Answer:
Here is another case where we have two unknowns (the number of hours each mechanic worked) so we'll need two equations to solve.
Let A = number of hours first mechanic worked (the one who charged $45/hour)
Let B = number of hours second mechanic worked (the one who charged $105/hour)
From the problem statement, we know that the two mechanics worked a combined 35 hours so the first equation is:
Equation 1: A hours + B hours = 35 hours
We also know that in total, the charge was $2475. So the second equation is:
Equation 2: (A hours x 45 dollars/hour) + (B hours x 105 dollars/hour) = 2475 dollars
So our two equations are:
1: A + B = 35
2: 45A + 105B = 2475
Multiply both sides of the first equation by -45 to get the following:
-45A - 45B = -1575
Now the two equations are:
1: -45A - 45B = -1575
2: 45A + 105B = 2475
Add them together and the "A" term drops out:
-45B + 105B = -1575 + 2475
or
60B = 900
Now divide both sides by 60:
B = 15
Now plug B = 15 into the first equation:
A + 15 = 35 thus A = 20
So Mechanic A (at $45/hour) worked 20 hours and Mechanic B (at $105/hour) worked 15 hours
Check: 20x45 + 15x105 = 900 + 1575 = 2475
Step-by-step explanation:
hope it helps you (:
Find the value of 71° + 72° + 73° + 74° + 75º.
Quick answer
Rectangle LMNO is reflected over the x-axis to create rectangle L'M'N'O'. If a line segment is drawn from point M to point M', which statement would best describe the relationship between segment M M prime and the x-axis?
Answer:
They are perpendicular to each other.
Step-by-step explanation:
It is given that there is a rectangle LMNO and this rectangle is reflected over x axis and the create a new rectangle L'M'N'O'.
Now if a straight line segment is drawn joining the point M to the point M', they will form perpendicular to each other. Thus The relationship between the line segment M-M' and the x axis is perpendicularity.
Answer: C they are perpendicular to each other
Step-by-step explanation:
I took the test and got C
Write the unit rate for $17 for 5 cards
Answer:
$3.40 per card
Step-by-step explanation:
To find the unit rate, divide the total cost ($17) by the number of cards (5 cards):
$17
--------------- = $3.40 per card
5 cards
Answer: $3.4
Step-by-step explanation: If 5 cards cost $17
Divide 17 by 5 : 17/5
Your result will be 3.4
Meaning 1 card cost $3.4
Please help!! Pleaseeee
Answer:
pretty sure its the first and 3rd one sorry if im wrong
Step-by-step explanation:
please help me i need help
Answer:
21/8 cups of vegetables per cup of cheese
Dawson baked one pie in 7/12 of an hour. How long will it take Dawson to bake 9 pies
Priya creates a scatter plot showing the relationship between the number of steps she takes and her heart rate. The correlation coefficient of the line of best fit is 0.88.
1. Are they correlated? Explain your reasoning.
2. Does either of the variables cause the other to change? Explain your reasoning.
Answer:
Positive correlation exists ;
Number of Steps taken will cause heart rate to increase.
Step-by-step explanation:
Correlation refers to the relationship which exists which exists between two variables. It shows how an increase in one variable affects the other variable. Variables are divided into independent and dependent variables. Correlation may either be positive, negative or non - existent.
Given the correlation Coefficient of 0.88 between heart rate and number of steps taken, the R value being close to 1 depicts a strong positive relationship or correlation.
Correlation between number of steps taken and heart rate.
Yes, The number of steps taken will cause the hear rate to increase. Hence, the dependent variable is is heart rate and it depends on the number of steps taken (independent variable).
1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.
2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.
What is Correlation Coefficient?A correlation coefficient shows how corelated two variables are.Correlation coefficient ranges from -1 to 1.The closer the correlation coefficient is to -1 or 1, the stronger the correlation between two variables.1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.
2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.
Learn more about correlation coefficient on:
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B
27 m
24 m
18 m
List angles largest to smallest
Answer:27,24,18
Step-by-step explanation:
sorry if it’s wrong but I think so
There are two numbers that
multiply to -45 and combine to 12. Find
the two numbers, then the LARGER
number is your answer for this question.
Answer:
The large number is 15
Step-by-step explanation:
15 * (-3) = -45
15 + (-3) = 12
Please help me !!!!!!!
Answer:
C. Both (1,11) and (-1,-5)
Step-by-step explanation:
Ok so,
let's try to plug in the first ordered pair into the equation. It should look like this:
11 = 8+3
11=11 CORRECT
now let's try to plug in the second ordered pair. it should look like this:
-5 = -8+3
-5 = -5 CORRECT
hope this helps. have a good day!!
What is the value of x in the triangle? A. 21 B. 10 C. 7 D. 7√3
Answer:
A.21
Step-by-step explanation:
We can use trigonometry to slove for sides in this triangle...
Using the 60 degree angle...we can solve for x.
We are dealing with adjacent and opposite sides, so we use the tangent function in the calculator.
And since we're using tangent, we have to use opposite/adjacent
We have tan60=x/7sqrt3-multiply the adjacent side(7qrt3) to the other side,
and we have 7sqrt3tan60=x--enter this in to you're calculator, and you should
get an answer of 21
50 POINTS HELP PLS ASAP
Answer:
G
Step-by-step explanation:
Find the product of (x − 3)2.
x2 + 6x + 9
x2 − 9
x2 − 6x + 9
x2 + 9
Answer:
The answer is number 3
Step-by-step explanation:
[tex] {(x - 3)}^{2} = {x }^{2} - 6x + 9[/tex]
Answer:
answer- 3
Step-by-step explanation:
9(x−3)
2
=x
2
−6x+9
Solve the simultaneous equations.
Please help.
Answer:
the answer is x= 5 and y = 1.5
Here we have been given with two equations and we will solve them by elimination by substitution method inorder to get the value of x and y.
5x - 4y = 19 (Equation No 1)x + 2y = 8 (Equation No 2)★ From Equation No 2 :-
>> x + 2y = 8
>> x = 8 - 2y
★ In Equation No 1 :-
Substituting here the value of x which we got above as (8 - 2y).
>> 5x - 4y = 19
>> 5 (8 - 2y) - 4y = 19
>> 40 - 10y - 4y = 19
>> 40 - 14y = 19
>> -14y = 19 - 40
>> -14y = -21
>> 14y = 21
>> y = 21 / 14
>> y = 1.5
★ Finding out value of x :-
>> x = 8 - 2y
>> x = 8 - 2 (1.5)
>> x = 8 - 2 × 1.5
>> x = 8 - 3
>> x = 5
Anna ran 10 meters, Bill ran 15 meters, and Chloe ran 20 meters. How many centimeters did the three people run?
Answer:
Anna: 1000cm
Bill: 1500
Chloe: 2000
convert m to cm
Answer:
4500 cm
Step-by-step explanation:
1 meter = 100 cm
10 meters = 1000 cm
15 meters = 1500 cm
20 meters = 2000 cm
1000 + 1500 + 2000 = 4500 cm
Please help with what you can!
Thank you!
Answer:
The answer to number 9 is: 148.16
PLZZ HALPMMELOL PLZZ it’s due 20 min
Answer: They ate 5/8 of the salad
Step-by-step explanation: If you have 3/8 and add 2/8 you don't have to change the denominator, so you just add the numerators together.
Step-by-step explanation:
they ate 5/8 salad
3/8+ 2/8 = 5/8
hope this will be helpful to you.
plz mark my answer as brainlist if you find it useful.
Which are pairs of vertical angles? \
A = ∠COB & ∠COA
B = ∠BOD & ∠AOD
C = ∠COB & ∠AOD
D = ∠AOD & ∠AOC
Answer:
it is b sorry I tried to work out it best have a nice day
Answer:
a=
Step-by-step explanation:
Cost price = £40
Selling price = £48
Calculate the percentage profit
5x + 1 = 56
Solving 2 step equations?
Answer:
the x would equal to 11 ,so x=11
The RADIUS of the barrel is 9.5.
What is the circumference of the barrel?
Answer:
19
Step-by-step explanation:
D=2r
D = 2(9.5)
= 19
someone give the worked solution for this please!!!!
Answer:
The scale Myra should use is one graph unit = 400 km or;
←--→ = 400 km
Step-by-step explanation:
The question relates to the representation of scale drawing
The actual distance between Perth and Sydney = 3294 kilometers
The given coordinates of Perth on the grid = (1.3, 3.4)
The given coordinates of Sydney on the grid = (9.2, 3.3)
The measure of the distance between Perth and Sydney, 'd', is given by using the following formula for finding the distance between two points given their 'x', and 'y' coordinates;
[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]
Therefore, by substitution, we have;
[tex]d = \sqrt{\left (9.2-1.3 \right )^{2}+\left (3.3-3.4 \right )^{2}} = \sqrt{\left (7.9 \right )^{2}+\left (-0.1 \right )^{2}} = \dfrac{\sqrt{6242} }{10} \approx 7.9[/tex]
d ≈ 7.9 units
Therefore, we have;
7.9 units of the graph = 3294 kilometers
1 unit of the graph ≈ 3294/7.9 km = 416.962025316 km ≈ 416.96 km
Therefore, the scale Myra should use for her map is 1 unit = 400 km.
In a regular polygon each interior angle is 140° greater than each exterior angle. Calculate the number of sides of the polygon
Answer:
18 sides.
Step-by-step explanation:
The interior and exterior angles sum to 180 so:
I + E = 180
also I - E = 140 (given)
So, adding to eliminate E:
2I = 320
I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.
Since the sum of all exterior angles in a polygon = 360 degrees
- the number of sides = 360 / 20 = 18.
help fast please!!!!
Answer:
OK this is easy the answer is r=2.4
Step-by-step explanation:
so what you would do is simply add 3.1 and 1.7to get 4.8
then you would divide 4.8 by 2 and get r=2.4
can somebody answer it for me please. simplify and it can only contain positive exponent.
Answer:
1/2m^12
Step-by-step explanation:
simplify the expression :
m^-6/2m^3 x m^3
1/2m^9 x m^3
solution: 1/2m^12
sorry its really hard to explain the steps but I hope I helped you :)
Answer:
[tex]\frac{1 }{2m} ^x{12}[/tex]
Step-by-step explanation:
just take away the X
Find 39.5% of 373. Round to the nearest hundredth
39.5% of 373. is 147.336
37 degrees Celsius to Fahrenheit
Answer:
98.6 Fahrenheit
Step-by-step explanation:
Elisa puts $1,000 into each of 2 bank accounts.
Account A: 3% interest rate, compounded annually, which is
growth
Account B: $40 bonus added to the account each year, which is
growth
Answer:
exponential
linear
$1092.73
$1120
account b
account a
Step-by-step explanation:
on the test now.
Which expression is equivalent to x² - 4x - 45?
А
(x - 9)(x - 5)
B
(x + 9)(x+5)
(20 +9)(x - 5)
D
(x - 9)(x+5)
Answer:
D. (x - 9)(x+5)
Step-by-step explanation:
[tex]x^{2} - 4x - 45[/tex] is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.
First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.
So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.
B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B
It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.
Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.
The equivalent expression to x² - 4x - 45 is (x - 9)(x + 5), which corresponds to option A.
To factor the quadratic expression x² - 4x - 45, we need to find two binomials that, when multiplied, give us the original expression.
We look for two numbers whose product is -45 (the coefficient of the constant term) and whose sum is -4 (the coefficient of the linear term, -4x). After some exploration, we find that the numbers -9 and 5 satisfy these conditions.
Thus, we can express x² - 4x - 45 as (x - 9)(x + 5). This is because when we multiply the two binomials (x - 9) and (x + 5) using the distributive property, we obtain the original quadratic expression.
This factored form, (x - 9)(x + 5), represents the equivalent expression to x² - 4x - 45.
To learn more about the quadratic equation;
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#SPJ6
Helppppppppppppppppppp I’ll mark you brainlist
Answer:
1
Step-by-step explanation:
you add +6 everytime you up the number :))
Answer:
The missing value of x in this arithmetic sequence is "1"
Step-by-step explanation:
Since this is an arithmetic sequence that means that when we get from one term to the next one we always add/substract the same number each time.
In our case each time we need to find the next term we just add 6 to the current term. For example, after 13 we have 19 which is essentially 13 + 6.
From this we know in order to get from x to 7 we added 6, now know this we can make an equation...
x + 6 = 7
And now we just solve it...
x + 6 = 7
x = 7 - 6
x = 1