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3 years ago

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Ms. Day went shopping last week and spent a total of $120. Blankets cost her $16 while pillows cost her $10. Altogether, she bou

ght 9 items. How many of each item did Ms. Day end up buying?

1 answer:

Crazy boy [7]3 years ago

4 0

Answer:

Ms. Day bought 5 blankets and 4 pillows.

Step-by-step explanation:

Let $x$ denotes number of blankets and $y$ denotes number of pillows.

Blankets cost her $16 while pillows cost her $10 and Ms. Day spent a total of $120.

$16x+10y=120$

Divide this equation by 2.

$8x+5y=60\,\,...(i)$

Ms. Day bought 9 items.

$x+y=9$

Multiply this equation by 5.

$5x+5y=45\,\,...(ii)$

Subtract $(ii)$ from $(i)$

$3x=15\\x=5$

Put $x=5$ in $x+y=9$

$5+y=9\\y=9-5\\y=4$

Therefore,

Ms. Day bought 5 blankets and 4 pillows.

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3 years ago

Eight friends share 4 bunches of grapes equally. What fraction of a bunch of grapes does each friend get?

vekshin1

You just divide 4 by 8, which equals 1/2

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4 years ago

Read 2 more answers

Wang Yong owes the bank

dusya [7]

Given:

Wang Yong owes the bank $8500. He pays back a fixed amount each month. After 12 months, he still has to pay off $6460.

To Find:

The amount of money he pays the bank every month and how long it will take him to pay off the full debt.

Answer:

Wang Yong pays $170 each month, and doing so, it will take him a total time of 50 months to pay off the full debt.

Step-by-step explanation:

Wang Yong has borrows $8500 according to the question.

Say he pays the bank an amount of x every month, which is fixed. After 12 months, he still has to pay $6460.

In 12 months, he would have paid the bank 12x.

But $6460 is still left out of the original $8500.

This means,

$8500-12x=6460\\\\12x=8500-6460\\\\12x=2040\\\\x=170$

That is, Wang Yong pays the bank $170 every month.

Next, to calculate the amount of time it took Wang Yong to pay back his whole debt, we divide the total sum of money owed to the bank by the amount Wang Yong pays each month.

So, number of months = 8500 ÷ 170 = 50

That is, Wang Yong will pay off his debt 50 months after borrowing the money from the bank, provided he pays back $170 every month.

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3 years ago

This question has three parts. Answer the parts in order.

nalin [4]

Answer:

The area of the smallest section is $A_{1}=100yd^{2}$

The area of the largest section is $A_{2}=625yd^{2}$

The area of the remaining section is $A_{3}=250yd^{2}$

Step-by-step explanation:

Please see the picture below.

1. First we are going to name the side of the larger square as x.

As the third section shares a side with the larger square and the four sides of a square are equal, we have the following:

- Area of the first section:

$A_{1}=10yd*10yd$

$A_{1}=100yd^{2}$

- Area of the second section:

$A_{2}=x^{2}$ (Eq.1)

- Area of the third section:

$A_{3}=width*length$

$A_{3}=10yd*x$ (Eq.2)

2. The problem says that the total area of the enclosed field is 975 square yards, and looking at the picture below, we have:

$A_{1}+A_{2}+A_{3}=975yd^{2}$

Replacing values:

$100+x^{2}+10x=975$

Solving for x:

$x^{2}+10x-875=0$

$x=\frac{-10+\sqrt{100+(4*875)}}{2}$

$x=\frac{-10+\sqrt{3600}}{2}$

$x=\frac{-10+60}{2}$

$x=25$

3. Replacing the value of x in Eq.1 and Eq.2:

- From Eq.1:

$A_{2}=25^{2}$

$A_{2}=625yd^{2}$

- From Eq.2:

$A_{3}=10*25$

$A_{3}=250yd^{2}$

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3 years ago

What does the point (1994, 400) on the graph represent?

yuradex [85]

Answer: There are 400 tadpoles in the year 1994.

This is because any point is of the form (x,y) where in this case

x = year number

y = tadpole population number

So (x,y) = (1994, 400) means x = 1994 and y = 400 pair up together.

In short, the year x = 1994 corresponds to the population of y = 400 tadpoles.

From the years 1990 to 1992, the population is increasing since the curve goes upward when moving from left to right. Then from 1992 to 1993, the population decreases hitting its lowest point in that specific region. From 1993 to 1997, the population increases before it decreases again from 1997 to 1999.

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3 years ago