What would be the original cost? $99.50?

Monica's credit card statement shows she onwed $250 she made a payment of $200 then she charged for $38 for gasoline she returne

Aleonysh [2.5K]

Answer:

73

Step-by-step explanation:

250 - 200 + 38 - 15 = 73

4 0

2 years ago

At a store customers are randomly selected to participate in the survey on Friday there were 500 customers at the store. of thos

Artemon [7]

The probability is 90/500 =18%

700*18%= 700 *18/100 = 126

126 customers will be selected to participate in the survey on Saturday

8 0

4 years ago

A piece of land is shaped like a right triangle. Two people start at the right angle at the same time, and walk at the same spee

sweet [91]

Answer:

1 m/s

Step-by-step explanation:

the area of the triangle = A = ¹/₂ab

where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²

now we find the derivative of both sides:

dA/dt = ¹/₂ ⋅ dx²/dt

dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt

dA/dt = x ⋅ dx/dt = x ⋅ velocity

we are told that x = 5 m, and dA/dt = 5 m²/s

velocity = dA/dt / x

velocity = 5 m²/s / 5 m = 1 m/s

7 0

3 years ago

Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.20.20, point, 2 kilograms of yarn and each sc

Rashid [163]

Answer:

The system of equation that represent this situations are;

$\left \{ {{h+s=15} \atop {0.2h+0.1s=2}} \right.$

Also 5 hats and 10 scarves can be prepared from 2 kg of yarn.

Step-by-step explanation:

Let number of hat Chevy makes be h.

Also Let number of scarves Chevy makes be s.

Given:

Total Amount of yarns = 2 kg

Total number of items = 15

Since Items need to make are hat and scarves.

Hence the equation can be represented as;

$h+s=15 \ \ \ \ equation \ 1$

Again Given:

Each hat uses 0.2 kilograms of yarn.

each scarf uses 0.1 kilograms of yarn.

Hence the equation can be represented as;

$0.2h+0.1s=2 \ \ \ \ \ equation \ 2$

Hence the system of equation that represent this situations are;

$\left \{ {{h+s=15} \atop {0.2h+0.1s=2}} \right.$

Now Solving these to find number of hats and number of scarves.

Multiplying equation 2 with 10 we get;

$10(0.2h+0.1s)=2\times 10\\10\times0.2h+10\times0.1s=20\\2h+s =20 \ \ \ \ \ equation \ 3$

Now Subtracting equation 1 from equation 3 we get;

$(2h+s)- (h+s) =20-15\\2h+s-h-s=5\\h= 5$

Now Substituting the value of h in equation 1 we get;

$h+s= 15\\5+s =15\\s=15-5\\s=10$

Hence 5 hats and 10 scarves can be prepared from 2 kg of yarn.

5 0

3 years ago

Two teachers purchase supplies for their classrooms.

inna [77]

Answer:

Cost of One Journal = $3.99

Cost of One pen = $0.59

Step-by-step explanation:

Let

Cost of One Journal = x

Cost of One pen = y

We can make equation from given statements.

Mr. Bowden purchases 18 journals and 40 pencils for $95.42.

$18x+40y=95.42$

Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

$11x+16y=53.33$

Now solving these equations to find the value of x

$18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)$

Multiply eq(1) with 2 and eq(2) with 5

$36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\$

We get the value of x is: x=3.99

Now, putting value of x in equation 1 to find value of y.

$18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59$

So, we get the value of y: y = 0.59

Now, finding the costs:

Cost of One Journal = x = $3.99

Cost of One pen = y = $0.59

7 0

3 years ago