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3 years ago

1.Write this sentence as an equation.Do not solve it.

Mathematics

1 answer:

Ivahew [28]3 years ago

7 0

Problem 1

x = some unknown number

3x = three times a number

3x-7 = difference of three times a number and seven

2(3x-7) = two times the difference of three times a number and seven

2(3x-7) = x

The last equation is formed because the expression we built up is equal to the original number in question

<h3>Answer: 2(3x-7) = x</h3>

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Problem 2

Use the distribution rule to get

3(2x+4)-2x

3*2x+3*4-2x

6x+12-2x

From here, we combine like terms. That means we combine the 6x and -2x to get 4x

So 6x+12-2x simplifies to 4x+12 and not 16x

How did she get 16x? Possibly because she mistakenly thought she could add 4x to 12 to get 16x. This only works if the 12 had x attached to it.

In other words, this is valid: 4x+12x = 16x but this is not 4x+12 = 16x

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Problem 3

L = length = horizontal dimension = (d+15) ft

W = width = vertical dimension = (d-3) ft

P = perimeter of the rectangle = 108 ft

P = 2(L+W)

108 = 2(d+15+d-3)

108 = 2(2d+12)

108 = 4d+24

4d+24 = 108

4d = 108-24

4d = 84

d = 84/4

d = 21

The deep end is 21 feet long.

This means the overall horizontal length is d+15 = 21+15 = 36 feet and the the vertical width is d-3 = 21-3 = 18 feet

The overall dimensions of the rectangular pool are 36 ft by 18 ft

<h3>Answer: d = 21</h3>

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the total attendance at a concert in a theater hall was 1500, of this total 400 were children,850 were women , and the remaining

AleksandrR [38]

Answer:

Below!

Step-by step explanation:

We know that:

400 + 850 + m = 1500

Solution of Question A:

Percent of children: Total children/Total attendance

=> 400/1500
=> 4/15
=> 0.27 (Rounded to nearest hundredth)
=> 0.27 x 100
=> 27%

Hence, the percent of children is about 27%.

Solution of Question B:

Percent of women: Total women/Total attendance

=> 850/1500
=> 85/150
=> 17/30
=> 17/30 x 100
=> 17/3 x 10
=> 170/3
=> 56.67%

Hence, the percent of women is 56.67%.

Solution of Question C:

400 + 850 + m = 1500
=> 1250 + m = 1500
=> m = 1500 - 1250
=> m = 250

Percent of men: Total men/Total attendance

=> 250/1500
=> 1/6
=> 0.17 (Rounded to nearest hundredth)
=> 0.17 x 100
=> 17%

Hence, the percent of men is about 17%

Hoped this helped.

$BrainiacUser1357$

3 0

2 years ago

Which is the same as moving the decimal point 3 places to the right in a decimal number

BlackZzzverrR [31]

Answer:

Moving the decimal 3 places to the right in a decimal number is the same as multiplying the number by 1000.

8 0

3 years ago

Nick needs to raise at least $320 for his trip. He has $80 saved already, and he makes $40 per yard that he mows. Write and solv

Anestetic [448]

Answer: Nick must now at least 6 yards.

Step-by-step explanation:

Since Nick has $80 saved already, and he makes $40 per yard that he mows, thus can be put up in an equation as:

= 80 + 40y

where y = number of yards

Since Nick needs to raise at least $320 for his trip, the equation to solve this will be:

80 + 40x ≥ 320

40x ≥ 320 - 80

40x ≥ 240

x ≥ 240/40

x ≥ 6

Therefore, Nick must now at least 6 yards.

4 0

2 years ago

HELPPPPPPPPPPPPPPPPPP

Finger [1]

Answer:

Given expression : $\frac{9}{4}-2(4x+\frac{4}{3} )+\frac{5}{2}x$ ......[1]

Using distributive property: $a\cdot (b+c) =a\cdot b + a\cdot c$

[1]⇒ $\frac{9}{4} - 2(4x) - 2(\frac{4}{3})+\frac{5}{2} x$

Simplify:

$\frac{9}{4} - 8x - \frac{8}{3}+\frac{5}{2}x$

Like terms are those terms which are same variables.

Combine like terms: we get;

$(\frac{9}{4} - \frac{8}{3}) - 8x + \frac{5}{2}x$ ......[2]

$\frac{27-32}{12} -8x +\frac{5}{2} x$

Simplify:

$\frac{-5}{12} -8x +\frac{5}{2}x$

$\frac{-5}{12} - \frac{11}{2}x$

we can write equation [2] as;

$\frac{27}{12} - \frac{8}{3} - 8x + \frac{5}{2}x$

Combine like terms of x variables;

$\frac{27}{12} - \frac{8}{3} - \frac{11}{2}x$

Therefore, the expressions which are equivalent to the Given expression are:

$\frac{9}{4} - 2(4x) - 2(\frac{4}{3})+\frac{5}{2} x$

$\frac{-5}{12} -8x +\frac{5}{2}x$

$\frac{27}{12} - \frac{8}{3} - \frac{11}{2}x$

$\frac{-11}{2}x - \frac{5}{2}$

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3 years ago

Evaluate the expression for p = 4. 7p =

Lunna [17]

It is 28 use math way it helps

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