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Work Shown:
Angles DCH and PCF are congruent because they are vertical angles.
angle DCH = angle PCF
5h+94 = 7h+80
94-80 = 7h-5h
14 = 2h
2h = 14
h = 14/2
h = 7
angle DCH = 5h+94
angle DCH = 5*7+94
angle DCH = 35+94
angle DCH = 129 degrees
angle PCF = 7h+80
angle PCF = 7*7+80
angle PCF = 49+80
angle PCF = 129
We get the same result for both angles, which confirms the correct h value.
6.99 x 10^2 in standard form
Devon earns $35 per hour for a regular 40-hour work week. Sometimes, he works over 40 hours a week and earns "double time" for the extra hours worked. (That means that his hourly rate for the additional hours over 40 hours per week is double his normal hourly rate.) If Devon works 48 hours in one week, how much would he earn that week?
Answer:
1960
Step-by-step explanation:
40 times 35 = 1400
8 times 2 times 35 = 560
1400+560=1,960$
When Devon works for 48 hours in one week the total amount he earned that week is equal to $1960.
To calculate Devon's earnings for the week when he works 48 hours,
Consider his regular pay for the first 40 hours and then the "double time" pay for the additional 8 hours.
Regular pay for 40 hours: Devon earns $35 per hour for a regular 40-hour work week.
Regular pay = $35/hour × 40 hours = $1400
Overtime pay for the additional 8 hours: Devon works 48 hours in total, so he works 8 hours over the regular 40-hour work week.
For these 8 hours, he earns "double time," which means his hourly rate is doubled.
Double time rate = 2 × $35 = $70/hour
Overtime pay
= Double time rate × Number of overtime hours
= $70/hour × 8 hours
= $560
Total earnings for the week: To find the total amount earned in the week, add the regular pay and the overtime pay.
Total earnings
= Regular pay + Overtime pay
= $1400 + $560
= $1960
Therefore, if Devon works 48 hours in one week, he would earn $1960 that week.
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is 5/x+y=-7 linear or nonlinear
Answer:
Not linear.
Step-by-step explanation:
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
Hudson has a balance of -$12.50 in his bank account. Daniel has a balance of $6.25 in his bank account. Use absolute value to find the difference between their balances.
Answer:
The absalute value is $6.25 because $12.50-$6.25=$6.25 and thats how much daniel has in his bank account.
Answer:
$18.75
Step-by-step explanation:
6.25 - negative 12.50 = 18.75
Evaluate f(x) = X(With an exponent of 2) -3x +2, given f(x + 1).
Answer:
f(x + 1) = x² - x
Step-by-step explanation:
f(x) = x² - 3x + 2 when f(x + 1)
f(x + 1) = (x + 1)² - 3(x + 1) + 2
f(x + 1) = (x² + 2x + 1) + (-3x - 3) + 2
f(x + 1) = x² - x + 0
f(x + 1) = x² - x
Best of Luck!
WOULD THIS BE ASA OR NOT CONGRUENT PLS HELP
Answer:
Non Congruent
Step-by-step explanation:
Hope this helps :)
Solve 24x + 2y = 48 for y.
Answer:
y = 24 - 12x
Step-by-step explanation:
24x + 2y = 48
Get 2y by itself and subtract 24 x on both sides.
24x + 2y = 48
-24x -24x
2y = 48 - 24x
To have y all by itself, divide by 2 on both sides.
2y = 48 - 24x
/2 /2
(You have to divide 2 by everything on the other side so...)
y = 24 - 12x
Hopefully this helped you out...have a great day c:
Please help ASAP! Will give brainleist Thank you!
Answer:
b,d,e,g
Step-by-step explanation:
878 divided by 26 solve it
Answer:
33.7692307692 or for it to be rounded, 34 or 33.8
Step-by-step explanation:
Answer:
439/13
Step-by-step explanation:
One week, Sarah earned $192.00 at her job when she worked for 8 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $408.00?
Answer:
17
Step-by-step explanation:
a probability experiment consists of rolling a fair 8-sided die. Find the probability of the event below. rolling a 4
Answer:
23
Step-by-step explanation:
Plz help I am confusion
Answer :
Option D : ( 7 , 5 )
We can use x +y / 2 = midpoint,
Let x be point A and y be point B
((1,1) + x)/2 = (4,3)
(1,1) + x = 2(4,3)
x = (8,6)-(1,1)
x = (7,5)
Hope it helps :)
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Consider these similar triangles were ALMN - ARSN.
What is the length of x?
Answer:
x = 15
Step-by-step explanation:
48/12 = 4
60/4 = 15
Essentially, find the growth rate and divide the larger number by that number, or if you were given the smaller number (15), you would simply need to multiply 15 by 4 to find 60.
A group of hikers is progressing steadily along an uphill trail. The graph shows their elevation (or height above sea level), in feet, at each distance from the start of the trail, in miles.
Answer:
-2
Step-by-step explanation:
Y=500+250x
The graph shows the linear relationship between Elevation in feet and distance along trail in miles.
Intercept = 500 feets Slope = 250 (positive) y = 500 + 250xThe intercept is the point where the regression line intersects the y - axis. From the graph, the intersect is 500 feets From the graph, the slope is positive, as elevation increases with distance. The slope = Rise ÷ Run Slope = (2500 - 500) ÷ (8 - 0)Slope = 2000 ÷ 8Slope = 250The regression equation written in the form :
y = a + bx a = intercept ; b = slope y = 500 + 250xLearn more :https://brainly.com/question/18405415
Evaluate 26 + a if a = 8.
Answer:
34
Step-by-step explanation:
26 + 8 = 34
insert 8 into the equation where a is and add.
which of the fillowing number are greater than 185/100
-1.08
190/100
-35/20
Answer:
190/100
Step-by-step explanation:
185/100 is greater than 1, so two of those answers are already out.
185/100= 1.85
-1.08 < 1.85 so no
-35/20 = -1.75
-1.75 < 1.85 so this also no
Then the last one is 190/100 = 1.90
1.90 > 1.85
So 190/100 is the answer
what is one x 1 divided by 1
Answer:
1?
Step-by-step explanation:
Tom needs to paint a straight fence consisting of 6 panels. He has green, red, and magenta paint, and each panel should be painted with only one color.
How many ways are there to paint the fence?
Answer:
Total number of ways = 20
Step-by-step explanation:
Given:
Total number of panels = 6
Total number of color = 3
Find:
Total number of ways
Computation:
Total number of ways = ⁶C₃
Total number of ways = !6/!(6-3)!3
Total number of ways = !6/(!3)!3
Total number of ways = 20
Answer:20
Step-by-step explanation:
idk
point) Arrange the four numbers shown in order from least to greatest. 6.7% 0.67 6.7 x 10-3 6/9
Answer:
I'm pretty sure the answer is: 6.7 x 10^-3, 6.7%, 6/9, 0.67.
Step-by-step explanation:
Convert everything into decimal form.
6.7 x 10^-3 = 0.0067
6.7% = 0.067
6/9 = 0.66... (repeating decimal)
0.67 = 0.67 (already a decimal)
Once you have converted your numbers into decimals then you can compare them from least - greatest.
which statements are true about the polynomial function?
f(x)=x^3+5x^2+6x
Statements given in the Options (3) and (4) are the correct.
Polynomial function given in the question is,
f(x) = x³ + 5x² + 6x
Check all the options whether they are true or false.
Option (1)
f(x) = 0 at x = 2,
Substitute the value x = 2 in the polynomial.
f(2) = (2)³ + 5(2)² + 6(2)
= 8 + 20 + 12
= 40
False.
Option (2)
(x + 2) is a factor of f(x).
If it's true, f(x) = 0 will be true for x = -2
Substitute x = -2 in the function,
f(-2) = (-2)³ + 5(-2)² + 6(-2)
= -8 + 20 - 12
= -20 + 20
= 0
True.
Option (3)
f(-2) = 0
f(-2) = (-2)³ + 5(-2)² + 6(-2)
= -8 + 20 - 12
= 0
True.
Option (4)
f(x) divided by (x - 2) has a remainder of 0.
x - 2)x³ + 5x² + 6x(x² + 7x
x³ - 2x²
7x² + 6x
7x² - 14x
20x
Here, remainder is (20x).
False.
Therefore, Options (3) and (4) are correct.
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Can someone please help me with this please!!!!!
Answer:
a,c,d and e are TRUE.
Step-by-step explanation:
<8 and <5 add upto 180°(supplementary)
<4 and <7 are angles outside and opposite of the transversal(the line that is crossing the parallel lines)
<5 and<7 are 90°(vertical)
<2 and<6 are on the same side of the transversal(corresponding)
This morning, Deon's car had 18.09 gallons of fuel. Now, 6.1 gallons are left. How much fuel did Deon use?
Answer:
11.99
Step-by-step explanation:
PLEASE ANSWER WILL MARK BRAINLIEST TO FIRST ANSWER.
Answer:
60 I think
Step-by-step explanation:
125 + 115=240
240-180÷60
Answer:
60
Step-by-step explanation:
The measure of angle i : 60
i need help! I have 0 idea how to get the answer or anything
Answer:
2x +110= 180
2x=70
x=35
Step-by-step explanation:
Find AB if A(-1,7) and B (11, -1). Round your answer to the nearest tenth.
Answer:
The answer is 14.4 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(-1,7) and B (11, -1)
The distance between them is
[tex] |AB| = \sqrt{( { - 1 - 11})^{2} + ( {7 + 1})^{2} } \\ = \sqrt{ ({ - 12})^{2} + {8}^{2} } \\ = \sqrt{144 + 64} \: \: \: \: \: \: \: \\ = \sqrt{208} \\ = 4\sqrt{13} \\ =14.42220510...[/tex]
We have the final answer as
14.4 units to the nearest tenthHope this helps you
1. How are the intergers and whole number the same ?
Answer:
Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers.
Step-by-step explanation:
Overview
Question Progress
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Which 2 grids have 25% shaded?
b)
a)
d)
Introduction to Percentages
View One Minute Version
Overview
Answer:
7
Step-by-step explanation:
A recipe calls for 4 cans of 12.6 oz of chicken broth. how many ounces of chicken broth does the recipe require? A. 3.15. B. 8.6 C. 16.6 D 50.4
Answer:
50.4
Step-by-step explanation:
Answer:
Yes, The correct answer is 50.4 oz
Step-by-step explanation:
Select the correct answer. A baseball is hit from an initial height of 3 feet and reaches a maximum height of 403 feet. Which function could be used to model this situation, where is the height, in feet, after t seconds?
Answer:
ΔS = 1/2gt²
Step-by-step explanation:
Given
Initial height of the ball = 3 feet
Maximum height of the ball = 403 feet
To get the function that best suits the situation after t seconds, we will use the equation of motion;
ΔS = ut + 1/2gt²
ΔS is the change in height
u is the initial velocity of the body = 0m/s
g is the acceleration due to gravity = 9.81m/s²
t is the time taken for the ball to reach its maximum height.
ΔS = 403-3
ΔS = 400ft
Substituting the given values into the formula;
ΔS = ut + 1/2gt²
400 = 0 + 1/2(9.81)t²
400 = 4.905t²
t² = 400/4.905
t² = 81.55
t = √81.55
t = 9.03secs
The situation that best model the situation is ΔS = ut + 1/2gt²
ΔS = 0 + 1/2gt²
ΔS = 1/2gt²
{6 + [(3 * 2) - (2 * 2)]} ÷ 2