Dwayne earns $11.45 per hour. Last week he worked 38-1/4 (mixed number) hours. How much did he earn last week?
Okay this is simple.
We willl use this equation
$11.45×38.25=X
If you do this problem you should get $437.96 as an answer
*Remember that fractions can be changed to decimals. Fractions mean division.
A new sidewalk will be 5 feet wide, 240 feet long, and filled to a depth of 9 inches (0.75) with concrete. How many cubic yards of concrete are needed?
In order to build the sidewalk, they would need around 33 yrds^3 of concrete. This is because the problem is asking for the volume of the sidewalk. First, we need to convert everything into yards. The final answers we would get would be (5/3) (80) and (0.25). If we were to use the formula for volume, it would be V=lwh. With that incorporated, the answer would be 33.3333333 yrds^3 of concrete to be exact.
The volume of the sidewalk can be calculated using the formula for the volume of a rectangular prism, V = length x width x depth. The volume in cubic feet is then converted to cubic yards as concrete is sold in cubic yards. Therefore, approximately 33.3 cubic yards of concrete are needed for the sidewalk.
Explanation:To calculate the amount of concrete needed for a sidewalk, we first need to find the volume of this sidewalk in cubic feet and then convert it to cubic yards because concrete is usually sold in cubic yards. The given dimensions of the sidewalk are 5 feet wide, 240 feet long, and a depth of 0.75 feet (9 inches).
The volume (V) of a rectangular prism (which in this case is the sidewalk) can be calculated using the formula V = length x width x depth. Therefore, V = 5 ft (width) x 240 ft (length) x 0.75 ft (depth) which gives us 900 cubic feet.
Next, we need to convert cubic feet to cubic yards because concrete is sold in cubic yards. One cubic yard is equivalent to 27 cubic feet. Therefore, the volume of concrete in cubic yards is 900 cubic feet ÷ 27 = 33.3 cubic yards. So, you will need approximately 33.3 cubic yards of concrete to build this sidewalk.
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if 14 giant solar power plants generate 2.6 gigawatts of energy to power 1.8 million homes how many homes can 28 solar panels power
Doubling the number of giant solar power calculation plants from 14 to 28 would theoretically power double the number of homes, which is approximately 257,142 homes.
If 14 giant solar power plants generate 2.6 gigawatts of energy to power 1.8 million homes, we can calculate the number of homes that 28 solar panels can power by first determining the number of homes one plant can supply energy for.
Powering 1.8 million homes with 14 plants means each plant powers 1.8 million / 14 = 128,571 homes approximately.
If we assume a direct scale-up, doubling the number of solar power plants to 28 would theoretically double the number of homes that can be powered, hence 28 plants would power 128,571 homes × 2 = 257,142 homes approximately.
However, the question seems to have a typo because usually power capacity is specified for power plants and not individual solar panels.
So, doubling the number of solar panels, not power plants, wouldn't necessarily mean doubling the total power capacity because individual solar panels have a much smaller capacity than an entire power plant.
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What could you do to describe the following data, showing temperatures for the week? (Check all that apply.)
Mon - 65°
Tues - 67°
Wed - 66°
Thur - 70°
Fri - 72°
Sat - 68°
Sun - 69°
Construct a line graph.
Find the mean, median, mode, and range.
Construct a stem-and-leaf plot.
Survey people about the weather.
Hi!
Here is the leaf plot:
6 ║ 5, 6, 7, 8 , 9
7 ║0, 2
PLEASE help me and PLEASE show the work PLEASE.
20(4×-2)
________
(4 - (-2))²
simplified;
20(-8)
_____
(6)²
simplified;
-160
______
36
simplified;
-4 16/36
simplified;
-4 4/9
Given the graph of a line y=−x. Write an equation of a line which is perpendicular and goes through the point (8,2).
Answer:
y = x - 6
Step-by-step explanation:
The slope of y = -x is -1, so the slope of any line perpendicular to y = -x is +1. Thus,
y = mx + b becomes 2 = 1(8) + b, so that b = -6.
The desired equation is y = x - 6.
Check: Does (8,2) lie on this line? Is 2 = 8 - 6 true? YES.
Answer:
Y=X-6
Step-by-step explanation:
JOOOHNNNNN CENNAAAAA
Write an expression for the perimeter of the triangle shown below: A triangle is shown with side lengths labeled 2.3x plus 14, 2x, and negative 0.2x plus 15.
A: 4.1x + 29
B: 4.1x - 29
C: 4.5x+ 29
D: 4.5x -29
Answer:
A because you can only add values with the same variable. You add 2.3x plus 2x which gives you 4.3x then you subtract .2x which gives you 4.1. Lastly you add 15 and 14 which gives you 29
Step-by-step explanation:
3 over 4+(-2 1 over2)
¾ + ( - 2 ½) = - 1 ¾
1. Margot hiked around lake C each day. How many miles did she hike in 12 days?
2. Keenan hiked 15 times as far as Margot. How far did Keenan hike?
1. 252 beacuse 21 x 12= 252
2. 3780 Now 252 x 15=3780
Using the multiplication operation, the number of miles hiked by Margot and Kennan are 252 miles and 3780 miles respectively
The approximate distance around Lake C = 21 miles
Number of hiking days = 12
Hence, the number of miles hiked by Margot will be :
21 × 12 = 252 milesKeenan hiked 15 times as far as Margot :
Margot's mile × 15 Keenan's distance = 252 × 15 = 3780 milesTherefore, the Number of miles hiked by Margot and Kennan are 252 miles and 3780 miles respectively
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What are the x and y intercepts of the line 3x-4y=12
x-intercept = 4, y-intercept = - 3
to find the intercepts, that is where the graph crosses the axes
let x = 0, in the equation for y- intercept
let y = 0, in the equation for x- intercept
x = 0 : - 4y = 12 ⇒ y = - 3 ⇒ (0, - 3) ← y - intercept
y = 0 : 3x = 12 ⇒ x = 4 ⇒ (4, 0 ) ← x- intercept
Hey there...
So this is a tough question.....
Let's start with the x first, then we will go to y.
So, here is the x.
Explanation: To find the x intercept, make the y = (0). Since we know that x needs 0 for the y coordinate.
3x-4(0)=12
x=4.
So the intercept for x = 4.
Now we have to do the y.
Explanation: To find the y, make x = (0), since know that y needs 0 in the front of the number.
3(0)-4y=12
y=-3
So the y = -3.
Hope this helps.....
Denise rented a bike for $12 for a month.She earned $31 a week for delivering newspapers. How much money did denise have if she delivered newspapers for 3 weeks
Answer:
Denise made $57
Step-by-step explanation:
$12 * 3 = $36
$31 * 3 = $93
$93 - $36 = $57
If interest compound at 20% per year how long will it take 50000 to accumulate to 86400
To find the time it takes for an amount to accumulate with compound interest, we can use the formula A = P(1 + r/n)^(nt). In this case, it will take approximately 2.56 years for $50000 to accumulate to $86400 with a 20% compound interest rate.
Explanation:To find the time it takes for an amount to accumulate with compound interest, we can use the formula:
A = P(1 + r/n)^(nt)
where:
A is the final amountP is the principal (initial amount)r is the interest rate (in decimal form)n is the number of compounding periods per yeart is the time in yearsIn this case, we have:
50000(1 + 0.20/1)^(1*t) = 86400
Dividing both sides of the equation by 50000, we get:
(1 + 0.20)^t = 1.728
Using logarithms, we can solve for t:
t = log(1.728) / log(1.20)
t ≈ 2.56
Therefore, it will take approximately 2.56 years for $50000 to accumulate to $86400 with a 20% compound interest rate.
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An airplane started at 0 feet. It rose 21000 feet at takeoff. It then descended 4329 feet because of clouds. After the oncoming plane passed, it descended 8453 feet, at what altitude was the plane flying?
The fact that an oncoming plane passed is irrelevant to what we need to find, so we can ignore that.
The math statement it's asking you to solve is this:
0+21000-(4329+8543)
The reason we are adding 4329 and 8543 is to make it easier on the subtraction. Since both of those terms are being subtracted, we can combine them to make our problem one step shorter.
After simplifying the parentheses, we get:
21000-12872
After this it becomes simple subtraction to find the answer.
8128 is the answer, so your answer would be:
The plane is now flying at an altitude of 8,128 feet.
Answer:
Ur answer is
The plane was flying at 8,218 feet altitude
Step-by-step explanation:
This is easy u start off with 21,000 then subtract as needed
21,000-4329=16,671
16,671-8,453=8,218
So ur answer is 8,218
find the derivative of x2/8-8x
[tex]h(x)=\dfrac{x^2}{8-8x}\\\\h'(x)=\left(\dfrac{x^2}{8-8x}\right)'\\\\\text{use}\ \left(\dfrac{f(x)}{g(x)}\right'=\dfrac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}\\\\f(x)=x^2\to f'(x)=(x^2)'=2x\\\\g(x)=8-8x\to g'(x)=(8-8x)'=-8\\\\\text{substitute}\\\\h'(x)=\dfrac{2x(8-8x)-x^2(-8)}{(8-8x)^2}=\dfrac{16x-16x^2+8x^2}{(8-8x)^2}=\dfrac{16x-8x^2}{(8-8x)^2}[/tex]
Type the integer that makes the following subtraction sentence true:
9 - ? = 17
There was a beautiful Japanese garden. Within the garden, there is a pond. Since the beginning of summer, lilies have started to cover more and more of it with every passing day. In fact, the quantity of lilies doubles every day. By day 58, the entire pond will be covered. How many days will it take the lilies to cover half the pond?
Answer:
57 days
Step-by-step explanation:
Given that there was a beautiful Japanese garden.
Also given that within the garden, there is a pond.
Since the beginning of summer, lilies have started to cover more and more of it with every passing day.
In fact, the quantity of lilies doubles every day.
By day 58, the entire pond will be covered.
Since given that every day lilies double, we find that if on 58th day it was full, then exactly one day before it should be 1/2 of pond. In that case only, on 58th day pond can become full.
Hence half pond is filled with lilies in 57 days.
What is the cube root of a number x is denoted by ?
[tex]\sqrt[3]{x}[/tex]
The cubed root of x is written as:
[tex]\sqrt[3]{x}[/tex]
FYI: You need THREE like terms on the inside of the radical to move the term to the outside.
Can anyone help me? I would really appreciate it. Thanks in advance.
∠AKJ ≅ AIH because they are corresponding angles
60° = AIH by substitution
ΔAIH
∠A + ∠I + ∠H = 180° per the triangle angle sum theorem
x + 60 + 56 = 180 substituted known values
x + 116 = 180 added like terms
x = 64 subtracted 116 from both sides
Answer: 64°
A car rental company charges a $25.00 base fee plus $0.10 per mile driven to rent a car. How many miles did a customer drive if the customers bill was $37.80? Write the variable represents, equation, and miles.
Answer:
128 miles
Step-by-step explanation:
Given that a car rental company charges a $25.00 base fee plus $0.10 per mile driven to rent a car.
Let us represent y as total charges and x no of miles driven
Even if x=0, y= 25 (base fee)
SO y intercept =25
Slope = charge per drive = 0.10
So equation is
y =0.1x +25
To find out how many miles did a customer drive if the customers bill was $37.80, we can use the above equation.
y = 37.80 and x =?
37.80=0.1x+25
0.1x = 12.80
x = 12.80/0.1 = 128 miles
What is the difference from -83883838838383888-88888888939393
Amy made the following conjecture: When any number is multiplied by itself, the product will be greater than this starting number.
For example: in 2x2=4, the product 4 is greater than the starting number 2.
Megan disagreed with Amy's conjecture, however,
[tex] \frac{1}{2 } \times \frac{1}{2} = \frac{1}{4} [/tex]
and
[tex] \frac{1}{4} [/tex]
is less than
[tex] \frac{1}{2} [/tex]
how could Amy's conjecture be improved? Explain the change(s) you would make
Amy's conjecture can be improved by including a limit. Since any number greater than one multiplied by itself will be greater (for example, 2x2 = 4). But, any number less than one (excluding zero, but including negatives) will yield a smaller result.
Amy's conjecture should be
"When a number greater than 1 is multiplied by itself, the product will be greater than the starting number,"
Angle E and angle F are vertical angles with m angle E = 5x + 10 and m angle F = 7x - 12
What is the value of X?
Vertical angles are always equal.
So you can set the equation up like this:
5x + 10 = 7x - 12
Subtract 5x from both sides. Then Add 12 to both sides.
22 = 2x
Divide both sides by 2.
11 = x
Vertical angles are equal, so we set the expressions 5x + 10 and 7x - 12 equal to each other and solve for 'x', resulting in the value of 'x' being 11.
Explanation:The student is asking about vertical angles, which are angles opposite each other when two lines cross. In this case, m angle E and m angle F are vertical angles with given expressions for their measures. According to the property of vertical angles, they are equal. This means we can set the expressions for their measures equal to each other and solve for 'x'.
The equations given are:
m angle E = 5x + 10m angle F = 7x - 12Since m angle E = m angle F, we write:
5x + 10 = 7x - 12
Now, let's solve for 'x':
Subtract 5x from both sides: 10 = 2x - 12.Add 12 to both sides: 22 = 2x.Divide both sides by 2: x = 11.So, the value of 'x' is 11.
How do I describe the translation in terms of x and y?
You shift every point 6 units to the right and 6 units down. Check out the attached image below. In that image, I show point A moving to point A' in this fashion. Every other point (B and C) will move along this similar pattern. This is how the triangle ABC moves to A'B'C'
------------------------------------
In terms of an algebraic rule, it would be (x,y) --> (x+6, y-6). We add 6 to the x coordinate of each point. At the same time, we subtract 6 from each y coordinate.
For instance, A is at (-2,3). Add 6 to the x coordinate and we get (4,3). Now subtract 6 from the y coordinate and we end up with A' = (4,-3). Points B and C will be treated in a similar manner.
Note: Triangle ABC is called the pre-image ("pre" meaning "before") while A'B'C' is called the image.
Place value of 6 in 2.675 and 1 in 804.721
Please help will give brainliest
Answer:
James and Logan each are eating sandwiches. Logan finished his but then stole 1/3 of James' sandwich. James still has 5 times the parts of his sandwich then Logan. What fraction of a sandwich does Logan still have left?
Step-by-step explanation:
Logan stole 1/3 of James' sandwich resulting in Logan owning James 1/3 of a sandwich.
the temperature was 80 degrees and then fell 20 degrees
60 degrees?
hope this helps
If the temperature was 80 and it fell to 20 you need to subtract 20 from 80 than giving you the difference in temperature witch is 60 degrees difference.
FINAL ANSWER 60 Degrees Difference.
Hope that helps
Daniel
What type of number is 67
it is an odd number. it is also a prime number . ie only divisible by one and itself.
35. One expressed power of Congress stated in the Constitution is the power to a. coin money b. create treaties. c. create schools. d. establish prisons.
Which of the following is usually the first step in solving a system of nonlinear equations by substitution
Answer:it is isolating one of the variables...
Step-by-step explanation:
Apex
Answer:
isolating the variable
Step-by-step explanation:
Zoey wants to cover her bedroom floor with carpet squares each square has an area of 1 foot her bedroom measures 12 feet by 14 feet how many carpets squares does she need
Final answer:
Zoey needs 168 carpet squares to cover her bedroom floor that measures 12 feet by 14 feet, since each carpet square covers 1 square foot.
Explanation:
Zoey wants to cover her bedroom floor with carpet squares where each square has an area of 1 square foot. Her bedroom measures 12 feet by 14 feet. To find out how many carpet squares she needs, we need to calculate the total square footage of her room by multiplying its length by its width.
The calculation will be:
Length × Width = 12 feet × 14 feet = 168 square feet.
Since each carpet square covers 1 square foot, Zoey will need a number of squares that equals the total square footage of her room. Therefore:
Total square footage = Number of carpet squares needed
168 square feet = 168 carpet squares needed.
Zoey will need 168 carpet squares to cover her bedroom floor completely.