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jok3333 [9.3K]
3 years ago
12

Nojo is 5 years older then jacob . the product of their ages is 84 . now old is noj

Mathematics
1 answer:
mixer [17]3 years ago
5 0
We can make two simple equations to express their ages to each other, then solve for one of the variables. Let n be Nojo's age and j be Jacob's age.

n(j) = 84
n - 5 = j
Use substitution to get only one variable in an equation.

n (n - 5) = 84
n^2 - 5n = 84

Since we have n to the power of 2, this equation has two possible answers, but since we are given four possible answer, just substitute them in the equation until one makes the left side equal 84.

<span>n^2 - 5n = 84
</span>12^2 - 5 (12) = 84
144 - 60 = 84
84 = 84

The answer is C = 12
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2/3+1/5x=5/6 showing work too plz
Lana71 [14]

Answer:x = 6/5

Step-by-step explanation:

The given expression is

2/3+1/5x=5/6

The Lowest common multiple of 2, 5x and 6 is 30x. We would multiply the left hand side of the equation and the right hand side of the equation by 30x. It becomes

2/3 × 30x + 1/5x × 30x = 5/6 × 30x

= 20x + 6 = 25x

Subtracting 20x from the left hand side and and the right hand side of the equation, it becomes

20x - 20x + 6 = 25x - 20x

5x = 6

x = 6/5

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3 years ago
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The scores on a test given to all juniors in a school district are normally distributed with a mean of 79 and a standard deviati
ludmilkaskok [199]

Answer:

p (x -<-89) = p( _x_-_75_ < _ 89_- __75__) = p (z <_ 2) = 0.9773= 97.73%

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5 0
3 years ago
What are the zeros of the polynomial function? f(x)=x^3+x^2−9x−9
ella [17]

Answer:

1: x = -1

2: x = 3

3: x = -3

Step-by-step explanation:

f(x)=<u>x^3+x^2</u>−9x−9

f(x)=x^2<u>(</u>x+1) <u>−9x−9</u>

f(x) = x^2<u>(x+1)</u> - 9<u>(x+1)</u>

f(x)= (x+1)<u>(x^2-9)</u>

f(x) =(x+1)(x-3)(x+3)

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3 years ago
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What is 12, 4, -2, 0, 9, -2, 1, 7, 8, 2 in order from least to greatest
7nadin3 [17]

Answer:

-2 , -2 , 0 , 1 , 2 , 4 , 7 , 8 , 9 , 12

Step-by-step explanation:

Order each number from least to greatest. Note that if the number is numerically larger and attached is a negative sign (-), then it is towards the least. If it does not have a negative sign, it leans towards the most.

Your answer:

-2 , -2 , 0 , 1 , 2 , 4 , 7 , 8 , 9 , 12

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3 years ago
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If k is parallel to l find the value of a and the value of b.
kipiarov [429]

Answer:

a = 30

b = 40

C

Step-by-step explanation:

This requires that you use a proportion.

a / (a + 15) = 40 / 60

The small triangle's sides are in proportion to the large triangles sides.

Reduce the right. Divide top and bottom by 20

a/(a + 15) = 40/20 // 60/20

a/(a + 15) = 2/3                    

Cross multiply

3a = 2(a + 15)            Remove the brackets on the right.

3a = 2a + 30

Subtract 2a from both sides

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b is done exactly the same way.

b/(b+20) = 2/3

3b = 2b + 40

3b - 2b = 40

b = 40

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3 years ago
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