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3 years ago

15

PLZ HELP WILL GIVE BRAINS :)

1 answer:

seropon [69]3 years ago

4 0

Answer: 36.4 miles per gallon!

Step-by-step explanation: To get your answer....divide the y (miles driven) by x (gallons used). Each divided gives you the answer of 36.4 which is the constant of proportionality between the number of miles driven and the number of gallons used.

For example: 691.6 divided by 19= 36.4

1528.8 divided by 42=36.4

1638 divided by 45=36.4

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Can some one tell me which is bigger 5/8 or 0.58.

quester [9]

I always find that decimals are easier to work with so 5/8 as a decimal is 0.625. So 0.625 compared to 0.58 is bigger, so 5/8 is bigger than 0.58. 15% = 0.15 and 1/5 = 0.2 So 1/5 is bigger than 15%

7 0

3 years ago

Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers?

lara [203]

Answer:

11 and 12

Step-by-step explanation:

x=smaller

y=larger

2y=3x-9 x+1=y

2(x+1)=3x-9

2x+2=3x-9

11=x

11+1=y

12=y

3 0

3 years ago

Can someone help me with math I need help I will attempt to give y’all help too!

xxMikexx [17]

Answer is 10
Scale factor is 2.5 (30/12)
So you have to do 4 multiplied by 2.5 to get x on the bigger shape.

3 0

2 years ago

Read 2 more answers

The first three terms of an arithmetic series are 6p+2, 4p²-10 and 4p+3 respectively. Find the possible values of p. Calculate t

Doss [256]

Answer:

First Case:

$\displaystyle p=\frac{5}{2}\text{ and } d=-2$

Second Case:

$\displaystyle p=-\frac{5}{4}\text{ and } d=\frac{7}{4}$

Step-by-step explanation:

We know that the first three terms of an arithmetic series are:

$6p+2, 4p^2-10, \text{ and } 4p+3$

Since this is an arithmetic sequence, each subsequent term is <em>d</em> more than the previous term, where <em>d</em> is our common difference.

Therefore, we can write the second term as;

$4p^2-10=(6p+2)+d$

And, likewise, for the third term:

$4p+3=(6p+2)+2d$

Let's solve for <em>d</em> for each of the equations.

Subtracting in the first equation yields:

$d=4p^2-6p-12$

And for the second equation:

$2d=-2p+1$

To avoid fractions, let's multiply the first equation by 2. Hence:

$2d=8p^2-12p-24$

Therefore:

$8p^2-12p-24=-2p+1$

Simplifying yields:

$8p^2-10p-25=0$

Solve for <em>p</em>. We can factor:

$8p^2+10p-20p-25=0$

Factor:

$2p(4p+5)-5(4p+5)=0$

Grouping:

$(2p-5)(4p+5)=0$

Zero Product Property:

$\displaystyle p_1=\frac{5}{2} \text{ or } p_2=-\frac{5}{4}$

Then, we can use the second equation to solve for <em>d</em>. So:

$2d_1=-2p_1+1$

Substituting:

$\begin{aligned} 2d_1&=-2(\frac{5}{2})+1 \\ 2d_1&=-5+1 \\ 2d_1&=-4 \\ d_1&=-2\end{aligned}$

So, for the first case, <em>p</em> is 5/2 and <em>d</em> is -2.

Likewise, for the second case:

$\begin{aligned} 2d_2&=-2(-\frac{5}{4})+1 \\ 2d_2&=\frac{5}{2}+1 \\ 2d_2&=\frac{7}{2} \\ d_2&=\frac{7}{4}\end{aligned}$

So, for the second case, <em>p </em>is -5/4, and <em>d</em> is 7/4.

By using the values, we can determine our series.

For Case 1, we will have:

17, 15, 13.

For Case 2, we will have:

-11/2, -15/4, -2.

8 0

3 years ago

Please I need an answer ASAP!!!!!!!!!!

sweet [91]

Measure of angle 1 is 62

3 0

3 years ago

Read 2 more answers