How can we tell that 4:1 and 12:3 are equivalent ratios?

Answer:

55%

Step-by-step explanation:

1430 divided by 2600 is 0.55

0.55 is 55%

The rule in vector notation for the translation to the right is described by the following formula:

[tex]V'(x,y) = V(x,y) + (9, -4)[/tex]

Vectorially speaking, a translation is described by the following expression:

[tex]V'(x,y) = V(x,y) + T(x,y)[/tex] (1)

Where:

By direct inspection we see that parallelogram C'D'E'F' translated to the right is moved 9 in +x direction and 4 in -y direction. Hence, the translation vector is equal to:

[tex]T(x,y) = (9, -4)[/tex]

And the rule in vector notation for the translation to the right is described by the following formula:

[tex]V'(x,y) = V(x,y) + (9, -4)[/tex]

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Divide total dollars by the conversion rate:

68/1.36 = 50

Answer: £50

Manuel needs 20 liters of the 8% and 5 liters of 20% mixtures to be mixed so as to get 30 liters of a mixture of water and 10% lemon juice.

Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.

Since Manuel wants to produce a 30 liters mixture from 8% lemon juice and 20% lemon juice, hence:

x + y = 30      (1)

Also, Manuel wants 30 liters of a mixture of water and 10% lemon juice, hence:

8% of x + 20% of y = 10% of 30 liters

0.08x + 0.2y = 3         (2)

Solving equation 1 and 2 simultaneously; multiply equation 1 by 0.2 and subtract equation 2 from the result:

0.12x = 3

x = 25 liters

x + y = 30

25 + y = 30

y = 5 liters

Manuel needs 20 liters of the 8% and 5 liters of 20% mixture

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(i) The graph of f is symmetric about the y-axis - this is another way of saying f is an even function, which means

[tex]f(x) = f(-x) \iff \dfrac{ax+b}{x^2-c} = \dfrac{-ax+b}{x^2-c}[/tex]

The denominator remains unchanged, so

ax + b = -ax + b

Solve for a :

ax = -ax

2ax = 0

a = 0

(The alternative is that x = 0, but if that were the case then there would be infinitely many choices for a.)

So

[tex]f(x) = \dfrac{b}{x^2-c}[/tex]

(ii) Since

[tex]\displaystyle \lim_{x\to2^+}f(x) = +\infty[/tex]

it follows that x - 2 must be a factor of the denominator. If that's true, then

x ² - c = (x - 2) (x - r )

for some other root r of x ² - c. Expanding the right side gives

x ² - c = x ² - (2 + r )x + 2r

so that

-(2 + r ) = 0   ===>   r = -2

2r = -c   ===>   -c = -4   ===>   c = 4

and so

[tex]f(x) = \dfrac{b}{x^2-4}[/tex]

(iii) Finally, we're given that f ' (1) = -2. Differentiating f gives

[tex]f'(x) = -\dfrac{2bx}{(x^2-4)^2}[/tex]

so that

[tex]f'(1) = -\dfrac{2b}{(1^2-4)^2} = -\dfrac{2b}{9}[/tex]

Then

-2b/9 = -2   ===>   b = 9

and we find that

[tex]f(x) = \dfrac{9}{x^2-4}[/tex]

Answer:

c=9

Step-by-step explanation:

Let's solve your equation step by step:

1. [tex]1.5c-6+6=7.5+6[/tex]

1.5 [tex]1.5c=13.5[/tex]

2.[tex]\frac{1.5c}{1.5c}=\frac{13.5}{1.5c}[/tex]

3. C=9

1.5(9)-6=7.5

13.5-6=7.5

Answer:

9/20 or 45%

Step-by-step explanation:

Step-by-step explanation:

WHY IT IS SAYING YO WRITE AT LEAST 20 CHARACTERS

OHH, IT IS ALREADY 20 CHARACTERS

8.

Since they have twice as many games won as lost there are 3 parts.

The losing part and the two winning parts.

The winning part is [tex]\frac{2}{3}[/tex] the games while the losing part is [tex]\frac{1}{3}[/tex] the games.

Just multiply [tex]\frac{2}{3}[/tex] by the games played to find the games won.

[tex]\frac{2}{3} (96)=\frac{192}{3} =64[/tex]

The ravens won 64 games.

10.

Make a system of equations.

Let s be the number of skips interviews and w be the number of woodys interviews.

s=w-8

s+w=20

Then just use algebra to rearrange and find each persons interviews.

For this one we can rearrange the second equation to get s=20-w.

Since we have two solutions for s we can set them equal.

w-8=20-w

2w-8=20

2w=28

w=14

Now that we have the number of woodys interviews substitute it into the first equation to get skips interviews.

s=w-8

s=14-8

s=6

So skip had 6 interviews and woody had 14 interviews.

12.

Make a system of equations

y-x=7

x+y=33

Then just use algebra to rearrange and find each amount of items.

Start by solving with substitution. (Elimination could work too im just going to use substitution.)

y-x=7

y=7+x

Substitute into the second equation

x+(7+x)=33

2x+7=33

2x=26

x=13

Now plug this x value back into the first equation

y-13=7

y=20

The number of items on one list is 13 and the number of items on the second list is 20.

Answer:

Gfd 600

Step-by-step explanation:

Answer:

2

I hope this helps you...

Answer:

it could be 1/8

Answer:

PLS MARK BRAINLIEST

Step-by-step explanation:

m= y2 - y1/ x2 - x1( slope of a line)

m = 8 -0 / 7- 0

8/7 = m

m = 1.1

since m =y - y1/ x - x1

1.1 = y - 0/ x-0

1.1 = y/x(cross multiply)

y = 1.1 x

y -1.1 x = 0

or

y - 8/7 x = 0

Answer:

Step-by-step explanation:

first open the bracket

3x-12-2x=6

collect like terms

3x-2x-12=6

x-12=6

x=12+6

x=18

This is your answer

Answer:

$29.90

Step-by-step explanation:

Just multiply gallons by price:

13 gallons x [tex]\frac{2.30 dollars}{1 gallon}[/tex] = 29.9

The answer is -445/4 in improper fraction form, -111 1/4 as a mixed fraction, and -111.25 in decimal form.

Answer:

-111.25

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

Answer:

5 apples

Step-by-step explanation:

because jonny never had any taken away or added

BENJI KROL + NIC KAUFMANN FOREVER

Answer:

hope it helps .... . . ........................!

Answer:

1 1/2 or 1.5

Step-by-step explanation:

Hope it helps sorry if it's wrong :)

Answer:

69 degrees

Step-by-step explanation:

m is a point, if your trying to find lkh, is 69

lkm=111, and jkl=180, so 180-111=jkm

jkm=69

angles that are diagonal from each other are the same degree

lkh=69

hope this helps, if not see me in the commnets

HOPE THIS HELPS, BRAINLIEST PLEASE

Answer:

m < LKH = 69°

Step-by-step explanation:

Given that m < LKM = 111° and that:

<LKM and <LKH are adjacent angles as they share the same vertex, point K, and same ray between them, KL:

Then we can assume that m < LKM and m < LKH are supplementary angles whose sum = 180°.

Therefore, we can establish the following equation:

m < LKM + m < LKH = 180°

111° + m <LKH = 180°

Subtract 111° from both sides to solve for m < LKH:

111° - 111° + m <LKH = 180° - 111°

m < LKH = 69°

Therefore, the measure of < LKH is 69°.

Please mark my answers as the Brainliest if you find my explanations helpful :)

[tex]food = \frac{1}{3} \times 48000 = 16000 \\ rent = \frac{1}{5} \times 48000 = 9600 \\ clothes = \frac{1}{4} \times 48000 = 12000 \\ food + rent + clothes = x \\ 16000 + 9600 + 12000 = 37600 \\ ndagune \: income - what \: he \: spends = what \: he \: saves \\ 48000 - 37600 = 10400 \\ ndagune \: saves \: 10400[/tex]

Answer:

no HAHHAAHHA

Step-by-step explanation:

WHAT IS THAT

Answer: 1/3

Step-by-step explanation: 2/3 - 1/3 = 1/3

#1

Hence inequality will be

[tex]\\ \sf\longmapsto -6\leqslant 5[/tex]

#2.

But we need inequality

[tex]\\ \sf\longmapsto 3\leqslant 5[/tex]

#3

The inequality given by

[tex]\\ \sf\longmapsto -6\leqslant 3\leqslant 5[/tex]

Answer:

Step-by-step explanation:

Given numbers:

If we add these onto number line, we'll see them in same order from left to right.

We know the numbers increase from left to right on the number line, so the numbers to the left are smaller than the numbers to the right.

1.

2.

3.

Answer:

m = 2/3

Step-by-step explanation:

4y = -6x + 72

y = -3/2x + 18

Negative reciprocal = 2/3

Answer:

1st year

50hdnjxwmmwdbbd

djjrjeuie

Answer:

a. 738.73

Step-by-step explanation:

hope that’s righttt.

What I did was 500x0.05 and with the answer I did x0.5 again and added it to the previous year until the 8th time each was 738.73 correct me if I’m wrong

edit so it’s wrong….not sure what I did wrong

Answer:

angle 4 = 56°

Step-by-step explanation:

Interior angles in the same side of the transversal are supplementary (their sum is 180°)

Angle 1 and 4 are interior angles on the same side of the transversal.

So, angle 1 + angle 4 = 180°

Angle 1 = 124° (given)

124 + angle 4 = 180°

angle 4 = 180° - 124° = 56°

Therefore, angle 4 = 56°

Hope it helps :)