Kevin is making a picture frame. He has a piece of trim that is 3 feet long.

How many 14−inch-long pieces can Kevin cut from the trim?

How much of a foot will he have left over?

Kevin can cut______ 14−inch-long pieces with______ of a foot left over.

Answer:

138 cups of sugar

Step-by-step explanation:

23 cups for 1 batch times 6 batches equals 138.

23*6=138

Answer:

The area of LQM is [tex]48cm^2[/tex]

Step-by-step explanation:

Given

Area of PNQ = 8

Area of LPQ = 16

See attachment for triangles

The area of PNQ is calculated as:

[tex]Area = \frac{1}{2} * PQ * PN[/tex]

Substitute 8 for Area

[tex]8 = \frac{1}{2} * PQ * PN[/tex]

[tex]PQ * PN = 16[/tex]

The area of LPQ is calculated as:

[tex]Area = \frac{1}{2} * PQ * LP[/tex]

Substitute 16 for Area

[tex]16= \frac{1}{2} * PQ * LP[/tex]

From the attachment:

[tex]PN + LP =LN[/tex]

Make LP the subject

[tex]LP = LN -PN[/tex]

So:

[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex]

We have:

[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex] and [tex]PQ * PN = 16[/tex]

Equate both expressions:

[tex]\frac{1}{2} * PQ *(LN - PN) = PQ * PN[/tex]

Divide both sides by PQ

[tex]\frac{1}{2} (LN - PN) = PN[/tex]

Multiply both sides by 2

[tex]LN - PN = 2PN[/tex]

[tex]LN= 3PN[/tex]

Since PNQ is similar to LNM, the following equivalent ratios exist:

[tex]\frac{LM}{PQ} = \frac{LN}{PN}[/tex]

Substitute [tex]LN= 3PN[/tex]

[tex]\frac{LM}{PQ} = \frac{3PN}{PN}[/tex]

[tex]\frac{LM}{PQ} = 3[/tex]

[tex]LM = 3PQ[/tex]

Area of LQM is:

[tex]Area = \frac{1}{2} * LM * LP[/tex]

This gives:

[tex]Area = \frac{1}{2} * 3PQ * LP[/tex]

[tex]Area = 3 *\frac{1}{2} *PQ * LP[/tex]

Recall that:

[tex]16= \frac{1}{2} * PQ * LP[/tex]

So:

[tex]Area = 3 *16[/tex]

[tex]Area = 48cm^2[/tex]

Answer:

72 inches equals 2 yards to get the answer you divide 72 by 36 which equals 2 .

Step-by-step explanation:

Answer:

2. 35 degree.

Answer:

35°, 35°

Step-by-step explanation:

An isosceles triangle has 2 congruent angles.

The sum of the measures of the angles of a triangle is 180°.

A triangle cannot have 2 angles measuring 110° each since that sum alone equals 220° which is more than 180° before taking into account the measure of the third angle.

That means the angle measuring 110° must be the vertex angle. The other two angles are congruent, and each one measures x.

x + x + 110 = 180

2x + 110 = 180

2x = 70

x = 35

Answer: 35°, 35°

Answer:  Angle 3 and Angle 9

Step-by-step explanation:

Answer:

3 9

Step-by-step explanation:

Answer:

[tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]

Step-by-step explanation:

Multiply both sides: by x+c

a(x+c)=[tex]\frac{b-2x}{x+c}[/tex] (x+c)

Simplify: a(x+c)=b-2x

Expand: ax+ac=b-2x

Subtract ac from both sides: ax+ac-ac=b-2x-ac

Simplify: ax=b-2x-ac

Add 2x to both sides: ax+2x=b-2x-ac+2x

Simplify: ax+2x=b-ac

Factor ax+2x: x(a+2)

x(a+2)=b-ac

Divide both sides by a+2: [tex]\frac{x(a+2)}{a+2}[/tex] = [tex]\frac{b}{a+2}[/tex] - [tex]\frac{ac}{a+2}[/tex] ; a≠-2

Simplify: [tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]

the answer is: 1,2,3

the inequality represents less than, meaning the value of z is less than 4

which leaves us with 3 numbers, 1, 2 and 3

Answer:

9900 Students

Step-by-step explanation:

Divide 8513 by .86 to show the rest of the freshman class.

You can check by doing 9900 times .86 to see %86 of 9900

Total there are 9900 students are in the freshman class.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, 86% of a university's freshman class are majoring in Computer Science.

8514 students in the freshman class are Computer Science majors.

Let the number of students are in the freshman class be x.

Here, 86% of x=8514

86/100 ×x=8514

86x=851400

x=851400/86

x=9900

Therefore, total there are 9900 students are in the freshman class.

To learn more about the percentage visit:

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Answer:

450

Step-by-step explanation:

8+17=25

25x26=450

Answer: 500

Step-by-step explanation:

You have to do multiplication first according to PEMDAS so you do 17 times 26 and you get 442 add 8 you get 500.

9514 1404 393

Answer:

  $737,289

Step-by-step explanation:

The future value of an investment P invested at rate r per year compounded monthly for t years is ...

  FV = P(1 +r/12)^(12·t)

We want to find P for the given future value, so we can solve for that:

  P = FV/(1 +r/12)^(12·t) = FV(1 +r/12)^(-12·t)

  P = $2,000,000(1 +.05/12)^(-240) = $737,289

Mr. Halpayne needs a present value of $737,289 to support his retirement.

Answer:

D. 18

Step-by-step explanation:

4×(9/2)=x

4×9/2=x

36/2=x

18=x

x=18

Answer:

D 18

Step-by-step explanation:

you devide 4 by 2/9 and get your answer

Answer:

The first option

Step-by-step explanation:

Answer:

52 4/5

Have a nice day! :)

Answer:

13 cm i think.

Step-by-step explanation:

Answer:

The answer would be D

Step-by-step explanation:

Most of the points are grouped together and can be define by a line or equation so there is a correlation between the outside temperatures and the heating cost so right away we can eliminate option A

There is no such thing as a constant correlation so we can eliminate answer choice C

As the temperatures rise ( or as the x values rise) the cost of heating decreases ( or the y values decrease) This is an example of negative correlation correlation because as one value increase the other value decreases.

this is also notable from looking at the graph .

Answer:  31

Step-by-step explanation:

(x/5) - 1 = 5.2

x/5 = 6.2

x = 6.2 x 5

x = 31

Answer:

To find

=>The value of x in the Equation => (X/5)-1=5.2

Step-by-step explanation:

(X/5)-1 =5.2

(X/5)= 5.2+1

x/5=6.2

X= 6.2*5

X=31

Answer:

1/3

Step-by-step explanation:

if all the boys drank out of the jug than the fraction would be 1/3

1/3+1/3+1/3=1

Answer:

6

Step-by-step explanation:

3 ⋅ 2^t

Let t=1

3 ⋅ 2^1

Exponents first

3 * 2

6

The answer should be -79

Given that,

Based on the above information, the calculation is as follows:

= (112 - 56) - (25 + 110)

= 56  -135

= -79

Learn more: brainly.com/question/17429689

Answer:

1/4

Step-by-step explanation:

I got it right

Answer:

72%

Step-by-step explanation:

%/100 = is/of Write formula

x/100 = 36/50 Substitute known values

50x=3600 Cross multiply

/50   /50 Divide both sides by 50 to isolate x

x    =72

Answer: 9 ft2

Step-by-step explanation:

i took that test yesterday

i. c b a

ii. e d f

iii. h i g

hope this helps

now give me your brain lol

Answer:

1. (<A) > (<B) > (<C)

2. (<F) > (<D) > (<E)

3. (<H) > (<I) > (<G)

Step-by-step explanation:

The sides-angles theorem in a triangle states that the largest angle in a triangle will be opposite the largest side. One can apply this to the given set of triangles:

(1)

CB > AC > AB

4.4 > 3.1 > 2.7

(<A) > (<B) > (<C)

(2)

DE > FE > DF

(x) > (x-3) > (x-5)

(<F) > (<D) > (<E)

(3)

GI > GH > HI

(21x) > (14x) > (13x)

(<H) > (<I) > (<G)

The required measure of a vertical angle is given as 2x + 11.

An angle measures (2x + 11). The measure of an angle that is vertical to the given angle is to be determined.

orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

here,
The measure of angle remains the same because vertical angles are always equal for the two intersecting lines.

Thus, the required measure of a vertical angle is given as 2x + 11.

Learn more about Angles here:

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Answer:

Step-by-step explanation:

okay so you can take any two points 1 x one y in the form (x, y) and (x, y) so

(2, 5) and (4, 1)

then use the slope formula y2-y1/ x2 -x1

1-5+=4

4-2=2

slope equals 4/2 simplified equals 2

I THINKKKKK!

Answer:

1504

Step-by-step explanation:

Given the digits :

1, 3, 5, 7

The maximum possible sum of two distinct three digit numbers formed from the digits above will be the sum of the the two hight possible three digit numbers that can be formed.

Highest three digit number = 753

Next highest = 751

The sum of these two. Values gives :

753 + 751 = 1504

Answer: x=5

Step-by-step explanation:

subtract x from both sides

-2x-x=x-15-x

-3x=15

then divide both sides by -3

-3x=-15

-3x   -3

x=5

hope this helps! please mark as brainliest! Thanks

Answer:

B: $21

Step-by-step explanation: