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andrey2020 [161]
2 years ago
13

If a ∝ b and a = 18 when b = 3, then find a when b = 5.

Mathematics
1 answer:
Elden [556K]2 years ago
4 0

"a ∝ b" means "a is proportional to b", which in turn means there is some constant k such that

a = kb

We're given that a = 18 and b = 3, so that

18 = 3k   ⇒   k = 6

Then when b = 5, we would have

a = 6 × 5 = 30

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Goryan [66]

Step-by-step explanation:

put it in least to greatest and then put your fingers on the opposite side of the numbers and count down at the same time

4 0
3 years ago
Sole by substitution.<br> -3x+2y=16<br> X-2y=-12
bekas [8.4K]
Answer: (-2,5)

Step 1: Rewrite equations

-3x+2y=16

x-2y=-12

Step 2: Changing the second equation

With substitution, you have to already have the equation to solve for the specific variable (ex: x=y+1;y=x+1). Since the equation doesn’t give us one, we can flip the second equation to give us this.

Let’s add 2y on both sides.

x-2y=-12
+2y +2y
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x=2y-12

Now we have the equation to solve for x!

Step 3: Substituting

Now we need to substitute x into the first equation. Let’s do this now.

-3(2y-12)+2y=16

Step 4: Solving for y

-3(2y-12)+2y=16

*distribute*

-6y+36+2y=16

*combine like terms*

-4y+36=16

*subtract 36 on both sides*

-4y=-20

*divide both numbers by -4*

y=5

This is y! Now we need to solve for x.

Step 5: Solving for x

To find x, let’s just substitute y into the equation and solve

x=2y-12

x=2(5)-12

x=10-12

x=-2

Step 6: Ordered pair

(X,y) —> (-2,5)


This is your answer! Hope this helps comment below for more questions :)
6 0
3 years ago
Read 2 more answers
Help help help helpppp
lord [1]

Answer:

39.7

Step-by-step explanation:

first must calculate the length of AB and BC

AB = 16.43

CB= 12.216

then perimeter : Perimeter of a triangle = sum of all three sides

16.43 + 11 + 12.216 = 39.646 = 39.7

4 0
4 years ago
ronaldo delivers the papers at the rate of 6 papers in 24 minutes. how much longer would it take him to deliver 56 papers than 4
UkoKoshka [18]

We are given

Ronaldo delivers the papers at the rate of 6 papers in 24 minutes

so, number of papers =6 in time =24 minutes

so, firstly we can find rate

rate = ( number of papers)/( time taken)

r=\frac{6}{24} =\frac{1}{4}

now, we can find times

Time for 56 papers:

we are given

number of papers =56

rate is

r=\frac{1}{4}

now, we can find time

t_1=\frac{56}{r}

t_1=\frac{56}{\frac{1}{4}}

t_1=224min

Time for 41 papers:

we are given

number of papers =41

rate is

r=\frac{1}{4}

now, we can find time

t_2=\frac{41}{r}

t_2=\frac{41}{\frac{1}{4}}

t_2=164min

now, we can find time difference

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so, we can plug values

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t=60 min..............Answer


8 0
4 years ago
Read 2 more answers
The area on a wall covered by a rectangular poster is 270 square inches. The length of the poster is 1.2 times longer than the w
forsale [732]

Answer:

Length = 18 in

Width = 15 in

Step-by-step explanation:

We have that the area of a rectangle is:

A = L * W

but L = 1.2 * W

A = 1.2 * (W ^ 2)

1.2 * (W ^ 2) = 270

(W ^ 2) = 270 / 1.2

W ^ 2 = 225

Therefore, W is equal to:

W = 225 ^ (1/2)

W = +/- 15, but only +15 makes sense

W = 15

Now for L:

L = 1.2 * 15

L = 18

A = 15 * 18 = 270 in ^ 2

4 0
3 years ago
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