a boy is older than his sister by 3 years five years ago, the ratio of their ages was 4 : 3 find his present.​

Answers

Answer 1
B:S = 4x:3x
4x - 3x = 3
x = 3
They were 12 & 9.
Add 5 to that.
So he’s now 17 and she’s 14
Answer 2

Answer:

five years ago -- boy-   x+3 years

                           sister ---  x

ratio-- 4:3  so difference is 3 years

4-3-- 1   1--3

five years ago ---  sister  :3*3--9   brother : 4*3--12

present : sister 14 years and brother 17 years old

 

Step-by-step explanation:


Related Questions

Show an equilateral triangle place on the coordinate system. Label the coordinates of the vertices using one variable? Plz help need soon

Answers

Answer:

the answer is (1,5,6,35) or (1.5,-2,33

Step-by-step explanation:

What is the area of this figure?

Answers

Answer:

50

Step-by-step explanation:

Answer:

area of rectangle = l×b

total area = (11×6) + (8×4)

= 66 + 32

= 98in.sq

PLEASE HELP!!!!???: Simplify the expression 13 + (14 + x).

Answers

Answer:

27+ x

Step-by-step explanation:

Answer: 27 + x

Step-by-step explanation:

Add 13 + 14, which = 27

Now you are left with 27 + x

PLEASEEEE HELP!! OFFERING 25 POINTS!!

Answers

Answer:

I havent seen questions like this many times so here is solving for b

b=-2x

Just factor and solve.

Answer:

15

Step-by-step explanation:

What is the solution to equation 3 1/2 + p = 5 1/4?

a. p = 3/4
b. p = 2 3/4
c. p = 1/4
d. p = 1 3/4

Answers

The value of p is 1 3/4

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex]p = 1\frac{3}{4} [/tex]

Answer D is correct

Step-by-step explanation:

[tex]3 \frac{1}{2} + p = 5 \frac{1}{4} \\ \frac{7}{2} + p = \frac{21}{4} \\ p = \frac{21}{4} - \frac{7}{2} \\ p = \frac{21 - 14}{4} \\ p = \frac{7}{4} \\ p = 1 \frac{3}{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Simplify the expression. 5k(-6k^2 -2k+6)

Answers

Answer:

-30k^3-10k^2+30k

Step-by-step explanation:


Identify the conclusion of the statement.

If a number is negative, then the number is less than zero.
A) a number is negative
B) a number is positive
C) the number is less than zero
D) the number is greater than zero

Answers

Answer:

  C) the number is less than zero

Step-by-step explanation:

In an if ..., then ... statement, the conclusion is the phrase following "then."

Here, we have ...

  If a number is negative, then the number is less than zero.

__

The conclusion is formatted in bold italics.

Slove 7+x-15=-2 2/3

6 1/3
10 2/3
20 2/3
5 1/3

Answers

Answer:5 1/3

Step-by-step explanation:

Hope I helped u :)

Theoretical probability is the probability that an event occurs when all of the outcomes of the experiment are equally likely.
Theoretical Probability

number of ways the event can occur
number of ways the event can occur P(event) = _____________________________________
total number of equally likely outcome



A bag contains 6 red marbles and 12 blue ones. You select one marble at random from the bag.

(1)What is the probability that you select a red marble? Write your answer in the simplest form

(2) What is the probability that you select a blue marble? Write your answer in the simplest form

Answers

1. The probability that we select a red marble is 1/3.

We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.

6/18 = (6/6)/(18/6)

(6/6)/(18/6) = 1/3

So, therefore, the theoretical probability of picking a red marble is 1/3.

2. The probability that we select a blue marble is 2/3.

We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.

Greatest Common Factor of 12 and 18 = 6

12/18 = (12/6)/(18/6)

(12/6)/(18/6) = 2/3

Thus, the theoretical probability of picking a blue marble is 2/3.

What is the equation of the circle in general form

Answers

Answer:

(x - 3)^2 + (y - 5)^2 = (√89)^2

Step-by-step explanation:

Well if you estimate, you can see that the circle touches one point at (-5, 0) and the center is at about (3, 5).

The standard equation for the circle is (x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center.

So, you can start by plugging in the center. (x - 3)^2 + (y - 5)^2 = r^2

Now, all you have to do is find the radius.

You can do this by connecting the point (-5, 0) to the center.

You will have to use the distance formula:

√(-5 - 3)^2 + (0 - 5)^2 = √64 + 25 = √89

The final equation will be (x - 3)^2 + (y - 5)^2 = (√89)^2

This is the general idea, but my answer may not be correct, so check my steps.

maria collects data from a random sample of 7th graders in her school and finds out 16 out 20 7th graders participate in after school activities, how many students should maria expect to participate in after school activities if 240 total 7th graders attend maria’s school?

Answers

Answer:

192

Step-by-step explanation:

ratio of 16/20

cross multiple with x/240

20x=3840

divide

192

How many trades of Apple were made

Answers

where the pic or question?

−5x+2y=9

y=7x

​system of equation with substitution

Answers

Answer:

point Form: (1,7)

Equation form: x=1, y=7

Step-by-step explanation:

If 108 people attend a concert and tickets for adults cost $4 while tickets for children cost $2 and total receipts for the concert was $328, how many of each went to the concert?

Answers

Possibly 82 adults or 164 kids

Answer method 1

81 adults and 2 child.

Answer method 2

Therefore  69 adults came and 60 children came. Because 18 children did not pay we have 129-18 = 108 attending

69 : 60 = 276: 120  = 3.02 distribution.

69 x £4 = $276 + 60-18 = 42 = 42 x 2 = $84

Combined = $276+$84 = $360

We find that an extra 8 adults didnt pay either.

Making this  69 adults and 60 children where 8 adults didn't pay and 18 children didn't pay. This way this create an average 3.02 for the 108 people attending.

3.02 x 108 =  $326

80 adults and 8 child

We use ratio of 108 attendees = 328/108 = 3.03 average price which shows ratio  child to adult 1:2

31 adult +42 child = $124 and $82 children = $208 children

38 more adults = 38 x 4 = 120 + 36 = $156 = (38 +18 children) = $156

= $364 - 36 = 6 child not paying = 12 and  6 adults not paying = 21

Therefore  69 adults came and 60 children came. Because 18 children did not pay we have 129-18 = 108 attending

of 48 paying and attending and the other 40 children potentially being non payers and part of

Step-by-step explanation:

4+2 = 6

8+2 = 10

4+4 = 8

We look for 80+ 28 and see 8+2 accounts for 4 adults 2 child = $20

We minus the 20 in workings and realize only when we work out 80 x 4 = 320 that only 2 child was needed and not 6 child for $12 of the 28. Because of me thinking 28 was a distribution, such resource of 4 + 1 adults became just 1 extra adult and 1 extra child.

Simply as I was chasing distribution of $24

8 of 24 was kept as

8 accounts for 1 adult and 2 child. = $8

80 accounts for 60 x $4 adults = $240 + 20 x 4 = $80

240+80=320

= $320 +$20 + $8 (-$20) = $328

Here we did not have to count back to find the correct amount only go steady with 80 distribution for 81 adults and only 2 child.

Which is the graph of f(x) = 3x.

Answers

Answer:

Step-by-step explanation:

The

x

-intercepts are

(

0

,

0

)

and

(

3

,

0

)

because

3

x

x

2

=

0

factored equals

(

x

)

(

x

3

)

=

0

When each of the parenthetical expressions is set equal to zero, you get

x

=

0

and

x

=

3

The vertex is

(

3

2

,

9

4

)

because the

x

-coordinate of the vertex is

x-coord. vertex

=

b

2

a

=

3

2

(

1

)

=

3

2

Then, you plug

3

2

into the equation for

x

and get

f

(

3

2

)

=

3

(

3

2

)

(

3

2

)

2

=

9

4

the graph of f(x) = 3x will be a Line.

What is a Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given a equation f(x) = 3x

Comparing with the slope-intercept form of the graph:

We can see the slope of the line will be 3 and since the y-intercept is 0

Since Function f(x) will be a linear equation

Therefore, its graph would be a line.

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ3

5. What is the approximate height of the cylinder?

Use 3.14 for 77, and if necessary, round to the

nearest tenth.

10 ft

? ft

V = 314 ft3

Answers

Answer:

Height of the cylinder is 1ft

Step-by-step explanation:

Data ;

Volume = 314ft³

Assuming radius = 10ft

Height = ?

π = 3.14

Volume of a cylinder = πr²h

r = radius

h = height of the cylinder

Vol = πr²h

314 = 3.14 × 10² × h

314 = 314h

Solve for h,

h = 314 / 314

h = 1ft

The height of the cylinder is 1ft.

Suppose you want to finish running errands by 4:00 pm. Shopping will take 20 minutes. Eating will take 25 minutes. You will meet with a friend for 15 minutes. And your travel time will be a total of 20 minutes. When should you START your errands?

Answers

Answer:

2:50 pm

Step-by-step explanation:

In order to find the amount of time it takes to complete your errands, we first have to find the time it takes to complete them.

20+25+15+10=45+25=70

So, it will take 70 minutes, or 1 hour and 10 minutes to complete your errands.

We need to find what time 1 hour and 10 minutes before 4:00 is. So, one hour before 4:00 is 3:00. Then, 10 minutes before 3:00 pm is 2:50. Therefore, you have to start your errands at 2:50 pm.

Can someone please help me? Find the area of the three triangles in the picture. (A-C)

Answers

Answer:

A:

12

B:

16

C:

12

Step by Step Solution:

4/3=8/x-1

What is the answer?​

Answers

Answer:

7

Step-by-step explanation:

x - 1 would have to equal 6 in order for this expression to be true at 8/6 will simplify to 4/3.

x - 1 = 6

add 1 to both sides to get

x = 7

Please mark me as brainliest if this helped. Thank you!

Answer:

[tex] x= 5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Which number below is a prime number?
O A. 18
O B. 12
O c. 17
O D. 28

Answers

Answer: 17 is the only prime number

Step-by-step explanation:

Answer:

C 17

Step-by-step explanation:

A. 18  = 2*9  so not prime

B. 12  = 3*4 so not prime

c. 17  

D. 28 = 4*7 so not prime

17 = 1*17 so the only numbers are 1 and itself so it is prime

Write a piecewise function that models each telephone billing plan. Then graph the function.

$60 per month buys 450 minutes. Additional time costs $0.35 per minute.

Answers

Answer: if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min)*$0.35

Step-by-step explanation:

Here x will represent the number of minutes.

with $60 you have 450 minutes, and you must pay 60 regardless of how much minutes you use.

so if  0 < x ≤ 450, y = $60.

now, if you call for more than 450 minutes, you get an additional of $0.35 per minute, then we have:

if 450 < x ; y = $60 + (x - 450min)*$0.35

where we use (x - 450)*$0.35 because any minute after the 450 minute mark is considerated an additional time.

So our piecewise function is:

if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min)*$0.35

if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min) × $0.35

the calculation is as follows:

Here x will represent the number of minutes.

so if  0 < x ≤ 450, y = $60.

And,

if 450 < x ; y = $60 + (x - 450min) × $0.35

where we use (x - 450) ×$0.35 since any minute after the 450 minute mark is considered an extra time.

Find out more information about the graph here: https://brainly.com/question/14375099?referrer=searchResults

Factor
x2 + 16x + 60

Answers

Answer:

(x+10) (x+6)

Step-by-step explanation:

x^2 + 16x + 60

Factor

What 2 numbers multiply to 60 and add to 16

10*6 = 60

10+6 = 16

(x+10) (x+6)

A computer manufacturer sells his products at 40% higher then it costs to make. what is the selling price of the computer given the cost to make it?
pzzzzzzzzz help me !!!!!!!!!!!!!!!

Answers

Multiply how much he is selling it for by 1.40 and you will get your answer

4. Given the function f(x) = 8x + 2 , evaluate f(6)

Answers

Answer:

f(6) = 50

Step-by-step explanation:

f(x) = 8x + 2

then

f(6) = 8(6) + 2

     = 48 + 2

     = 50

____________________________

:)

Marco wants to put a decorative boarder around the edge of his circular herb garden. He finds that the distance from the garden’s edge to its center is 42 inches. The store only sells the material in 1 foot increments. How many FEET of material should Marco buy to completely surround the garden?

Answers

Answer:

4 feet or 3.5 feet

Step-by-step explanation:

if 12 inches equals a foot then you divide 42 by 12

which gives you 3.5

If MNOP is rectangle and m

Answers

Answer:

the value of x° is also 60°

B

Answer:

60

Step-by-step explanation:

n would be 60 and a triangle is 180

A nutrition label states that the item contains 8 % the daily recommended amount of fiber. Rewrite this percent as a fraction
in simplest form.

Answers

Answer: 2/25

Step-by-step explanation:

2/25 is your answer.

Determine whether 25a^2 − 49b^6 is a difference of two squares. If so, factor it. If not, explain why.
A. It is not a difference of squares because −49b^6 is not a perfect square.
B.(5a + 7b^3)(5a − 7b^3)
C.(5a − 7b^3)(5a − 7b^3)
D.(5a − 7b^6)(5a + 7b^6)

Answers

Answer:

Step-by-step explanation:

it is

B

What is the sum of the fractions? Six 2/3 + 1/9

Answers

Answer:

6 7/9 i think

So the right answer is 6 7/9

Look at the attached picture

Hope it will help you

Good luck on your assignment





Which construction is being shown in the diagram?
A) Copy an angle
B) Copy a triangle
C) Construct an equilateral triangle
D) Construct the bisector of an angle

Answers

Answer:

Correct answer is option D) Construct the bisector of an angle.

Step-by-step explanation:

Angle bisector of an angle is a line that divides the angle in two equal parts.

A Line BD is called the angle bisector of [tex]\angle ABC[/tex] if

[tex]\angle ABD = \angle CBD[/tex]

Please refer to image attached.

As per the question image, if the line PW is joined it will be the angle bisector of [tex]\angle QPR[/tex].

Steps of construction of angle bisector:

1. Draw the angle QPR.

2. Open compass and make an arc that will cut the two lines on points Q and R respectively as shown in question figure.

3. With the same compass opening, put the compass on Q and make an arc in the area between [tex]\angle QPR[/tex].

4. Draw an arc keeping the compass on R to cut the previous arc on point W.

Line joining the points P and W is the angle bisector of [tex]\angle QPR[/tex].

So, Correct answer is option D) Construct the bisector of an angle.

Answer: Option d

Step-by-step explanation: just took test

Other Questions
A rectangular prism. Side a has a length of 5 centimeters, side b has a length of 4 centimeters, side c has a length of 4 centimeters, and side d has a length of 20 centimeters. Label the net by defining each variable. a = cm b = cm c = cm d = cm I WILL MARK FIRST ANSWER BRAINILEST (CORRECT ANSWER) PLZ HELP!In what two ways does the New Testament speak of the temple of God?a.b. In asking all 349 second graders in a school district, it is found that on average, these second graders have 2.5 pets. Is this number a parameter or a statistic and why? correct answer gets brainliest Jillians school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold? where does the chemical reaction take during photosynthesis Journalize the following transactions of Trapper Jons Productions. Assume 360 days in a year. June 23. Received a $48,000, 90-day, 8% note dated June 23 from Radon Express Co. on account. Sept. 21. The note is dishonored by Radon Express Co. Oct. 21. Received the amount due on the dishonored note plus interest for 30 days at 10% on the total amount charged to Radon Express Co. on September 21. What occurs during cytokinesis i just need the blanks, but hurry!! For this problem, use a formula from this chapter, but first state the formula. Frames arrive randomly at a 100-Mbps channel for transmission. If the channel is busy when a frame arrives, it waits its turn in a queue. Frame length is exponentially distributed with a mean of 10,000 bits/frame. For each of the following frame arrival rates, give the delay experienced by the average frame, including both queueing time and transmission time.a. 90 frames/ sec.b. 900 frames/ sec.c. 9000 frames/ sec Evaluate 15 - 151.-101020-20 45% of all 1st graders at Sierra Elementary School are female students. This year there are 54 female 1st graders at Sierra Elementary School. How many 1st graders are there at Sierra Elementary School this year? "Some plants called epiphytes, or air plants, have adapted to get nutrients from the air.Some examples of epiphytes in rainforests are mosses, lichens, and orchids. Althoughthey often live on other plants, they don't take any nutrients from the other plants-theyget what they need straight from the air with special root systems.There are also some plants called parasitic plants. They grow on other plants, their hostplants. Parasitic plants actually DO take nutrients from their host plants."Why might the author have capitalized the word "DO"?A. to point out a similarityB. to make a contrastC. to summarize a processD. to make an argument what is the total cost of a meal if the food cost $25 and there is a food tax of 3% and the waiter is tipped 15% of the food cost? Round to the nearest cent. Zuri's parrot can speak several languages, it also hasits own TV show.Answer: Zuri's parrot can speak several languages; it also has its own TV show. With approximately __museums in France, there are many places that feature classic, modern, or contemporary art.4008001200200 I REALLY! REALLY!! REALLY!!! NEED HELP!!! WILL GIVE BRAINLIEST AND VOTE AND WILL RATE!!!! AT LEAST TAKE A LOOK PLEASE!!! WILL FOREVER THNK YOU!!!!9. In his personal narrative, Olaudah Equiano describes the conditions on board slave ships crossing the Atlantic Ocean:This wretched situation was again aggravated by the galling of the chains, now become insupportable; and the filth of the necessary tubs, into which the children often fell, and were almost suffocated.Why does Equiano include details like these in his narrative?A) He wants to cause alarm about the horror of the slave ship holds.B) He wants slavers to stop separating loved ones during auctions.C) He wants readers to make more effort to protect children.D) He wants to call for reforms of terrible ship conditions. The pH of a solution is 6. What is the poH of solution? predict what the y-value will be if the x-value is 200. A rectangle has a length of 8 inchesand a width of 6 inches.What is the area of the rectangle?