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3 years ago

In the inequality x>9, x represents the number of restaurants along a street. Is 9 a possible value of x Explain

1 answer:

6 0

No, because the inequality is saying that x is greater than x, therefore x can't be 9 because 9 is EQUAL to 9, not bigger.

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The difference of the squares of two consecutive odd integers is 24. find the integers

marysya [2.9K]

The two integers are 7 and 5, 7*7=49, 5*5=25, 49-25=24

3 0

3 years ago

A flower bed has the shape of a rectangle 21 feet long and 9 feet wide. What is its area in square yards?

Licemer1 [7]

21 times 9 which equals 189 feet and there are 3 feet in a yard so we do 189 divided by 3 which equals 63 so the answer is 63 square yards.

Brainlist please! :)

4 0

3 years ago

Read 2 more answers

Write the ratio 69:75 as a fraction, decimal,and a percent.

LekaFEV [45]

As a fraction, 69:75 would become 96/75
As a decimal 69:75 would become 0.92
As a percentage 69:75 would become 92%
Hope this helps :)

3 0

3 years ago

Read 2 more answers

Which could be the first step in simplifying this expression? Check all that apply. (x cubed x Superscript negative 6 Baseline)

PtichkaEL [24]

Answer:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

Step-by-step explanation:

$(x^{3} x^{-6} )^{2}$ is the expression given to be solved.

First of all let us have a look at 3 formulas:

$1.\ p^a \times p^b = p^{(a+b)}\\2.\ (p^a \times q^b)^c = (p^{a})^c \times (q^{b})^c\\3.\ (p^a)^b = p^{a\times b}$

Both the formula can be applied to the expression( $(x^{3} x^{-6} )^{2}$ ) during the first step while solving it.

Applying formula (1):

$(x^{3} x^{-6} )^{2}$

Comparing the terms of $(x^{3} x^{-6} )$ with $p^a \times p^b$

$p=x, a =3, b=-6$

$\Rightarrow x^{3+(-6)}\\\Rightarrow x^{3-6}\\\Rightarrow x^{-3}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $(x^{-3} )^{2}$

Applying formula (2):

Comparing the terms of $(x^{3} x^{-6} )^{2}$ with $(p^a \times q^b)^c$

$p=q=x, a =3, b=-6, c=2$

$\Rightarrow (x^{3})^2\times (x^{-6})^2\\\text{Applying Formula (3)}\\x^6 x^{-12}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $x^6 x^{-12}$ .

So, the answers can be:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

8 0

2 years ago

Question in photo!! Will mark Brainlyist

victus00 [196]

Answer:

Option B.

$a$

Step-by-step explanation:

Given:

-3( -x + a ) + 7 < 5 When x = -1

To Find:

a ?

Solution:

-3( -x + a ) + 7 < 5 When x = -1

Substitute x = -1 in above we get

-3(-(-1) + a ) + 7 < 5

-3(1 + a) < 5 - 7

Using Distributive Property we get i.e A(B+C) = AB + AC

$\therefore -3\times 1 +(-3)\times a$

7 0

3 years ago