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sesenic [268]
3 years ago
5

the sum of 4 consecutive even numbers is 92 . Write an equation in which x represents the smallest of these 4 numbers . Then sol

ve for x .
Mathematics
1 answer:
Svet_ta [14]3 years ago
8 0
Let x = the first even number
x + 2 the second
x + 4 the third
x + 6 the fourth
Add together.
x + x + 2 + x + 4 + x + 6 = 92
Combine like terms.
4x + 12 = 92
Subtract 12 from both sides
4x = 80
Divide both sides by 4
x = 20
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Which formula shows a joint variation?
djyliett [7]

The answer is the first option: I, II and III.

The explanation is shown below:

1. By definition, there is a joint variation  when a variable depends on two or more different variables. Therefore, you can express it as following:

y=kxz

Where x,y and z are the variables and k is the constant of proportionality.

As you can see, y is directly proportional to x and z.

2. Keeping the information above, you have:

I) V=lwh (V varies jointly with l, w and h.

II) V=\frac{1}{3}r^{2}h\pi (If \frac{\pi}{3} is the constant of proportionality, V varies jointly with r^{2} and h).

III) V=Bh (V varies jointly with B and h.

8 0
3 years ago
Read 2 more answers
How many minutes is it before 12 noon if 68 minutes ago it was three times as many minutes past 10 a.m.?​
umka21 [38]
If 68 minutes ago it (then) was three times as many minutes past 10 am (now)

x + 68 = 3 ×
×
(120 - x) →
→
x = 73 min
… if 68 minutes ago it (now) was three times as many minutes past 10 am (then)

x = 3 ×
×
[120 - (x + 68)] →
→
x = 39 min
… if 68 minutes ago it (then) was three times as many minutes past 10 am (then)

x + 68 = 3 ×
×
[120 - (x + 68)] →
→
x = 22 min
7 0
2 years ago
The following function represents the value of a house after x years: f(x) = 242,000(0.96)x What does 0.96 represent?
9966 [12]

Because the 0.96 is less than 1, it means that the house loses value over the years.

Convert 0.96 to a percent: 0.96 = 96%

100% - 96% = 4%

The house loses 4% of it's value every year.

5 0
2 years ago
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kow [346]

Answer: 400

Step-by-step explanation:

5 0
3 years ago
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8 1/4=d÷ 2/12<br><br>plz help assignment due in 30 min!
pogonyaev

Answer:

exact form: d=99/2

decimal form: 49.5

mixed number form: 49 1/2

Step-by-step explanation:

sorry for the hold up

7 0
2 years ago
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