Answer:
x = 6
Step-by-step explanation:
Add 12 to each side, so it now looks like this: 5x = 30Divide each side by 5 to cancel out the 5 next to x. It should now look like this: x = 6I hope this helps!
The length of a rectangular deck is 5 times it’s width. If the decks perimeter is 36feet, what is the deck area?
Answer:
45
Step-by-step explanation:
P = 2(L+W)
36 = 2(5W + W)
36 = 10W + 2W
36 = 12W
W = 3
5W = 5(3) = 15
15 x 3 = 45
The area of a rectangular deck is 45 square feet.
Given that, the length of a rectangular deck is 5 times it’s width.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
The decks perimeter is 36 feet
Let the width of a deck is w, then the length of a deck is 5w.
Now, 2(5w+w)=36
⇒ 6w=18
⇒ w=3 feet
So, length=5w=15 feet
Area =15×3
= 45 square feet
Therefore, the area of a rectangular deck is 45 square feet.
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Prove the following
please help
Step-by-step explanation:
5. I assume you mean this:
(cos²x / sin x) + sin x
Add using common denominator.
(cos²x / sin x) + (sin²x / sin x)
(cos²x + sin²x) / sin x
Use Pythagorean identity.
1 / sin x
csc x
6. tan²x cos²x
Write tangent in terms of sine and cosine.
(sin²x / cos²x) cos²x
Simplify.
sin²x
Use Pythagorean identity.
1 − cos²x
Two angles are complementary. One angle is 5 times as large as the other. What is the measure of each angle?
Answer:
15 and 75
Step-by-step explanation:
complementary - add up to 90 degrees
x+5x=90 degrees
6x=90 degrees
x=90/6
x=15
15*5=75
I don’t understand this question.
Find the LCM of the given numbers 24 36
A:36
B:72
C:144
D:864
Answer:
B
Step-by-step explanation:
24*3=72
36*2=72
Joseph read 9 books in 15 months. What was his rate of reading in books per month?
Answer: 0.6 books
Step-by-step explanation: Divide 9 by 15 to get 0.6 books a month.
( I think) I’ve done this before , this certain question.
The ratio of children to teachers at a preschool is 14:5. How many children are at the preschool if there are 30 teachers?
Answer:
14 30
----- = ------
5
cross multiple 30(5)=150
divide 150/14= 10.7142857
idk if they want you to round but
11 or
10.7
Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with ¾ yard of fabric. The fabric costs $8 per yard. You'll apply properties of multiplication in the following steps to find the total cost of the fabric.
you will need 9 and 3/4 for the 13 pairs of butterfly wings. if you were doing that, the total price would be $78. if you needed to have a whole number for yards, you would round up to 10 and the total price would be $80
Answer:
you will need 9 and 3/4 for the 13 pairs of butterfly wings. if you were doing that, the total price would be $78. if you needed to have a whole number for yards, you would round up to 10 and the total price would be $80
PLEASE HELP ME
THIS IS DUE IN 10 MINUTES
Answer:
3rd and 4th one.
Step-by-step explanation:
If a right triangle has two legs of 7m and 24m what is the length of the longest side? *
Answer:
It would be 24m
Step-by-step explanation:
The longest side of a right triangle is the hypotenuse.
Use the Pythagorean theorem to solve for the hypotenuse:
X = sqrt(7^2 + 24^2)
X = sqrt( 49 + 576)
X = sqrt(625)
X = 25
The longest side is 25m
help i am stuck look at the image to see but here anyways A teacher is planning a class trip to the aquarium. The aquarium requires two chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones and how many are for students
Answer:
Kids- 75
Chaperones- 10
Step-by-step explanation:
We know that the total is 85 tickets. then the aquarium requires 2 chaperones for 15 kids, so you need to do...
15 + 2 = 17
85 / 17 = 5
15 x 5 = 75
2 x 5 = 10
check you work-
75 + 10 = 85
Jamall has 20 mo of planes and cars. He has three times as many cars in points. What is the
But what is the question
A pump fills an empty pool at a rate of 500 cubic meters per hour. If one liter is equivalent to one cubic decimeter and 1 meter is equal to 10 decimeters, how many liters of water are in the pool half an hour after the pump starts?
If a liter equals a cubic decimeter and a meter equals ten decimeters, then 250,000 liters of water is filled in the pool in half an hour.
What is meant by cubic decimeter?1000 cubic centimeters make up one cubic decimeter. Repeating this procedure would allow us to translate between cubic centimeters and meters or between cubic decimeters and meters. We must keep in mind three conversions. 1000 cubic centimeters is equal to one cubic decimeter.
1 cubic meter = 1000 liters
because, 1 liter = 1 decimeter³
1 meter = 10 decimeters
1 decimeter= 0.1 meters
1 liter = 0.1³ meter³
1 m³ = 1000 liters
Given:
In 1 hour the amount of water filled = 500 cubic meters
In half an hour the amount of water filled = 250 cubic meters
= 250,000 liters.
Therefore, 250,000 liters of water exists filled in the pool in half an hour.
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Find the slope between the points.
(4, -6) and (-2, 1)
Answer:
m = (y2-y1)/(x2-x1)
m = (1-(-6))/(-2-4)
m = 7/ -6
If (8, 3) is rotated 90o about the origin the new point would be:
A.
(3, -8)
B.
(-8, 3)
C.
(-3, 8)
D.
(8, -3)
Answer:
A.
(3, -8)
Step-by-step explanation:
Answer:
C is the answer
Step-by-step explanation:
The rule is that(x,y)-->(-y,x) so therefore making it c
2.72981366 rounded to nearest hundredth
Answer:
I would say 2.73 or 2.72 l can never remember which it is
Step-by-step explanation:
Sorry if it’s wrong!!!
Answer:
2.73
Step-by-step explanation:
find the mean of the data 5,5,8 set
Answer:
the mean is 6
Step-by-step explanation:
5+5+8= 18
then divide 18 by 3 bc there is 3 numbers and u get 6
hope this helps
John increased the amount of water he drinks every day from 20 fluid ounces to 48 fluid ounces. By what percentages did John increases the water he drinks?
A. 15%
B. 28%
C. 140%
D. 12.5%
Answer:
C. 140%
Step-by-step explanation:
Turner's bookshelf has 6 shelves. Each shelf has 17 books. How many books are on the bookshelf?
Answer:
102 books
Step-by-step explanation:
Answer:
102 Books
Step-by-step explanation:
Multiply 6 by 17
What does the confidence interval of a confidence level of 99% tell about the population of all college students in the state? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
Answer:
we need to know the options
Step-by-step explanation:
Please help me fast.
Answer:
26
Step-by-step explanation:
all you have to do is count and add i took the test before
The Empire State Building is 1,250 feet tall. Maria wants to make a model that has a scale of 1/4 foot = 50 feet. How to tall will her model be?
Answer: 25 Feet.
Step-by-step explanation: 1,250 % 50.
7. Solve the equation using inverse operations. 3 + x = 7
a.
b. x
Il
c. x = 16
d. x = - 16
last week drew worked 7.9 hours. this week he worked 8.6 hours. how many more hours did he work this week than last week?
Answer:
0.7 more hours
Step-by-step explanation:
8.6 - 7.9 = 0.7 more hours
Which best describes the solution set of the compound inequality below?
Answer:
Option B. 4<=x<=6 is the solution set.
Aaron charges $15 to mow the lawn and $10
per hour for other gardening work. Which
expression represents his earnings?
F. 10h
G. 15h
H. 15h+10
J. 15+10h
Answer:J
Step-by-step explanation:
What’s the slope for (15,8) (10,7)
Answer:
[tex]\frac{1}{5} = 0.2[/tex]
I hope this helps!
Which of the following is a geometric sequence?
A. 3, 6, 9, 15, 24
B. 2, 4, 8, 16, 32
C. 6, 13, 20, 27, 34
D. 2,5,7,12,19
6.333 x 10^2 standard form
MY BAD!
Answer:
633.3
Step-by-step explanation:
Which of the following is a proposed solution that is not a solution of the original equation?
an extraneous solution
conditional solution
an exponential solution
a radical solution
9514 1404 393
Answer:
an extraneous solution
Step-by-step explanation:
A solution that shows up as a result of the process of solving an equation, but that does not work in the original equation, is called "an extraneous solution".
_____
Additional comment
Radical and rational expression equations can have extraneous solutions. For radical equations, they are typically ones that require a negative square root (or negative root of even index). For rational expression equations, they typically involve "excluded" values, values that make a denominator be zero.