Adding & subtracting decimals word problems

Answer:

The system of equations that can be used to find the number of each type sold is given as:

x + y = 17 ...... Equation 1

76x + 141y = 1460....... Equation 2

Step-by-step explanation:

Let

x represent the number of polyester-fill bags sold

y represent the number of down-fill bags sold.

In one week the store sold 17 sleeping bags

x + y = 17 ...... Equation 1

x = 17 - y

At Raging River Sports, polyester-fill sleeping bags sell for $76. Down-fill sleeping bags sell for $141. In one week the store sold 17 sleeping bags for $1,460.

Hence:

$76 × x + $141 × y = $1460

76x + 141y = 1460....... Equation 2

Therefore, the system of equations that can be used to find the number of each type sold is given as:

x + y = 17 ...... Equation 1

76x + 141y = 1460....... Equation 2

Answer:

[0,5] or 0≤ y≤ 5

Step-by-step explanation:

Not 100% certain but all the values are included even though there is an open circle

Step-by-step explanation:

(38+45)+9*2+3-59+((4/2)*3+8*5)=

83+18+3-59+(6+40)=

83+18+3-59+(6+40)=

83+18+3-59+46=

(83+18+3+46)-59=

150-59=91

I'm not sure if this is correct but it should be. Is it 4/2*3 or (4/2)³?If it is (4/2)³ the result would be 93.

Answer:

a) Smallest line that can be made with each color = 300 cm

b) Total strips should be used = 47 strips

c) Total strips used of blue color = 20

  Total strips used of green color = 15

  Total strips used of red color = 12

Step-by-step explanation:

Given - To decorate a wall, there are 15 cm blue, 20 cm green, and 25 cm red strips of paper. On the wall you want to build three lines of the same size, one of each color and without cutting any strip.

To find - a) How long is the smallest line that can be made with each color?

              b) How many strips should be used?

              c) How many of each color?

Proof -

a)

For the smallest line that can be made with each color, we just have to find the lcm (least common multiple) of the 3 srtips.

Firstly,

Decompose the 3 strips to its prime factors , we get

15 = 3×5

20 = 2²×5

25 = 5²

So,

The Lcm(15, 20, 25) = 3×2²×5² = 3×4×25 = 300

∴ we get

Smallest line that can be made with each color = 300 cm

b)

Now,

Total strips used = 300 cm

Strips used by 15 cm blue = [tex]\frac{300}{15}[/tex] = 20 strips

Strips used by 20 cm green = [tex]\frac{300}{20}[/tex] = 15 strips

Strips used by 25 cm red = [tex]\frac{300}{25}[/tex] = 12 strips

So,

Total strips should be used = 20 + 15 + 12 = 47 strips

c)

Total strips used of blue color = 20

Total strips used of green color = 15

Total strips used of red color = 12

Answer:

$430.35

Step-by-step explanation:

you have to subtract the 2 withdrawls, and then add 25 for the deposit to get the total amount

Answer:

12 cubic centimeter blocks are in the bottom layer

Answer:

42 degrees

Step-by-step explanation:

Angles E and G are equal.  Therefore, 8x - 6 = 7x, and x = 6.

Then the measure of angle G must be 7(6), or 42 degrees.

Answer:

We have the inequality:

-46 < -34

This naturally happens because -46 is at the left of -34 in the number line, meaning that -46 is smaller than -34.

An example to see this is suppose that these numbers represent money.

Because the numbers are negative, then these represent money you owe.

-46 means that you owe $46

-34 means that you owe $34

Then if we are counting the money you have, owing $34 means that your money is larger than if you owe $46.

Another example is if these numbers represent distance under the surface of the water.

-46 means that you are 46 ft under the surface of the water

-34 means that you are 34 ft under the surface of the water.

Clearly, in the second case your altitude is higher than in the first one, so again, the inequality is true.

Answer:

20%

Step-by-step explanation:

465 - 372 = 93

93/465 = 0.2

0.2 × 100 = 20

Hope this helps !

Answer:

15m

Step-by-step explanation:

a^2 + b^2 = c^2

a=?

b = 20m

c = 25m

a^2 + (20m)^2 = (25m)^2

a^2 + 400m^2 = 625m^2

a^2 = 625m^2 - 400m^2 = 225m^2

a = 15m

Answer:

The answer is 15

Step-by-step explanation:

Answer: 14 Units

Step-by-step explanation: Subtract (10-2) and (11-5)

Answer:

1441.08 cubic inches

Step-by-step explanation:

Blue

V = L * W * H

L = 15

W = 9

H = 9

V = 9 * 9 * 15 =                       1215 CU IN

YELLOW

Diameter = 6

Height = 8

radius = d/2

radius = 6/2

radius = 3

Volume = pi*r^2 * h

Volume = 3.14*3^2 * 8

Volume =                                226.08    Add

                                               1441.08

Answer:

Use rules of logarithms to expand.

Undefined!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I took chemistry so I know

Y = ½(Z)

Step-by-step explanation:

Y = ½(Z)

Answer: 24

Step-by-step explanation:

m - 15 + 15 = 9 + 15

m = 24

Answer:

1. E

2. A

3. B

4. I

Step-by-step explanation:

EABI, try it out, comment if i get it right, i am so f**cking tired right now so sorry if its wrong

Answer:

4/5

Step-by-step explanation:

Convert 1 3/5 into improper fraction

1 3/5 -> 8/5

1/2x8/5= 8/10

8/10= 4/5

Answer:

i. The angle measure of Imogen's leftover should not be larger than [tex]98^{o}[/tex]

ii. The maximum number of slices that Imogen can fit is 2.

Step-by-step explanation:

The leftover in Madeline's box forms angle = 203°

The leftover in Tyra's box forms angel = [tex]59^{o}[/tex]

Sum of angles formed = 203° + [tex]59^{o}[/tex]

                                      = [tex]262^{o}[/tex]

Given that one box =  1 full circle of 360°. Then,

the angle formed by the leftover in Imogen's box = 360° - [tex]262^{o}[/tex]

                                                       = [tex]98^{o}[/tex]

Thus, the angle measure of Imogen's leftover slices should not be larger than [tex]98^{o}[/tex].

If each slice has an angle of [tex]40^{o}[/tex], the maximum number of slice that Imogen can fit = [tex]\frac{98}{40}[/tex]

          = 2 [tex]\frac{9}{20}[/tex]

          = 2.45

The maximum number of slices that Imogen can fit is 2.

Answer:

its most likely A

Step-by-step explanation:

Considering it goes at a steady rate with the second variable being reasonably scattered, the level of pure water would obviously go down not up,considering you are adding frogs. than again i havent really reached this degree of mathematics. But through reasoning i beleive it's A

Answer:

998, 1000, 1002

Step-by-step explanation:

Self explanatory, if you add the three numbers the sum is 3000.

Answer:

Step-by-step explanation:

Adjecent angle: Two angles that have the same vertex and one side in common.

Vertcial angle: Pairs of opposite angles formed by intersecting lines-- vertical angles have the same measure.

The answer is in the screenshot I hope I helped.

If you want to you can give me brainliest. (Your choice :D NO Pressure)

Answer:

d = -3

Step-by-step explanation:

-3 -9 = -12

-12/6

= -2