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Bingel [31]
3 years ago
9

A sleeping bag weighs 8 pounds. Your backpack and sleeping bag together weigh 31 pounds. Write an equation to determine whether

the backpack without the sleeping bag weighs 25 or 23 pounds.
Mathematics
1 answer:
SashulF [63]3 years ago
7 0
Sleeping bag weights 8 pounds
sb=8

backpack+sleeping bag=31
b+sb=31
sb=8
b+8=31
subtract 8 from both sides
b+8-8=31-8
b+0=23
b=23
backpack weighs 23 pounds with out sleeping bag
equation is b+s=31
s=8
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Corey has a piece of fabric that is 1/4 yard long. He cuts the length into 2 equal pieces. Write an expression for the length, i
MrRissso [65]

Answer:The length of each piece of fabric is 1/8 yards.

Step-by-step explanation:

Corey has a piece of fabric that is 1/4 yard long. He cuts the length into 2 equal pieces. This means that he cut 1/4 yards of fabric into two equal pieces.

An expression for the length, in yards, of each piece of fabric will be

Let the length of the fabric be x in yards. Also, let the length of each piece of fabric be y in yards. It becomes

y = x/2

Since x = 1/4

y =( 1/4)/ 2 = 1/4 × 1/2

y = 1/8

The length of each piece of fabric is 1/8 yards.

4 0
3 years ago
A number, x, rounded to 1 decimal place is 3.7<br>Write down the error interval for x.​
alekssr [168]

Answer:

3.65 \leqslant x \leqslant 3.75

Step-by-step explanation:

The error in rounding a number is half of the unit of measure.

The number was rounded to the nearest 0.1 unit so the error is 1/2×0.1, which equals 0.05.

Now we add 3.7 and 0.05, which equals 3.75 and we also take 3.7 - 0.05, which equals 3.65

So, the error interval is:

3.65 \leqslant x \leqslant 3.75

4 0
3 years ago
A.2.1<br> B.5<br> C.21.2<br> D.22.1
satela [25.4K]
The answer is  D. 22.1.
Hope this helps!! Have a good Day!!! :D
8 0
3 years ago
What is the height, in centimeters, of a rectangular prism that is 80 centimeters wide, 40 centimeters long, and has a volume of
Rainbow [258]

Answer:

The answer to your question is the letter E. 50

Step-by-step explanation:

Data

height = ?

Width = 80 cm

Length = 40 cm

Volume = 160000 cm³

Formula

Volume of a rectangular prism = Width x length x height

Substitution

                          160000 = 80 x 40 x height

Solve for height

                           height = 160000 / 80 x 40

Simplification

                           height = 160000/ 3200

Result

                           height = 50 cm              

4 0
3 years ago
A)$150 at 3 % interest for 2 years
tamaranim1 [39]

Answer:

A)  159.135 = X

B) 2,531.25 = X

C)  6,187.5 = X

D) 831,947.46 = X

Step-by-step explanation:

The following investments are required to be calculated:

A) $ 150 at 3% interest for 2 years

B) $ 750.00 at 1/2% interest for 3 years

C) $ 2,250.00 at 1 3/4% interest for 1 year

D) $ 2,550.00 at 3 1/4 interest for 4 years

Therefore, the following calculations must be performed:

A)

150 x (1 + 0.03) ^ 2 = X

150 x 1.03 ^ 2 = X

159.135 = X

B)

750 x (1 + 0.5) ^ 3 = X

750 x 1.5 ^ 3 = X

2,531.25 = X

C)

2,250 x (1 + 1.75) = X

2,250 x 2.75 = X

6,187.5 = X

D)

2,550 x (1 + 3.25) ^ 4 = X

2,550 x 4.25 ^ 4 = X

831,947.46 = X

4 0
3 years ago
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