Answer:
$3562.50
Step-by-step explanation:
If the cost ratio is ...
labor : parts = 3/5 : 1 = 3 : 5
then the ratio of labor to the whole cost is ...
labor : total = 3 : (3+5) = 3 : 8
The amount saved by not paying for labor is ...
(3/8) × $9500 = $3562.50 . . . labor charge
The mean of the heights of three buildings A,B and C is 14.2m. The mean of the heights of five buildings A,B,C, D and E is 14.8m. Find the mean of the heights of the buildings D and E.
========================================================
Work Shown:
s = sum of the heights of buildings A,B,C
s/3 = mean of the heights of buildings A,B,C
s/3 = 14.2
s = 3*14.2
s = 42.6
The buildings A,B,C have their heights add up to 42.6
--------------
r = sum of the heights of buildings A,B,C,D,E
r/5 = mean of the heights of buildings A,B,C,D,E
r/5 = 14.8
r = 5*14.8
r = 74
--------------
r-s = (sum of heights of A,B,C,D,E)-(sum of heights of A,B,C)
r-s = sum of the heights of buildings D and E
r-s = 74-42.6
r-s = 31.4
(r-s)/2 = mean height of buildings D and E
(r-s)/2 = 31.4/2
(r-s)/2 = 15.7 meters is the average height of buildings D and E.
if x = -3 is a zero of f(x), which of the following must be true?
a) A factor of f(x) is (x – 3)
b) A factor of f(x) is (x + 3)
c) x = 3 is also a zero
d) f(x) has no real solutions
Answer: B
Step-by-step explanation: You make the values in the parentheses equal to zero.
(X + 3) = 0
X = -3
A is wrong because the root would be 3, not negative 3. C is wrong because 3 isn’t guaranteed to be a root. D is wrong because -3 is a real solution.
A string 60 inches long is to be laid out on a tabletop to make a rectangle of perimeter 60 inches. Write the width of
the rectangle as 15 + x inches. What is an expression for its length? What is an expression for its area? What value
for x gives an area of the largest possible value? Describe the shape of the rectangle for this special value of x.
Answer:
Okay
Step-by-step explanation:
Hope this helps
Enjoy ur day
a) An expression for its length will be (15 - x) inches.
b) An expression for the area of rectangle will be (225 - x²) inch².
c) At x = 0 the rectangle has maximum area.
d) The shape of a rectangle will be square at x = 0.
What is Perimeter of a rectangle?
The perimeter of a rectangle with length L and width W is defined as;
Perimeter = 2 (L + W)
Given that;
Total length of string = 60 inches
Perimeter of rectangle = 60 inches.
Now,
a) When the width of rectangle is 15 + x inches.
Then, Expression for its length is calculated as;
Perimeter of rectangle = 2 ( length + width)
60 = 2 ( length + (15 + x) )
Divide by 2,
30 = Length + 15 + x
Length = 30 - 15 - x
Length = 15 - x
So, An expression for its length will be (15 - x) inches.
b) Length of rectangle = (15 - x) inches
Width of rectangle = 15 + x inches
Then, Area of rectangle = Length x width
Area of rectangle = (15 - x) × (15 + x)
Area of rectangle = 15² - x²
Area of rectangle = 225 - x²
Thus, An expression for the area of rectangle will be (225 - x²) inch².
c) When all sides of a rectangle is equal to each then, the area of a rectangle is maximum.
So, We can formulate,
Length = width
15 - x = 15 + x
2x = 15 - 15
2x = 0
x = 0
Hence, At x = 0 the rectangle has maximum area.
d) When x = 0,
Then, The sides of a rectangle are equal.
This imply that the shape of a rectangle will be square.
Therefore,
a) An expression for its length will be (15 - x) inches.
b) An expression for the area of rectangle will be (225 - x²) inch².
c) At x = 0 the rectangle has maximum area.
d) The shape of a rectangle will be square at x = 0.
Learn more about the rectangle visit:
https://brainly.com/question/28684467
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what is the equilvant expression 2^-2
Answertrkbjvncdmxs
nbjtrlkmg;e,'dmfnvhnjvlfkvmkj j nfcmkgtrj
Step-by-step explanation:
Solve the equation:
- 6n = 2 3/4
Answer:
n= 11/24
Step-by-step explanation:
hope it helps
can someone help me find answer.
Answer:
Your answer is 7 meters.
Answer:
A coral reef grew 7 meters.
Step-by-step explanation:
The prefix "milli" before any standard unit such as meters, grams, or seconds and etc., It means it takes 1000 milli units to make 1 standard unit. Example:
1 meter= 1 millimeters.
To solve this problem you need to cross multiply:
7000 millimeters 1 meter
multiply = 7 meters
1 month 1000 millimeters
Units that are the same and diagonal from each other cancel out.
So the answer is: Last month, A coral reef grew 7 meters.
so which one is it? a, b, c, or d? I NEED HELP ASAP NO STEP BY STEP NEEDED
THANKS SO MUCH :)
Answer:
The answer would be B. With equations, what you do to one side you have to do to the other.
What property is used to show that 6(x + 7) = 6x + 42?
Commutative property
Identity property
Distributive property
Associative property
Answer: Distributive because 6 has to be multiplied by x and 7
1/4(12x - 16) = 4 is equivalent to 3x - 16 = 4
Answer:
False, it's equal to 3x-4
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
On the average it takes the factory 4.2 hours to produce 6 truckloads of steel how many truckloads would the factory produce in 7 hours ?
Sherry uses the steps below to solve the equation x + (negative 8) = 3 x + 6.
Step 1 Add 1 negative x-tile to both sides and create zero pairs
Step 2 Add 8 positive unit tiles to both sides and create zero pairs.
Step 3 Divide the 14 unit tiles evenly among the 2 x-tiles.
Step 4 The solution is x = 7
What is Sherry’s error?
In step 1, she should have added 3 negative x-tiles to both sides.
In step 2, she should have added 6 negative unit tiles to both sides.
In step 3, she did not divide the tiles evenly.
In step 4, she should have found the solution x = negative 1.
Step-by-step explanation:
The given equation :
x + (negative 8) = 3 x + 6.
or
x+(-8) = 3x+6
Step 1.
Add (-3x) to both sides of the equation.
x+(-8) + (-3x) = 3x+6 +(-3x)
x-8 = 3x +6
Step 2.
Add 8 positive unit tiles to both sides and create zero pairs.
x-8+8 = 3x +6 +8
x = 3x +14
Step 3.
x-3x = 14
-2x = 14
x = -7
Hence, step 1 is incorrect as she should have added 3 negative x-tiles to both sides.
Answer:
Step 2
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
Answer:
august 1st
Step-by-step explanation:
5) What is the product of prime numbers immediately before and after 50?
Hey there!
The answer to your question is 2491
The two prime numbers immediately before and after 50 are 47 and 53, so 47 x 53 = 2491.
Hope this helps and have a great day!
Find the slope of the line (1,6) and (-3,0)
Answer:
slope= 3/2
Step-by-step explanation:
y2-y1/x2-x1=slope
0-6/-3-1= -6/-4 or 3/2
Answer:
(1, 6) is 1 quadrant and (-3, 0) is 2nd quadrant
PWEASE HELP :( NOW BEG YOU
Answer:
Step-by-step explanation:
-11f=7(1-2f)+5 solve for f
Answer:
4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
f = 4
Answer:
f = 4
Step-by-step explanation:
I got this answer ON Khan Academy.
Hope this helps! :)
WILL MARK BRAINLYIST
Answer:
what's the question
Step-by-step explanation:
lol but u could mark me brainlyist
Answer:
.....................................
Step-by-step explanation:
BRAINLIEST
please help and leave a small explanation:)
Answer:
Choose option D. Angle 3 and Angle 6
Step-by-step explanation:
Angle 3 = Angle 6 ( being alternate angels)
Hope it will help :)
Answer:
congruent means that they are the same angle so that being said, you can clearly tell that A, B, and C are not the same angles at all. and D is the only correct answer.
Step-by-step explanation:
I really hope this helps!
help me ill give you 10 points
Answer:
a) 4:6= 2:3 or 2/3 or .666666
b) 10:4= 5:2 or 5/2 or 2.5
Step-by-step explanation:
PLS help whats 800000000.0%x9000000.0%=p\
Answer: 720,000,000,000
Step-by-step explanation: Find your answer by multiplying the 2 percent's.
Let p, equal percent.
800000000.0%x9000000.0% = p
800000000.0%x9000000.0% = 720,000,000,000
720,000,000,000 = p
The radius of a circle is 13.9 ft. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answer:
87.3
Step-by-step explanation:
C=2piR
2×3.14×13.9=87.33
Which of the following best describes the expression 6(y + 3)?
Please !
Answer:
The product of a constant factor of six and a factor with the sum of two terms
Step-by-step explanation:
URGENT!!!! The area of a rectangular floor is 80 square feet. The length of the floor is 2 feet less than the width of the floor.
What is the width of the floor?
Drag the answers into the boxes to correctly complete the statements.
The equation Response area , where w is the width of the floor in feet, can be used to solve this problem. The width of the floor is Response area feet.
Answer:
The width of the floor is 10 ft.
Step-by-step explanation:
First, you have to form expressions of width and length in terms of w. With the given information :
width = w ft
length = (w - 2) ft
Given that the area of rectange is A = length × width so you have to subtitute the expressions and value into the formula :
A = l × w
80 = (w - 2) × w
w(w - 2) = 80
w² - 2w = 80
w² - 2w - 80 = 0
(w + 8)(w - 10) = 0
w + 8 = 0
w = -8 (rejected)
w - 10 = 0
w = 10
Decide if the statement is true or false.
7 is a solution of - 4x = -28.
True
Divide by -4 on both sides and you're left with x=7
Please solve
8-6(x-3) >-4x+12
Answer:
7 > x
Step-by-step explanation:
8-6(x-3) > -4x+12
Multiply 6 with the ones in the paranthesis:
8-6x+18 > -4x+12
Simplify numbers:
26-6x > -4x+12
Do the balance method:
12-26 > -6x+4x
-14 > -2x
Simplify to x:
-14/-2 > -2x/-2
7 > x
Answer:
Step-by-step explanation:
Here you go mate
Step 1
8-6(x-3) >-4x+12 Equation/Question
Step 2
8-6(x-3) >-4x+12 Simplify
-2x+26>12
Step 3
-2x+26>12 Subtract
-2x>-14
Step 4
-2x>-14 Divide
answer
x<7
Hey would someone help me with my math question ?
Answer:
Store number 1 has the best discount.
Step-by-step explanation:
Find how much of a discount you get from each store. For number 1 you find 30% of $150 by turning the percent to a decimal and multiplying, for number 2 you would subtract 150 - 30, and for number 3 you subtract 150 - 1/5. When all of this is done you get the greatest discount of $45 off from store number 1.
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 3 . If there were 4395 total votes, how many yes votes were there?
Answer:
There were 2747 yes votes.
Step-by-step explanation:
This question can be solved using proportions.
The ratio of yes votes to no votes was 5 to 3 .
This means that for each 5 + 3 = 8 votes, 5 were yes and 3 were no.
If there were 4395 total votes, how many yes votes were there?
For each 8 votes, we have 5 yes. How many yes votes were there in 4395 votes?
5 yes - 8 votes
x yes - 4395 votes
8x = 4395*5
x = 4395*5/8
x = 2747
There were 2747 yes votes.
I will give brainiest to whoever answers correctly !!
Answer:
March 19th
Step-by-step explanation:
Starting at November 20th, There are 10 days until the start of December
110 days left
December has 31 days
79 days left
January has 31 days
48 days left
February on a leap year has 29 days
19 days left
The load will be due on March 19th
Hilary sells makeup, primarily lipsticks and eye shadows. She sells the lipsticks for $10 and the eye shadows for $5. At a home show, she wants to sell at least $120 of these two products, knowing she has at most 20 items in her inventory that are either lipsticks or eye shadows.
She makes $7 on every lipstick and $3 on every eye shadow she sells. Use the information below:
Let x = lipsticks
Let y = eye shadows
Then $10x + $5y > $120
and x + y < 20.
The graph of these functions is shown to the right. It is impossible to sell a negative number of makeup items, so x and y both have to be greater than zero. Therefore, the functions are confined to the first quadrant.
Profit function:
P = $7x + $3y
How many lipsticks and eye shadows should be sold to maximize the total profit?
A.
The profit is maximized when 20 lipsticks and 0 eye shadows are sold.
B.
The profit is maximized when 12 lipsticks and 0 eye shadows are sold.
C.
The profit is maximized when 16 lipsticks and 4 eye shadows are sold.
D.
The profit is maximized when 4 lipsticks and 16 eye shadows are sold.
Estimate: 23.41 ÷ 3.1
Answer:
The answer is 8
The estimated answer is eight. Here‘s what I did. First, I rounded twenty three and forty-one hundredths to twenty-three. Then I rounded three and one-tenths to three.
I couldn’t quickly find an answer to twenty-three divided by three. So, I used compatible numbers, twenty-four divided by three… which equals eight.