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3 years ago

Write a real-world word problem in which the unit rate is 6 miles per hour

Mathematics

1 answer:

ollegr [7]3 years ago

7 0

bob was driving in the highway, there was traffic and could only go 6mph

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If m<1=6x+50 and m<2=4x+40 find x

Pepsi [2]

$\text{Adjacent angles on a straight line sum up to 180} \textdegree$

$\text{Therefore }\measuredangle 1 + \measuredangle 2 = 180 \textdegree$

$\text {Since } \measuredangle 1 = 6x+50 \text { and } \measuredangle 2 = x+40$

$(6x+50) + (4x+40) = 180$

$6x+50 + 4x+40 = 180$

$10x+90 = 180$

$10x = 180 - 90$

$10x = 90$

$x = 9$

Answer: x = 9

8 0

3 years ago

Factor −1/9 out of −1/9x−3.

Zanzabum

Answer:

-1/9 (x+27)

Step-by-step explanation:

Divide the whole expression by -1/9.

-1/9x becomes x

-3 becomes + 27

3 0

3 years ago

Simplify 5(a - <br> b. 6(a <br> b. - 7(a - 2b)

Elan Coil [88]

Not sure what you're asking. are you wanting to solve 5 ( a - b), where b equals those two things listed below? If that's the case, I can definitely help. If not, please clarify.

6 0

3 years ago

Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total

AveGali [126]

Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:

$x+450$

To calculate the total interest we need to calculate the interest of each individual account and sum them:

$\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}$

The total interest is the sum of the two expressions above:

$\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}$

The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.

7 0

1 year ago

How do you subtract<br> -6 - (-7)? <br> Can you explain it step by step too? Thanks!

djverab [1.8K]

$\bf -6-(-7)\implies -6-1(-7)\implies -6-1\cdot -7\implies -6+(-1\cdot -7)
\\\\\\
-6+(+7)\implies -6+7\implies 1$

3 0

3 years ago