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3 years ago

An equation is shown X + 1 = 9x - 3 What is the solution?

Mathematics

1 answer:

STatiana [176]3 years ago

7 0

Answer:

Step-by-step explanation: x + 1 = 9x - 3

x + 1 = 9x - 3

(minus x from both sides)

1 = 8x -3

(add 3 to both sides)

4 = 8x

(flip the equation)

8x = 4

(divide both sides by 8)

x = 4/8

x = 1/2 or 0.5

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Ms smith has 28 sixth graders and 35 seventh graders for math. If she wants to break the two grades into identical groups withou

Olegator [25]

28+35=63
63/3=21
Answer is 3 groups

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3 years ago

Paul has three cube-shaped boxes. Each box is a different size

qwelly [4]

Answer:

See explanation

Step-by-step explanation:

Paul has three cube-shaped boxes. Each box is a different size and they are stacked from the largest to the smallest. Some information about the boxes is given below.

The combined volume of the three boxes is 1,197 cubic inches.
The area of one face of the medium box is 49 square inches.
The volume of the smallest box is 218 cubic inches less than the volume of the medium box.

1. The medium box has the area of one face of 49 square inches, then

$a^2=49\\ \\a=7\ inches$

is the side length.

The volume of the medium box is

$a^3=7^3=343\ in^3.$

2. The volume of the smallest box is 218 cubic inches less than the volume of the medium box, then the volume of the smallest box is

$343-218=125\ in^3.$

Ib is the side length, then

$b^3=125\\ \\b=5\ inches$

The area of one face is

$b^2=5^2=25\ in^2.$

3. The volume of the largest box is

$1,197-343-125=729\ in^3,$

then if c is the side length,

$c^3=729\\ \\c=9\ inches.$

4. The total height of the stack is the sum of all sides lengths:

$a+b+c=7+5+9=21\ inches$

5. Find the surface area of each box:

small $6b^2=6\cdot 5^2=6\cdot 25=150\ in^2;$
medium $6a^2=6\cdot 7^2=6\cdot 49=294\ in^2;$
large $6c^2=6\cdot 9^2=6\cdot 81=486\ in^2.$

In total, Paul needs

$150+294+486=930\ in^2$

of wrapping paper. He has 1,000 square inches, so Paul has enough paper to wrap all 3 boxes.

8 0

4 years ago

Which ordered pair is in the solution set of 3x-y=10

tia_tia [17]

B as if you plug the co-ordinates into the equation and it equals 10: (3x4)-2= 12-2 =10

A doesn't work as the answer is 20

C doesn't work as the answer is 14

D doesn't work as the answer is -20

3 0

4 years ago

Gerald buys a bag of 7500 assorted beads online a random sample of 150 beads contains 17 red beads. Predict the number of assort

Deffense [45]

Answer:

850 red beads

Step-by-step explanation:

One way to do this problem is to set a proportion.

red beads/red beads = total beads/total beads

Let x = the no. of red beads in the bag

x/17 = 7500/150

x = 17(7500)/150 = 850 red beads

4 0

3 years ago

11 + 1 + 0.01 + 0.11 + 0.111 = ?<br> A. 12.231<br> B. 15.21<br> C. 12.222<br> D. 13.23

Charra [1.4K]

11 + 1 + 0.01 + 0.11 + 0.111 = ?

11 + 1 = 12

12 + 0.01 + 0.11 + 0.111 = ?

0.01 + 0.11 = 0.12

12 + 0.12 + 0.111 = ?

0.12 + 0.111 = 0.231

12 + 0.231 = 12.231

11 + 1 + 0.01 + 0.11 + 0.111 = 12.231

Your final answer is A. 12.231

5 0

3 years ago

Read 2 more answers