Mathematics Middle School

Jared has a wooden board that is 11 ft long. He wants to cut it into two pieces so that the longer piece is 4 ft less than 4 times the length of the shorter piece.

How long will each piece of board be?

Enter your answers in the boxes.

Shorter piece:

ft

Longer piece:
ft

Answers

Answer 1
3 and 8 goodluck!!!!!!
Answer 2

Answer:

The shorter piece is 3-ft long and the long piece is 8-ft long

Hope this helped you!!

I took the the the test on K12 and it was right I got 100%

;^D


Related Questions

how many bracelets can she make in 3.5 hours

Answers

Answer is B. 10.5. Hope this helps! :)
Look at the graph.
If you go to x = 2, you see y = 6.
x is the independent variable and represents the number of hours she works.
Now go up from x = 2 on the x-axis until you reach the line. At that point, y = 6. y is the dependent variable and shows how many bracelets she makes.
She makes 6 bracelets in 2 hours.
If you divide the number of bracelets by the number of hours, you get the unit rate of bracelets per hour.

6 bracelets / 2 hours = 3 bracelets/hour

Now multiply the unit rate by 3.5 hours

3 bracelets / hour * 3.5 hours = 10.5 bracelets.

In 3.5 hours, she makes 10.5 bracelets.

A cookie recipe that yields 48 cookies calls for 2 cups of flour a different cookie recipe that yields 60 cookies calls for 30 cups of flour are these rates equivalent explain your reasoning can someone please help me ASAP

Answers

48 over 2= 24 over 1
60 over 3= 20 over 1 
no the rates are not equivalent.

the diameter of a u.s penny is 3/4 inch.how many pennies would it take to make a row 42 inches long

Answers

42 divided by 3/4 equals 56 pennies

mark me as brainliest please and thank you
i think is 56 pennies.

A pancake recipe calls for 4 cups of flour and 3 cups milk.does the recipe calling for 2 cups flour and 1.5 cup milk use the same ratio of flour to milk

Answers

yes because if you take 4:3 it equals out to be 2:1.5

A box of crackers costs 0.26 .if the box contains 10 ounces , what is the cost of the box of crackers

Answers

What we know:
.26 per ounce of crackers
1 box=10ounces

Waht we need to find:
Cost of box= $2.60

.26×10=2.60
The answer is $2.60
That is how much the box is

A group consisted of two girls for every boy. 24 more girls joined the group. there are now five girls for every boy. how many boys are in the group?

Answers

I think it's 4 1/2 because 5×4 equals 20

sir wash his cars at the carwash she makes $8 25 per hour and $30 in tips per day give an expression that Sarah could use to calculate her daily earnings A$8 25x + $30 B $8 25 + $30 C $8 25 - $30 D $8.25 + $30x

Answers

x = hours worked so her hourly pay would be 8.25x

then you add 30 in tips

 so it would be 8.25x+30

 Answer is A

Given: {An}=nn+1

Compute a3

Answers

You really meant to type a_3.

a_3 = nn + 1

Replace every n with 3 and do the math.

a_3 = (3)(3) + 1

a_3 = 9 + 1

a_3 = 10

Write an expression with four terms. Include at least one term with an exponent, one term with a coefficient of 5, one term with three factors, and one constant. Make two of the terms like terms.

Answers

An algebraic expression is looking something like this: 8x³ + 5
This expression has two terms; 8x³ and 5
The value of '8' in 8x³ is called COEFFICIENT
The value of '3' in 8x³ is called POWER or INDICES
The term 8x³ is called  an exponent because it has power/indices
The letter 'x' in the term 8x³ is called VARIABLE

So, we want an expression with four terms
_____ ⁺/₋ _____ ⁺/₋ _____ ⁺/₋ _____

One term with an exponent ⇒ You can choose any letter and any power that will go with it, for example, 6x⁴

One term with a coefficient of 5 ⇒ 5x⁴

One term with three factors ⇒ This could be a combination of any three letters that represent three values for example 'abc'. This term means a × b × c, so it has three factors.

One constant ⇒ Choose any number, say 45

Make two of the terms like terms ⇒ We have 6x⁴ + 5x⁴; these two terms are alike, they are in term of x⁴

Putting the four terms together: 6x⁴ + 5x⁴ + abc + 45



Plot the x- and y-intercepts to graph the equation. y=1/3x−1.


Answers

To find the x-intercept, substitute in y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept= (3,0)
y-intercept= (0,-1)

Answer:

The graph of given equation is shown below.

x-intercept is 3 and y-intercept is -1.

Step-by-step explanation:

The given function is

[tex]f(x)=\frac{1}{3}x-1[/tex]

We need to draw the graph of given equation.

At x=0,

[tex]f(0)=\frac{1}{3}(0)-1=-1[/tex]

So, y-intercept is -1.

Equate f(x)=0 to find x-intercept.

[tex]\frac{1}{3}x-1=0[/tex]

[tex]\frac{1}{3}x=1[/tex]

Multiply both sides by 3.

[tex]x=3[/tex]

So, x-intercept of the line is 3.

Plot these two points (0,-1) and (3,0) on coordinate plane and connect them by a straight line.

10 peaple can paint a room in 5 days. if each person paints as quickly as the others then how much of the building could 7 paint in 5 days?

Answers

70% of the room could be painted
7 people is 70% of 10 people.
If 10 people can paint the room in 5 days, then 7 people can paint 70% of the room in 5 days.

Kendrick adds 3/4cup of chicken stock to a pot. Then he takes 3/4 cup of stock out of the pot. What is the overall increase or decrease in the amount of chicken stock in the pot?

Answers

the over all increase is 3/4 the decrease is 3/4 so the answer would be 0 stock in a pot

There is no net change in the amount of chicken stock in the pot.

To determine the overall change in the amount of chicken stock, we need to compare the amount added to the amount removed. Kendrick adds 3/4 cup of chicken stock to the pot, and then he takes out 3/4 cup of chicken stock from the pot.

Using a simple calculation:

Initial stock added: 3/4 cupStock removed: 3/4 cupOverall change = 3/4 cup - 3/4 cup = 0 cups

Therefore, the overall increase or decrease in the amount of chicken stock in the pot is zero. There is no net change in the amount of chicken stock in the pot.

Jennifer can paddle a certain distance with the current in 2.5 hr. To cover the same distance against the current, she takes 5 hr. How many times faster is her rate of paddling in still water than the speed of the current?

Answers

the answer would be 2 times faster

The rate of paddling in still water is 3 times than the speed of the current.

What is Speed?

The formula for the speed is calculated as;

Speed = Distance / Time

Given that;

Jennifer can paddle a certain distance with the current in 2.5 hr.

And, To cover the same distance against the current, she takes 5 hr.

Let distance be D , speed is S and the current speed will be C.

The we can formulate two conditions as;

(S + C) × 2.5 = D  .... (I)

And, (S - C) × 5 = D  .... (II)

Solve equation (i) and (ii) we get;

S = 3C

Thus, we can say that;

The rate of paddling in still water is 3 times than the speed of the current.

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The figure below shows a shaded rectangular region inside a large rectangle:

A rectangle of length 10 units and width 5 units is shown. Inside this rectangle is another rectangle of length 6 units and width 3 units placed symmetrically inside the larger rectangle. The smaller rectangle is shaded gray.

What is the probability that a point chosen inside the large rectangle is not in the shaded region?

Answers:
18%
36%
42%
64%

Answers

The answer to your question is 64. 

Answer:

64

Step-by-step explanation:

At 6:00 A.M. the temperature was 33°F. By noon the temperature had increased by 10°F and by 3:00 P.M. it had increased another 12°F. If at 10:00 P.M. the temperature had decreased by 15°F, how much does the temperature need to rise or fall to return to the original temperature of 33°F?
A) Fall 7°F

B) Rise 7°F

C) Fall 3°F

D) Rise 3°F

Answers

So at 6:00 a.m. the temperature is 33 F
12:00 p.m. the temperature increased by 10 F so it is 43 F
3:00 p.m. the temperature increased by another 12 F making it 55 F
At 10:00 p.m. it would decrease by 15 F making it 40 F.

The temperature would need to fall/decrease 7 F to reach the original temperature of 33 F so it would be A.

Hope this helps!
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What is the quotient of b3+4b2-3b+126/b+7?

A. b² + 11b + 80 R276
B. b² − 11b + 38 R140
C. b² − 3b + 18 R252
D. b² − 3b + 18

Answers

Let's try the one answer with no remainder: (b² - 3b + 18)
If this is the answer, then, when multiplied by b+7, we should get 
b³+4b²-3b+126
(b+7) (b² - 3b + 18)                                         Distribute
= b³ - 3b² + 18b + 7b² - 21b + 126                  Collect like terms
= b³ + 4b²-3b + 126                 
This number perfectly matches the numerator in the first term! 

Therefore, the answer is D) b² − 3b + 18

If Bella runs 40% as fast as Thomas and 35% as fast as tam what percent faster than Thomas is tam

Answers

I think you multiply 40 by35

Tabitha's hiking distance in july was 2 1/6 She write the distance as 2/16 miles. What error did she make?

Answers

The error Tabitha made was adding 2 into the fraction without making it an improper fraction. Since she put it as 2/16 that is equivalent to 0.125 miles, when she really hiked 2 1/6 (2.166666...)

find the equation of the normal of the curve at the given points :D thankiewss

Answers

We want to find the equation of the normal line of [tex]y=\dfrac{20-x}{3x}[/tex] at the point [tex]P=(x_0,y_0)[/tex], where [tex]y_0=3[/tex]. First calculate [tex]x_0[/tex]. We have:

[tex]y_0=f(x_0)=\dfrac{20-x_0}{3x_0}\\\\\\3=\dfrac{20-x_0}{3x_0}\quad|\cdot3x_0\\\\\\3\cdot3x_0=20-x_0\\\\9x_0=20-x_0\\\\9x_0+x_0=20\\\\10x_0=20\quad|:2\\\\\boxed{x_0=2}[/tex]

Now, when we know that [tex]P=(x_0,y_0)=(2,3)[/tex] we can write an equation of the normal line as:

[tex]\boxed{y-y_0=-\dfrac{1}{f'(x_0)}(x-x_0)}[/tex]

Calculate [tex]f'(x_0)[/tex]:

[tex]f'(x)=\left(\dfrac{20-x}{3x}\right)'=\left(\dfrac{20}{3x}\right)'-\left(\dfrac{x}{3x}\right)'=\dfrac{20}{3}\cdot\left(\dfrac{1}{x}\right)'-\left(\dfrac{1}{3}\right)'=\\\\\\=\dfrac{20}{3}\cdot\left(-\dfrac{1}{x^2}\right)-0=\boxed{-\dfrac{20}{3x^2}}\\\\\\\\f'(x_0)=f'(2)=-\dfrac{20}{3\cdot2^2}=-\dfrac{20}{3\cdot4}=-\dfrac{20}{12}=\boxed{-\frac{5}{3}}[/tex]

and the equation of the normal line:

[tex]y-y_0=-\dfrac{1}{f'(x_0)}(x-x_0)\\\\\\y-3=-\dfrac{1}{-\frac{5}{3}}(x-2)\\\\\\y-3=\dfrac{3}{5}(x-2)\\\\\\y-3=\dfrac{3}{5}x-\dfrac{6}{5}\\\\\\y=\dfrac{3}{5}x-\dfrac{6}{5}+3\\\\\\\boxed{y=\dfrac{3}{5}x+\dfrac{9}{5}}[/tex]

Cody saves all his nickles. Today he is getting them out of his piggy bank and wrapping them to take to the bank. He finds he has 360 nickels. It takes 40 Nicole's to fill each paper wrapper and make a roll. How many wrappers does he need?

Part A

Write an equation using n for the unknown number. Find the number of wrappers needed.

___ x ____ = _____

Answers

The answer is 9 wrappers :)
40x=360
Which means he needs 9 wrappers

What are the answers to 1 5 3 and 6 really aprreciate it!

Answers

1. y=3/4x-3    (just from a triangle from one point on the line to anotheron the line where both end at a point.
2. y=5/1x which is also y=5x    (basically subtract y^2-y^1/ x^2-x^1 ex. -2--7/5-4
3.y=2/3x-1/2
4.-3/-1 which is two negatives dividing which makes it positive. y=3x
5.cant see
6. Find slope first. y=3x then use point (1,1) move one left and 3 down. and the y intercept would be -2

jacob bought some tickets to see his favorite singer. He bought some adult tickets and some children's tickets, for a total of 9 tickets. The adult tickets cost $10 per ticket, and the children's tickets cost $8 per ticket. If he spent a total of $76, then how many adult and children's tickets did he buy ?

Answers

6 adult tickets and 2 children’s tickets !

Final answer:

Jacob bought 2 adult tickets and 7 children's tickets to see his favorite singer, spending a total of $76 for 9 tickets with adult tickets costing $10 each and children's tickets $8 each.

Explanation:

Jacob bought a total of 9 tickets, consisting of adult tickets and children's tickets. Adult tickets cost $10 each while children's tickets cost $8 each, and Jacob spent a total of $76 on tickets. To find out the number of adult and children's tickets he bought, we can set up a system of equations:

Let the number of adult tickets be represented by a and the number of children's tickets be represented by c. We are given two pieces of information:

Jacob bought 9 tickets in total: a + c = 9The total amount spent was $76: 10a + 8c = 76

We can solve the system of equations by substitution or elimination. If we rearrange the first equation (a + c = 9) to get a = 9 - c, we can substitute this into the second equation 10a + 8c = 76:

10(9 - c) + 8c = 7690 - 10c + 8c = 7690 - 2c = 762c = 14c = 7

Now that we have the value for c, we can find a:

a = 9 - ca = 9 - 7a = 2

Jacob bought 2 adult tickets and 7 children's tickets.

Marie mixes 16 liters of 78% acid solution with a 25% acid solution to make a 41% acid solution. How many liters of 25% solution did she use? 8 liters 12 liters 13.7 liters 37 liters

Answers

16 liters x 0.78 = 12.48 liters

0.25x +12.48 = 0.41(16+x)

0.25x+12.48 = 6.56 +0.41x

5.92 = 0.16x

x = 5.92/0.16 = 37 liters


What is the slope of the line passing through the points (-1,3) and (4,-7)?
A. 2
B. -2
C. 3/4
D. - 4/3

Answers

Answer:

B) -2

Step-by-step explanation:

-7-3/ 4+1= -10/5 = -2


The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-1, 3) and (4, -7). Substitute:

[tex]m=\dfrac{-7-3}{4-(-1)}=\dfrac{-10}{5}=\boxed{-2}\to\boxed{B.}[/tex]

find y when x= 115 if y=10 when x=130

Answers

what is the equation

PLEASE HELP ASAP!

Which of the following does not represent a function?

the first one on the left is A and the last one on the right is D

Answers

C is the answer to it
C, because a slope be curved or straight .

of the 460 visitors on saturday 54/100 of them stayed until the park closed about how many visitors stayed the park closed?

Answers

i believe your answer would be about 248 visitors.

Hope this was helpful 
460*(54/100)=
460*.54=
248.4 (can't have half a person so...)
248

the area of australia is 2.95 x 10^6 square miles. what's the approximate average number of people per square mile in Australia?

Answers

Its approximately 7 people per square mile
Final answer:

The approximate average number of people per square mile in Australia is approximately 8.47.

Explanation:

To find the approximate average number of people per square mile in Australia, we can divide the total population of Australia by the area in square miles. According to the Australian Bureau of Statistics, the population of Australia is approximately 25 million. To calculate the average number of people per square mile, we can divide 25 million by 2.95 x 10^6:

Average number of people per square mile = 25,000,000 / 2.95 x 10^6

Simplifying this expression, we get:

Average number of people per square mile ≈ 8.47

Therefore, the approximate average number of people per square mile in Australia is approximately 8.47.

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35+-20+-5 What is the answer?? Worth 10pts...


Answers

[tex]35 + - 20 + - 5[/tex]

If two signs are different they make a negative, if two signs are the same, they make a positive:

[tex]35 - 20 - 5[/tex]
[tex]10[/tex]

Hope this helps!

A pitcher holds 8 and one half cups of orange juice and I pour all of the juice evenly into six different glasses. How many cups of juice will there be in each glass?

Answers

So basically, this is unit rates....All you have to do is divide the 8.5 cups, by 6 different glasses. Your solution is 1.41 or 1.4 cups in each glass
Divide 8.5 cups by 6:

8.5
--- = 1.41 cups in each glass.
 6

This could also be expressed as 1 5/12 cups in each glass.
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