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Hoochie [10]
3 years ago
13

The Johnson twins were born nine years after their older sister. This year, the product of the three siblings" Ages is exactly 2

378 more than the sum of their ages. How old are the twins?
Mathematics
1 answer:
larisa [96]3 years ago
7 0

Answer:

ages of the twins are 11 years

Step-by-step explanation:

let the age of the twins each be X

Age of the older sister = X+9

This current year;

(X)(X)(X+9) - (X+X+X+9) = 2378

X³+9X² - 3X-9 = 2378

Solving the polynomial

X = 11

Hence ages of the twins are 11 years

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Solve the system of equations using elimination: -8x-4y=4 and -5x-y=-11.
ziro4ka [17]

The solutions to the given system of equations are x = 4 and y = -9

<h3>Simultaneous linear equations</h3>

From the question, we are to determine the solutions to the given system of equations

The given system of equations are

-8x-4y=4  --------- (1)

-5x-y=-11   --------- (2)

Multiply equation (2) by 4

4 ×[-5x-y=-11 ]

-20x -4y = -44  -------- (3)

Now, subtract equation (3) from equation (1)

-8x -4y = 4  --------- (1)

-(-20x -4y = -44)  -------- (3)

12x = 48

x = 48/12

x = 4

Substitute the value of x into equation (2)

-5x -y = -11

-5(4) -y = -11

-20 -y = -11

-y = -11 + 20

-y = 9

∴ y = -9

Hence, the solutions to the given system of equations are x = 4 and y = -9

Learn more on Simultaneous linear equations here: brainly.com/question/26310043

#SPJ1

6 0
2 years ago
Divide.<br><br> −4 1/3÷−2 3/5<br><br> 123<br><br> 145<br><br> 215<br><br> 235
Over [174]

Answer:

1.66666666667

Step-by-step explanation:

6 0
3 years ago
What is 2/3 divided by 4/5?
m_a_m_a [10]

Answer:

5/6

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

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3 years ago
Read 2 more answers
Katie is buying souvenir.gifts for her big family back home. She wants to buy everyone either a key chain or a magnet. The magne
NikAS [45]
The total number of gifts = x+y.
The inequality is:
x+y  \geq 24

Key chains cost $1, Magnets $0.50
Total Cost = x + 0.5y
Inequality is:
x+0.5y  \leq 20

Without graphing you can solve system by using substitution:
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This is one solution where the maximum x value is given.
So the most keychains that can be purchased is 16. However, because magnets are cheaper, more can be purchased as long as cost remains under 20.

If you solve both inequalities for "y", you get the upper and lower bounds for how many magnets can be purchased given a quantity of keychains.

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This is complete solution which gives all possible combinations.
(Graph is Attached)

6 0
3 years ago
Monica receives a flat rate of $25 and an hourly rate of $15 when she works. Which of the following equations represents the tot
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Answer

d=25+15x I think

                   

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