What are the values of a and b?
Answer:
D
Step-by-step explanation:
These two triangles are similar triangles. The two angles marked are the same and the two angles at the intersection where you see the square are also the same, making it clear that the last angle must be the same as well.
Therefore,
length 8 from the top triangle is similar to length 6 on the bottom triangle,
length 10 from the top is similar to b on the bottom triangle,
length 6 from the top is similar to a on the bottom.
To find the ratio of similarity, you would compare the length 8 to length 6, and divide them. 8/6 = 1.33333
Now that you've found the proportionality constant, you divide the other two lengths on the top triangle with the constant to get b and a.
b = 10/1.3333 = 7.5
a = 6/1.3333 = 4.5
Therefore, the answer is D: a = 9/2, b = 15/2.
a group of 8 friends go out to pizza. each person will buy a soda and 2 slices of pizza. Let s represent the cost of sodas and p represent the cost of pizza slices
Answer:
Step-by-step explanation:
If I'm not mistaken you're looking for an equation, if not then comment below...
y = 8s + 16p
Since there's 8 of them, they'll get 8 sodas total and 16 sliced of pizza total.
A dog is pulling a 15kg sled to the right with a force of 15N. A rhino is pulling the same sled to the left with a force of 42N. There is a frictional force of 5.0N acting on the sled.
Which direction is the friction acting?
What is the Net Force on the sled?
What is the acceleration of the sled?
What is the coefficient of friction on the sled?
9514 1404 393
Answer:
to the right22 N22/15 ≈ 1.467 m/s²5/147 ≈ 0.034Step-by-step explanation:
a) Friction opposes motion, so is in the opposite direction of the net force on the sled. Taking "left" to be "positive", the two animals are applying a net force of +42 N -15 N = 27 N. That is to the left, so the friction force is to the right.
__
b) The total of forces applied by the animals and friction is ...
27 N -5 N = 22 N . . . to the left
__
c) Acceleration can be found from the relation ...
a = F/m . . . . 'm' is mass
a = (22 N)/(15 kg) = 22/15 m/s² . . . . 'm' is meters
__
d) The coefficient of friction is the ratio of friction force to the normal force on the surface producing the friction. Here, that normal force is the force due to gravity acting on the 15 kg mass of the sled.
coefficient of friction = (5 N)/(9.8 m/s²·15 kg) = 5/147
coefficient of friction ≈ 0.034
Answer:
1. to the right
2. 22 N
3. 22/15 ≈ 1.467 m/s²
4. 5/147 ≈ 0.034
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
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:
Which graph represents the function f(x)=4/x
?
Answer:
graph shown below
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Help please. Look at picture and and only answer if your 100% sure. Brainliest Answer
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[tex] {2}^{ \frac{5}{3} \times \frac{1}{4} } = {2}^{ \frac{5}{12} } \\ [/tex]
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Thus the correct answer is the third one.
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please help !! i’ll mark you as brainliest
Answer:
the second one should be at the top. the first one goes 2nd, the last one goes third. and the 3rd one goes last. so from top to bottom: B, A, D, C
Step-by-step explanation:
Im not 100% sure but I think that's correct.
Answer:
I think B,A,D,C is the correct order
what is the value of x in (3x + 11)
Answer: no answer
Step-by-step explanation:
There are no combine terms to this question.
There is no way we can find out the value of x.
Therefore, there is no solution or there is no answer.
Answer: 11/3, or 3.66 (repeating)
Step-by-step explanation: 3x + 11, divide 11 by 3, getting a repeating decimal, or a fraction that cannot be simplified
Water flows from a faucet at a constant rate. Kian
measures 8 cups of water in 6 seconds.
What is the constant of proportionality for the relationship of cups of water to minutes?
Answer:
4 cups every 3 second which means so 80 cuos in one minute
Step-by-step explanation:
hope this helps
The constant of proportionality for the relationship of cups of water to minutes is 80
Represent cups with c and time with t.
So, the given parameter can be represented using the following ratio
c : t = 8 : 6
Multiply by 10
c : t = 80 : 60
60 seconds = 1 minutes.
So, we have:
c : t = 80 : 1
Express as fractions
[tex]\mathbf{\frac ct = \frac{80}1}[/tex]
Multiply both sides by t
[tex]\mathbf{\frac ct = 80}[/tex]
Multiply both sides by 6
[tex]\mathbf{c = 80t}[/tex]
A proportional equation is represented as:
[tex]\mathbf{c= mt}[/tex]
Where m represents the constant of proportionality
By comparison:
[tex]\mathbf{m = 80}[/tex]
Hence, the constant of proportionality is 80
Read more about the constant of proportionality at:
https://brainly.com/question/18707816
I NEED HELP ASAP♥️♥️♥️
Answer:
y=3x+5
Step-by-step explanation:
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.
Find the sum of the first 20 terms of the arithmetic sequence: (Use image below)
2/5 times 2/3 (28 points)
Answer:
4/15
Step-by-step explanation:
Answer:
2/5 * 2/3= 4/15, cannot be simplified.
Step-by-step explanation:
Multiply the numerators, 2*2
Denominators 5*3
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
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?
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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:
Solve: 2x + 15 = -3x
Please help me out! I need to solve for X
Answer:
X=-3
Step-by-step explanation:
2x+15=-3x
15=-5x
x=15/-5
x=-3
Answer:
x = -3
Step-by-step explanation:
2x + 15 = -3x
15 = -5x
x = -3
What is the quotient?
StartFraction (negative 3) Superscript 0 Over (negative 3) squared EndFraction
Negative 9
StartFraction 1 Over 9 EndFraction
StartFraction 1 Over 9 EndFraction
9
Answer:
Its C
Step-by-step explanation:
1/9
Answer:
1/9
Step-by-step explanation:
Edge
Create Write a real-world problem that can be
solved using the equation 9 + 4x = 21 - 2x
The required real-world problem is below that can be solved using the equation.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
A construction company is building a new housing development and wants to know how many houses they need to build to reach a certain profit margin. They know that each house costs $9 to build and they want to sell each house for $21.
If they build x number of houses, the equation to calculate their profit is:
21x - (4x + 9) = profit.
To reach a certain profit margin, the company can set that equation equal to a specific value and solve for x.
Learn more about the equation here:
brainly.com/question/10413253
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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.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each linear model to its inverse.
Answer:
4x + 3y = 6 is: y = 3/4x - 3/2
3x + 4y = -6 is: y = 4/3x - 2
3x - 4y = 6 is: y = 4/3x + 2
4x - 3y = -6 is: -3/4x - 3/2
Hope this helps! :)
The correct matches are,
4x + 3y = 6 is: y = 3/4x - 3/2
3x + 4y = -6 is: y = 4/3x - 2
3x - 4y = 6 is: y = 4/3x + 2
4x - 3y = -6 is: y=-3/4x - 3/2
We have given that,
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
What is the linear model?
The term linear model is used in different ways according to the context. The most common occurrence is in connection with regression models and the term is often taken as synonymous with a linear regression model.
Match each linear model to its inverse.
Therefore the correct matches
4x + 3y = 6 is: y = 3/4x - 3/2
3x + 4y = -6 is: y = 4/3x - 2
3x - 4y = 6 is: y = 4/3x + 2
4x - 3y = -6 is: y=-3/4x - 3/2
To learn more about the linear model visit:
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Find the measure of the missing angle
There are 24 students in the class. They had the choice to buy supplies from two different stores, Store A and B. Each of them bought 2 binders and 5 notebooks. The students have a total of $420 to spend.
Answer:
Step-by-step explanation:
There's 24 students so I would do 5 × 24 which equals 120 so 420 - 120 is 300. Then 2 × 24 is 48. Now 300-48 is 252. They would have $252 left.
x/10 =170/100
solve for x
Answer: it should be 17
Step-by-step explanation: 10*10=100 so 170/10 would be 17
FIrst to answer gets brainliest no trolls
Answer:
Step-by-step explanation:
Division of liked variables
Answer:
B
Step-by-step explanation:
fractions = division
Sorry if I am wrong!!!!!!!!!!!!!!!!! Can I be brainliest?
What are all of the possible classifications for a 3 × 3 system? Check all of the boxes that apply.
consistent and dependent
consistent and independent
inconsistent and dependent
inconsistent and independent
Answer:
consistent and dependent
consistent and independent
inconsistent and independent
Step-by-step explanation:
Answer:
1
2
4
Step-by-step explanation:
has nice day
what is 11 divided by 3/4 in fraction form
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
Sally has the following spinner for a game. Is this a fair spinner?
A)
No, there are more red and yellow regions than purple and blue regions.
B)
No, the yellow and red regions are too small.
Yes, all the colors have equal region sizes.
Help please
D)
There is not enough information to tell
Answer:
A
Step-by-step explanation:
Mario has $15. He spends $6.25 on admission to the ice skating rink. How much money does he
have left?
Answer:
$8.75 is the answer hope this helps