The value of x varies directly with y, and when x= 2/3, y=6. Find the value of y when x = 10 1/3

Answers

Answer 1

See the image above for explanation.

All done!

Solved!

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The Value Of X Varies Directly With Y, And When X= 2/3, Y=6. Find The Value Of Y When X = 10 1/3
Answer 2

When x= ([tex]10\frac{1}{3}[/tex]) the value of y is 93.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

when x= 2/3, y=6.

Using constant proportionality

y = kx

k= y/x

k = 6 / (2/3)

k = 6 x 3/2

k = 9

Now, k= y/x

9 = y/ ([tex]10\frac{1}{3}[/tex])

9 = y / (31/ 3)

y = 9 x 31/3

y = 93

Hence, the value of y is 93.

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Related Questions

A company offering short term loans agrees to lend Nick $1,200 . The amount (plus interest) is repayable in one year, and the interest rate is 12% per month. What is the total amount that must be repaid? Give your answer in dollars to the nearest dollar. Do not include commas or the dollar sign in your answer. For example if your answer is $1,234.56 enter 1235 .

Answers

Answer:

The total amount is 1214.4

Step-by-step explanation:

Given

principal p=$1200

interest rate r= 12%= 12/100= 0.12

time t= 1

n= 12

we know that the compound interest formula is

A=p(1+r/n )^nt

A=1200(1+0.12/12)^1*12

A=1200(1+0.01)^12

A=1200(1.001)^12

A=1200*1.012

A=1214.

Answer:

Correct answers:

$2928$

Step-by-step explanation:

$2928$

We express the interest r in decimal form, so we have r=12%=12100=0.12. The principal is P0=$1,200, so the interest is I=P0⋅r⋅t=$1,200⋅0.12⋅12=$1,728. The interest paid is $1,728, so the total amount repayable is $1,200+$1,728=$2,928.

Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+5=2(x+1)

Answers

Answer:

-2x + y = -3

Step-by-step explanation:

First, distribute the right side:

y+5 = 2x+2

Then, subtract both sides by 2x:

-2x + y + 5 = 2

Lastly, subtract both sides by 5:

-2x + y = -3

Hope this helped. If it did, please consider giving brainliest? :)

BRAINLIEST PLEASE HELP DUE IN 1 HR AND 30 MIN (22-45)

Answers

Step-by-step explanation:

Okay, don't panic. Use M-a-t-h-w-a-y. It's online and it can help with all of these problems. <3 I currently have my own OVERDUE math test to do, so I would do this all but I'm time-tight too! aha



Please help I don’t know how to write it so I did pictures instead.

Answers

Answer:

Strawberry- 6  12  18

Banana -      1    2   3

Hope this helps :)

Step-by-step explanation:

0.8,2/3,0.67,70% in order

Answers

Answer:

Step-by-step explanation:

1. 2/3

2. 0.67

3. 70%

4. 0.8

Victoria filled up her car with gas before embarking on a road trip across the country. The car uses 1.75 gallons of gas for every hour driven, and after driving for 4 hours, there were 7 gallons of gas left in the tank. Write an equation for G,G, in terms of t,t, representing the number of gallons of gas remaining in Victoria's gas tank after tt hours of driving.

Answers

Answer:

G = 14 - 1.75(t)

Where G is the number of gallons of gas remaining;

14 represents the amount of gas in gallons in the full gas tank of the vehicle

t is the number of hours

Step-by-step explanation:

Here, we want to write an equation.

We are told that the car uses 1.75 gallons of gas every hour and after 4 hours 7 gallons were left

In the 4 hours, the amount of fuel used will be 1.75 * 4 = 7 gallons

So therefore since we have 7 gallons left, the amount of gallons in the full tank of the vehicle will be 7 + 7 = 14 gallons

Hence, the equation we want to write will be;

G = 14 - 1.75(t)

Jamie wants to purchase some books and plans for the library period the plants each cost $14 and each book cost $9.
Jamie can spend no more than $38. let b represent the number books purchased and p represent the number of plants purchased.
which inequality represents the situation?​

Answers

Answer:

38 ≥ 14p + 9b

Step-by-step explanation:

Answer:

83≤14p+9b

Step-by-step explanation:

Yuri read 17 books.
Hiro read 5 books.
How many more books did Yuri read than Hiro?
books
help pls quick

Answers

Answer:

Yuri read 12  more books than Hiro.

Step-by-step explanation:

17-5=12

5. Use the two given points and calculate the slope.
(3, 4), (5,9)

Answers

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

For this situation we have the equation [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], where each variable represents a coordinate (e.g. in this case 4 could be [tex]y_{1}[/tex]). So first, let's define which coordinates will be the values of these variables:

(3,4): [tex]x_{1}, y_{1}[/tex]

(5,9): [tex]x_{2}, y_{2}[/tex]

Now we need to replace each variable with its given value: [tex]m = \frac{9-4}{5-3}[/tex]

And then do the subtraction to simplify: [tex]m=\frac{5}{2}[/tex]

Therefore, the slope of the line that passes through the points (3,4) and (5,9) is [tex]\frac{5}{2}[/tex].

The answer is 5/2. Cause of the slopes points so it would be 5/2.

round 21.095 (Nearest whole number)​

Answers

Your answer is will be 23

True or False?
If, |al = |b|, then either a = b or a = - b

Answers

Answer:

true

Step-by-step explanation:

y(x + x - y) ; when x = 5 and y = 3

Answers

Answer:

39

Step-by-step explanation:

3(5+5-3)

15+15+9

30+9

39

Answer:

your answer would be 21 hope i helped:)

Step-by-step explanation:

Tim bought some avocados that were $0.72 each. The total cost of the
avocados was $5.76. How many avocados did he buy? (just put the
number)

Answers

Answer:

8

Step-by-step explanation:

He buy 8 avocados. There you go

a rectangular tank is 76cm long, 50cm wide and 40cm high, how many litres of water can it hold?​

Answers

Answer:

Volume of a cuboid or rectangular tank = side × side × side

or

volume of a cuboid or rectangular tank = length× width × height

volume of the rectangular tank = 76 × 50 × 40

volume of the rectangular tank = 152000cm³

Therefore the rectangular tank can hold 152000cm³ litres of water

No. 5, Given BCM=ZYR, find each missing measure. Will mark brainliest!

Answers

Answer:

Step-by-step explanation:

Since, ΔBCM ≅ ΔZYR,

∠B ≅ ∠Z

∠C ≅ ∠Y

∠M ≅ ∠R

And BC ≅ ZY

CM ≅ YR

BM ≅ ZR

a). CM = YR = 11 m

b). BM = RZ = 15 m

c). YZ = BC = 8 m

d). m∠B = m∠Z = 45°

e). m∠M = 180° - [m(∠B) + m(∠C)]

              = 180° - (45 + 103)°

              = 180° - 148°

              = 32°

f). m∠Y = m∠C = 103°

Congruent triangles have equal corresponding sides and angles

The measure of the side lengths are:[tex]YZ =8[/tex], [tex]BM =15[/tex] and [tex]CM = 11[/tex]The measure of the angles are [tex]\angle B =45[/tex], [tex]\angle Y =103[/tex] and [tex]\angle M = 32[/tex]

The given parameter is:

[tex]\triangle BCM \cong \triangle ZYR[/tex]

This means that triangle BCM and ZYR are congruent.

So, we have the following congruent sides

[tex]YZ =CB[/tex]

[tex]BM =ZR[/tex]

[tex]CM =YR[/tex]

So, the measure of the side lengths are:

[tex]YZ =8[/tex]

[tex]BM =15[/tex]

[tex]CM = 11[/tex]

Also, we have the following congruent angles

[tex]\angle B = \angle Z[/tex]

[tex]\angle C = \angle Y[/tex]

[tex]\angle M = \angle R[/tex]

So, the measure of the angles are

[tex]\angle B =45[/tex]

[tex]\angle Y =103[/tex]

The measure of angle M is calculated using:

[tex]\angle M + \angle C + \angle B = 180[/tex]

So, we have:

[tex]\angle M + 103 + 45= 180[/tex]

[tex]\angle M + 148= 180[/tex]

Subtract 148 from both sides

[tex]\angle M = 32[/tex]

Read more about congruent triangles at:

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g(x) = 2 log(x - 1)
what is the inverse

Answers

Answer:

[tex]g^{-1}(x)=1+10^{x/2}[/tex]

Step-by-step explanation:

Inverse Function

Let's call:

[tex]y=2 log(x-1)[/tex]

Divide by 2:

[tex]y/2=log(x-1)[/tex]

Assuming the base of the log is 10, apply exponential base 10:

[tex]10^{y/2}=x-1[/tex]

Solving for x:

[tex]x=1+10^{y/2}[/tex]

Swap variables:

[tex]y=1+10^{x/2}[/tex]

Calling this function the inverse:

[tex]\boxed{g^{-1}(x)=1+10^{x/2}}[/tex]

Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
3x - y = 7
2x - 2y = 2
A. (2,-2)
B. (2,2)
C. (3,-1)
D. (3,2)

Answers

3x - y = 7
-> y = 3x - 7
2x - 2y = 2
Use the substitution method
2x - 2 ( 3x - 7 )=2
2x - 6x + 14 =2
-4x = 2-14
X = -12/-4
X = 3
Sub x = 3 into the eq y= 3x - 7
Y= 3*3-7
Y = 2 so the answer is D

please I need help is for today
Begin to formulate statistical questions based on your Food Habits data ( my food are takis and Hershey's chocolate chips)
1 simple (one-variable)
2 complex (two or more variables)
it would be 3 questions in total

Answers

1-What is the recommended serving for the Hershey’s chocolate chips
2- compare the 2 foods in terms of calories and fat and which is the “healthier” option

Answer:

I honestly don't know?????? but I know some but I can't see the word clearly???!

How are the characters developed in the passage? 1. Through their actions 2. Through dialogue 3. Through description 4.through flashback (History)

Answers

Answer:

1

Step-by-step explanation:

Characters are developed in the passage through their actions. Therefore, option A is correct.

What are the characters in a passage?

Characters are the people, animals, or entities portrayed in a literary work such as a passage, story, or novel. They are often the main focus of the narrative and drive the plot forward.

A character can be developed through various literary techniques such as actions. Their traits, motivations, and relationships with other characters help to create a deeper understanding of the story and its themes.

Well-developed characters often feel like real people, with complex personalities, histories, and emotions, which helps to engage the reader and create a sense of empathy or connection. Therefore, option A is correct.

Learn more about characters, here:

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please help me, I cant faill!!!

Answers

Answer:

x2

Step-by-step explanation:

you multiply 1x2 to get 2 and multiple 3x2 to get 6

pls mark brainly :)) hope you have a good day

If f(x) = 5x, what is f^-1(x)?

PLEASE HELP!!

Answers

Answer:

Option 3

Step-by-step explanation:

to get inverse function, swap x and y first:

f(x)=5x : y=5x --> x=5y

solve for y: y=1/5 x

use inverse notation: f^-1(x)=1/5 x

-5 > -6x + 6 or -2x > 4: I swear I am not dumb I’m just half asleep and forgot to do online work and have some problems that’s all:)

Answers

Answer:

X < -2 or x > [tex]\frac{11}{6}[/tex]

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

Which of the following lists the numbers in asending order: -3/8, -0.32, -2/7, -0.3​

Answers

Answer:

its -3/8

Step-by-step explanation:

-3/8 < -0.32 < -0.3 < -2/7

Solve for x using the
distributive property.
9(5 - x) = 81
x = [?]

Answers

Answer:

[tex]\boxed {x = -4}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]9(5 - x) = 81[/tex]

-Use Distributive Property:

[tex]9(5 - x) = 81[/tex]

[tex]45 - 9x = 81[/tex]

-Subtract [tex]45[/tex] to both sides:

[tex]45 - 45 - 9x = 81 - 45[/tex]

[tex]-9x = 36[/tex]

-Divide both sides by:

[tex]\frac{-9x}{-9} = \frac{36}{-9}[/tex]

[tex]\boxed {x = -4}[/tex]

So, the value of [tex]x[/tex] is [tex]-4[/tex].

Is 4 a solution to the compound inequality x>0 and x<7

Answers

Answer:

Yes

Step-by-step explanation:

since this inequality can be represented by 0<x<7. And by absolute value form

|2x-7|< 7. As you can see 4 is greater than zero and less than 7.

-7g-12=-9g-28
Whats g

Answers

Answer:

g=-8

Step-by-step explanation:

please help i need it quickly i only have 5 minutes left. ill give brainliest.

Answers

Answer:

A

B

C

Step-by-step explanation:

A

11=4(7)-17

11=28-17

11=11

B

-13=4(1)-17

-13=4-17

-13=-13

C

-1=4(4)-17

-1=16-17

-1=-1

-6 = 3/8x - 2 + 1/8x
Answers:
x = -16
x = 8
x = -8
x = -4

Answers

Answer:

x = -8

Step-by-step explanation:

Hope This Helps!

Plz mark Brainliest

Answer:

x=−8

Step-by-step explanation:

Let's solve your equation step-by-step.

−6=3/8x−2+

1/8x

Step 1: Simplify both sides of the equation.

−6=3/8x−2+1/8x

−6=3/8x+−2+1/8x

−6=(3/8x+1/8x)+(−2)

(Combine Like Terms)

−6=1/2x+−2

−6=1/2x−2

Step 2: Flip the equation.

1/2x−2=−6

Step 3: Add 2 to both sides.

1/2x−2+2=−6+2

1/2x=−4

Step 4: Multiply both sides by 2.

2*(1/2x)=(2)*(−4)

If the diameter of a circle is 50 yards, the radius is

Answers

Answer:

r = 25 yds

Step-by-step explanation:

The diameter is twice the radius, so the radius is 1/2 of the diameter

r = 1/2 d

r = 1/2 ( 50 yds)

r = 25 yds

answer: r=25yd

Hope this helps!

I need help with this problem ASAP

Answers

Answer:

[tex]x^2\sqrt{x+5} -2\sqrt{x+5}[/tex]

Step-by-step explanation:

use foil

[tex]x^2\sqrt{x+5} -2\sqrt{x+5}[/tex]

cannot be simplified any further so it's the answer

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