13. Rick Haskins is paid $18 an hour as a pastry chef for a regular 35-hour
week. His overtime rate is 1.5 times his regular hourly rate. This week
he worked his regular 35 hours plus 8 hours of overtime. What is
Rick's total pay?
Know?

Answer:$31,500

Step-by-step explanation:

To calculate the total amount Mario will pay, including the loan amount and interest, for the loan from First Bank of Trust, we need to calculate the interest and add it to the loan amount.

The formula to calculate simple interest is:

Interest = (Loan Amount) x (Interest Rate) x (Loan Length)

Let's plug in the values given:

Loan Amount = $25,000

Interest Rate = 6.5% (or 0.065 as a decimal)

Loan Length = 4 years

Interest = $25,000 x 0.065 x 4 = $6,500

Now, let's calculate the total amount Mario will pay:

Total Amount = Loan Amount + Interest = $25,000 + $6,500 = $31,500

Therefore, the total amount Mario will pay, including the loan amount and interest, for the First Bank of Trust loan is $31,500.

Answer:

the 3rd

Step-by-step explanation:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The standard deviation of the mileage for the sample of convertibles is 1.98977 miles.

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.

In order to determine the standard deviation, take the following steps:

(25 + 25 + 24 + 21 + 21 + 21 + 20) / 7 =22.43

(25 - 22.43)² = 6.6049

(25 - 22.43)² = 6.6049

(24 - 22.43)² = 2.4649

(21 - 22.43)² = 2.0449

(21 - 22.43)² = 2.0449

(21 - 22.43)² = 2.0449

(20 - 22.43)² = 5.9049

Sum of squared difference = 27.7143

√27.7143 / 7 = 1.98977

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Answer:

36

Step-by-step explanation:

80 * .45 = 36

Answer:There are 36 pop songs on your playlist

Step-by-step explanation:

Step-by-step explanation:

10:

\( \sqrt{50} = \sqrt{2 \times 25} = \sqrt{2} \times \sqrt{25} = \: 2 \times \sqrt{5} \)

11:

\( \sqrt{88} = \sqrt{4 \times 22} = \sqrt{4} \times \sqrt{22} = \: \: \: \: \: 2 \times \sqrt{22} \)

12:

\( \sqrt[3]{54} = \sqrt[3]{ {3}^{3} \times 2} = \sqrt[3]{ {3}^{3} } \times \sqrt[3]{2} = \: \: \: \: \: 3 \times \sqrt[3]{2} \)

Answer:

It's 10 times larger.

Step-by-step explanation:

If you just have 500,000, and the other one is 50,000, That means 50,000 x 10 is 500,000.

Answer:

9576

Step-by-step explanation:

Area of the triangle × height

(1/2×28×19)×36

Check the picture below.

Answer:

4361; see explanation and picture below.

Step-by-step explanation:

All your answers in red on the table to the right are correct, but they need to be placed in the boxes correctly.

You need to write one digit per box.

The table should look like this:

1 2 ▒

▒ 7 5

▒ 9 ▒

▒ 1 9

1  0 4

6 4 ▒

The numbers in the bold column are 2, 7, 9, 1, 0, 4.

They form the number 279,104.

The code is the quotient of that number and 64, so you divide that number by 64.

279,104/64 = 4361

Answer: 4361

See the picture below:

Applying the knowledge of similar triangles, the crack code is: 4,361.

If two triangles are similar, therefore, their corresponding sides are proportional, which means the ratios of their corresponding sides are the same.

a. ΔDEF is similar to ΔVRT, therefore:

15/37.5 = DE/30

Cross multiply

DE = (30 × 15)/37.5

DE = 12

b. ΔPAK is similar to ΔWNK, therefore:

62.5/45 = PK/54

Cross multiply

PK = (54 × 62.5)/45

PK = 75

c. ΔSFC is similar to ΔAFY, therefore:

36/(x + 6) = (22.4 + 16)/16

36/(x + 6) = 38.4/16

Cross multiply

(36)(16) = 38.4(x + 6)

576 = 38.4x + 230.4

576 - 230.4 = 38.4x

345.6 = 38.4x

345.6/38.4 = x

x = 9

d. ΔBNV is similar to ΔHZG, therefore:

20/(x - 1) = 30/(x + 8)

Cross multiply

20(x + 8) = 30(x - 1)

20x + 160 = 30x - 30

20x - 30x = -160 - 30

-10x = -190

x = 19

e. ΔEFC is similar to ΔKLM, therefore:

(x - 5)/(5x - 1) = 12/78

Cross multiply

78(x - 5) = 12(5x - 1)

78x - 390 = 60x - 12

78x - 60x = 390 - 12

18x = 378

x = 21

FE = 5x - 1 = 5(21) - 1

FE = 104

f. ΔMRT is similar to ΔARS, therefore:

(3x + 1)/80 = (3x - 7)/70

Cross multiply

70(3x + 1) = 80(3x - 7)

210x + 70 = 240x - 560

210x - 240x = -70 - 560

-30x = -630

x = -630/-30

x = 21

MT = 3x + 1 = 3(21) + 1

MT = 64

Numbers along the bolded column = 2, 7, 9, 1, 0, 4 = 279,104

The quotient of 279,104 and 64 = 279,104/64 = 4,361.

Thus, applying the knowledge of similar triangles, the crack code is: 4,361.

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Answer:

60, 61, 62

Step-by-step explanation:

Let's call our first integer n.

The other two, since they are consecutive, will be n+1, and n+2.

First number: n

Second number: n + 1

Third number: n + 2

The sum of these 3 will be:

\(n + (n+1) + (n+2)\\3n + 1 + 2\\3n + 3\)

We know that the sum, 3n+3, is equal to 183. Let's set these two equal to each other and solve the equation.

\(3n+3 = 183\)

Subtract 3 from both sides.

\(3n = 180\)

Divide both sides by 3.

\(n = 60\)

Now that we know n, we can find the values of all 3 integers.

First number, n:

n = 60

Second number, n+1:

n + 1 = 60 + 1 = 61

Third number, n + 2:

n + 2 = 60 + 2 = 62

Answer: 60, 61, 62

Answer:

D

Step-by-step explanation:

That is the answer because the first grid is in hundredths, so if you turn it into fractions you need to count the shaded parts. so it is 42/100 for the first one. Now because the second one is not in hundreths but in tenths, you make it into hundredths by multiplying 10 this will make the 3/10 into 30/100. Now that is fixed you just need to add 42/100 and 30/100 together which is 72/100. That is your final answer. D

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.

The graph of f(x) = 3x is a vertical stretch with a factor of 3 of the graph of the parent function f(x) = x.

The parent function for this problem is defined as follows:

f(x) = x.

The transformed function is given as follows:

f(x) = 3x.

The only transformation is a multiplication by the constant 3. As the constant has an absolute value greater than 1, the graph of f(x) = 3x is a vertical stretch with a factor of 3 of the graph of the parent function f(x) = x.

The problem asks for how the graph of f(x) = 3x compares to the graph of f(x) = x.

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As m ∠ COD = 90°, then the angle COD is a right angle.

According to geometry, angles are generated by semirrays with a common point. There are different kinds of angles concerning its measure:

Based on all the information given by the protractor, we find that the measure of the angle AOD is:

m ∠ COD = m ∠ AOD - m ∠ AOC

If we know that m ∠ AOD = 115 ° and m ∠ AOC = 25°, then the measure of the angle COD is:

m ∠ COD = 115° - 25°

m ∠ COD = 90°

As m ∠ COD = 90°, then the angle COD is a right angle.

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Answer:

Here are the angles in each quadrant with a common reference angle of 165°:

First quadrant: angle is 15° (subtract 165° from 180°)

Second quadrant: angle is 195° (subtract 165° from 180° and add the result to 180°)

Third quadrant: angle is 195° (subtract 165° from 180° and then subtract the result from 180°)

Fourth quadrant: angle is 195° (subtract 165° from 360°)

\(3x-5 +x = 31\\\\\implies 4x -5 = 31\\\\\implies 4x = 31 +5\\\\\implies 4x = 36 \\\\\implies x =\dfrac{36}4\\\\\implies x = 9\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

From left to right for the tables :

\(1) \: \: \: \: y = 4x + 2\)

And

\(2) \: \: \: \: y = 3x - 12\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

To find the solution we need to take equal above equations .

\(4x + 2 = 3x - 12\)

Subtract sides 3x

\( - 3x + 4x + 2 = - 3x + 3x - 12 \\ \)

\(x + 2 = - 12\)

Subtract sides 2

\(x + 2 - 2 = - 12 - 2\)

\(x = - 14\)

Thus the x-coordinate of the solution must be -14 which is just in the last option.

Thus the correct answer is the last one.

Done...

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Answer:

36.12 miles per hour

Step-by-step explanation:

if 186 miles =5hrs

so 1 hr = X

cross multiply

Answer:

Step-by-step explanation:

At least two sides have the same length.

At least two angles have the same measure.

The base angles (angles opposite the equal sides) have the same measure.

The altitude (perpendicular segment from the base to the vertex) bisects the base and the corresponding base angle.

The median (segment connecting the vertex to the midpoint of the base) is also an altitude, angle bisector, and perpendicular bisector of the base.

Based on these characteristics, the properties that belong to all isosceles triangles are:

At least two sides have the same length.

At least two angles have the same measure.

The base angles have the same measure.

Therefore, the correct options are:

At least two sides have the same length.

At least two angles have the same measure.

The base angles have the same measure.

Answer:

C

Step-by-step explanation:

i assume its
C.

The two plans will cost the same when Yolanda has driven 233 miles distance. That is, $70 + (0.30 x 233) = $233 = 0.80 x 233.

To find out how many miles Yolanda needs to drive for the two plans to cost the same, we need to set up an equation. The equation should calculate the total cost of each plan. For the first plan, the total cost is the initial fee plus the cost of the miles driven. For the second plan, the total cost is just the cost of the miles driven. We can then set the two equations equal to each other and solve for the number of miles distance driven. The final result is that Yolanda needs to drive 233 miles for the two plans to cost the same.

Plan 1: C = F + (D × CPM)

Plan 2: C = (D × CPM)

Plan 1 = Plan 2

F + (D × CPM) = (D × CPM)

F = 0

D × CPM = D × CPM

D = 233

Therefore, Yolanda needs to drive 233 miles for the two plans to cost the same.

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Given: a||c and b||c

Prove a||b

we know that

if two lines are parallel, then their slopes are equal

that means

If a||c and b||c

then

ma=mc and mb=mc

so

by the transitive property

if ma=mc and mb=mc

then

ma=mb

the slopes of the lines a and b are equal

therefore

lines a and b are parallel

Convert the percent to a decimal: according to the local weather report, the probability of rain in Boston on February 9 is 78% is 0.78%.

Probability is the measure of how likely an event is to occur. It is expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty. Probability theory is used to study random phenomena, such as the outcome of a coin toss or the results of an election. It is also used to make predictions about the future, such as whether it will rain tomorrow.

The probability of choosing a student selected for the AP math class is 13/40 (6 girls and 7 boys selected for the AP math class). Therefore, the probability of choosing a boy or a student selected for the AP math class is 32/40 (19 boys plus 13 students selected for the AP math class out of 40 students).

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The complete question is: According to the local weather report, the probability of rain in Boston on February 9 is 78%. What is 78% converted to a decimal?

Answer:

its 3/2

Step-by-step explanation:

Answer:

The mean time between logons is of 0.3333 minutes.

Step-by-step explanation:

Poisson process with an average of 3 logons per minute.

This means that the time between logons follows an exponential distribution, which mean is given by:

\(E(X) = \frac{1}{\lambda}\)

For this question, we have that \(\lambda = 3\), and thus:

\(E(X) = \frac{1}{\lambda} = \frac{1}{3} = 0.3333\)

The mean time between logons is of 0.3333 minutes.

Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive