Both Todd and Zack earn the same salary. Todd spent $716 and Zack spent $128. Then Zack had 4 times the amount of money Todd had left. How much is their salary? Please tell me how and what your answer is?

Answers

Answer 1
Answer: They both earn the same salary.  Call it ' S '.

After Todd spent 716, he had (S - 716) left.

After Zack spent 128, he had (S - 128) left.

The question says that Zack has 4 times as much as Todd has, so

(S - 128) = 4 times (S - 716)

Eliminate parentheses on the right side:

S - 128 = 4S - 2,864

Subtract ' S ' from each side:

-128 = 3S - 2,864

Add 2,864 to each side:

2,736 = 3S

Divide each side by 3 :

912 = S
==========================

Check:
After Todd spends 716, he has (912 - 716) = 196 left.
After Zack spends 128, he has (912 - 128) = 784 left.
784/196 = exactly 4 times. 
yay !

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Solve this problem using estimation.Melissa bought 18 cupcakes and 2 gallons of fruit punch for her Valentine party. If the cupcakes cost $.33 each and the punch costs $2.78 a gallon, estimate the cost of the cupcakes.

Answers

If she bought 18 cupcakes at $0.33 each, and 2 gallons of punch at $2.78 each, then Melissa have spent $11.50 overall for the cupcakes.

Shiloh has to earn at least $200 to meet her fundraising goal. She has only 100 cakes that she plans to sell at 5 dollars each. Which inequality shows the number of cakes, x, Shiloh can sell to meet her goal?

Answers

Answer:

40 \leq x \leq 100

Step-by-step explanation:

Cost of 1 cake = $5

Let x be the no. of cakes

So, Cost of x cakes = 5x

Since we are given that Shiloh has to earn at least $200

So, 5x\geq 200

x\geq 40

So, the no. of the cakes should be sold more than or equal to 40

We are also given that She has only 100 cakes

So, the maximum number of cakes she can sold is 100 i.e.x\leq 100

So, Inequality becomes : 40 \leq x \leq 100

Hence inequality shows the number of cakes, x, Shiloh can sell to meet her goal is 40 \leq x \leq 100

she will only have to sell 40 cakes to earn $200

A small grill can hold two hamburgers at a time. If it takes 5 minutes to cook one side of a hamburger, what is the shortest time needed to cook both sides of five hamburgers?

Answers

If you were to grill two hamburgers at the same it would take 5 minutes to grill one side of 2 hamburgers and ten minutes to grill 2 ham burgers on both sides. So 10 minutes would make two hamburgers while 20 minutes will cook 4 hamburgers than add and extra 10 minutes to cook the last hamburger on both sides.
10 minutes = 2 both side cooked hamburgers

10 minutes = 2 both side cooked hamburgers

an extra 10 minutes = another both side cooked hamburgers since we only need five
=
30 minutes in minimal time to cook five hamburgers

A graph is constructed such that time (in seconds) is the x-variable and distance (in kilometers) is the y-variable. If you plot the distance that light travels at a speed of 300,000 kilometers, what is the slope of the graph?

Answers

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y=(1/60)x
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The answer is 300,000

given the equation of a circle x^2+y^2-10x+4y+13=0. find its center and radius. i am having trouble please help

Answers

x^2+y^2-10x+4y+13=0\n x^2-10x+25+y^2+4y+4-16=0\n (x-5)^2+(y+2)^2=16\n\n \hbox{center}=(5,-2)\n r=4

The figure below shows a trapezoid, ABCD, having side AB parallel to side DC. The diagonals AC and BD intersect at point O.If the length of AO is three times the length of CO, the length of BO is

one-third the length of AC

one-third the length of AB

three times the length of DO

three times the length of DC

Answers

Answer:

Length of BO is three times the length of DO.

Step-by-step explanation:

In trapezoid ABCD, CD\ ||\ AB

In ΔCDO and ΔABO,

  1. m\angle CDO=m\angle ABO (Alternate interior angles)
  2. m\angle DCO=m\angle BAO (Alternate interior angles)

So, \Delta CDO\sim \Delta ABO according to Angle-Angle similarity.

Therefore, the ratio of corresponding sides will be same.

\Rightarrow (OD)/(OB)=(OC)/(OA)

\Rightarrow (OD)/(OB)=(OC)/(3\cdot OC)

\Rightarrow (OD)/(OB)=(1)/(3)

\Rightarrow OB=3\cdot OD


BO is the same length as AO, and DO is the same length as CO. therefore BO is three times the length of DO.