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Phoenix [80]
2 years ago
13

Select ALL the expressions that are equivalent to -4(8x-3)

Mathematics
1 answer:
Vinvika [58]2 years ago
8 0

Answer:

dddddStep-by-step explanation:

You might be interested in
The difference between two positive integers is 7 and the sum of their squares is 949. What are the numbers?
Darina [25.2K]

Answer:

25 and 18

Step-by-step explanation:

Let's say that the first number is x and the second one is y.

First, the difference between them is 7, so x-y=7

Next, the sum of their squares is 949, so x²+y² = 949

We have

x-y=7

x²+y²=949

One thing we can do to solve this problem is to solve for x in the first equation, plug that into the second equation, and go from there

Adding y to both sides in the first equation, we have

x = 7 + y

Plugging that into the second equation for x, we have

(7+y)²+ y² = 949

expand

(7+y)(7+y) + y² = 949

49 + y² + 7y + 7y + y² = 949

combine like terms

2y² +14y + 49 = 949

subtract 949 from both sides to put this in the form of a quadratic equation

2y² + 14y - 900 = 0

divide both sides by 2

y² + 7y - 450 = 0

To factor this, we want to find 2 numbers that add up to 7 and multiply to -450.

The factors of 450 are as follows:

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, and 450.

Note that we want to find two numbers with a difference of 7, as one will have to be negative for the multiplication to end up at -450. Two numbers that stand out are 18 and 25. To make them add up to 7, 18 can be negative. We therefore have

y² + 25y - 18y - 450 = 0

y(y+25) - 18(y+25) = 0

(y-18)(y+25) = 0

Solving for 0,

y-18 = 0

add 18 to both sides

y=18

y+25 = 0

subtract 25 from both sides

y= -25

As the question states "two positive integers", this means that y must be positive, so y = 18. We know x-y=7, so

x-18 = 7

add 18 to both sides to isolate x

x = 25

7 0
2 years ago
Tristán wants to build a square garden in his backyard if the garden is going to be 64 ft2 how many feet of material will he nee
Alex777 [14]

Answer:

Tristan will need 32 feet of material for the perimeter of the garden.

Step-by-step explanation:

Given that

Area of square garden = A = 64 square feet

Perimeter = P = ?

We know that for calculation of perimeter, length of side of square is required which is not directly given in the question. The area will be used to calculate length of side and then length will be used to calculate the perimeter.

So,

Area = A = s^2

s is for side

Putting the value of area

64 = a^2

Taking square root on both sides

\sqrt{s^2} = \sqrt{64}\\s = 8\ feet

The length of side is 8 feet.

Perimeter will be:

P = 4*s\\P = 4*8\\P = 32\ feet

Hence,

Tristan will need 32 feet of material for the perimeter of the garden.

3 0
3 years ago
Greatest to least: 17/20, 19/20, 0.19, 0.24
Yakvenalex [24]
19/20,17/20,0.24,0.19
5 0
3 years ago
What is the percentage of $1.35 of $5
AnnyKZ [126]
I believe that the answer would be 27%


6 0
3 years ago
Read 2 more answers
Divide £250 to ratio 3:6:1
fiasKO [112]
Answer --> 75 : 150 : 25

3/10 x 250 = 75
6/10 x 250 = 150
1/10 x 250 = 25
7 0
3 years ago
Read 2 more answers
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