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sertanlavr [38]
3 years ago
11

A swimming pool has 30 gallons of water in it. Water was added to the pool at a rate of 5 gallons per second. Which equation mod

els the relationship between t, The number of gallons of water, and W, The number of seconds water is being added to the pool?
A. t = W + 35
B. t = 35W
C. t = 5W + 30
D. t = 30W + 5
Mathematics
1 answer:
ale4655 [162]3 years ago
3 0

Answer:

t=5W+30 or C

Step-by-step explanation:

The pool already has 30 in it so you would initially be adding it, not multiplying it to anything. Then since every second 5 gallons of water is being added to the pool, you add the 30 gallons the pool already contains to 5W.

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A graphic designer chose a base font size and represented it as 1 on the scale. he then listed some consecutive scale sizes. two
garik1379 [7]

Answer:

3.24

Step-by-step explanation:

You would use the two fonts given to find the scale factor.

So the scale factor would be 10.4976/5.832 = 1.8

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So

5.832/1.8 = 3.24

The font size just before 5832 is 3.24.

Hope this helps, if there is an error in my work please correct me.

4 0
3 years ago
Its a word problem. Jann just started a new job. For every 4 hours he works, Jann earns $60. What is the unit rate for how much
Pepsi [2]

Answer:

$15

Step-by-step explanation:

unit rate means how much he earns in 1 hour

so if he earns $60 in 4 hours

then you have to divide 60 by four

which gives you $15

that means he earn $15 in one hour

7 0
3 years ago
The sum of the measures of two complementary angles exceeds the difference of their measure by 86º. Find the measure of each ang
katrin2010 [14]
We will translate the given statement in the problem into 
x + y  = 90 
x - y =  90 - 86 = 4 where x and y are the angles that are complementary. solving simultaneously, x = 47 degreesy = 43 degrees. 
4 0
3 years ago
Use the augmented matrix method to solve the following system of equations. Your answers may be given as decimals or fractions.
Alexandra [31]

Answer:

x\ =\ \dfrac{21}{5}

y\ =\ \dfrac{3}{5}

z = 2

Step-by-step explanation:

Given equations are

x - 2y - z = 2

x + 3y - 2z = 4

-x + 2y + 3z = 2

from the given equations the augmented matrix can be written as

\left[\begin{array}{ccc}1&-2&-1:2\\1&3&-2:4\\-1&2&3:2\end{array}\right]

R_2=>R_2-R_1\ and\ R_3=>R_3+R_1

=\ \left[\begin{array}{ccc}1&-2&-1:2\\0&5&-1:2\\0&0&2:4\end{array}\right]

R_2=>\dfrac{R_2}{5}

=\ \left[\begin{array}{ccc}1&-2&-1:2\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\0&0&2:4\end{array}\right]

R_1=>R_1+2.R_2

=\ \left[\begin{array}{ccc}1&0&-1-\dfrac{2}{5}:2+\dfrac{4}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&2:4\end{array}\right]

=\ \left[\begin{array}{ccc}1&0&\dfrac{-7}{5}:\dfrac{14}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&2:4\end{array}\right]

R_3=>\dfrac{R_3}{2}

=\ \left[\begin{array}{ccc}1&0&\dfrac{-7}{5}:\dfrac{14}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&1:2\end{array}\right]

R_1=>R_1+\dfrac{7}{5}R_3\ and\ R_2+\dfrac{1}{5}R_3

=\ \left[\begin{array}{ccc}1&0&0:\dfrac{14}{5}+\dfrac{7}{5}\\\\0&1&0:\dfrac{2}{5}+\dfrac{1}{5}\\\\0&0&1:2\end{array}\right]

So, from the above augmented matrix, we can write

x\ =\ \dfrac{21}{5}

y\ =\ \dfrac{3}{5}

z = 2

7 0
3 years ago
Triangle DEF is a right triangle, and mD is 32. What is mF? A. 32 B. 45 C. 58 D. 68
drek231 [11]

Answer:

C. 58

Step-by-step explanation:

Right angle = 90 degrees

90 + 32 = 122

180 - 122 = 58 degrees for m∠F

5 0
3 years ago
Read 2 more answers
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