if y is directly proportional to x and y=5 when x=2, find the value of y when x =7​

Answers

Answer 1

Answer:

y = 17.5

Step-by-step explanation:

y = kx

→ Substitute in the values

5 = 2k

→ Divide both sides by 2 to isolate k

k = 2.5

⇒ y = 2.5x

→ Substitute in x = 7

y = 2.5x ⇔ y = 2.5 × 7 ⇔ y = 17.5


Related Questions

A shop sells DVDs and CDs.

DVDs are sold at one price.
CDs are sold at a different price.

2 DVDs and 1 CD cost £35
2 DVDs and 2 CDs cost £45

Martin has £50 Does he have enough to buy 1 DVD and 3 CDs?

Answers

Answer:

Step-by-step explanation:

Lets Price of a DVD is fixed i.e. 15

and One CD price is 5 (Not fixed)

In First situation

2 DVDs and 1 CD cost = 35 as given

2 x 15 + 5 = 35

Lets one CD price is 7.5

In Second situation

2 x 15 + 2 x 7.5 = 45

Its mean CD price may be between 5 to 7.5

In asked scenario, Martin has 50

1 DVD and 3 CDs?

1 x 15 + 3 x 7.5 = 37.5

37.5 is lesser than 50

Hence Martin has enough to buy 1 DVD and 3 CDs.


Express the following in scientific notation: 0.0000079

Answers

Answer:

7.9 * 10 ^-6

Step-by-step explanation:

Move the decimal 6 places to the left so there is one number before the decimal

0.0000079

7.9

The exponent is -6  ( negative because we moved it to the left)

7.9 * 10 ^-6

Answer:

Hey there!

7.9 × 10-6 is your answer.

Hope this helps :)

yoyoyo pls help with math

Answers

Answer:

C

Step-by-step explanation:

Calculate the ratio of corresponding sides, image to preimage, that is

scale factor = [tex]\frac{DE}{AB}[/tex] = [tex]\frac{14}{35}[/tex] = [tex]\frac{2}{5}[/tex] → C

Josh biked to the park at an average speed of 14 mph. He returned home at an average speed of 10 mph. If Josh spent a total of 2 1/2 hours for the roundtrip, how many total miles did he bike?

Answers

Answer:

Let the distance from home to the park be x

Going to the park

Distance=vt

x=14t¹ ——(1)

Going back home

x=10t² ——(2)

Total time=t¹+t²

2.5=t¹+t²

Solving equ. 1 and 2 simultaneously

10x=140t¹

14x=140t²

Adding

4x=140(t¹+t²)

24x=140(2.5)

x=14.58 miles

Total distance= 2x

= 29.16miles

Step-by-step explanation:

I Need HELP PLEASE ANYONE U GET 5 STARS IF RIGHT ANSWER !

Answers

Answer:

4√(7^5) and (4√7)^5

Step-by-step explanation:

7^5/4

The above can be expressed as follow: Method 1:

7^5/4

(7^5)^1/4

Recall:

(a^m)^1/n = n√(a^m)

Therefore,

(7^5)^1/4 = 4√(7^5)

Method 2:

7^5/4

(7^1/4)^5

Recall:

(a^1/m)^n = (m√a)^n

Therefore,

(7^1/4)^5 = (4√7)^5

From the illustration above, we can see that 7^5/4 can be expressed as 4√(7^5) and (4√7)^5

Why do you think that when subtracting a negative
number, in reality you are adding it? (For example: 1-
(-1) = 1+1=2)​

Answers

Answer:

See explanation

Step-by-step explanation:

When we have a positive number and a negative number, let's imagine it with a number line.

<-----------0----------->

If we have the positive number 1:

<-----------0--1-------->

And we want to subtract 1 from it, the number would move to the left

1 - 1 = 0

<-----------0----------->

However, if we were to subtract a negative number, they are opposites. It can't move to the left because that's what a positive number does. The only other way to go: right.

1 + -1 = 2

<-----------0--1--2----->

Hope this helped!

Between which two integers does square root of /500 lie?

Answers

Answer:

22 and 23

Step-by-step explanation:

Step 1: Solve the square root

[tex] \sqrt{100 \times 5} [/tex]

[tex] \sqrt{ {10}^{2} \times 5 } [/tex]

We can move the 10² out because it matches the index of the root

[tex]10 \sqrt{5} [/tex]

Step 2: Input into calculator to find decimals

[tex]10 \sqrt{5} = 22.36[/tex]

Therefore the square root of 500 lies between 22 and 23

22 and 23

Because 5000 is between 222

(484) and 232 (529), the square root of 500 is in between 22 and 23..

A class has 25 students in it. 4 students drop the class. What is a reasonable estimate for the percentage of students that dropped?

Answers

Answer:

16% drop

Step-by-step explanation:

4/25 drop

Multiply by 4/4

16/100

16% drop

Answer:

16%

Step-by-step explanation:

SInce 4 students left the class, and there are 25 students, let's make it a fraction.

4/25.

As it is asking for a percentage though we could simply convert our fraction to a percentage.

Simply divide the numerator (4) by the denominator (25).

This gives us 0.16.

Which is 16%.

If two polygons are similar, must they also be congruent?

Answers

Answer:

I think No

Explanation:

We say two figures are similar if they have the same shape, but not necessarily the same size. If they also have the same size, we say they are congruent.

[tex]hope \: this \: helps[/tex]

No, if two polygons are similar, it does not necessarily mean that they are congruent.

We have,

Similar polygons have the same shape but can have different sizes. This means that their corresponding angles are equal, and the ratios of their corresponding side lengths are equal.

However, the lengths of the sides themselves may be different.

On the other hand, congruent polygons have both the same shape and the same size.

This means that all corresponding angles and side lengths are equal.

So, while all congruent polygons are similar, not all similar polygons are congruent.

Similar polygons can be scaled versions of each other, but they can have different sizes.

Thus,

No, if two polygons are similar, it does not necessarily mean that they are congruent.

Learn mroe about polygons here:

https://brainly.com/question/17756657

#SPJ4

Please help me on this question

Answers

Answer:

you need to add 11 red circles

Step-by-step explanation:

1:3     one red and three blues

r=12   b=3

r:b  =12:3

12:3 is the same as 4:1

you have to add 11 red circles

-K2 – (4k - 6n) + 9n; k = - 1 and n= - 4
For k= - 1 and n= -4, -K2 - (4k - 6n) + 9n =
(Simplify your answer.)

Answers

Answer:

The simplified answer of the given equation is -57.

Step-by-step explanation:

For this problem, we are given values for our variables.

k = -1

n = -4

So, let's plug these numbers into our expression so we can easily solve it.

-(-1)² - (4(-1) - 6(-4)) + 9(-4)

Simplify your parentheses.

-(-1)² - (-4 + 24) - 36

-(-1)² - 20 - 36

Now, simplify your exponents.

-1 - 20 - 36

Combine -1 and -20.

-21 - 36

Now, subtract -21 from 36.

-57

Answer:

-18

)())()()()()()()( ;)

How would you write The difference of 9 and the square of a number

Answers

Answer:

9 - n^2

Step-by-step explanation:

Answer: 9-x^2

Step-by-step explanation:

no work needed

choose the true statement.

-2 < -3
-2 > -3
-2 = -3

Answers

Answer:

-2> -3

Step-by-step explanation:

when in the minuses, the lower the number, the bigger it really is!

Answer:

-2> -3

Step-by-step explanation:

HOPE THIS HELPS HAVE A GREAT DAY :) :} :) :}

Plz help: Round the numbers to estimate the quotient. 29 and one-fifth divided by 4 and StartFraction 6 over 7 EndFraction Which numbers should be used? ÷ The estimated quotient is...

Answers

Answer:

29 divided by 5

quotient is 5 4/5

Step-by-step explanation:

I just took that test from school

Answer: 29 divided by 5. 5 4/5

Step-by-step explanation:

I have proof plz mark me brainliest

Find the value of x. A. -7 B. does not exist C. 35 D. 26

Answers

Answer:

C. 35

Step-by-step explanation:

x^2 + 12^2 = (x + 2)^2

x^2 + 144 = x^2 + 4x + 4

144 = 4x + 4

4x = 140

x = 35

Answer:

C

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem (a² + b² = c², in this case a = x, b = 12 and c = x + 2) to solve for x.

x² + 12² = (x + 2)²

x² + 144 = x² + 4x + 4

144 = 4x + 4

140 = 4x

x = 35

Determine if the event described is independent or dependent. Two people are standing in line at a movie theater trying to decide on which movies to see. a independent b dependent c neither d both

Answers

Answer:

c as in neither.

Step-by-step explanation:

the question does not give enough info because there are not two variables to be dependant on

2 pts Question 1 Write an expression to model the phrase: Myles has $635 and is earning $120 each week as a lifeguard. (Use x as your variable) 2 pts Wuestion 2​

Answers

Answer:

The equation is y= 120x+ 635

Step-by-step explanation:

Hey there!!!,

in this problem we are expected to present an equation for the given scenario, and a way out is to model it after the equation of line

i.e y= mx+c

From the problem statement we can see that the constant amount Myles have is $635, and also earnings of $120 weekly.

Comparing the statement withe equation of line we have

  y= 120x+ 635

as "x" is the number of weeks worked and $635 is the constant amount at hand.

Should you need further clarification on this, let me know

can u explain and answer this question for me thanks

Answers

Answer:

f(x)= x-6

g(x)= x^1/2 (x+3) =√x(x+3) = x √x + 3√x

g(x) × f(x)

=(x√x + 3√x) (x-6)

= x²√x -6x√x + 3x√x - 18√x

= x²√x -3x√x - 18 √x

= x^5/2 - 3x^3/2 - 18^1/2

= √x^5 - 3√x^3 - √18 (B)

Note:

√x = x^1/2

x √x = x^1 × √x= x^1+1/2= x^3/2

x²√x= x^2 × x^1/2 = x^2+1/2 = x^ 5/2

I hope this helps

if u have question let me know in comments ^_^

15=3y+7.y= please help me with my assignment i havelike 57 more questions to answer and 10% im trying by myself to solve the rest are kinda difficult

Answers

Answer:

8/3  or 2.67 to nearest hundredth.

Step-by-step explanation:

15 = 3y + 7

15 - 7 = 3y

3y = 8

y = 8/3

2 hours 40 minutes +11 hours 40 minutes​

Answers

14hrs 20mins

This is the answer, and I hope this helps you dear friend ※

Answer:

14 hours 20 minutes

Step-by-step explanation:

→ Convert 2 hours and 40 minutes into minutes

2 hours + 40 minutes ⇒ 2 hours = 120 minutes + 40 minutes ⇒ 120 + 40 ⇒ 160 minutes

→ Convert 11 hours and 40 minutes into minutes

11 hours + 40 minutes ⇒ 11 hours = 660 minutes + 40 minutes ⇒ 660 + 40 ⇒ 700 minutes

→ Add the total minutes together

700 minutes + 160 minutes = 860 minutes

→ Convert 860 minutes into hours

860 minutes = 14 hours + 20 minutes

Given: ABCD is a parallelogram.Prove: m∠A + m∠B + m∠C + m∠D = 360˚By the definition of a parallelogram, AD∥BC and AB∥DC. Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . By the definition of supplementary, m∠A + m∠D = 180. Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. By the definition of supplementary, m∠B + m∠C = 180. So, m∠A + m∠D + m∠B + m∠C = 180 + 180 by the property. Simplifying, we have m∠A + m∠B + m∠C + m∠D = 360˚.1) D2) Supplementary3) BC4) Addition

Answers

Answer:- D

- Supplementary

- BC

- Addition

Step-by-step explanation:

Where is the answer to the expression 3 − 6 located on a horizontal number line?

Answers

Answer:

6 units to the left of 3

I did the test

The sum of the ages of Noi's and Noy's is 26 years. The different between four times Noi's age and two times Noy's age is 28 years. Find the age of Noi and Noy.

WRITE AS AN EQUATION​

Answers

Answer:

The age of Noi is 13.333 Years and the age of Noy is 12.67 years

Step-by-step explanation:

The given  information are;

The sum of the ages of Noi and Noy = 26 years

Four times Noi's age - Two times Noy's age = 28

Let the age of Noi = X and let the age of Noy = Y

We have;

X + Y = 26 years.................(1)

4X - 2Y = 28 years.............(2)

Divide equation (2) by 2 to get;

(4X - 2Y)/2 = (28 years)/2 which gives;

2X - Y = 14 years.................(3)

Add equation (3) to equation (1), to get;

X + Y +  2X - Y = 26 years + 14  years

3X = 40 years

X = 40/3 = 13.333 Years

From equation (1), X + Y = 26 years, therefore;

Y = 26 - X = 26 - 13.33 = 12.67 years

Therefore, the age of Noi = 13.333 Years and the age of Noy = 12.67 years.

A group of 22 students participated in a math competition

Answers

What is the question now??

Find the distance of (2,5) and (-1,3)

Answers

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Use the distance formula:

[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Insert the values:

[tex](2_{x1},5_{y1})\\\\(-1_{x1},3_{y2})\\\\\\sqrt{(-1-2)^2+(3-5)^2}[/tex]

Simplify:

[tex]\sqrt{(-1-2)^2+(3-5)^2}\\\\ \sqrt{(-3)^2+(-2)^2}\\\\ \sqrt{9+4}\\\\\sqrt{13}[/tex]

The distance between the two points is the square root of 13.

:Done

Answer: [tex]\sqrt{13}[/tex] or 3.61

Step-by-step explanation:

[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\sqrt{\left(-1-2\right)^2+\left(3-5\right)^2}[/tex]

[tex]\sqrt{9+4}[/tex]

[tex]=\sqrt{13}[/tex]

what is the length of DI? A 1.4 B 4.4 C 5.6 D 17.6

Answers

[tex]\dfrac{DI}{DR}=\dfrac{DE}{DZ}\\\\\dfrac{DI}{6+2.8}=\dfrac{3}{6}\\\\6DI=26,4\\DI=4,4[/tex]

Find the missing probability. P(A)=1120,P(B|A)=1320,P(A∩B)=?

Answers

Answer: 143/400

Explanation:

Assuming you meant to say

P(A) = 11/20

P(B|A) = 13/20

then,

P(A∩B) = P(A)*P(B|A)

P(A∩B) = (11/20)*(13/20)

P(A∩B) = (11*13)/(20*20)

P(A∩B) = 143/400

THE ANSWER IS 143/400 !

What is the answer that = n?

Answers

Answer:

n = 5

Step-by-step explanation:

To start off, we know that whenever the bases are the same, their exponents are equal to each other. Therefore, since both of the numbers bases are the same (both are z), we know that they will be equal.

The n can be distributed to the [tex]z^2[/tex] so that it now reads to be:

[tex]z^2^n = z^{10}[/tex]

Exponents are equal, so:

2n=10

Divide the 2 on both sides:

n=5

Answer:

n =5

Step-by-step explanation:

z^2^n

We know that a^b^c = a^ (b*c)

z^(2n)

This is equal to z^10

Since the bases are the same, the exponents are the same

2n = 10

Divide by 2

2n/2 = 10/2

n = 5

Evaluate the following expression. −8 × (−10) −7× 1/−1

Answers

Answer:

87

Step-by-step explanation:

[tex]-8\left(-10\right)-7 \times \frac{1}{-1}=87\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=8\times \:10-7\times \frac{1}{-1}\\\\8\times \:10=80\\\\7\times \frac{1}{-1}=-7\\\\=80-\left(-7\right)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=80+7\\\\=87[/tex]

Given that ∆MTW ≅ ∆CAD, which angles are corresponding parts of the congruent triangles? ∠W ≅ ∠C ∠W ≅ ∠D ∠W ≅ ∠A

Answers

Answer:

The Answer would be ∠W ≅ ∠C

Step-by-step explanation:

Only one that is congruent

The measure of the angle ∠TWM is congruent to the measure of the angle ∠ADC. Therefore, the correct option is B.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

A triangle is a three-sided polygon with three edges and three vertices in geometry.

Given that the triangle ∆MTW is congruent to the triangle ∆CAD.

So, we have

∠MTW ≅ ∠CAD

∠WMT ≅ ∠DCA

∠TWM ≅ ∠ADC

If two triangles are equivalent, the ratio of matching sides will stay constant.

The proportion of the point ∠TWM is harmonious with the proportion of the point ∠ADC.

Therefore, at that point, the right choice is B.

Learn more about congruent triangles here:

brainly.com/question/4364353

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