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2 years ago

9

Camila was out at a restaurant for dinner when the bill came. Her dinner came to $32. After adding in a tip, before tax, she pai

d $40. Find the percent tip.

1 answer:

Gnesinka [82]2 years ago

3 0

Answer:

25%

Cause 125%-100%=25%

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A telemarketer earns $150 a week plus $2 for each call that results in sale. Last week she earned a total of $204. How many of h

cluponka [151]

Answer:

27 calls

Step-by-step explanation:

Let T(x) represent total sales.

Then T(x) = $150 + ($2/call)x, where x is the number of calls made.

If T(x) = $204, we can solve for x, the number of calls made:

$204 = $150 + ($2/call)x, or

$ 54

----------- = 27 calls

$2/call

8 0

3 years ago

Twice the difference of a number and 9 is equal to three times the sum of the number and 6. Find the number

bezimeni [28]

After modelling the mathematical statement and solving its equivalent mathematical relation, we get x = -36.

<h3>What is Equation Modelling?</h3>

Equation modelling is the process of writing a given mathematical statement in the form of a numeric mathematical expression taking into considerations the operations, constants and other variables.

Given in the question is a number such that twice the difference of a number and 9 is equal to three times the sum of the number and 6.

Assume that the number is x. Now, we will model the equation and solve for x. According to the question, the following mathematical relation represents the statement-

2(x - 9) = 3(x + 6)

2x - 18 = 3x + 18

x = - 36

Therefore, the number is -36.

To solve more questions on Equation modelling, visit the link below-

brainly.com/question/13536824

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8 0

8 months ago

A map has a scale of 1 in: 25 mi. Two cities are 175 mi apart. How far apart are they on the map?

myrzilka [38]

Ratio = 1/25
Let, the distance b/w cities on map = x

It would be: 1/25 = x/175
x = 175/25
x = 7

In short, Your Answer would be 7 in

Hope this helps!

4 0

2 years ago

The equation h(t) = -16t² + 80t + 64 represented the height, in feet, of a potato t seconds after it has been launched.

Lyrx [107]

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

we have

$h(t)=-16t^2+80t+64$

where

h(t) is the height of a potato in feet

t is the time in seconds

Part A) Write an equation that can be solved to find when the potato hits the ground. Then solve the equation

we know that

When the potato hit the ground, the value of h(t) must be equal to zero

so

For h(t)=0

$-16t^2+80t+64=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+80t+64=0$

so

$a=-16\\b=80\\c=64$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(64)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{10,496}} {-32}$

$t=\frac{-80+\sqrt{10,496}} {-32}=-0.70$

$t=\frac{-80-\sqrt{10,496}} {-32}=5.70$

therefore

The potato hit the ground at t=5.70 seconds

Part B) Write an equation that can be solved to find when the potato is 40 feet off the ground. Then solve the equation

For h(t)=40 ft

substitute in the quadratic equation

$-16t^2+80t+64=40$

$-16t^2+80t+24=0$

Solve the quadratic equation

we have

$a=-16\\b=80\\c=24$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(24)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{7,936}} {-32}$

$t=\frac{-80+\sqrt{7,936}} {-32}=-0.28$

$t=\frac{-80-\sqrt{7,936}} {-32}=5.28$

therefore

The potato is 40 feet off the ground at the time t=5.28 seconds

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3 years ago

1. Kerry wants to paint her bedroom. The wall dimensions are 14 feet by 10 feet for

RideAnS [48]

Answer: 336 sq ft

Step-by-step explanation: what is it even asking?

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2 years ago