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Nimfa-mama [501]

2 years ago

7

the function M(x) -1/45x^2+2x-20 where 30 65 represents the miles per gallon used by a certain brand of car at a speed of x mile

s per gallon.

1 answer:

JulsSmile [24]2 years ago

3 0

The answer would be option B

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Gabrielle's age is two times Mikhail's age. The sum of their ages is 81. What is Mikhail's age?

Darya [45]

Answer:

27

Step-by-step explanation:

Let <em>g </em>be Gabrielle's age and <em>m </em>be Mikhail's age.

We can turn the statements the problem gives us into mathematical expressions to help us solve.

Gabrielle's age is two times Mikhail's age:

<em>g </em>= 2<em>m</em>

The sum of their ages is 81:

<em>g </em>+ <em>m </em>= 81

This gives us a system of equations that will allow us to solve for Gabrielle's age.

<em>g </em>+ <em>m </em>= 81

(2<em>m</em>)<em> </em>+ <em>m </em>= 81

3<em>m </em>= 81

<em>m</em> = $\frac{81}{3}$

<em>m </em>= 27

If we need to solve for Gabrielle's age, we can do the following.

<em>g </em>= 2<em>m</em>

2(27)<em> </em>= <em>g</em>

54 = <em>g</em>

g = 54

Mikhail's age is 27.

Gabrielle's age is 54.

8 0

2 years ago

Read 2 more answers

Can someone plsss help me with the 2 one

stepan [7]

Answer: $\sqrt{73}$ for number 7

Step-by-step explanation:

a²+b²=c²

3²+8²=c²

9+64=c²

$\sqrt{73}=\sqrt{c^2}\\\sqrt{73}=c$

8 0

2 years ago

A chef got 7 bags of onions. The red onions came in bags of 8 and the yellow onions came in bags of 3. If the chef got a total o

frutty [35]

Answer:

$\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3$

Step-by-step explanation:

Let $a$ be the number of bags with 8 onions and let $b$ be the number of bags with 3 onions. We have the following system of equations:

$\begin{cases}a+b=7,\\8a+3b=41\end{cases}$

Subtracting $b$ from both sides of the first equation, we get $a=7-b$ . Substitute this into the second equation:

$8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}$

Therefore, the number of 8-onion bags is:

$a=7-b,\\a=7-3,\\a=\boxed{4}$

Thus, the chef got 4 8-onion bags and 3 3-onion bags.

5 0

3 years ago

Find the LCM<br> of 9 and 27.

Mnenie [13.5K]

Answer:

27

Step-by-step explanation:

The answer is 27, because 9 x 3 = 27 and the smallest number that is the same is 27.

Hope this helps!

6 0

2 years ago

Read 2 more answers

Let n be a natural number. Show that 3 | n3 −n

Vladimir [108]

Let $n=1$ . Then $n^3-n=1^3-1=0$ . By convention, every non-zero integer $n$ divides 0, so $3\vert n^3-n$ .

Suppose this relation holds for $n=k$ , i.e. $3\vert k^3-k$ . We then hope to show it must also hold for $n=k+1$ .

You have

$(k+1)^3-(k+1)=(k^3+3k^2+3k+1)-(k+1)=(k^3-k)+3(k^2+k)$

We assumed that $3\vert k^3-k$ , and it's clear that $3\vert 3(k^2+k)$ because $3(k^2+k)$ is a multiple of 3. This means the remainder upon divides $(k+1)^3-(k+1)$ must be 0, and therefore the relation holds for $n=k+1$ . This proves the statement.

4 0

2 years ago