Two ratios (fractions) that are equal to each other.

Answers

Answer 1

Answer: The statement that they're equal is called a proportion.

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Expand the expression and combine like terms:−4(−11+4n)−3(−2n+9)

Please can someone help me answer these questions? Would be really grateful if it was done by the 12th of January. Thank you :) xo

Answers

1. 4g= 37-5
⇒ 4g= 32
⇒ g= 32/4
⇒ g= 8

2. c= 5*6
⇒ c= 30

3. f+4= 3*5
⇒f+4= 15
⇒ f= 15-4
⇒ f= 11.

4. b+6= 30/5
⇒ b+6= 6
⇒ b= 6-6
⇒ b=0

5. a-5= 60/5
⇒ a-5= 12
⇒ a= 12+5
⇒ a= 17

6. e+2= 45/5
⇒ e+2= 9
⇒ e= 9-2
⇒ e= 7

7. d-5= 12/3
⇒ d-5= 4
⇒ d= 4+5
⇒ d= 9

8. m-4= 16/4
⇒ m-4= 4
⇒ m= 4+4
⇒ m= 8

9. q+6= 30/5
⇒ q+6= 6
⇒ q= 6-6
⇒ q= 0

10. h/3= 3+5
⇒ h/3= 8
⇒ h= 8*3
⇒ h= 24

11. 3c= 3-5
⇒ 3c= -2
⇒ c= -2/3

12. x/3= 6-7
⇒ x/3= -1
⇒ x= -1*3
⇒ x= -3

13. 6p= 2+1
⇒ 6p= 3
⇒ p= 3/6
⇒ p= 1/2

14. 2d-7= 27/3
⇒ 2d-7= 9
⇒ 2d= 9+7
⇒ 2d= 16
⇒ d= 16/2
⇒ d=8

15. b-3= 5/2
⇒ b-3= 2.5
⇒ b= 2.5+3
⇒ b= 5.5

16. y-1= 1/3
⇒ y= 1/3+1
⇒ y= 1 1/3

17. 5v= 9-3
⇒ 5v= 6
⇒ v= 6/5
⇒ v= 1.2

18. n-3 = 3*6
⇒ n-3= 18
⇒ n= 18+3
⇒ n= 21

19. t+10= 1*4
⇒ t+10= 4
⇒ t= 4-10
⇒ t= -6

20. 3c+4= 3*5
⇒ 3c+4= 15
⇒ 3c= 15-4
⇒ 3c= 11
⇒ c= 11/3
⇒ c= 3 2/3

Hope this helps~

1) 4g+5=37 => 4g=32 => g=8
2)c/6=5 => x=6*5=> x=30
3)(f+4)/5=3 => f+4=15 => f=11
4)5(b+6)=30 => b+6=6 => b=0
5)5(a-5)=60 => a-5=12 => a=17
6)5(e+2)=45 => e+2=9 =>e=7
7)3(d-5)=12 => d-5=4=> d=9
8)4(m-4)=16 => m-4=4 => m=8
9)5(q+6)=30 => q+6=6 =>q=0
10) h/3+7=6 => h/3=1 => h=3
11)3c+5=3 => 3c=-2 => c= -2/3
12)x/3+7=6 => x/3= -1 => x=-3
13)6p-1=2 => 6p=3 => p=3/6=1/2
14)3(2d-7)=27 => 2d-7=9 => 2d=16 => d=8
15)2(b-3)=5 => b-3=2,5 => b=5,5
16)3(y-1)=1 => y-1=1/3 => y=4/3
17)5v+3=9 => 5v=6 => v= 6/5
18)(n-3)/6=3 => n-3=18 => n=21
19)(t+10)/4=1 => t+10=4 => t= -6
20)(3c+4)/3=5 => 3c+4=15 => 3c=11 => c=11/3
Hope that helps.
Good luck!! ^^

A contractor charges $1,200 for 100 square feet of roofing installed. At this rate, how much does it cost to have 1,100 square feet installed?

Answers

Answer: $13200

Step-by-step explanation:

If 100 square feet of roofing is installed for a cost of $1,200

1,100 square feet would cost $Z (let the unknown cost be Z)

i.e 100 ft^2 = $1,200

1100 ft^2 = $Z

Hence, to get the value of Z, cross multiply

Z x 100 = 1200 x 1100

100Z = 130000

Divide both sides by Z

100Z/100 = 1320000/100

Z = $13200

Thus, $13200 is the cost to have 1,100 square feet of roofing sheet installed

What are the multiples of 6 ( up to 100)

Answers

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102

6 - 6, 12, 18, 24, 30, 36, 42, 48 54, 60, 66, 72, 78, 84, 90, 96

Janelle made a fruit cake using bananas and apples. Forty percent of fruits are bananas. If she used a total of 120 fruits, how many apples should she use

Answers

40% of 120 is 48, so she used 48 bananas.

120 - 48 = 72

So she should use 72 apples.

Two right triangles on a coordinate plane are similar but not congruent.Each of the legs of both triangle are extended by 1 unit,creating two new right triangles.Are the resulting triangles similar? explain using an example

Answers

Virtually every time you try this stunt, the new triangles
are NOT similar.

Example:

Triangle A₀ . . . legs = 3 and 4; hypotenuse = √25 = 5 .
Triangle B₀ . . . legs = 6 and 8; hypotenuse = √100 = 10 .

Ratio of short legs = 6/3 = 2
Ratio of long legs = 8/4 = 2
Ratio of hypotenuses = 10/5 = 2
The triangles are similar.

Add 1 unit to all legs:

Triangle A₁ . . . legs = 4 and 5; hypotenuse = √41
Triangle B₁ . . . legs = 7 and 9; hypotenuse = √130

Ratio of short legs = 7/4 = 1.75
Ratio of long legs = 9/5 = 1.8
Ratio of hypotenees = √(130/41) = 1.78 .

New triangles are NOT similar.

I think this ONLY works when the original triangles are
congruent, so the ratio of their similarity is 1:1.
When each leg of both triangles is extended by the same
amount, they are still congruent.

But the question stipulates that they are NOT congruent.
So the answer to the question is: No. Never.

They are similar, by SSS. This shows that the sides are all similar but may not be congruent. And they started out similar, and they have the same scale factor. If you had one more angle besides the 90, you would be able to figure out the angles inside and have AA to justify.
Sorry if this is a bad explanation.

PLEASE HELP ME SEE IF MY ANSWERS ARE CORRECT!!!!!!!

Answers

so first one
'how many solutions does 2x-y=-5 and 2x+y=5 have?'
add and get
2x-y-5
plus
2x+y=5

equals
2x+2x+y-y=5-5
4x=0
x=0 always
solve for y
4(0)+y=5
y=5
the solution is (0,5)
only ONE solution

one way is to subsitute
just remember that it is in (x,y) form so
the pont (1,2) means that 1 solution is x=1 and y=2 so subsitute and find that
the first one is the answer you are correct

just look at the graph
the solution is the intersection
it seems to be at a point that is 3 units to the right and -6 units up (6 units down)
so the solution is (3,-6)
yo are corect

subsitution
y=y
therefor
the answe ris (-4,-14) if you did the math correctly

#8 is correct

# 9 is correct

# 10 the answe ris bananas=0.40 pears=0.60

the last one you got it wrong, remember to check your answer to the graph for commonsense
then answer is (-2,5) and (1,2)

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