Solution
We know that Benito runs 1/10 mile each day and we want to find the number of days that benito will take tu run 3/5 mile so then we can do this:
\(\frac{\frac{3}{5}\text{mile}}{\frac{1\text{mile}}{10\text{day}}}=6\text{days}\)Then the answer is:
C. Divide 3/5 by 1/10
The graph of a linear relationship contains the points (1,10) and (3,16) write the equation of the line in slope
Answer:
Step-by-step explanation:
The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.
Answer y == 3
+7
Step-by-step explanation:
The graph of a linear relationship contains the points (1, 10) and (3, 16).
Write the equation of the line in slope-intercept fo
Step-by-step explanation:
the general slope-intercept form is
y = ax + b
a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.
b is the y-intercept - the y value when x = 0.
for the slope we see
x changes by +2 (from 1 to 3)
y changes by +6 (from 10 to 16)
so, the slope a is +6/+2 = 3
and the semi-ready equation is
y = 3x + b.
now we use one of the points in the equation to solve for b. I picked (1, 10) :
10 = 3×1 + b = 3 + b
b = 7
so, the full equation is
y = 3x + 7
This circle has a radius of 5 cm. What is the area of the circle?
Use = 3.14.
A.
157 cm2
B.
31.4 cm2
C.
15.7 cm2
D.
78.5 cm2
Answer:
D
Step-by-step explanation:
Answer:
A=πr²
3.14×5²
3.14×25
=78.5cm²
If a= 3 and b= 5; find
(a+b)
Answer: 3/8
Step-by-step explanation:
A=3
B=5
3/3+5=3/8
11 times the sum of a number and 3
Answer:
11(x+3) is correct answer. Please Mark it as brainlist answer.
Step-by-step explanation:
let's say the unknown number be x
11(x+3)Simplify it:
11(x+3)
=11x+33the aircraft leave an air field at the same time. One travels due North at an average speed of 300km/h the other travels due west at an average speed of 220km/h. Calculate the distance apart after 4 hours.
The distance that the two planes are apart after four hours is given as follows:
1,488 km.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.The distances of each plane after four hours are given as follows:
North 4 x 300 = 1200 km.West 4 x 220 = 880 km.The distance is the hypotenuse of a right triangle, hence it is obtained applying the Pythagorean Theorem as follows:
d² = 1200² + 880²
d = sqrt(1200² + 880²)
d = 1,488 km.
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What are your top 3 theorems in higher mathematics? Why do you like them the most?
My theorems include the Pythagoras theorem, midpoint theorem, and angle bisector theorem.
How to illustrate the theorem?The Pythagoras theorem is used to find the length in a right angle.
The midpoint theorem states that the line segment in a triangle is parallel to the third side and is half the length.
The angle bisector theorem is concerned with the lengths of the two segments that the triangle side is divided into by a line which bisects the opposite angle.
I like them because they're important when solving triangle related problems.
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need helpfind the diameter of each circles. Round your answer in the nearest tenth.
The diameter of the circle = 23.6 in
Explanation:GIven: radius = 11.8 in
To get the diameter, we will multiply the radius by 2:
diameter = 2(radius)
\(\begin{gathered} \text{diameter = 2(}11.8\text{ in)} \\ \text{diameter = 23.6 in} \end{gathered}\)The diameter of the circle = 23.6 in
I need help on this to find what the relationship is
Answer:
The correct answer is D
hope that will help
Write an exponential function to describe the given sequence of numbers.
9, 27, 81, 243, 729, ...
Answer: 2187
Step-by-step explanation: Raise 3 to the power of 7 = 2187
Rob is a high school student taking both algebra and geometry. Last night he had 27 homework problems combined from the two classes, and he took a total of 90 minutes Which value of k would cause the system of linear equations 35 x + 14 y = 119 and 5 x + 2 y = k to have an infinite number of solutions?
3
7
17
21
A system of the equation to be Dependent Consistent System the system must have multiple solutions. The correct option is C.
What is a System of equation?Inconsistent System
A system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
For the system of equations to have infinite number of solutions, the lines of the equations must coincide, therefore, the line must overlap on each other.
For the lines to overlap the equations must be in a ratio. Therefore, the ratio of the left sides of the equations must be equal to the right side,
\(\dfrac{35x+14y}{5x+2y} = \dfrac{119}{k}\\\\\\\dfrac{7(5x+2y)}{5x+2y} = \dfrac{119}{k}\\\\\\\dfrac71 = \dfrac{119}{k}\\\\k = 17\)
Hence, the value of k must be 17, therefore, the correct option is C.
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Question 2 (15 points )
Determine the scale factor from circle A to circle B.
O
Scale factor =
B
30
Thus, the scale factor from circle A to circle B is found to be 2.
Explain about the scale factor:The ratio between comparable measurements of just an element and a portrayal of that element is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller.
You must first choose which direction we are scaling in order to determine the scale factor:
Scale Up = larger measurement / smaller measurement (smaller to larger).Smaller measurement equals greater measurement when scaling down.The radius of circle A = 2 units
The radius of circle B = 4 units.
So, there is a dilation with the scale factor of 2 units as 2*2 = 4 units.
Thus, the scale factor from circle A to circle B is found to be 2.
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Find the value of X.
Answer:
X = 5
Step-by-step explanation:
Angles on a straight line=180°
180-151=29°
sum of angles in a triangle= 180°
11x-1+20-3+29=180
11x+20x-3-1+29=180
31x+25=180
31x=180-25
31x=155
divide both sides by 31
X=5
(11x-1)°= 55-1= 54°
(20x-3)°= 100-3= 97°
54°+97°+29°=180°
PLEASE HELP! I am doing Imagine Math and I need help with this question!
Evaluate 64 to the power of 1/2 x 10 to the power of -2
from a point 1.75 m above the ground and 10 m away from a tower the angle of elevation of a top of a tower is 60 degree calculate the height of the tower
Answer:
17.32 meters
Step-by-step explanation:
Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.
Using trigonometry, we can calculate that:
tan (60) = H / 10
H = 10 * tan (60)
H = 10 * √3
H = 17.32 m
Therefore, the height of the tower is 17.32 meters.
Let me know if I helped :)
The question is asked in the attached file,. Kindly someone answer it in the best way.
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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5TH GRADE LEVEL QUESTION: look at photo and answer the question. handing out brainliest.
Answer:
13
Step-by-step explanation:
4 ÷ 2 + (2 × 3 + 5) = 2 + (6 + 5)
= 2 + 11
= 13
Evaluate the multiplication and divisions first before evaluating the additions and subtractions in an equation. Brackets also have a priority of beign evaluated first.
Answer:
18
Step-by-step explanation:
4/2=2
2×(3+5)=16
16+2=18
J&L Electrical Services had a beginning balance (1 January 2019) in accounts receivable (debtors) of R200 000 and a beginning balance of allowance for credit losses of R4 000. During the financial year (1 January 2019 – 31 December 2019) they delivered services on credit for R660 000 and collected R640 000 from debtors. If J&L Electrical Services estimates that 2% of ending accounts receivable will not be collected, his adjusting journal entry will include a: A. credit to allowance for credit losses of R4 400. B. debit to allowance for credit losses of R400. C. debit to allowance for credit losses of R4 400. D. credit to allowance for credit losses of R400.
The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.
the correct answer is C. debit to allowance for credit losses of R4,400.
To determine the adjusting journal entry for J&L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.
Beginning balance of accounts receivable: R200,000
Services delivered on credit: R660,000
Collections from debtors: R640,000
To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:
Ending accounts receivable = (Beginning balance + Services delivered) - Collections
Ending accounts receivable = (R200,000 + R660,000) - R640,000
Ending accounts receivable = R220,000
Now, we need to calculate the adjustment for the allowance for credit losses. J&L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:
Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage
Allowance for credit losses adjustment = R220,000 * 2% = R4,400
Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:
the correct answer is C. debit to allowance for credit losses of R4,400.
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2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
Two window washers, Tori and Nathan, lean a ladder against the side of a building so that Tori can wash a window while Nathan holds the ladder. The top of the ladder reaches the window, which is 12 feet off the ground. The base of the ladder is 5 feet away from the building. How long is the ladder?
Answer:
13 feet
Step-by-step explanation:
This is a right triangle problem
Use the Pythagorean Theorem
c² = a² + b²
c² = 12² + 5²
c² = 144 + 25
c² = 169
Take the square root of both sides
c = 13
Find the approximate area of the shaded region. Use 3.14 for pi
The area of the shaded region of the rectangle is approximately 573.92 square feet.
What is the area of the shaded region?The figure in the image is that of a rectangle with a semi-circle inscribed in it.
The area of rectangle is expressed as:
Area = Length × Width
The area of semi-circle is expressed as:
Area = 1/2 × πr²
To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.
Area of shaded region = area of rectangle - area of semi-circle
Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )
From the image:
Length = 40 ft
Width = 20 ft
Radius r = 12 ft
Plug the values into the above formula:
Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )
Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )
Area of shaded region = ( 800 ) - ( 226.08 )
Area of shaded region = 573.92 ft²
Therefore, the area is approximately 573.92 square feet.
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Which statements are true regarding the expression below? Choose three answers. 8 ^-1. 8 ^-3. 8
The statements that are true regarding the expression with the exponents -1, -3, and 1 are;
An equivalent expression is 8⁷·8⁻¹⁰The sum of the exponent is -3The value of the expression is 1/512What is an exponent?An exponent is a quantity or power to which a value, expression or number is to be raised.
The specified expression can be presented as follows;
8⁻¹ × 8⁻³ × 8
Therefore; 8⁻¹ × 8⁻³ × 8 = 8⁽⁻¹ ⁺ ⁻³ ⁺ ¹⁾ = 8⁻³ = 1/8³
The sum of the exponent is; -1 + (-3) + 1 = -31/8³ = 1/512
Therefore, the value of the expression is; 1/512Similarly, we get; 8⁷ × 8⁻¹⁰ = 8⁽⁷ ⁻ ¹⁰⁾ = 8⁻³ = 1/8³
Therefore, 8⁷ × 8⁻¹⁰ and 8⁻¹ × 8⁻³ × 8 are equivalent expressionsLearn more on exponents here: https://brainly.com/question/29831670
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According to the distributive property, 6(a + b) =
6(b + a)
6a + 6b
6a + b
(a + b) x 6
Which value is a solution to the inequality x 4
Answer:
0
Step-by-step explanation:
x < 4 means all numbers less than 4, excluding 4 itself.
4.5 > 4.
5 > 4.
so 0 is the solution
Answer:
4
Step-by-step explanation:
interval notation ( negative infinity, 4)
Karen's hair grew 2 inches in 5 months. How many inches would her hair grow in 1 year (change 1 year to number of months in 1 year)?
Answer:
30inches
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6. What is an equation of the line that passes
through the point (2, 4) and is perpendicular to
the line whose equation is y = 2x + 1?
Answer:
Using the slope-intercept form, the slope is 2 2 .
Step-by-step explanation:
The equation of a perpendicular line to y=2x+4 y = 2 x + 4 must have a slope that is the negative reciprocal of the original slope.
If the statement if I'm hungry, then I am not happy is assumed to be true is it's inverse of I am not hungry then I must be happy also always true
Answer:
yes!
Step-by-step explanation:
"i am not happy when hungry" is the inverse of "i am not hungry, i am happy."
Answer:
No
Step-by-step explanation:
5
4
3-
Mark this and return
N
-5-4-3-2-1₁.
24
1+
GAW N
y
+2+
-3
-4
1 2 3 4 5 x
What is the range of the function on the graph?
O all the real numbers
O
all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
O all the real numbers greater than or equal to -3
Save and Frit
The range of the function on the graph would be: D. all real numbers greater than or equal to 2
How to calculate the function rangeTo obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.
So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.
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Please awnser asap I will brainlist
Answer:
V = 180 (vans)
S = 90 (small trucks)
L = 40 (large trucks)
Step-by-step explanation:
Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.
Write the equations:
V + S + L = 310 (total number of vehicles)
V = 2S (twice as many vans as small trucks)
35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)
Substitute equation 2) into equation 1):
2S + S + L = 310
3S + L = 310
Simplify equation 3) by substituting V = 2S:
70,000S + 70,000S + 60,000L = 15,000,000
140,000S + 60,000L = 15,000,000
Set up a system of equations:
3S + L = 310
140,000S + 60,000L = 15,000,000
Eliminate L by multiplying equation 1) by 60,000:
60,000(3S + L) = 60,000(310)
180,000S + 60,000L = 18,600,000
Subtract equation 2) from the new equation:
(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000
40,000S = 3,600,000
Solve for S:
S = 90
Substitute the value of S into equation 1) to solve for L:
3(90) + L = 310
270 + L = 310
L = 40
Substitute the values of S and L into equation 2) to solve for V:
V = 2S
V = 2(90)
V = 180
The final answer is:
V = 180 (vans)
S = 90 (small trucks)
L = 40 (large trucks)
Answer:
180 Vans 90 Small trucks and 40 Large trucks
Step-by-step explanation:
For the following vectors, (a) find the dot product v•w ; (b) find the angle between v and w , (c) state whether the vectors are parallel, octagonal, or neither. V=-3i-4j, w=6i+8j
A- v•w
B-the angle between v and w is theta ^•?
C- the vectors v and w are?