7(3x-4)=49 how do you solve

Answers

Answer 1

Answer: $7(3x-4)=49$
Distributhing 7 through prantheses
$7*3x-7*4=49$
$21x-7*4=49$
$21x-28=49$
Add28
$21x=49+28$
$21x=77$
Divide by 21
$x= (77)/(21)$

$x= (11* \not7)/(3* \not7)$

$x= (11)/(3)$

$x=3 (2)/(3)$

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The lateral area of a cube is 36 square inches. How long is each edge?

Answers

The length of the edge of the given cube that has a lateral area of 36 square inches is: 3 inches.

What is the Lateral Area of a Cube?

Lateral area of a cube = 4a², wherea is the length of each edge of the cube.

Given the parameters:

Lateral area = 36 square inches
Length of each edge = a = ?

4a² = 36

a² = 36/4

a² = 9

a = 3 inches.

Length of each edge of the cube = 3 inches.

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Cubes have three square sides. The area of one side is the edge length squared:
36 = L^2
L = sqrt(36) = 6
The volume of a cube is edge length cubed:
V = L^3 = 216 cubic inches

What is the value of the function f(x)=3(4-x) when x=7?

Answers

f(x) = 3(4 - x)
= 3(4 - 7)
= 3(-3)
= -9

Final answer:

The value of the function f(x)=3(4-x) when x=7 is -9. This is calculated by substituting x=7 into the function and simplifying.

Explanation:

To find the value of the function f(x)=3(4-x) when x=7, you should insert x's value into the equation. Therefore, the function takes the form: f(7)=3(4-7). Then you simplify it to: f(7)=3(-3) and further simplification gives: f(7)=-9.

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a type of brass is made by combing copper and zinc in a 8:2 ratio. if you want to make 2kg of brass, how many grams of copper do you need

Answers

Answer:

2.5gramsofCopper

Step-by-step explanation:

• Total ratio = 8 + 2 = 10

Let the grams of copper be y

${ \tt{ (8)/(10) * y = 2 }} \n \n { \tt{8y = 2 * 10}} \n { \tt{8y = 20 \: \: \: \: \: \: \: \: \: }} \n { \tt{y = 2.5}}$

Grams of copper = 2.5 g

The sale price of shrimp at a local grocery store is $1.15 for the first ounce and $0.95 for each additional ounce. Which function rule shows how the cost of shrimp, y, depends on the number of ounces, x?A - y = 1.15x + 0.95
B - y = (0.95 + 1.15)x
C - y = 0.95x + 1.15
D - y = 0.95(x - 1) + 1.15

Answers

option A. y = 1.15 + 0.95x

1.15 is a fixed cost and 0.95 is a variable cost that has to be multiplied by the number of ounces of shrimp, x.

John is weighing the choice between buying a new car versus a used car. John has saved money to make a down payment but wants to keep his costs low. John decides to purchase the new car. . A. John should have purchased the used car since used cars are generally cheaper. B. John should have purchased the used car since maintenance and repair costs will be lower. C. John was correct in purchasing the new car since it depreciates faster. D. John was correct in purchasing the new car since it has lower insurance premium.

Answers

Answer:

Step-by-step explanation:

In the end, the used car would cost him more than the new car. This is because the insurance premium for a used car will generally be more than that of a new car. This is because the risks associated with a second-hand car are higher. This is due to the fact that that they are more likely to break down than new cars.

Find three consecutive even numbers whose sum is 96?

Answers

so consectuve even numbers

we know that one even number plus 2= another even number so we want to find 3 consecutive even numbers that add up to 96 or
x is the first number
x+2 is the second number
x+4 is the third number

x+x+2+x+4=96
3x+6=96
subtract 6 from both sides
3x=90
divide both sides by 3
x=30

the first number is 30
x+2=32=second number
x+4=34=third number

the numbers are 30,32,34

Let me show you how I like to do problems like this:

-- If I just needed three numbers that add up to 96, the easiest way
to do it would be to find 1/3 of 96 . That's 32, so the three numbers
could be 32, 32, and 32.

-- If you want three consecutive even numbers, just take 2 away from
one of those numbers, and add it on to a different one.

Now you have 30, 32, and 34, and you haven't changed their sum.

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