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Dmitriy789 [7]
3 years ago
5

Natasha, Mark and Henry share some sweets in the ratio 7:3:2. Natasha gets 75 more sweets than Henry. How many sweets are there

altogether?
Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0

Answer:

180

Step-by-step explanation:

Given the ratio = 7 : 3 : 2 = 7x : 3x : 2x ( x is a multiplier ), then

7x = 2x + 75 ( Natasha gets 75 more sweets than Henry )

Subtract 2x from both sides

5x = 75 ( divide both sides by 5 )

x = 15

Thus

total number of sweets = 7x + 3x + 2x = 12x = 12 × 15 = 180

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3 years ago
Pls help me with this
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Answer:

x = 1.5

Step-by-step explanation:

Given

\frac{x}{2} \geq 0.75

\frac{x}{2} < 2.5

Required

Find the value of x.

First, the inequalities need to be rewritten and merged;

if \frac{x}{2} \geq 0.75, then

0.75 \leq \frac{x}{2}

Multiply both sides by 2

2 * 0.75 \leq \frac{x}{2} * 2

1.5 \leq x

Similarly;

\frac{x}{2} < 2.5

Multiply both sides by 2

2 * \frac{x}{2} < 2.5 * 2

x < 5

Merging these results together; to give

1.5 \leq x < 5

This means that the range of values of x is from 1.5 to 4.9999....

From the question, x is the smallest rational number; from the range above (1.5 \leq x < 5), the minimum value of x is 1.5 and 1.5 is a rational number;

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4 0
2 years ago
10) Gabe put up a fence around his rectangular vegetable garden this weekend.
dybincka [34]

Answer:

The length is 16 ft, and the width is 3 ft.

Step-by-step explanation:

Let L = length & let W = width.

The perimeter of a rectangle is

P = 2(L + W)

The area of a rectangle is

A = LW

We know the perimeter and the area, so we substitute those values int he equations above and we switch sides in both equations.

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Divide both sides by 2:

L + W = 19

Area: LW = 48

We have a system of two equations in two unknowns:

L + W = 19

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Solve the first equation for L and substitute it into the second equation.

L = 19 - W

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Answer: The length is 16 ft, and the width is 3 ft.

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