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romanna [79]
2 years ago
12

The sum of four times a number and five times another number is -28. The sum of nine times the first number and two times the se

cond number is 11
Mathematics
1 answer:
Rina8888 [55]2 years ago
3 0

Answer:

<h2>3 and -8</h2>

Step-by-step explanation:

x,\ y-the\ numbers\\\\\text{The sum of four times a number and five times another number is -28:}\\\\4x+5y=-28\\\\\text{The sum of nine times the first number and two times the second number is 11:}\\\\9x+2y=11\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}4x+5y=-28&\text{multiply both sides by2}\\9x+2y=11&\text{multiply both sides by (-5)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}8x+10y=-56\\-45x-10y=-55\end{array}\right}\qquad\text{add both sides of the equation}

.\qquad-37x=-111\qquad\text{divide both sides by (-37)}\\.\qquad\qquad\boxed{x=3}\\\\\text{Put the value of x to the first equation:}\\\\4(3)+5y=-28\\12+5y=-28\qquad\text{subtrac 12 from both sides}\\5y=-40\qquad\text{divide both sides by 5}\\\boxed{y=-8}

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The instructions on the bag on concrete mix say to add 2 gallons of water to each 8 pounds bag of conceit mix
tiny-mole [99]

Answer:

4 pound

Step-by-step explanation:

From the question :

2 gallons of water = 8 pound bag

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Let the number of pound = x

Using cross multiplication, we'll have :

2 gallons = 8 pounds

1 gallon = x pounds

Cross multiply

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x = 4

Hence, 1 gallon of water mixes 4 pound bag of concrete.

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2 years ago
Owen and kenji are monkeys at a zoo. Owen weighs 5/6 as much as kenji. If owen weighs 90 pounds how much does kengi weigh
choli [55]
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5 0
3 years ago
A cone has radius 9 and height 12. A frustum of this cone has height 4.
Rom4ik [11]

The radii of the frustrum bases is 12

Step-by-step explanation:

In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section

As given in the figure radius and height of the cone are 9 and 12 respectively

Similarly, the height of the frustum is 4

Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)

We can see that ΔABC is similar to ΔADE

Using the similarity theorem

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3 years ago
Consider the expression 6n2 + 2n + 3 . What is the coefficient of n?
ad-work [718]

Answer:

Step-by-step explanation:

2

The coefficient is the number in front of the variable.

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6 0
3 years ago
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