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forsale [732]
3 years ago
13

The price of 2 pears and 6 apples is $14. the price of 3 pears and 9 apples is $21. find the price for one pear and one apple

Mathematics
1 answer:
Romashka [77]3 years ago
8 0
7 dollars

if 2 pears and 6 apples is 14
and 3 and 9 is 21

2x7 is 14
3x7 is 21
it's like your doubling the amount each time you add...

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You earned an 82% on a math test. You answered 18 questions correctly.How many questions were on the test
Nadya [2.5K]

Answer:

22

Step-by-step explanation:

The easiest way to do this is to multiply the number you got right by 1+ the percent you got wrong. In this case it would be 1+.18. If you multiply 18 by 1.18 you get 21.24. Because you cant have part of a question you need to round up. To check you can divide 18 by 22 and you get 81.81. I hope this helps!

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4 0
3 years ago
Which of the following is an example of the difference of two squares
True [87]

Complete Question: Which of the following is an example of the difference of two​ squares?

A x² − 9

B x³ − 9

C (x + 9)²

D (x − 9)²

Answer:

A. x^2 - 9.

Step-by-step explanation:

An easy way to spot an expression that is a difference of two squares is to note that the first term and the second term in the expression are both perfect squares. Both terms usually have the negative sign between them.

Thus, difference of two squares takes the following form: a^2 - b^2 = (a + b)(a - b).

a² and b² are perfect squares. Expanding (a + b)(a - b) will give us a^2 - b^2.

Therefore, an example of the difference of two squares, from the given options, is x^2 - 9.

x^2 - 9 can be factorised as x^2 - 3^2 = (x + 3)(x - 3).

8 0
3 years ago
Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27,
Tanya [424]

Answer:

A, B and C

Step-by-step explanation:

In the equation: 3y=27x

Making y the subject of the equation, we have:

y=\frac{27}{3}x\\y=9x

The constant of proportionality between y and x  is 9.

We want to determine which relationships have the same constant of proportionality 9.

<u>Option A</u>

y=9x

The constant of proportionality is 9.

<u>Option B</u>

2y=18x

Divide both sides by 2 to obtain: y=9x

The constant of proportionality is 9.

<u>Option C</u>

x=3, y=1/3

Substitution into y=kx gives:

1/3=3k

k=9

The constant of proportionality is 9.

<u>Option D</u>

x=6, y=2/3

Substitution into y=kx gives:

2/3=6k

k=2/3*6=4

The constant of proportionality is 4.

<u>Option E</u>

When x=2, y=18

Substitution into y=kx gives:

18=2k

k=9

However, when x=4, y=27

Substitution into y=kx gives:

27=4k

k=6.75

This is not a proportional relation since the constant of proportionality is not equal.

The correct options are A, B and C

4 0
3 years ago
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