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Vinil7 [7]
3 years ago
9

Make m the subject of the formula

title="s = \frac{hm}{4} " alt="s = \frac{hm}{4} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
juin [17]3 years ago
4 0
S = hm / 4

4s = hm

4s / h = m

So, m = 4s/h
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What's the equation of the parabola that has its vertex at (4,–1) and a y-intercept at (0,7)?
xz_007 [3.2K]

Answer:

C

because it is given that the vertex is (4, - 1) an an equation C it is clearly seen that the vertex is same.

8 0
3 years ago
Paul drinks 6 cups of coffee each day. Each cup contains 275 milliliters of coffee. How
scZoUnD [109]
<h3>Answer:  11.55 liters</h3>

=================================================

Work Shown:

275 mL = 275/1000 = 0.275 L

1 cup = 0.275 L

6 cups = 6*0.275 L = 1.65 L

He drinks 1.65 L per day, so over 7 days he drinks a total of 7*1.65 = 11.55 liters.

5 0
3 years ago
Read 2 more answers
On Chris's birthday in 1992, he was half the age of his brother Joseph. On Chris' birthday in 1998, he was two-thirds the age of
aev [14]
Suppose in 1992 Chris was x years old, his brother was then 2x years old.
6 years later in 1998, Chris is (x+6) years old, his brother is (2x+6), 
(x+6)=(2/3)(2x+6)
x+6=(4/3)x+4
(4/3)x-x=6-4
(1/3)x=3
x=6
in 1992, Chris was 6, so in 2018 he will be 6+(2018-1992)=32 years old. 
7 0
3 years ago
Show steps for 5-x÷3=-7
Alla [95]

5-x÷3=-7

Add 3 to both sides of the equation.

5x=3+7

Divide each term by 5 and simplify.

Divide each term in 5x=10 by 5

5x/5=10/5

Reduce the expression by cancelling the common factors.

x= 10/5

Divide 10 by 5

Answer <em>x </em>=2


4 0
3 years ago
Riley is packing 144 pencils, 120 files, and 108 notebooks into as many boxes as possible. Find the greatest number of boxes tha
Vaselesa [24]

Answer:

<em>Greatest number of boxes to pack all items into them equally will be 12 where each box contain 10,12,9 files, notebooks and pencils respectively.</em>

Step-by-step explanation:

To find the greatest number of boxes that Riley could pack the items into, we have to find the HCF of 144, 120 and 108.

We will find the HCF through prime factorization.

<em>("Prime Factorization" is finding which prime numbers multiply together to make the original number)</em>

<u>Step 1:</u>

Find the prime factorization of each of the given numbers.

<u>Step 2:</u>

The product of all common prime factors is the HCF of the given numbers.

First number is 120:

120 = 2*2*2*3*5

Second number is 144:

144 = 2*2*2*2*3*3

And last number is 108:

108 = 2*2*3*3*3

Now we will match the numbers which are common in all three values. In other words we will find the common factors.

<em>The common factors in 120,108 and 144 are:</em>

<em>2*2*3</em>

If we multiply 2*2*3 we get 12

Hence, HCF of ( 120,108,144 ) = 12

<em>Therefore, Greatest number of boxes to pack all items into them equally will be 12 where each box contain 10,12,9 files, notebooks and pencils respectively.</em>

5 0
3 years ago
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