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ad-work [718]
3 years ago
8

A rate in which the first quantity is compared to 1 unit of the second quantity

Mathematics
1 answer:
Ivan3 years ago
7 0

Answer:

it will compare unit to some quanlity to a different number of units of a different queality.

Step-by-step explanation:

a/b=c/d proportions are two fractions that are equal example: 1/2=2/4

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1) Twice a number decreased by four is 32.
LUCKY_DIMON [66]

Answer:

x = 18

Step-by-step explanation:

Twice a number becomes 2x, decreased by 4 becomes -4, and combined those terms equal 32.

2x - 4 = 32

2x - 4 + 4 = 32 + 4  (isolate the variable)

2x = 36

x = 18

3 0
2 years ago
Which score has a higher relative position, a score of 92 on a test with a mean of 71 and a standard deviation of 15, or a score
slava [35]

solution:

a score of 92 has z score of

z=\frac{x-μ}{σ}=\frac{92-71}{5}=1.40

a score of 688 has z score of

z=\frac{x-μ}{σ}=\frac{688-493}{150}=1.30

a score of 92 is better because its z score is higher

5 0
2 years ago
Read 2 more answers
2(x-+2)+4=6x-4(-1+x)
sertanlavr [38]

2x-4+4=6x+4-4x

2x=2x+4

c there is no solution

8 0
3 years ago
Read 2 more answers
A geometric progression has a third term of 20 and a sum of infinity which is 3 times the first term. Find the first term ​
Anna007 [38]

Answer: the first term is 45

Step-by-step explanation:

Step 1: The formular for the nth term is ar^n-1 and since we're solving for the third term ar^3-1 = ar² which is equal to 20

So ar²= 20 and we make this equation i

Step 2: the formular for the sum of infinity is Sn = a/(1-r) and according the question the sum of infinity is equals to 3 *A ( A means the first term)

Further simplification gives us

3a= a/(1-r)

We simplify Futher by multiplying both sides by (1-r)

3a.(1-r) = a/(1-r).(1-r)

3a(1-r)=a

= 3a-3ar=a

Make 3ar the subject of the formula

3ar= 2a and lets make this equation (ii)

Step 3: From the first equation since ar²=20, let's make a the subject of the formula by dividing both sides by r²

Ar²/r² = 20/r²

A=20/r²lets make this equation (iii)

Step 4: subtitle a as 20/r² into equation (ii)

Since 3ar=2a

Then 3.(20/r²).r = 2. 20/r²

= (60/r²) .r = 40/r²

60/r = 40/r2

Multiplying both sides by r² gives us

60r = 40

Divide both sides by 20 gives us

= 3r= 2

Divide both sides by 3 gives us

= r = 2/3

Step 5: substitute r for 2/3 in equation i

ar²= 20

a. (2/3)2 = 20

= a.4/9 = 20

= 4a = 180

= a = 180/4

a = 45

5 0
3 years ago
show a model to show a fraction that is equivalent to 1/3 and a fraction that is not equivalent to 1/3
murzikaleks [220]
Equivalent: 2/6 Not Equivalen: 10/13
3 0
3 years ago
Read 2 more answers
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