Answers
Answer: 2, 8, 96cm^2, 35 miles
Explanation:What we know:
We need to solve all of the given problemsWe have the information we needWe can use ratios to our advantageHow to solve:
By using our knowledge of ratios and substitution, we can solve these problems.
Process:First problem
Set up ratio 7.5:15
Find GCF (7.5:15)/7.5
Simplify 1:2
Solution: 2
Second problem
Set up equation (x/10) = (6/7.5)
Rewrite (x/10) = (60/75)
Simplify (x/10) = (4/5)
Common denominator (x/10) = (8/10)
Isolate variable [(x/10) = (8/10)]*10
Simplify x = 8
Solution: 8
Third Question
where x represents the new width, y represents the new length, and A represents the new area.
Set up equation A = xy
Substitute A = (2*4)(2*6)
Simplify A = (8)(12)
Simplify A = 96
Solution: 96 cm^2
Fourth Question
Where x represents the unknown length in miles
Set up equation (21:3) = (x:5)
Rewrite in fraction form [(21/3)] /3 = (x/5)
Simplify (7/1) = (x/5)
GCF 5(7/1) = (x/5)
Isolate variable [(35/5) = (x/5)]*5
Solution: 35 miles = x
Answer: 2, 8, 96 cm^2, 35 milesCheck:Problem 1:
If the scale factor is 2, then the area of a square with the side measurement of 7.5 units should be (due to areas being squared) 1/2^2 of the square with the side measurement of 15 units. Let's solve this:
(1/2^2)(15*15) = (7.5*7.5)
(1/4)(15^2) = (7.5^2)
225/4 = 56.25
56.25 = 56.25
Therefore, a scale factor of 2 is correct.
Problem 2:
If x = 8, then 8/10 should equal 6/7.5. Let's solve this:
when x = 8:
8/10 = 6/7.5
0.8 = 0.8
Therefore, x = 8 is a correct solution.
Problem 3:
If a scale factor of 2 creates the new area of 96 cm^2, then the old area of (6*4) should be (due to areas being squared) 1/2^2 of the new area. Let's solve this:
(1/2^2)(96) = (6*4)
(96/4) = 24
24 = 24
Therefore, the new area is 96 cm^2.
Problem 4:
If the houses are 35 miles apart, then 3 in./21 mi. should be equal to 5 in./35 mi. Let's solve this:
(21/3) = (35/5)
7 = 7
Therefore, the houses are 35 miles apart.
Related Questions
Question content area top
Part 1
Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges for each box of seeds. The equation p= -0.5x²+25x-111 models the profit of the fundraiser. What's the smallest amount, in dollars, that you can charge and make a profit of at least $114?
Answers
Answer:
12
Step-by-step explanation:
if we know we want a profit of at least 114, we need to solve for x.
if we put 12 for x we get the answer 117 and when we put 11 for x we get less than 114.
-0.5(12)^2 + 25(12)-111 = 117
alan would take 5 hours to build the wall of a house, and gavin would take 7 hours to build it alone. when they work together, they talk a lot, and their combined output decreases by 26 bricks per hour. working together, they build the wall in 4 hours. how many bricks are in the wall?
Answers
Answer:
96 bricks
Step-by-step explanation:
Alan does 1/5 of the job in an hour. Gavin does 1/7 of the job in an hour
Together, 12/35 of the job should be done in an hour. In [tex]2 \frac{11}{12}[/tex] hours, the work should be done.
rate at 4 hours=[tex]2 \frac{11}{12}[/tex]*(normal speed-26)
To clarify, x=the normal rate
4 hours(normal rate-26)=[tex]2 \frac{11}{12}[/tex](normal rate)
4(x-26)=[tex]2 \frac{11}{12}[/tex]x
x=96
Write an equation that you can use to solve for x.
Enter your answer in the box.
Answers
Answer:
40 degrees
100-60=40
Step-by-step explanation:
The angle x is in another angle that looks like 100 and 100 minus 60 is 40.
Hope this helps and if it is correct.
Answer:
Step-by-step explanation:
Remark
x + 60 together make up an angle that is vertically opposite the 100 degree angle.
Vertically opposite angles are equal.
Equation
x + 60 = 100
Solution and Answer
x + 60 = 100 Subtract 60 from both sides.
x + 60-60 = 100 - 60 Combine
Answer: x = 40
Add. Write your answer in simplest form.
5 3/4+ 2 11/12
I will mark you Brainliest for fastest answers.
(Please use your own words, and no links to answers please!)
Answers
Answer :D
8 [tex]\frac{2}{3}[/tex] (8 2/3)
Question explanation:
5 [tex]\frac{3}{4}[/tex] + 2 [tex]\frac{11}{12}[/tex] = [tex]\frac{26}{3}[/tex] = 8 [tex]\frac{2}{3}[/tex]
(5 3/4) + (2 11/12) = (26/3) = (8 2/3)
(5 + 2) + ( [tex]\frac{3}{4}[/tex] + [tex]\frac{11}{12}[/tex] )
(5 + 2) + (3/4 + 11/12)
7 + 3 x 3 + [tex]\frac{11}{12}[/tex]
(4 x 3) (11/12)
7 + [tex]\frac{9}{12}[/tex] + [tex]\frac{11}{12}[/tex]
(9/12) + (11/12)
7 + 9 + 11
(12)
7 + [tex]\frac{20}{12}[/tex]
(7 + 20/12)
7 + (20 ÷ 4)
(12 ÷ 4)
7 + [tex]\frac{5}{3}[/tex]
(5/3)
7 + 1 [tex]\frac{2}{3}[/tex]
( 1 2/3)
= 8 [tex]\frac{2}{3}[/tex]
(8 2/3)
Simplify:8 [tex]\frac{2}{3}[/tex] = [tex]\frac{26}{3}[/tex] = 8 [tex]\frac{2}{3}[/tex]
(8 2/3) (26/3) (8 2/3)
I hope this finds you well - Answered by Lilo
Look at the number 3,939.39 below, as well as the position of each digit in the number.
9
9
Number 3
Position A
3 93
C D
DE
B
F
Fill in each blank below with the correct value. Drag and drop the correct numbers into the blanks.
• The 9 in position B has a value that is
times the value of the 9 in position D
• The 3 in position E has a value that is
times the value of the 3 in position C.
2
HE
11
1
-
3
:: 9
.: 10
100
:: 100
please look at comments i will put an image so you can see
Answers
Answer:
1) 100
2) 100
Please mark BRAINLIEST
Im confused, how will i do 8d and 9c
Answers
=19 × 15
A= 285A=L×H
= 19×7
A= 133A = 285A = 133A = 152 (= Hope It Helps! =)
Clarissa is making punch for a party. She mixes 64 fluid ounces of orange juice, 64 fluid ounces of pineapple juice, and 36 fluid ounces of apple juice.
Let p represent the total amount of punch that Clarissa mixes.
Which equations could be used to find the value of p?
Select each correct answer.
A.64 + 64 + 36 = p
B.64 × 2 + 36 = p
C.64 × 64 × 36 = p
D.64×2−36=p
E.64+64−36=p
Answers
Answer: A and B.
Step-by-step explanation: The first option works because Clarissa is adding 64 fluid ounces of both orange and pineapple juice and 36 fluid ounces of apple juice which makes it an addition problem. Option B works as well because it is similar to option A, only it shortens the problem by multiplying 64 twice, because 64 pops up twice. Options C, D, and E don't work because it doesn't include taking away any juice or multiplying it in immense amounts, so that's why those are wrong.
Hope this helps! :)
Can someone find F(12).
i really have no idea...
Please and thank you?
Answers
Answer: 909.03
Step-by-step explanation:
We know that the equation is an exponential function, it can be written as y=ab^x
[tex]100 &=a b^{6.5} \dots \mathrm{Equation \ 1} \\11 &= a b^{1} \\[/tex]
[tex]\Rightarrow ab^1=11[/tex]
[tex]\Rightarrow \frac{ab^1}{b}=\frac{11}{b};\quad \:b\ne \:0[/tex]
[tex]\Rightarrow a=\frac{11}{b}[/tex]
a = 11/b, substitute it in equation 1
[tex]100 &=a b^{6.5}[/tex]
[tex]\Rightarrow 100=\left(\frac{11}{b}\right)b^{6.5}[/tex]
[tex]\Rightarrow 100b=11b^\frac{11}{2}[/tex]
[tex]\Rightarrow 11\sqrt{b^{11} } =100b[/tex]
[tex]\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}[/tex]
[tex]\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}[/tex]
[tex]\Rightarrow {b^{11} } =\frac{10000}{121}}[/tex]
[tex]\Rightarrow {b} =\frac{\sqrt[11]{10000 \cdot 11^9} }{11}[/tex]
[tex]\Rightarrow {b} = 1.49379[/tex]
a = 11/b
a = 11/(1.49379)
a = 7.36382
Equation: y = (7.36382)(1.49379)^x
Now plug in 12 for x:
[tex]\Rightarrow { \left(7.36382\right)\left(1.49379\right)^{12}[/tex]
[tex]\Rightarrow 7.36382\cdot \:1.49379^{12}[/tex]
[tex]\Rightarrow 7.36382\cdot \:123.44530\dots[/tex]
[tex]\Rightarrow 909.03[/tex]
Therefore, f(12) = 909.03 for the exponential function
A car can travel 60 miles per hours.
A. Create a table showing house far the car travels in 5 hours.
B. Write an equation to determined the distance d that the car can travel in t hours.
C. How long will it take the car to travel 540 miles? Explain your reasoning.
D. How far will the car travel in 12 hours? Explain your reasoning
Answers
Answer:
do 60 times 5 puls540 and 12
Step-by-step explanation:
i think i am wrong but i am right i think
help me with this people
Answers
Answer: 235 cm^2
Explanation: you can cut the shape into two smaller ones and then solve for each smaller shapes area. to find out the length of the top piece with 11 as length you can subtract nine from fourteen. from their you calculate the area of the top shape (11x5=55) and then the bottom shape (9x20=180). from their just add the two areas to get 235.
Answer:
246 cm squared
Step-by-step explanation:
u hv to break up the big shape into little shapes so you would do 20x9 and 20-14 which is 6 and do 6x11 and then add them up
I'll give the brainiest. Help please
Answers
Answer:
First, set up equations for total cost for both Happy Paws and Woof Watchers.
x= number of hours
y= total cost
Happy Paws
y=3.50x +16
Woof Watchers
y=4.75x+11
4.75x+11=3.50x+16
x=4
You can check your answer by doing the following:
Happy Paws: (3.50)(4)+16= 30
Woof Watchers: (4.75)(4)+11= 30
Step-by-step explanation:
help me pleaseeeeeeeeeeeeeeeeeeeee
Answers
Answer:
c) (-3s) - 9
Step-by-step explanation:
(-5s) + 2s - 9
-5s + 2s - 9 <== combine like terms
-3s - 9
Therefore, our answer is c.
Hope this helps!
Answer:
the answer is C.
Step-by-step explanation:
Start by combining like terms (-5s) and 2s= (-3s)
You can't subtract 9 from this because they aren't like terms.
(-3s) -9
In the figure, line e || line f. which statement is true.
Answers
Answer:
angle 3 is 70
ANGLE :> 3
IS.
70
#CARY ON LEARNINGPLEASE HELP ME WITH MY MATH
Answers
Oh my gosh,
I need an answer for that as well..
Answer:
EYYRHEHF
Step-by-step explanation:
I HAVE NO IDEA PLEASE I NEED POINTS AND WANT TO BE BRAINLIEST I NEEEED ITTT !!!!11
Please answer the question.
Answers
A class collected data about the number of siblings each student had. How many students come from families with less than four children?
Answers
Answer:
2
Step-by-step explanation:
5 has 2 siblings it's number 5
which graph shows the solution to y < -4?
Answers
Hello !
[tex]\huge \pmb {\boxed {\frak{Proof \: is \: shown \: below :}}}[/tex]
Your answer is B.
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Dollixna ~
The given inequality y < -4 is shown in the attached graph. The correct answer would be an option (B).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
Inequalities with "< or > "symbols are shown with a dashed line to indicate that the line is not inside the area. Inequalities involving symbols are depicted with a solid line to indicate that the line is included in the region.
We have been the given inequality y < -4
Rearrange the equation such that "y" is on the left and all other variables are on the right.
Plot the "y=" line (a solid line for y or y, and a dashed line for y or y>). The shade above the line for a "greater than" (y> or y), or below the line for a "less than" (y or y).
Hence, the given inequality y < -4 is have shown in the attached graph.
Learn more about the inequalities here:
brainly.com/question/20383699
#SPJ2
HELP ASAP!!! GIVING BRAINLIEST AND EXTRA POINTS!!!
1. If p || q. m∠2 = (10x+2)°, and m∠7 = (14x-50)°, find the angle measure.
Solve for m∠1, m∠2, m∠3, m∠4, m∠5, m∠6, m∠7, m∠8.
Answers
hi i need help (again)
i swear im smart
Answers
Answer:
The weight of an adult dog is 45 pounds.
Step-by-step explanation:
9 pounds is 20% of the adult weight. To get to 100%, you have to multiply 20 by 5. Multiply 9 by 5 and it will be 45. Sorry for answering late.
STEP BY STEP EXPLANATION
If 9 is 30% then you multiply it by three and get 90% 9x3=27 and to get the last ten percent you divide the 9 by three and you get 3, then you add that to 27 and you get 30
I will give brainliest
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
0 0 0
2 3 1
4 6 2
6 9 3
the lines should be straight tho
ANOTHER KA QUESTION PLSSS
Answers
Answer:
-14/15 - 1/3v
Step-by-step explanation:
combine like terms -6/5 = -18/15 + 4/15 = -14/15
-2/3 + 1/3 = -1/3
Consider the spinner divided into
8 equal sections.
A student spins the spinner 2
times. What is the probability the student spins an even number both times?
Answers
Answer:
About 25%
Step-by-step explanation:
If there are 8 selections the there are two spins
the 2 is divided by eight giving you 0.25 convert that into 25 and add the percentile so 25%.
Sorry if this is wrong. If this is right pls give brainlest.
brainliest only if its right
Answers
Answer:
1.2 cm
Step-by-step explanation:
3/5, in decimal form, is 0.6.
You find the diameter by multiplying the radius by 2.
0.6 * 2 = 1.2
Answer:
1 1/5 or 1.2
Step-by-step explanation:
You multiply the radius (the number in the picture) by two, because the diameter is twice the radius
hope that helps
Pls help me thank you
Answers
Answer:
that is 100
Step-by-step explanation:
5 to the power of 5 is 1oo
5 to the power of 5 is 100
i really need help on homework please help
Answers
Answer:
ARIA= LxH/2
A= 21x8/2 = 168/2=84cm
Step-by-step explanation:
Answer:
84cm
Step-by-step explanation:
AREA= LxH/2
A= 21x8/2 = 168/2=84cm
I need help with these this is due today
Answers
Answer:
Yah no way man your gonna fail
Step-by-step explanation:
Answer 2 is B
Answer 3 is 5 Hours
Which figure can be formed from the net?
Answers
Answer:
The top right one with the measurements 8mm x 8mm for the base and 10 mm for the slant height
Step-by-step explanation:
The net has a square base so that means the net forms a square based pyramid
Hope this helps :)
Answer:
The answer is the second figure on the top of the page.
Step-by-step explanation:
That's because the square is 8mm x 8mm
so the figure that has a square and 8mm x 8mm is the second one in the first row.
Find the are of the composite figure.
Answers
Answer:
819
Step-by-step explanation:
to find the area of a shape you have to multiply lengths by width by height So Since this one is 7 ,13 and 9 multiply them together I think
can someone help me solve this question!
?
Answers
Solving the Question
We're given:
There were 478 people in total.$1.75 per child$2.25 per adultTotal revenue of $975We must find the number of children and adults who swam.Set variables:Let a represent the number of children who swam.
Let b represent the number of adults who swam.
Create equationsBecause we've set two variables, we need two equations to be able to find the answers.
One of the equations will regard price while the other will regard the number of people, as those are the two things given in the question.
Number of people:
[tex]a+b=478[/tex]
The number of children + the number of adults = 478 in totalPrice:
[tex]1.75a+2.25b=975[/tex]
$1.75 per child + $2.25 per child = $975 in totalSolve equations[tex]a+b=478[/tex][tex]1.75a+2.25b=975[/tex]We can solve this question using substitution, where we plug one equation into the other.
Isolate a in the first equation:
[tex]a+b=478\\a=478-b[/tex]
Plug the first equation into the second equation by replacing a:
[tex]1.75a+2.25b=975\\1.75(478-b)+2.25b=975[/tex]
Solve for b:
[tex]1.75(478-b)+2.25b=975[/tex]
⇒ Open up the parentheses:
[tex]836.5-1.75b+2.25b=975\\836.5-0.5b=975[/tex]
⇒ Subtract 836.5 from both sides to isolate b:
[tex]-0.5b=138.5[/tex]
⇒ Divide both sides by -0.5:
[tex]b=277[/tex]
Therefore, there were 277 adults in total.Solve for a:
[tex]a+b=478[/tex]
⇒ Replace b with 277:
[tex]a+277=478\\a=201[/tex]
Therefore, there were 201 children in total.Answer
There were 201 children and 277 children at the pool that day.
can you please help me fill out the table!!
and
What do the x-values represent?
What do the y-values represent?
Answers
Answer:
X Values: Years After 1985
Y Values: Cell Phone Subscriptions
I am not sure of this answer, but please ask whoever assigned you it.