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My name is Ann [436]
2 years ago
10

Which is a correct first step in solving the inequality -4(2x - 1)> 5-3x?

Mathematics
2 answers:
Lunna [17]2 years ago
7 0

Answer:-4(2x - 1) > 5 - 3x

solution:

-4(2x) -4(-1) > 5 - 3x    Distribute -4 to get -8x + 4 > 5 - 3x

-8x + 4 > 5 - 3x

+3x             + 3x

-5x + 4 > 5

      - 4     -4

-5x        > 1

÷ -5         ÷ -5

   x        < - 1/5

sesenic [268]2 years ago
6 0

Answer:

A

Step-by-step explanation:

-4(2x - 1) > 5 - 3x

The first step would be to expand the brackets.

-4( 2x ) - 4( -1 ) > 5 - 3x

Distribute the -4 to 2x and -1 to get:

-8x + 4 > 5 - 3x

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The ratio of the number of miles Kyle drives to the number of hours he is driving is 468 to 9. What is Kyle's rate of speed? A)
mr_godi [17]

Answer:

the answer is 52

Step-by-step explanation:

you have to divide 468 by 9 and should get you too 52

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In a country where prices are rising quickly, bread that now costs $1.39 will cost 2.4 times as much next year. How much will th
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Answer:

$3.34

Step-by-step explanation:

$1.39 x 2.4 = $3.336

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Tim has an after-school delivery service that he provides for several small retailers in town. He uses his bicycle and charges $
nlexa [21]

Answer:

<em>$4.84</em>

<em></em>

Step-by-step explanation:

Given that

For delivery within 1\frac{1}2 mi, charges = $1.25

For delivery within 1\frac{1}2 mi - 1\frac{3}4 mi, charges = $1.70

For delivery within 1\frac{3}4 mi - 2 mi, charges = $2.15

and

so on.

i.e.

For delivery within 2 mi - 2\frac{1}4 mi, charges = $2.60

For delivery within 2\frac{1}4 mi - 2\frac{1}2 mi, charges = $3.05

For delivery within 2\frac{1}2 mi - 2\frac{3}4 mi, charges = $3.50

For delivery within 2\frac{3}4 mi - 3 mi, charges = $3.95

For delivery within 3 mi - 3\frac{1}4 mi, charges = $4.40

So, every 0.25 mi or \frac{1}4 mi increase in distance, there is an increase of $0.45 in the charges.

It is given that there is increase of 10% in the rates.

i.e. for every 0.25 mi increase in distance, there is an increase of 0.45*1.10 = $0.495 in the charges.

The distance of 3\frac{1}8 miles lies within the range 3 mi - 3\frac{1}4 mi.

So actual charges after increase of 10%

\Rightarrow \$4.40 \times \dfrac{110}{100}\\\Rightarrow \$4.40 \times 1.10\\\Rightarrow \bold{\$4.84}

6 0
2 years ago
Shiela is 1.7m tall. Her son is 109cm tall. How many meters taller is Shiela than her son?
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Shiela is 0.61 meters taller than her son.
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2 years ago
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You sell sporting goods. Your wages depend on the value of your sales. One week you sold $3,500 in sporting goods, earning $950.
Semmy [17]

Answer:

y = 0.2x + 250

Step-by-step explanation:

let the sales be x and y be earnings

thus,

given

x₁ = $3,500 ; y₁ = $950

and,

x₂ = $2,800 ; y₂ = $810

Now,

the standard line equation is given as:

y = mx + c

here,

m is the slope

c is the constant

also,

m = \frac{y_2-y_1}{x_2-x_1}

or

m = \frac{810-950}{\textup{2,800-3,500}}

or

m = 0.2

substituting the value of 'm' in the equation, we get

y = 0.2x + c

now,

substituting the x₁ = $3,500 and y₁ = $950 in the above equation, we get

$950 = 0.2 × $3,500 + c

or

$950 = $700 + c

or

c = $250

hence,

The equation comes out as:

y = 0.2x + 250

7 0
2 years ago
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