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 (:
4+3 (x+2) simplify the expression
Answer:
4+3x+6
10+3x
this is the answer
Answer: 3x+10
Step-by-step explanation:
Distribute:
=4+(3)(x)+(3)(2)
=4+3x+6
Combine Like Terms:
=4+3x+6
=(3x)+(4+6)
=3x+10
If a triangle ABC is classified as a right triangle, which statement is true?
Answer:
Two slopes of triangle ABC are opposite reciprocals
Step-by-step explanation:
Hope This Helps!!!
Brainliest PLZ???
Answer:
Two slopes of triangle ABC are opposite reciprocals
Step-by-step explanation:
took the test
I will give brainliest. Please help fast! (Solve for number 5)
Answer:
the area of the parallelogram is 120 units
The absolute value of 7
−12
is
Answer:
7
Step-by-step explanation:
Answer:
Step-by-step explanation:
Do you mean 7-12, or 7/(-12)?
7-12 = -5, so the absolute value of 7-12 is 5.
The absolute value of 7/(-12) is 7/12.
Graph y + 2 = -1(x + 3).
you should use desmos
Answer: y= -10x - 10
Step by step explanation: All you need to do is distrubute then solve for y and then graph, and that is all you need to do, you can do this on Desmos
y^2-y-42
pls helpppppp i dunno how to do this one??
Bro I am so bad at math and I need help ;-;
Answer:
1. M > -7
2. y < -1
3. m < -12
4. k > -2
5. c > -9
Please let me know if you need me to explain these answers! :)
What is the slope of y=-1+3x
Answer:
That is the format for a slope so you already have it but its incorrect
Step-by-step explanation:
Slope format is y=mx+b
Your x shouldnt be next to the 3
This question isnt accurate or your missing information
====================================================
Explanation:
Because we can add two numbers in any order, the equation y = -1+3x is the same as y = 3x+(-1).
Compare this to y = mx+b, which is slope intercept form.
We see that m = 3 is the slope and b = -1 is the y intercept.
Help me in number 10 please 6 points!!!!
Answer:
answer is 8.5
Step-by-step explanation:
please help asap((((:
Answer:
Angle 3 is 95, angle 1 is 30.
Step-by-step explanation:
I already answered a lot of your other angle questions so I will make this one QUICK...
Angle 4 is 85, so to find angle 3, simply subtract: 180 - 85 = 95
So angle 3 is 95
We know two out of the three angles in a triangle and they are: 95 and 55, so 95 + 55 = 150. The sum of the angles in a triangle is 180 so we have: 180-150 = 30, which is the answer for angle 1.
So angle 1 is 30
Need help
Value of n2(m+r)if m=3,n=2,r=4
Solve for the roots in simplest form using the quadratic formula:
x2 – 14x = -33
Answer:
i think its x = 11 , 3
Step-by-step explanation:
Two airplanes leave an airport at the same time on different runways. One flies on a bearing of N 66°W at 325 miles per hour. The other airplane flies on a bearing of S 26°W at 300 miles per hour. How far apart will the airplanes be after two hours
After solving the equations, the distance between two airplanes after two hours will be equal to 861.21 miles.
What is Speed?The speed of an entity, which is a scalar quantity in regular usage and kinematics, can be defined as the size of the change in direction per unit of time or the size of the change in position over time for an object. The initial speed is the upper limit of maximum pace as the duration of a time interval gets closer to zero.
Assume that both the planes are on similar point A at the start.
Assume that x is the 325 mph flying object.
Consequently, it would have traveled a distance of after two hours of 325 × 2 = 650 miles.
Let B represent the location of the plane two hours later.
That means AB = 650 miles
Assume that y is the 300 mph flying object.
It would have traveled a distance of two hours = 300×2=600 miles.
After two hours, let C represent the location of the second plane.
This means AC=600 miles
After two hours, BC separates the two aircraft.
So, the angle between their paths is 87°.
Cos A = (AC² + AB² - AC²)/(2(AC)(AB))
cos 87 = (600² - 650² - AC²)/(2 × 600 × 500)
40822.04 = 782500 - AC²
AC² = 782500 - 4082204
AC = 861.21 miles.
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What is the solution for xsquared= 64
A. Positive or r 4
B. 4
C. Positive or negative 8
D. 8
Answer:
64 rooted is D. 8
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proof.
Given: AB is diameter of circle O.
AC and BD are tangents
Prove: AC parallel to BD.
Answer:
The statements are in regular print, the reasons are bolded
Step-by-step explanation:
1st:AB is the diameter of circle o. Both 1 and 2 are Given
2nd: AC and BD are tangents.
3rd:Ab is perpendicular to AC , AB is perpendicular to BD. Radius is perpendicular to tangent
4th: AC is parallel to BD Lines parallel to same line are congruent.
what is the slope between point B and point C
Answer: 4/3
Step-by-step explanation:
Slope is ratio of change in y with the change in x. From points C-->B, the change in y is 4. The change in x is 3. Therefore, the slope is 4/3
Which number line shows the solution of -3x+6>12?
Answer:
when I solve the equation of -3×+6>12
-3×>12-6...........subtract 6 from both side
-3×>6................simplify
-3×/-3 <6/-3......when we divide or multiple by negative number the sign will be in opposite direction
×<-2 ...........× is solved
s.s( solution set ) ={x<-2 like -3,-4,-5 infinity }
Step-by-step explanation:
i hope it is help full
Answer the eqation
6h=-24
Answer:
h=-4
Step-by-step explanation:
6 times -4 is -24
helloo
============================
Answer:
-4
Step-by-step explanation:
6h= -24
h = -24/6
h = -4
hope this helps
please mark it as a brainiest
Please help this is the last problem I need
Answer:
[tex]sin 54 = \frac{x}{14}[/tex]
Step-by-step explanation:
[tex]sine = \frac{opposite}{hypotenuse}[/tex]
Side z is the adjacent, since it is next to the angle you are solving for.
Side x is the opposite, since it is opposite the angle you are solving for.
The side measuring 14 is the hypotenuse, since it is across from the right angle.
[tex]sin 54 = \frac{x}{14}[/tex]
4 times 12 divided by 16
Answer:
3
Step-by-step explanation:
4x12=48
48/16=3
=3
Answer:
the awnser is 60
Step-by-step explanation:
In the figure, BC is a support for the roof
of a garage. What is the length of BC?
Answer:
Bc = √63 ft
Step-by-step explanation:
Here, we want to get the length of BC
As we can see, there is a right angled triangle ABC, with 12ft being the hypotenuse and 9 ft the other side
So we want to get the third leg which is BC
we can use the Pythagoras’ theorem here
And that states that the square of the hypotenuse equals the sum of the squares of the two other sides
let the missing length be x
12^2 = x^2 + 9^2
144 = x^2 + 81
x^2 = 144-81
x^2 = 63
x = √63 ft
In this question use
1 cubic foot = 6.23 gallons
1 cubic foot = 0.028 cubic metres
Convert 3738 gallons into cubic metres.
Answer:
16.8 cubic metres
Step-by-step explanation:
Given: 1 cubic foot = 6.23 gallons
1 cubic foot = 0.028 cubic metres
Let the conversion into cubic metres be represented by x.
Thus we can say that;
6.23 gallons = 0.028 cubic metres
and
3738 gallons = x cubic metres
So that,
x = [tex]\frac{3738*0.028}{6.23}[/tex]
= 16.8
x = 16.8 cubic metres
The conversion of 3738 gallons into cubic metres is 16.8 cubic metres.
Find the equation of the line specified.
The slope is -4, and it passes through (5,8).
a. y = 4x + 8
b. y = -4x + 28
c. y = -4x - 12
d. y = -8x + 28
Answer:
B) y=-4x+28
Step-by-step explanation:
y-y1=m(x-x1)
y-8=-4(x-5)
y=-4x+20+8
y=-4x+28
$12 per pizza how many pizzas can i get for $400
Answer:
$388
Step-by-step explanation:
subtract 400 and 12
(sorry if its wrong)
The volume of a cube is 413cm3.
Work out the length of its side rounded to 1 DP.
Answer:
Write the full question please
The length of the side of the cube, rounded to 1 decimal place, is approximately 7.6 cm .
To find the length of the side of a cube given its volume, we need to find the cube root of the volume .
Given that the volume of the cube is 413 cm³, we can calculate the length of its side as follows:
side length = ∛( volume )
side length = ∛( 413 cm³)
side length ≈ 7.6 cm (rounded to 1 decimal place)
Therefore, the length of the side of the cube, rounded to 1 decimal place, is approximately 7.6 cm .
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Josie bought a soda and 2 candy bars. The soda costs $1.10. Her total bill was $2.40. How much was each candy bar
Answer:
$0.65
Step-by-step explanation:
2.40-1.10=1.3
1.3/2=.65
First to completly answer will be marked brainliest if you give a random answer just to get points you will be reported
Answer:
Pi: Irrational
2/9: Rational
225: Rational
0.167: Irrational <--- fourth one
Step-by-step explanation:
Not sure about the 4th one, but the others are good :)
What does -2 - 10 equal to?
What is the scale factor?
please help!
Answers:
Scale factor = 5/3 (which is approximately equal to 1.67)x = 10========================================
Work Shown:
To find the scale factor, we divide a side of triangle MNO over a corresponding side of triangle FGH. We can only pick the horizontal bottom sides since we don't know what x is yet.
scale factor = ON/HG = 15/9 = (5*3)/(3*3) = 5/3
In decimal form, this is approximately 5/3 = 1.67; however, I find it's better to stick with the fraction since it's exact.
---------------
Let's solve for x
One way to do so is to follow these steps
(FG)/(MN) = (HG)/(ON)
6/x = 9/15
6*15 = x*9 ..... cross multiply
90 = 9x
9x = 90
x = 90/9
x = 10
Or we could solve like this
(FG)/(HG) = (MN)/(ON)
6/9 = x/15
6*15 = 9x
90 = 9x
9x = 90
x = 90/9
x = 10
We end up with the same result because we got to 90 = 9x after cross multiplying, which was found in the previous set of steps as well. There are other ways to solve using a proportion. But they should all lead to x = 10.
Note how,
MN/FG = 10/6 = (5*2)/(3*2) = 5/3
which was the scale factor we found earlier
5/3 is going to be your answer.
If you wanted to figure
out how much air is in
a basketball, would
you use plane
geometry or solid
geometry?
Answer:
solid gemontery
Step-by-step explanation: Plane geomentry is flat and soild is balls sqaures and other types of shapes.