This Question: 6 pts A student worked 52 hr during a week one summer. The student earned $5.70 per hour for the first 40 hr and $8.55 per hour for overtime. How much did the student earn during the week?

Answer:

Harry made 9 resolutions.

Step-by-step explanation:

Tim made x resolutions.

Harry made five more, x + 5.

Harry and Tim's together was 13.

x + x + 5 = 13

combine like terms.

2x + 5 = 13

subtract 5

2x = 8

divide by 2

x = 4

Tim made 4 resolutions.

Harry made 4 + 5, that is, 9 resolutions.

Check:

Harry and Tim together is 13.

4 + 9 = 13

Harry made 9 resolutions.

Answer:  4

Step-by-step explanation:

2(12) + 6n ≥ 50

24 + 6n ≥ 50

6n ≥ 26

  n ≈ 4

The maximum number of tubes of paint that Kevin can buy is 4.

Answer:

He can make 4 tubs

Step-by-step explanation:

Answer:

I answered your duplicate question. Make sure to check out the answer, and I hope it helps!

Answer:

I think its D). but im not pretty sure.

Step-by-step explanation:

based on the formula given:

area: 8 x 8: 64cm²

1/3 x (64) x 9 : 192cm³

The width of the field is 230 feet and the length is 310 feet.

Let's denote the width of the field as "x" feet.

The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.

To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:

2(length) + 2(width) = perimeter

Substituting the given values:

2(x + 80) + 2(x) = 1080

2x + 160 + 2x = 1080

4x + 160 = 1080

4x = 920

x = 920/4

x = 230

Therefore, the width of the field is 230 feet.

Now we can find the length by adding 80 feet to the width:

Length = Width + 80 = 230 + 80 = 310 feet.

So, the width of the field is 230 feet and the length is 310 feet.

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The equation for the orange graph is the one in the last option:

f(x) = -3x³

We can see that the orange graph seems to be:

From the given options, the only one that matches all these options is the last one:

f(x) = -3x³

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Answer:

\(\begin{array}{|c|c|}\cline{1-2}\vphantom{\dfrac12} K & t\\\cline{1-2} \vphantom{\dfrac12} 1 & 0\\\vphantom{\dfrac12} 2 & 7.3\\\vphantom{\dfrac12} 3&11.6 \\\vphantom{\dfrac12} 4& 14.6\\\vphantom{\dfrac12} 6&18.9 \\\vphantom{\dfrac12} 8& 21.9\\\vphantom{\dfrac12} 10& 24.2\\\vphantom{\dfrac12} 12&26.2\\ \cline{1-2}\end{array}\)

See attachment for the graph.

Step-by-step explanation:    

Given equation for t:

\(t=\dfrac{\ln (K)}{0.095}\)

Substitute the given values of K into the equation for t and round the answers to one decimal place:

\(\begin{array}{|c|c|}\cline{1-2}\vphantom{\dfrac12} K & t\\\cline{1-2} \vphantom{\dfrac12} 1 & 0\\\vphantom{\dfrac12} 2 & 7.3\\\vphantom{\dfrac12} 3&11.6 \\\vphantom{\dfrac12} 4& 14.6\\\vphantom{\dfrac12} 6&18.9 \\\vphantom{\dfrac12} 8& 21.9\\\vphantom{\dfrac12} 10& 24.2\\\vphantom{\dfrac12} 12&26.2\\ \cline{1-2}\end{array}\)

To sketch the graph of the given function (see attachment):

Answer:

Step-by-step explanation:

4 feet = 48 inches, add 10 inches  = 58 inches

if susan is 15 inches shorter, 58- 15 = 43

43/12 = 3 feet 5 inches

Answer:

Step-by-step explanation:

The graph is attached.

Step-by-step explanation:

This will be an exponential function, which means it will be a smooth curve.

The y-intercept will be 35, since this is the starting population.

Since the population is increasing, the curve will increase as well.

Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)

Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).

Answer:

$20

Step-by-step explanation:

First you have to find how much for the least amount of money. So divide to get 9 and $4, which is the least. Now we multiply them by 5 to get 45 cards and $20. So the answer is $20

Answer:

7 in, 7 in, 7 in

12 in, 15 in, 25 in

2 in, 3 in, 4in

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's verify all the options.

Option A:

Option B:

Option C:

Option D:

This has to be true because this triangle is classified as an equilateral triangle, which is a triangle.

Hence, Option A, C, and D are correct.

Answer:

me

Step-by-step explanation:

Answer:

st math

Step-by-step explanation:

Answer:

a) (-1,0) and (3,0)

b) x=1

c) (1, -4)

Step-by-step explanation:

As you can see in the graph below, the x intercepts of this graph are at (-1,0) and (3,0), the axis of symmetry is x=1, and the vertex is at (1,-4). Hope this helps!

Answer:

12x + 3

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define expression

3(4x + 1)

Step 2: Expand

Steps:

3(4x+1)

=(3)(4x+1)

=(3)(4x)+(3)(1)

=12x+3

Description:

The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.

Since this was a small equation. It was easy to simplify, Steps are above. After that your answer will end up as =12x+3.

Answer: =12x+3

Hope this helps.

Answer:

Mean= $21.5067

Median = $15.8

Standard deviation= $19.02

Coefficient of skewness= $0.8991

Step-by-step explanation:

Mean =( $4.0 +$6.0 +$7.4+ $10.6 +$12.5+ $13.6+ $15.4+ $15.8 +$16.8

+$17.4+ $19.1 +$22.3+ $37.1 +$43.2 +$81.4)/15

Mean =$ 322.6/15

Mean= $21.5067

Median= middle number

Median = $15.8

Variance=( ($4.0-.$21.5)²+( $6.0. -.$21.5)²+( $7.4 -.$21.5)²+( $10.6 -.$21.5)²+( $12.5 -.$21.5)²+( $13.6. -.$21.5)²+ ($15.4 -.$21.5)²+( $15.8 -.$21.5)²+ ( $16.8 -.$21.5)²+ ($17.4-.$21.5)² +($19.1 -.$21.5)²+ ($22.3 -.$21.5)²+ ($37.1 -.$21.5)²+ ($43.2-.$21.5)²+( $81.4-.$21.5)²)/15

Variance=$ 5424.79/15

Variance=$ 361.65

Standard deviation= √ variance

Standard deviation= √361.65

Standard deviation= $19.02

Coefficient of skewness

=3( mean-median)/standard deviation

= 3(21.5-15.8)/19.02

= 3(5.7)/19.02

= 17.1/19.02

Coefficient of skewness= 0.8991

Answer:

a.

Step-by-step explanation:

\(d = \sqrt{( y _2 - y) {}^{2} + ( x_2 - x ) {}^{2} } \)

\(d = \sqrt{( - 1 - 4) {}^{2} + \sqrt{ - 4 + 1) {}^{2} } } \)

\(d = \sqrt{ - 5 {}^{2} +( - 3 {}^{2} )} \)

\(d = \sqrt{25 + 9} \)

\(d = \sqrt{34} \)

Answer:41

Step-by-step explanation:

Answer:

10 miles is the correct answer

Answer:

Pull terms out from under the radical, assuming positive real numbers.

0

Step-by-step explanation:

The value of \(log_35 \times log_{25}9\) is 1.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(log_35 \times log_{25}9\)

\(log_ab = \frac{logb}{loga}\)

So,

= log 5 / log 3 x log 9 / log 25

= log 5 / log 3 x log 3² / log 5²

\(logm^n = n~logm\)

So,

= log 5 / log 3 x log 3² / log 5²

= (log 5 / log 3) x (2 log 3 / 2 log 5)

= (log 5 / log 3) x (log 3 / log 5)

= 1

Thus,

1 is the value.

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Answer:

I don't understand make is more simplify

5+2+3+7+2=19:19 is the perimeter

Answer :

a) It is given that

Everyday a machine makes 500000 staples and puts them into the boxes.

The machine need 170 staples to fill a box

One box contans = 170 staples.

Total number of staples = 500000

Number of box required to fill 500000 staples = Total number of staples/No. of staples 1 box contains.

\( \: :\implies \) 500000 /170

\( :\implies \: \) 2941 (approx)

Therefore, 2941 boxes are required to fill with 500000 staples.

b) It is given that,

Each staple is made of 0.21 g of metal .

Total weight of metal = 1 kg = 1000 g

1 staple = 0.21 g

Number of staples = weight of metal/ Weight of 1 staple.

\( \: :\implies \) 1000/0.21

\( \: :\implies \) 4761 (approximately)

Therefore, 4761 staples can be made from 1 kg of the metal.

Answer:

8.7

Step-by-step explanation:

Use trigonometry. The ladder and the building form a right triangle with the ground. You are given the length of the hypotenuse and the base angle. You use sine since we are trying to figure out the opposite side from the angle and we have the hypotenuse length. Sin = opposite/hypotenuse. So in this case, sin 60°= x/10. We solve for x by multiplying both sides by 10. Now x= sin 60° (10) = (0.8660)(10) = 8.7 m.

Answer:

\(x=\frac{75}2\)

Step-by-step explanation:

Give letters, as in the attached image.

The triangles ABE and CDE are similars (AAA). In particular \(AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2\)

Answer:

x° = 41.8°

Step-by-step explanation:

Use trigonometric functions to calculate angles from side lengths.

sOH - cAH - tOA.

Sine:  Opposite/Hypotenuse
Cosine:  Adjacent/Hypotenuse
Tangent:  Opposite/Adjacent

sin(x°) = 4/6

\(x=sin^-1(\frac{2}{3} )\)

x° = 41.8°