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joja [24]
3 years ago
15

FREE BRAINLIEST!!!!!!

Mathematics
1 answer:
vivado [14]3 years ago
7 0

Let's solve the first inequality at first. So,

−2(x + 4) + 10 < x − 7

-2x- 8 + 10 < x - 7 By distribution property.

-2x + 2 < x - 7 Adding the like terms.

-2x < x - 7 - 2 Subtract 2 from each sides.

-2x < x - 9 By simplifying.

-2x - x < -9 Subtract x from each sides.

-3x < -9

-\frac{3x}{3}

Since we are dividing by negative 3. So, sign of inequality will get change.

So, x>3

Now the next inequality is,

−2x + 9 > 3(x + 8)

-2x + 9 > 3x + 24

-2x > 3x + 24 - 9

-2x > 3x + 15

-2x - 3x > 15

-5x >15

-\frac{5x}{-5} >\frac{15}{-5}

So, x <-3

Hence, the correct choice is x > 3 or x < −3.

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a circle of radius 12 inches

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now we know that ,

\\{Area \: of \: sector =  \frac{\theta}{360\degree}  \times \pi \: r {}^{2} } \\  \\

let's now plug in the values of radius and theta as 12 inches and 45° respectively ,

\\\dashrightarrow \:  \frac{45}{360}  \times  \frac{22}{7}  \times 12 \times 12 \\  \\ \dashrightarrow \:  \frac{1}{8}  \times  \frac{22 \times 12 \times 12}{7}  \\  \\ \dashrightarrow \:  \frac{22 \times 12 \times 12}{56}  \\  \\ \dashrightarrow \:  \frac{3168}{56}  \\  \\ \dashrightarrow \: 56.57 \: inches {}^{2} (approx.)

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6 0
3 years ago
Leah loves chicken wings and is comparing the deals at three different restaurants. Buffalo Bills has 88 wings for \$7$7. Buffal
Ksivusya [100]

Answer:

Buffalo mild wings offers the lowest price per wing ($0.83).

Step-by-step explanation:  

Let us find unit price per buffalo wing of each restaurant.

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\text{Unit rate for buffalo bills}=\frac{\$0.875}{\text{ wing}}

Upon rounding our answer to nearest cent we will get,

\text{Unit rate for buffalo bills}=\frac{\$0.88}{\text{ wing}}

Therefore, buffalo bills offers each wing for $0.88.

\text{Unit rate for buffalo mild wings}=\frac{\$10}{12\text{ wings}}

\text{Unit rate for buffalo mild wings}=\frac{\$0.83333}{\text{ wing}}

Upon rounding our answer to nearest cent we will get,  

\text{Unit rate for buffalo mild wings}=\frac{\$0.83}{\text{ wing}}

Therefore, buffalo mild wings offers each wing for $0.83.

\text{Unit rate for wingers}=\frac{\$17}{20\text{ wings}}

\text{Unit rate for wingers}=\frac{\$0.85}{\text{ wing}}

Therefore, wingers offers each wing for $0.85.

We can see that buffalo mild wings offers the lowest price per wing that is $0.83 per wing.

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irinina [24]

Answer: 2 1/2

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