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Brrunno [24]
4 years ago
8

Plz Help Me With All Of The Problems Thx

Mathematics
1 answer:
love history [14]4 years ago
6 0

Answer:


Step-by-step explanation:

17. A board 8 1/4 wanting to be cut out of the board are a number of pieces each piece 1 3/4 long

Convert both 8 1/4 and 1 3/4

8 1/4 = Multiply the denominator(4) by the whole number(8) to get 32 then add it to the numerator(1) to get 33, then put it over the original denominator to get 33/4.  Do the same for the rest of the questions.

1 3/4 = 7/4

Divide 33/4 by 7/4 since we want to see how many times we can get 7/4 out of 33/4

33/4 ÷ 7/4

33/4 * 4/7,  Changing the division sign to multiplication changes the fraction or number after it to the inverse of itself 7/4 = 4/7

132/28 - simplify by dividing the numerator and denominator by 4

33/7 -  She will be able to cut 33/7 boards

Converting back to mixed fraction, divide the numerator by the denominator to give 4, write it as the whole number then write the remainder, 5, as the numerator and use the original denominator 7

= 4 5/7 boards


18. Total = 50

One serving = 1 1/3 = 4/3

50 ÷ 4/3

50 * 3/4

150/4 - simplify

75/2

= 37 1/2 servings


19. Saturday = 1 1/3 = 4/3

Sunday = 2 3/4 = 11/4

In a week, she watches 4/3 + 11/4 = 49/12 hrs

In 3 weeks, she watches 49/12 * 3 = 147/12- simplify = 49/4 hrs

= 12 1/4 hrs


20. Total = 10

Sister = 3 1/2 = 7/2

Brother 4 1/5 = 21/5

Total given out = 7/2 + 21/5 = 77/10

What's left = 10 - 77/10 = 7/3

= 2 1/3 lbs


21. One day = 4 1/4 = 17/4

One week = 7 days

17/4 * 7 = 119/4

= 29 3/4 houses




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Solving Linear Equations Unit Test 16 of 20Items Item 16 Gold has a density of 0.70 pounds per cubic inch and copper has a densi
mina [271]

Answer:

1 ft³ of gold will weigh 1209.6 pounds

1 ft³ of copper will weigh 559 pounds.

Step-by-step explanation:

We know the formula for:

Density = Mass/Volume

Hence, making mass the subject of the formula:

Mass = Density × Volume

From the question we are told:Volume of each metal = 1 ft³

1) Metal: Gold

Density of Gold = 0.70 pounds per cubic inch(lb/in³)

We convert the Volume of gold from ft³ to in³

The Volume of gold given in the question = 1 cubic foot = 1 ft³

1 cubic foot = 1728 cubic inches

Hence, the volume of Gold = 1728 in³

Mass of Gold = Density of Gold × Volume of Gold

Mass of Gold = 0.70Ib/in³ × 1728 in³

= 1209.6 lb(pounds)

2) Metal : Copper

Density of copper given in the question = 8.96 grams per cubic centimeter

Ib = pounds

We convert this density in g/cm³ to ib/in³

453.5g = 1 Ib

8.96g = a Ib

Cross Multiply

= 453.5g × a Ib =8.96g × 1 Ib

= a Ib = 8.96g × 1 Ib/453.5g

a Ib = 0.0197574421 Ib

Density of Copper = 0.0197574421 Ib/cm³

28,316.8 cm³ = 1 ft³

1 cm³ = b ft³

b ft³ = 1 cm³ × 1 ft³/28,316.8cm³

b ft³ = 0.0000353147 ft³

1 cm³ = 0.0000353147 ft³

We have to convert the density of Copper from Ib/cm³ to Ib/ft³

0.0197574421 Ib/cm³ = 0.0197574421 Ib/0.0000353147 ft³

559.46793026 Ib/ft³

Volume of copper = 1ft³

Mass = Density × Volume

Mass of copper = 559.46793026 Ib/ft³ × 1 ft³

= 559.46793026 Ib or pounds

≈ 559 pounds

Therefore , the weight of gold is 1209.6 pounds and the weight of copper will be 559 pounds.

3 0
3 years ago
1/3 of a number is X is equal to 22 less than the number write and solve an equation to find the answer
avanturin [10]

I believe the answer would be 66

7 0
4 years ago
A bag contains white marbles and red marbles, 16 in total. The number of white
Sonbull [250]

Answer:

11

Step-by-step explanation:

Let's call the white marbles w and the red marbles r. We can write:

w + r = 16 (1)

w = 3r - 4 (2)

3r - 4 + r = 16 (3) (Substitute (2) into (1))

4r = 20 (simplify)

r = 5 (divide by 4) which means w = 16 - 5 = 11

4 0
3 years ago
The length of a rectangular mailing label is
galben [10]

Let w be the width

Then the length is 2w - 2

We also know that the perimeter is 62 cm. The perimeter is the distance around the rectangle, or 2w + 2(2w - 2).

So, 2w + 2(2w - 2) = 62

2w + 4w - 4 = 62

6w = 66

w = 11

So, the length is 2w - 2 = 2(11) - 2 = 22 - 2 = 20

Length = 20 cm

Width = 11 cm


5 0
3 years ago
Find the surface area of this rectangular prism.​
Alexeev081 [22]

Answer:

Surface area of the rectangular prism= 168 yards^2

Step-by-step explanation:

Given Dimensions of the rectangular prism are:

Length(L)= 9 yards\\\\Width(w)=2 yards \\\\Height(H)= 6 yards

Surface Area of a rectangular prism=

                                          2(L*W+W*H+H*L)\\\\                                                           =2(9*2+2*6+6*9)\\\\                                                            =2(18+12+54)\\\\                                                             = 2(84)\\\\

                                    =168 yards^2

The surface area of the rectangular prism is 168 yards^2

5 0
4 years ago
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