A carpenter cut a board that was 10 feet long into two pieces. The longer piece is 2 feet longer than three times the length of the shorter piece. What is the length of each piece?

Answer:

help me please

Step-by-step explanation:

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Answer:

x=30 ; y=60 ; z=120.

Step-by-step explanation:

(we can solve it in a system.)

z+2x=180 => z=180-2x
y+4x=180 => y=180-4x

y+z=180

4x+2x=180 => 6x=180 => x=30

<=>

z=180-2*x=180-2*30=180-60=120

y=180-4x =180-4*30=180-120=60

Answer:

2 miles

Step-by-step explanation:

O.5 + 0.5 + 0.5 + 0.5 = 2

Easy! :)

Answer:

I think you suppose to take 0.5 x 4 because it 4 days, so the answer might be 2 miles.

Answer:

4 mph

Step-by-step explanation:

If you divided 32 by 8 you get 4.

Answer:

Polygon B

Step-by-step explanation:

If you look at polygon B although it looks bigger it's still the same as A

Step-by-step explanation:

The percent of the cost of the printer Carl paid is 16.45%

Since John, Carl and Jason each paid $15, $25, and $112 respectively, the total cost of the printer is T = $15 + $25 + $112 = $152

Since Carl paid $25, we need to find the percent of the total amount Carl paid.

So, percent Carl paid = amount Carl paid/total cost × 100 %

Since amount Carl paid = $25 and total cost = $152,

Substituting the values of the variables into the equation, we have

percent Carl paid = amount Carl paid/total cost × 100 %

percent Carl paid = $25/$152 × 100 %

percent Carl paid = 0.1645 × 100 %

percent Carl paid = 16.45%

The percent of the cost of the printer Carl paid is 16.45%

Learn more about percent here:

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Answer:

A

Step-by-step explanation:

hope this helps :)

Step-by-step explanation:

there are 2 variables in one equation, and none of the variables can be eliminated through simplification.

-19x + 3y - 4 = 3

-19x + 3y = 7

so, there will be infinitely many solutions.

Answer:

B

Step-by-step explanation:

If you did 1925 divided by 142.45 you get 13.51 so if you round it you get 14

Answer:

So estimate.

Really depends on what needs to be estimated, the answer or the overall equation.
So doing the real one first.
283/11 = 25 8/11

You can’t have “part” of a student so rounding this you can go up since 8 is more then half of 11

So 26 students

If you were to round the overall equation then you’d get
280 / 10 which is 28 students per class

So two options.

Answer:

Bank A

interest = 1500*2*0.18= 540$

total owed = 1500+540= 2040$

Bank B

compound interest= 1881.6

total owed = 1500+1881.6= 3381.6$

Step-by-step explanation:

Answer:

The equation is linear. (-1, 5), (0, 3), (1, 1), (2, -1)

Answer:

See below

Step-by-step explanation:

1. 12

2. 15   [3*12-21 = 15]

3. 24  [3*15-21 = 24]

4. 51   [3*24 - 21 = 51]

Answer

well first u put it as 2/2 which is 2 then you have to times it by 69 which is 138 then divide that by 6.5 which is 21

Step-by-step explanation:

actual answer is 4 if you were serious about this

Answer: 4

Step-by-step explanation:

Use your hands:

2 on one hand

2 on the other hand

Put them together which is 4

Step-by-step explanation:

2 equations with 2 variables.

either we use 1 equation to express 1 variable by the other and bring this into the second equation to solve for the second variable.

or we do equation arithmetic (subtract one equation from the other so that one variable disorders in the result, and solve for the remaining variable).

since the factors and constants don't seem to be multiples or share nice factors with each other, I suggest the second way.

7x - 4y = 37

6x + 3y = 51

multiply the first equating by 3, and the second one by 4, and then add both equations :

21x - 12y = 111

24x + 12y = 204

------------------------------

45x + 0 = 315

x = 7

then we use one of the original equations to get y :

7×7 - 4y = 37

49 - 4y = 37

12 = 4y

y = 3

Answer:

C

= (-1.75,9)

Step-by-step explanation:

Answer:

l²

Step-by-step explanation:

......................

[tex]\text{Area}=\text{side}\times\text{side}=\text{side}^2[/tex]

Answer:

1

Step-by-step explanation:

sin0 + cos90 + cot45

0 + 0 + 1

= 1

Answer:

Pi×7^2=49pi

Area of square 56+140=196

Shaded area is 196-49pi=42.1cm^2

Step-by-step explanation:

1) the suggested function in the condition is hyperbola, that means

[tex]w_{min}(x)=w_{min}(x_{max}) \ and \ w_{max}(x)=w_{max}(x_{min});[/tex]

2) using this

[tex]w_{min}(x)=w_{min}(\frac{1}{7} )=7;[/tex]

[tex]w_{max}(x)=w_{max}(\frac{1}{12})=12.[/tex]

Answer:

so list a is 4 +4y is = 4y-4

4y+1 =5= 1+4y=5

4(y-1)=4(y+1)

Step-by-step explanation:

Answer:

List A: 4+4y=24

4(y-1)=16

4y+1=21

List B: 4y-4=16

4(y+1)=24

1+4y=21

so match 1A with 2B

2A and 1B

3A and 3B

Answer:

x=\frac{64}{5}=12\frac{4}{5}

Step-by-step explanation:

1. Simplify the expression

\frac{-1}{4}\cdot\left(x+\frac{12}{3}\right)=\frac{+\left(-21\right)}{5}

Find the greatest common factor of the numerator and denominator:

\frac{-1}{4}\cdot\left(x+\frac{\left(4\cdot3\right)}{\left(1\cdot3\right)}\right)=\frac{+\left(-21\right)}{5}

Factor out and cancel the greatest common factor:

\frac{-1}{4}\cdot\left(x+4\right)=\frac{+\left(-21\right)}{5}

Multiply the fractions:

\frac{\left(-1\cdot\left(x+4\right)\right)}{4}=\frac{+\left(-21\right)}{5}

Expand the parentheses:

\frac{\left(-x-4\right)}{4}=\frac{+\left(-21\right)}{5}

Break up the fraction:

\frac{-x}{4}+\frac{-4}{4}=\frac{+\left(-21\right)}{5}

Find the greatest common factor of the numerator and denominator:

\frac{-x}{4}+\frac{\left(-1\cdot4\right)}{\left(1\cdot4\right)}=\frac{+\left(-21\right)}{5}

Factor out and cancel the greatest common factor:

\frac{-x}{4}-1=\frac{+\left(-21\right)}{5}

Answer:

The answer is x= 7 2/15. So the third one.

Step-by-step explanation:

Hopefully, this was helpful. :)

For the box plot of Sam, the data is symmetric and shows that half of the assignments contained 15 problems or fewer.

Box plot is the way of representation of data which gives the graphical image of the data set to understand better.

The minimum and the maximum values in the box plot is plotted at the end points.

For the box plot which Sam used to keep the track,

For the given box plot the data is symmetric, and the medium of the box plot is 15. Thus, the half of the math assignment have less than 15 problem and half of them has more than 15 problems.

Thus, for the box plot of Sam, option A is correct which is, the data is symmetric and shows that half of the assignments contained 15 problems or fewer.

Learn more about the box plot here;

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Answer:

A

Step-by-step explanation:

The data is symmetric and shows that half of the assignments contained 15 problems or fewer.

Answer:

Azda has a better value

Step-by-step explanation:

Tisco: 4 x 1.56 = £6.24 x 3 = 18.72

Azda: 3 x 1.14 = 3.42 x 4 = 13.68

Answer:

The area of a rectangle is 17 1/2 in and it’s shorter side is 3 1/2in.draw a diagram that shows this information. What is the length of the longer side

Step-by-step explanation: