Tim is training for a marathon. He ran 24 miles in 5 days. If he ran the same distance each day, how far did he run per day?

Use the substitution method to determine the solution to the system of equations below. y-2x+2=1 6x - 3y = 3

vaieri [72.5K]

Answer:

y = 2x - 1

Step-by-step explanation:

y - 2x + 2 = 1

6x - 3y = 3

<u />

<u /> $y - 2x + 2 = 1 \\ +2x - 2 +2x - 2\\y = 2x - 1$

Plug in for y:

6x - 3(2x - 1) = 3

6x - 6x + 3 = 3

Simplified, 3 = 3

7 0

2 years ago

Read 2 more answers

James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They deposit $500 into the acc

katovenus [111]

Answer:

<h2>Option A is the answer(here the answer is calculated taking the whole value, without approximating it to a nearest value)</h2>

Step-by-step explanation:

Annual interest rate is 2.75%. Hence, the monthly interest rate is $\frac{2.75}{12}$

The amount will be compounded $(20\times12) = 240$ times.

Every month they deposits $500.

In the first month that deposited $500 will be compounded 240 times.

It will be $500\times [1 + \frac{2.75}{1200} ]^{240}$

In the second month $500 will be deposited again, this time it will be compounded 239 times.

It will give $500\times [1 + \frac{2.75}{1200} ]^{239}$

Hence, the total after 20 years will be $500\times [1 + \frac{2.75}{1200} ]^{240} + 500\times [1 + \frac{2.75}{1200} ]^{239} + ........+ 500\times [1 + \frac{2.75}{1200} ]^{1} = 160110.6741$

7 0

2 years ago

I need help with these two, can someone pls help me<br><br>I need this ASAP<br>no links pls

Anestetic [448]

5x+4+8x-3=79
13x=79-1
x=6
DBC=34
ABC=45

6x+20+2x+4 = 180
8x = 156
x=19.5
TQS=137
RQS=43

3 0

2 years ago

Which expression correctly simplifies (312415)56?

Andreyy89

Answer:

$\sf C)\quad \large\text{$\dfrac{3^{\frac{5}{12}}}{4^{\frac{1}{6}}}$}$

Step-by-step explanation:

Given expression:

$\large\text{$\left(\dfrac{3^{\frac{1}{2}}}{4^{\frac{1}{5}}}\right)^\frac{5}{6}$}$

$\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:$

$\large\text{$\implies \dfrac{\left(3^{\frac{1}{2}}\right)^\frac{5}{6}}{\left(4^{\frac{1}{5}}\right)^\frac{5}{6}}$}$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\large\text{$\implies \dfrac{3^{(\frac{1}{2}\times \frac{5}{6})}}{4^{(\frac{1}{5}\times \frac{5}{6})}}$}$

Simplify:

$\large\text{$\implies \dfrac{3^{\frac{5}{12}}}{4^{\frac{1}{6}}}$}$

Learn more about exponent rules here:

brainly.com/question/27745064

brainly.com/question/27959936

5 0

1 year ago

HELP ME PLZ!! I WILL GIVE U 10 POINTS!!

yanalaym [24]

That's a lot of questions. First, they're asking for how much each person pledged. Ivan said he would give $4.25, plus $1.25 per mile. As an expression, that would be 1.25m+4.25 . Vicky said that she would give $5.75, plus $.75 per mile, which would be .75m+5.75 . The second problem asks you to add the two, so add 1.25m and .75m to get the total amount she would earn per mile, which is $2. If I got paid $2 for every mile I biked, I would bike a marathon. Then add the flat payments of $4.25 and $5.75, and you get $10. So, the final equation would be 2m+10.

The last question is asking for you to find an equivalent proportional expression. To find this, you can just dividing by the greatest common factor of the two numbers. I got 2, so the equation would be 1m+5.

8 0

2 years ago