9. Put the following equation of a line into slope-intercept
form, simplifying all fractions.
2x + 3y = 15

Charlie paid $13.2 for the shorts after discount

The regular price of pair of shorts = $24

Discount during the sale on shorts = 45%

Discounts are price reductions that store owners make on items or services that are otherwise priced as marked. This portion of the rebate is typically provided to boost sales or get rid of excess inventory. The price of an item as stated by the manufacturer or seller, without any price reduction, is known as the List price or Marked Price.

Amount of discount = 45% of 24

= 45/100*24

= 10.8

Amount of shorts after discount = Regular price of shorts - Discount on shorts

= 24 - 10.8

Amount after discount = $13.2

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The statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7) is the graph of f(x) translated 7 units right.

The graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them.

According to the question we have

g(x)=f(x−7).

Given that f(x) then f(x + a) represents a horizontal translation of f(x).

If a > 0 then shift units left

If a < 0 then shift units right

Therefore, f(x - 7) represents a shift right of 7 units.

Hence, The statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7) is the graph of f(x) translated 7 units right.

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Answer: 1.5923926292577

Step-by-step explanation: Count, N: 14

Sum, Σx: 49

Mean, μ: 3.5

Variance, σ2:  2.5357142857143

Steps

σ2 =  

Σ(xi - μ)2

N

=  

(1 - 3.5)2 + ... + (6 - 3.5)2

14

=  

35.5

14

=  2.5357142857143

σ =  √2.5357142857143

=  1.5923926292577

Answer:

x = 7

Step-by-step explanation:

(10x - 2) and (9x + 5) are corresponding angles and are congruent , then

10x - 2 = 9x + 5 ( subtract 9x from both sides )

x - 2 = 5 ( add 2 to both sides )

x = 7

On selling 38 boxes daily without giving extra box will profit him one box daily

Profit: A profit occurs when you sell something. for more than it cost.  A business profit occurs when a business. makes more money than it spends.

Every purchase of 30 boxes gets 1 extra Free box. Rizky Sejahtera Bersama shop sells to its regular Warung Rp 38.000,-/box (without giving extra)

On selling 38 boxes daily without giving extra box will profit him one box daily

for two days if we add 38+38=76 boxes which profit him 2 boxes

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The probability that the sample mean would be greater than 101.5 gallons

P(x>101.5)=0.9382

This is further explained below.

Generally, From this population, a sample with the size n=38 is taken and analyzed.

Let's say that x is the sample's mean value.

It may be concluded that the sample distribution of the x-bar is about normal with

Mean =103

Standard deviation=0.9733

Now, the expression for the probability looked for is P(x>101.5)

[tex]=&\mathrm{P}\left[\left(\bar{x}-\mu_{\bar{x}}\right) / \sigma_{\bar{x}} > \left(101.5-\mu_{\bar{x}}\right) / \sigma_{\bar{x}}\right][/tex]

Where

P=Probabilty

x=mean

[tex]\mu[/tex] is population mean

[tex]\sigma[/tex]= Standard deviation

[tex]\\&=\mathrm{P}\left[\left(\bar{x}-\mu_{\bar{x})} / \sigma_{\bar{x}} > (101.5-103) / 0.97332852678\right]\right.\end{aligned}[/tex]

= P[Z > -1.54]

P(x>101.5)=0.9382

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The change received by Dawn will be equivalent to A = 14 + (d - b).

Estimation of a price is a reasonable guess of the actual value to make calculations easier and realistic.

Given is Dawn who bought a magazine for $6 and a book for [b] dollars. She paid for the items with a $20 bill and [d] dollars bills.

The total cost of magazines and books purchased by Dawn [C]= $6 + $b

The total money paid for these items [S] = $20 + d

Amount of change received by Dawn will be [A] = S - C

A = 20 + d - (6 + b)

A = 20 + d - 6 - b

A = 14 + (d - b)

Therefore, the change received by Dawn will be equivalent to A = 14 + (d - b).

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The number of minutes it takes for the earth to travel one full rotation around the sun is 529, 960

A proportion can simply be described as an equation in which varying elements, or given numbers are set equal to each other.

It is seen as  a mathematical method of comparing two elements or numbers.

It is also defined as a relation that entails comparison on the basis of size or magnitude of numbers, quantities or elements.

From the information given, we have that;

The earth travels for 365. 25 days round the sun.

If 24 × 60 minutes = 1 day

Then x minutes = 365. 25 days

cross multiply, we have;

x = 24 × 60 × 365. 25

Multiply the values

x = 529, 960 minutes

Hence, the value is 529, 960 minutes

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Answer:

Your answer is [tex]\frac{1}{864}[/tex]

Step-by-step explanation:

[tex]4^{-1}[/tex] ÷ [tex]6^{3}[/tex] [tex]= 0.0011574074[/tex] or [tex]\frac{1}{864}[/tex]

The percent recovery of benzoic acid is equal to 80.0 if the mass of purified benzoic acid after recrystallization is 1.611 g.

The percent recovery can be described as the amount of a product available after its production and purification.

The percent recovery of benzoic acid can be calculated by using the following formula:

percent recovery of sample = (Mass of purified sample ÷ Mass of contaminated sample) × 100

Substituting the given values of contaminated and purified benzoic acid in this equation;

percent recovery = (1.611 ÷ 2.014) × 100

percent recovery = 0.7999 × 100

percent recovery = 79.99

Rounding it to the nearest tenth;

percent recovery = 80.0

Hence the percent recovery of benzoic acid is calculated to be 80.0

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At (9, 0), the graph of the equation y = - 2/3 x + 6 intersect the x - axis.

How to create linear equation using two variables?
If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Such an equation has a pair of numbers as its solution, one for x and one for y, which further equalizes the two sides of the equation. A specific point on the graph represents the solution of a linear equation in two variables, ax + by = c, where the total of these two values will equal c when the x-coordinate is multiplied by a and the y-coordinate by b. Basically, there are infinitely many solutions to a linear equation with two variables.
The linear equations can be solved using substitution method.

Given, the equation of the graph is : y = (-2/3) x + 6 -(i)
Also, the equation of x-axis is: y = 0 -(ii)
Substituting (ii) in (i), we get,
0 = (-2/3)x + 6 ⇒ (-2/3)x = -6 ⇒ (2/3)x = 6 ⇒ x = 9
Thus, the point where the graph of the equation y = - 2/3 x + 6 intersect the x - axis is (9, 0).

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Answer:

u = -40

Step-by-step explanation:

20 = -u/2

multiply both sides by 2:

2(20) = 2(-u/2)

-u = 40

divide both sides by -1:

-u/-1 = 40/-1

u = -40

Answer:

Product: 2091

Estimate: 2100

Step-by-step explanation:

Estimate 697 as 700

700 x 3 = 2100

Find Product

697 x 3 = 2091

The equation of the line that passes through (0, -3) and parallel to a line with slope 2 is y = 2x - 3

From the question, we are to determine the equation of the line.

From the given information, the line passes through (0, -3) and is parallel to a line with slope 2.

NOTE: If two line are parallel, then their slopes are equal

Thus,

The slope of the line is 2

Using the point-slope form of the equation of a line,

y - y₁ = m(x - x₁)

Where m is the slope

Then,

y - -3 = 2(x - 0)

y + 3 = 2x

y = 2x - 3

Therefore,

The equation is y = 2x - 3

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[tex] a \times - b - c \\ =(5) \times - ( - 9) - ( - 32) \\ = 5 \times 9 + 32 \\ = 45 + 32 \\ = 77[/tex]

ATTACHED IS THE SOLUTION

Answer:

-77

Step-by-step explanation:

we replace a=5, b=-9, c=-32

5 * -9 - 32

-45 - 32

- 77

There are 18 combinations that Lisa can wear by shuffling skirts, sweaters, and blouses together.

Given,

Number of skirts = 3

Number of sweaters = 2

Number of Blouse = 3

By using permutation and combination formula nCr = n! ÷ (r! (n-r)!),

3C1 × 2C1 × 3C1

= (3!) ÷ ((3-1)! × 1!) × (2!) ÷ ((2-1)! × 1!) × (3!) ÷ ((3-1)! × 1!)

= (3!) ÷ ((2)! × 1!) × (2!) ÷ ((1)! × 1!) × (3!) ÷ ((2)! × 1!)

= ((3 × 2 × 1) ÷ (2 × 1 × 1)) × ((2 × 1) ÷ (2 × 1 × 1)) × ((3 × 2 × 1) ÷ (2 × 1 × 1))

= (6 ÷ 2) × (2 ÷ 1) × (6 ÷ 2)

= 3 × 3 × 2

= 18

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Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5+5=10

Answer:

15

Step-by-step explanation:

Answer: 11/3

Step-by-step explanation:

1. Distribute the 8: 16x + 24x + 16 = 4x + 148

2. Combine like terms: 40x + 16 = 4x + 148

3. Get the x by itself: 36x = 132

4. Divide by 36: x = 11/3

Answer:

R ≈ 3.97 %

Step-by-step explanation:

The cost of each bottle of juice is $0.51.

The tape diagram can be used to illustrate the relationship between the numbers that are given.

Let the cost of each bottle of juice be x.

In this case, she bought a bag of oranges for $2.19 and a 12-pack of juice bottles and the total cost before tax was $8.31.

This will be:.

2.19 + 12x = 8.31

Collect like terms

12x = 8.31 - 2.19

12x = 6.12

Divide

x = 6.12 / 12

x = 0.51

The cost is solved. Note that the tape diagrams weren't given but the.coat is solved accordingly.

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Let X represent the number of defects.

When n=20 and p = 0.01,

Likelihood = P(Acceptance) = P(X=0) + P(X=1)

= 20C0 * (0.01)^0 * (1-0.01)^(20) + 20C1 * (0.01)^1 * (1-0.01)^(20-1) = 0.9831

When n=20 and p = 0.02,

Likelihood = P(Acceptance) = P(X=0) + P(X=1)

= 20C0 * (0.02)^0 * (1-0.02)^(20) + 20C1 * (0.02)^1 * (1-0.02)^(20-1) = 0.9401

When n=20 and p = 0.05,

Likelihood = P(Acceptance) = P(X=0) + P(X=1)

= 20C0 * (0.05)^0 * (1-0.05)^(20) + 20C1 * (0.05)^1 * (1-0.05)^(20-1) = 0.7358

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-11 degrees is the expected daytime temperature for today

The daytime temperature yesterday in Montana = -4.5 degrees

Expected temperature drop today = 6.5 degrees

The term "temperature" describes how hot or cold the atmosphere is and is measured with a thermometer. Temperature is reported by meteorologists in both Celsius (C) and Fahrenheit (F).

Today's expected daytime temperature:

The daytime temperature yesterday in Montana + Expected temperature drop today

But since the temperature of yesterday is negative we will use a negative sign to add the expected temperature of today. A drop in temperature will lead to a more cold temperature

= -4.5 + (-6.5)

= -11 degrees

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Part A:

Add all the values:

Convert the oz into pounds:

1oz = 16 pounds

Divide each value by 16:

55 oz = 55/16 = 0.3125 pounds

11 oz = 11/16= 0.6875 pounds

14 oz = 14/16 = 0.875 pounds

1 pound = 1 lb

3 3/4lb= 3.75 lb

2 1/4 = 2.25 lb

2lb

Now add:

Total weight = 3.75 + 0.3125+ 2.25+0.6875+0.875 = 7.875 lb