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Kay [80]
3 years ago
8

Eva wants to make two pieces of pottery.She needs 3/5 pound of clay for one piece and 7/10 pound of clay for the other piece.She

has three bags of clay that weigh 4/5 pound each.How many bags of clay will Eva need to make both pieces of pottery?How many pounds of clay will she have left over
Mathematics
1 answer:
marta [7]3 years ago
6 0

Answer:

a) Eva will need 2 bags of clay to make both pieces of pottery.

b) She will have leftover \frac{11}{10} pounds of clay.

Step-by-step explanation:

Hi

a) We have to find the total amount of clay, as she needs \frac{3}{5}pound=P_{1} and \frac{7}{10}pound=P_{2}, so P_{1}+P_{2}= \frac{3}{5} +\frac{7}{10} =\frac{6+7}{10}=\frac{13}{10}pounds, is the total amount of clay. Then as we Know that one bag of clay has \frac{4}{5} =\frac{8}{10} pounds, It isn´t enough, but with two bags 2*\frac{8}{10}=\frac{16}{10}  pounds, It is enough clay.

b) She will have leftover \frac{16}{10} -\frac{13}{10} =\frac{3}{10}pounds of the second bag, then we add the third one, so \frac{3}{10} +\frac{8}{10} =\frac{11}{10}pounds are leftover.

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emmasim [6.3K]

Answer:

d = 40/7

Step-by-step explanation:

Solve for d:

0.544444 = 28/(9 d)

0.544444 = 49/90:

49/90 = 28/(9 d)

49/90 = 28/(9 d) is equivalent to 28/(9 d) = 49/90:

28/(9 d) = 49/90

Take the reciprocal of both sides:

(9 d)/28 = 90/49

Multiply both sides by 28/9:

Answer:  d = 40/7

5 0
3 years ago
Select the solution to the graph from the following points. Select all that apply.
stellarik [79]

Answer:

The solutions are:

(-15 , -4) ⇒ 1st

(3 , 2) ⇒ 3rd

(21 , 8) ⇒ 5th

Step-by-step explanation:

To find the solution of the graph let us make the equation of the line by using any two points on the line

The form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept (value y at x = 0)

The formula of the slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

From the figure

∵ The line passes through points (-3 , 0) and (0 , 1)

- Find the slope of the line

∴ m=\frac{1-0}{0--3}=\frac{1}{3}

- Substitute the value of m in the form of the equation

∴ y = \frac{1}{3} x + b

∵ b is the value of y at x = 0

∵ y = 1 at x = 0 ⇒ y-intercept

∴ b = 1

∴ y = \frac{1}{3} x + 1

Lets substitute the x-coordinate of each point to find the y-coordinate, if the y-coordinate is equal to the y-coordinate of the points, then the point is a solution

Point (-15 , -4)

∵ x = -15

∴ y = \frac{1}{3} (-15) + 1

∴ y = -5 + 1 = -4 ⇒ same value of the point

∴ (-15 , -4) is a solution

Point (-6 , 1)

∵ x = -6

∴ y = \frac{1}{3} (-6) + 1

∴ y = -2 + 1 = -1 ⇒ not the same value of the point

∴ (-6 , 1) is not a solution

Point (3 , 2)

∵ x = 3

∴ y = \frac{1}{3} (3) + 1

∴ y = 1 + 1 = 2 ⇒ same value of the point

∴ (3 , 2) is a solution

Point (12 , 9)

∵ x = 12

∴ y = \frac{1}{3} (12) + 1

∴ y = 4 + 1 = 5 ⇒ not the same value of the point

∴ (12 , 9) is not a solution

Point (21 , 8)

∵ x = 21

∴ y = \frac{1}{3} (21) + 1

∴ y = 7 + 1 = 8 ⇒ same value of the point

∴ (21 , 8) is a solution

6 0
3 years ago
Let x = hours spent babysitting on Saturday. Choose the equation that
Ne4ueva [31]

The equation that can be used to represent the situation given that x is the number of hours spent babysitting is 4(x + 8) = 56

<h3>How to write and solve equation</h3>

  • Amount paid per hour for babysitting =$4
  • Total amount made = $56
  • Hours spent babysitting on Sunday = 8 hours

Total earned babysitting on Sunday = Hours spent babysitting on Sunday × Amount paid per hour

= 8 × 4

= $32

Number of hours he babysat on Saturday = $56 - (8 × 4) ÷ 4

= 56 - 32 ÷ 4

= 24 ÷ 4

= 6 hours

  • check all that applies

A. 8x+4 = 56

8x = 56 - 4

8x = 52

x = 52/8

x = 6.5

B. 4x+8 = 56

4x = 56 - 8

4x = 48

x = 48/4

x = 12

C. 8(x + 4) = 56

8x + 32 = 56

8x = 56 - 32

8x = 24

x = 24/8

x = 3

D. 4(x + 8) = 56

4x + 32 = 56

4x = 56 - 32

4x = 24

x = 24/4

x = 6

Learn more about equation:

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6 0
3 years ago
Line k has a slope of 2/3. If line m is parallel to line k, then it has a slope of
Kaylis [27]
Line k is // to line m.

Slopes of // lines are equal.

Answer: 2/3
3 0
3 years ago
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dybincka [34]

Answer:

10:50

Step-by-step explanation:

3 0
3 years ago
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