Four children have small toys. The first child has 1/10 of the toys, the second child has 12 more toys than the first, the third child has one more toy of what the first child has and the fourth child has double the third child. How many toys are there?

QUESTION POSTED AT 03/12/2019 - 12:35 PM

Answered by admin AT 03/12/2019 - 12:35 PM

Call x the amount of toys the first child has. We write the equation x+(x+12)+(x+1)+2(x+1)=10x. This is equal to 5x+15=10x. Subtracting 5x, we see that 5x=15, so x=3. There are 10x toys, so we have 3*10=30 total toys.
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Related questions

The fourth grade students at Riverside school are going on a field trip there are 68 students on each of the 4 busses how many students are going on the field trip

4 busses* (68 students/ 1 bus)= 272 students.

There are 272 students going on the field trip~

ANSWERED AT 14/12/2019 - 06:25 PM


QUESTION POSTED AT 14/12/2019 - 06:25 PM

Brian has a bag that contains 14 red marbles and 12 yellow marbles. He selects a marble at random, and then, without replacing the first one, selects another marble at random. What is the probability that Brian selects a red marble and then a yellow marble? Round your answer to the nearest percent.

Answer=25%

14 red marbles
12 yellow marbles
26 total marbles

To solve this, we need to first find out the probability of the individual events...

The odds of selecting a red marble is 14 out of 26 total marbles: 14/26

The odds of selecting a yellow marble after the first marble was NOT replaced is 12 out of 25. (25 since the first marble wasn't replaced: 26-1=25) 12/25

Now lets multiple both probabilities together to solve for the chance of both happening consecutively....

14/26*12/25= 168/650=84/325

84/325=0.25846153846= 25%

ANSWERED AT 14/12/2019 - 06:14 PM


QUESTION POSTED AT 14/12/2019 - 06:14 PM

Which of the following are mathematical sentences? Check all that apply. a. 6 4 = 10 b. 8 - v c. 2 < 4 d. 12 E. 10g F. 8 - d = 16

Answers: A and D

- - Why?

Well a mathematical sentence needs to have something to equal to.
In this case for a we have
=10 and for d =16.


✡Hope this helps!



ANSWERED AT 14/12/2019 - 06:11 PM


QUESTION POSTED AT 14/12/2019 - 06:11 PM

Evaluate the expression, using the given value of the variable. z ÷ 3 – 5z + 4(z – 2) when z = 12 A. –16 B. –96 C. –14 D. –98

I believe the answer is -16. Cause 4 - 60 + 40 = -60 + 44 = -16. I'm sorry this is a week late.

ANSWERED AT 14/12/2019 - 06:09 PM


QUESTION POSTED AT 14/12/2019 - 06:09 PM

Evaluate the expression, using the given value of the variable. z ÷ 3 – 5z + 4(z – 2) when z = 12 A. –16 B. –96 C. –14 D. –98

First, you would substitute z with 12 since z = 12.
12 ÷ 3 - 5 (12) + 4 (12 - 2).
Then, you would follow the order of operations.
12 ÷ 3 - 60 + 40
4 - 60 + 40
-56 + 40
-16
So your answer is -16.

ANSWERED AT 14/12/2019 - 06:09 PM


QUESTION POSTED AT 14/12/2019 - 06:09 PM

Twin brothers, Andy and Brian mow their grandparent's lawn together in 12 minutes. Brian could mow the lawn himself in 10 minutes more than it would take Andy. How long would it take each person to mow the lawn alone?

Let
x = time of Byran's work
x + 10 = time of Andy's work

Rate is usually expressed a reciprocal. The total rate will be 12 minutes.
1/x + 1/(x + 10) = 1/12
The value of x will be 20 minutes.

Therefore Byran can take 20 minutes while Andy can take 30 minutes.

ANSWERED AT 14/12/2019 - 06:00 PM


QUESTION POSTED AT 14/12/2019 - 06:00 PM

What is the first numbers of pi?

♥ The first few numbers of pie is known as:
3.141
This is used in several mathematics problems (divide by or multiply by pie (3.141)

ANSWERED AT 14/12/2019 - 05:54 PM


QUESTION POSTED AT 14/12/2019 - 05:54 PM

A farm stand sold 12 ears of corn for 4$ .the farm stand sold 180 ears of corn at the same rate

To answer this first we set up a proportion and then solve. Lets do it:-

 \frac{4}{12}= \frac{x}{80}

Cross Multiply:-

80 · 4 = 320

Divide:-

420 ÷ 12 = 60

So, 180 ears of corn are for $60.

Hope I helped ya!! 

ANSWERED AT 14/12/2019 - 05:53 PM


QUESTION POSTED AT 14/12/2019 - 05:53 PM

A merry-go-round has a radius of 10 ft. To the nearest tenth of a foot, what distance does the merry-go-round cover when it rotates through an angle of 72°? For my first try, I got 62.9 as my answer, and it was marked wrong. I did this a second time, and got 12.6. I would like to check with anyone else to see if I got the answer right. The answers for this question were: 62.9, 12.6, 25.1, or 125.7

Yes, the correct answer is 12.6 ft.

Using the formula of arc length, that is
s = rθ
where s = arc length, r = radius, θ = angle (unit must be in radian)
With r = 10 ft and θ = 72 deg ( π/180 deg) = 1.26 rad,
s = (10)(1.26) = 12.6 ft

ANSWERED AT 14/12/2019 - 05:50 PM


QUESTION POSTED AT 14/12/2019 - 05:50 PM

How many time does 12 go into 50

4 times (if you're dividing, there's going to be a remainder of 2)

ANSWERED AT 14/12/2019 - 05:47 PM


QUESTION POSTED AT 14/12/2019 - 05:47 PM

Jack crawled 3 ft and Christine crawled 3⁄4 the distance Jack crawled. If you add the distance they each crawled together, what is the total distance the two children crawled. (Write the answer in inches.)

Christine crawled:
3 ft* (3/4)= 2.25 ft.

3 ft+ 2.25 ft= 5.25 ft

We already know that 1 ft= 12 in.

5.25 ft* (12in/ 1 ft)= 63 in.

The total distance the two children crawled together is 63 in~

ANSWERED AT 14/12/2019 - 05:47 PM


QUESTION POSTED AT 14/12/2019 - 05:47 PM

The product of two numbers is 713. The first number is 9 more than the second number. Which equation can be used to find x, the greater number? x(x − 9) = 713 x(x + 9) = 713 x2 − 9 = 713 x2 + 9 = 713

Let x = first number and y = second number.
The first statement is expressed as
x*y = 713
The second statement is expressed as
x = y + 9
To find x, use the second equation in terms of y, that is y = x - 9. Then substituting it to the first equation yields
x*(x - 9) = 713

ANSWERED AT 14/12/2019 - 05:46 PM


QUESTION POSTED AT 14/12/2019 - 05:46 PM

Jeremy opens a chocolate shop in the city. He pays $1,500 a month for rent and maintenance of the shop. The price of raw materials and manufacturing the chocolates is $6,000 a month. He sells the chocolates individually and in boxes of a dozen. Jeremy understands that his business needs a little time to become a success and decides that he wants to build a customer base initially. He is happy to break even for the first year. If Jeremy sells 2,400 individual chocolates and 50 boxes a month, how should he price his chocolates to break even, given the costs? (Assume that the price of a box is the same as the price of 12 individual chocolates.)

Amount of money paid by Jeremy as rent and maintenance of shop per month = $1500
Cost of raw materials and manufacturing per month = $6000
Total cost that Jeremy has to spend per month = (1500 + 6000) dollars
                                                                            = 7500 dollars
Number of individual chocolates sold = 2400
Number of chocolates sold in boxes = 50 boxes
                                                           = (12 * 50) chocolates
                                                           = 600 chocolates
Then
Total number of chocolates sold by Jeremy = 2400 + 600
                                                                       = 3000
Now
Price of each chocolate = 7500/3000 dollars
                                       = 75/30 dollars
                                       = 5/2 dollars
                                       = 2.5 dollars
Price of 600 chocolates = 600 * (5/2) dollars
                                       = 300 * 5 dollars
                                       = 1500 dollars
Price of 12 chocolates = (1500/600) * 12
                                     = 15 * 2
                                     = 30 dollars
Then
We can say that each box of chocolate should be sold at $30. All the loose chocolates should be sold at $2.5 each.

ANSWERED AT 14/12/2019 - 05:42 PM


QUESTION POSTED AT 14/12/2019 - 05:42 PM

There are 8 pencils in a package. How many packages will be needed for 22 children if each child gets 4 pencils?

11 4perstudent*22children=88pencils 88pencils/8perpack=11packs

ANSWERED AT 14/12/2019 - 05:35 PM


QUESTION POSTED AT 14/12/2019 - 05:35 PM

How to solve linear equations 12 = y + (-2)

Is like 14 + -2 = 12

ANSWERED AT 14/12/2019 - 05:34 PM


QUESTION POSTED AT 14/12/2019 - 05:34 PM

Liz is hiking a trail that is 0.8 miles long. Liz hikes the first 2 tenths of the distance by herself. She hikes the rest of the way with her friends. How far does Liz hike by herself ?

Answer:

Liz hiked 0.16 miles by herself.

Step-by-step explanation:

Liz is hiking a trail that is 0.8 miles long. So the total length of her hiking is 0.8 miles.

Liz hiked the first 2 tenths of the distance by herself i.e she hiked 2\times \dfrac{1}{10}=\dfrac{2}{10}th of the total distance.

So, the distance that she covered by herself is,

=\text{Total distance}\times \text{The portion she covered}

=0.8\times \dfrac{2}{10}

=0.16 miles

Therefore, Liz hiked 0.16 miles by herself.

ANSWERED AT 14/12/2019 - 05:30 PM


QUESTION POSTED AT 14/12/2019 - 05:30 PM

In which place is the first digit of the quotient? 3,589 ÷ 18

Answer:

Hundreds

Step-by-step explanation:

When writing a number example:1234

4 is the ones place

3 is tens place

2 is hundreds place

and 1 is thousands place

When we divide 3589 by 18, we get quotient is 199 and remainder is 7

Hence, the first place of the quotient i.e. 199 is in the hundreds place.

ANSWERED AT 14/12/2019 - 05:29 PM


QUESTION POSTED AT 14/12/2019 - 05:29 PM

Celia bought 12 apples, ate two of them, and sold the rest at 20 cents more per apple than she paid. Her total profit was $1.00. How much did she sell each apple for?

10(x+20) - 12x = 100, 10x + 200 -12x = 100, -2x = -100, x+20 = 70 cents, x = 50 cents

ANSWERED AT 14/12/2019 - 05:23 PM


QUESTION POSTED AT 14/12/2019 - 05:23 PM

Charles Lindbergh made the first solo airplane flight from New York to Paris. His flight covered about 3610 miles in 33.5 hours. Find the unit rate in miles per hour.

Charles Lindbergh made the first solo airplane flight from New York to paris. His flight covered about 3 610 miles in 33.5 hours. Let’s find the Unit Rate for this given data: => 3 610 miles is the total distance => 33.5 hours is the time Let’s divide the distance by time to get the answer => 3 610 / 33.5 => 107.8 miles per hour – this is the unit rate that Charles travelled in plane from New York to Paris

ANSWERED AT 14/12/2019 - 05:23 PM


QUESTION POSTED AT 14/12/2019 - 05:23 PM

Jack crawled 3 ft and Christine crawled 3⁄4 the distance Jack crawled. If you add the distance they each crawled together, what is the total distance the two children crawled.

Given situation: Jack crawled 3ft and Christine crawled ¾ the distance of jack crawled. Question: Find the total distance that Jack and Christine crawled. Solutions: => 3 feet => ¾ of Jack’s distance. Get the ¾ value of 3 feet. => ¾ = .75 => 3 * .75 = 2.25 The distance that Christine crawled is 2.25 Let’s add to get the total distance they crawled. => 3 + 2.25 => 5.25 total distance they crawled.

ANSWERED AT 14/12/2019 - 05:21 PM


QUESTION POSTED AT 14/12/2019 - 05:21 PM

A grocery store has 48 cartons of eggs .if there are 12 eggs in each carton, how many ounces of peanut butter are there in 1 serving?

4 because 48 divided by 12 equals 4. If the number of cartons equals the number of ounces of peanut butter, there are 4 ounces of peanut butter in one serving.

ANSWERED AT 14/12/2019 - 05:11 PM


QUESTION POSTED AT 14/12/2019 - 05:11 PM

Gomes found the masses of three rocks for a science project.The first rock had a mass of 19.29 grams,the second rock had a mass of 25.3 grams,and the third rock had a mass of 46.3 grams.How much greater was the mass of the third rock than the combined mass of the other two rocks?

Mass of first rock is 19.29
Mass of second rock is 25.3
Mass of third rock is 46.3

Add up the mass of the first and second rock.
19.29 + 25.3 = 44.59

Now, we need to know how much greater the mass of the third rock is than the combined mass of the other two rocks. That means subtraction.

46.3 - 44.59 = 1.71

Your answer is 1.71.

ANSWERED AT 14/12/2019 - 05:07 PM


QUESTION POSTED AT 14/12/2019 - 05:07 PM

39= 3m - 12 I'd really appreciate it if you showed your work.

Flip the equation.
3m-12=39
and add 12 to both sides.
3m-12+12=39+12
3m=51
Now divide both sides by 3.
 \frac{3m}{3} = \frac{51}{3}


Final answer: m=17

ANSWERED AT 14/12/2019 - 05:05 PM


QUESTION POSTED AT 14/12/2019 - 05:05 PM

Explain why all of the graphs in this lesson show the first quadrant but omit the other three quadrants


It must have something to do with the main subject of the lesson,
or with all the graphs that come up in the process of the lesson.
It's hard to tell without knowing SOMETHING about the lesson.

ANSWERED AT 14/12/2019 - 05:02 PM


QUESTION POSTED AT 14/12/2019 - 05:02 PM

Barb is making a bead necklace. she strings 1 white bead then 3 blue beads then 1 white bead and so on. write the numbers for the first 8 beads that are white. what is a rule for the pattern?

The first 8 white beads in the pattern is 8 white beads because 1+1+1+1+1+1+1+1=8. The pattern is 1 white, 3 blue, 1 white, 3 blue, and keep going on.= the same way.



Hope I helped:)

ANSWERED AT 14/12/2019 - 05:02 PM


QUESTION POSTED AT 14/12/2019 - 05:02 PM