Answer:
6.4×10⁵
Step-by-step explanation:
Answer:
640000 in a standard form is 6.4 ×10^5
2
Joe's office recycled a total of 9 kilograms of paper over 3 weeks. How many weeks will it take Joe's office to
recycle a total of 24 kilograms of paper?
0/1
Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together they charged a total of $3000. What was the rate charged per hour by each mechanic if the sum of the two rates was $175 per hour?
Answer:
the rate charged per hour by the first mechanic is 75 $/hr and the rate charged per hour by the second mechanic is 100 $/hr.
Step-by-step explanation:
A system of equations is a set of two or more equations in various unknowns in which you want to find a common solution.
So, first of all it is convenient to define the system variables:
x= the rate charged per hour by the first mechanicy= the rate charged per hour by the second mechanicIf the sum of the two rates were $ 175 per hour, then the mathematical expression that represents this situation is: x + y= 175
You know that the first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Then the amount of money won by the first and second mechanic respectively is expressed by 20*x and 15*y. Together they charged a total of $3000, then 20*x + 15*y=3000
So, the system of equations to solve is:
[tex]\left \{ {{x+y=175} \atop {20*x+15*y=3000}} \right.[/tex]
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.
There are several methods for solving a system of equations. One of them is the substitution method, which consists of solving or isolating one of the unknowns (for example, x) and substituting its expression in the other equation. In this way, you obtain an equation of the first degree with the other unknown. Once solved, you must calculate the value of x by substituting the already known value of y.
In this case, you isolate the variable x from the first expression:
x= 175 - y
Replacing this expression in the second equation:
20*(175 - y)+15*y=3000
and solving you get:
20*175 -20*y +15*y=3000
3500 -20*y +15*y=3000
3500 -5*y=3000
-5*y=3000 -3500
-5*y= -500
y= (-500)÷(-5)
y= 100
So:
x=175 -y
x=175 -100
x=75
Then the rate charged per hour by the first mechanic is 75 $/hr and the rate charged per hour by the second mechanic is 100 $/hr.
Answer:
The rate charged by the first mechanic is $75/h and by the second is $100/h.
Step-by-step explanation:
We have that the two mechanics charged a total of $3000:
[tex] A + B = \$3000 [/tex]
[tex] A = \$3000 - B [/tex] (1)
The sum of the rate of the two mechanics was $175 per hour:
[tex] R_{A} + R_{B} = \$175/h [/tex] (2)
The rate of the first (A) and second (B) mechanic is:
[tex] R_{A} = \frac{A}{t_{A}} = \frac{A}{20 h} [/tex] (3)
[tex] R_{B} = \frac{B}{t_{B}} = \frac{B}{15 h} [/tex] (4)
By entering equation (3) and (4) into (2):
[tex] \frac{A}{20 h} + \frac{B}{15 h} = \$175/h [/tex] (5)
Now, by entering equation (1) into (5) we have:
[tex] \frac{\$3000 - B}{20 h} + \frac{B}{15 h} = \$175/h [/tex]
[tex] \frac{-3B + 4B}{60 h} = \$175/h - \$150/h [/tex]
[tex] B = \$25/h*60 h = \$1500 [/tex]
Now, for the first mechanic we have:
[tex] A = \$3000 - B = \$3000 - \$1500 = \$1500 [/tex]
Finally, from equation (3) and (4) we can find the rate charged per hour by each mechanic:
[tex] R_{A} = \frac{A}{20 h} = \frac{\$1500}{20 h} = \$75/h [/tex]
[tex] R_{B} = \frac{B}{15 h} = \frac{\$1500}{15 h} = \$100/h [/tex]
Therefore, the rate charged by the first mechanic is $75/h and by the second is $100/h.
I hope it helps you!
I really need help and if you know the answers for the rest on the assignment please tell me
Answer:
igbr8gv9rt0ingr3tebegvijb3tu9hrn9vuorgnbrugngfboipbn tufgnvigfuobrengty98bnvfrgubndifvnjthbi rvjunmtybtbtbfgbN
Step-by-step explanation:
vdf fvfvrg
NEED HELP ASAP (will mark brainliest)
Answer:
30 feet away
Step-by-step explanation:
hope this helps
A mixture of green frosting contains 12 drops of yellow food coloring and 8 drops of blue food coloring. If you want to make the same shade of green frosting using 48 drops of yellow food coloring, how much blue food coloring would you need?
Answer:
32 drops of blue food coloring is needed
Step-by-step explanation:
If :
12 drops of yellow food coloring = 8 drops of blue food coloring.
48 drops of yellow food coloring = x
Cross Multiply
12 drops × x = 48 drops × 8 drops
x = 48 drops × 8 drops/12 drops
x = 32 drops of blue food coloring.
If you want to make the same shade of green frosting using 48 drops of yellow food coloring, you would be needing 32 drops of blue food coloring
The area of Kamar’s tabletop is a whole number of square feet. Could the length and width be decimal numbers each with one decimal place? Explain your answer.
Answer:
Pic?
Step-by-step explanation:
How can I find an outlier in a box and whisker plot?
Answer:
Generally it's one that is just out of the way, the extreme outcast.
all you need is in the photo
Answer:
4 hours mowing lawns and 4 hours washing cars. 6 hours washing cars and 2 hours mowing lawns.
Step-by-step explanation:
Car washing gets paid more so it would only be fair if he worked more hours of washing cars than mowing lawns. Hope this helped you!!
Given the two points (0, -5) and (-4, 0), determine the value of a and b.
Answer:
Ax + By = C
5x + 4y = -20
a is 5, b is 4
Step-by-step explanation:
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (0 - (-5)) / (-4 - 0)
= 5 / -4
m = -5/4
Use m above and anyone point to find y-intercept, let's use (-4, 0):
y = mx + b
0 = -5/4(-4) + b
0 = 5 + b
b = -5
Slope intercept form using m and b from above:
y = mx + b
y = -5/4x - 5
Standard form Ax + By = C:
y = -5/4x - 5
5/4x + y = -5
5x + 4y = -20
-8/9 divided by -8/9 in fraction form
Answer:
1
Step-by-step explanation:
If you ever divide a number by itself, it will be 1.
Answer:
I believe its 1
Step-by-step explanation:
Maya is interning at a law firm over the summer and is paid by the hour. Her hourly wage is $52. Write two equations represent the proportional relationship between the wages she earns (w) and the number of hours (h).
Answer:
The two equations are;
w = 52 h
and h = w/52
Step-by-step explanation:
From the question, we are told that she earns $52 in an hour
So therefore ,
W(h)= 52h
where h is the number of hours she has worked and w is the wages earned for the number of hours worked
The two equations are;
w = 52h
or w/h = 52
Plz help I ONLY GOT 6HRS LEFT?!?!
Answer:
21.5m^2
Step-by-step explanation:
Start by finding the area of the triangle including the rectangle.
The bottom side equals 7m and the other side equals 9m.
To find the area of the triangle, you multiply the base by the height, then divide by 2: (bh)÷2
(7*9)÷2=63/2m^2 or 31.5m^2
Now you can find the area of just the shaded region. To do this, you will want to find the area of the rectangle then subtract it from the area of the triangle.
To find the area of the rectangle, multiply the length by width.
2*5=10m^2
Now you can subtract the areas.
31.5-10=21.5m^2
J + 16 - 148 + 4
Simplify the variable expression
Answer:
j-128
Step-by-step explanation:
just add the number so you do
j+16-148=4
We move all terms to the left:
j+16-148-(4)=0
We add all the numbers together, and all the variables
j-136=0
We move all terms containing j to the left, all other terms to the right
j=136
Answer:
j= -128
Step-by-step explanation:
Find the volume of a cone with a diameter of 12 m and a height of 7 m.
Answer:
c. 84 time pi m squared
Step-by-step explanation:
Formula for volume of a cone: pi times radius squared times height divided by 3
for this you don't need to multiply by pi so it's
12 and radius is 6
6 squared times 7/3
36 times 7/3
83.99999
rounded to 84 time pi m squared
Answer:
c
Step-by-step explanation:
a p e x
An apartment building has the
following distribution of apartments:
1 bedroom
1st floor 3
2nd floor 1
3rd floor 1
2 bedroom
1
3
4.
3 bedroom
1
2
1
If an apartment is selected at random, what is the probability that it is on the 2nd floor or has 2 bedrooms?
A. 11/17
B. 3/17
C. 8/11
OD. 14/17
Answer:
8/17
Step-by-step explanation:
Write an equation to find the number of allowance a chet receive in any number of weeks w
Answer:
b
Step-by-step explanation:
which statement is false ?
Answer:
C
Step-by-step explanation:
answer and work please
Answer:
I think the answer is 10 cats could be 2 maybe
Step-by-step explanation:
Jen has X cats.
Sister has 3x-2 cats.
3x-2 = 4
X = 2
URGENT HELP NEEDED PLEASE
Answer:
line j
Step-by-step explanation:
Due in half an Hour. Thanks for your help.
Answer:
C and $320.45
Step-by-step explanation:
I think it's C because this is the full function :
[tex]b = 26 \times d + 3.5 \times 13 + 14.95[/tex]
And to get the b part of the question i just put the number in
[tex]b = 26 \times 10 + 3.5 \times 13 + 14.95 = 320.45[/tex]
I'm not a 100% sure, sorry if it's wrong
A banquet table is formed by placing three square-topped tables edge to edge. The square tabletop of each small table has an area represented by x2−6x+9. What is the overall length of the entire banquet table?
A.[tex]3x^{2} -9[/tex]
B.[tex]x-3[/tex]
C.[tex]3x^{2} -18x+27[/tex]
D[tex]3x-9[/tex]
Answer:
Option D: 3x - 9
Step-by-step explanation:
We are told that A banquet table is formed by placing three square-topped tables edge to edge.
This means means that the 4 sides are equal and the length of the entire banquet table is; 3 x side of the table
Now, the table has an area which is x² − 6x + 9.
Thus, one side will be a factor of the quadratic equation.
From quadratic formula, the factor of the equation is; (x - 3)(x - 3)
Thus,one side is (x - 3).
So, length of entire table is;
L = 3(x - 3)
L = 3x - 9
x varies directly with y, x =16, y=36, find x when y is 90
Answer:
The answer is 40 I believe
Step-by-step explanation:
36 divided by 16 is 2.25, 90 divided by 2.25 is 40
Answer:
try 70
Step-by-step explanation:
What percentage of the shape is purple?
Write your answer using a percent sign (%).
Answer:
8% I think
Step-by-step explanation:
cause that 2/25 which is also 8/100
pls pls help!! there's 3 images.
I WILL MARK YOU BRAINLIEST IF U GET IT RIGHT
Answer:
im not sure about the 1st one but sec one is 162 i think and im i dont know the last eaither srry
Step-by-step explanation:
Estimate.
2.1 + 31.8
Answer:
D=34
Step-by-step explanation:
2.1+31.8= 33.9
Answer:
D
Step-by-step explanation:
None of the other answer make sense.
If you are adding, why would your estimate be lower than the factors?
(x + 3y) answer please
Answer:
what do you need done to it?
Answer:
Nothing can be done with this, what do you want to be done , graph?
Step-by-step explanation:
The equation below models the height in feet, h, of a softball t seconds after it is hit by a batter.
h = negative 16 t squared + 105 t + 3
Why is the height of the ball a function of time?
Each value of time is associated with exactly one height.
Each height of the ball is associated with exactly one moment in time.
There is exactly one time at which the maximum height is attained.
There is a maximum and minimum height that the ball can reach.
Answer:
its A.
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Describe how the graph of y = 2x is the same and different from the graph of y = 2x - 7 explain or show your reasoning
Answer:
They are the same because they have the same slope but are different because they have different y intercepts.
Step-by-step explanation:
The slope of both lines is the same. Then the line is parallel to each other.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equations are given below.
y = 2x
y = 2x - 7
The slope of both lines is the same. Then the line is parallel to each other.
But the first line is passing through the origin and the second line is passing through (0, -7).
The graph is given below.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Find the value of y for the given value of x. y=x2+9;x=−12
Answer:
0
Step-by-step explanation:
0 is what i got
Please help show how u know it’s correct
Answer:
7. Three angles are congruent but it is not enough to determine congruence, sides can still be different
- Not enough info
8. Hypotenuse and one leg are congruent
- HL
9. Angles N and L are congruent, also angles K are vertical, so congruent, in addition one non-included side is congruent
- AAS
10. S is midpoint of DT, so DS≅ST, also RS≅SB, the angle in between is also congruent as vertical
- SAS