A carpenter makes wooden chairs.
He has enough wood to make 30 chairs.
He makes $60 profit on a dining chair and $90 profit on a rocking chair.
It takes him 1 hour to make a dining chair and 2 hours to make a rocking chair.
He only has 40 hours available to work on chairs.

The carpenter wants to maximize his profit given the information above.

How many dining chairs and rocking chairs should he make?
How much profit does he earn?

Answer:

3.5 sq

Step-by-step explanation:

Answer:

49 inches

Step-by-step explanation:

Perimeter of square Q is 49 inches.

Let x be the length of side of square P and y be that of square Q.

It is given in the question that :

Also it is given that x=3.5 inches. Hence

3.5/y = 2/7

∴ y=12.25 inches.

Answer:

I looks like it's A. Hope I helped!

Answer:

-|x+2|+2

Step-by-step explanation:

The common difference is 3.

14-11=3

11-8=3

8-5=3

5-2=3

You can see here that the difference between two consecutive numbers in this sequence are all 3.

Answer:

0.062 or in fraction form 14/225

Step-by-step explanation:

Answer:

0.062222222

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

(x,y)

Answer:

4 :)

Step-by-step explanation:

(x,y) so (3,4) would make 4 the y

Answer:

-7=11*-8+b

-7=-88+b

+88 both sides

81=b

y=11x+81

Answer:

77 red marbles

Step-by-step explanation:

the bag has R and B marbles

P(B)=1/12 = number of blue /total number of marbles

so 1/12=?/84

in the bag must be 84/12=7 marbles that are blue

84-7=77 red marbles

Answer:

D, i believe it should be h+p=8 and 1.09h + 0.68p = 7.90

Step-by-step explanation:

purchased 8 items in total; therefore, h+p=8

cost of each item, multiplied by quantity, equals grand total of $7.90

Answer:

x ≥ 15/2 im pretty sure

Step-by-step explanation:

reduce the fraction: -7 ≤ x + 1/2. move the terms: -x ≤ 1/2 + 7 calculate the sum: -x ≤ 1/2 + 7 = -x ≤ 15/2 and change the signs: x ≥- 15/2.

Answer:

There are 14 pieces in 2 wholes.

Step-by-step explanation:

In order to solve this question we need to understand that "a whole" is another way of saying 1. So then this question askes the following, "How much does  [tex]\frac{1}{7}[/tex] fit into 2. In order to find that out we just have to divide 2 by [tex]\frac{1}{7}[/tex] and so we get.....

2 /  [tex]\frac{1}{7}[/tex] = 14

Answer:3 1/3

Step-by-step explanation:5/1 x 2/3=10/3=3 1/3

Answer:

20%

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Answer:

150%

Step-by-step explanation:

% change = change/original x 100

45-18 = 27

27/18 x 100 = 150

The percent of change if 18 is increased to 45, to the nearest percent, is calculated as: 150%.

To calculate the percent of change when 18 is increased to 45, we can use the formula:

Percent of change = ((New value - Initial value) / Initial value) * 100

Let's plug in the values and calculate the percent of change:

Percent of change = ((45 - 18) / 18) * 100

Percent of change = (27 / 18) * 100

Percent of change = 1.5 * 100

Percent of change = 150

Therefore, the percent of change is 150%, indicating a 150% increase.

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Answer:

75

Step-by-step explanation:

you should've done 2 times 5 first but you have done 3+5 first.

Answer:

5

Step-by-step explanation:

42 - 12 = 30

30 / 6 = 5

Answer:

a. i. 150 cm³ ii. 150 cm³

b. i. 220 cm³ ii. 120 cm³

c. i. 297 cm² ii. 220 cm²

Step-by-step explanation:

a. For the cube

Dimensions of Cube = 5cm x 5cm x 5cm

Length of side = 5 cm

i. Total surface area A = 6L² where L = length of side = 5 cm

So, A = 6 × (5 cm)²

= 6 × 25 cm³

= 150 cm³

ii. Lateral surface area A' = 4L²

= 4 × (5cm)²

= 4 × 25 cm²

= 100 cm²

b. For the cuboid

Dimensions of Cuboid = Length, l = 10cm, Breadth, b = 5cm, Height, h = 4cm

i. Total surface area A = 2(lb + lh + hb)

= 2(10 cm × 5 cm + 10 cm × 4 cm + 4 cm × 5 cm)

= 2(50 cm² + 40 cm² + 20 cm²)

= 2(110 cm²)

= 220 cm²

ii. Lateral surface area A' = 2(lh + hb)

= 2h(l + b)

= 2 × 4 cm (10 cm + 5 cm)

= 8 cm × 15 cm

= 120 cm²

c. For the cylinder

Dimensions of Cylinder = Diameter, d = 7cm and height, h = 10cm

i. Total surface area, A = 2πr(r + h) where r = radius = d/2

A = πd(d/2 + h)

= 22/7 × 7 cm(7 cm/2 + 10 cm)  

= 22cm(3.5 cm + 10 cm)

= 22cm(13.5 cm)

=  297 cm²

ii. Lateral surface area A = 2πrh

= πdh

= 22/7 × 7 cm × 10 cm

= 22 cm × 10 cm

= 220 cm²

Answer:

Below

Step-by-step explanation:

(20*100)+(20*7)+(100*6)+(7*6)

Answer:

1260

Step-by-step explanation:

168 ÷ 8= 21

21 x 60 = 1260

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Step-by-step explanation:

D

a triangle is 180°

180-126= 54

Now you have:

56+54+X=180

110+X=180

-110 -110

X=70

Answer:

70 wanna know why add the sides then divide

Step-by-step explanation:

Answer:

The measures of the acute angles are 38 and 52 degrees.

Step-by-step explanation:

In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles [tex]a[/tex] and [tex]b[/tex].

[tex]a + b +90 = 180[/tex]

The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:

[tex]a = 2(b-12)[/tex]

Now we have two equations. If we simplify them, we get these:

[tex]\left \{ {{a=90-b} \atop {a=2b-24}} \right.[/tex]

Now you can substitute [tex]a[/tex] in the first equation for [tex]a[/tex] in the second equation

[tex]90-b=2b-24[/tex]

Add [tex]b[/tex] to both sides of the equation

[tex]90 = 3b-24[/tex]

Add [tex]24[/tex] to both sides

[tex]114 = 3b[/tex]

Divide both sides by 3

[tex]38 = b[/tex]

Now, you can substitute [tex]38[/tex] for [tex]b[/tex] in the first equation and simplify.

[tex]a = 90-38[/tex]

[tex]a=52[/tex]

Therefore,

[tex]a=52[/tex], and [tex]b=38[/tex]

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The value of the angles are 38° and 52° respectively

Let the acute angles be represented by a and b.

Based in the information given,

a = 2(b - 12)

a = 2b - 24.

Note that the angle in an acute angle equals to 90°.

Therefore,

a = 90 - b.

a = 2b - 24

Equate the equations together

90 - b = 2b - 24

2b + b = 90 + 24

3b = 114

b = 114/3

b = 38

Therefore, a will be:

= 90° - 38° = 52°

The value of the angles are 38° and 52° respectively.

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Answer:

A. -2

Step-by-step explanation:

Answer:

Looks like -2

Step-by-step explanation:

When you look at where the line on the graph passes the it looks like it passes at -2.

Answer:

(-4, 3) 2nd quadrant.

Step-by-step explanation:

Answer:

Max made a mistake in step 5.

He should have used division instead of multiplication.

Step-by-step explanation:

In step #5, he made the mistake of multiply 5/6 by 5/6. The reason why this doesn't work is because y is not a full y. When there isn't a number beside a variable, it is implied that it is 1y. To solve for y, you need 1y or else results or inaccurate.

In reality, 5/6 * 5/6 is equal to 25/36. If you divided 5/6 by 5/6, it is equal to 1, which makes y a full y.

Answer:

he made a lot of mistakes, but i'd say he used division instead of multiplication in step 5

(but the biggest mistake was adding 1/6 to both sides instead of multiplying by it)

Step-by-step explanation:

Answer:

15 of $3 books and 4 of the $8 books

Step-by-step explanation:

15×3= 45

8 × 4= 34

45+32= 77

Answer:

3rd answer

Step-by-step explanation:

i think

Answer:

the area of a regular hexagon is A=(3√3/2)a², a is the side length.

so A=(3√3/2)*5.2²=70.25

C is the correct answer

Step-by-step explanation: Hope this helps:)

Answer:

3

Step-by-step explanation: Hope this help u