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blondinia [14]
3 years ago
11

Which expression shows 56x+40y-48z written as a product of the greatest common factor and one other factor

Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0

Answer:

Step-by-step explanation:

You have not provided the choices.

Factor each term into powers of primes and variables:

56x = 2³·7x

40y = 2³·5y

48z = 2⁴·3z

Greatest common factor = 2³ = 8

56x + 40y - 48z = 8(7x + 5y - 6z)

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How many ounces of 15% alcohol solution must be mixed with 11 ounces of a 20% alcohol solution to make 16% alcohol solution
Elena-2011 [213]

Answer:

44 ounces

Step-by-step explanation:

Begin by setting up your equation in the following format:

(Percent)(Amount) + (Percent)(Amount) = (Percent)(Amount + Amount)

In this case, your equation should look like this:

(0.15)(x) + (0.20)(11) = (0.16)(x + 11)

where x stands for the number of ounces of the 15% alcohol solution needed.

Next, we can begin simplifying to solve for x. Your work should look similar to this:

(0.15)(x) + (0.20)(11) = (0.16)(x + 11)

0.15x + 2.2 = (0.16)(x + 11)

~ Multiply both sides by 100 to eliminate all of the decimals ~

15x + 220 = 16(x + 11)

15x + 220 = 16x + 176

15x = 16x - 44

-x = -44

x = 44

This means that 44 ounces of 15% solution must be mixed with 20% solution to make 16% solution

~Hope this Helps!~

7 0
3 years ago
A coupon subtracts $5.16 from the price (p) of a shirt. You pay $15.48 for the shirt after using the coupon. Write and solve an
lbvjy [14]

The equation would look like: p - 5.16 = 15.48

because the coupon subtracts 5.16 from p and the price you pay is 15.48

Solve the equation by adding 5.16 to both sides

p = 20.64

The original price of the shirt is $20.64

7 0
3 years ago
What is the area of the triangle?<br><br> 8<br> 8<br> 10<br> 10<br> 12.8<br> 12.8
mojhsa [17]
What triangle are you talking about?
8 0
3 years ago
Read 2 more answers
99 POINTS .Use the parabola tool to graph the quadratic function f(x)=2x2+16x+30 . Graph the parabola by first plotting its vert
Iteru [2.4K]
Hello!

We can put in numbers for x to get points of the graph

2(-4)^2 + 16(-4) + 30 = -2

One point is (-4, -2)

2(-3)^2 + 16(-3) + 30 = 0

The next point is (-3, 0)

2(-5)^2 + 16(-5) + 30 = 0

The third point is (-5, 0)

The parabola has a vertex of (-4, -2) and goes through the points (-3, 0) and (-5, 0)

Hope this helps!
6 0
3 years ago
Read 2 more answers
For friends are sharing a meal. They each agreed to pay 25% of the total cost. The meal costs $115. How much does each friend pa
Juli2301 [7.4K]

There are two ways to do this:

Way 1- Since you know there are 4 people and each will pay 25%, you know that every person will pay equally / the same amount so you can just do 115/4 and get $28.75 per person

Way 2- You can convert 25% into a decimal by multiplying it by 100 and getting 0.25 and multiplying 0.25 x 115 to get 25% of 115, which is what everyone will pay and you get B $28.75

5 0
3 years ago
Read 2 more answers
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