5x-2=8+5y solve for y

Answer:

Ruby is 11. Tanya is 14.

Step-by-step explanation:

Let Ruby's age eight years ago be x.

Tanya's age eight years ago = 2x.

Ruby's age now = x + 8

Tanya's age now = 2x + 8

Total age = [tex]x+8+2x+8=25[/tex]

[tex]3x+16=25[/tex]

Subtract 16 from both sides:

[tex]3x+16-16=25-16[/tex]

[tex]3x=9[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3} =\frac{9}{3}[/tex]

[tex]x=3[/tex]

Ruby's age now [tex]=x+8=3+8=11[/tex]

Tanya's age now [tex]=2x+8=2(3)+8=6+8=14[/tex]

Answer:

Tanya is 14; Ruby is 11.

Step-by-step explanation:

Let T represent Tanya's current age and let R represent Ruby's current age.

We know that their ages add up to 25. So:

[tex]T+R=25[/tex]

8 years ago, Tanya was twice as old as Ruby. In other words, Tanya's current age minus 8 is the same as Ruby's current age minus 8 times 2. So:  

[tex]T-8=2(R-8)[/tex]

We have a system of equations. We can solve by substitution. From the first equation, subtract R from both sides:

[tex]T=25-R[/tex]

Substitute this into the second equation:

[tex](25-R)-8=2(R-8)[/tex]

On the left, subtract. On the right, distribute:

[tex]17-R=2R-16[/tex]

Add 16 to both sides. The right side cancels:

[tex]33-R=2R[/tex]

Add R to both sides. The left cancels:

[tex]33=3R[/tex]

Divide both sides by 3:

[tex]R=11[/tex]

So, Ruby is currently 11 years old.

So, Tanya is currently 25-11 or 14 years old.

Check:

8 years ago, Ruby was 11-8 or 3 years old.

8 years ago, Tanya is 14-8 or 6 years old.

Tanya's age of 6 is 2 times Ruby's age of 3 so our answer is correct.

Answer:

(-4, -0.5)

Step-by-step explanation:

According to the graph ,

[tex](-5 , -4) =(x_1,y_1)\\(-3 , 3)=(x_2,y_2)[/tex]

Sorry for the bad handwriting

Workings are in the picture

Answer:

Rotation

Step-by-step explanation:

If you were to translate it, it wouldn't match up because it needs to be turned around. translation just involves moving the shape without rotating it. a dilation means that you're changing the size, and you're not supposed to do that for this problem. a reflection means that if you were to fold in between these two shapes, they would match up. They Don't in this case so that won't work. A rotation is the only way to get it so that all of the areas match up.

Answer:

b

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

[tex]BD = 19[/tex]

Step-by-step explanation:

Given

[tex]CD = 2x[/tex]

[tex]BD = 3x + 4[/tex]

[tex]BC = 2x -1[/tex]

Required

Find BD

Since C is on BD, we have:

[tex]BD = BC + CD[/tex]

Substitute values for BD, BC and Cd

[tex]3x + 4 = 2x - 1 + 2x[/tex]

Collect Like Terms

[tex]3x - 2x - 2x = -1 - 4[/tex]

[tex]-x = -5[/tex]

Multiply through by -1

[tex]x = 5[/tex]

Substitute 5 for x in [tex]BD = 3x + 4[/tex]

[tex]BD = 3 * 5 + 4[/tex]

[tex]BD = 19[/tex]

Answer:

2) twice the momentum

Step-by-step explanation:

p=mv

momentum had a directly proportional relationship to mass, what this means is that if you somehow increase the mass of the object twice the momentum will also increase twice, if the mass decreases by 5 times the momentum will also decrease by 5 times. Therefore, since the 10 kg object is twice the mass of the 5 kg object, so is its momentum relative to the 5 kg object. (5×2=10) 2p=2m

Answer: -2

Explanation 》》》》》》》》》》

4×(2×2+2×-2)-2

=4×(4-4) -2

=4×0 -2

= -2

Answer:

a) 67.8m

b) 36.8m

(both answers rounded off to 3 s.f.)

Step-by-step explanation:

Please see the attached pictures for full solution.

*Instead of rewriting PF to QF +43 in part (a), you could also leave PF as it is and rewrite QF as PF -43 after the line I labelled as equation 2. The working would be about the same, just that you would not need to add 43 again in picture 3 because we would be working with PF. (PF would be factorised out instead)

Answer:

12.5 pulgadas

Step-by-step explanation:

31,75 cm * (1 pulgada)/(2,54 cm) = 12.5 pulgadas

Answer:

352 lbs is correct

Step-by-step explanation:

They did estimate correctly. for how to do this look below:

So we have a elephant that gains 22 pounds every week and they estimated that at 16 week she would be at 352 lbs

22 which was current pounds at the time and she would keep gaining that every week for 16 weeks

So weight times weeks

22*16

22*16= 352

Hope this helps!

Any conditional is of the form "if hypothesis, then conclusion"

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

13.

Hypothesis = The ball is red

Conclusion = It (the ball) will bounce higher

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

14.

Hypothesis = A plane contains two lines

Conclusion = They (the two lines) are coplanar

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

15.

Hypothesis = The light does not come on

Conclusion = The circuit is broken

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

16.

Hypothesis = It is cold outside

Conclusion = You must wear your jacket

It might help to rewrite the original sentence as "If it is cold outside, then you must wear your jacket" to have it match up with the "if P, then Q" format (P and Q are the hypothesis and conclusion in that order).

The Hypothesis and Conclusion of each statement are;

13. Hypothesis = The ball is red

Conclusion = It (the ball) will bounce higher

14. Hypothesis = A plane contains two lines

Conclusion = They (the two lines) are coplanar

15. Hypothesis = The light does not come on

Conclusion = The circuit is broken

16.Hypothesis = It is cold outside

Conclusion = You must wear your jacket

What is The Hypothesis and Conclusion?

The conclusion is “then,” part of a conditional statement.

The hypothesis is the “if,” part of a conditional statement

Now,

To find the hypothesis and conclusion of each statement we can change any conditional is of the form "if hypothesis, then conclusion"

The first statement is;

13.  If the ball is red, then it will bounce higher.

In form of the hypothesis and conclusion written as;

⇒ Hypothesis = The ball is red

Conclusion = It (the ball) will bounce higher

And, The second statement is;

14. If a plane contains two lines, then they are coplanar.

In form of the hypothesis and conclusion written as;

⇒ Hypothesis = A plane contains two lines

Conclusion = They (the two lines) are coplanar.

And, Third statement is;

15. If the light does not come on, then the circuit is broken.

In form of the hypothesis and conclusion written as;

⇒ Hypothesis = The light does not come on

Conclusion = The circuit is broken.

And, Fourth statement is;

16. You must wear your jacket if it is cold outside.

In form of the hypothesis and conclusion written as;

⇒ Hypothesis = It is cold outside

Conclusion = You must wear your jacket

Learn more about the hypothesis and conclusion visit:

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We need to find the area of the hallway. To find the area of a rectangle, simply multiply the length and width together.

6ft * 18ft = 108^ft

Now, let's find the area of the square tiles. To find the area of a square, simply square one side.

(2/3ft)^2 = 4/9ft^2

To find out how many square tiles are necessary to tile the hallway, lets divide the area of the hallway by the area of one square.

108ft^2 / (4/9ft^2) = 243 tiles

Answer:

Exact Form:

[tex]7^{35}[/tex]

Decimal Form:

3.78818692 x [tex]10^{29}[/tex]

I hope this helped! :) If this is correct please give me brainliest!

Since angle COB is the central angle of arc CB, the measure of arc CB = 80 degrees

Answer:

16

Step-by-step explanation:

adding any two sides of a triangle is allways greater than the third side.

Answer:

A) 3²·3³

E) 3^4·3^1

Step-by-step explanation:

When multiplying numbers with exponents, keep the base the same and add the exponents.

So A and E would equal 3 to the fifth power.

Answer:

A & D

Step-by-step explanation:

3^5 = 243

The only other equations that also equal 243 are A & D.

You can also break the exponent up.

(Ex: The exponent is 5. You can split it by having 1 & 4 or 2 & 3)

(Ex continued: The number 3 must be the base number though.)

Answer:

y = 1/7

Step-by-step explanation:

The value of x is 25 then y is 7.

In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.

Given:

y ∝ 1 √ x

and, y= 5 when x= 49

So, the relation will be

y ∝ 1/√x  

y = k/√x

So, 5 =  k/√49

5 = k /7

k = 35

Now, k = y/ √x

35 = y √25

35 = 5y

y = 7

Hence, when x is 25 then y is 7.

Learn more about Proportionality here:

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Answer:

A. ( 2 , 0 )

Step-by-step explanation:

[tex]5x - 8y = 1[/tex]

Let y = 0

[tex]5x-8(0) =10[/tex]

Multiply ; 8×0=0

[tex]5x-0=10[/tex]

Collect like terms and simplify

[tex]5x =10+0\\\\5x =10[/tex]

Divide both sides of the equation by 5

[tex]\frac{5x}{5}= \frac{10}{5}[/tex]

Simplify

[tex]x =2\\\\(2,0)[/tex]

Answer:

Yes the answer is A. I just did this.

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

 g(x) = 1/2 | x+2| -3

y = Cf(x)   0 < C < 1 compresses it in the y-direction

y = f(x + C)      C > 0 moves it left

y = f(x) + C C < 0 moves it down

1/2 compression in the y direction moved to the left 2 units and down 3 units

Given: g(x) = 1/2|x + 2| - 3

0 < c < 1 means at the y-axis and makes it smaller

y = cf(x)

1/2 compression

c > 0 means that you move it to the left

y = f(x + c)

2 units to the left

c < 0 means that you move it down

y = f(x) + c

3 units down

Best of Luck!

Answer:

b=15

Step-by-step explanation:

Answer:

What work are you referring to

Answer:

Step-by-step explanation:

Answer:1

Step-by-step explanation:

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

[tex]\sqrt{5-x}=4[/tex]

Square both sides:

[tex](\sqrt{5-x})^2=4^2[/tex]

[tex]5-x=16[/tex]

Subtract 5 from both sides:

[tex]5-x-5=16-5[/tex]

[tex]-x=11[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]

[tex]x=-11[/tex]

Answer:

y=-3x+5

Step-by-step explanation:

In the form of y=mx+b