Learning Task 2: Solve each proportion
1) 5/12 = 35/ n
2) n/ 52 = 180/ 120
3) 18/n = 21/28
4) n/4 = 24/6
5) 10/16 = n/56

Answers

Answer 1

1. [tex] \frac{5}{12} = \frac{35}{n} \\ 5n = 35 \times 12 \\ 5n = 420 \\ n = \frac{420}{5} \\ n = 84[/tex]

2. [tex] \frac{n}{52} = \frac{180}{120} \\ 120n = 180 \times 52 \\ 120n = 9360 \\ n = \frac{9360}{120} \\ n = 78[/tex]


Related Questions

WILL GIVE BRAINLIEST
(7x-17)
(4x-5)
(2x+3)
The perimeter of this triangle is _____m.

Answers

The triangle is congruent so the sides can be set equal to each other. 2x+3 = 4x-5
x = 4
Perimeter = 33

24+3m>6

Plot this on a number line and show steps please

Answers

[tex]\\ \tt\rightarrowtail 24+3m>6[/tex]

[tex]\\ \tt\rightarrowtail 3m>6-24[/tex]

[tex]\\ \tt\rightarrowtail 3m>-18[/tex]

[tex]\\ \tt\rightarrowtail m>-6[/tex]

Refer to attachment

Help help help help help help

Answers

Answer:

This is 0.8 to the nearest tenth.

Step-by-step explanation:

FYI, to round to the nearest tenth, look at the second number after the decimal point. If it is 5 or more then round the first number after the point up one e.g.. If the answer was 0.850375,you round up which is 0.9 to the nearest 10th.

If the second number after the decimal point is less than 5 (in this case) you round down to 0.8.        (BRAINLIETS PRETTY PLEASEEEE OvO)


If the perimeter of an isosceles triangle is
21cm. Find the product of the other two side if the base
side is 9cm

Answers

Answer:

6 cm for both sides

Step-by-step explanation:

6cm for both sides I

b
b. (2x) + +
)
(2x3/4)+1/4=

Answers

Answer:

Exact Form:

7/4

Decimal Form:

1.75

Mixed Number Form:

1 3/4

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Trey has bought 10 pounds of dog food. He feeds his dog
pounds for each meal. For how many meals will the food last?

Write your answer in simplest form

Answers

how many pounds does he feed his dogs for each meal?

Write an inequality to show: The population of China (p) is at least 1,000,000,000 people.
I'll try to mark brainiest

Answers

Answer:

p ≥ 1,000,000,000

Step-by-step explanation:

since it says "at-least" that is implying that, that is the estimate and there is most likely more people and it is not exactly 1,000,000,000 so we need to use ≥ to show that it could be greater than or equal to 1,000,000,000.

solve pls brainliest

Answers

Answer:

4 cm

Step-by-step explanation:

Where 7 cm is located is parallel to the side of 11cm

11-7 is 4cm.

Hope that helps!

There are 20 school days in a month. About how many miles does Manuel walk each month? Write an equation to show your work.

Answers

Answer:

he  walks at lest 5 miles

Step-by-step explanation:

idrk uuhm ...........................................................

Answers

Answer:

huh

Step-by-step explanation:

Answer:  Im sorry what is the question?

Step-by-step explanation:

What is 75.65 rounded to the nearest whole number?​

Answers

It is 76 as the other person said, what I like to think to help me remember is five or more raise the score, 4 or less, let it rest

Can I have the answers to EVERY question?

Answers

Hey where are the questions?


Yesterday, Chris had m baseball cards. Today, he gave 18 away. Using m, write an expression for the number of cards Chris has left.

Answers

m-18

(MARK ME BRAINLIEST PLS I WILL GET NEW RANK(ACE) Pls))

Một người tiêu dùng có thu nhập I = 1.200 đ dùng để mua hai sản phẩm X và Y với giá tương ứng là PX = 100đ/sp và PY = 300đ/sp. Mức thoả mãn được thể hiện qua hàm số:

TUX = -1/3X2 + 10X

TUY = -1/2Y2 + 20Y

a. Hãy xác định phương án tiêu dùng tối ưu của người này?

b. Tính tổng hữu dụng tương ứng đạt được?

Answers

gak bisa bahasa inggris.

Step-by-step explanation:

maap.

i need help with this word problem please! :)

Answers

Answer:

Step-by-step explanation:

ASSUMING all family members purchased ride tickets

Let n be the number of family members

148 = 8 + n(16 + 12)

140 = 28n

n = 5

please answer fully /////////////

Answers

Answer: 6

Step-by-step explanation:

PEMDAS. 3 * {(10+35) / 9 - 3}             10+35=45  45/9= 5    5-3=2     2*3= 6

In Brad's golf bag, he has 3 times more white golf balls than yellow golf balls. He has 18 white golf balls in his bag.

Which equation can be used to find how many yellow golf balls, y, Brad has in his bag?
A.
3 + y = 18
B.
18 + y = 3
C.
3y = 18
D.
18y = 3

Answers

Answer:

C

Step-by-step explanation:

C because it is saying 3 times the non given answer is 18 which id the given answer

the odds against your bet are to 3. if you bet $27 and win. how much you win​

Answers

If you win, you will get eighty-one dollars ($81.00)
If you win you will get $81 because 3*27= 81

Can anyone plz help me out with this?
I am all mixed up
I also need to find the axis of symmetry as well.
Thanks for the help
I appreciate it

Answers

Answer:

Down here    ↓↓↓↓↓

Step-by-step explanation:

(a) Does the Parabola open upward or downward

Upward - the open "space" is above the vertex, so it opens upward

(b) X and y  intercepts

x - intercepts : where the graph touches the x - axis

                      x - intercepts = (2, 0) , (4, 0)

Warning, don't get it mixed up! X - intercepts have y - values of 0, and y - intercepts have x - values of 0

y - intercepts : where the graph touches the y - axis

                      y - intercepts = (0, 3)

(c)  Vertex of the parabola

vertex: the point of symmetry

          vertex : (4, -1)

(d) Axis of symmetry

axis of symmetry : x - value of vertex

                            axis of symmetry : x = 4

-Chetan K

How do you solve linear equations using the distributive property?

Answers

Answer: Solving two-step linear equations using distributive property: a (x+b)=c;aleft ( {x + b} ight) = ca (x+b)=c Solving linear equations using multiplication and division Solving two-step linear equations: ax+b=cax + b = cax+b=c, xa+b=c {x over a} + b = cax​+b=c

Step-by-step explanation:

Answer:

solving equations using distributive property. We'll guide you through two ways that the following question can be solved.

Question: 11.32 = 8(0.61 + x)

Solution 1:

11.32 = 8(0.61+x)

Divide both side by 8, you get 1.415 = 0.61 +x

Minus both side by 0.61, 0.805 = x

In this solution, we first try to move all the non-x terms over to one side. The first step of dividing both sides by 8 helps us move the 8 from the right side to the left side. This allows us to get rid of the parentheses too as the terms no longer have to be multiplied out (there's nothing to multiply them with). Then, in order to move 0.61 to the left side, we'll minus it from both sides. In the end, we'll get that x ultimately equals 0.805.

Solution 2:

11.32 = 8(0.61+x)

Open up the right side, you get 11.32 = 4.88+8x

Minus both side by 4.88, you get 6.44 = 8x

Divide both side by 8, you get 0.805 = x

In solution 2, we're truly using the distributive property. We're going to distribute 8 into the terms in the parentheses, which are "+0.61" and "+x". This gives us 4.88 + 8x on the right side of the equation. Then we can move over 4.88 to the left side with the rest of the non-x terms by minusing it from both sides. Lastly, divide both sides by 8 to move the 8 over to the left side and you'll find that x = 0.805. Both methods will bring you to the same correct answer.

If there are 42 boys and 30 girls in a room
Ratios

Answers

42 / 6 = 7

30 / 6 = 5

7 boys and 5 girls on each of 6 teams.

Note, this is the minimum number of boys and girls on a team.

There could be 70 boys and 50 girls on each of the 6 teams.

Or even 7000 boys and 5000 girls.

Ratio does not provide an specific number only the relation between two quantities

Adam And Eve had 32 apple in 8 barrels how many would they have in all?

Answers

Answer:

Adam and Eve will have 4 apples in each barrel

Step-by-step explanation:

32/8

= 4

Three times the difference “2x minus 1” is the opposite of 9 times x. Solve for x.

Answers

Answer:

x = 1/5 - first box

Step-by-step explanation:

Let's interpret this by using what I call the "isolated-x method."

First, we can simplify whatever's being affected in the parentheses.

#1: 3 times (2x) is equal to 6x

#2: 3 times (- 1 | equal to -1) results in -3, or + -3

So now we're working with 6x - 3 = -9x.

Now, we'll add a positive 9x to the -9x, since it can be hugely helpful to have one side result in 0.

Now we're working with 15x (6x + our new 9x) - 3 = 0

Since we have "whole like terms" we can now easily add 3 to each side.

Now we're working with 15x = 3 (0 + our new 3)

We can finish by dividing each side by 3.

15x = 3 now turns into 5x = 1.

To get from 5 to 1 you can multiply 5 by its "multiplicative inverse," also known as 1/5.

Therefore, x = 1/5

Hopefully this helped a bunch! Tell me if you need any further assistance...

( :

For a project in her Geometry class, Kylie uses a mirror on the ground to measure the
height of her school's flagpole. She walks a distance of 14.25 meters from the flagpole,
then places a mirror on flat on the ground, marked with an X at the center. She then
steps 1.35 meters to the other side of the mirror, until she can see the top of the
flagpole clearly marked in the X. Her partner measures the distance from her eyes to
the ground to be 1.25 meters. How tall is the flagpole? Round your answer to the
nearest hundredth of a meter.

Answers

The project in her Geometric class is an illustration of equivalent ratios

The approximated height of the flagpole is 13.19 meters

The given parameters are:

Distance from flagpole (D) = 14.25

Distance to the other side of the mirror (d) = 1.35

Kylie's height (h) = 1.25

To calculate the height (H) of the flagpole, we make use of the following equivalent ratios

[tex]\mathbf{D :d = H :h}[/tex]

Substitute known values

[tex]\mathbf{14.25 :1.35 = H :1.25}[/tex]

Express as fraction

[tex]\mathbf{\frac{14.25 }{1.35 }= \frac{H }{1.25}}[/tex]

Multiply both sides by 1.25

[tex]\mathbf{H = 1.25 \times \frac{14.25 }{1.35 }}[/tex]

Multiply

[tex]\mathbf{H = 13.19 }[/tex]

Hence, the approximated height of the flagpole is 13.19 meters

Read more about equivalent ratios at:

https://brainly.com/question/18441891

The price of an item has been reduced by 85%. The original price was $37.

Answers

Answer:  Multiply the original price by the decimal form of the percent and subtract that from the original price.

37*0.85=31.45

37-31.45=5.55

Answer: New price is $5.55

Someone help me on PART B:

Answers

Step-by-step explanation:

given expression,

4(3x - 1) - 2(6 + 2x)

given,

x = 12.5

so q/q

→ 4[3(12.5) - 1] - 2[6 + 2(12.5)]

→ 4(37.5 - 1) - 2(6 + 25)

→ 4 × 36.5 - 2 × 31

→ 146 - 62

→ 84

therefore, 84 articles store received last Thursday.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.

Answer:

84

Step-by-step explanation:

thanks i'll mark brainliest ​

Answers

Answer:

1.

Step-by-step explanation:

if something traveled 36 feet in 22 frames in a 60 fps video, how fast would that be in mph?

Answers

i calculated that the answer will be roughly 24.9 miles per hour.

Roughly 24.9 miles per hour

Work out the area of this semicircle.
Take a to be 3. 142 and write down all of the digits given by your calculator.
11 cm

Answers

Answer:

Step-by-step explanation:

A = πr²/2 = 3.142(11²)/2 = 190.091 cm²

8
There are 5 times as many pens in box A as in box B.
Teddy moves 82 pens
from box A to box B.
Both boxes now have the same number of
pens.
How many pens are in box A now?

Answers

Answer:

123 pens in Box A

Step-by-step explanation:

To solve this we will rewrite the word problem as an equation...

5x (A)

x (B)

When Teddy moves 82 pens from A to B, he is subtracting 82 pens from Box A and adding 82 pens to Box B...

5x - 82 (Change in Box A - subtraction)

x + 82 (Change in Box B - addition)

The problem now states that Box A and Box B are equal...

5x - 82 = x + 82

--- subtract x from both sides ---

4x - 82 = 82

--- add 82 to both sides ---

4x = 164

--- divide both sides by 4 ---

x = 41 pens

Now, we replace the x in the expression "5x - 82" with 41...

5(41) - 82 = 205 - 82

205 - 82 = 123

123 pens in Box A

Hope this Helps!

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