1. To earn some extra money, Ben mows lawns for people in his neighborhood.​

He earns $18 per lawn and has saved $200 for the season. ​
Write an algebraic equation to represent this situation. ​
Use your equation to determine how much Ben will earn for 21 lawns.

2.Bubba is trying to gain weight. He eats a 400 calorie breakfast each day then eats snacks all day. Each snack is 120 calories. ​

​Write and solve an equation for the number of snacks eaten.​
Solve for if bubba consumes 3,160 calories today. ​

Answer:

The area is 90 sq. cm

Step-by-step explanation:

Given

The variation can be represented as:

[tex]A\ \alpha\ l * w[/tex]

Area = 60, when l = 4 and w = 3

Required

Find Area, when l = 6 and w = 3

Represent the variation as an equation

[tex]A = k(l * w)[/tex]

Where k is the constant of variation.

Substitute 60 for A, 4 for l and 3 for w

[tex]60 = k * (4 * 3)[/tex]

[tex]60 = k * 12[/tex]

Make k the subject

[tex]\frac{60}{12} = k[/tex]

[tex]5=k[/tex]

[tex]k=5[/tex]

To get the value of Area when l = 6 and w = 3.

Substitute 5 for k, 6 for l and 3 for w in [tex]A = k(l * w)[/tex]

[tex]A = 5 * 6 * 3[/tex]

[tex]A = 90[/tex]

The area is 90 sq. cm

Answer:

[tex]y =5(3)^x[/tex]

Step-by-step explanation:

Given

The attached table

Required

Determine the equation of the table

The table represents an exponential function. So, we make use of

[tex]y = ab^x[/tex]

When x = 0, y= 5.

So:

[tex]y = ab^x[/tex] becomes

[tex]5 = ab^0[/tex]

[tex]5 = a*1[/tex]

[tex]5 = a[/tex]

[tex]a = 5[/tex]

When x = 1; y = 15

So;

[tex]y = ab^x[/tex] becomes

[tex]15 = a * b^1[/tex]

[tex]15 = a * b[/tex]

Substitute 5 for a

[tex]15 = 5 * b[/tex]

Divide both sides by 5

[tex]\frac{15}{5} = \frac{5 * b}{5}[/tex]

[tex]3 = b[/tex]

[tex]b = 3[/tex]

Substitute values for a and b in: [tex]y = ab^x[/tex]

[tex]y =5(3)^x[/tex]

Answer:

7 weeks

Step-by-step explanation:

Answer:

7 weeks

Step-by-step explanation:

circumference = pi*d

70cm*pi = 219.8cm

219.8cm × 240 rev = 52752 cm

52752cm/100 = 528m

Answer:

67

Step-by-step explanation:

100 - 33 = 67

The difference between 100 and 33 is 67.

The answer is 67 if you go to your calculator app and do 67+33 it equals 100

Answer:

125.25

Step-by-step explanation:

5 cube =125

1/2=0.5

0.5 squared =0.25

125+0.25=125.25

Answer:

13 hours at Job B, and 17 hours at Job A.

Step-by-step explanation:

13×7.20= 93.60

17×5.90=100.30

100.30+93.60= 193.90

Answer:

[tex]Profit = SP - CP[/tex]

Step-by-step explanation:

Given

[tex]S.P = Selling\ Price[/tex]

[tex]C.P = Cost\ Price[/tex]

Required

Represent the profit, mathematically

The profit is the difference between SP and CP.

This is represented as:

[tex]Profit = SP - CP[/tex]

Answer:

x = 2

Step-by-step explanation:

4x - 2 = 22 - 8x

Move all variables to a single side by adding 8x to both sides of the equation.

4x + 8x - 2 = 22 - 8x + 8x

12x - 2 = 22

Add 2 to both sides to move the constants to one side.

12x - 2 + 2 = 22 + 2

12x = 24

Divide both sides by 12 to isolate the x.

12x / 12 = 24 / 12

x = 2

Answer:

x = 2

Step-by-step explanation:

Add 2 to both sides.

4x - 2 +2 = 22 - 8x + 2

Simplify.

4x=-8+24

Add 8x to both sides.

4x+8x= -8x + 24 + 8x

Simplify.

12x = 24

Divide both sides by 12.

12x/12 = 24/12

Simplfy.

x = 2

hope this helps! :)

Answer:

6774.075

Step-by-step explanation:

1984: 8855

1983: 8855*10/100=885.5

8855-885.5

7969.5

1982

7969.5*15/100=1195.425

7969.5-1195.425

6774.075

Answer:

-3,1

Step-by-step explanation:

When you are doing Systems Of Equations using a graph, the point where the lines intersect is your answer

Answer:

First and last

Step-by-step explanation:

Answer:15/16 > 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Domain - Set of x-values

Range - Set of y-values

3). Since, x values vary from x = -6 to x = 5,

    Domain of the graph = [-6, 5]

    Since, y-values vary from y = -2 to y = 3

    Range of the graph = [-2, 3]

4). Domain of the graph = [-3, 3]

    Range of the graph = [-6, 5]

5). Domain of the graph = (-∞, ∞)

    Range of the graph = (-∞, ∞)

6). Domain of the graph = (-∞, 4]

    Range of the graph = (-∞, ∞)

7). Domain of the graph = (-∞, ∞)

    Range of the graph = [-1, 5]

8) Domain of the graph = [-1, 5)

    Range of the graph = [-3, 3)

Answer:

Step-by-step explanation:

Answer:

The solution has infinitely many solutions.

Step-by-step explanation:

Correct option is - The solution has infinitely many solutions.

The expression is of the form -

ax + b = ax + b

In the expression , any value of x will satisfy

So, we get infinitely many solution

For example -

for x = 1

a(1) + b = a(1) + b

⇒ a + b = a + b

satisfied.

for x = 2

a(2) + b = a(2) + b

⇒ 2a + b = 2a + b

satisfied.

Hereon, for any value of x , it satisfies.

Answer:

a) The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]

b) The rate of increase after one day is of 0.0915.

Step-by-step explanation:

The brightness after t days is given by:

[tex]B(t) = 4.2 + 0.45\sin{(\frac{2\pi t}{4.4})} = 4.2 + 0.45\sin{(0.4545\pi t)}[/tex]

A) Find the rate of change of the brightness after t days.

This is [tex]B^{\prime}(t)[/tex]

The derivative of a constant is 0, the derivative of [tex]\sin{at}[/tex] is [tex]a\cos{at}[/tex]

So, in this case, we have that:

[tex]B^{\prime}(t) = 0.45*0.4545\pi\cos{(0.4545\pi t)} = 0.204525\pi\cos{(0.4545\pi t)}[/tex]

The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]

B) Find the rate of increase after one day.

This is [tex]B^{\prime}(1)[/tex]. So

[tex]B^{\prime}(1) = 0.204525\pi\cos{(0.4545\pi)} = 0.0915[/tex]

The rate of increase after one day is of 0.0915.

Answer: -6

Step-by-step explanation:

Answer:

B = - 6

Step-by-step explanation:

Multiply the numbers

[tex]-8=\frac{1}{2} (-4)+b\\-8=-2+b\\[/tex]

Rearrange terms

[tex]-8=-2+b\\-8=b-2[/tex]

Add 2 to both sides of the equation

[tex]-8=b-2\\-8+2=b-2+2[/tex]

Simplify

Add the numbers

Add the numbers

Move the variable to the left

[tex]b=-6[/tex]

Answer:

yes

Step-by-step explanation:

50 can be the initial money in the account and she can be depositing 45 dollars every (w) weeks and it will show her (S) savings

Answer:

Step-by-step explanation:

You can change radicals to fractional exponents and vice versa. The 1/2 power means square root. The 1/3 power means the cubed root. etc etc

A:) [tex](81)^\frac{1}{2} =\sqrt{81} =9[/tex]

B:) [tex](125)^\frac{1}{3} =\sqrt[3]{125} =5[/tex]

C:) [tex](49)^\frac{3}{2}=\sqrt{(49)^3} =343[/tex]

D:) [tex](8)^\frac{5}{3}=\sqrt[3]{(8)^5}=32[/tex]

Answer

IM not too sure

Step-by-step explanation:

Not too sure sorry kid

Answer:

25 and 10 are the numbers

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Given that,

[tex]x=\sqrt[3]{27}[/tex]

We need to show work to solve it.

We know that,

27 = 3×3×3

or

27 = (3³)

So,

[tex]x=\sqrt[3]{3\times 3\times 3}\\\\=(3^3)^{\dfrac{1}{3}}\\\\x=3[/tex]

Hence, this is the required solution.

Answer:

Test scores will increase because the graph shows a positive association.

Step-by-step explanation:

Since it is going upwards to the right instead of going downwards and for the people who steady more hours they get better scores on there test.

btw i just took it and got it right

From given scatter plot, if the number of hours they study increases then the test scores will increase because the graph shows a positive association.

"A type of data representation that shows the relationship between two numerical variables. "

"When the values of one variable tend to increase as the values of the other variable increase, then two variable have positive association."

"When the values of one variable tend to decrease as the values of the other variable increase, then two variable have negative association."

For given question,

The scatter plot shows the test scores of a group of students who studied for different amounts of time in a week.

A scatter plot shows Hours Spent Studying on x axis and Test Score on y axis .

Also we have been given the ordered pairs

(0, 21), (0.8, 32), (1.2, 35),  (1.5, 39), (2.1, 42), (2.3, 45) and (2.5, 49) and   (2.7, 50) and (3, 67) and (4.6, 56) and (5, 69) and (5.3, 70) and (5.7, 74) and (6.4, 78) and (7.2, 80) and (7.5, 84) and (8.5, 88) and (8.7, 92) and (9.5, 96)

From the given data points of scatter plot,

as x - value increases, y - value also increases.

This means,  if the number of hours they study increases, the test scores will increase.

Here, the values of one variable tend to increase as the values of the other variable increase.

This means, there is positive association in variables Hours Spent Studying and Test Scores.

Therefore, from given scatter plot, if the number of hours they study increases then the test scores will increase because the graph shows a positive association.

Learn more about the positive association here:

https://brainly.com/question/858660

#SPJ2

Answer:

boop

Step-by-step explanation:

Answer:6.12

Step-by-step explanation:

got the answer right

Answer:

on khan the answer is 6.12

Answer:

90/100

Step-by-step explanation:

both equal 0.9

Answer:

[tex]\frac{90}{100\\}[/tex]

Step-by-step explanation:

[tex]\frac{9}{10}[/tex] equals [tex]\frac{90}{100\\}[/tex]

By multiplying the numerator and denominator of [tex]\frac{9}{10}[/tex] by 10, we get [tex]\frac{90}{100\\}[/tex] .

9 x 10 = 90

10 x 10 = 100