Johnny is now 30% older than his sister Sarah. If Sarah is now 12 years old, how old is Johnny

Answers

Answer 1

Answer:

15.6 years old

Step-by-step explanation:

12 x 1.3 = 15.6


Related Questions

When you have an x value of zero in a point like this one (0,8) where is the point located on the graph? When you have a y value of zero in a point like this ( -3,0) where is the point located on the graph?


plz explain

Answers

Answer:

well I don't have a picture to explain it but (0,8) would be on the y axis and 8 on the x-axis ( it would go up 8 times and stay on the same line)

it would be -3 on the y axis and it wouldn't move up or down (move 3 points to the left)

Step-by-step explanation:

(x,y) when the x is 0 it doesn't move on the x-axis (left or right) and when it is 0 it doesn't move on the y-axis (up or down)

hope that makes sense!

After sales tax, a $310 chandelier costs $341. What is the sales tax percentage?
Write your answer using a percent sign (%).

Answers

The sale’s tax percentage is 10%

Problem: A pole is being held up with a 10 meter rope. The cable is making a 42° of elevation from the ground to
the top of the pole. What is the distance from the base of the pole to the base of the rope ? Round your answer
to the nearest tenth of a meter.

Answers

Answer:

x = 7.4

Step-by-step explanation:

cos(42°) = x/10 or distance from bases / rope length

Using the calculator find the value of cos(42°):

cos(42°) = 0.74 = x/10

Find x using the value of cos(42°):

x/10 = 0.74

x = 7.4

Which of the following points solves the system shown below?
y = 5x -9
y = -2x + 12
Choose from the following...
1) (1, -4) 2) (2,8) 3) (3,6) 4) (-3, 18)

Answers

Answer:

(3,6)

Step-by-step explanation:

Collect like terms

y -5x = -9

y + 2x = 12

Using elimination method

Subtract equation 2 from equation 1

y - 5x = -9

y + 2x = 12

---------------

0. -7x = -21

Divide both sides by -7

-7x = -21

---- -----

-7 -7

x = 3

Substitute x=3 into equation 1

y = 5(3) - 9

y = 15 - 9

y = 6

Solution is (x,y) = (3,6)

Point $Y$ is on a circle and point $P$ lies outside the circle such that $\overline{PY}$ is tangent to the circle. Point $A$ is on the circle such that segment $\overline{PA}$ meets the circle again at point $B$. If $PA = 15$ and $PY = 9$, then what is $AB$? [asy] unitsize(2 cm); pair A, B, P, Y; Y = dir(130); A = dir(20); B = dir(180); P = extension(Y, Y + rotate(90)*(Y), A, B); draw(Circle((0,0),1)); draw(Y--P--A); label("$A$", A, E); label("$B$", B, SW); label("$P$", P, W); label("$Y$", Y, N); [/asy]

Answers

Answer:

48/5

Step-by-step explanation:

By power of a point on P, we have PB * PA = PY^2. Therefore,

PB = PY^2/PA = 9^2/15 = 27/5. Then AB = PA - PB = 15 - 27/5 = 48/5

An arithmetic sequence has a common difference of 5 and the 3rd term is 15. What is the 5th term?

Answers

Step-by-step explanation:

Given,

d=5

a3=15

Now, a3=a+2d

= 15=a+10

= 15-10=a

= 5=a

a5=a+4d

= 5+20

= 25

what is the domain of the function a^x

Answers

Answer:

The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

Step-by-step explanation:

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

Step-by-step explanation:

Identify the input values.

Since there is an even root, exclude any real numbers that result in a negative number in the radicand. ...

The solution(s) are the domain of the function.

Sam has striped and spotted socks in his draw in
the ratio 3:7. He has 6 striped socks.
How many spotted socks does he have?​

Answers

Answer:

14 spotted socks

Step-by-step explanation:

Sam has 3 units of striped socks and 6 of them.

Find one unit.

3 units = 6

1 unit = 6 ÷ 3 = 2

Sam has 7 units of spotted socks.

7 units = 2 x 7 = 14

Graph the image of △UVW after a rotation 270° clockwise around the origin.

Answers

Step-by-step explanation:

step 1. U(-7, 2) -> U'(-2, -7)

step 2. V(-7, 7) -> V'(-7, -7)

step 3. W(-1, 6) -> W'(-6, -1)

-. A scale model of an oil tanker truck can hold 1 gallon of oil. If a trucking company wants the full size-truck to hold 8,000 gallons of oil, what scale factor must they apply to the model.

Answers

Answer: 8,000

Step-by-step explanation:

If the scale model can only hold 1 gallon of oil but the full size truck needs to hold 8,000 gallons, you can find a relevant scale factor using cross multiplication:

1          :         1

x         :       8,000

x = 8,000

They should apply a scale factor of 8,000.

The scale factor that they must apply to the model is 1 is to 8000.

How to calculate scale factor:

A scale factor of a given quality is what is multiplies the quantity to give a total.

The original content of the oil tanker truck is 1 gallon

The new full size truck is to hold 8000 gallons

That is 1 × 8000 of the old oil tanker truck.

Therefore, the scale factor that they must apply to the model is 1 is to 8000.

Learn more about scale factors here:

https://brainly.com/question/10253650

Evaluate the expression, 7x+8(x-3). Assume that x=4.

Answers

Answer:

if x was 4 then the answer would be 36.

Step-by-step explanation:

28+8(4−3)

=28+(8)(1)

=28+8

=36

due in 5 min



help me plss​

Answers

Answer:

What is the question asking for??

Step-by-step explanation:

area of the square=7*10=70cm2

area of the semi circle=πr^2/2

=22/7*5*5/2

. =39.25cm2

total area=39.25+70=109.25cm2

Write an equation for the nth term of the arithmetic sequence
18, 30, 42, 54, 66,
A. an = 30n + 6
B. an = n + 18
C. an = 12n + 6
D. an = 18n + 12

Answers

The arithmetic sequence is increasing in 12 each time

18, 30, 42, 54, 66
12n 12, 24, 36, 48, 60

To get from 12n to the arithmetic sequence, you add 6 each time

Therefore the answer is C - an = 12n + 6

the price of a coke in 1960 was $0.10. it now costs $0.83. find the percent of change.

Answers

73%?
(Not really sure I’ve never worked with percentages)
The answer would be 0.83-0.10=0.73 which is ~73%~

Hope this helps

Have a great day/night

Feel free to ask any questions

3x-4y=16 slope and intercept form

Answers

Answer:

y=3/4x-4

Step-by-step explanation:

The form is y=mx+b so isolate y

-4y=16-3x

y=-16/4-3x/-4

y=3/4x-4

Answer:

y = 3/4x - 4

Step-by-step explanation:

Slope intercept form: y = mx + b

3x - 4y= 16

-4y = 16 - 3x

4y = -16 + 3x

y = -4 + 3/4x

y = 3/4x - 4

Can someone help? Image below.

Answers

Answer:

i dont kniw

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

there is a scale factor of 2

At the World Cup, 25% of the teams are from South American countries. If there are 40 teams in the World Cup, how many are from South American countries? Construct a double number line if needed.

Answers

Answer:

10

Step-by-step explanation:

100% = 40 teams

1% = 40 ÷ 100 = 0.40

25% = 0.40 x 25 = 10

Answer:

10

Step-by-step explanation:

100%/4=25%

40/4=10

You have to divide 100% by 4 because 25 goes into 100 four times.

What ever you do on the bottom or top you to do it top or bottom.

So 40 divide by 4 is 10.

Then you have you answer.

the ratio of distilled water to ammonia is 50/1 . How are the ratios in related to this ratio​

Answers

Let’s say your using pints. For every 50 pints of distilled water there is one pint of ammonia. Equal to 50/1

Help I will be marking brainliest!!!

A. 201.32
B. 37.24
C. 96
D. 126.32

Answers

Answer:

96

Step-by-step explanation:

su=153

ts=57

su-ts=tu

153-57=96

tu=ou

ou=96

Answer:

A

Step-by-step explanation:

Find length of segment > Been so long i did this problem

How I get answer by simplify

SU = 153

Multiply to CO =75

Divide that 57

Which get 201.31 ,But your question round nearest hundredth

201.32

Answer : A

~~~~~~~~~~~~~~~~~~~~~~~

" Problem it said look carefully" Round nearest hundredth

determine whether each statement is true or false. QR > ST
m m m

Answers

Answer:

FALSE

Step-by-step explanation:

QR is NOT greater than ST

The image shows that QR = 9 and ST = 10.

Ten's obvi the bigger number so insted of QR > ST it should be QR < ST.

hope this helps :)

Find x when y = 2 for the following equation: y = 6x + 8
PLS HELP ASAP

Answers

y = 6x + 8

2 = 6x + 8

2-8 = 6x

6x = -6

x = -1

I NEED HELP ASAP ITS SO CONFUSING
Solve the following equation for the value of m.
SHOW UR WORK PLEASE!

Answers

304 = 19m
304/19 = m
16 = m

Answer:

m = 16

Step-by-step explanation:

304 = 19 m      ( / 19)

16 = m

PLEASE HELP ME!!PLEASE HELP ME!!!!!

Answers

Answer:

The actual dimensions would be 3.375 feet by 3.5 feet. The area of the room would be 11.8 square feet.

Step-by-step explanation:

At a school there are six lessons in a day.
In total, the six lessons last for 4 1/2hours.
a) Assume that each lesson lasts the same amount of time.
How many minutes long is the final lesson?

Answers

Answer:

270

Step-by-step explanation:

ahhm 1 hour is equal to 60 minutes and their are 4 hours,,I did 60 × 4 = 240,,then half hour equal to 30 minutes..so 240+30=270

I hope it will help

Final lesson take 270 minutes in a day.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

We have to given that;

At a school there are six lessons in a day.

And, In total, the six lessons last for 4 1/2hours.

Now, We know that;

⇒ 1 hours = 60 minutes

Hence, We can change as;

⇒ 4 1/2 hours = 4 1/2 × 60 minutes

                      = 9/2 × 60

                      = 270 minutes

Hence, There are 270 minutes long is the final lesson.

Learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ2

I'm confused what the answer is and my assignment is due tonight.
Please help!!!!!!

Answers

Answer:

You're just subtracting the (x,y) for the blue to the (x,y) for the red.

Step-by-step explanation:

pls help somebody. And also include how u got it. I'm confused.
:)

Answers

So basically the decimal dot is in the tenth place which means it is 5/10

U can simplify that into 1/2

Final answer: 1/2

Answer:

1/2

Step-by-step explanation:

Since 2/2 is one whole that means if you add .5 + .5 you will get one whole and it is half of one whole

plz help me it’s multiple choice! i wanna do good on this.

Answers

Answer:

A, or Triangle DEC

Step-by-step explanation:

1.) What is the average rate of change between x=2 and x=5?


2) What is the average rate of change between x=3 and x=6?


3) What is the average rate of change between x=2 and x=4?

Answers

Answer:

Rate of change = 150%

Rate of change = 100%

Rate of change = 100%

Step-by-step explanation:

Find:

Rate of change

x=2 and x=5

x=3 and x=6

x=2 and x=4

Rate of change = [(5-2)/2]100

Rate of change = 150%

Rate of change = [(6-3)/3]100

Rate of change = 100%

Rate of change = [(4-2)/2]100

Rate of change = 100%

Answer:

2 4 8         next : increases

Step-by-step explanation:

Please help me with steps.

Answers

Answer:

I think its would be d

Step-by-step explanation:

the distributive property

Answer:

It D. yigigihihijojjvjhjbhhjhj

i need the answers pls!

Answers

Given:

The equation is

[tex]\dfrac{2a-4}{3}=8[/tex]

To find:

The reason for second step.

Solution:

We have,

[tex]\dfrac{2a-4}{3}=8[/tex]

Using multiplication property of equality, multiply both sides by 3.

[tex]3\left(\dfrac{2a-4}{3}\right)=3(8)[/tex]

[tex]2a-4=24[/tex]

Using addition property of equality, add 4 on both sides.

[tex]2a-4+4=24+4[/tex]

[tex]2a=28[/tex]

Using division property of equality, divide both sides by 2.

[tex]\dfrac{2a}{2}=\dfrac{28}{2}[/tex]

[tex]a=14[/tex]

So, the reason for second step is multiplication property (=).

Therefore, the correct option is D.

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