When benny's sister is 24, Benny's age will be 125% of her age. How old will Benny be then, and is Benny is 12 years old now, how old is penny now?

Answers

Answer 1

Answer:

A. 30

B. 6

Step-by-step explanation:

We'll use P for Penny's age and B for Benny's age. When Penny is 24, Benny will be 1.25 her age. Thus:

B = 1.25 * 24

(benny is 25% older than her)

So Benny's age then will be 1.25 * 24 = 30.

When Benny is 30, Penny will be 24. This means that he is older than her by 6 years. Think about it for a second: Benny will always be 6 years older than her. You can write that as:

B = P + 6

If Benny is 12 years old now,

12 = P + 6

Subtract 6 from both sides and you get

6 = P

or P = 6

Penny is 6 years old when Benny is 12.


Related Questions

help me w this plssss

Answers

Answer:

It is none of the above. The actual answer is 215

Step-by-step explanation:

8.6*50/2=215

Answer:

none of these

Step-by-step explanation:

on map 8.6 cm

scale 2cm: 50mi.

on reality if you divide the 8.5 cm into 2 cm portions and for each you have 50 mi. then you get the result

(8.6 /2)*50 = 215 mi.

PLS HELP WITH THIS QUESTION!!!!! I’ll give brainliest

Answers

Answer:

∠P = 21

Step-by-step explanation:

angle P is an inscribed angle and arc RQ is the arc it intercepts

The measure of an inscribed angle is equal to half the measure of the arc it intercepts.

Hence, ∠P = [tex]\frac{1}{2}[/tex] ( arc RQ )

So if arc RQ = 42°

Then ∠P = 42/2

42 / 2 = 21

Hence, ∠P = 21°

When tossing a 6-sided die, the probability of tossing a multiple of 3 is 1/3. If you toss the die 70 times, about how many times would you expect to toss a multiple of 3?

Answers

Answer:

23.33 (rounded down 23)

Step-by-step explanation:

A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground. How high up the pole is the wire attached? Write your answer in simplest form. The wire is attached to the pole feet above the ground. ​

Answers

Answer:

20 ft is where it's attached

find the volume of the rectangular prism below 3.6ft, 2.7ft, 8.1ft

Answers

Answer:

78.732

Step-by-step explanation:

Volume is length x width x height so
3.6 x 2.7 x 8.1 is 78.732

In parallelogram PQRS if m_SPQ=25º find m_RSP.
R
Р
25°
XS

Answers

Answer:

180-25=155 degrees

180-25=155.


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F

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please help asap!
thanks

Answers

Answer:

Option B

Step-by-step explanation:

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

Now substitute the measures of each side in the formula,

(13)² = x² + (12)²

169 = x² + 144

x² = 169 - 144

x² = 25

x = √25

x = 5

Therefore, Option B will be the correct option.

PLEASE HELP *78 POINTS* (WILL MARK BRAINLIEST)

Greg's favorite activities are bike riding and hip-hop dancing. He wants to try to do these activities for 6 hours each week. He would also like to try to burn off about 2,100 calories a week. He finds that biking uses about 425 calories each hour and hip-hop uses about 325 calories each hour. He wants to do bike riding for x hours and hip-hop dancing for y hours each week.
How much time should he spend doing each activity to accomplish his goal?

Answers

Answer:

4 hours ( i think sorry if wrong)

Step-by-step explanation:

Tina sells lampshades for $7 each and paper lanterns for $4 each at a one-day craft fair. She sells k lampshades and (k + 4) paper lanterns. The expression 7k + 4(k + 4) represents Tina’s total sales. Select all the equivalent expressions for Tina’s total sales at the fair

7k + 4k + 4
7k + 4k + 4
11k + 16
11k + 16
7k + 4k + 16
7k + 4k + 16
8k + 16
8k + 16
11k + 4

Answers

Answer: 11k + 16 and 7k + 4k + 16

Step-by-step explanation: if we distribute the 4 first we get

7k+4k+16

we can aslo combine the k's to get

11k+16

hope this is helpful (^_^)

Roy is in a hot air balloon that has just taken off and is floating above its launching point.
Dirk is standing on the ground, 7 meters away from the launching point. If Roy and Dirk are
10 meters apart, how high up is Roy? If necessary, round to the nearest tenth.

_____ meters


Please and thank you!
No links!!!!

Answers

Answer:

7.1 meters

Step-by-step explanation:

Use the pythagorean theory:

10 would be the hypotenuse

7 would be one of the legs

and x (or whatever variable you'd like) would be the other leg.

7^2+x^2=10^2

49+x^2=100

subtract 49 from both sides

x^2=51

take the square root on both sides

x is approximately 7.1

Find the missing angle.

Answers

Answer:

[tex]x=80[/tex]°

Step-by-step explanation:

[tex]sum ~of ~3~angles ~of ~a~ triangle ~is ~180[/tex]

[tex]80+20+x=180[/tex]

[tex]x=missing ~angle[/tex]

[tex]100+x=180[/tex]

[tex]x=180-100=80[/tex]

[tex]So, x=80[/tex]

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

hope it helps...

have a great day!!

Select at the tru statements about this graph

Answers

Answer: a,e

Step-by-step explanation:

The rabbit population in a certain area is 200% of last year’s population. There are 1,100 rabbits this year. How many were there last year?

Answers

Answer:

1100/2 = 550

Step-by-step explanation:

A percent increase of 200% is equal to multiplying by 2. Therefore, we can divide by two to reverse the increase.

which divisor of -2x^3 - 5x^2 + 4x - 2 results in a remainder of -14

Answers

Answer:

[tex]f(x) = -2x^3 -5x^2 +4x -2\\option 1 : x+2 \\f(-2) = -2(-2)^3 -5(-2)^2 +4(-2)-2 = 16 -20-8-2= -14\\\\\\option 2: x+3\\f(-3) = -2(-3)^3 -5(-3)^2 +4(-3) - 2 = 54 -45 -12-2 = -5\\\\option 3: x-2\\f(2) = -2(2)^3-5(2)^2-4(2)-2=-16 -20-8-2=-46\\\\option4 :x-3\\f(3) = -2(3)^3 - 5(3)^2-4(3)-2 = -54-45-12-2=-113\\[/tex]

option 1: x + 2

$35,200 at 2% for 2 years

Answers

Answer:

Um 1408

Step-by-step explanation:

2% of 35,200 is 704 and 304*2= 1408

Answer:

36622.80

Step-by-step explanation:

I don't know how to do it I used an app on my phone

Plz help I will mark brainliest plz

Answers

Answer:

The equation is [tex](x - 2)^2 + (y + 7)^2 = 9[/tex]

Step-by-step explanation:

Find two values for k such that the trinomial x2 – 7x + k can be factored over the integers. Explain your reasoning.

Answers

Answer:

1) For [tex]a = 1[/tex]: [tex]b = 6[/tex] and [tex]k = 6[/tex], 2) For [tex]a = 3[/tex]: [tex]b = 4[/tex] and [tex]k = 12[/tex]

Step-by-step explanation:

The polynomial [tex]y = x^{2} - 7\cdot x + k[/tex] is a second-order polynomial of the form [tex](x-a)\cdot (x-b) = x^{2}-(a+b)\cdot x + a\cdot b[/tex]. By direct comparison, we construct the following system of equations:

[tex]a + b = 7[/tex] (1)

[tex]a\cdot b = k[/tex] (2)

By (1) we know that there are a family of pairs such that the system of equations is satisfied. Let suppose that both [tex]a[/tex] and [tex]b[/tex] are integers. We assume two arbitrary integers for [tex]a[/tex]:

1) [tex]a = 1[/tex]

[tex]b = 7 - a[/tex]

[tex]b = 6[/tex]

[tex]a\cdot b = k[/tex]

[tex]k = (6)\cdot (1)[/tex]

[tex]k = 6[/tex]

2) [tex]a = 3[/tex]

[tex]b = 7 - a[/tex]

[tex]b = 4[/tex]

[tex]a\cdot b = k[/tex]

[tex]k = (3)\cdot (4)[/tex]

[tex]k = 12[/tex]

What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm​ long, 9 cm​ wide, and 7cm​ tall?

Answers

Answer:

This length is greater than the 12 cm side of the rectangle, so it confirms our initial guess, the longest line segment is 12.89 cm long.

what should be subtracted from -5/3 to get 5/6

Answers

Answer:

-3/4-x=5/6

x=-3/4-5/6

x=-3*6-5*4/6*4

x=-18-20/24

x=-38/24

x=-19/12

Step-by-step explanation:

hope it helps  

stay safe love u

btw can i get brainliest

Answer:

-5/3 - x = 5/6

-x = 5/6 +5/3

-x/-1 = (5/2)/-1

therefore x = -5/2

therefore -5/2 must be subtracted

1) A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip
back took 16 hours. What is the speed of the boat in still water? What is the speed of the
current?
A) boat: 13 mph, current: 4 mph B) boat: 30 mph, current: 2 mph
C) boat: 45 mph, current: 1 mph D) boat: 20 mph, current: 4 mph

Answers

Answer:B

I think we are in the same class lol

Step-by-step explanation:448 divided by 14= 32

448 divided by 16= 28

B=speed of boat in water

Y= Speed of current

B+y=32

B-y=28

32 + 28 =60

60 divided by 2 = 30

32 -30 =2

B=30

Y=2

Add my discord if you need more help Snapple#0141

A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip back took 16 hours. B) boat: 30 mph, current: 2 mph.

How to find the speed of an object?

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units time, then that object's speed is

[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

A boat traveled 448 miles downstream and back.

The trip downstream took 14 hours. The trip back took 16 hours.

[tex]S = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

Speed of downstream

448/ 14= 32

Speed of back stream

448 / 16= 28

B = Speed of boat in the water

Y = Speed of current

The system of equation

B + y = 32

B - y = 28

32 + 28 =60

60 / 2 = 30

So,

32 - 30 =2

B = 30  

Y = 2

Learn more about motion in stream here:

https://brainly.com/question/14297576

#SPJ2

4x-2(x-5)=-8+4x+12 answer plz help #lovedafans

Answers

Answer:

x = 3

Step-by-step explanation:

Answer:

The answer is x = 3

Find the x and y intercept
3x - 4y = 12
O
a
x-int. 8. y-int. -6
x-int. 4. y-int. -3
x-int. -6. y-int. 8
x-int. 3. y-int. -4

Answers

Answer:

x = (12+4y)÷3

Step-by-step explanation:

loveeeeee

find the slope of the line going through the points (2,-3) and (-1,15) in the simplest form

Answers

Answer:

y=-2x

Step-by-step explanation:  

You could find the slope of line going through the points (2,-4) and (-1,2). It is

slope is -6/3 or -2

So the line is

Now plug in one of the points and the slope into point slope form and find the line

y+4=-2(x-2) or

y+4=-2x+4 so

y=-2x

Check it by making sure BOTH points are on the line. Plug the values into the equation you found for the line.

-4=-2(2)

2=-2(-1)

Ethan rolls the number cube and then spins the arrow on the

spinner. A list of all the possible outcomes is shown.

3

1

2

2

{(1,1).(1,2).(1.3). (2,1).(2, 2), (2,3).(3,1),(3,2).(3,3).

(4,1).(4.2).(4.3).(5,1).(5,2).(5,3).(6, 1).(6,2).(6,3)

3

What is the probability that the sum of the two numbers is odd, given that the product is 6?

A 1/3

B. 1/2

C. 2/3

D. 1

Answers

Answer:

I myself would say the answer is C.

Step-by-step explanation:

Sam volunteers at an animal shelter. He created a line plot to show the weights in pounds of the kittens at the shelter.


Line plot named as ALTDCWeights of Kittens in ShelterALTDC shows a number line from half to two and half. The number line is divided into 4 equal parts. 3 dots on half, 2 dots on 1 and 1 dot on one and half is given.


What is the total weight of the kittens in the shelter?

Answers

Answer:

The total weight is 5kg

Step-by-step explanation:

Given

See attachment for box plot

Required

Determine the total weight of the kitten

First, we represent the plot in the following table where the number of dots represent the frequency.

So, we have:

[tex]Weight \to Frequency[/tex]

[tex]\frac{1}{2} \to 3[/tex]

[tex]1 \to 2[/tex]

[tex]1\frac{1}{2} \to 1[/tex]

[tex]2 \to 0[/tex]

[tex]2\frac{1}{2} \to 0[/tex]

Multiply the weight by the frequency, then add up the result

So, we have:

[tex]Total = \frac{1}{2} * 3 + 1 * 2 + 1\frac{1}{2} * 1 + 2 * 0 + 2\frac{1}{2} * 0[/tex]

[tex]Total = 1\frac{1}{2} + 2 + 1\frac{1}{2} + 0 + 0[/tex]

[tex]Total = 1\frac{1}{2} + 2 + 1\frac{1}{2}[/tex]

Express as improper fraction

[tex]Total = \frac{3}{2} + 2 + \frac{3}{2}[/tex]

Take LCM

[tex]Total = \frac{3+4+3}{2}[/tex]

[tex]Total = \frac{10}{2}[/tex]

[tex]Total = 5kg[/tex]

Help me - prime factorization of 136

Answers

Answer:

136 = 2³ x 17.

Step-by-step explanation: Factors of 136: 1, 2, 4, 8, 17, 34, 68, 136. Prime factorization: 136 = 2 x 2 x 2 x 17, which can also be written 136 = 2³ x 17.

Which function is represented by the graph below?

graph begins in the second quadrant near the x-axis and increases slowly while crossing the ordered pair 3, 1. Then the graph begins to increase quickly throughout the graph

(5 points)


f(x) = 3x
f(x) = 3x − 3
f(x) = 3x + 3
f(x) = 3(x − 3)

Answers

The answer should be the third one

pls help!!
1. 5n + 10 = 20 n = ?
2. 36 = 12m m = ?
3. 4a - 12 = 28 a = ?
4. q/5 = 10 q = ?

Answers

Answer:

here you go! :))

n= 2

m=3

a= 10

q= 50

What angle is this? A: Adjacent. B: Vertical. C: Complementary. D: Supplementary.
I WILL GIVE BRAINLIST TO RIGHT ANSWER

Answers

Answer:

Supplementary!

Answer:

Complementary I believe.

correct me if I’m wrong

if not adjacent

Anthony needed to complete some complex tricks in order to win the 17 and Under State Skate Boarding Championship in Orlando FL. In an attempt to complete a McTwist (a 540-degree burni performed on a cap) and to maximize his air time, Anthony rode his skateboard up a specially designed one of a kind ramp. Unfortunately, he did not make it to the other side of the ramp and crashed his skateboard. His height zoove the ground in feet is a function of his horizontal position from the top of the ramp, also measured in feet The function that relates his height to his distance is h(x)=-x²+2x+8. How far above the ground is the top of the ramp? F a b. How far away from the ramp was Anthony at his maximum height What is his maximum height? C. At his highest point, how high was he above the top of the ramp? d Whea bestemowlad het veled horizontal?​

Answers

Answer:

did you get the answer yet I have the same question

Answer: a. 8 feet

the first question in part b is 1 and the second part is 9. ( or you could just put 1,9) c. 1 foot taller d. -2 and 4

Step-by-step explanation: you get answer A by looking at the C- value of the equation( in this case it’s 8)

you get the first answer to B by using the axis of symmetry formula -b/2(a) and that equals 1. You get the second answer to B by plugging in 1 into the equation..solve and get 9. So your answers in total should be (1,9)

For part C all you do is subtract the top of the ramp.. which is 8 from your vertex. in other words you do 9-8 and get 1 as your answer for C

Lastly, for D you use the quadratic formula ( or use photo math) and get answers -2 and 4.

If you’re also having problems on part E .. all you have to do is place a dot at point -2, place dot at point 4, place a dot at 8 on the Y AXIS, then place a dot at point (1,9) lastly, connect the dots with a line and the graph should look like an upside down U or V( whatever you think it looks like)

I hope this helped you guys!!

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