Answer:
X= 1
Y= -3
Factor and set each factor equal to 0
Zane received a quote to move his belongings to his new house. The estimate from
the mover is $675 for 6 hours of packing and 5 hours of loading on the weekend. The
cost during the week is $425 for 4 hours of packing and 3 hours of loading. If the
mover charges a set hourly rate for packing and another set hourly rate for loading,
what are these hourly rates?
What is the LCM for packing? What is the LCM for loading?
9514 1404 393
Answer:
packing: $50 per hourloading: $75 per hourpacking LCM: 12; loading LCM: 15Step-by-step explanation:
We can let P and L represent the hourly costs of packing and loading, respectively. The two estimates can be represented by the equations ...
6P +5L = 675
4P +3L = 425
The LCM of the coefficients of P is LCM(6, 4) = 12.
The LCM of the coefficients of L is LCM(5, 3) = 15.
__
Each LCM is the product of the numbers, divided by their greatest common factor. For 4 and 6, the product is 24, and both even numbers have a factor of 2, so the LCM of 4 and 6 is 24/2 = 12. The numbers 3 and 5 have no common factors, so the LCM is simply their product.
_____
The LCM is useful if you're going to solve the equations by "elimination". Here, the LCM of 12 means we can eliminate P by making its coefficient be 12 in both equations. Multiplying the first equation by 2, we can subtract 3 times the second equation to eliminate P:
2(6P +5L) -3(4P +3L) = 2(675) -3(425)
12P +10L -12P -9L = 1350 -1275
L = 75 . . . . . simplify
Similarly, we can eliminate L by making its coefficients be 15.
5(4P +3L) -3(6P +5L) = 5(425) -3(675)
20P +15L -18P -15L = 2125 -2025
2P = 100 . . . . simplify
P = 50 . . . . . . divide by 2
The hourly rates are ...
$50 per hour for packing
$75 per hour for loading
Answer:
40 packing and 80 moving
Nikki is braiding her hair. She wants to make 48 little braids. If it takes her 4
minutes to make each braid, how many hours will it take her to make all 48
braids? *
Answer:
3.2 hours
Step-by-step explanation:
48x4=192
192 divided by 60 is 3.2
Answer:
3 hours and 12 minutes
Step-by-step explanation:
there are 15 sets of 4 in one hour, so 15 plus 15 equals 2 hours or 30 braids. Then you add one more hour and you get 45 braids and then for the last three braids its 12 minutes
if you want to thank me add me on insta at 904_donke
How many more barrels of gasoline then diesel were produced last year
Answer:
3,000,000
Step-by-step explanation:
Can someone please help me?
9514 1404 393
Answer:
x = 87°vertical anglesStep-by-step explanation:
The marked angles share a vertex and are formed from opposite rays. They do not share a side, so are not adjacent angles. The angles are vertical angles.
As such, they are congruent, so x = 87°.
[tex] \large \sf \blue{Find \: the \: H.C.F \: of : }[/tex]
[tex] \sf \purple{➪ \: 84 \: and \: 156}[/tex]
Answer:
[tex] \large \sf \blue{Find \: the \: H.C.F \: of : }[/tex]
[tex] \sf \purple{➪ \: 84 \: and \: 156}[/tex]
solve for x if 2(1+3x) =3
Answer:
x is 5
Step-by-step explanation:
12 Select the correct answer from each drop-down menu. 4 units 6 units 4 units NIE bi TH 6 units 4 units The total area of the three triangles is square units. The area of the figure is square units. Reset
Answer:
Area of three triangles = 36 square units
Area of the composite figure = 60 square units
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
Area of ΔABC = [tex]\frac{1}{2}(6)(4)[/tex]
= 12 square units
Area of ΔCDE = [tex]\frac{1}{2}(4)(6)[/tex]
= 12 square units
Area of ΔGEF = [tex]\frac{1}{2}(6)(4)[/tex]
= 12 square units
Area of rectangle ACEG = Length × Width
= AC × CE
= 6 × 4
= 24 square units
Area of three triangles = 12 + 12 + 12
= 36 square units
Area of the composite figure = Area of three triangles + Area of the rectangle
= 36 + 24
= 60 square units
Answer:
The total area of the three triangles is 36 square units.
The area of the figure is 60 square units.
Step-by-step explanation:
A population has a standard deviation of 20.2. What is the standard error of
the sampling distribution if the sample size is 144? Round your answer to two
decimal places.
A) 1.68
B) 1.84
C) 1.55
D) 1.44
Answer: 1.68
Step-by-step explanation:
A pex
another khan academy pls
Answer:
89
Step-by-step explanation:
3 consecutive numbers can be:
[tex]x-1, x, x+1[/tex] ; for example: 1, 2, 3 (1 is 1 less than 2, and 3 is 1 more than 2)
The sum is all of them added, so
[tex]x-1+x+x+1=270; 3x=270; x=90[/tex]
90 is the middle number though, so the first number is 89
Answer:
88, 90, 92
Step-by-step explanation:
I hop this is right can you pls answer this question khan academy.
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6),A(2,−6),A, left parenthesis, 2, comma, minus, 6, right parenthesis, comma B(5, -6)B(5,−6)B, left parenthesis, 5, comma, minus, 6, right parenthesis, C(5, -2)C(5,−2)C, left parenthesis, 5, comma, minus, 2, right parenthesis, and D(2, -2)D(2,−2)D, left parenthesis, 2, comma, minus, 2, right parenthesis.
What is the perimeter of rectangle ABCDABCDA, B, C, D?
units
Thank you
The graph shows the number of books Rahul read, y, compared with the number of books Maggie read, x, over the summer.
Which equation represents the relationship between the number of books read by Rahul and Maggie?
A. y=x+2
B. y=x+1
C. y=3x
D. y=2x
Answer:
D. y=2x(4×2)
Step-by-step explanation:
y=8 and x=4 and they are asking about the books that Maggie read how they the books re equal to the ones Rahul read. so y will be equal to x times 2 which is also x+x.
Hope I helped!
If there are 7 red candies in a bag of 36 colored candies, what is the probability of getting a red candy as a
percent? Round to the nearest whole percent.PLS HELP THIS IS FOR A TEST
A.19%
b. 29%
C.50%
d. 70%
Answer:
19.4% but rounded is 19%
Step-by-step explanation:
7/36 = x/100
36x = 700 (cross multiply)
36x/36 = 70036
x = 19.4444444
Struggling with this one. Help please.
Answer: [tex]-\frac{3}{5}[/tex]
Step-by-step explanation:
Since x is 3 and y is -5
Answer:
d
Step-by-step explanation:
Plz help me well mark brainliest if correct!!....
Answer:
35 square units
Step-by-step explanation:
take the amount of each side and multiply. so it would be 5 times 7. that gives you the total area.
Answer:
Your answer is 35!
Step-by-step explanation:
You just count the squares along the sides of the rectangle. Since you need length and width to find area, you count the bottom side and one of the sides. Then multiply! Or just count the squares inside the rectangle :)
How much money would you have in an account after 15 years if you earned 9,3% annually and you started with R573,00?
Given:
Principal = R573.00
Rate of interest = 9.3% annually
Time = 15 years.
To find:
The amount after 15 years.
Solution:
Formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of time interest compounded in an year and t be the number of years.
The interest is compounded annually, so n=1.
Putting [tex]P=573,r=0.093,n=1,t=15[/tex] in the above formula, we get
[tex]A=573\left(1+\dfrac{0.093}{1}\right)^{1(15)}[/tex]
[tex]A=573\left(1+0.093\right)^{15}[/tex]
[tex]A=573\left(1.093\right)^{15}[/tex]
[tex]A=2174.98893[/tex]
[tex]A\approx 2174.99[/tex]
Therefore, the amount in the account after 15 years is about R2174.99.
Please help out. The question is on the photo
Answer:
55
Step-by-step explanation:
Find the mean of the data set: {11, 14, 11, 5, 17, 28, 3). Round to the nearest tenth.
Answer:
12.7
Step-by-step explanation:
Mean is total/the amount of numbers
Total: 11+14+11+5+17+28+3=89
Amount: 7
89/7=12.7142857
Answer:
12.7
Step-by-step explanation:
Mean = sum/count
Sum = 89
Count = 7
mean = 89/7
mean = 12.7142857143
Rounded
12.7
A salesperson at a furniture store earns a 3% commission on all sales. How much commission does the salesperson earn on a $1400 sale? A) $21 B) $42 C) $420 D) $1,420
Answer:
B
Step-by-step explanation:
PLZZZZZZZZZZZZZZZZZ help
Answer:
true
Step-by-step explanation:
[tex]\frac{x}{2} <20[/tex]
* substitute 30 for x *
[tex]\frac{30}{2} <20\\\frac{30}{2} =15\\[/tex]
we're left with 15 < 20 which is true
A. 20
b. 5
c. 40
d. 45
Answer:
C, 40
Step-by-step explanation:
You can set up the equation as 20+4x=180
180 is the total angle of the line
4x=160 and divide each side by 4
x=40
Julio is ordering books from BestBooks for his reading club. The table shows Julio's total cost of the book order, Including the shipping fee for each order.
Answer:
Shipping Fee = $ 6
Step-by-step explanation:
The complete question and the table is as follows :
Given - Julio is ordering books from Best Books for his reading club. The table shows Julio's total cost of the book order, Including the shipping fee for each order. Best Books charges the same shipping fee for every book order.
To find - How much is the shipping fee?
Proof -
We know that,
Total Cost = (Number of books buy)(Cost of 1 book) + Shipping Fee
Let us Assume that,
Cost of 1 book = x
Shipping Fee = y
So,
From the table, we get
21 = 5x + y ..........(1)
36 = 10x + y ..........(2)
51 = 15x + y ..........(3)
66 = 20x + y ..........(4)
From equation (1), we get
y = 21 - 5x
Put the value of y in equation (2), we get
36 = 10x + 21 - 5x
⇒36 = 5x + 21
⇒5x = 36 - 21
⇒5x = 15
⇒x = [tex]\frac{15}{5}[/tex] = 3
∴ we get
x = 3
Put the value of x , we get
y = 21 - 5(3)
= 21 - 15
= 6
⇒y = 6
SO, we get
x = 3
y = 6
Verify the 4 Equations :
21 = 5x + y ..........(1)
21 = 5(3) + 6
= 15 + 6
= 21
⇒21 = 21
Verified
36 = 10x + y ..........(2)
36 = 10(3) + 6
= 30 + 6
= 36
⇒36 = 36
Verified
51 = 15x + y ..........(3)
51 = 15(3) + 6
= 45 + 6
= 51
⇒51 = 51
Verified
66 = 20x + y ..........(4)
66 = 20(3) + 6
= 60 + 6
= 66
⇒66 = 66
Verified
So, we get
Cost of 1 book = x = $ 3
Shipping Fee = y = $ 6
Find the area of the shape. 9 ft 8 ft 17 ft 4 ft
Answer:
72
Step-by-step explanation:
Answer:
4892 or 2446
Step-by-step explanation:
The solution of the equation (x + 3)^2 = 7 is
Answer:
- sqaure root 7-3, sqaure root 7-3
Step-by-step explanation:
See Image below:)
WILL
GIVE
,,,,
BRAINLIST
Answer:
First option is correct
Click here What is the average rate of change for this exponential function for the interval from x=2 to x = 4? 15 10 -5 5 10 O A. -6 > O B. 12 O c. 6 O D.-12
Answer:
c. 6
Step-by-step explanation:
Given
See attachment for graph
Required
Average rate of change
This is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex](a,b) = (2,4)[/tex]
So, we have:
[tex]Rate = \frac{f(4) - f(2)}{4 - 2}[/tex]
[tex]Rate = \frac{f(4) - f(2)}{2}[/tex]
Using the attached graph, we have:
[tex]f(2) = 4[/tex]
[tex]f(4) = 16[/tex]
So, we have:
[tex]Rate = \frac{16- 4}{2}[/tex]
[tex]Rate = \frac{12}{2}[/tex]
[tex]Rate = 6[/tex]
• I am a fraction less than 1.
My denominator is a multiple of 5.
My denominator is less than 20.
• My numerator is a multiple of 4.
My numerator is 3 less than my
denominator.
Answer:
12/15
Step-by-step explanation:
3x5=15
4x3=12
15-12=3
Therefore the answer is 12 over 15
Can someone help me find x
Answer:
30°
Step-by-step explanation:
4x-12 = 108
4x = 120
x=30
4(30)-12 = 108 (Just to check)
120-12 =108
108=108
A spinner has 10 equal sections: 3 redsections, 4 green sections and 3 bluesections. If Josh spins the spinner, what isthe probability that it lands on a greensection?
Pleaseeeee need this quickly
50 points!
its CL i think im very sorry if im wrong
2x^2-13=x Write the quadratic equation in standard form:
Answer:
2xˆ2-x-13=0
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
2x^2 - 13 = x
Subtract x from both sides:
2x^2 - x - 13 = 0 is the standard form.
What's the output of a system modeled by the function ƒ(x) = x5 – x4 + 9 at x = 2?
Answer:
f(x)=x5-x4+9
if x=2,. f(2)= 2⁵-2⁴+9
=32-16+9
=16+9
f(2) =25