Show that the ratios 10 20 and 30 60 form a proportion by finding a common multiplier. Show that the ratios in part (a) are equal by writing them in simplest form. Show that the ratios 10 20 and 30 60 form a proportion by finding a common multiplier. Show that the ratios in part (a) are equal by writing them in simplest form.

Answers

Answer 1

Answer:

Common multiplier = 10, Equal simplest forms = 1/2

Step-by-step explanation:

Ratio 10 / 20 & 30 / 60 have common multiplier 10.

As 10, 20, 30, 60 are all multiples of 10.

These ratios are equal, as 10/20 = 30/60 = 1/2 (their simplest form)


Related Questions

Tom the turkey is 2.5 feet tall and he casts a shadow that is 4 feet. The Thanksgiving Parade float version of Tom is 14 feet tall. How long is the shadow of the parade float?

Answers

Answer:

22.4 ft

Step-by-step explanation:

Given

[tex]Height = 2.5ft[/tex]

[tex]Shadow = 4ft[/tex]

Required

Determine the shadow of 14 ft Tom

The given parameters represents direct variation.

Let x represents the shadow of Tom.

So, we have:

When

[tex]2.5ft\ height = 4ft\ Shadow[/tex]

[tex]14ft\ height = x[/tex]

Cross Multiply:

[tex]2.5 * x = 14 * 4[/tex]

[tex]2.5 * x = 56[/tex]

Solve for x

[tex]x = 56/2.5[/tex]

[tex]x = 22.4[/tex]

Hence, the height of the shadow is 22.4ft

what is the answer to this? what does a equal?−6(−4+5)=−30+6

Answers

Answer:

I guess it would be 36?

Step-by-step explanation:

Charlie has a giant bag of gumballs and wants to share them with his friends. He gives half of what he has to his buddy, Jaysen. He gives half of what's left after that to Marinda. Then he gives half of what's left now to Zack. His mom makes him give 5 gumballs to his sister. Now he has 10 gumballs left. How many gumballs did Charlie have to begin with?

Answers

Answer:

120 gumballs

Step-by-step explanation:

Let

x = total gumballs

Buddy = 1/2x

Balance = x - 1/2x

= 2x-x/2

= 1/2x

Miranda = 1/2 of 1/2x

= 1/2 × 1/2x

= 1/4x

Balance = 1/2x - 1/4x

= 2x-x/4

= 1/4x

Zack = 1/2 of 1/4x

= 1/2 × 1/4x

= 1/8x

Balance = 1/4x - 1/8x

= 2x-x/8

= 1/8x

His sister = 5

Balance = 1/8x -5

10 = 1/8x - 5

10 + 5 = 1/8x

15 = 1/8x

x = 15 ÷ 1/8

= 15 × 8/1

= 120

x = 120 gumballs

What is 4/6 dived by 3/12

Answers

Answer:

8/3

Step-by-step explanation:

You buy
3.16 pounds of
pears​,
1.15 pounds of
apples​, and
2.18 pounds of
peaches. What is your total​ bill?

1.19 pears, 0.99 apples, 1.29 peaches

Answers

Answer:

if the prices at the bottom are per pound, then:

pears = 3.7604 (3.76)

apples = 1.1385 (1.13)

peaches = 2.8122 (2.81)

total bill = 7.07

Step-by-step explanation:

pears =

1.19 x 3.16 = 3.7604 (3.76)

apples =

0.99 x 1.15 = 1.1385 (1.13)

peaches =

1.29 x 2.18 = 2.8122 (2.81)

total bill =

3.76 + 1.13 + 2.81 = x

x = 7.7

7.7 money-wise = 7.07 (i think)

total bill = 7.07

OR

total bill =

3.7604 + 1.1385 + 2.8122 = x

x = 7.7111

----------------

7.7111 = 7.7 = 7.07

4(14-5)²÷2
HELP ASAP TY

Answers

Answer:

I think it's 162.

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

Following PEMDAS

4(14-5)^2 ÷2

4(9)^2 ÷ 2

4(81) ÷2

324÷2

162


Is the relation shown in the arrow diagram a function? Justify your answer.

Answers

Answer:

NO

Step-by-step explanation:

For a relation to be a function, every input (x-value) must have exactly one output (y-value) mapped to it or related to it.

This means, in a function, an input value cannot give you two different outputs.

Therefore, relation shown in the arrow diagram IS NOT A FUNCTION, because one of the inputs (x-value), which is 1.2, has two different outputs (y-value) that is mapped or related to it, which are 6 and 8.

will mark brainliest ​

Answers

Answer:

[tex]x\geq -6[/tex]

Step-by-step explanation:

If we graph it, we see that the function exists when [tex]x\geq -6[/tex]. Not sure what more I can say.

I hope this helps!

Answer:

D

Step-by-step explanation:

The domain must not let 1/3 x + 2 go less than 0. So equate this binomial to  0 and then use the < or > symbol to indicate what the minimum value is.

1/3 x + 2 = 0      Subtract 2 from both sides

1/3 x = - 2          Multiply 3

3(1/3) x = - 2 * 3

x = - 6

So if x is less than - 6 the binomial will go negative and that is not a permitted value at this level.

So x must be - 6 or bigger.

Let's see what happens when x = - 6

1/3 ( - 6) + 2

-2 + 2

0

That's the minimum value for the domain.

Now try - 9

1/3(-9) + 2

- 3 + 2 = -1

That means you will have √-1 which does not exist in the rational world.

Now try x = 9

1/3 (9) + 2

3 + 2 = 5    which is fine.

So the answer you seek is x ≥ -6

Convert 3, into an improper fraction.

Answers

Answer:

3 5/9

Step-by-step explanation:

Answer:

30/10. An improper faction is a fraction with a numerator higher than the denominator. 3/1 is 3 in fraction form, multiply by 10, and you get 30/10. It would also have worked if you just answered 3/1 but hey!, we like to go above and beyond, right?

A store pays $10 for each video game. The store’s percent of mark up is 20%. Which shows the retail price of the video game?

Answers

Answer:

$12

Step-by-step explanation:

Put the following in order from least to greatest .
98.9 90.9 .09 90.89
Place answer here:


Put the following in order from least to greatest
67.03 67.33 .09 .87
Place answer here:

Answers

90.89, 90.9, 98.9, .09

67.33, 67.03, .87, .09

is -33 a whole number?​

Answers

Answer/Step-by-step explanation:

-33 is not a whole number. A whole number is a number(positive) that contains no decimals nor fractions.

Solve -7w + 6 = -4w2 using the Quadratic Formula.
W =
and w=

Answers

Answer:

w=7±i√47

-----------

   8

Step-by-step explanation:

If the value of 2x^3 is 2, then what is the value of ?

Answers

Answer:

34

Step-by-step explanation:

34

The value is 34.
Hope this helps

this question is about Ratio tables help I'm struggling​

Answers

10.5/5 = 2.1 trees per cabin
3 * 2.1 = 6.3 trees for 3 cabins
7 * 2.1 = 14.7 trees for 7 cabins

Answer:

Step-by-step explanation:

fguyy

A student spends $1.85 for a sandwich, $1.15 for a drink, $0.65 for a bag of chips, and $1.10 for two apples. How much money does the student spend at lunch, in dollars and cents?

Answers

Answer:4.75

Step-by-step explanation:

do the math all you will get what i got

The student spends at lunch 4.75 dollars or 475 cents.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

A student spends $1.85 for a sandwich, $1.15 for a drink, $0.65 for a bag of chips, and $1.10 for two apples.

Now,

Since, A student spends $1.85 for a sandwich, $1.15 for a drink, $0.65 for a bag of chips, and $1.10 for two apples.

Hence, The amount of total money in dollars is,

⇒ $1.85 + $1.15 + $0.65 + $1.10

⇒ $4.75

We know that;

⇒ 1 dollar = 100 cents

Hence, we get;

⇒ 4.75 dollars = 4.75 × 100

                       = 475 cents

Thus, The student spends at lunch 4.75 dollars or 475 cents.

Learn more about the measurement unit visit:

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What is the slope of the line through (6,9) and (7, 1)

A. - 1 over 8

B. -8

C. 1 over 8

D. 8

Answers

Answer:

B

Step-by-step explanation:

The  y values minus each other over the x values minus each other

I am sorry for all the people I am making mad.

Answers

Answer:

who are you making mad??...

Step-by-step explanation:

Answer:

                                     

Step-by-step explanation:

Which one does not belong?
a. 10 miles per 2 hours west
b. 33 km/s north
c. coming to a stop
d. 9 m/s upward

Answers

Answer:

i would think that the answer is c. coming to a stop

Answer: C doesn’t belong

Kelly had a Hershey chocolate bar. She broke the bar into 5 pieces. Her friend Grace
ate 2/5 of the bar, Her friend Kayla ate 1/5 of the same bar. How much of the bar was
left for Kelly to eat?

Answers

Answer:

2/5 is left

Step-by-step explanation:

What is the solution

Answers

Answer:

Infinite amount of solutions.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

y = -3x - 2

4y = -12x - 8

Step 2: Solve for x

Substitute in y:                              4(-3x - 2) = -12x - 8Distribute 4:                                   -12x - 8 = -12x - 8Add 8 to both sides:                     -12x = -12xDivide both sides by -12:              x = x

Here we see that x does indeed equal to x. Therefore, x can be any value.

∴ The systems of equations have infinite amount of solutions.

Find the volume of the cone.




175.9 m3

Correct Answer
167.6 m3

Incorrect Response
418.9 m3


502.7 m3

Answers

Answer:

B

Step-by-step explanation:

PLEASE HELPP WILL GIVE BRAINLIEST IF CORRECT!! no copied answers!

Answers

if x is 100 the units would be 96

if x is 102 the units would be 98.07

Find the slope of the line that passes through (8,10) (1,1)

Answers

Answer:

9/7

Step-by-step explanation:

slope m= rise/run= (y2-y1) / (x2-x1)

m= 10-1/8-1 = 9/7

Los lados de un cuadrilátero mide 6,8,7,9con tal como se muestra en la figura si se realiza una producción sensual y al lado correspondiente a 7ck haora mide 12cm ¿cuánto debe medir los demás lados

Answers

Answer:

The other sides 6,8, and 9 will be11cm, 13cm, and 14cm respectively

Step-by-step explanation:

Step one:

given that the sides of the quadrilateral are:

6,8,7, and 9 in dimension.

And the side corresponding to 7 now measures 12

we may agree that the side has increased by 5cm, hence 5 has been added to that side.

Step two:

we can say that  the other side will increase as follows

[tex]side_6= 6+5= 11cm\\\\side_8=8+5=13cm\\\\side_9=9+5=14cm\\\\[/tex]

PLEASE HELP AS SOON AS POSSIBLE WILL GIVE BRAINLIEST

Simplify the expression (x^3-5x^2+7x-12)/(x-4) using long division. Show your work.

Answers

Answer:

Step-by-step explanation:

         x^2 - x +3

        ___________

  x-4 | x^3-5x^2+x-12

        | x^3-4x^2

        |__________

        |        -x^2 +x

        |        -x^2+4x

        | __________

        |                -3x -12

                         -3x-12

        |____________

                       0

If the expression be (x³ - 5x² + 7x - 12) / (x-4) then the remaining exists x² - x + 3.

What is meant by an expression?

An equation is not the same as a mathematical expression. Expressions represent a group of integers, as opposed to equations, which represent a single number.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

The mathematical procedure for dividing large numbers into numerous smaller groups or parts is known as long division. The dividend is the number we divide into smaller groups, and the divisor is the number by which we divide. A problem can be solved by breaking it down into manageable steps.

Let the expression be (x³ - 5x² + 7x - 12) / (x-4)

[tex]$x^3-5 x^2+7 x-12=(x-4)\left(x^2-x+3\right)$[/tex]

simplifying the above equation, we get

[tex]$=\frac{(x-4)\left(x^2-x+3\right)}{x-4}$[/tex]

Cancel the common factor: x - 4

= x² - x + 3

Therefore, if the expression be (x³ - 5x² + 7x - 12) / (x-4) then the remaining exists x² - x + 3.

To learn more about expression  refer to:

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For the graph, locate the x-intercept and the y-
intercept.
The x-intercept is at
The y-intercept is at

Answers

x intercept= 6
y intercept= -2

Answer:

(6,0)

(0,-2)

Step-by-step explanation:

Find the slope of the line that passes through (9,10) and (6,8)​

Answers

Answer:

2/3x+4

Step-by-step explanation:

Answer:

m=2/3

Step-by-step explanation:

y1-y2= 10-8=2

x1-x2=9-6=3

Jeremy bought a $60 pair of sneakers on sale for 15% off. Then, he used a coupon that gave him an additional 10% off. Can Jeremy find the cost of the sneakers by adding the percents? Why or why not?

Answers

Answer:

Jeremy find the cost of the sneakers by solving for the values of the 10% in dollars and subtracting the dollar amount from the cost of the sneaker

Step-by-step explanation:

Step one:

given data

cost of sneakers= $60

Required

the cost of the sneaker after the two discounts

Actually, the two percents given are the discount of the sale.

the first discount is

15%= 15/100*60

=0.15*60

=$9

The second is 10% coupon

10/100*60

=0.1*60

=$6

The total discounts = 9+6= $15

The cost of the sneakers= 60-15= $45

Jeremy find the cost of the sneakers by solving for the values of the 10% in dollars and subtracting the dollar amount from the cost of the sneaker

Part A )a painter leans a ladder up against a building. The base of the ladder is placed 7 feet from the building to reach a height of 24 feet. How long is the ladder
Part B) The painter uses the same ladder from part A, but now needs to reach a height of 19 feet.How far away does the base of the ladder need to be placed from the building? ​

Answers

Answer:

Part A). 25 feet

Part B). 16.25 feet

Step-by-step explanation:

Part A). By applying Pythagoras theorem in ΔABC,

            AC² = AB² + BC²

            AC² = (24)² + 7²

            AC² = 576 + 49

            AC = √625

                  = 25 feet

Part B). By applying Pythagoras theorem in ΔABC,

            AC² = AB² + BC²

           (25)² = (19)² + x²

           625 = 361 + x²

           x² = 625 - 361

           x = √264

           x = 16.25 feet

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