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miskamm [114]
3 years ago
10

The difference between 4/9 of a number and 7 is 5

Mathematics
1 answer:
vodomira [7]3 years ago
8 0

first what quantities do we need to talk about?

the problem speaks of “a number”, let’s call that number x.

now write the equation that relates x to the other numbers we know.

the first clue is the word “difference”.

this means “subtraction”, but we need to subtract something from something else.

what are the two somethings? ”a number times 7” and “4”.

so, since we have a name for “a number”, let’s translate this as x*7 - 4 what else do we know?

it says the difference is 9. So complete the equation x*7 - 4 = 9 if we rewrite this cosmetically, 7x - 4 = 9

i assume that you know how to solve this for x.

so then wehn solving 7x - 4 =9 we take -4 change it to +4 so then +9 we go and get 13

7x = 13

7/7 = 13/7

x=  13/7

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
rosijanka [135]

y - 0 = 5(x-4)

  y = 5x-20

  5x - y = 20  Standard Form  


3 0
3 years ago
Multiply both sides of the equation by 6.<br> {(4a + 1) = 2a<br> ? (4a + 1) = ?<br> a
solniwko [45]

Answer:

24a+6=12a

Step-by-step explanation:

6(4a+1)

24a+6

2a X 6= 12a

24a+6=12a

6 0
3 years ago
A sphere has a radius r=12 inches. What is it’s approximate volume
alexandr402 [8]

Answer: 7238.28

Step-by-step explanation:

7 0
3 years ago
1. A movie theater designs two bags to hold 96 cubic inches of popcorn. a. Find the height of each bag b. Which bag should the t
MrRissso [65]
I have attached a screenshot with the images of the two popcorn bags used by the theater.

Part (a):
Bag A:
Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 3 in
width = 4 in
Therefore:
96 = 3 * 4 * height
96 = 12 * height
height of bag A = 8 in
Bag B:
Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 4 in
width = 4 in
Therefore:
96 = 4 * 4 * height
96 = 16 * height
height of bag B = 6 in

Part (b):
To determine the amount of paper needed, we will need to calculate the surface of each bag. Excluding the top base, each bag will have 5 faces. Four side faces (each two opposite are equal) and the base.
Bag A:
Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (3*4) + 2(8*4) + 2(8*3) 
Surface area = 12 + 64 + 48 
Surface area of bag A = 124 in²
Bag B:
Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (4*4) + 2(6*4) + 2(6*4) 
Surface area = 16 + 48 + 48 
Surface area of bag B = 112 in²
From the above calculations, we can deduce that the theater should choose bag B in order to reduce the amount of paper needed.

Hope this helps :)



6 0
3 years ago
Based on the Nielsen ratings, the local CBS affiliate claims its 10 p.m. newscast reaches 41% of the viewing audience in the are
damaskus [11]

Answer:

H0:p=0.41

Step-by-step explanation:

The null hypothesis always contain equality i.e. (=) sign. The null hypothesis contains the statement regarding population parameter. Here, the claim about population proportion is mentioned in the statement that 10 p.m. newscast of local CBS reaches 41% of viewers. So, the null hypothesis would be

Null hypothesis:H0: p=0.41.

4 0
3 years ago
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