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soldi70 [24.7K]

2 years ago

10

Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and surrounded by packaging material. The

total weight of the refrigerator, box, and packaging material was 205 pounds. What is the weight of the box and packaging material?

1 answer:

olganol [36]2 years ago

8 0

Answer:

13 lbs

Step-by-step explanation:

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Which is the graph of the linear inequality 2x – 3y < 12? On a coordinate plane, a solid straight line has a positive slope a

RoseWind [281]

Answer:

A dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

Step-by-step explanation:

To graph the solution set of the inequality 2x - 3y < 12, first plot the dashed line 2x - 3y = 12 (dashed because the inequality has sign < without notion "or equal to"). This line passes through the points (0,-4) and (3,-2) (their coordinates satisfy the equation of the line). this line has positive slope because

$3y=2x-12\\ \\y=\dfrac{2}{3}x-4$

and the slope of the line is 2/3.

Now, identify where the origin is (in the region or outside the region). Substitute (0,0) into the inequality:

$2\cdot 0-3\cdot 0=0$

This means coordinates of the origin satisfy the inequality, so origin belongs to the shaded region. Thus, shade that part which contains origin.

6 0

1 year ago

Read 2 more answers

Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?distribute –4 to get –8x 4 > 5 – 3x.distribute

Leviafan [203]

Answer:

Option A is correct.

The first step in solving the inequality is:

to distribute -4 to get $-8x + 4> 5-3x$

Step-by-step explanation:

The distributive property says that:

$a\cdot(b+c) =a\cdot b + a\cdot c$

Given the inequality:

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

Apply the distributive property we have;

$-4 \cdot (2x) -4\cdot (-1)> 5-3x$

Simplify:

$-8x + 4> 5-3x$

Therefore, the first step in solving the inequality is:

to distribute -4 to get $-8x + 4> 5-3x$

9 0

2 years ago

Read 2 more answers

A business breaks even when the production costs are equal to the revenue. The expression 120+4x represents the cost of producin

nika2105 [10]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item.

<u>The net income formula:</u>

y= (5 - 4)x - 120

(5-4)= contribution margin per unit sold (x)

120= fixed costs

<u>To calculate the break-even point in units, we need to use the following formula:</u>

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 120 / 1

Break-even point in units= 120 units

Prove:

y= 1*120 - 120

y= 0

5 0

1 year ago

A vehicle travels 250 feet every three seconds find the value of the ratio the unit rate and the constant of proportionality how

PSYCHO15rus [73]

to find the unit rate/constant of proportionality , you'd have to dive 250 by three. and they are related because they are the same thing.

8 0

1 year ago

Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca

timurjin [86]

Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;

For Iowa: μ = 24.5; σ² = 32.73; Range = 19

Step-by-step explanation:

Mean is the average of a population or a sample. It is defined as

μ = ∑x / n, where

x is each number of the set;

n is the total individuals in the sample.

Calculating the <u>Mean</u> for sample of taste of pizza in <u>California</u>:

μ₁ = $\frac{34+39+40+46+33+31+34+14+15+45}{10}$ = 33.1

Calculating the <u>Mean</u> for the sample in Iowa:

μ₂ = $\frac{28+25+35+16+25+29+24+26+17+20}{10}$ = 24.5

Variance measures how far the number in the set is from the mean. Its formula is

σ² = (∑x-μ)² / n -1

which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.

The <u>Variance</u> for the sample in <u>California</u> is

σ² = $\frac{(34 - 33.1)^{2}+(39-33.1)^{2}+(40-33.1)^{2}+(46-33.1)^{2}+(33-33.1)^{2}+(34-33.1)^{2}+(14-33.1)^{2}+(15-33.1)^{2}+(45-33.1)^{2}}{9}$ σ² = 120.50

The <u>Variance</u> for the sample in <u>Iowa</u> is

σ² = 32.73

Range is the difference between the highest and the lowest number of the set: range = highest - lowest

For the sample in <u>California</u>, the <u>Range</u> is

range = 46 - 14 = 32

For the sample in Iowa:

range = 35 - 16 = 19

For California:

Mean = 33.1;
Variance = 120.50;
Range = 32;

For Iowa:

Mean = 24.5;
Variance = 32.73;
Range = 19;

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6 0

1 year ago