Answer:
Cost of one bundle of shingles is $20 and cost of one roll of roofing paper is $110.
Step-by-step explanation:
Let the cost of each bundle of shingles = x
And cost of the roofing paper = y
Contractor buys 30 bundles of shingles and 4 rolls of roofing paper for $1040.
30x + 4y = 1040
15x + 2y = 520 -----(1)
In a second purchase contractor buys 12 bundles of shingles and 16 rolls of roofing paper for $2000
12x + 16y = 2000
3x + 4y = 500 --- (2)
Equation (1) multiplied by 2 then subtracted from equation (2)
(3x + 4y) - 2(15x + 2y) = 500 - 1040
(3x - 30x) + (4y - 4y) = -540
-27x = -540
x = 20
From equation (1)
15(20) + 2y = 520
300 + 2y = 520
2y = 220
y = 110
Therefore, cost of one bundle of shingles is $20 and cost of one roll of roofing paper is $110.
Select the correct answer.
What is the value of x in this linear system?
2x + 8y – z = -9
y + z = 7
-x– y + z = 8
A.0
B.-7
C.7
D.-1
please help me out with this
Answer:
1) Since 4(5+x) is 4*5+4*x, and because 4*5+4*x is
Find the area of the shape shown below.
Answer:
42
Step-by-step explanation:
Because of its shape I would imagine another flipped so it makes a square then solve for the square the divide.
7 x 12 =84
84÷2=42
please write an equation of a line in slope-intercept form with the given slope and y-intercept.
A. slope: -6, y-intercept: -2
B. slope: 1, y-intercept: -12
If g(x) = f(4x), which statement is true?
Answer:
I believe its the last answer.
Step-by-step explanation:
a local hamburger shop sold a combined total of 613 hamburgers and cheeseburger on Friday. there were 63 more cheeseburger sold than hamburger. How many hamburger were sold on friday
Answer:
275 hamburgers was sold on Friday
Pancake Palace puts a pint of maple syrup on each one of their 16 tables. The owner is filling the syrup bottles before the restaurant opens. If the bottles are half full, how many quarts would he need to fill the bottles?
Answer:
64 quarts of maple syrup needed
Step-by-step explanation:
There are a total of 2 quarts in a 1 pint. Therefore, since there are a total of 16 tables and each one has 1 pint, then there are a total of 16 pints in the restaurant. If we multiply this by 2 we get the total amount of quarts of maple syrup in all of the tables
16 * 2 = 32 quarts of maple syrup
Since the bottles are only half full we need to multiply this amount by 2 in order to get the total syrup needed to have all of the bottles filled completely.
32 * 2 = 64 quarts of maple syrup needed
Answer:
4 Quarts
Step-by-step explanation:
You need to find how much maple syrup the owner needs to fill the bottles. But first, you need to find how much syrup the bottles hold in all.
There are 16 bottles. Each bottle holds 1 pint of maple syrup. So, the bottles hold a total of 16 pints of syrup.
Now, find how much maple syrup the owner needs. The bottles hold a total of 16 pints of syrup. Because they are half full, divide by 2.
16÷2=8
The owner needs 8 pints of maple syrup, but the problem asks about quarts. So, find how many quarts are equal to 8 pints. There are 2 pints in a quart, so divide by 2.
8÷2=4
The owner needs 4 quarts of maple syrup to fill the bottles.
What is the solution to this equation 4x=124
Answer:
31
Step-by-step explanation:
divide 124 by 4
x=124
Answer:
x=31
Step-by-step explanation:
Divide both sides of the equation by the same term
4x/4 = 124/4
Then you have to divide the numbers.
x= 124/4
x= 31
the ratio of lampreys to oarfish in the marine aquarium was 27:22 if there were 162 lampreys in the aquarium how many oarfish were there
Answer:
132
Step-by-step explanation:
First divide the number of lampreys by the ratio.
162/27=6
Then multiply the result (6) by the oarfish part of the ratio
22*6=132
Sandra buys stamps that cost $0.65 each she spends a total of $158.60 on the stamps. To determine how many stamps she buys, she needs to divide $158.60 by $0.65
Answer:
True
Step-by-step explanation:
When she divides both numbers, she can find out how many stamps she bought. When you solve the equation, we can see that she bought 244 stamps. We can check this by doing inverse operations. 244 x 0.65 (the price for each stamp) = 158.60
i hope that this helps you :)
Solve for y
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
5y +3> -7y + 13
Answer:
y > 5/6
Step-by-step explanation:
that's what i got
let me know if it was right
if it was pls mark brainlest
Answer:
y>5/6
Step-by-step explanation:
Got it right
What is the slope of a line perpendicular to the line whose equation is x+3y=-12
Answer: 3
Step-by-step explanation:
Find slope of that line which is -1/3x-4
then flip its sign and the equation to get 3
Solve using substitution
x-y= 6
4x+2y=36
The demand d for a company’s product at cost x is predicted by the function d(x) = 500 – 2x. The price p in dollars that the company can charge for the product is given by p(x) = x + 5. Use the formula Revenue = price × demand to find the revenue function for the product.
R(x) = ________ + ________ x – _______ x^2
Answer:
-2x²+490x+2500
Step-by-step explanation:
Given that,
Demand, D(x) = 500-2x
The price for the product, P(x) = x+5
We need to find the revenue for the product. The formula for the revenue is given by :
Revenue = price × demand
Substitute all the values,
R = (x+5)(500-2x)
= 500x -2x² + 2500 -10x
= -2x²+490x+2500
So, the expression for the revenue function is "-2x²+490x+2500".
Alice sells bracelets 10 for $5. How much does 1 bracelet cost?
Answer:
FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"
READ PROMPT
Step-by-step explanation:
Answer:
$2
Step-by-step explanation:
Because Alice sells 10 bracelets for 5 dollars, you have to do 10/5 which is equal to 2. Therefore, 1 bracelet cost $2.
A tool box has the dimensions of 9 in by 3 in by 6 in. If Rick plans to double all three dimensions to build a larger tool box, he believes he would double the volume of the tool box. Is he correct?
Answer:
No; it will not double the volume of the box
Step-by-step explanation:
Tennis practice last for 1 hour and 35 minutes
Answer:
Where's the rest of this question??
How many angles do 5 triangles and 3 rectangles have?
(1) 7
(2) 17
(3)
18
(4) 27
Answer:
27
Explanation:
5 * 3 = 15 (5 triangles with 3 angles each)
3 * 4 = 12 (3 rectangles with 4 angles each)
15 + 12 = 27
Answer:
the answer is 27 because a triangle has 3 sides so multiply 3 tomes 5 because of how many triandles and then the same with the rectangle that has 4 sides then multiply by 3 because of the number of triangles you have
3/2 p - 14 = p + 13
Please help
Answer:
p=54 hope this helps
Step-by-step explanation:
One year, the population of a city was 330,000. Several years later
it was 270,600. Find the percent decrease.
Answer:
18% Decrease.
Step-by-step explanation:
You can use this formula for % decrease questions. :)
Decrease= Starting value (original) - Final Value (the smaller number) / starting value x 100.
Hope this helps,
Azumayay
if 4=p (p+5)=21 find p
Answer:
p=16?
16+5=21?
Step-by-step explanation:
16+5=21
What is the area of the part that is not shaded.
Answer: 48
Step-by-step explanation:
big square is 64, shaded square is 16
64-16= the unshaded region
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450. What is the interest rate percentage? Round the answer to the nearest hundredth.
Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.
Rule for the continuous compounding: Expression for the final amount comounded continuously is given by,
Final amount = [tex]Pe^{rt}[/tex]
Here, P = Principal amount
r = Rate of interest
t = Duration of investment
Given in the question,
P = $181.25
t = 7 years
Final amount = $1450
Substitute these values in the expression,
[tex]1450=181.25e^{7r}[/tex]
[tex]e^{7r}=8[/tex]
[tex]\text{ln}(e)^{7r}=\text{ln}(8)[/tex]
[tex]7r=2.07944[/tex]
[tex]r=0.2971[/tex]
[tex]r=29.71\%[/tex]
Therefore, rate of intereset for the investment is 29.71%.
Learn more about continuous compounding here,
https://brainly.com/question/13079114?referrer=searchResults
A function is shown below.
g(x)=19.60+1.74x
What is the value of g(30)?
Answer:
g(30) = 71.8
Step-by-step explanation:
g(30) = 19.6 + 1.74(30)
The value of the g(30) is 71.8 if the function is g(x) = 19.60 + 1.74x
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
g(x)=19.60+1.74x
Plug x = 30
g(30) = 19.60+1.74(30)
g(30) = 19.60 + 52.2
g(30) = 71.8
Thus, the value of the g(30) is 71.8 if the function is g(x) = 19.60 + 1.74x
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
Order the angles in each triangle from smallest to largest.
9514 1404 393
Answer:
B: L, M, N
Step-by-step explanation:
The sides are listed from shortest to longest. The angles opposite these sides will be in order smallest to largest. The name of the opposite angle is the vertex whose name is missing from the side's name.
MN is opposite angle L, the smallest
LN is opposite angle M, the middle-size
LM is opposite angle N, the largest.
Smallest to largest, the angles are ∠L, ∠M, ∠N.
One bar of candy A and two bars of candy B have 777 calories. Two bars of candy A and one bar of candy B contain 783 calories. Find the caloric content of each candy bar.
Answer:
A has 263 calories
B has 257 calories
Step-by-step explanation:
system of equations:
a + 2b = 777
2a + b = 783
I multiplied the first equation by -2 to eliminate the 'a' terms
-2a - 4b = -1554
+ 2a + b = 783
-3b = -771
b = 257
solve for 'a'
a + 2(257) = 777
a + 514 = 777
a = 263
find the following sum 7(3x2+2x-5)+2(-x2+3)
I think is -7
Step-by-step explanation:
because I calculated I'm not sure tho
Please help me pleasere
Answer:
7
Step-by-step explanation:
at a farm the ratio of the number of hens to the number of ducks is 3:5 there are 125 ducks at the farm how many hens are there on the farm
3 : 5
x : 125
125 ÷ 5 = 25
25 × 3 = 75
no. of hens = 75
Tutoring ABC charges $50 sign up fee plus $12 an hour . HW helps charge a $38 sign up fee plus $15 an hour . After how many hours will the total for each company be the same
Answer:
Step-by-step explanation:
Tutoring ABC - $50 sign up and $12 an hour
HW helps- $38 sign up and $15 an hour
50 38
+12 +15
62 53
+12 +15
74 68 Four months
+12 + 15
86 83
+12 +15
98 98