5/10 is between 4/10 and 6/10, so you could say they average 5/10 miles per day.
5/10 = 1/2
1/2 mile per day x 30 days = 15 miles
The best estimate is she walks 15 miles in 30 days.
Fidgets cost $3 each and Pop Its cost $4 each. If you buy a total of 20 Fidgets and Pop
Its for $75, which system of equations could you use to determine how many of each
you bought? Let x represent the number of fidgets you bought and y represent the
number of pop its you bought.
The number of fidgets and pop bought was 15 each
How to determine the equationFrom the information given, we have that;
1 fidget costs $3
1 Pop cost $4
Let the number of Fidgets be x
Let the number of Pop be y
Then, we have that a total of 20 fidgets and Pop cots $75
We have that;
20x + y = 75
Now, substitute the value of x as 3, we get;
20(3) + y= 75
expand the bracket
y = 75 - 60
y = 15
The number of fidgets is expressed as;
20x/4 = 20(3) /4 = 15
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Mai's class volunteered to clean a park with an area of square mile. Before they took a lunch break, the class had cleaned of the park. How many square miles had they cleaned before lunch?
The class had cleaned x × A square miles before lunch.
Let's assume that the area of the park is A square miles, and the portion of the park cleaned by Mai's class before the lunch break is represented by x (a fraction or decimal between 0 and 1).
If the class had cleaned x portion of the park, then the area they had cleaned is x times the total area of the park:
Area cleaned before lunch = x × A
Since x represents a fraction or decimal, multiplying it by the total area A gives us the corresponding portion of the park that was cleaned.
Let's say the park has an area of A square miles, and the area that Mai's class cleaned up before lunch is denoted by the number x (a fraction or decimal between 0 and 1).
If the class had cleaned a certain percentage of the park, their cleaned area would be x times the park's overall area:
Before lunch, the area was cleaned = x A
We may calculate the proportion of the park that was cleaned by multiplying x by the entire area A because it indicates a fraction or decimal.
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please need help on this #3
Answer:
a. 5
b. 10
c. 15
d. 4
e. 6
f. 9
Step-by-step explanation:
It asks for the indicated distance, which would translate as the absolute value of the distance between the two points. Using that, it is simple subtraction to find your answer.
At What point is the maximum value found in the system of inequalities graphed below for the functionf(x, y) = x - 2y?
The correct answer is C. 5,0
Let´s replace on the equation given:
Inverse function question!???
Answer:
D) \(f^{-1}(x)=(x-3)^2+2\)
Step-by-step explanation:
\(f(x)=\sqrt{x-2}+3 \implies x=\sqrt{f^{-1}(x)-2}+3 \\ \\ x-3=\sqrt{f^{-1}(x)-2} \\ \\ (x-3)^2=f^{-1}(x)-2 \\ \\ f^{-1}(x)=(x-3)^2+2\)
Note we take the positive case because the domain of the original function is the same as the range of the inverse, and the domain of \(f(x)\) is \([2, \infty)\).
50 Points! Multiple choice algebra question. Photo attached. Thank you!
The value of the sine of the angle is 9/13 in the supplied value. Choice A
The connection between sin and cosecThis relationship is based on the reciprocal interaction between the sine (sin) and cosecant (cosec) functions. The cosecant of an angle is the reciprocal of the sine of that angle.
The cosecant of an angle is its reciprocal, which is the sine of that angle. Because of this, if the sine of an angle is zero, its cosecant cannot be divided by zero and is hence undefinable.
We know that;
cosec(θ) = 1/sin(θ)
Then
sin(θ) = 1/(13/9)
= 9/13
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this distance between two floors is 9'0 1/2". if 14 raisers are to be used in a set of stairs, what is the height of each raiser?
If the total height between two floors is 9'0 1/2" and 14 risers are to be used in a set of stairs, the height of each riser would be approximately 7.75 inches.
To find the height of each riser in a set of stairs given the total height between two floors, we need to divide the total height by the number of risers.
First, let's convert the total height to a consistent unit. The distance between two floors is given as 9'0 1/2". We can convert this to inches by multiplying the feet by 12 and adding the remaining inches:
9 feet = 9 * 12 = 108 inches
0 1/2 inch = 0.5 inch
Total height = 108 + 0.5 = 108.5 inches
Next, we divide the total height by the number of risers (14) to find the height of each riser:
Height of each riser = Total height / Number of risers
Height of each riser = 108.5 inches / 14
Using a calculator, we can compute:
Height of each riser ≈ 7.75 inches
Therefore, the height of each riser in the set of stairs would be approximately 7.75 inches.
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plz help will mark brainlest if correct #7-8 plz
9. The cost of delivering packages is $1.70 per package. The fixed cost to run the
delivery truck is $84 per day. If the company charges $7.70 per package delivered, how many
packages must be delivered a day to break even?
Answer:
14
Step-by-step explanation:
7.70-1.70=6
84/6=14
Solve for x.
14 = 28 + 7x
Answer:
X = 2
Step-by-step explanation:
14= 28 + 7x
28 - 14 = 7x
14 = 7x
14 / 7
2 = x
Answer:
x = − 2
Step-by-step explanation:
y-5x 7x + xy x = 0 and y = 4
Answer:
x(7y)x(7y)
Step-by-step explanation:
The given expression: 7(xy)7(xy)
i.e. a product of 7 and xy.
The operation used here: Multiplication.
Commutative property of multiplication :-
a\times b=b\times aa×b=b×a for any numbers a and b.
Associative property of multiplication :-
a\times(b\times c)=(a\times b\times c)a×(b×c)=(a×b×c) for any numbers a , band c.
Now, 7(xy)=(7x)y7(xy)=(7x)y [Associative property of multiplication]
=(x7)y=(x7)y [Commutative property of multiplication]
=x(7y)=x(7y) [Associative property of multiplication]
Simplify this expression:2x + 3 – (5 – 6x).
Answer:
8x - 2
Step-by-step explanation:
2x + 3 - (5 - 6x) ← distribute parenthesis by - 1
= 2x + 3 - 5 + 6x ← collect like terms
= (2x + 6x) + (3 - 5)
= 8x + (- 2)
= 8x - 2
Fill in the blank with the correct response.
In a standard normal distribution
___% of the data is within 2 standard deviations of the mean.
Answer:
In a standard normal distribution
95% of the data is within 2 standard deviations of the mean.
have a nice day! (^o^)
Ebony kept her bank account open for only 3 weeks, and the graph shows the entire 3 weeks. During that time, her greatest balance was $400.
(a) Give the domain and range of the function.
(b)Give an estimate to the nearest hundreds for . Explain how you determined your estimate and tell what means in context of the situation.
(c)Ebony’s bank balance first reached $0 on Day 12. How would you show that information in function notation?
(d)Ebony’s bank balance remained at $0 from Day 12 through Day 15. As you count segments from the left, which segment on the graph1, 2, 3, 4, 5, or 6 represents that information? Explain how you know.
The domain of the function B(d) is from d = 0 to the number of days the account was open will be 0 ≤ d ≤ 21.
How to illustrate the information?The range is the set of values the bank balance might have. We know the minimum is 0 and the maximum is 400 0 ≤ B ≤ 400.
The balance on day 12 is B(12). We're told it is zero, so B(12) = 0 The 4th segment of the graph is at B(d) = 0.
In this context, it is reasonable to assume the vertical scale starts at 0 at the horizontal axis. We are told that (12, 0) is a point on the graph.
It is consistent with this assumption that slightly more than halfway through the graphed domain, the graph meets the horizontal axis. The graph stays at the horizontal axis for segment 4.
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Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue, how much shaving cream does she need?
The ounces of shaving cream will be 230 ounces.
How to illustrate the ratio?Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
In this case, Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue ,the shaving cream will be:
= 56 ÷ 7/15
= 56 × 15/7
= 120
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Conditional Probabilities:A tine test is a common method to determine if a person hasbeen exposed to tuberculosis. Approximately 4% of people in the US have been exposed. Using the tine test, 92.5% of people who have been exposed test positive, and 98% of those not exposed test negative. For a random individual:.a.What is the probability that the person tests positive andhas been exposed to tuberculosis
Answer:
The answer is "0.037"
Step-by-step explanation:
Given:
\(P(TB)=0.04\\\\P( \text{true positive})=92.5 \% = \frac{92.5}{100} = 0.925\\\\P \text{(true negative)}=98 \%= \frac{98}{100}=0.98 \\\\P\text{(positive and TB)}=0.04 \times 0.925= 0.037 \\\\\)
A jar holds 20 cookies, 13 are chocolate-chip cookies, and 7 are brussel-spout-with-turnip-chips cookies. You pick 4 cookies at random. What is the probability that you get exactly 2 of the brussel-spout-with-turnip-chips cookies?
The probability that exactly 2 of the brussel-spout-with-turnip-chips cookies is picked at random is 0.05 approximately to two decimal place.
Probability of an eventTo calculate the probability of an event, we identify an event of the required outcome result and the total number of results or possible outcomes that can occur, and thus divide the number of required outcomes by the total number of possible outcomes.
The total possible outcomes = 20
probability of picking a chocolate-chip cookies = 13/20
probability of picking brussel-spout-with-turnip-chips cookies = 7/20
probability of getting exactly 2 brussel-spout-with-turnip-chips cookies when 4 cookies are picked at random considering the they are not replaced after each pick is calculated as follows;
(13/20) × (13/20) × (7/20) × (7/20)
8281/160000
0.0518.
Hence, from our calculations by simplification the probability of getting exactly 2 brussel-spout-with-turnip-chips cookies when 4 cookies are picked at random is 0.05 approximately to two decimal place.
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Hey anyone mind helping me out? I would appreciate it!
We will use the relation \(\frac{QS}{SR}=\frac{PO}{OR}\)
The correct option is option C)
What is similarity in triangle?
We say two triangles are similar if all the corresponding angles of the two triangle are equal and all the corresponding sides are in equal proportions.
We are given the diagram
We first prove that Δ\(POR\)≅Δ\(QSR\)
∠\(PRO\)≡∠\(QRS\) (Same angle)
∠\(RPO\)≡∠\(RQS\) (Corresponding angle)
Hence by AA test of similarity the two triangles are similar
And therefore the corresponding sides of two triangles are in same ratio
Therefore we have,
\(\frac{PO}{QS}} =\frac{OR}{SR} =\frac{PR}{QR}\)
\(\frac{PO}{QS}} =\frac{OR}{SR}\)
And hence, \(\frac{QS}{PO}} =\frac{SR}{OR}\)
\(\frac{QS}{SR}} =\frac{PO}{OR}\)
Hence we will select option C)
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The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
Pls help me what’s (1/4)(1/4)(1/4)
Answer:
1/4³
Step-by-step explanation:
because you have 1/4 3 time that will turn as an exponet
11.in each of the following ABCD parralelgram calculate x and y
Answer:
x = 8/3, y = 16/3
Step-by-step explanation:
ΔBFE ~ ΔADE, so
x/8 = 6/(12 + 6), x = 8/3
y = 8 - x = 8 - 8/3 = 16/3
Drag the tiles to the correct locations on the image. Not all the tiles will be used.
The figure is a square, with side lengths as shown.
4√5mm
What are the perimeter and area of the square
The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².
To calculate the perimeter and area of the square, we can use the formulas:
Perimeter = 4 * side length
Area = side length * side length
Substituting the given side length of 4√5mm into the formulas, we have:
Perimeter = 4 * 4√5mm = 16√5mm
Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²
Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².
Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.
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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².
I took the test on plato.
A car traveling at 80 kilometers per hour is passed by a second car going in the same direction at a constant speed. After 30 seconds, the two cars are 500 meters apart. Find the speed of the second car.
The required speed of the second car is approximately 19.98 km/h.
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
Let's call the speed of the second car "x" in km/h.
The first car is traveling at 80 km/h, which is 22.22 m/s (meters per second) (since 1 km/h = 1000/3600 m/s).
After 30 seconds, the first car will have traveled a distance of,
distance = speed × time = 22.22 m/s × 30 s = 666.6 meters
Let's call the distance traveled by the second car in 30 seconds "d" in meters. Since the two cars are 500 meters apart after 30 seconds, we can set up the following equation,
d + 500 = 666.6 meters
d = 166.6 meters
Now the second car traveled 166.6 meters in 30 seconds.
speed = 166.6 meters / 30 seconds = 5.55 m/s
To convert this to km/h, we multiply by 3600/1000,
speed = 5.55 m/s × 3600/1000 = 19.98 km/h (rounded to two decimal places)
Therefore, the speed of the second car is approximately 19.98 km/h.
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Find the value of x. Round to the nearest tenth.
Answer:
x = 8.5
Step-by-step explanation:
\(\frac{sin28^{o} }{x} =\frac{sin83^{o} }{18}\)
\(x=\frac{18sin28^{o} }{sin83^{o} } =8.513\)
Rounded x = 8.5
Hope this helps
The probability of getting heads on a single coin flip is ;
2
The probability of getting nothing but heads
on a series of coin flips decreases by
2
for each additional coin flip. Enter an exponential function for the
probability p(n) of getting all heads in a series of n coin flips. Give your answer in the form a (b)'. In the
event that a = 1, give your answer in the form (b)'.
Help me learn how to solve this please
The percentage that can be filled with $3 in 1990 is: 29.41%
How to solve percentage increase problems?To calculate percentage growth rate:
Beginning:
Calculate the difference (increase) between the two numbers you are comparing. after that:
Divide the increment by the original number and multiply the result by 100. Growth rate = increment / original number * 100.
We are told that it cost $3 to fill a gas tank as at 1970.
Now, there was a percentage price increase of (78.8 - 23.1)% = 55.2% from 1970 to 1990. Thus:
Cost of a gallon in 1970 = $0.36
Thus, number of gallons bought with $3 = 3/0.36 = 8.33 gallons at full tank
Now, in 1990, the cost is $1.23 and as such:
Quantity that can be bought = 3/1.23 = 2.45 gallons
Percentage of tank filled = 2.45/8.33 * 100% = 29.41%
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What do these both represent
Answer:
Step-by-step explanation:
I think A repent 100 and B repent 10
Given AC and BD bisect each other at O prove AC is congruent to c
The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .
Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.
We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.
Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)
Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.
Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD
Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC
Therefore, AC is congruent to c .
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Find the slope of the tangent line to the curve defined by 4x2+5xy+y4=370
at the point (−9,−1)
Answer:
The slope of the tangent line to the curve at the given point is -11/7.
Step-by-step explanation:
Differentiation is an algebraic process that finds the gradient (slope) of a curve. At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.
Given function:
\(4x^2+5xy+y^4=370\)
To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.
Begin by placing d/dx in front of each term of the equation:
\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)
Differentiate the terms in x only (and constant terms):
\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)
Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:
\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
Use the product rule to differentiate terms in both x and y.
\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)
\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:
\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)
\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)
To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)
Therefore, slope of the tangent line to the curve at the given point is -11/7.
Two bells P and Q ring at intervals of 3hours and 4hours respectively. After how many hours will the two bells first ring simultaneously (at the same time)
Answer:
12 hours
Step-by-step explanation:
4 / 2
2/2
1
4 = 2²
2² x 3 = 4 x 3 = 12