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3 years ago

What is the solution to this equation? 5x + 15 + 2x = 24 + 4x

Mathematics

2 answers:

pentagon [3]3 years ago

6 0

Add

and

Move all terms containing

to the left side of the equation.

Move all terms not containing

to the right side of the equation.

Divide each term by

and simplify.

Firdavs [7]3 years ago

4 0

To solve this equation, we must get all of the variables to one side of the equation and all of the constants (numbers) to the other side of the equation. To begin, however, we must add together the two terms on the left side of the equation that both have variables.

5x + 15 + 2x = 24 + 4x

7x + 15 = 24 + 4x

Next, we should subtract 4x from both sides of the equation so that the 4x on the right side cancels out and all of the variable terms are now on the left side.

3x + 15 = 24

Similarly, we also want to subtract 15 from both sides of the equation so that all of the constants are on the right side of the equation and we can get the variable alone on the left side.

3x = 9

Finally, we should divide both sides of the equation by 3 so that we can get rid of the coefficient of 3 on the variable x and get our answer.

x = 3

Therefore, your answer is x = 3.

Hope this helps!

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Find the unit rate. 48 cupcakes in 6 boxes=cupcakes per box

natka813 [3]

Answer: 8 cupcakes per box

Step-by-step explanation: "Per box" means in 1 box, so we can rewrite the given statement using fractions as

48 cupcakes/6 boxes = __ cupcakes/1 box.

To find out what goes in the blank, notice that we

have a 1 in the denominator of our second fraction.

So we want to find a fraction that is equivalent

to 48/6 that has a 1 in the denominator.

If we divide the numerator and denominator of 48/6 by 6,

we get the equivalent fraction 8/1 or 8 cupcakes/1 box.

So now we have 8 cupcakes/1 box = __cupcakes/1 box.

So an 8 must go in the blank which means that the unit rate

for 48 cupcakes in 6 boxes is 8 cupcakes per box.

6 0

3 years ago

Read 2 more answers

In one baseball season, Nolan hit twice the difference of the number of home runs Mrs. Davis hit and 6. Altogether, they hit 18

Alborosie

Answer:

Nolan hitted 8 home runs

Step-by-step explanation:

Let's call the number of home runs that Nolan hitted by N, and that Davis hitted by D.

So, we can write the following equations:

N = 2 * (D - 6)

N + D = 18

Now we can solve the system of equations, using the value of N from the first equation in the second one:

2 * (D - 6) + D = 18

2*D - 12 + D = 18

3*D = 30

D = 10

Now we find N:

N + D = 18

N + 10 = 18

N = 8

So we have that Nolan hitted 8 home runs.

4 0

3 years ago

Solve :(use unitary method)

andre [41]

Answer:

a. 8

b. 114

Step-by-step explanation:

36/6 = 48/x

36x = 288

x = 8

12/72 = 19/x

1/6 = 19/x

x = 114

8 0

2 years ago

No wrong answers no quesses no links

Eva8 [605]

Photo has the work you need

5 0

2 years ago

Read 2 more answers

A large Pizza has a diameter of 18 inches. If each large pizza is cut into 10 equal slices, what is the approximate area of 3 sl

Brums [2.3K]

--------------------------------------
Find Radius
--------------------------------------
Radius = Diameter ÷ 2
Radius = 18 ÷ 2
Radius = 9 inches

--------------------------------------
Area of the Pizza
--------------------------------------
Area = πr²
Area = π x (9)²
Area = 81π
Area = 254.47 in² (nearest hundredth)

--------------------------------------
find area of 1 slice of pizza
--------------------------------------
10 slices = 254.47 in²
1 slice = 254.47 ÷ 10
1 slice = 25.44 in²

--------------------------------------
Find area of 3 slices of pizza
--------------------------------------
1 slice = 25.44 in²
3 slices = 25.44 x 3
3 slices = 766.32 in²

--------------------------------------
Answer: 766.32 in²
--------------------------------------

3 0

3 years ago