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3 years ago

Which equation represents a proportional relationship? A = y = -3x + 2 B = y = -2x +4 C = y = 4x D = y = x + 7

Mathematics

1 answer:

Ratling [72]3 years ago

4 0

Answer:

Step-by-step explanation:

The equation of a proportional relationship:

$y=ax\to\dfrac{y}{x}=a=const.$

a - the constant of proportionality.

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Evaluate the expression when a=5.<br>a² - 17

jek_recluse [69]

Answer:

a²-17=8

Step-by-step explanation:

5²-17= 25-17

= 8

8 0

2 years ago

Read 2 more answers

Kaira's gross pay is $4,633. Her deductions total $1,009.13. What percent of hergross pay is take-home pay?Round to the nearest

Delvig [45]

Answer:

$\text{ 78\%}$

Explanation:

Here, we want to get the percentage of the gross pay is the take-home pay

Mathematically, we have to divide the take-home pay by the gross pay and multiply it by 100%

Her take-home pay is the difference between her gross pay and her deductions

We have this as:

$\text{ 4633 - 1009.13 = \$3,623.87}$

We have this as:

$\frac{3623.87}{4633}\text{ }\times\text{ 100 \% = 78\%}$

7 0

10 months ago

Which one is this answer if you are good a math

Alex73 [517]

$a=\dfrac{2d}{t^2}\ \ \ \ \ |\text{solve for t} \\ \\\\\dfrac{2d}{t^2}=\dfrac{a}{1}\ \ \ \ \ |\text{cross multiply}\\\\at^2=2d\ \ \ \ \ |:a\\\\t^2=\dfrac{2d}{a}\to t=\sqrt{\dfrac{2d}{a}}\\\\\text{We have}\\ \\a=2\dfrac{m}{s^2},\ d=10m\\\\\text{substitute}\\\\t=\sqrt{\dfrac{2\cdot10m}{2\frac{m}{s^2}}}=\sqrt{10m\cdot\dfrac{s^2}{m}}=\sqrt{10s^2}=\sqrt{10}\ s\\\\Answer:\ C.\ \sqrt{10}\ seconds$

4 0

2 years ago

Hello! Please help.

valina [46]

1 -

3 cups left.

David biked a total of 158 miles (option C)

Why?

- First exercise:

To solve the problem we need to consider that for each 1/2 cup of cornmeal, we will have 6 corn muffins.

So, calculating we have:

$TotalMuffins=24=4*6\\\\UsedCups=\frac{1}{2}*4=2Cups$

We can see that, if each 1/2 cups can give us 6 corn muffins, 2 cups can give us 24 corn muffins.

$CupsLeft=5cups-2cups=3cups$

Hence, there are 3 cups left.

- Second exercise:

We can solve the problem by multiplying or adding the fractions according to the number of dots assigned to each one.

So, calculating we have:

$FirstDay=10miles*2=20miles\\SecondDay=10\frac{1}{2}miles=10.5miles\\ThirdDay=11miles*3=33miles\\FourthDay=11\frac{1}{2}miles*4=11.5miles*4=46miles\\FifthDay=12miles*3=36miles\\SixthDay=12\frac{1}{2}miles=12.5miles$

$Total=20miles+10.5miles+33miles+46miles+36miles+12.5miles\\Total=158miles$

Hence, we have that David covered a total 158 miles. (Option C)

Have a nice day!

5 0

3 years ago

Read 2 more answers

It takes Matt 3 minutes to read one page in a book. If he continues to read at the same pace, he can read 15 similar pages in mi

elena-14-01-66 [18.8K]

Answer:

a)45min

b)900min

Step-by-step explanation:

We were told that it takes Matt 3 minutes to read one page in a book.

It implies that 3minutes = 1page of the book

Then he continues to read at the same pace, he can read 15 similar pages in minutes.

a)Then, he can read 15 similar pages in

15x3 minutes.which is 45minutes.

b)Then if the book has 300 pages, it will take him. 300×3 minutes to read it.which is 900mins

5 0

2 years ago