A pool drains 5000 gallons of water over the course of 5 hours. How many gallons of water, on average, does the pool drain each hour?
A. -5000 gallons per hour
B. -1000 gallons per hour
C. -100 gallons per hour
D. 1000 gallons per hour
Answer:
D. 1000 gallons per hour
Step-by-step explanation:
5000 / 5 = 1000
Answer: If it drained 5000 gallons and there were 5 hours, then 5000 divided by 5 is 1 so that would be answer D.
Hoped this helped!
boys:total students = 2:9, girls = 21, boys =
Answer:
6 boys
Step-by-step explanation:
Subtract to find the total number of girls.
9 - 2 = 7 girls
Write a ratio from boys to girls.
2:7
Divide to find the scale factor.
21 / 7 = 3
Multiply to find the total number of boys.
3 * 2 = 6
Best of Luck!
Given C is the midpoint of BD.
Prove: AACB AACD
Reasons
Statements
1. C is the midpoint of BD
1. given
A
2. BC e CD
2.
3. AC e AC
3. reflexive property
4. given
B
С
4.2BCA and 2DCA
are right 25
5.
D
5. all rights are
Complete the two-column proof.
6. AACB = AACD
6. SAS
Answer:definition of midpoint, angle BCA is congruent to angle DCA
The triangles ΔABC and ΔADC are congruent triangles by
a) definition of mid-point
b) measure of ∠ACB = measure of ∠ACD = 90°
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔADC
Now , the side AC is the common bisector of both the triangles such that
C is the midpoint of BD
So , the measure of side BC = measure of side CD
And , the perpendicular bisector is right angle
So , the measure of ∠ACB = measure of ∠ACD = 90°
And , the measure of AC = measure of AC ( reflexive property )
Therefore , the triangles are congruent by SAS theorem
Hence , the triangles are congruent
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Select the correct answer.
What is the sum of -65 and 6 4/5?
A. 12 4/5
B.29/5
C.0
D. – 12 4/5
Answer:
a i think not sure sorry
Brendan just became a personal trainer and is finalizing his pricing plans. One plan is to charge $50 for the initial consultation and then $60 per session. Another plan is to charge $100 for the consultation and $50 per session. Brendan realizes that the two plans have the same cost for a certain number of sessions. After how many sessions will the pricing be the same?
Answer:
1700
Step-by-step explanation:
Problem:
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.
Answer:
The answer is: y = 9.25x
Step-by-step explanation:
Let the equation for the proportionality relation is y = mx .......... (1), where y represents the money that Craig earns for a duty of x hours.
Here, m is the constant of proportionality and we have to find its value.
Given that Craig earns $37 for 4 hours duty.
So, from equation (1), we have 37 = 4m, ⇒ m = 9.25
Therefore, the equation becomes y = 9.25x. (Answer)
Find the distance between the two numbers on a number line −7,−323
Answer:
-316
Step-by-step explanation:
...................
Sorry Guys, Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end, I don't know what answer to choose. Both seems correct to me.
Answer:
d
Step-by-step explanation:Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end,
A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint I order to make green paint.Which ratio of gallons of blue paint to gallons of yellow paint green will make the same shade of green paint
Answer:
10:18 10 gal of blue paint and 18 gal of yellow paint.
Step-by-step explanation:
Answer:
i'm going to guess either 5:9 or 9:5...
Step-by-step explanation:
r−5r−6s+8s−15 what is the answer for this equation
Step-by-step explanation:
r-5r-6s+8s-15
-4r+2s-15
= 2s-4r-15
The simplified form of the given expression is -4r+2s-15.
The given expression is r-5r-6s+8s-15.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression can be solved as follows:
r-5r-6s+8s-15
= -4r+2s-15
Therefore, the simplified form of the given expression is -4r+2s-15.
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Solve two sevenths plus seven fourteenths
Answer:
Eleven Fourteenths
Step-by-step explanation:
Convert 2/7 into 4/14 to get a common denominator then add 4 and 7 to get 11/14
Answer:
c
Step-by-step explanation:
i took the test
Hi I'm struggling with this equation 1/2 * (- 4 + 12) + 3(1/3 * x + 6) = 3/4 * (- 16x + 8) and need help
Answer:
im not sour if this is what you want but i got 1.3 repeating
Step-by-step explanation:
u simplify in ur head
538 = ? hundred + ? tens + ? ones
What is the answer?
(I am doing this cause my friend won't stop saying that 8 is in the tens
Answer:
500 (or 5) is in the hundreds place, 30 (or 3) is in the tens place, and 8 is in the ones place.
Step-by-step explanation:
500 is five-hundred, 30 is a ten (10, 20, 30, 40...), and 8 is a one because it is a single digit number and no other numbers come before it, unless it is a decimal.
There are 210 calories in a 12 ounce drink if Katie drinks 5 ounces how many calories did she drink
Answer:
she drank a total of 87.5 calories
Step-by-step explanation:
you divide 210 by 12, and multiply by 5! :)
Answer:
87.5
Step-by-step explanation:
calories per oz is 210/12=17.5 then 5x17.5=87.5
Help please please please
Which graph represents the function f(x)=4/x
?
Answer:
graph shown below
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
What is the solution to the equation 1.6 m - 4.8 = -1.6 m
Answer:
The answer is m= 1.5
Step-by-step explanation:
hope this helps
Can y’all answer the middle one Ill mark you brainlist.
Answer:
4.44 infinet
Step-by-step explanation:
If you are asking and need to round it up it will come up to
4.444
You need to round it up because the 4.444 goes on and on infinitely.
If you needed another answer comment what it is you need and I will answer you on there.
YW
Find the measure of the missing angle
Is is 24, 15, 23 or 33
Answer:
33
Step-by-step explanation:
Tell whether the angles are complementary or supplementary. Then find the value of x
Answer:
Complementary, x=78
Step-by-step explanation:
90= (x-8)+20
complementary angles add up to 90 degrees.
Answer:
Complementary, x is 78
Step-by-step explanation:
Let's first define what complementary and supplementary angles are. Complementary angles add up to 90 degrees, and supplementary add up to 180. From this image, we can see that this is a right angle. Right angles add up to 90 degrees, therefore, this is a complementary angle.
Now, because we know that it is 90 degrees and that (x-8)+(20) = 90, then we can solve for x. However, if the angle is unknown, then we would do x-8=20. In this case, sense we know for sure this angle is complementary, we do
(x-8)+(20) = 90
X+12=90 We combined like terms
X=78 Inverse operations
You can plug 78 into x and check to see if it is correct if they are 90 degrees total.
Which expression could be used to represent the following situation? A hiker is moving down a mountain 24 feet every
hour for 3 hours
A 3 x 24
B- 3 x 24
C-24 x 3
D-24 x -3
Answer:
A
Step-by-step explanation:
where n 2 1
OS – On -3
1-
Mn
(
01'0
-
1
)
=
"
n
If (he)={(0,1),(2,3),(-4,1)}, find h^-1(x)
The given function is
[tex]h(x) = \{ (0,1), (2,3), (-4, 1) \}[/tex]
The inverse function is
[tex]h^{-1}(x) = \{ (1,0), (3,2), (1,-4)\}[/tex]
To get the inverse, we swap each x and y coordinate.
The rule is [tex](x,y) \to (y,x)[/tex]
So that's why the point (0,1) becomes (1,0) for instance.
Whoever answers this gets brainlist!
Answer: 5^5.
Step-by-step explanation: Using the equation x^a*x^b = x^(a+b), we find that 5^2*5^3 is equal to 5^5.
Select all intervals in which the function P(t) is decreasing
Answer:
we conclude that the intervals in which the function P(t) is decreasing are:
x < 13 < x < 4Step-by-step explanation:
At x< 1, the function P(t) is decreasing
A function p is an increasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>xA function p is a decreasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>xFrom the figure, it is clear that the function seems to be increasing
from (1, 3) and then 4 to onwards.
But it is clear that the function seems to be decreasing from the x < 1 and from the interval (3, 4).
Therefore, we conclude that the intervals in which the function P(t) is decreasing are:
x < 13 < x < 4A pet shelter maintains a ratio of 5 cats to 8 dogs. If there are 117 total animals in the shelter, how many are dogs? Set up and solve a proportion.
In a sixth grade class the ratio of boys to girls is 4:3 if there are 35 students in the class how many girls are there
Answer:
The given ratio is 3:4 this means there are 7 people in each unit of this ratio.
It is stated that there are 35 students in total . That would mean that there are
5 Total sets of students in this class . When we multiply the numbers in our starting ratio by this multiple of 5 , our ratio now becomes 15 : 20
15 and 20 do indeed add up to 35 … But , our question wants to know how many more GIRLS are in the class . Boys were calculated to be 15 in number .
Girls were calculated to be 20 in number .
We now know there were 5 more girls than boys in that class ..
5 is your answer .
1.3K views
Vivek Sharma
Answered January 9, 2020
total number of student in class=35
let the number of boys be 3x
let the number of girls be 4x
so therefore 3x+4x=35 =>7x=35 =>x=5
so therefore number of boys in class is 3x=>3(5)=15
and number of girls in class is 4x=>4(5)=20
so there are 20–15=5 more girls in class than boys.
5.3K viewsView 1 Upvoter
Ashis Ghosh, former Retired officer at State Bank of India
Answered April 8, 2019 · Author has 4.4K answers and 931.6K answer views
Let the number boys in the class be b. So b/(35-b)=3:4, or 105-3b=4b, or 7b=105, or b=15. The number of girls in the class is 35-15=20 20-15=5
Ans: there are 5 more girls than the number of boys in the class.
576 viewsView 1 Upvoter
Related Questions
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The ratio of boys to girls in a class is 3:1. There are 36 students in the class. How many students are girls?
There is a class of 40 pupils. 2/5 of them are boys. How many are girls?
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Sandy Singh
Answered October 27, 2020 · Author has 460 answers and 35.3K answer views
Boys to girls
= 3:4
girls are 4/7
Number of girls
= 4/7*35/1
= 20 girls
class of 35 girls are 20 then boys will be 15 which makes there are 5 more girls than boys
15 views
Wilfred Lalonde, Project Manager (1991-present)
Answered September 20, 2019
5
274 viewsView 1 Upvoter
Maruprolu Venkata Subbareddy
Answered October 11, 2020
Given that,
Total students =35,
Given ratio=3:4,
3+4=7 parts,
7parts=35
1part=?
35/7=5
Diff b/w boys and girls part=1
So ans 5.
33 views
Bruce Conner, former Director of Business Development (Retired) at A Fortune 500 Company (1980-2016)
Answered June 20, 2019 · Author has 471 answers and 198K answer views
5. 3+4=7
35/7=5
5*3 =15 boys
5*4=20 girls
20–15 =5
371 views
Diana Eade
Answered December 2, 2019
5
Add 4+5 =7
35÷7=5
4×5=20 girls
3×5=15 boys
20-15=5 more girls than boys.
236 views
Hungenahalli Sitaramarao Badarinath, Ph.D. in Civil Engineering. Maths keeps one mentally active.
Answered July 14, 2018 · Author has 28.8K answers and 15.5M answer views
The difference of girls to boys = 35(4–3)/(4+3) = 5.
699 views
Hemant Jaishi
Answered May 8, 2020
five more girls are there in the class.
50 views
David Ong
Answered May 10, 2020
15 Boys, 20 Girls (Ratio 3:4)
Answer: 5.
54 views
Lorine Birir, Admin
Answered January 12, 2020
15 boys and 20 girls this 5 more girls than boys
52 views
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Related Questions
The ratio of boys to girls in a class is 3:2, if there are 12 girls, how many boys are there?
Step-by-step explanation:
What is the equation of a line that passes through the point (3, 11) and is parallel to the line y=2x-4
Answer:
The answer should be y=2x+5
(7 points) Simplify to create an equivalent expression.{-4(z+3)-4(5-4z)
Answer : 12z - 32
Explaination:
Uhhh yeah math?