1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Angelina_Jolie [31]
3 years ago
14

A boy purchased(bought) a party length sandwich 59 in long. He wants to cut it into three pieces so that the middle piece is 6in

. Longer than the shortest piece and the shortest piece is 8in. Shorter than the longest piece. How long should the three pieces be?
Mathematics
1 answer:
Leviafan [203]3 years ago
8 0
Ok so let's start with what we know- the shortest piece is 8 inches so there's one length... then the middle piece is 6 inches longer than the shortest (6+ 8) so the middle piece would be 14 inches long. To find the last piece we can add up the other two pieces we know (14+8) which would be 22 and subtract that from how long the whole sandwich is (59-22) which would be 37 inches long. So in the end he shortest piece would be 8 inches, the middle 14 inches and the longest 37 inches.
You might be interested in
2. In what ratio does the point (5, 4) divide the given line joining the points (2,1) and (7,6)​
Darya [45]

Answer:

3/2

Step-by-step explanation:

Let it be

C (5;4) , A (2;1) ; B(7;6)

Suppose that C divide the line AB in ratio m/n from point A (AC is m, CB is n)

Use the formula xc=(m*xb+n*xa)/ (m+n)

5=(m*7+2n)/(m+n)

5m+5n= 7m+2n

2m=3n

m/n=3/2

5 0
3 years ago
A pile of earth removed from an excavation is a cone measuring 6ft high and 30ft across its base. How many trips will it take to
nignag [31]

Answer: 14

Step-by-step explanation:

Given

Excavation cone measures

height h=6\ ft

Diameter d=30\ ft

Truck can dump 125\ ft^3 at a time

The volume of a cone is

V=\dfrac{1}{3}\pi r^2h

Putting values

\Rightarrow V=\dfrac{1}{3}\times \pi\times 15^2\times 6\\\Rightarrow V=1413.9\approx 1414\ ft^3

No of trips(N) required to accumulate this much volume is given by

\Rightarrow N=\dfrac{1414}{125}=13.3\approx 14

Therefore, 14 trips are necessary to accumulate a cone of volume 1414\ ft^3

8 0
3 years ago
Part of the proceeds from a garage sale was $470 worth of $10 and $20 bills. If there were 14 more $10 bills than $20 bills, fin
Brums [2.3K]

There are 25 $10 bills and 11 $20 bills.

Step-by-step explanation:

Given,

Worth of proceeds from garage = $470

Let,

x be the number of $10 bills

y be the number of $20 bills.

According to given situation;

10x+20y=470       Eqn 1

x = y+14                Eqn 2

Putting value of x from Eqn 2 in Eqn 1

10(y+14)+20y=470\\10y+140+20y=470\\30y=470-140\\30y=330

Dividing both sides by 30

\frac{30y}{30}=\frac{330}{30}\\y=11

Putting y=11 in Eqn 2

x=11+14\\x=25

There are 25 $10 bills and 11 $20 bills.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/1279756
  • brainly.com/question/1284310

#LearnwithBrainly

5 0
3 years ago
Susan is 4 years older than kylie. Paige is one less than four times Kylies age. The combined age of the three girls is 33. How
Zina [86]
Kylie is 5, Susan is 9, and Paige is 19
5 0
4 years ago
Read 2 more answers
Prove that the sum of ab and ba is divisible by the sum of a and b
Likurg_2 [28]

Answer:

It is divisible by 11 and (a + b) !

Step-by-step explanation:

Given a two digit number $ ab $, the digits written in reverse order is $ba $.

Note that a two digit number ab  = 10a + b.

For example: 24 = 10(2) + 4

Similarly, ba = 10(b) + a

Now, the sum of the numbers ab and ba = 10a + b + 10b + a

= 11a + 11b

= 11(a + b)

Hence, the sum of any two digit number ab and the reverse of the number ba,  is divisible by 11 and (a + b).

Hence, proved.

5 0
3 years ago
Other questions:
  • Question 3
    6·1 answer
  • Answer this question…………
    15·2 answers
  • What does 21÷3+(3×9)×9+5 equal? show work below plz
    5·2 answers
  • Last week, Thomas ran 4 miles. This week, he plans to run 1/2 as far as he ran last week. How many miles does Thomas plan to run
    9·2 answers
  • Lois is four times as old as her son Don. The sum of their ages is 40. How old is Don?
    5·2 answers
  • If there are 15 cats in the apartment complex how many dogs are there?
    13·2 answers
  • Please I need 1,2, and 4
    6·1 answer
  • Last questions on this quiz (I always get confused on finding the x value)
    7·1 answer
  • 13. What is the measure of ZQPU?<br> T<br> P<br> 70°<br> S<br> R
    7·1 answer
  • Please help me
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!