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Marianna [84]
2 years ago
8

Dalia buys 20 collectible gems per month. Grace sells 10 gems from her collection of 120 each month. When will Dalia have more g

ems than Grace? Show your work.
Mathematics
1 answer:
4vir4ik [10]2 years ago
7 0

Answer: after 5 months

Step-by-step explanation:

Let x be the number of months it takes for Dalia to have more gems than Grace.

We can set up an inequality; the left side representing Dalia and the right side representing Grace

20x > 120-10x

We can add 10x to both sides:

30x > 120

We can divide both sides by 30:

x > 4

Therefore, after 5 months Dalia will have more gems than Grace.

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Claudia is making a candle by pouring melted wax into a mold in the shape of a cylinder. The radius of the cylinder’s base is 4
shusha [124]

17 wax cubes with volume of 27 cm³ each would be needed to make the candle with a volume of 452.16 cm³

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Volume of cylinder = π * radius² * height

Volume = π * 4² * 9 cm = 452.16 cm³

Volume of the cube = 3 cm * 3 cm * 3 cm = 27 cm³

Number of cubes needed = 452.16 cm³ / 27 cm³ = 16.75

17 wax cubes with volume of 27 cm³ each would be needed to make the candle with a volume of 452.16 cm³

Find out more on equation at: brainly.com/question/2972832

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6 0
2 years ago
What area of the clock is not covered with clock face in square inches
Kay [80]
Hello again,
We know that the clock has rectangular shapes, and the clock face is circle.
Area of the clock is:
15×8=120 square inches
To find the area of the circle:
πr^2. However, we did not know the radius yet, but we had circumference of the circle which is 6 inches
C=2πr
6=2πr
Divided 2 from both side
3=πr
Divide π or 3.14 from both side
r≈1 inches
Area of the clock face is:
1×1×3.14
≈3.14.
To find the area of the clock that does not covered with clock face take:
120-3.14=116.86 square inches. Hope it help!
8 0
3 years ago
From a rope 15m long, 4 1/3 m is cut off and 3/5 of the remaining is cut off again. Find the length of the remaining part of the
Eddi Din [679]
15 - 4 1/3 = 10 2/3
10 2/3 * 3/5 = 6 4/10
10 2/3 - 6 4/10 = 4 4/15

3 0
4 years ago
Vector V is shown in the graph below.
Lady_Fox [76]

Answer:

v = -8i - 6j

Step-by-step explanation:

The starting point is (9, 9)

The direction of the vector is the direction of the arrowhead.

The i is the horizontal component.

The j is the vertical component.

Therefore, to go from the start to the end of the line, we need to travel negative 8 units (horizontally) and negative 6 units (vertically).

Therefore, v = -8i - 6j

8 0
3 years ago
Read 2 more answers
Paton knows she will make a selection from 36 total possible outcomes. Which statement might describe what Paton is doing? Check
Crank

Answer: All but statement 1

Step-by-step explanation:

In order to get 36 as an outcome, the numbers need to multiply together in order to get 36. In other words, a*b*c*d*....= desired outcome number. In statement 1, 3*9=27, and therefore not 36 outcomes. The rest do multiply to 36.

4 0
3 years ago
Read 2 more answers
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