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Alborosie
3 years ago
10

Evaluate x/y for x=2/3 and y=6/7a:7/8b:8/21c:8/10d:12/21

Mathematics
1 answer:
Mandarinka [93]3 years ago
8 0
<span>dividing fractions turns into multiplication with the inverse of the second fraction. which leaves you with 2/3 * 7/6ths which is 14/18 which is divisible by 2 = 7/9</span>
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A realtor is decorating some homes for sale, putting a certain number of decorative pillows on each twin bed and a certain numbe
VikaD [51]

The number of decorative pillows did the realtor arrange on each twin bed and queen bed is 6 and 9 respectively.

<h3>Simultaneous equation</h3>

let

  • Number of decorative pillows for twin bed = x
  • Number of decorative pillows for queen bed = y

x + y = 15

2x + y = 21

From equation (1)

x = 15 - y

  • Substitute x = 15 - y into (2)

2x + y = 21

2(15 - y) + y = 21

30 - 2y + y = 21

- 2y + y = 21 - 30

-y = -9

y = 9

Substitute y = 9 into

x + y = 15

x + 9 = 15

x = 15 - 9

x = 6

Learn more about simultaneous equation:

brainly.com/question/16863577

#SPJ1

7 0
1 year ago
There are 50 cupcakes and 160 cookies to be sold at the school bake sale. What is the greatest number of packages of baked items
Sav [38]

The greatest number of packages of baked items that can be sold is 10

<em><u>Solution:</u></em>

Given that there are 50 cupcakes and 160 cookies to be sold at the school bake sale

To find: greatest number of packages of baked items that can be sold

Each package has the same number of cupcakes and same number of cookies with none left over

So, we have to find the greatest common factor of 50 and 160

The greatest number that is a factor of two (or more) other numbers.

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

<em><u>Greatest common factor of 50 and 160:</u></em>

The factors of 50 are: 1, 2, 5, 10, 25, 50

The factors of 160 are: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Then the greatest common factor is 10

So the greatest number of packages sold is 10

<em><u>Each package will contain:</u></em>

Given that there 50 cupcakes and 160 cookies

<em><u>Number of cupcakes in 1 package:</u></em>

\rightarrow \frac{50}{10} = 5

<u><em>Number of cookies in 1 package:</em></u>

\rightarrow \frac{160}{10} = 16

So each package has the same number of cupcakes and same number of cookies with none left over

7 0
3 years ago
A painting contractor paints with a brush at a rate of 192 square feet per hour. using a paint sprayer, she is able to cover 576
lara31 [8.8K]

Hi there,

2400 + 1632 = 4032

3 * 192 = 576

4032 - 576 =>

3532 - 76 =>

3532 + 24 - 76 - 24

3556 - 100

3456


3456 / 576 => 6

Therefore, 6 hours of sprayer work

Hope this helps!

Sincerely,

Dus4nR

5 0
3 years ago
What is the slope of the line below?
g100num [7]

Answer:

D. Negative.

Step-by-step explanation:

In truth, when given the graph you don't really need to use the points, but if needed it you would use the formula:

y-y₁=m(x-x₁)

Plug in your information and solve.

-1 - 5 = m (2 - (-1))

-6 = m (3)

-6 = 3m

m = -6 / 3

m = -2

(m = slope)

Also, when shown on the graph =

If the slope is going:

up from left to right: it's positive

down from left to right: it's negative

straight up and down (vertical): it's undefined

straight left to right (horizontal): it's zero.

8 0
3 years ago
Describe the steps you would take to solve the
ikadub [295]

Answer:

32.5

Step-by-step explanation:

d

4 0
3 years ago
Read 2 more answers
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