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2 years ago

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Your gas tank can hold no more than 14.5 gallons of gasoline On atrip to the grocery store ,you use 1.5 gallons of gas. Write an

d solve an inequality that repersents the amount of gas left in ur tank. PLEASE HELPPPppp

1 answer:

iVinArrow [24]2 years ago

7 0

1.5 is less then or equal to x which is less then or equal to 14.5

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NEED HELP WITH THESE QUESTIONS

amm1812

For this case we must solve the following questions:

Question 1:

We should simplify the following expression:

$\frac {\frac {m ^ 2 * n ^ 3} {p ^ 3}} {\frac {mp} {n ^ 2}} =$

Applying double C we have:

$\frac {m ^ 2 * n ^ 3 * n ^ 2} {mp * p ^ 3} =$

By definition of multiplication of powers of the same base we have to place the same base and add the exponents: $\frac {m ^ 2 * n ^ 5} {m * p ^ 4} =$

Canceling common terms:

$\frac {mn ^ 5} {p ^ 4}$

Answer:

Option A

Question 2:

We should simplify the following expression:

$\frac {3xyz ^ 2} {6y ^ 4} * \frac {2y} {xz ^ 4}$

So, we have:

$\frac {3xyz ^ 2 * 2y} {6y ^ 4 * xz ^ 4} =\\\frac {6xy ^ 2z ^ 2} {6y ^ 4xz ^ 4} =$

Simplifying common terms:

$\frac {1} {y ^ 2z ^ 2}$

Answer:

Option D

Question 3:

We factor the following expressions to rewrite the experience:

<em> $r ^ 2 + 7r + 10$ : </em>We look for two numbers that multiplied give 10 and added 7:

$(r + 5) (r + 2)$

<em> $r ^ 2-5r-50:$ </em> We look for two numbers that multiplied give -50 and added -5:

$(r-10) (r + 5)$

<em> $3r-30 = 3 (r-10)$ </em>

Rewriting the given expression we have:

$\frac {(r + 5) (r + 2) * 3 (r-10)} {3 (r-10) (r + 5)} =$

We simplify common terms in the numerator and denominator we have:

$(r + 2)$

Answer:

Option D

4 0

3 years ago

Read 2 more answers

Estimate 1.3 - (-2.5)

Helen [10]

Answer:

3.8

Step-by-step explanation:

8 0

3 years ago

How does the graph of g(x) = -(x + 3)4 compare to the parent function of f(x) = xº?

AnnyKZ [126]

Answer:

g(x) is shifted 3 units to the left and reflected over the x-axis.

Step-by-step explanation:

8 0

3 years ago

Solve my question please, I’ll mark u as brainlest if the answer is correct and if you solved my question!!!

ikadub [295]

Answer:

x = price of balcony tickets = $7

y = price of orchestra tickets = $21

Step-by-step explanation:

Let

x = price of balcony tickets

y = price of orchestra tickets

y = 3x (1)

148y + 76x = 3,640 (2)

Substitute y = 3x into (2)

148y + 76x = 3,640 (2)

148(3x) + 76x = 3,640

444x + 76x = 3,640

520x = 3,640

x = 3,640/520

x = 7

Substitute x = 7 into (1)

y = 3x (1)

y = 3(7)

y = 21

x = price of balcony tickets = $7

y = price of orchestra tickets = $21

3 0

2 years ago

3600 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the

Mnenie [13.5K]

Assuming the interest is simple interest, as opposed to compound interest,

$\bf ~~~~~~ \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$3600\\
r=rate\to 9\%\to \frac{9}{100}\to &0.09\\
t=years\to &25
\end{cases}
\\\\\\
A=3600(1+0.09\cdot 25)\implies 3600(3.25)$

3 0

3 years ago