1. A firm manufactures tables and desks. To produce each table requires 1 hour of labor, 10 square
feet of wood, and 2 quarts of finish. To produce each desk requires 3 hours of labor, 20 square feet
of wood, and 1 quart of finish. Available is at most 45 hours of labor, at most 350 square feet of
wood, and at most 55 quarts of finish. The tables and desks yield profits of $4 and $3 respectively.
Find the number of each product to be made in order to maximize profits. Find the maximum
profit.

Answer:

You will use 2 cups of blue paint for 4 cups of yellow paint.

Step-by-step explanation:

Given that:

There is 1/3 cup of blue paint for every 2/3 cup of yellow paint

We will find unit rate in terms of yellow paint.

2/3 cups of yellow paint = 1/3 cup of blue paint

Multiplying both sides by 3/2

[tex]\frac{2}{3}*\frac{3}{2}=\frac{1}{3}*\frac{3}{2}\\1\ cup\ of\ yellow\ paint = \frac{1}{2}\ cup\ of\ blue\ paint[/tex]

Now,

4 cups of yellow paint = [tex]4*\frac{1}{2}[/tex] cups of blue paint

4 cups of yellow paint = 2 cups of blue paint

Hence,

You will use 2 cups of blue paint for 4 cups of yellow paint.

Answer:

Arithmetic sequence

Step-by-step explanation:

Arithmetic sequences have a common difference d=n2-n1 whilst Geometric sequences have a common ratio r=r2/r1

Clearly, 27-18=9,6-27=9,54-45=9

since there's a common difference,it's an arithmetic sequence

Answer:

Complementary angles are those that sum up to 90o.Vertical angles have equal measures. Therefore, if vertical angles measure 45o each, they are complementary.

Explanation: Here how it might look if angles ∠1 and ∠3 are measured at 45o.

Answer:

x=1, y= -1

Step-by-step explanation:

Answer:

b) 18

Step-by-step explanation:

Plug in 25 for x in the equation.

ie: y=.9(25)-4.5

Then solve using a calculator.

The answer should be 18

Answer: 18 loaves of bread.

Step-by-step explanation:

Do 12 divided by 2/3 which is the same thing as multiplying 12 by the reciprocal (just flip the fraction) of 2/3 which is 3/2. 12x3/2 is 36/2 which is equal to 18.

Answer:

What ????????????????

Answer:   754962 -L

If it's not, you can let me know so i could try it out again!

Step-by-step explanation:

Answer:

but but baby yoda

Step-by-step explanation:

I rest my case

Answer:

Your answer would be D.

Step-by-step explanation:

D, because if we times the cost of one pound of apple by the number of pounds we have then getting the product we will have $7.20

Answer:

The missing number in the green box is 4

Step-by-step explanation:

The product of the slopes of the perpendicular lines is -1, which means

The slope-intercept form of the linear equation is y = m x + b, where

Let us solve the question

∵ The equation of the first line is y = 4x + 2

→ Compare it with the form of the linear equation above

∴ m = 4

∵ m is the slope

∴ The slope of the line is 4

∵ The slope of the perpendicular line should be the negative reciprocal of it

∵ The negative reciprocal of 4 is [tex]-\frac{1}{4}[/tex]

∴ The slope of the perpendicular line is [tex]-\frac{1}{4}[/tex]

→ Substitute it in the equation

∴ y = [tex]-\frac{1}{4}[/tex] x + 2

∴ The missing number in the green box is 4

Answer:

57 lbs is your answer

Answer:

Step-by-step explanation:

given: 6 yds / sec

find the time to ride 12 miles,  so how many yards is 12 miles?

12 miles *   1760 yards / 1 mile = 21120 yds

d =r*t    d=distance , r= rate , t = time

we know the distance and the rate .. so we can find the time

d/r = t

21120/6 = t  ( in seconds)

3520 = t sec.

3520 sec *   1 min / 60 seconds   ( to convert to minutes )

3520/60=t ( in minutes)

58 & 2/3  minutes  

Answer:

A, B, C

Step-by-step explanation:

Since the sum of the angles in a triangle is [tex]180^{\circ}[/tex], you can set the equation [tex]9x-7+7x-9+28-2x[/tex]. Simplifying gets [tex]14x=168[/tex]. Dividing gets you [tex]x = 12[/tex]. This is only x so you have to substitute 12 for x in the angles in the beginning to get [tex]\angle{A}=101^{\circ}[/tex], [tex]\\\angle{B}=75^{\circ}[/tex], [tex]\\\angle{C}=4^{\circ}[/tex]

Answer:

£o.68 is 16% of £4.25

Step-by-step explanation:

the 16 percent of 4.25

= 16percent ×4.25

= 16/100 ×4.25

=68/100

=£o.68

so,16 percent of 4.25 is £o.68

Answer:

x-36 is equivalent

Step-by-step explanation:

Answer:

answer is in photo

Step-by-step explanation:

Answer:

distributive property

Step-by-step explanation:

your expression will look like this:

-1.5x+(-14)

or -2*3/4x+-2*7

Answer:

[tex]15000 \times {0.92}^{x} = y[/tex]

x is the number of years and y is the value at x years

The exponential decay model to represent the real-life problem should be considered as the [tex]15000 \times 0.92^{x} = y[/tex].

Since the purchase value of the truck is $15,000

The depreciation rate is 8%

So here exponential decay model should be like

[tex]15000 \times 0.92^{x} = y[/tex]

Hence, The exponential decay model to represent the real-life problem should be considered as the [tex]15000 \times 0.92^{x} = y[/tex].

Learn more about model here: https://brainly.com/question/24280482

Answer:

3) False

4) c (-2, -1, 0, 1, 2)

Step-by-step explanation:

The domain is the set of all possible inputs for a function, which is basically the x-values.

Answer:

45

Step-by-step explanation:

Answer:

Solution in photo

Step-by-step explanation:

Answer:

-27

Step-by-step explanation:

=========================================

Work Shown:

A = old value = 400

B = new value = 300

C = percent change

C = [(B-A)/A]*100%

C = [(300-400)/400]*100%

C = (-100/400)*100%

C = (-0.25)*100%

C = -25%

The negative value of C means we have a percent decrease. Specifically we have a 25% decrease.

---------

We can see that by saying:

25% of 400 = 0.25*400 = 100

400 - (25% of 400) = 400 - 100 = 300

Answer:

If hanging Christmas lights around the garage door is on your holiday to do list, make sure to do it right. Decorating shouldn't be a once-a-year activity that does permanent damage to your home or your body.

When it comes to hanging holiday lights around your garage door, use clips and hooks specifically designed for the task. Avoid using metal fasteners like staples or nails if you are attaching lights directly to the trim; the metal can damage the wiring and create a fire or electrocution hazard. Instead, clip the plastic fasteners to the light string and attach the plastic fasteners to your trim. This way the clips can remain throughout the year, and lights are more easy to hang in the holidays to come.

For the vertical runs, find the trim clips that wrap around the light string and hold it into place (this is particularly important for our Sioux City and Yankton breezes and blizzards). Aim for a clip every 12 inches or so. Some homeowners choose to nail the clips for stability; others use a removable adhesive.

If you are continuing to light up your house with lights around your roof and gutter lines, there are other items that can help make this process easier. Roof and gutter clips can be pressed directly onto the home's exterior; they typically have a hook at the bottom that grabs the light string. Please be very careful when working on high and precarious locations!

Answer:261

Step-by-step explanation:i don’t rlly know how to explain

The 3 options--1, 2, and 4.

Answer:A, B, E

Step-by-step explanation:

edgenunity

Answer:

I'd say x=4.5

Step-by-step explanation:

I learned this in 6th grade so don't completely take my word for it. But you can build off of my answer probably. Sorry.

Answer:

294 cm^2

Step-by-step explanation:

length of the cube is 7cm each side

S.A = 2(7 * 7) + 2( 7 * 7) + 2( 7 * 7)

= 294 cm^2

Answer:

80%

Step-by-step explanation:

Calculation for what was Carol's percentage score on the test

Using this formula

Percentage score on the test=Answered questions/Numbers of questions *100

Let plug in the formula

Percentage score on the test=16/20*100

Percentage score on the test=0.80*100

Percentage score on the test=80%

Therefore Carol's percentage score on the test will be 80%

Given:

The sum of third and seventh terms of an AP is 20.

To find:

The sum of the first nine ​ terms.

Solution:

We have, the sum of third and seventh terms of an AP is 20.

[tex]a_3+a_7=20[/tex]        ...(i)

nth term of an AP is

[tex]a_n=a+(n-1)d[/tex]

where, a is first term and d is common difference.

[tex]a_3=a+(3-1)d[/tex]

[tex]a_3=a+2d[/tex]       ...(ii)

[tex]a_7=a+(7-1)d[/tex]

[tex]a_7=a+6d[/tex]       ...(iii)

Using (i), (ii) and (iii), we get

[tex](a+2d)+(a+6d)=20[/tex]

[tex]2a+8d=20[/tex]         ...(iv)

Now, the sum of first n terms of an AP is

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

Put n=9 to find the sum of first 9 terms of an AP.

[tex]S_n=\dfrac{9}{2}[2a+(9-1)d][/tex]

[tex]S_n=\dfrac{9}{2}[2a+8d][/tex]

[tex]S_n=\dfrac{9}{2}[20][/tex]           [Using (iv)]

[tex]S_n=\dfrac{180}{2}[/tex]

[tex]S_n=90[/tex]

Therefore, the sum of the first 9 terms is 90.

Answer:

n= 45

Step-by-step explanation:

2/5×n=18

2n/5=18

2n/2=90/2

n=45