A rain gutter along the edge of a roof has the shape of a rectangular prism. It is 11 inches high, 2 inches wide, and 11 feet long.
How much water can the gutter hold in cubic inches?
in gallons? Use the fact that 1 gallon = 231 cubic inches
Please show how you got your answers
The gutter can hold_______cubic inches of water.
The gutter can hold about_______gallons of water.
(Round to the nearest tenth as needed.)
Answer:
hi love u
Step-by-step explanation:
wanna talk its bruce
help me, the picture down below
Answer(s):
y = 2(x - 1)2 + 3
y = 2(x2 - 2x + 1) + 3
y = 2x2 - 4x + 2 + 3
y = 2x2 - 4x + 5
Answer:
y = -3/4(x + 2)² + 6Step-by-step explanation:
Vertex form of quadratic function:
y = a(x - h)² + kGiven a graph with:
Vertex = (-2, 6)Points: (-6, -6), (2, -6)We can see that:
h = -2 and k = 6, a is negative (parabola opens down)The equation becomes:
y = a(x + 2)² + 6Substitute coordinates (-6, -6) into the equation to find the value of a:
-6 = a(-6 + 2)² + 6-6 = 16a + 616a = -12a = -12/16a = -3/4The function becomes:
y = -3/4(x + 2)² + 6(5p-q) (2p^2-3pq-2q^2)
Answer:
10pq^3 + 2q^3 - 17qp^2 - 7pq^2
Step-by-step explanation:
(5p-q) (2p^2-3pq-2q^2)
= 10p^3 - 15qp^2 - 10pq^2 - 2qp^2 + 3pq^2 + 2q^3
= 10pq^3 + 2q^3 - 17qp^2 - 7pq^2
3х + Зу = -x+5y ordered pair
Answer:
2x-y=0
x=1/2y
Step-by-step explanation:
Answer:
Your solution is (1/2, 1).
Step-by-step explanation:
3х + Зу = -x + 5y
First we want to look at each side of the equation separately.
3х + Зу ⇒ This expression is fully simplified because you cannot add different variables together.
-x + 5y ⇒ This expression is fully simplified because you cannot add different variables together.
3х + Зу = -x + 5y
Now, let's bring the like terms together.
[add x to both sides]
x + 3x + 3y = -x + x + 5y
4x + 3y = 5y
[subtract 3y from both sides]
4x + 3y - 3y = 5y - 3y
4x = 2y
We want to solve for one variable at a time, so let's isolate x.
[divide both sides by 4]
4x/4 = 2y/4
x = 1/2y
Now we have an expression for x. Plug this expression in to your original equation.
3х + Зу = -x + 5y
3(1/2y) + 3y = -(1/2y) + 5y
According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should multiply first.
3(1/2y) + 3y = -(1/2y) + 5y
3/2y + 3y = -1/2y + 5y
Now let's add on each side.
9/2y = 9/2
Now we need to isolate y by dividing both sides by 9/2 (or multiplying by its reciprocal 2/9 ← This is often easier to understand when written)
[tex]\frac{2}{9} (\frac{9}{2} y) = \frac{9}{2} (\frac{2}{9} )[/tex]
In this form, we can see that the fractions cancel each other out.
y = 1
Now that we have the value of y, plug it into our equation for x.
x = 1/2y
x = 1/2(1)
Multiply.
x = 1/2
Your solution is (1/2, 1).
You're almost done! Check your answer by plugging in both these values in to your original equation.
3х + Зу = -x + 5y
3(1/2) + 3(1) = -(1/2) + 5(1)
Multiply.
3(1/2) + 3(1) = -(1/2) + 5(1)
3/2 + 3 = -1/2 + 5
Add.
9/2 = 9/2
This equation is true, therefore your answer is correct!
Hope this helps!
i have 8 mins to turn this in, what’s the answer?? thanks :)
Answer:
i think b???
Step-by-step explanation:
Answer:x=10 y= 10 square root 2
Step-by-step explanation:
As Tish and Tan were traveling to their next cross country meet they followed their progress along on a map The map showed a scale of one inch equaling 60miles their routes total length on the map is 2 1/2 inches long how far will they travel?
I’m not sure I am so sorry
5. Segment A' B' is parallel to segment AB.
a. What is the length of segment A' A?
b. What is the length of segment B' B?
Answer:
A=(−1,3),B=(4,−9)
We know that the distance between two points
d=
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
Therefore,
d=
(4−(−1))
2
+(−9−3)
2
d=
(4+1)
2
+(−12)
2
d=
(5)
2
+(−12)
2
d=
25+144
d=
169
d=13 units
The side lengths of A'A and B'B are 18 and 9 respectively.
What are similar triangles?When the respective sides are proportional and the corresponding angles are congruent, two triangles are said to be similar.
Given that, segment A'B' is parallel to segment AB.
Let A'A =x and B'B = y.
Since the segments are parallel the triangles ΔA'B'C and ΔABC are similar.
As per the property of similar triangles, it follows:
12/8 = (12 + x)/20
12 + x = (12/8)20
x = 18
And,
6/8 = (6+y)/20
6 + y = (6/8)20
y = 9
Hence, the side lengths of A'A and B'B are 18 and 9 respectively.
Learn more about similar triangles:
https://brainly.com/question/25882965
#SPJ2
The length of a shadow of a tree is 74 feet. If the angle of elevation from the end of the shadow to the
top of the tree is 28º, find the height of the tree to the nearest foot.
When Groundhog Day is
on a weekday,
around15,000 people
attend the events in
Punxsutawney, PA. If two-
thirds take the shuttle bus
to the park for $5 and the
rest pay $25 for parking,
how much money does
the city earn?
====================================================
Work Shown:
2/3 of 15,000 = (2/3)*15000 = 10,000
This means 10,000 people take the shuttle bus to the park. If each person pays $5 to take the bus, then the city earns 5*10,000 = 50,000 dollar through this option.
The rest pay for parking, so 15,000-10,000 = 5,000 people pay for parking. At $25 each, this amounts to 25*5,000 = 125,000 dollars earned through this option.
Overall, the city earns a total of 50,000+125,000 = 175,000 dollars
Side note: this assumes that the remaining 5,000 people all take separate cars and no single car has more than one person. This is very unrealistic as there are likely to be families or carpools of some kind. So in reality, the answer shown above is an upper estimate of the total revenue.
Answer:
DOIN IT FOR THE BAG MY GUY
Step-by-step explanation:
A large university accepts 40% of the students who apply. Of the students the university accepts, 35% actually enroll. If 30000 students apply, how many actually enroll?
Answer:
the students enroll is 4,200
Step-by-step explanation:
The computation of the students enroll is shown below:
= Number of students × applied percentage × enrolled percentage
= 30,000 × 40% × 35%
= 4,200
hence, the students enroll is 4,200
Help me pleaseeeeeee
Answer:
6.8 is greater than 6.5
Step-by-step explanation:
Answer: A (6.8 is greater than 6.3)
Step-by-step explanation:
A (6.8 is greater than 6.3)
Find the measure of each interior angle.
Answer:
d. m<R = 128, m<S = 52, m<T = 128, m<U = 52
Step-by-step explanation:
The sum of interior angles in this rectangle is equal to 360°
6x - 4 + 2x + 8 + 2x + 8 + 6x -4 = 360° add like terms
16x + 8 = 360 subtract 8 from the both sides
16x = 352 divide both sides by 16
x = 22 now to find the value of each angle replace x with 22
Abigail and her children went into a movie theater and she bought $71.50 worth of drinks and pretzels. Each drink costs $4 and each pretzel costs $4.75. She bought a total of 16 drinks and pretzels altogether. Determine the number of drinks and the number of pretzels that Abigail bought.
Answer: Drinks 6 pretzels 10
Step-by-step explanation:
It just is my g
Use the Distributive Property to rewrite each expression.
8 (2m + 1)
Answer: 16m+8
Step-by-step explanation: 8 (2m + 1)
16m+8
Jordan walks 250 m North towards school. He forgets his backpack and walks 250 m South back to his house. He then finds his backpack and walks 900 m North. He gets to school in 9 minutes. What is his velocity in meters per minute
Answer:
10 m / minute
Step-by-step explanation:
Starting position = North ; back to North gives a Displacement of 0 ; the from that position to 900 m south gives a final Displacement of 900
Displacement / time
Displacement = 900
Time = 9 minutes
900 / 9
= 10 m / minute
1) What operation is represented in the expression 4(x+4)?
A) Product
B) Power
C) Difference
D) Quotient
Answer:
a
Step-by-step explanation:
it is
1. Kelly ate 3 apples. This represents 50% of the bag of apples. How many apples were originally in the bag?
there were 6 apples
this is simple math
Answer:
6
Step-by-step explanation:
Half of 6 is 3 and 3x2 will give you 6 if you plug it back in
hope this helps!
Spencer is designing the interior of a house. The length of one room is twice as long as it's width
PLEASE HELP !!
find the length of arc AB. round your answer to the nearest hundredth
Answer:
The answer will be MAB= 19.53m
Step-by-step explanation:
hope it helps have a great day ^_^
FIRST WILL BE MARKED BRAINLIEST!
Sarah went on a car trip with her parents. If they traveled 150 miles before their first hour (30 minute)
break and another 300 miles before their second 7 hour (30 minute) break what was the average speed if
they got to their destination in 6 hours not including the 2 stops?
Answer:
75 miles per hour
Step-by-step explanation:
they traveled 450 miles in 6 hours
450/6 = 75 mph
I bought a pack of 6 water bottles for $3. how much is it for 2 water
Answer:
$1
Step-by-step explanation:
$3 / 6 = 0.5
0.5 x 2 = $1
solve the equation: r^4·r^3 = _____
Answer:
[tex]r^4 * r^3\\r^7[/tex]
the product of lisa and her twin brothers is 36 and their sum is 13 how old can lisa be
Answer:
Lisa is 23 years old.
Step-by-step explanation:
36 (total) - 13 (brothers age) = 23 (Lisa's age)
23+13=36
Which value of g makes the inequality 2g>470 true?
Answer:
none
Step-by-step explanation:
Answer:
235
Step-by-step explanation:
470 ÷ 2 = 235
Someone please answer correctly
Answer:
13
Step-by-step explanation:
It is a parallelogram so the opposite angles are the same.
All angles sum to 360 degrees.
This means that the adjacent angles sum to 180 degrees.
4a + 11 + 9a = 180 = 13a + 11
13a = 169
a=13
4. Find f(2) if f(x) = 2x + 1.
Answer:
X= .5 (decimal form)
X= 1/2 (Exact form)
Answer: 5
Work Shown:
f(x) = 2x+1
f(2) = 2*2+1 ... x has been replaced with 2
f(2) = 4+1
f(2) = 5
The input is x = 2. The output is y = 5.
Help on number two and plz
Answer:
The awnser would be 9 because its under the sum of 10
Answer:
9 (see below)
Step-by-step explanation:
So, for a triangle, if you add any two sides, it will always be greater than the third side.
So if a triangle has sides of 1, 1, and 1:
1 + 1 > 1
1 + 1 > 1
1 + 1 > 1
So this is a triangle.
For a triangle with the sides of 3, 3, and 9:
3 + 9 > 3
9 + 3 > 3
3 + 3 > 9 (this one is not true)
So, these can't be the values of the sides of a triangle.
For your situation, you have a triangle with sides of 4, 6, and x.
We need to find out what x is, so:
4 + 6 > x
4 + x > 6
6 + x > 4
Isolate x to one side and simplify all the inequalities. You will get:
x < 10
x > 2
x > -2
So, -2 < x < 10.
If you plug in your answer choices, it will be 9.
$5 for 4 pounds of apples how much does 1 pound cost
Answer:
$1.25
Step-by-step explanation:
5 dollars for four pounds
one pound = $5 / 4 = $1.25
Answer: 80 cents
Step-by-step explanation: Divide 4 & 5 and get 0.8
To check your answer just multiply 0.8 and 5 which equals 4
So 1 lb cost 80 cents
What percent is represented by the shaded area?
Answer:
30%
Step-by-step explanation:
There are 6 shaded squares out of 20 squares. That is the same as 30 out of 100. 30/100=30%
Answer: 30%
Step-by-step explanation:
5*4 is 20.
So that your area.
6/20 converted to percentage: 30%
14.88 + x = 17.05 What is the value of x?
Answer:
Step-by-step explanation:
14.88 + x = 17.05
x = 17.05 - 14.88
x = 2.17
hope it helps