Answers
Answer: see below
Step-by-step explanation:
Set up two equations, one for each scenario
88w + 21b = 5840
84w + 82b = 9044
Use one equation and isolate one of the variables. We'll isolate w in the first equation.
88w + 21b = 5840
88w = 5840 - 21b
w = (5840 - 21b)/88
Then substitute that into the second equation.
84w + 82b = 9044
42w + 41b = 4522 (simplified)
42((5840 - 21b)/88) + 41b = 4522
21((5840 - 21b)/44) + 41b = 4522 (simplified)
(122640 - 441b)/44 + 1804b/44 = 4522
(122640 - 441b + 1804b)/44 = 4522
122640 + 1363b = 198968
1363b = 76328
b = 56
Now that we know belts are $56, we can substitute that back into any equation and solve for w.
w = (5840 - 21b)/88
w = (5840 - 21(56))/88
w = (5840 - 1176)/88
w = 4664/88
w = 53
Related Questions
Jerome bought a pair of the new UGG boots for men that was on sale for 30% off the original price of $129.95. Which is closest to the sale price of the pair of shoes?
Answers
Answer:
$90.98
Step-by-step explanation:
A copy machine can print 340 color copies every 8 minutes. So how many copies can be made 28 minutes
Answers
Answer:
1190
Step-by-step explanation:
We have the ratio: 8:340 which means that 340 copies are printed in 8 minutes
We want to find out how many color copies are printed in 1 minute so we divide by 8
so our new ratio is now 1:42.5
We now multiply this ratio by 28 to find out how many are printed in 28 minutes
28:1190
our answer is 1190 copies
The parallelogram shown represents a map of the boundaries of a natural preserve. Walking trails run from points A to C and from points B to D. The measurements shown represent miles. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of D E is y + 2, the length of E B is 3 y minus 4, and the length of E C is 2 y minus 3. What is the sum of the lengths of the two trails? 6 miles 12 miles 16 miles 36 miles
Answers
Answer:
[tex]16\ \text{miles}[/tex]
Step-by-step explanation:
In a parallelogram the diagnols bisect each other. So,
[tex]DE=EB\\\Rightarrow y+2=3y-4\\\Rightarrow 4+2=3y-y\\\Rightarrow 6=2y\\\Rightarrow y=\dfrac{6}{2}\\\Rightarrow y=3[/tex]
[tex]DE=y+2\\\Rightarrow DE=3+2\\\Rightarrow DE=5[/tex]
[tex]BD=2DE\\\Rightarrow BD=2\times 5\\\Rightarrow BD=10[/tex]
[tex]EC=2y-3\\\Rightarrow EC=2\times 3-3\\\Rightarrow EC=3[/tex]
[tex]AC=2EC\\\Rightarrow AC=2\times 3\\\Rightarrow AC=6[/tex]
The sum of the diagonals is [tex]BD+AC=10+6=16\ \text{miles}[/tex]
The sum of the lengths of the two trails is [tex]16\ \text{miles}[/tex].
Answer:
16 Miles
Step-by-step explanation:
Just took the quiz and got it right
Please help me with this homework
Answers
The m stands for the slope and the b stands for the y intercept in the slope intercept equation ( y = mx + b)
FUN FACT:
John Conway has suggested m could stand for "modulus of slope.”
I hoped this helped and have a great day :)
Point A is located at (-5, -3.5). Point B is located at (-5, 1). What is the distance between point A and point B?(THERES NO PICTURE)
Answers
Answer:
how we go answer it
Step-by-step explanation:
Solve the following system algebraically, for values a, b, and c.
2a + b + c = 17
1/2c = 5
a-b=5
Answers
Answer:
a= 4
b= -1
c= 10
Step-by-step explanation:
First we start by multiplying both sides of 1/2c = 5 by 2.
c = 10
Add b to both sides of the last equation to make it a=b+5
knowing these two things, we can plug them into the first equation like this:
2(b+5) + b + 10 = 17
then you solve for b:
distribute the 2
2b + 10 + b + 10 = 17
combine like terms
3b + 20 = 17
subtract 20 from each side
3b = -3
divide by 3
b = -1
then you can plug that into the last equation again so a - (-1) =5
Subtracting a negative is the same as adding so its a + 1 = 5 or a = 4
2+2 help me I am in first grade and this is my homework and I don’t know it
Answers
Answer:
2+2=4
Step-by-step explanation:
A department store is having a “half price” sale. Which is equivalent to “half price”?
a 21
B 0.05
D 50%
C 0.5%
HELPPP MMEEEE
Answers
Answer:
d. 50%
Step-by-step explanation:
Professional chefs usually measure ingredients by weight
rather than by volume. A recipe calls for 2 ounces of
flour for every 3 ounces of sugar. If you are a chef and
you use 12 ounces of sugar, how many ounces of flour
should
you
use?
Answers
Reason is because if they used 12 ounces that means they multiplied the ratio 2:3 by 4 so the sugar is 12. By doing that you’d also have to multiply 2 by 4 so that the ratio stays even. So it went from 2:3 to 8:12. Sorry if that doesn’t make sense.
Calculate the force when the pressure is 18 N/M squared and the area is 4 M squared.
Answers
solve for the missing side
Answers
Answer:
7.28011
Step-by-step explanation:
a² + b² = c²
7² = 49
2² = 4
49 + 4 = 53
√53 = 7.28011
Answer:
Step-by-step explanation:
2^2+b^2=7^2
4+b^2=49
b^2=45
b= 6.708
7. Use substitution. What is the
solution of the system of
equations?
y = -4x + 11
8x + 2y = 14
A. X = 6, y = 7
B. x = 6, y = -7
C. Infinitely many solutions
D. No solution
PLEASE HELP AND PLEASE LOOK AT THE OTHER QUESTIONS I ASKED
Answers
Answer:
No solution, D
Step-by-step explanation:
If you rewrite the second one to be the y=mx+b form then you get
8x-14= -2y
Divide by -2 and get
-4x+7=y
Because the slopes are the same the lines will never intersect which means there is no solution
Can somebody help me? Will mark brainliest.
Answers
Answer:
4
Step-by-step explanation:
Given the triangle AEC - trianhle BED the 4th equation, ED/EC = AC/BD is true.
Solve the system by substitution.
1.
5x + y = -17
-3x - 3y = 3
Solve the systems by elimination.
2.
x - y = 11
2x + y = 19
3.
-7x + y = -19
-2x + 3y = -19
4.
4x + 6y = 10
6x = 9y - 3
Answers
2. (10 , -1) : elimination way.
3. (26/7 , -26/7 ) : elimination way.
4. ( 1 , 1) : elimination way.
Answer:
1. (-4 , 3) : substitute way .
2. (10 , -1) : elimination way.
3. (26/7 , -26/7 ) : elimination way.
4. ( 1 , 1) : elimination way.
Step-by-step explanation:
Solve: 11-x=x-3 pls help quicky
Answers
Answer:
x=7
Step-by-step explanation:
11+3=14, x+x=2x, divided by two, x=7
Hope this helps!!!
F(x)=-x^3+24x^2-179x+495 determine the
Average rate of change of f(x) between x=2 and x=5
Answers
Answer:
The average rate of change is -75
Step-by-step explanation:
The Average Rate of Change (ARC)
It's a measure of how much the function changed per unit, over a given interval.
Given a function F(x) and an interval between x=a and x=b, the average rate of change is:
[tex]\displaystyle A=\frac{F(b)-F(a)}{b-a}[/tex]
The function is:
[tex]F(x)=-x^3+24x^2-179x+495[/tex]
and it's required to find the ARC between x=2 and x=5.
Calculate F(2) and F(5):
[tex]F(2)=-2^3+24*2^2-179*2+495=225[/tex]
[tex]F(5)=-5^3+24*5^2-179*5+495=75[/tex]
The ARC is:
[tex]\displaystyle A=\frac{75-225}{5-3}=\frac{-150}{2}=-75[/tex]
The average rate of change is -75
NEED HELP ASAP PLZ!!!!!!!!
Jessica runs between 3 and 7 miles per day. It takes Jessica 12 minutes to run one mile. What is a reasonable amount of time that Jessica spends running every day?
A.
36 minutes
B.
120 minutes
C.
84 minutes
D.
60 minutes
Answers
Answer:
120
Step-by-step explanation:
Adrian wrote the standard form of an equation is 2x – 1/4y = 4. Ulises told him that the equation was not yet in standard form.
What steps should Ulises tell Adrian to fix the equation and turn it into standard form.
Answers
Answer:
its y*x+z
Step-by-step explanation:
4*4
Sam has to pay a 15% tax on a boat that cost him $500. He believes he can determine the tax he owes using the calculation: 15 x 5
Answers
Answer:
$75
Step-by-step explanation:
Cost = $500
Sam has to pay a 15% tax
To compute his tax, we use the step outlined bellow
tax= 15/100*500
tax= 0.15*500
tax=$75
Hence his tax is $75
What happens if the length of the
hypotenuse is missing?
• We can solve for the length of
the hypotenuse
• Let's use the Pythagorean
Theorem
a?+ b2 = c2
2222
3
Solve:
5
Answers
Answer:
c² = 34
Explanation:
Pythagorean Theorem: a² + b² = c²
Insert 3 and 5 into the equation3² + 5² = c²
Simplify3² = 9
5² = 25
9 + 25 = 34
34 = c²
- PNW
______________________________
1.) To find c, you must fill in the formula:Formula: [tex]a^2+b^2=c^2[/tex][tex]a^2=3^2[/tex][tex]b^2=5^2[/tex]- When finding c, it doesn't matter what you put for a or b. So if you want to make a = 5, and b = 3, it wouldn't make any difference.
2.) Find the powers of a and b:[tex]3^2=9[/tex][tex]5^2=25[/tex]3.) Add a and b together:[tex]9+25=34[/tex]______________________________
What is −2x−6y= 6 in slope-intercept form?
Answers
Answer:
y=1+1/3x
Step-by-step explanation:
please help me please will give its about negative numbers
Answers
The number line shows the dot on -3, and it is not shaded, which means that x is not equal to that number. The, the line continues into -2 and so on. This numbers are greater than -3.
So, x is greater than -3.
Answer:
D. x>-3
Step-by-step explanation:
Since the dot on -3 is not shaded in we know it is not ≤ or ≥ so option A and C are eliminated.
Remember if the arrow is pointing to the left (<-----) Then it is Less-than which is <.
If the arrow is pointing to the right (----->) Then it is Greater-than which is >.
Since the arrow is pointing right the answer will be x>-3 which is D
A file that is 282 megabytes is being downloaded. If the download Is 18.5% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth.
Answers
Answer:
50
Step-by-step explanation:
18.5% of 282 is 52.17
Answer:
solution.
Step-by-step explanation:
data given
1, total file in size is 282mb
2,the size downloaded is 18.5
asked to find how many megabytes have been downloaded
=18.5÷100×282
=52.17
there fore the downloaded megabytes is 52.17mb
find the missing length indicated
Answers
Answer:
x = 256
Step-by-step explanation:
Remark
Interesting question. Thanks for posting.
The small triangle has the height as the missing side.
Part One: Givens
a = 144
b = height = ?
c = 240
a^2 + b^2 = c^2
144^2 + b^2 = 240^2
20736 + b^2 = 57600 Subtract 20736 from both sides
b^2 = 57600 - 20736
b^2 = 36864
√b^2 = √36864
b = 192
Solve for x
The relationship between the height (b) and 144 and x is
b^2 = 144 * x
36864 = 144x Divide by 144
x = 256
PLEASE HELP ILL GIVE BRAINLIEST Which equation choice could represent the graph shown below?
Answers
Answer:
A, x(x-4)
Step-by-step explanation:
None of them will give you the vertex you want but the x intercepts are only correct for A
Answer:
Its The Bottom Right one I think D
Step-by-step explanation:
Quickkk please help and how all work
x=3y-1
3x+4y=10
Answers
Answer:
y=1, x=2
Step-by-step explanation:
so first solve for y. plus x=3y-1 into the other equation.
so 3(3y-1)+4y=10.
Simplify
9y-3+4y=10 Add 3 to both sides
9y+4y=13 Add
13y=13 . Divide 13 from both sides
y=1
Plug 1 into the first equation.
x=3(1)-1
x=3-1
x=2 and y=1
HELP FAST I'LL MARK YOU BRAINLIEST
Answers
Answer:
y = -2x + 12
Step-by-step explanation:
Step 1: find the slope
y = 1/2x + 5
The equation of the line is
y = mx + c
m - slope
m = 1/2
Note : if two lines are perpendicular to the other, both lines are negative reciprocal of each other
m = -2
Step 2 : using a point slope form
y - y1 = m( x - x1)
( 2 , 5)
x1 = 2
y1 = 5
y - 2 = -2( x - 5)
y - 2 = -2x + 10
y = -2x + 10 + 2
y = -2x + 12
The equation of the line is
y = -2x + 12
I dunno the answer so I just found another answer I found in here for this question:P
Sorry- it’s useless
Suppose log8(3)=a and log8(5)=b. What is log 8(45) in terms of a and b?
Answers
====================================================
Work Shown:
[tex]\log_8(3) = a\\\\\log_8(5) = b\\\\\log_8(45) = \log_8(3*3*5)\\\\\log_8(45) = \log_8(3)+\log_8(3)+\log_8(5)\\\\\log_8(45) = a+a+b\\\\\log_8(45) = 2a+b\\\\[/tex]
The log rule used was log(x*y) = log(x)+log(y).
Work out 1/3 of 0.25 of 48% of £340
Answers
Answer:
0.083
163.20
Step-by-step explanation:
What is 0.77 as a percent?
