Liam cuts a 48-inch piece of string into two pieces. One piece is 12 inches longer than the other. If s represents the length of the shorter string, which diagram best represents this scenario?

Answers

Answer 1

The length of the shorter string is 18 inch while that of the longer string is 30 inch.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let s represent the length of the shorter string.

One piece is 12 inches longer than the other

Length of longer string = s + 12

Since a 48-inch piece of string is cut into two pieces. Hence:

s + (s + 12) = 48

2s + 12 = 48

2s = 36

s = 18

Length of longer string = 18 + 12 = 30

The length of the shorter string is 18 inch while that of the longer string is 30 inch.

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Related Questions

what is 2 3/15 roumded to the nearest half

Answers

Answer:

It is 7 whole

Step-by-step explanation:

3/15 is 5 without anything left plus the 3 is 7

half of the sum of six and three then divided by 7

Answers

Answer:

45/70

Step-by-step explanation:

easy though thats it

half of 6 is 3, half of 3 is 1.5 1.5 divided by 7 is 0.2142 and 3 divided by 7 is 0.4285

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6830 and his stock in Company B was worth $2600. The stock in Company A has increased 20% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Answers

Step-by-step explanation:

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6830 and his stock in Company B was worth $2600. The stock in Company A has increased 20% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

are the fractions 4/5 and 8/12 equality

Answers

Answer:

NO because 5 doesn't have any factors of 12 but only 4 has a factor of 8. So 4/5 would be greater but no they would not be equal

Step-by-step explanation:

Please answer this, thank you so much

Answers

Answer:

second one

Step-by-step explanation:

Notice that there's a y intercept of 2 and an x intercept of -4

This means that the line has a positive slope of 1/2, which leaves us with

y<(1/2)x+2

How can areas of composite 2-D figures be found using simple 2-D shapes?

Answers

Answer:

hmm length x breadth... I'd simple formula

PLz HELP ME NOW AND I WILL MARK U BRAINLIEST

Answers

Answer:

56

Step-by-step explanation:

cross multiply

0.06z - 0.36 = 3

0.06z = 3.36

z = 56

write an expression that shows 9 less than the product of 11 and 3.5

Answers

try this for answer (11×3.5)-9=x

at euclid school, there are 14 female teachers and 11 male teachers, what fraction of the teachers are male

Answers

✍ Question:

at euclid school, there are 14 female teachers and 11 male teachers, what fraction of the teachers are male

✍ Answer:

>> The total number of teachers in school would be

14 + 11 = 25

>> Thus, the fraction of male teachers in school would be;

11/25

#CarryOnLearning

- Happy Holidays! -

The required fraction of male teachers in teachers is 11/25.

What is the fraction?

Fraction is defined as the number of compositions that constitutes the Whole.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Total number of teachers = female + male
                                       = 14 + 11 = 25 teachers

Fraction of male teachers = male teachers / teachers = 11 / 25

Thus, the required fraction of male teachers in teachers is 11/25.

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The ordered pair (-3,9) is in the _______ Quadrant

Answers

Answer:

It would be located in the second quadrant

Step-by-step explanation:

The reason for this is because the x is a negative and the y is positive.

Number 8 Please!!!!!
Thank You!!!

Answers

Answer:

x = 2 + 5i√2 / 6 and x = 2 - 5i√2 / 6

Step-by-step explanation:

If this isn't right, I'm sorry. Also, you can put x = 2 ± 5i√2 /6 to make it shorter and not have two answers. Hope this helps :)

HELp PLeaSE ‼️‼️URGENT

Find the equation of the line of best fit for the points (-4, 10).(-1, 5), (2, -1) (3, (5, --- 7). O
A. y = -2x + 2
B. y = 2x - 2
C. y = 2x - 0.98
D. y = -2x - 0.98

THANKS ^_^ ! ! !

Answers

I think it's B ( I might be wrong)

2. A bakery makes muffins and cookies. Muffins are sold 18 to a box and cookies are sold 25 to a bag. They do not sell individual muffins or cookies. (a) On Saturday, the bakery made 1020 muffins. How many full boxes did the bakery use for the muffins they plan to sell on Saturday? Show your work. (b) On Monday, the bakery made 2820 cookies. How many full bags did the bakery use for the cookies they plan to sell on Monday? Show your work. (c) Look at your work from Part (a) and (b). What do the remainders represent in each problem?

Answers

a) if 18 muffins = 1 box,
1020 muffins = 1020/18 boxes
= 56.67 boxes

So they used 56 full boxes.

b) if 25 cookies = 1 bag
2820 cookies = 2820/25 bags
= 112.8 bags

So they used 112 full bags.

c) the remainders from a and b represent muffins and cookies left over.

Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 8 liters of natural oil for every 5 liters of synthetic oil.
In order to make 1196 liters of Petrolyn oil, how many liters of natural oil are needed?

Answers

Answer:

it would need 40 liters of natural oil

8x5=40

11. Select the proper order from least to greatest for 2/3, 7/6, 1/8, 9/10.
O A.1/8, 2/3, 9/10, 7/6
O B.2/3, 9/10, 7/6, 1/8
O C.7/6,9/10, 2/3, 1/8
O D. 1/8, 9/10, 7/6, 2/3

Answers

Step-by-step explanation:

Option A is the correct answer

Answer:

A is correct

Step-by-step explanation:

[tex]\frac{1}{8}[/tex] is 0.125

[tex]\frac{2}{3}[/tex] is 0.667

[tex]\frac{9}{10}[/tex] is 0.9

[tex]\frac{7}{6}[/tex] is 1.167

which from this you can see that A represents the order from smallest to largest

Answer plzzz!!!!!!!!!!!

Answers

Answer:

110

Step-by-step explanation:

Know the angle for BCD which is 130.

Subtract 180 from 130 and you get angle c for the triangle which is 50

Already knowing B and C, add them both which comes up to 70

All triangle angles equal 180 so subtract 70 for 180 and you get 110


Ignore the blue circles but please help solve! PLSS

Answers

Answer:

y = 47, -25 , 15 , -33 -9

Step-by-step explanation:

You have to plug the x variables into your equation, then solve for y.

Brainliest would be appreciated! :-)

47
-25
15
-33
-9
Hope this helps!

After the math contest, Basil noticed that there were four extra-large pizzas that were left untouched. In addition, another three slices of pizza were uneaten. If there were a total of 51 slices of pizza left, how many slices does an extra-large pizza have

Answers

s = number of slices for a large pizza

so if "s" is the number of slices in 1 large pizza, the total for 1 pizza will just be 1s, for two pizzas will be 2s and so on, so for 4 pizzas the total will just be 4s.

we also know there were an extra 3 slices, and we also know that whatever 4s is plus 3 will give us the total of 51 slices of pizza.

[tex]4s + 3 = 51\implies 4s = 48\implies s = \cfrac{48}{4}\implies \boxed{s = 12}[/tex]

Which pair of fractions in not equivalent fractions? Please answer it’s a test

Answers

Answer:

7/8 , 5/6

Explanation:

7/8 , 5/6 are the only fractions that are not equivalent fractions as when they are simplified they don't share the same fraction. Hope this helps.

Pls help I’ll brainlest I’m failing

Answers

It’s actually the closet points or box it’s 3/1 or you can put three

Step-by-step explanation:

why ? you have started it correctly already, as I can see by the margins you made on the graph.

you analyzed the problem correctly, approached the solution correctly and gathered all necessary data.

so, I am not sure, what your problem is.

if you don't know what a slope is, then I don't understand why you did what you did so far.

the slope is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

for these 2 points you marked, you also showed that

x changes by +2 (from 2 to 4).

y changes by +6 (from -4 to 2).

so, the slope is +6/+2 = 3.

that's it. that is all to it.

please help me ill mark as brainliest and its worth 50

Answers

Answer:

C    [tex] \dfrac{9a^{12}}{b^3} [/tex]

Step-by-step explanation:

54/6 = 9

a^8 / a^-4 = a^{8 - (-4)} = a^12

b^2 / b^5 = b^-3 = 1/b^3

Answer:  C    [tex] \dfrac{9a^{12}}{b^3} [/tex]

Answer:

Option C

Step-by-step explanation:

[tex] \sf \dfrac{54 {a}^{8} {b}^{2} }{6 {a}^{ - 4} {b}^{5} } [/tex]

We know that

[tex] \sf \: \frac{ {a}^{m} }{a {}^{n} } = a {}^{m - n} [/tex]

[tex] \sf 9 \dfrac{a {}^{8} {b}^{2} }{ {a}^{ - 4} {b}^{5} } [/tex]

[tex] \sf \: 9 \dfrac{ {a}^{8 - ( - 4)} b {}^{(2 - 5)} }{1} [/tex]

[tex] \sf \: 9 \dfrac{ {a}^{12}b {}^{ - 3} }{1} [/tex]

[tex] \sf \: \dfrac{9 {a}^{12} }{ {b}^{3} } [/tex]

I’m confused with this question I need helppp please

Answers

It's the first one

I hope this help :)

Answer:

B. I and II

More Information:

Function :

A special relationship where each input has a single output.

The present year is 2014. Which year comes AFTER THE NEXT 3 years?

Answers

The answer to this question is 2017

Answer:

2017 Pls mark me as a brainliest I really need it

A person requests an immediate bank overdraft of $2000. The
bank generously agrees to this but insists that it should be repaid
by 12 monthly instalments and charges 1% interest every month
on the outstanding debt. Determine the monthly repayment

Answers

I think that the answer would be $186.67. My reasoning is 1% of $2000 is $20. Installments of 12 months. Take 2000/12 plus the interest of 1% ($20) you get 186.66 repeating however rounding would make it 186.67.

The monthly repayment for the given principal and rate of interest is $168.3.

Given that, a person requests an immediate bank overdraft of $2000.

What is the rate of interest?

An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.

Here, P=$2000, T=12 months = 1 year and r=1%

Now, interest = (2000×1×1)/100

= 20

Total amount = 2020

So, monthly instalment = 2020/12

=$168.3

Therefore, the monthly repayment for the given principal and rate of interest is $168.3.

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Suppose that $ 700 is invested at 5.42% compounded continuously. How much is in the account after 18 years? Round your answer to the nearest cent. Write only a number as your answer. Do not write any units.

Answers

Answer:

Hello!

This word problem uses the common equation called; [tex]A=Pe^{rt}[/tex]

A = Pe^rt

P=700

e= e

r = 0.0542

t = 18

This is what you get when you plug in the according information.

700e^(0.0542*18)

700e^0.9756

=1856.9308

We need to put this into the nearest cent.

=1856.93

Have a great day!

I hope this helps you!

NO LINKS!!!!!

Describe the x-values for which (a) f is increasing or decreasing, (b) f(x)>0 and (c) f(x) < 0.

a. The function is increasing when _______ and __________ and decreasing when
__ < x < __.

b. The function is greater than zero when _______.

c. The function is less than zero when
___ < x < ____ and _____​

Answers

A: . The function is increasing when X<-1 and x>1 and decreasing when

-1 < x < 1.

B:The function is greater than zero when x>2

C: The function is less than zero when

-1 < x < 2 and X<-1

Cost 500 charge 25 per unit

Answers

Answer:

20 units

Step-by-step explanation:

Because it is 25 per unit, and 500, you can do 500/25=20

A small tree was planted at a height of 8 feet. The tree has been planted for 15 months, and is now 50 feet tall. Which equation could be used to find x, the average number of feet the tree grew each month?

Answers

Answer:

y=42/15x+8

Step-by-step explanation:

We can get the change in height with 50-8, or 42. Now we divide, so 42/15. I'm assuming this is a slope question, so it would be y=42/15x + 8. Let me know if this is the way you want the answer.

Answer:

x=8+(number of feet/number of months)

Step-by-step explanation:

Can the sum or multiplication of two palindromic numbers be another palindromic number?​

Answers

Answer: No.

Step-by-step explanation:

If you multiply 1001 by 1001 it's not another palindromic number.

whats -3u + 5 if u=2​

Answers

Answer:

-1

Step-by-step explanation:

-3(2) = -6 + 5 = -1

Answer:

-1

Step-by-step explanation:

-3u + 5 =?

when u=2

= -3(2) + 5

= -6 + 5

= -1

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