Ben has 69 planks that are of standard size. He would need 5 such planks to make a bookshelf. Find the maximum number of bookshelves Ben can make.​

Answer:

-4

Step-by-step explanation:

Answer: Its is 1

Step-by-step explanation:

Answer:

A. 6x-2y=4

Step-by-step explanation:

Answer:

m∠2 = 75°

m∠1 = 105°

Step-by-step explanation:

1. First, we should recognize that the angle that's 75° and ∠2 are alternate interior angles, formed on the interior of the opposite sides of the transversal. Alternate interior angles are congruent, so m∠2 = 75°.

2. Next, ∠2 and ∠1 are a linear pair, meaning their angle measures add up to 180°. Considering that m∠2 is 75 degrees, we just have to subtract 75 from 180, and we get the measure of ∠1.

Therefore, m∠1 = 105°.

Step-by-step explanation:

that only know

Answer:

4.0%

Step-by-step explanation:

percent change = (new number - old number)/(old number) * 100

percent change = (25475 - 24500)/(24500) * 100

percent change = 3.979...%

Answer: 4.0%

Answer:

2 quarters, 2 dimes, and 1 nickel

Step-by-step explanation:

25 times 2 = 50

10 times 2 = 20

1 times 5 = 5       +

____________

0.75

The coins can be distributed in the following manner -

2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Michele who has 5 coins Worth 0.75 in all.

We can distribute the coins in the following manner -

2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75

Therefore, the coins can be distributed in the following manner -

2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75

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Answer:

y=-3x+7

Step-by-step explanation:

Step 1:

Make your thing into y=mx+b

3x+y+2=0 is the same as y=-3x-2

Step 2:

Plot your point at (1, 4)

Step 3:

Plot different points using your slope of rise 3 move 1 (remember you have a neg slope so keep that in mind)

Step 4:

Draw your line thru the points.

See below for an image. Hope that helped

Answer:

Step-by-step explanation:

The relation in the table has greater value as 9 > 0

f(x) = 34, find x:

Answer:

if of all  parallel lines can't touch

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

∠ C ≈ 22.6°

Step-by-step explanation:

Since Δ ABC is right at B

Using the sine ratio in the right triangle

sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{5}{13}[/tex] , then

∠ C = [tex]sin^{-1}[/tex] ( [tex]\frac{5}{13}[/tex] ) ≈ 22.6° ( to 1 dec. place )

Answer:

Step-by-step explanation:

Answer:

Meter by a bit

Answer:

1 1/2 cups of peanut butter

1 cup of vegetable shortening

2 1/2 cups grimly packed light brown sugar

6 tablespoons of milk

5 1/2 teaspoon vanilla extract

2 large eggs

3 cups of flour

1 1/2 teaspoon of baking soda

1/2 teaspoon of salt

Step-by-step explanation:

You just double everything by 2

The ingredients needed to make 4 dozen cookies are written below;

3/2 cup of peanut butter

1 cup vegetable shortening

2½ cups girmly packed light brown sugar

6 tablespoons milk

5½ teaspoon vanilla extract

2 large egg

3 cups flour

3/2 teaspoon baking soda

1/2 teaspoon salt

Recipe for 2 dozen cookies:

3/4 cup of peanut butter

1/2 cup vegetable shortening

1 1/4 cups girmly packed light brown sugar

3 tablespoons milk

2 3/4 teaspoon vanilla extract

1 large egg

1 1/2 cups flour

3/4 teaspoon baking soda

1/4 teaspoon salt

Recipe for 4 dozes of cookies: multiply the recipe for 2 dozen by 2

3/4 cup of peanut butter × 2

= 6/4 = 3/2

1/2 cup vegetable shortening × 2

= 2/2 = 1

1 1/4 cups girmly packed light brown sugar × 2

= 5/4 × 2

= 10/4 = 5/2 = 2½

3 tablespoons milk × 2

= 6

2 3/4 teaspoon vanilla extract × 2

= 11/4 × 2 = 22/4

= 11/2 = 5½

1 large egg × 2

= 2

1 1/2 cups flour × 2

= 3/2 × 2

= 6/2 = 3

3/4 teaspoon baking soda × 2

= 6/4 = 3/2

1/4 teaspoon salt × 2

= 2/4

= 1/2

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Answer:

b=6.92820323

Step-by-step explanation:

To find b, you would do the opposite from ^2 which is the square root. So the square root of 48. That is 6.92820323

Answer:

b ≈ 6.928 or 4√3

Step-by-step explanation:

b² = 48. To find b, we need to square root both sides (we are doing the opposite of squaring):

b = √48 = 4√3 or ≈ 6.928

Hope this helps!

Answer:

x = 54° , y = 29°

Step-by-step explanation:

The sum of the 3 angles in Δ ABC = 180° then

x = 180° - (72 + 54)° = 180° - 126° = 54°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of Δ CQR , then

y + 25° = x

y + 25° = 54° ( subtract 25° from both sides )

y = 29°

Answer:

x = 54

y = 29

Step-by-step explanation:

First, find the magnitude of x. To do this, add the angles inside triangle ABC, which means to add 72 + 54 + x which is equal to 180 because of the rule, the sum of the interior angles of a triangle is 180. So, when the equation is simplified, you get the answer as x = 54. Then, find the magnitude of y. The magnitude of an angle drawn around a point on a straight line is always 360, and the magnitude of the same point, but only on one side of the straight line is always 180. So, we can say that the unnamed angle in the triangle CQR is 180-x, which means 180-54 because we got x as 54 earlier. Therefore, the magnitude of the unnamed angle is 126. Now, apply the same rule we used before, the sum of the interior angles of a triangle is 180, to the triangle QCR. 25 + 126 + y = 180. When this is simplified, 29 is obtained.

To find x,

 72 + 54 + x = 180 (the sum of the interior angles of a triangle is 180)

        126 + x = 180

126 + x - 126 = 180 - 126

                  x = 54

To find y,

25 + 126 + y = 180

         151 + y = 180

 151 + y - 151 = 180 - 151

                  y = 29

Answer: i dont know

Step-by-step explanation:

Answer:

y and 65 is equal

y= 65°

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

Answer:

Multiply 408 by 352.143616x

Step-by-step explanation:

Lmk if im wrong.

Answer:

-Scalene

- Isosceles

-Perpendicular lines

Answer:

[tex]k - 120 = 768[/tex]

add 120 to both sides of the equation

[tex]k - 120 + 120 = 768 + 120[/tex]

120 on the left hand side of the equation cancels therefore isolating the variable, k

[tex]k = 888[/tex]

Answer:

Step-by-step explanation:

Numbers in sequence are:

The difference between end points:

Common difference of 5 terms:

The missing numbers are:

A midpoint is a point that bisects a line into two equal parts.

Given that  C is the midpoint of AE, hence;

AC + CE = AE ........ 1

Similarly, if C is the midpoint of BD, then;

BC + CD = BD................... 2

If AE = BD, then we will equate 1 and 2 to have:

AC + CE = BC + CD

Also since CE = BC, the equation becomes

AC + CE = CE + CD

AC = CD (Proved)

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Answer:

7

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

first you'd make 4y+12=32

get rid of 12           -12 =-12

                               4y=20

             divide        4 =4

                                y=5

Explanation:

Let's say this class has 3 boys and 1 girl. That means we have 3+1 = 4 students total. The percentage of girls is 1/4 = 0.25 = 25%

Answer:

1440

Step-by-step explanation:

Answer:

252p or £2.52

Step-by-step explanation:

If one pencil is 9p, 28 pencils would be 9 × 28 which is 252p or £2.52.

Hope this helps!

Answer:

252p

Step-by-step explanation:

Answer:

9.25 lbs

Step-by-step explanation:

37 is the amount for 4 acres or 4a:

37  = 4a

Isolate and find a by dividing both sides by 4:

4a = 37

4a ÷ 4 = [tex]\frac{37}{4}[/tex]

a = [tex]\frac{37}{4}[/tex] or 9.25 lbs

Hope this helps!