Kevin worked his 40 regular hours last week, plus 4 hours at the time-and-a-half rate. His gross pay was $756. What was his hourly rate?

Answer:

Step-by-step explanation:

A

Answer:

1239

Step-by-step explanation:

7434/6

Do long division

Oliver's number is bigger than that of Chen.

It is a number equal to 10 times 10.

Given is that Oliver and Chen both write down a number. Oliver says, my number has 8 hundreds and Chen's number only has 3 hundreds, my number must be bigger.

Oliver number can be written as follows -

8 x 10 x 10

Chens number can be written as follows -

3 x 10 x 10

It can be concluded that Oliver's number is bigger than that of Chen.

Therefore, Oliver's number is bigger than that of Chen.

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Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Answer:

-10 and 8?

Step-by-step explanation:

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-11)=4(x-(-3)}\)

Simplify.

\(\rm{y+11=4(x+3)}\)

Simplified to slope intercept:

\(\rm{y+11=4x+12}\)

\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation

Answer:

the measure of < RST is 21.70 degrees.

Step-by-step explanation:

If < HIK and < RST are complementary angles, it means that the sum of their measures is 90 degrees.

Let's denote the measure of < RST as x.

Given that the measure of < HIK is 68.30 degrees, we can set up the following equation:

68.30 + x = 90

To solve for x, we subtract 68.30 from both sides:

x = 90 - 68.30

Calculating the value:

x = 21.70

f=3s

f = the amount of flour

Hope this helps! :)

The value of P or solution of the inequality is determined as p ≤ 2/5.

The value of P or solution of the inequality is calculated as follows;

5/2p + 15/6p - (3 + 2p)/p ≥ 3

find the LCM of the denominators and multiply though by it;

LCM = 6p

15 + 15 - 6(3 + 2p) ≥ 18p

30 - 18 - 12p ≥ 18p

12 - 12p ≥ 18p

12 ≥ 18p + 12p

12 ≥ 30p

12/30 ≥ p

2/5 ≥ p

or p ≤ 2/5

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Answer:

b

Step-by-step explanation:

Answer:

Intital investment= £6,911.57

Step-by-step explanation:

Giving the following information:

Future Value (FV)= £8,001

Number of periods (n)= 3 years

Interest rate (i)= 5% = 0.05 compounded annually

To calculate the initial investment (PV) needed to reach £8,001 (over £8,000) in 3 years, we need to use the following formula:

PV= FV / (1+i)^n

PV= 8,001 / (1.05^3)

PV= £6,911.57

Cost when h=12 hours will be 7610

C(x)=20x+410

N(h)=30h

C(N(h))= 20 * 30h + 410

C(N(h))= 600h + 410

Cost when h=12,

600*12+410=7610

Answer:32?

Step-by-step explanation:

Answer:

54%

Step-by-step explanation:

Answer:

Step-by-step explanation:

oh u do ?

Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

Answer:2661615

Step-by-step explanation:

29573.5 is how many millimeters are in an ounce multiply that by 90 and you get 2661615

hope this helps

Answer:

you used two different types of things ounces measure mass and millimeters measure length

but I used google and it said 2.662e+6

Answer:

>

Step-by-step explanation:

Answer: >

Step-by-step explanation: Because 1/4 as a decimal is .25 and you can change the 0.4 to 0.40; they are the same thing. And .40 is greater than .25

Pat and John will meet in 3 hours.

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

here, we have,

How to calculate the value?

It should be noted that speed = Distance / Time

The appropriate equation will be:

80t + 24t = 312

104t = 312

t = 312/104

t = 3. hours

Therefore, it will take them 3 hours to meet.

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Answer:

can be sold for a total of $100

Step-by-step explanation:

We can do this, 8+12=20

20x5=100

So, we have to do...

20x5=100$

That means, that there can be 5 Tickets of Adults sold and 5 Tickets of children sold in total for 100 dollars.

Thanks!

Mark me brainliest!

~\(FieryAnswererGT\)~

The midpoint of segment YZ is (-a, -2b).

Given the coordinates of the rhombus WXYZ:

W(0, 4b)

X(2a, 0)

Y(0, -4b)

Z(-2a, 0)

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the coordinates of Y and Z:

Midpoint of YZ = ((0 + (-2a)) / 2, (-4b + 0) / 2)

= (-a, -2b)

Therefore, the midpoint of segment YZ is (-a, -2b).

To demonstrate that the segments joining the midpoints of the rhombus are perpendicular, we need to prove that the slopes of these segments are negative reciprocals of each other.

Let's consider the segments joining the midpoints:

Segment joining the midpoints of WX and YZ:

Midpoint of WX: ((0 + 2a) / 2, (4b + 0) / 2) = (a, 2b)

Midpoint of YZ: (-a, -2b)

Slope of WX = (2b - 4b) / (a - 0) = -2b / a

Slope of YZ = (-2b - (-4b)) / (-a - 0) = 2b / a

The slopes of WX and YZ are negative reciprocals of each other, indicating that these segments are perpendicular.

We have shown that the segments joining the midpoints of a rhombus are perpendicular to each other and have equal lengths. Therefore, these segments form a rectangle.

Additionally, the midpoint of segment YZ is (-a, -2b).

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Answer:

Just some background:

Congruent means that a triangle has the same angle measures and side lengths of another triangle.

SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.

Let's look at A first.

The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.

Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.

Therefore both triangles are the same by Side-Angle-Side or SAS.

Now look at B.

It's a right triangle. We are missing 1 side of each triangle.

Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).

so 2^2 + b^2 = 4^2

4 + b^2 = 16

b^2 = 16-4

b^2 = 12

That missing side is the \(\sqrt{12}\).

This does NOT match the triangle on the left.

Theses two triangles are NOT congruent.

Suppose \(f(x) =8^{3x\) and \(g(x) =8^{4x\), function operations that are correct include the following:

A. (f + g)(x) = \(8^{3x} + 8^{4x}\)

B. (f × g)(x) = \(8^{7x}\)

C. (f - g)(x) = \(8^{3x} - 8^{4x}\)

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:

(f × g)(x) = \(8^{3x+ 4x}=8^{7x}\)

(f ÷ g)(x) = \(8^{3x- 4x}=8^{-x}\)

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The average rate of change for the interval from x =  7 to x =  8 is 35.  

To calculate the average rate of change for the interval from x =  7 to x =  8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.

Let's calculate it step by step using the given table  

For the interval from x =  7 to x =  8  x1 =  7, y1 = -37  x2 =  8, y2 = -2   Difference in y- values Δy =  y2- y1 = -2-(- 37) =  35  

Difference inx-values Δx =  x2- x1 =  8- 7 =  1  

Average rate of change =  Δy/ Δx =  35/ 1 =  35  

Thus, the average rate of change for the interval from x =  7 to x =  8 is 35.   Note: It's important to mention that the values calculated then are grounded solely on the given data. Please  insure you  corroborate the  delicacy of the  handed data and  environment before using the answer in any important or critical  operations.

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Answer:

Step-by-step explanation:

Answer:

point form: (2,-1)

equation form: x=2,y=-1

Step-by-step explanation:

Answer:

X = 2 and y = -1

Step-by-step explanation:

add 3y to both sides of 2x = -3y + 1

2x + 3y = 1

5x + 7y = 3

multiply (2x + 3y = 1) by -5 and (5x + 7y =3) by 2

-10x - 15y = -5

10x + 14y = 6

-y = 1

y = -1

plug in y

2x = -3(-1) + 1

2x = 4

divide by 2

x = 2

Answer: x = $1.75

Step-by-step explanation:

Let's assume that the cost of each sparking plug is x dollars. Then, the cost of the fan belt is x + $1.75 since it costs $1.75 more than each sparking plug.

According to the problem, the total cost of four sparking plugs and a fan belt is $10.50. We can express this as an equation:

4x + (x + $1.75) = $10.50

Simplifying and solving for x, we get:

5x + $1.75 = $10.50

5x = $8.75

x = $1.75

Therefore, each sparking plug costs $1.75 and the fan belt costs $3.50 ($1.75 + $1.75).

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According to the question the height of Ruben’s school is 360 inches.

School is a place where students can learn and grow in their knowledge. It is a place where students can gain an education and become well-rounded individuals. School is a place where people can make friends, learn from each other, and explore new ideas and topics. School is a place where teachers and staff provide guidance to help students succeed in their academics and extracurricular activities.

To find the height of Ruben’s school using similar triangles and a mirror, we can use the following formula:
height of school / height of Ruben = distance from mirror to school / distance from mirror to Ruben
Plugging in the given values, we get:
height of school / 72 = 425 / 85
Cross-multiplying and solving for height of school, we get:
height of school = 72 x 425 / 85
height of school = 360 inches
Therefore, the height of Ruben’s school is 360 inches.

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Answer:

5 and 6.

Its 28/5 which is 5 3/5

5 3/5 is between 5 and 6