If 3 varies inversely as x and y=2 when x=25, find x when y=40

Answer:

x = 3 and y = 1

Step-by-step explanation:

Give system of equations are :

8x-9y=15 ...(1)

−x+4y=1 ...(2)

Multiply equation (2) by 8.

−8x+32y=8 ..(3)

Add equation (1) and (3).

8x-9y -8x + 32y = 15+8

23y = 23

y = 1

Put the value of y in equation (2).

−x+4(1)=1

-x = -4+1

x = 3

Hence, the values of x and y are 3 and 1.

Answer: Its C

Step-by-step explanation:

24   +   25   +   26   +   27   +   28   +   29   +   30   +   31   +   32   +   33   +   34   ÷   11 = 29

Answer:

c

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Set 1

sum = (2 × 27) + (2 × 28) + (3 × 29) + (2 × 30) + (1 × 33)

       = 54 + 56 + 87 + 60 + 33 = 290

The count is 10 ( number of dots ), then

mean = [tex]\frac{290}{10}[/tex] = 29

Set 2

sum = (4 × 24) + (4 × 25) + (2 × 27)

       = 96 + 100 + 54 = 250

The count is 10 ( number of dots ), then

mean = [tex]\frac{250}{10}[/tex] = 25

===============================================

Explanation:

To isolate s, we need to undo the division. We'll multiply both sides by 3

14 = s/3

3*14 = 3*(s/3)

42 = s

s = 42

-------

As a check,

14 = s/3

14 = 42/3 .... replace s with 42

14 = 14

We get the same thing on both sides, so this confirms we have the correct value of s.

Answer: 8a

Step-by-step explanation:

Step-by-step explanation:

I can only think of one way to simplify this and it is by taking out the greatest common factor: a². Or by multiplying the two values together so it's only one value.

a²(3*5)

a²(15)

Or...

(3a² * 5a²)

(15a⁴)

(this one is a⁴ because a variable with a power multiplied by a variable with a power only adds the powers together)

3,4,5 is correct

as we know that ,

3² + 4² = 5²

9 + 16 = 5²

25 = 25

hence . 3,4,5 is correct

Answer:

I'm pretty sure it's 3,4,5 but I'm not sure (is it in cm,mm etc?)

Answer:

(profit / cost price) * 100

Answer:

I could be 0.4 100= 40% I think I'm right but if I'm not I'm so sorry

Answer:

The answer is 2

Step-by-step explanation:

The slope of Abha's climb is given by the equation

Slope m = 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be A

Now , let the point be P ( x , y )

And , the equation is given by

The horizontal distance covered by Abha x = 20 yards

The vertical distance covered by Abha y = 40 yards

Now , the slope of the point is given by the equation

Slope m = vertical distance covered by Abha  / horizontal distance covered by Abha

Substituting the values in the equation , we get

Slope m of Abha's climb = y/x

Slope m of Abha's climb = 40 / 20

Slope m of Abha's climb = 2

Therefore , the slope of the line is m = 2

Hence , The slope of Abha's climb is given by the equation Slope m = 2

To learn more about equation of line click :

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Answer:

what the question , so I can help u

Answer:

sure! but which one? i dont see anything

Step-by-step explanation:

Answer:

x= 13 /14

Step-by-step explanation:

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

5x−5

x−2

=

1

3

Step 1: Cross-multiply.

5x−5

x−2

=

1

3

(5x−5)*(3)=1*(x−2)

15x−15=x−2

Step 2: Subtract x from both sides.

15x−15−x=x−2−x

14x−15=−2

Step 3: Add 15 to both sides.

14x−15+15=−2+15

14x=13

Step 4: Divide both sides by 14.

14x

14

=

13

14

x=

13

14

Answer:

Step-by-step explanation:

2x + 4 = 2(x + 2)

[tex]Area = \frac{1}{2}*b*h\\\\=\frac{1}{2}*(2x-1)(2x + 4)\\\\\\= \frac{1}{2}*(2x - 1)*2*(x + 2)\\\\= (2x -1)(x+ 2)[/tex]

= 2x *x + 2x* 2  + x*(-1) + 2*(-1)

= 2x² + 4x - x - 2

= 2x² + 3x - 2

Answer:

x = -6

Step-by-step explanation:

13x = 3(x - 20)              {Use distributive method:a(b+c)=(a*b) + (a*c)

13x = 3*x - 3*20

13x = 3x - 60            {Subtract '3x' from both sides}

13x -3x = -60      

    10x = -60      {Divide both sides by 10}

        x= -60/10

       x = -6

answer for the first one

1) [tex]6 {y}^{2} - 24y[/tex]

[tex] = > 6y(y - 4)[/tex]

2) [tex]6pq - 4q + 6 - 9p[/tex]

[tex] = > (6pq - 4q) + ( - 9p + 6)[/tex]

[tex] = > [2q(3p - 2)] + [- 3( 3p - 2)] [/tex]

[tex] = > 2q(3p - 2) - 3(3p - 2)[/tex]

[tex] = > (3p - 2)(2q - 3)[/tex]

3) [tex] {x}^{2} + 14xy + 49y[/tex]

[tex] = > {x}^{2} + 2 \times x \times 7y + {(7y)}^{2} [/tex]

[tex] = > {(x + 7y)}^{2} [/tex]

[tex] = > (x + 7y)(x + 7y)[/tex]

4) [tex]25 {y}^{2} - 16[/tex]

[tex] = > {(5y)}^{2} - {4}^{2} [/tex]

[tex] = > (5y + 4)(5y - 4)[/tex]

5) [tex]9 {x}^{2} - 30x + 25[/tex]

[tex] = > {(3x)}^{2} - 2 \times 3x \times 5 + {(5)}^{2} [/tex]

[tex] = > {(3x - 5)}^{2} [/tex]

[tex] = > (3x - 5)(3x - 5)[/tex]

6) [tex] {p}^{2} + 2p - 15[/tex]

[tex] = > {p}^{2} + 5p - 3p - 15[/tex]

[tex] = > p(p + 5) - 3(p + 5)[/tex]

[tex] = > (p + 5)(p - 3)[/tex]

7) [tex] {y}^{2} + 8y + 12 = 0[/tex]

[tex] = > {y}^{2} + 2y + 6y + 12[/tex]

[tex] = > y(y + 2) + 6(y + 2)[/tex]

[tex] = > (y + 2)(y + 6)[/tex]

Answer:A

Step-by-step explanation:Yes; the graph passes the vertical line test.

Answer:

a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]( \sqrt{c})^{2}= \sqrt{c}* \sqrt{c}= \sqrt{c*c}= c\\[/tex]

Answer:

Step-by-step explanation:

Volume of the prism is the product of its base area and height

Find base area:

Area of the trapezoid:

Substitute given values and solve for h:

Find area of base

Now

Height of trapezoid base be x

Answer:

50%

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

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

5(−3x−2)−(x−3)=−4(4x+5)+13

Step 1: Simplify both sides of the equation.

5(−3x−2)−(x−3)=−4(4x+5)+13

5(−3x−2)+−1(x−3)=−4(4x+5)+13(Distribute the Negative Sign)

5(−3x−2)+−1x+(−1)(−3)=−4(4x+5)+13

5(−3x−2)+−x+3=−4(4x+5)+13

(5)(−3x)+(5)(−2)+−x+3=(−4)(4x)+(−4)(5)+13(Distribute)

−15x+−10+−x+3=−16x+−20+13

(−15x+−x)+(−10+3)=(−16x)+(−20+13)(Combine Like Terms)

−16x+−7=−16x+−7

−16x−7=−16x−7

Step 2: Add 16x to both sides.

−16x−7+16x=−16x−7+16x

−7=−7

Step 3: Add 7 to both sides.

−7+7=−7+7

0=0

Answer:

1.6

Step-by-step explanation:

Find the number in the tenth place

6

and look one place to the right for the rounding digit

2

. Round up if this number is greater than or equal to

5

and round down if it is less than

5

.

1.6

Answer:

180 pounds

Step-by-step explanation:

In six months Bill's weight will be increased by 60 pounds

10 pounds*6 months=60 pounds

120+60=180

In six months Phil will lose 24 pounds decreasing his weight from 204 to 180

4 pounds*6 months=24 pounds

204-24=180

Answer:

180 lbs

Step-by-step explanation:

204-24= 180

120+60=180

multiply each by 6  

Answer:

x=29

Step-by-step explanation:

We know for a fact that in a square:

- All of its angles have equal measure (90 degrees)

(e.g. Measure of Angle CAT, measure of Angle CST = 90 degrees)

Now that we know the facts, let's try to find x.

Now since we know that all the angles are equivalent to 90 degrees, we can say that Measurement of Angle SCA is 90 degrees. So:

[tex]90=3x+3[/tex]

Next, we'll simply just isolate the x:

[tex]90=3x+3\\90-3=3x+3-3\\87=3x\\\frac{87=3x}{3} \\29 = x[/tex]

Answer:

The first on is -80,

next one is -60

third one 3

last one is -54

Step-by-step explanation:

Answer:

y = 6

may help you i think so

Answer:

no

Step-by-step explanation:

10² + 24² ≠ 28²

Answer:

orange modeling clay . .

Answer:

18+6=24 then 24/4=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=(115cos50+160cos130)=-28.9254

y=(115sin50+160sin130)=210.6622

m^2=x^2+y^2

m=212.64

angle=180+arctan(y/x)

angle=97.82

v=212.64 at 97.82 degrees