Answer:
Length = 6 inches, Width = 10 inches
Step-by-step explanation:
A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches. What are the dimensions of the shingle?
Note :
L = Length
W = Width
The perimeter of a rectangle = 2( L + W)
The area of a rectangle = LW.
A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches.
32 = 2( L + W)
Divide both sides by 2
16 = L + W.... Equation 1
L = 16 - W
Also:
LW = 60....... Equation 2
Let us substitute 16 - W for L in Equation 2
(16 - W)W = 60
16W - W² = 60
W² - 16W + 60 = 0
W² - 6W - 10W + 60 = 0
W(W - 6) - 10(W - 6) = 0
W - 6 = 0, W = 6 inches
W - 10 = 0, W = 10 inches
Solving for L
W = 10
L = 16 - 10
L = 6 inches
Therefore, the dimensions of the shingle =
Length = 6 inches, Width = 10 inches
what expression is equivalent to -3(6x+7)+4(7x+2)
Answer:
10x-13
Step-by-step explanation:
First Distribute:
-18x-21+28x+8
Then combine like terms:
10x-13
if 15 workers complete a piece of work in 18 days in how many days will 27 workers complete the same work?
10 days is your answer
Answer:
15 workers =18 days to complete work
1 worker =18×15=270 days to complete work
27 worker=270/27=10 days to complete work
What is the slope of the line that passes through the points (-6,8) and (-16,33)
Answer:
-5/2 or -2.5
Step-by-step explanation:
Find the slope using rise over run (y2 - y1) / (x2 - x1)
(y2 - y1) / (x2 - x1)
(33 - 8) / (-16 + 6)
25 / -10
= -5/2
So, the slope is -5/2 or -2.5
Answer:
Solution :-We know that
Slope
[tex] \bf \: \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
Where
y2 = 33
y1 = 8
x2 = -16
x1 = -6
33 - 8/-16 - 8
25/-24
please help with question 2
Answer:
K=3
Step-by-step explanation:
Substitute the X with 7.
-6x7+18=k(7-15)
Distribute and combine
-42+18= = -8k
Combine like terms
-8k= -24
K= 3
Answer:
The answer is k=3
cos 55 degrees = sin x
question number 20 to 22
Answer:
20) Rectangular prism, Rectangle base
21) Triangular Prism, Triangle base
22) Pyramid, Triangle base
Step-by-step explanation:
Look at the picture
Can someone help me plzzz and thank you
Answer: 20 I think
Step-by-step explanation:
Pls help! I am really stuck.
Find the domain of this graph.
Answer:
8
Step-by-step explanation:
The domain is from the points (-4,0) through (4,0).
Work out the point of intersection of the lines
2x + 3y = 11 and 2y = 13 – 3x
Answer:
x = 3.4
y = 1.4
Step-by-step explanation:
2x + 3y = 11
2y = 13 – 3x, then y = (13 - 3x)/2
substitute for y:
2x + 3((13 - 3x)/2) = 11
reduce:
2x + (39 - 9x)/2 = 11
reduce:
2x + 19.5 - 4.5x = 11
subtract 19.5 from both sides of the equation and combine for x:
-2.5x = -8.5
divide both sides by -2.5:
x = 3.4
y = (13 - 3(3.4))/2 = (13 - 10.2)2 = 1.4
If sin0= 2/5, find csc0.
Answer: D I think
Step-by-step explanation:
Add the following lengths:
12' 11"
+ 11' 3”
Answer:
24'2
Step-by-step explanation:
Please answer (NO SPAMMING) What is the sum of 56.4t + 1650kg? Give your answer in Kg
Answer:1,706
Step-by-step explanation:
Add
Answer:
58,050,000 grams= 58050kg
Step-by-step explanation:
58059kg is the answer
The table shows information about the type and number of sandwiches ordered by 80 customers. If 120 customers order a sandwich, how many would you expect to order a club?
Answer:
54
Step-by-step explanation:
80 Customers divide that by 2 =40
36÷2= 18
So if 120 Customers were to order then you would just add 18 to 36 and that would make it 54.
Basically just find how many clubs are bought in 40 customers then multiple it by 3
Write a new expression to represent the account balance, in dollars, if interest compounded quarterly.
Answer: A
Step-by-step explanation:
You already chose the answer lol
What is the area of these
Answer:
1. 32 2. 22
Step-by-step explanation:
Count the squares, if there are half a squares it is .5 added to the total.
Tell whether x and y show direct variation, inverse variation, or neither.
y-3 = 22
the variables show: (inverse variation, direct variation, or neither)
Answer:
thWhat is c hw wrin hd dont know if I know what x is to find the answer
9 - 6x + 5
???????????
Answer:
x=2/3
Step-by-step explanation:
so if you are look for x its 2/3 but if you are look for how to rewrite it its 3x=2
Jonah reads 5 1/2 chapters in his book in 90 minutes. How
long did it take him to read one chapter?
Answer: 16 minutes (16.36)
Step-by-step explanation:
5.5 = 90
1 = ?
90 / 5.5 = 16.36363
1 = 16 minutes
Luke earned a grade of 73% on his multiple choice history final that had a total of 200 problems. How many problems on the final exam did Luke answer correctly?
Answer:
146 answers correctly
Step-by-step explanation:
Answer:
He answered 146 questions correctly.
Step-by-step explanation:
This is because 73% of 200 is 146.
Which of these pairs of points defines a line with slope 0? OA) (1, 4) and (-4,4) OB) (4, 1) and (-4, 4) OC) (-1,4) and (4, -4) OD) (4, -1) and (4, -4)
Answer:
D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I took the test on EDGE 2022
One box of strawberries cost $5. Which equation can be used to calculate the most number of boxes a person can buy with $307 30 =5n 30 = 5+n 5 = 30 5 = 30 + in
Answer:
30 = 5n
n = 6
Step-by-step explanation:
A box of strawberry cost = $5
A person has = $30
Number of boxes a person can buy = n
Equation to calculate the most number of boxes a person can buy with $30
Amount with the person = cost of a strawberry × number of strawberry
30 = 5 * n
30 = 5n
n = 30/5
n = 6
Write and equation for a parabola
Answer:
(y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2
Step-by-step explanation:
Common memory sense
can someone help me
whats the answer to this 2-10<=22
Answer:
[tex]infinitely \: many \: solution[/tex]
Step-by-step explanation:
simplify 2 - 10 to -8.
[tex] - 8 \leqslant 22[/tex]
Since -8 ≤ 22 is always true, there are infinitely many solutions.
hence, there are infinitely many solutions for this equation.
The exponential function), whose graph is given below, can be written as h(x) = a•b^x.
Complete the equation for h(x).
Answer:
Step-by-step explanation:
h(x)=a*b^x
it passes through (0,6) and (1,4)
6=a*b^0
6=a*1
a=6
h(x)=6*b^x
4=6*b^1
b=4/6=2/3
[tex]h(x)=6*(\frac{2}{3} )^x[/tex]
Solve for x?
NO LINKS OR FILES
Answer:
50
Step-by-step explanation:
The triangle is an isosceles triangle as shown with the lines on the sides of the triangles. That means the unknown angle is 35 degrees since angle Q cannot be 35 degrees. Solve the equation:
2x + 80 = 180
2x = 100
x = 50
Can I have Brainliest?
Selena has a circular tablecloth with a radius of 3.1 feet. What is the circumference of the tablecloth? Use 3.14 for π. Show your work. Use estimation to check your answer
Answer:
Ok all you need to do is multiply 3.14 by 3.1
Noah will select a letter at random from the word “FLUTE.” Lin will select a letter at random from the word “CLARINET.”
1. What is the probability Noah chooses the letter E from the word FLUTE?
2. What is the probability Lin chooses the letter E from the word CLARINET?
3. Which person is more likely to pick the letter “E?” Explain your reasoning using your answers from questions #1 and #2.
Answer:
20% & 12.5%
Step-by-step explanation:
1. 1/5 = 0.2 or 20%
2. 1/8 = 0.125 or 12.5%
3. Noah is more likely to select 'E' because he has a higher percentage or probability of selecting it. 0.2 is greater than 0.125
Please mark brainliest
Please mark brainliest
Find x, the missing side length in the right trienagle.
12
X
20
Answer
Answer:
x=16
Step-by-step explanation:
20^2-12^2=256
sqrt256=16
The 9th term of arithmetic sequence is 37 and 16th term is 65 find the 100th team
.
Answer:
a₁₀₀ = 385Step-by-step explanation:
The nth term of arithmetic sequence is [tex]a_n=a_1+d(n-1)[/tex]
So:
[tex]a_9=a_1+d(9-1)\\\\37=a_1+8d\\\\a_1=37-8d\\\\\\a_{16}=a_1+d(16-1)\\\\65=a_1+15d\\\\65=37-8d+15d\\\\28=7d\\\\d=4\\\\a_1=37-8\cdot4=5\\\\\\a_{100}=a_1+d(100-1)=5+4\cdot95=385[/tex]
Hannah’s Houseboats, which usually
charges $100 per night, is now offering a
discount. If you stay eight nights and pay a
total of $560, what percentage discount did
you receive?
Answer:
30%
Step-by-step explanation:
Since you paid 560 dollars for 8 nights, you can divide to see how much you pay one night. You pay 70 dollars per night. So 30% off from $100 is $70
Answer:
30 percent
Step-by-step explanation:
math