One lap around a track is 1/4 mile. It takes Parker 1/20 hour to sprint
one lap. What is Parker's unit rate, in miles, around the track

Answer:

24 38%

25 17.04%

26 53%

Step-by-step explanation:

Q24

L = MN

M becomes 1.15M; N becomes 1.2N

L = (1.15M)(1.2N)

L = 1.38MN

L was MN; now L is 1.38MN

Answer: The percent increase in L is 38%

Q25

A = bh/2

A = 0.5ab

a becomes 1.33a; b becomes 0.88b

A = (1.33a)(0.88b)/2

A = 0.5852ab

The area increased from 0.5ab to 0.5852ab.

0.5852/0.5 = 1.1704

Answer: The percent increase in area is 17.04%

Q26

30% of members are male

70% of members are female

Male training for marathon: 60% of 30% = 18%

Female training for marathon: 50% of 70% = 35%

Total: 18% + 35% = 53%

Answer: 53%

SOLUTION

Given the question, the following are the solution steps to answer the question.

STEP 1: Write the given terms

STEP 2: Write the formula for calculating the area of the circle

STEP 3: Calculate the area of the circle

Hence, the area of the circle is 1575.5 units²

Answer:

2nd one is a

Step-by-step explanation:

Answer:The acceleration that an objects gains is given by the mass of the object.

If the acceleration of the object becomes 5 m/s² the force is 15 N.

Reason:

The given parameters are;

The acting force ∝ The acceleration of the object.

The acceleration given by an amount of force, F, of 18 N = 6 m/s²

Required:

The force acting on the object acceleration, a, is 5 m/s².

Solution:

According to Newton's Second Law of motion, we have;

F = m·a

Where;

m = The mass of the object

Therefore, we have;

From the conditions, F = 18 N, when a = 6 m/s², we have, the mass of the

given object is given as follows;

The force acting when the the acceleration, a = 5 m/s², is therefore;

F = 3 kg × 5 m/s² = 15 N

If the acceleration of the object becomes 5 m/s² the force is 15 N.

Step-by-step explanation:

The amount paid in tax based on the information is Rs 13500.

From the information given, the monthly salary is 45000. Therefore, the yearly salary will be:

= 45000 × 12

= 540000

Also, it's stated that the tax rate for first 450000 is 1% and next 100000 is 10%. Therefore, the amount that will be paid in tax will be:

= (450000 × 1%) + (90000 × 10%)

= 4500 + 9000

= 13500

Therefore, the amount paid in tax will be Rs 13500.

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The quadratic parent function, f(x) = x², represents the most basic form of a quadratic function.

f(x) = x² is called the "parent" or "standard" form because it serves as a template or starting point for other quadratic functions.

In this function, x represents the input or independent variable, and f(x) represents the output or dependent variable.

The function takes any real number as an input, squares it, and produces the corresponding output.

By modifying the quadratic parent function with additional terms or coefficients, we can create different variations of quadratic functions that result in shifts, stretches, or compressions of the parabola, as well as changes in its orientation or vertex position.

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The required image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

To find the image T of triangle ABC under the transformation (x,y) → (x-4, y+1), apply this transformation to each of the vertices of triangle ABC and then connect the new vertices to form the image T.

Let's assume that the coordinates of the vertices of triangle ABC are A(a,b), B(c,d), and C(e,f).

To find the image of vertex A under the transformation, we substitute x = a and y = b into the transformation equation:

(x,y) → (x-4, y+1)

(a,b) → (a-4, b+1)

Therefore, the image of vertex A is A'(a-4, b+1).

Similarly, we can find the images of vertices B and C:

B'(c-4, d+1)

C'(e-4, f+1)

Therefore, the image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

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The system of equations represented by the graph is:

y = x - 6

y + x = -2

And the solution is (2, -4), then the correct option is the first one.

On the graph, we can see a system of linear equations, we can see a line with a positive slope and a line with a negative slope.

The line with a positive slope intercepts the y-axis at y = -6, then that line is:

y = a*x - 6

with a > 0.

The other line passes through the y-axis at y = -2, then the linear equation is:

y = b*x - 2

Where b < 0.

Also, remember that the solution for the system of equations is the point where the two lines intersect, so we can see that the solution is at (2, -4)

The only option that meets all the criteria is the first option:

y = x - 6

x + y = -2

And the solution is (2, -4)

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Answer:

C

Step-by-step explanation:

the factor of x in the equation is the slope, which is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

going from the left point to the right point x changes by +3 units, and y changes by -1 unit.

so, the slope (and factor of x in the equation) is -1/3.

and the constant term in the equation is the y (axis) intercept of the line.

this is the y value, when x = 0 (intercepting the y axis).

and we see in the graph, when x = 0, the line goes through y = 2.

so, the equation has to be

y = -1/3 × x + 2

therefore, C is the right answer.

Answer:

There is no picture

Step-by-step explanation:

I wanted to help but i cant

Answer:Its D

Step-by-step explanation: (6, 34)

Answer:

25 extra litres

Step-by-step explanation:

Ratio 2:3

2+3=5 so 35/5 =7

7x2 means she used 14 litres of fruit juice

7x3 means she used 21 litres of lemonade

if she has 10 litres of fruit juice left then she can use 10/2=5 5x3=15 15 litres of lemonade

10+15=25 so she can make 25 extra litres

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer:

f(g(x))=12x+1

Step-by-step explanation:

f(g(x)) = -2(-6x+3)+7

f(g(x))= 12x-6+7

f(g(x))=12x+1

Domain: All real numbers

Answer:

26 degrees

Step-by-step explanation:

As, - 14 - 12= 14+12 = 26°

So the temperature increased by 26°

Answer:

HAHAHAHA

Step-by-step explanation:

Answer:

good work!

Step-by-step explanation:

10/15 is 3/4

3/4 is 75%

75% is a good scoring in a test

Answer:

X >= 7

Step-by-step explanation:

7x + 8 >= 57

7x >= 57-8

7x >= 49

x >= 49/7

x >= 7

Answer: -4.16

Step-by-step explanation:

100/25=4

-4 4/25=

-4 4*4/(25*4)=

-4 16/100= -4.16

Answer:

5.82

Step-by-step explanation:

multyply 2 x 2.91

the 2 folders are 5.82

Answer:

B

Step-by-step explanation:

if you cross-multiply the proportion in answer B you will get:

3x = 2(2.91)

3x = 5.82

x = 5.82÷3

x = 1.94

1.94 is the cost for 2 folders if 3 cost $2.91

Step-by-step explanation:

plz mark as brainlist////

Answer:

Easy! Abu solved 100 multiplication problems more than division problems

Step-by-step explanation: Just take 231 - 131 = 100 :D

Answer:

75%

Step-by-step explanation:

The exponential function giving the number of bacteria after x hours is given as follows:

\(y = 250(2)^x\)

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

a = 250, b = 2.

Hence the function is given as follows:

\(y = 250(2)^x\)

The problem asks for the exponential function giving the number of bacteria after x hours is given as follows:

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Answer:

\(7 \frac{1}{2}\)

hope this helps :))

Answer:

Her unit rate remained the same

Step-by-step explanation:

80 is twice as much as 40. 5 minutes is twice as long as 2 1/2 minutes. Her unit rate never changed.

Answer:

her unit rate remained the same

Step-by-step explanation:

Answer:

an = 63(-1/3)^(n-1)

Step-by-step explanation:

This is a geometric sequence with first term 63 and common ratio -1/3.

The equation for the nth term  is

an = 63(-1/3)^(n-1).

Answer:

The GCF (Greatest Common Factor) is the biggest factor common to both of these numbers, so we must determine the factors for each:

15--->1,15

         3,5

20--->1,20

         2,10

         4,5

As we can see, 1 and 5 are the common factors and 5 is the biggest (greatest). Therefore, we can "pull" out a 5 from both numbers and get a resulting equation of:

15 + 20--->5(3 + 4)

Hope this helps!

Step-by-step explanation: