In addition to an $80 bonus Joan earned eight dollars per hour working last week Joans total earnings last week or $240 how many total hours did she work last week

[tex]\mathsf{Given : Roger\;earns\;24\;Dollars\;a\;Week}\\\\\mathsf{Given : Roger\;spends\;\frac{1}{6}\;of\;his\;Earnings\;on\;Lunch}\\\\\mathsf{\implies Dollars\;he\;spends\;for\;Lunch = (\frac{1}{6} \times 24) = 4}[/tex]

[tex]\mathsf{Given : Roger\;Spends\;\frac{2}{3}\;of\;his\;Earnings\;on\;Music}\\\\\mathsf{\implies Dollars\;he\;spent\;on\;Music = (\frac{2}{3} \times 24) = (2 \times 8) = 16}[/tex]

[tex]\mathsf{Dollars\;remaining\;in\;Roger's\;Pocket\;after\;all\;his\;Spendings = [24 - (16 + 4)]}[/tex]

[tex]\mathsf{Dollars\;remaining\;in\;Roger's\;Pocket\;after\;all\;his\;Spendings = [24 - 20] = 4}[/tex]

Roger saves 4 Dollars!

Roger earns $24 weekly and spends 1/6 on lunch and 2/3 on music. Calculating these expenses, he spends $4 on lunch and $16 on music, totaling $20. Roger saves the remaining $4.

To find out how much Roger saves, we need to calculate these expenses and subtract them from his total earnings.

Adding the amounts spent on lunch and music: $4 + $16 = $20.

subtract the total expenses from his total earnings: $24 - $20 = $4.

Therefore, Roger saves $4 after his expenses on lunch and music.

Answer:

Prime number states that  a whole number greater than 1 whose only factors are 1 and itself.

For example; 2, 3, 5, 7 ,......

As per the statement: Vardan thought of a prime three-digit number, all the digits of which are different.

Let any three digit prime number Vardan thought is, 437 (all digits 4, 3, and 7 are different).

It is given that: if it is known that the last digit is equal to the sum of the first two digits.

⇒ Sum of first two digit = 4+ 3 = 7 which is equal to the last digit of a 3-digit number 437 i.,e 7.

Therefore, the last digit of a prime three-digit number (i.e 437) is, 7

Question

If the area of a square is 625 cm^2 then what is the length of one side of the square

Answer:

Step-by-step explanation:

The sides can be found by taking the square root of the area

√625 =

25 cm

---------------

check

Area = s²

25² = 625

the answer is good

Answer:

Step-by-step explanation:

The first dote should go on the 0 and the second dote should go on the two

Answer:

0.1(3x-4y)+0.7x-3y

0.1(3x-4y)+0.7x-3y   Distribute 0.1 through the parenthesis

0.3x-0.4y+0.7x-3y   Collect the like terms ex.(x,x) (y,y)

(0.3+0.7)x+(-0.4-3)y

    ↓                 ↓

   x            - 3.4 y

The answer is

X-3.4y

Step-by-step explanation:

Answer:

$18.71

Step-by-step explanation:

18.75 = P x .05 x .75

18.75 = P x .0375

18.75 - .0375 = P

$18.71 = P

Answer: 125.5 is the answer in decimal form. If you need it in fraction form it would be 251/2

To get this answer, you add up the parallel sides AB+DC = 69+182 =251

Then you divide by 2 leading us to get 251/2 = 125.5

The midsegment is basically the average of the two parallel sides

Answer:

a , b , c , or d, I t h I n k I t ccon fun sed8nh

The given equations have infinitely many solutions.

The given equations are y= -2x +9 and 6x + 3y =27

Comparing with the standard equations we can see that,

∴  [tex]\frac{a}{d} =\frac{2}{6} = \frac{1}{3}[/tex]

∴   [tex]\frac{b}{e} = \frac{1}{3}[/tex]

∴  [tex]\frac{c}{f} = \frac{-9}{-27}= \frac{1}{3}[/tex]

∴  The conditions of [tex]\frac{a}{d}= \frac{b}{e} = \frac{c}{f}[/tex] is satisfied  and hence the equations have infinitely many solutions.

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Answer:

f(3) = - 1

Step-by-step explanation:

to evaluate f(3) substitute x = 3 into f(x)

f(3) = - [tex]\frac{2}{3}[/tex] × 3 + 1 = - 2 + 1 = - 1

Answer:

f3 = -1

Step-by-step explanation:

to evaluate f(3) substitute x = 3 into f(x)

f(3) = - \frac{2}{3} × 3 + 1 = - 2 + 1 = - 1

The ladder with a length of 20 feet makes 1.37° with the ground.

Length of the ladder = 20 feet

Distance of base of the ladder from the wall = 4 feet

The cosine of an angle is the ratio of the adjacent side(to that angle) to the hypotenuse of the right triangle.

Suppose the ladder makes [tex]\theta[/tex] from the ground.

So, [tex]Cos\theta = \frac{4}{20}[/tex]

[tex]Cos\theta = \frac{1}{5}[/tex]

[tex]\theta =Cos^{-1} (\frac{1}{5} )[/tex]

[tex]\theta =Cos^{-1} 0.2[/tex]

[tex]\theta=1.37[/tex]°

Thus, the ladder makes 1.37° with the ground.

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The ladder makes an angle of approximately 76.31 degrees with the ground.

Given:

- The length of the ladder (hypotenuse) is 20 feet.

- The distance from the wall (adjacent side) is 4 feet.

Using the tangent function, we have:

[tex]\[ \tan(\theta) = \frac{\text{opposite side}}{\text{adjacent side}} \][/tex]

 Let h be the height the ladder reaches on the wall. Then:

[tex]\[ h^2 + 4^2 = 20^2 \] \[ h^2 = 20^2 - 4^2 \] \[ h^2 = 400 - 16 \] \[ h^2 = 384 \] \[ h = \sqrt{384} \] \[ h = 19.6 \text{ feet (approximately)} \][/tex]

Now we can find the angle [tex]\(\theta\)[/tex]:

[tex]\[ \tan(\theta) = \frac{h}{4} \] \[ \tan(\theta) = \frac{19.6}{4} \] \[ \tan(\theta) = 4.9 \][/tex]

To find the angle [tex]\(\theta\)[/tex], we take the arctangent (inverse tangent) of 4.9:

[tex]\[ \theta = \arctan(4.9) \] \[ \theta \approx 76.31^\circ \][/tex]

Therefore, the ladder makes an angle of approximately 76.31 degrees with the ground.

Answer: 10%, 0.5, 3/4

Step-by-step explanation:

What you want to do is convert them all to one unit. The eaisest would be a decimal.

Starting off with .5, it's already in decimal form.

Next go to 10%. 10% as a decimal will be 0.1, because its 1/10.

Lastly, go to 3/4. 3/5 as a decimal would be 0.75.

Putting them in order from least to greatest would be 10%, 0.5, 3/4.

(Hope that helps)

Answer:

10%, 0.5, 3/4

Step-by-step explanation:

This is actually quite simple, all you need is a quick calculation.

I'm going to convert all of the numbers to decimals for the easiest comparison.

put 3/4 into a calculator, and you get 0.75

0.5 is already a decimal

and with percents, you just move the decimal point back two, making it 0.1

Now you have an easy way to compare: 0.1 is the least, 0.5 is next, the 0.75 is the largest.

Hope this helps =D

Answer:

1, 2, 3, 6

Step-by-step explanation:

The given equation is,

[tex]\Rightarrow ax = 6[/tex]

[tex]\Rightarrow x = \dfrac{6}{a}[/tex]

We need to to find all the whole values of a for which the solution of the equation i.e x will be a whole number.

We know that when a number is divided by one of its factor it leaves a remainder of 0 or the result we get is a whole number.

That is why, we need a as one of the factors of 6, i.e 1, 2, 3, 6 in order to get x as a whole number.

Answer:

x=15/a+b/a

Step-by-step explanation:

a*x=15+b

you need to move all the variables (a) to one side and to do that you can re-organize it to say

x*a=15+b

to get the answer you need to divide (a) and that gets you your answer,

x=15/a+b/a

Here is your equation:

[tex]ax=15+b[/tex]

You're trying to find x alone. To find a specific variable, you have to do the opposite of what's happening to the variable, which is x in this equation.

In this equation, x is being multiplied by a. That means you have to do the opposite of multiplying, which is dividing by a. To leave x alone, divide both sides by a.

[tex]ax \div a = \frac{15+b}{a}[/tex]

Now that you have divided both sides by a, which leaves x alone, you have:

[tex]x = \frac{15+b}{a}[/tex]

Your answer is [tex]x = \frac{15+b}{a}[/tex]

If you have any questions, feel free to ask in the comments! :)

Answer: AFC won 18 times, NFC won 20 times

============================

N = number of times an NFC team won the superbowl

A = number of times an AFC team won the superbowl

The two unknown numbers (N and A) must add to 38 as there are no other options (either there is an NFC or AFC champion) so N+A = 38

The other equation is N = A+2 because "the NCF won two more games than the AFC"

We can replace the "N" in N+A = 38 with A+2 because N = A+2, meaning that N and A+2 are the same

So,

N+A = 38

A+2+A = 38  ... replace N with A+2; solve for A

2A+2 = 38

2A+2-2 = 38-2

2A = 36

2A/2 = 36/2

A = 18

The AFC won 18 times. Use this value of A to find N

N = A+2

N = 18+2

N = 20

The NFC won 20 times.

As a check, adding up the two counts should get us 38

N+A = 38

20+18 = 38

38 = 38

Answer is confirmed

Answer: 4 flour + 3 sugar = 44lbs

6 flour = 48lbs

We can divide 48lbs by 6 bags of flour to get 8lbs per bag of flour.

4 bags of flour multiplied by 8lbs is 32lbs. 44lbs - 32lbs = 12lbs

12lbs divided by 3 bags of sugar = 4lbs per bag of sugar.

The ratio is flour to sugar: 8:4 or 2:1

We create two equations based on the information given: 4F+3S=44 and 6F=48. By solving these equations, we find the weight of a bag of flour is 8 pounds and the weight of a bag of sugar is 4 pounds. Thus, the ratio of weight is 2:1.

We can solve this problem by setting up two equations based on the information given and then solve the equations to find the weights of the bags of flour and sugar. Let's denote the weight of a bag of flour as F and the weight of a bag of sugar as S.

From the second equation, we can find that F = 48 / 6 = 8 pounds. Substitute F = 8 into the first equation, we find S = 4 pounds.

Therefore, the ratio of the weight of a bag of flour to a bag of sugar is 8:4 or simplified to 2:1 (option a).

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The amounts of each type of fish that Noah is going to have in his tank are given as follows:

The quantity of each type of the fish listed in this problem that Noah will have in his tank is obtained applying the proportions in the context of the problem.

The total capacity of the tank is of 70 fish, hence for the amounts of each fish we multiply 70 by the decimal equivalent to each percentage.

Applying the proportions, the amounts are given as follows:

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Answer:

circle E & circle F

Step-by-step explanation:

We want to see which circles are congruent to circle A, a circle of radius of 6 units.

The correct options are E and F.

Let's see how to solve this:

First, we need to understand what congruent figures are.

We say that two figures are congruent if they have the exact same shape and size.

Then we need to see which other circles also have a radius (distance from the center to the line) is also of 6 units. (or a diameter of 12 units)

The image of the options can be seen at the end of the answer, there, we can see that circle E has a radius of 6 units, so we know that circle E is congruent to circle A.

We also can see that circle F has a diameter (twice the radius) of 12 units, then the radius is:

R = D/2 = 12/2 = 6 units.

Then circle F is also congruent to circle A.

Then the correct options are E and F.

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1 liter = 1.06 quarts.

This makes the liter greater than a quart.

Question

Express 16/2^1/2 as a power of 2

Answer:

Step-by-step explanation:

16/2^1/2 =

8/2 =

4

4 = 2²

express the equation in slope-intercept form: f(x) = mx + b.

Here's a general outline of the process we'll follow once I have the graph:

Identify key features:

Slope: Determine the slope of the line, which signifies the rate of change of the function. You can calculate it using the formula slope = (change in y) / (change in x) between any two points on the line.

Y-intercept: Locate the point where the line intersects the y-axis. This point is crucial for determining the function's vertical shift.

Apply slope-intercept form:

Once you have the slope (m) and y-intercept (b), express the equation in slope-intercept form: f(x) = mx + b.

Verify with points:

Choose a few points on the graph and substitute their coordinates into the equation to ensure it accurately represents the line.

Answer:

2 and 1/4 or 2.25. Both numbers are the same.

Step-by-step explanation:

Hi,

Please see the picture I had to upload in order for this question to be complete. Please also note that Kara has 3 buttons in the 3/4 length. You have to sum up only those in that length and ignore the ones in different lengths.

It is a very simple multiplication, and there are 2 ways to do so. You can use either fractions or integer numbers. See the 2 options below:

3/4 (fractions) = .75 (integer numbers)

Option one - 3 * 3/4 = 9/4 which is represented by 2 and 1/4.

Option two - 3 * .75 = 2.25

Have a good one!

Answer:

732.7 I think

Step-by-step explanation:

You just multiply 28 by 26.17

Answer:

26.17*28=723.76 inches

Why?

There is 28 desks and they are 26.17 inches long. If you line them all up you have 28 desks each 26.17 inches in a line. Which is 26.17*28. Multiple and you get 723.76

Answer:

The answer to number 7 is -1.25

The answer to number 8 is 1.25

Answer:

The amount you would earn is $64.80

Step-by-step explanation:

We know to start that you get 45% of the cost per customer. That's because the customer gives you 20% and you boss gives you 25% (1/4). To find how much that is, multiply it by the cost.

$18 * 45% = $8.10

Now knowing this, we can multiply that amount by the 8 customers per day.

$8.10*8 = $64.80

On a typical day, I can expect to earn $64.80 for myself.

To calculate my earnings for the day, we'll break it down step by step:

Shampoo, cut, and style cost: Each job's cost is $18.00.

Tips: I generally receive a 20% tip from each customer. To calculate the total tip earnings for the day, we multiply the job cost by 0.20 (20%):

Total tips = 8 customers * ($18.00 * 0.20) = 8 * $3.60 = $28.80

Salon owner's payment: The salon owner pays me ¼ of each job's cost. To calculate the total payment from the salon owner for the day, we multiply the job cost by 0.25 (1/4):

Total owner's payment = 8 customers * ($18.00 * 0.25) = 8 * $4.50 = $36.00

My earnings: Finally, to calculate my total earnings for the day, we sum up the tips and the salon owner's payment:

Total earnings = Total tips + Total owner's payment = $28.80 + $36.00 = $64.80

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Answer:

B. 3

Step-by-step explanation:

2(10 - d) + f

d = 7 and f = -3

Substitute these value in

2(10 - 7) + -3

2 * (3) -3

6 -3

3

Put the values of d = 7 and f = -3 to the expression 2(10 - d) + f

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

------------------------------------------------------------------------------

2(10 - 7) + (-3) = 2(3) - 3 = 6 - 3 = 3

Answer: a) (x, y) → (x + 1, y + 3)

              b) (2, -5) → (3, -2)

Step-by-step explanation:

the x-axis goes left and right, so 1 step to the right means you need to add 1 unit to the x-coordinate.

the y-axis goes up and down, so 3 steps up means you need to add 3 units to the y-coordinate.

Rule:

If original x-coordinate is x, then the new coordinate is x + 1 (x → x+1)

If original y-coordinate is y, then the new coordinate is y + 3 (y → y+3)

Final position:

If original x-coordinate is 2, then the new coordinate is 2 + 1 (2 → 3)

If original y-coordinate is -5, then the new coordinate is -5 + 3 (-5 → -2)