If y varies directly with x and
y=15 when x is 9, what is x when
y=30?

Answers

Answer 1

Answer:

x = 18

Step-by-step explanation:

given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = 15 when x = 9 , then

15 = 9x ( divide both sides by 9 )

[tex]\frac{15}{9}[/tex] = x , that is

x = [tex]\frac{5}{3}[/tex]

y = [tex]\frac{5}{3}[/tex] x ← equation of variation

when y = 30 , then

30 = [tex]\frac{5}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )

90 = 5x ( divide both sides by 5 )

18 = x

Answer 2
Answer: 18

Step-by-step explanation:
Y = Xk
15 = 9k
15/9 =k
30 = 15/9 × X
30/1 ÷ 15/9 =X
30/1 × 9/15 = 270/15


Related Questions

The body of a 154 pound person contains approximately 2 x 10^-1 milligrams of gold and 6 x 10^1 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body

Answers

let a be aluminum and g be gold and k how many times:

2*10⁻¹mg a+ 6*10¹mg g= 154 lb

so a=kg

k=a/g

k=2*10⁻¹/6*10=1/300

a=1/300g

so Aluminum is 1/300 of gold.

pls help I really need to do this due today!!!!!!

Answers

Answer:

B She is correct because the shape is a quadrilateral with at least one pair of Parallel sides.

Step-by-step explanation:

The side on the top is parallel with the side on the bottom.

It could not be A because there is only one pair of parallel sides.

It can’t be C or D because the shape is a trapazoid.

Answer:

B

Step-by-step explanation:

!! She is correct because the shape is a quadrilateral with at least one pair of parallel sides.


##Have a lovely day today ^^!

Which expression is equivalent to (8x+6)+(10x−30)?

18(x−24)
9(2x−24)n

18x−3618

6(3x−4)

Answers

18(x-24) is the expression that’s equivalent to (8x+6)+(10x-30)

what is the number for x
5= x over 6

Answers

Answer:

x=30

Step-by-step explanation:

5=x/6

30=x

Find the measures of all of the angles.

1. ∠ABC =
2. ∠BCA =
3. ∠CAB =

Answers

Answer:

1. ∠ABC =60

2. ∠BCA =90

3. ∠CAB =30

Step-by-step explanation:

3 angles will equal 180 deg.

the right angle is 90 degrees, always.

so (90) + (5x) +  (9x+6) = 180

combine like terms

14x + 96 = 180

move like terms to isolate x

14x = 180-96

14x = 84

divide both sides by 14 to isolate x

x = 6

∠CAB = 5x    replace 6 for x, = 30

∠ABC = 9x+6, replace 6 for x = (9*6) + 6, = 60

what is the simplified answer to 1/2(x+1)-1/3(x-1) ???

Answers

Answer:

.5x+.5-1/3x-1/3

Step-by-step explanation:

You then would combine like terms and get x

Pretty please help me

Answers

Answer:

15 percent

Step-by-step explanation:

just look up 180 plus each percentage

A semicircular window with a RADIUS OF 20 inches is going to be laminated with a sunblock coating that costs 1.50 PER SQUARE INCH. How much will it cost to coat this window?

A: 200$
B: 942$
C: 1,593$
D: 1,884$

Answers

Answer:

B:942$

Step-by-step explanation:

(pi*20^2)/2 is approximately 628.32

628.32*1.5=942.48

We have,
Diameter of a semicircular window is 24 inches. Radius of window is 12 inches.
Lou wants to insert a laminated sun-block coating that costs $1.50 per square inch to apply.
It means we need to find the area of semicircular window. IT is given by :


Cost per square inch is $1.50. So, Lou spend to coat the window with sun-block is

So, Lou spend to coat the window with sun-block is $339.12.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

8/6 of a pizza is eaten

Answer:

1 1/3 pizzas.

Step-by-step explanation:

AddingL

5/6 + 3/6 = 8/6

= 1 2/6

= 1 1/3 pizzas.

Please help! Will mark brainlyest.

Answers

Answer:

It would be the last one

Step-by-step explanation:

Solve for x in 41n(x-7)=8

Answers

Answer:

Simplifying

41n(7x) = 8

Remove parenthesis around (7x)

41n * 7x = 8

Reorder the terms for easier multiplication:

41 * 7n * x = 8

Multiply 41 * 7

287n * x = 8

Multiply n * x

287nx = 8

Solving

287nx = 8

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '287x'.

n = 0.02787456446x-1

Simplifying

n = 0.02787456446x-1

Step-by-step explanation:

evaluate the expression 4x for each value of x

Answers

4x equals 78 it is the best answer to go with

Which expression is equivalent to ? Prove your choice is correct.

Answers

[tex]\\ \rm\Rrightarrow \dfrac{(11^6.6^9)^2}{11^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{11^{6(2)}.6^{9(2)}}{11^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{11^{12}.6^{18}}{11^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{11^{12-3}6^{18}}{}[/tex]

[tex]\\ \rm\Rrightarrow 11^96^{18}[/tex]

Answer:

B

Step-by-step explanation:

[tex]\sf Given \: expression\: :\dfrac{(11^6 \cdot 6^9)^2}{11^3}[/tex]

[tex]\sf Apply\:exponent\:rule\quad (a^b)^c=a^{bc} :[/tex]

[tex]\sf \implies \dfrac{11^{6 \times 2} \cdot 6^{9\times2}}{11^3}[/tex]

[tex]\sf \implies \dfrac{11^{12} \cdot 6^{18}}{11^3}[/tex]

[tex]\sf \implies \dfrac{11^{12}}{11^3} \cdot 6^{18}[/tex]

[tex]\sf Apply\:exponent\:rule\quad \dfrac{a^b}{a^c}=a^{b-c} :[/tex]

[tex]\sf \implies 11^{12-3} \cdot 6^{18}[/tex]

[tex]\sf \implies 11^{9} \cdot 6^{18}[/tex]

HELPL ME PLEASE I HAVE THE IMAGE READ IT !!!!!

Answers

Answer:

494

Step-by-step explanation:

931-437=494 :)

The dimensions of the rectangular prism are shown on the net below. Which of the following is closest to the total surface area of the figure?
A. 101.6 cm^2
B. 203.2 cm^2
C. 285.1 cm^2
D. 178.7cm^2

Answers

The area of a 2D form is the amount of space within its perimeter. The total surface area of the rectangular prism is 203.2 units².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or other quadrilaterals, multiply its length by its width.

The total surface area of a rectangular prism is given by the formula,

Total Surface Area = 2[(Length×width) + (Length×height) + (height×width)]

Given the length of the rectangular prism is 9cm, the width of a rectangular prism is 7.6 cm, and the height of the prism is 2 cm. Therefore, the total surface area can be written as,

[tex]\text{Total Surface Area} = 2[(9 \times 7.6) + (9 \times 2)+(2 \times 7.6)][/tex]

                              [tex]\rm = 2(68.4+ 18 + 2 \times 15.2)\\\\= 203.2\ cm^2[/tex]

Hence, the total surface area of the rectangular prism is 203.2 units².

Learn more about the Area:

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There is a map of the world on the wall in
Mr. Smith's classroom. The scale on the
map
lists 1 inch to 400 miles. On his map,
Mr. Smith measured 13 inches between the
United States and Europe. How many
miles is the distance from the
United States to Europe?
[? ] miles

Answers

The distance from the United States to Europe is 5200miles.

We have given that the,

There is a map of the world on the wall in Mr. Smith's classroom.

The scale on the map

lists 1 inch to 400 miles.

On his map, Mr. Smith measured 13 inches between the United States and Europe.

What is the value of one inch?

The value of one inch is 400 miles.

We have to determine the 13 inches in miles

We have given that

1inch=400miles

Therefore multiply both side by 13 so we get

13inches=13(400)miles

             =5200miles

Therefore we get, the distance from the United States to Europe is 5200miles.

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Answer:

5200

Step-by-step explanation:

If the scale on the map is 1 inch to 400 miles, and Mr. Smith measured 13 inches between the United States and Europe, we can find the distance in miles by multiplying the number of inches by the scale:

Distance in miles = Number of inches * Scale

Distance in miles = 13 inches * 400 miles/inch

Distance in miles = 5200 miles

Therefore, the distance from the United States to Europe, based on Mr. Smith's map, is 5200 miles.

4. Express each percent as a decimal number and
as a fraction.
a) Kyle scored 95.5% on his last test.
b) The store's sales increased by 140%.
c) By getting a car tuned up, you can reduce its
emissions by 0.9%.

Answers

A) 0.955 and 199/200
B) 1.40 or 1.4 and 1 2/5
C) 0.90 or 0.9 and 9/10
.96 rounded off
1.40
1/96. 1/140

2
Find the are of the following circle with radius 2xy?
Area of a circle is A=r
2
=

Answers

Answer:

2πxy^2 unit^2

Step-by-step explanation:

area of circle=πr^2

=π×2xy^2

=2πxy^2

PLEASE HELP
last choice: Olga did not make a mistake

Answers

Answer:

Step 3

Step-by-step explanation:

They divided, they should have multiplied

helppppppppppppppppppppp

Answers

Answer:

Perimeter =28 units.

Area = 45 unit^2.

Step-by-step explanation:

The length of  first side (joining first 2 points) = 5 - (-4) = 9  (as y coordinates are both -5)

The line joining the 2nd and third points = 0 - (-5) = 5

The line joining the 3rd and 4th points = 5 - (-4) = 9.

The line joining the first  and 4th points = 0 - (-5) = 5

So the perimeter = 2(5) + 2(9)

= 28 units.

Area =  5*9 = 45 unit^2.

Answer:

See below ~

Step-by-step explanation:

Finding Area

Area = Length x BreadthArea = (5 - (-4)) x (0 - (-5))Area = 9 x 5Area = 45 square units

Finding Perimeter

Perimeter = 2(Length) + 2(Breadth)Perimeter = 2(Length + Breadth)Perimeter = 2(9 + 5)Perimeter = 2(14) = 28 units

Mia plans to build a fence to divide her rectangular garden into two triangular areas. use the diagram to find the length of fence she will need to divide the garden. round up to the nearest hundredth. mia will need a fence that is meters long.

Answers

Answer:

Mia will need a fence that is 9.22 meters long.

Step-by-step explanation:

Answer:

If the square root is not a perfect square, then an approximation of the root often makes more sense in the context of the problem. For real-world problems, you would want an approximation, so you have an estimate of the length you are looking at.

Step-by-step explanation:

edg 2022

What percent of the buildings are no taller than 345 meters?

Answers

Answer:

the answer is 75%

each dot represents 25% of the data

Below 345 meters are 3 points

so, 3 * 25% = 75%

Three times the sum of a number, y, and 5 is at most 36.

Answers

Answer:

7

Step-by-step explanation:

3(y+5)=36

divide both sides by 3

y+5=12

minus 5

y=7

Three times the sum of a number y, and 5 is at most 36 is equivalent to  y = 7

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given that three times the sum of a number y, and 5 is at most 36.

⇒ 3(y+5)=36

Divide both sides by 3

⇒ y + 5 = 12

Subtract by 5 in the equation

⇒ y = 7

Hence, three times the sum of a number y, and 5 is at most 36 is equivalent to  y = 7

Learn more about Arithmetic operations here:

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According to the line plot, what is the total weight gained by the dogs that gained 1/8 f a pound or 3/4 of a pound?
A. 2 1/2 pounds
B. 3 1/2 pounds
C. 5 pounds
D. 3 1/8 pounds

Answers

According to the line plot, the total weight gained by the dogs that gained ¹/₈ of a pound or ³/₄ of a pound is C. 5 pounds.

What is a line plot?

A line plot is a graph that uses check marks above a number line, to show the frequency of each value.

In this line plot, the addition of the weights gained by dogs that gained ¹/₈ of a pound or ³/₄ of a pound shows the total.

The quantity of weight in pounds gained by the dogs that gained ¹/₈ of a pound = 1

The quantity of weight in pounds gained by the dogs that gained ¹/₄ of a pound = 2

The quantity of weight in pounds gained by the dogs that gained ³/₈ of a pound = 2

The quantity of weight in pounds gained by the dogs that gained ¹/₂ of a pound = 3

The quantity of weight in pounds gained by the dogs that gained ³/₄ of a pound = 4

Thus, based on the line plot, the total weight gained by the dogs that gained ¹/₈ of a pound or ³/₄ of a pound = 5 (1 + 4)

Learn more about line plots at https://brainly.com/question/30143735.

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Help please with trigonometry hw please

Answers

In trig SIN is y/1 or r and TAN is Y/X so if SIN (y/1) is 0.8, tan would have to be 0.8/x. If an X is given you can solve

A little more help???

Answers

Answer:

12.7

Step-by-step explanation:

9^2+9^2=162

square root of 162 equals roughly 12.7

Use the pythagorean theorem

A $55 shirt is on sale for 35% off what is the sale price?

Answers

Answer:

$35.75

Step-by-step explanation:

35%=35/100

35/100x55=19.25

55-19.25=35.75

doing a practice test, what is -7/2-(5/8+1/4) ?

Answers

Answer:

4.375

Step-by-step explanation:

Answer:

-4.375

Step-by-step explanation:

7/2=3.5

1/4=0.25

5/8=0.625

5/8+1/4=0.875

-7/2-(5/8+1/4)= -4.375

How to solve 12 1/2 x 4 in area model?

Answers

Hey there!

12 1/2 * 4

= 12 1/2 * 4/1

= 12 * 2 + 1 / 2 * 4/1

= 24 + 1 / 2 * 4/1

= 25/2 * 4/1

= 25(4) / 2(1)

= 100 / 2

= 100 ÷ 2 / 2 ÷ 2

= 50 / 1

= 50

EASIER UNDERSTANDING….

= 25 + 25 + 25 + 25 / 2 + 0

= 50 + 50 / 2 + 0

= 100 / 2

= 100 ÷ 2

= 50


Therefore, your answer is: 50


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Can you help my sister with fractions while I'm studying. I need to review on my exams

Answers

Answer:

4 + [tex]\frac{1}{2}[/tex] = 4 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

We have 4 whole circles and half a circle so 4 + [tex]\frac{1}{2}[/tex] = 4 [tex]\frac{1}{2}[/tex]

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