Answers
Question:
Solution:
The definition of parallel lines tells us that if two lines are parallel, they have the same slope. On the other hand, the slope-intercept form of a line is given by the following formula:
y = mx+b
where m is the slope of a line. In this case, the slope of the given line would be m = -2/3. Then the correct answer would be:
\(-\frac{2}{3}\)
Related Questions
You may need to use the appropriate appendix table or technology to answer this question. The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n1 = 20 n2 = 30 x1 = 22.8 x2 = 20.1 s1 = 2.2 s2 = 4.6 (a) What is the point estimate of the difference between the two population means? (Use x1 − x2. ) 2.7 (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) At 95% confidence, what is the margin of error? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the difference between the two population means? (Use x1 − x2. Round your answers to one decimal place.)
Answers
a). The difference between the two population means is estimated at a location to be 2.7.
b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.
c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).
d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.
What is standard deviations?The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.
Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample
\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).
With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.
We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).
The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the
average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).
Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).
The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).
As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.
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The drug warfarin, an anticoagulant, is metabolized by the body and leaves at a rate proportional to amount still in the body. Use this fact in both parts (a) and (b) below.
(a) If a patient, who has no Warfarin in his system, is given a pill containing 2.5 mg of Warfarin, write a differential equation for the quantity Q(t) (in mg) of warfarin in the body t hours later. Be sure to include an initial condition.
(b) A second patient, who has no Warfarin in her system, is given Warfarin intravenously at a rate of 0.5 mg/hour. Write a differential equation for the quantity Q(t) (in mg) of warfarin in the body of this patient t hours later. Be sure to include an initial condition.
*This is the problem, there is no more information provided.
These are my answers, just want to make sure they are right:
(a) Q' = -2.5Q Q(0) = 0
(b) Q' = 0.5Q - 2.5Q Q(0) = 0
Answers
The differential equation concerning the given question is Q' = -2.5Q Q(0) = 0 . Therefore the required correct answer for the question is Option A.
a) The differential equation expressing the quantity Q(t) of warfarin in the body, at t hours later when a patient who is suffering from Warfarin is given a pill containing 2.5 mg of Warfarin then,
dQ/dt = -kQ
here Q(0) = 2.5
b) The differential equation the expressing the quantity Q(t) of warfarin in the body, at t hours later when a patient who is not suffering from Warfarin is given a pill containing 0.5 mg/hr then,
dQ/dt = -kQ + r
where Q(0) = 0
Here
k = rate constant
r = rate of administration
The differential equation concerning the given question is Q' = -2.5Q Q(0) = 0 . Therefore the required correct answer for the question is Option A.
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The rate at which Warfarin leaves the body should be proportional to the amount still in the body, not a constant rate of 2.5. So the correct differential equation for part (b) is:
Q' = 0.5 - kQ, where Q(0) = 0
Where k is the proportionality constant for the rate of elimination.
Explanation
(a) Let's denote the rate of elimination as k, where k > 0. Since the elimination rate is proportional to the amount of warfarin, we can write the differential equation as:
Q'(t) = -kQ(t)
Given that the initial condition is a 2.5 mg pill, the initial condition should be:
Q(0) = 2.5
So the differential equation for part (a) is:
Q'(t) = -kQ(t), Q(0) = 2.5
(b) In this case, the patient receives warfarin intravenously at a rate of 0.5 mg/hour. Thus, we should add the rate of administration to our equation:
Q'(t) = 0.5 - kQ(t)
The initial condition is still that the patient has no warfarin in her system:
Q(0) = 0
So the differential equation for part (b) is:
Q'(t) = 0.5 - kQ(t), Q(0) = 0
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in a blueprint, each square has a side length of 1/4 inch. a reduced drawing of a blueprint. the bedroom has 5 square along the length and 4 squares along the width. the bathroom has 4 squares along the length and 2 squares along the width. the living room has 7 squares along the length and 4 squares along the width. a. ceramic tile costs $5 per square foot. how much does it cost to tile the bathroom? it would cost $ to tile the bathroom. b. carpet costs $18 per square yard. how much does it cost to carpet the bedroom and living room? it would cost $ to carpet the bedroom and living room. skip to navigation
Answers
The total cost to put tile in bathroom and carpet in bedroom and living room as the calculated area is equal to $640 and $1535.94.
As given in the question ,
Scale measure of blue print = 1/4 inch
1 inch = 4 ft
Area wise = 4 × 4
= 16 square feet
Dimensions of bathroom are:
length = 4 squares
= 4 × 4
= 16ft
and width = 2squares
= 8ft
Area of bathroom = (16 × 8)
= 128 square feet
Cost of ceramic tile is $5 per square foot
Cost to put tiles in a bathroom = 128 × 5
= $640
Area of bedroom = ( 5×4) ×(4×4)
= 320 square foot
Area of living room = ( 7×4) ×(4×4)
= 448 square foot
Total area of (bedroom and living room) = 768 square feet
= 85.33 square yards
Cost of a carpet is $18 per square yard
Total cost to use carpet for bedroom and living room
= ( 85.33) × 18
= $1535.94
Therefore, the cost to tile a bathroom as per calculated area is $640 and similarly cost to put carpet in bedroom and living room is $1535.94.
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On a negatively skewed curve, which is true?a.The median is lower than the mode which is lower than the mean. b.The mean, median, and mode are the same. c.The mean is lower than the median which is lower than the mode. d.The mode is lower than the mean which is lower than the median. e.The mean is lower than the mode which is lower than the median.
Answers
A distribution is negatively skewed if the mode is larger than the mean. The final answer is C.
In a negatively skewed distribution:
A. the median is larger than the mode.
B. the mean is larger than the mode.
C. the mode is larger than the mean.
D. the mean is larger than the median.
Negatively Skewed Distribution:
left skewed distributions occur when the long tail is on the left side of the distribution. Statisticians also refer to them as negatively skewed. This condition occurs because probabilities taper off more slowly for lower values. Therefore, you’ll find extreme values far from the peak on the low side more frequently than the high side.
The distribution is negatively skewed if the data values are clustered on the right side of the curve causing it to have a peak on the right but a flatter tail on the left side. This happens when the data set has more frequently occurring higher values than lower values.
When the median is closer to the box’s higher values and the lower whisker is longer, it’s a left skewed distribution. Notice that the longer tail extends towards the lower values, making it negatively skewed.
To find out if the data set follows a normal or skewed distribution, the three measures of central tendency (mean, median, and mode) can be compared.
The mean is greater than the median. The mean overestimates the most common values in a positively skewed distribution
The distribution is negatively skewed if the mean is lesser than the median and the median is lesser than the mode.
The given scenario is the same as negatively skewed I if the mode is larger than the mean. The final answer is C.
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The mean of Tom’s scores on 5 tests was 77.4%. The scores on his first four tests were 88, 77, 70, and 72. What was Tom’s score on his fifth test?
Answers
Answer:
88%
Step-by-step explanation:
First we multiply the mean by 5.
77.4 x 5 = 387
Then we add all of the test scores.
88 + 77 + 70 + 72 = 299
We subtract the total of the scores from 387, which we got from mulitplying the mean by 5.
387 - 299 = 88
Therefore, Tom's score on his fifth test was an 88%.
Hope this helps!
When the mean of the sampling distribution is the same value as the population parameter, we can say that the statistic is:________-
Answers
When the mean of the sampling distribution is the same value as the population parameter, we can say that the statistic is an unbiased estimator.
What is an unbiased estimator?An unbiased estimator happens to be the situation in statistics where the expected value of a population parameter is the same as the true value of that same parameter.
Hence we can conclude that When the mean of the sampling distribution is the same value as the population parameter, we can say that the statistic is an unbiased estimator.
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Can someone explain step by step?
Sally makes $580 a week and her weekly salary is taxed 20%. How much is her weekly take home salary?
Answers
Answer:
464 dollars.
Step-by-step explanation:
Step-by-step explanation:
20/100x580
11600/100
=116
therefore, 580-116 equal 464
Sally take home salary will be $464
Two sides of a triangle are perpendicular. If the two sides are 8cm and 6cm, calculate correct to the next degree, the smallest angle of the triangle. (A)35° (B)36° (C)37° (D)38° (E)53°
Answers
\(\boxed{Given:}\)
Length of the perpendicular ( opposite ) = 6 cm.
Length of the base ( adjacent ) = 8 cm.
\(\boxed{To\:find:}\)
The smallest angle of the triangle.
\(\boxed{Solution:}\)
\(\sf\purple{C.\:37°}\) ✅
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
In a right-angled triangle, if two sides are given, the measure of the unknown angle can be known.
Since the value of opposite and adjacent sides are given, we use the tangent formula.
tan θ = \(\frac{opposite}{adjacent}\)
✒ tan θ = \(\frac{6 \: cm}{8 \: cm}\)
✒ θ = \({tan}^{ - 1}\) (0.75)
✒ θ = 36.9°
✒ θ = 37°
Now let us find the other unknown angle 'x'.
We know that,
Sum of angles of a triangle = 180°
✒ 37° + x + 90° = 180° (90° since it is a right-angled triangle)
✒ x + 127° = 180°
✒ x = 180° - 127°
✒ x = 53°
Therefore, the three angles of the triangle are 37°, 53° and 90°.
Hence, the smallest angle is 37°.
\(\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}\)
Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.
•
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and .
+
Answers
Answer:
their lowest common multiple (LCM) is 60
Step-by-step explanation:
numbers, writing your answers on one line in the form,
The two numbers are ... and .
A rectangle has a perimeter of 42 m and a length of 15 m. What is
the width of this rectangle in metres? (Perimeter = 2(length + width))
Answers
Answer:
6 meters
Step-by-step explanation:
the perimeter is all of the sides added up so to find the added width you subtract the added length which is 30 so 42-30 is 12 so the added width is 12. To find one width you divide 12 by 2 so one width of the rectangle would be 6 meters
2
L
+
2
W
=
P
. The diagonals can be represented as 2+2=2
L
2
+
W
2
=
D
2
. Plugging in, we have:
2+2=42⟹+=21
2
L
+
2
W
=
42
⟹
L
+
W
=
21
2+2=152=225
L
2
+
W
2
=
15
2
=
225
We can square the first equation and subtract the second:
+=21
L
+
W
=
21
(+)2=212
(
L
+
W
)
2
=
21
2
2+2+2=441
L
2
+
2
L
W
+
W
2
=
441
2+2+2−(2+2)=441−225
L
2
+
2
L
W
+
W
2
−
(
L
2
+
W
2
)
=
441
−
225
2=216
2
L
W
=
216
It doesn’t tell us much, but we can now more easily substitute and solve for
L
.
=21−
W
=
21
−
L
& =108
L
W
=
108
(21−)=108
L
(
21
−
L
)
=
108
21−2=108
21
L
−
L
2
=
108
2−21+108=0
L
2
−
21
L
+
108
=
0
We can use the quadratic formula
=−±2−4√2
x
=
−
b
±
b
2
−
4
a
c
2
a
=21±441−432√2=21±9√2=21±32
L
=
21
±
441
−
432
2
=
21
±
9
2
=
21
±
3
2
=21+32=242=12
L
=
21
+
3
2
=
24
2
=
12
=21−32=182=9
L
=
21
−
3
2
=
18
2
=
9
We now know =9
L
=
9
or =12
L
=
12
. From this, we can calculate
W
by plugging
L
into =21−
W
=
21
−
L
.
=21−9=12
W
=
21
−
9
=
12
=21−12=9
W
=
21
−
12
=
9
We have two solutions:
1)=9
1
)
L
=
9
& =12
W
=
12
2)=12 2)L=12 &
=9 W=9
Both of which are the same, though. Our rectangle has side lengths of 9
9
, 12
12
, 9
9
, & 12
12
.
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answers
First:
A. (First Option)
Second:
C. (Third option)
(Brainiest and thanks are appreciated)
Answer:
Question 3:
O (7 x 50) - (7 x 2) = 350 – 14 = 336
Question 3:
O (9 x 80) + (9 x 1) 729
Step-by-step explanation:
Distributive Property is used in algebraic expressions, to divide the equation, to make it easier to solve. For question 1, since it was 20, you must subtract 8 from that answer, because 20 is 1 more than 19. For question 2, (2 x 9) + (2 x 3) would be the same thing as 2(9+3).
-kiniwih426
Given this portion of an input-output table for a linear equation (that is a
function), find the slope and the y-intercept. Select the answer below that
represents your equation:
Answers
Answer:
y = 1/2x + 7
Step-by-step explanation:
I need help with this plzzz percent equations blank % of $900,000 = $270,000
Answers
Answer:
30%
Step-by-step explanation:
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite directior
The number b varies directly with the number a. For example b
22 whena=-2Which equation represents this
direct variation between a and b?
Ob=-a
Ob--a
Ob-a=0
O b-a) =0
Answers
Answer:
b=-a
Step-by-step explanation:
Becaude when b is positive a will be negative
And when b is negative a will be positive.
whats the equation ??
Answers
Answer:
the equation is 10 + -3x = y
The gcf of 16mn and 24m
Answers
You’d first have to find all the favors of both numbers.
The highest number they both share is going to be your Greatest Common Factor (GCF).
If they share any letters, add those as well.
Hope this helps!
The line y = 5x + 2 is shown. -22- 20 18 16 14 12 10- 8 6 0 6 8 Eva wants to use the line to solve the equation 5x + 2 = 11 a) Explain how Eva could do this.
Answers
She will plot a graph using the given points and trace the point y = 11 to the x-axis.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
Firstly she would have form tables of values for x and y using y = 5x + 2 x-values had been given as -22- 20 18 16 14 12 10- 8 6 0 6 8 .
Then plot a graph of the line y =5x + 2 with y on the vertical and x on the horizontal.
After plotting the graph, on the vertical axis trace y = 11, draw a horizontal line from y = 11 until it just touches the straight line graph from that point drop a vertical line until it touches the x-axis. the value of x there is the solution of the equation y = 5x +2.
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Juan weighs 185 pounds. Water makes up 68% of his body weight. How much does the water in his body weight
Answers
The requried water present in Juan's body weight is 57.13 kilograms or 117.13 pounds.
To find out how much water is in Juan's body weight, we need to multiply his body weight by the percentage of his weight that is water:
Water weight = Body weight × Percentage of body weight that is water
First, we need to convert Juan's weight from pounds to a more suitable unit for the calculation, such as kilograms:
185 pounds = 84.09 kilograms
Calculate the water weight:
Water weight = 84.09 kg x 68/100 = 57.13 kg
Therefore, the water in Juan's body weight is 57.13 kilograms or 117.13 pounds.
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absolute value of -3 |xy|
Answers
Answer:
|-3| = 3
Step-by-step explanation:
What are the solutions to the equation Sine (x + StartFraction 7 pi Over 2 EndFraction) = negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction over the interval [0, 2Pi]?
Answers
Given:
The equation is
\(\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}\)
To find:
The solutions of given equation over the interval \([0,2\pi]\).
Solution:
We have,
The equation is
\(\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}\)
\(\sin\left(x+\dfrac{7\pi}{2}\right)=-\sin \dfrac{\pi }{3}\)
\(\sin\left(x+\dfrac{7\pi}{2}\right)=\sin (-\dfrac{\pi }{3})\)
If \(\sin x=\sin y\), then \(x=n\pi +(-1)^ny\).
Over the interval \([0,2\pi]\).
\(x+\dfrac{7\pi}{2}=4\pi-\dfrac{\pi }{3}\) and \(x+\dfrac{7\pi}{2}=5\pi+\dfrac{\pi }{3}\)
\(x=\dfrac{11\pi }{3}-\dfrac{7\pi}{2}\) and \(x=\dfrac{16\pi}{3}-\dfrac{7\pi}{2}\)
\(x=\dfrac{22\pi-21\pi }{6}\) and \(x=\dfrac{32\pi-21\pi }{6}\)
\(x=\dfrac{\pi}{6}\) and \(x=\dfrac{11\pi }{6}\)
Therefore, the two solutions are tex]x=\dfrac{\pi}{6}\) and \(x=\dfrac{11\pi }{6}\).
Answer:
C. π/6 & 11π/6
Step-by-step explanation:
If you graph the equation ( Sin (x+7π/2)=-√3/2) and look between 0 & 2π, you'll see that the lines intersect the x-axis at π/6 & 11π/6.
what is the value of 0.75-0.6
Answers
0.15
what is the graph of x+y=8 and y=x+6
Answers
Answer:
(1, 7)
Step-by-step explanation:
By looking at the graph, the solution is (1, 7).
A population has a mean of 53 and a standard deviation of 21. A sample of 49 observations will be taken. The probability that the sample mean will be greater than 57.95 is ___. a. 0.450 b. 0.9505 c. 0.0495 d. 0
Answers
The probability that the sample mean will be greater than 57.95 is 0.0495.
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.
To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.
Normal probability distributionProblems of normally distributed samples can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z=\dfrac{X-\mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit TheoremThe Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).
In this problem, we have that:
\(\mu=53,\sigma=21,\text{n}=49,\text{s}=\frac{21}{\sqrt{49} }=3\)The probability that the sample mean will be greater than 57.95
This is 1 subtracted by the p-value of Z when X = 57.95. So
\(Z=\dfrac{X-\mu}{\sigma}\)
By the Central Limit Theorem
\(Z=\dfrac{X-\mu}{\text{s}}\)
\(Z=\dfrac{57.95-53}{3}\)
\(Z=1.65\)
\(Z=1.65\) has a p-value of 0.9505.
Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495
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Will mark BRAINLIEST!!!!Which equation represents the relationship between x and y?
X
у
1
4
2
5
3
6
4
7
y = 3x + 1
y = x + 1
y = x + 3
y = x - 3
Answers
Answer:
Third one
Step-by-step explanation:
y=x+3
find the ratio of 2 meters to 76 centimeters
Answers
The ratio of 2 meters to 76 centimetres is 50: 19.
How to find ratios of units?In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
In simpler terms, a ratio compares values.
Let's find the ratio of 2 meters to 76 centimetres as follows:
We have to first convert the units so they will be same.
Hence,
1 cm = 0.01 m
76 cm = ?
cross multiply
length in metres = 76 × 0.01
length in metres = 0.76 metres
Therefore, let's multiply the 2 units by 100.
0.76 × 100 = 76 metres
2 × 100 = 200 metres
In ratio, 200 : 76 will be simplified as 50 : 19
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Hi, I need help and all correct answers please, thanks! :) (4 screenshots included)
Answers
Answer: The y intercept is 1.
Step-by-step explanation: Sorry I could only answer the one about the y-intercept. So basically finding the y intercept is where the line crosses at the y-axis. So in this case the y-intercept is 1 because thats the point the line crosses at the y-axis. I hope this clarifies your question and I hope this helps. Good Luck on your upcoming test if you have one soon!
Aim High To The Sky
James McDonald
Aim high to the sky,
In all that you do.
Because you just never know,
What it takes to be you.
Be strong and be brave,
But at the same time be kind.
And always be sure,
That you're using your mind.
Based on the poem the reader can conclude that the speaker -
A. feels effort and thoughtfulness to others are all important
B, thinks trying your best is the only important thing
C.feels that success is the most important thing in life
D. thinks that everyone will succeed if they work hard enough
( PLEASE HELP )
Answers
Answer:
A
Step-by-step explanation:
Because That's The Main Idea
Tracy ran 1 1/2 miles around the track. Each lap is 1/2 of a mile. How many laps did Tracy run?
Answers
Tracy ran 3 laps around the track.
What are laps?Laps can refer to the circular tracks used for running or racing. For example, a running track is often called a "track and field oval" or a "400-meter oval" because it is a loop that is 400 meters long. Each loop around the track is called a "lap."
Laps can also refer to a unit of measurement for swimming. In swimming, a "lap" is typically defined as two lengths of a pool. For example, if a pool is 25 meters long, one lap would be swimming from one end to the other and back again.
In some contexts, "laps" can also refer to a measurement of time. For example, if someone says they ran 10 laps around a track, they might mean they ran 10 loops around the track, or they might mean they ran for a certain amount of time (e.g., 10 minutes) without specifying how many laps that involved.
given by the question.
To find out how many laps Tracy ran, we can divide the total distance she covered (1 1/2 miles) by the distance of each lap (1/2 mile).
1 1/2 miles is the same as 3/2 miles.
So, to find the number of laps, we can divide 3/2 miles by 1/2 mile:
(3/2) ÷ (1/2) = 3
To learn more about miles:
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Explain how solving -7y > 161 is different from solving 7y > -161.
Answers
Answer:
what the person above me said is correct :)
Step-by-step explanation:
Answer:
Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>
Step-by-step explanation:
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