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Vinil7 [7]
3 years ago
7

A bag is filled with small and large marbles. The ratio of small to large marbles is 1:3. On your own sheet of paper, draw a tap

e diagram to represent this situation. There are eight more large marbles than small marbles. On your diagram, how many marbles does each bar represent? [Type your answer as a number.]

Mathematics
2 answers:
tiny-mole [99]3 years ago
8 0
Tape diagrams are simple. Look at the picture I put in the comments
Anna11 [10]3 years ago
8 0

Ratio of Small to large marbles in the bag=1:3

It means ,number of small marbles in the bag will be multiple of 1 and number of Larger marbles in the bag will be multiple of 3.

So, number of small marbles be x and number of large marbles be 3x.

It is also given that, there are eight more large marbles than small marbles in the bag.

Expressing this statement in terms of equation

→3x=x+8

3x-x=8

2x=8

Dividing both sides by, 2 we get

x=4

Number of Small marbles =4 Marbles

Number of Large Marbles =4×3=12 Marbles

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Answer:

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8 0
3 years ago
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A school pays $1825 for 150 shirts. This includes the $25 flat-rate shipping cost. What equation models the total cost as a func
Dahasolnce [82]

Answer: 12n + 25

Step-by-step explanation:

Let x represent the amount that the school pays for ordering one shirt.

This includes the $25 flat-rate shipping cost. This means that if n shirts are ordered, the total cost including shipping would be expressed as

nx + 25

The school pays $1825 for 150 shirts. The expression would be

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Therefore, the equation that models the total cost as a function of the number of n T-shirts ordered is

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7 0
4 years ago
1. Sarah went to the farmers market because she needed 5 more apples for her Granny’s jam recipe. The recipe calls for 32 apples
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5+x=32
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6 0
3 years ago
Find the parallel and perpendicular slope of a line if linear equation is 7y=20(x-3) Slope (Parallel) is ____ Slope (Perpendicul
yKpoI14uk [10]

Answer:

The parallel line has slope \frac{20}{7}

The perpendicular line has slope -\frac{7}{20}

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope.

Parallel lines:

Parallel lines have the same slope.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

We have the following line:

7y = 20(x-3)

Placing it in the general format

7y = 20x - 60

y = \frac{20x}{7} - \frac{60}{7}

So this line has slope \frac{20}{7}

Parallel line:

Same slope, so the parallel line has slope \frac{20}{7}

Perpendicular line:

Multiplication of the slopes is -1. So

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20m = -7

m = -\frac{7}{20}

The perpendicular line has slope -\frac{7}{20}

6 0
3 years ago
If c(x) = 4x − 2 and d(x) = x² + 5x, what is (c.d)(x)?
snow_lady [41]

Answer:

4x^2+20x-2

Step-by-step explanation:

To find (c.g)(x) we basically use the function d(x) as your variable, x, and plug it into c(x). So we replace every x in c(x) with the function d(x), x^{2} +5x

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c(g(x))4x^2+20x-2

6 0
2 years ago
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