4. Convert: 32 cups = gallons 10 gallons 3 gallons 2 gallons 1 gallon​

If the company wants to keep its production costs under $781.12 a reasonable domain for the constraint x is  -12.9892≤ x ≤ 1012.99.

A constraint is a condition of an optimization problem that should be satisfied the condition.

Let  x is an element of a subset of the integers,

C(x) is the production cost, in thousands of dollars

[tex]C(x) = 50 +3.8x -0.0038x^2,[/tex]

This is a vertical parabola open downward (the leading coefficient is negative)

we know that

For the interval [-12.9892, 1012.99] = -12.9892≤ x ≤ 1012.99

The value of C(x) = C(x) < 781.12

That means the production cost is under $781.12

Remember that the variable x (number of tires) cannot be a negative number.

If the company wants to keep its production costs under $175,000 a reasonable domain for the constraint x is -12.9892≤ x ≤ 1012.99

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Answer:

b  -  c   -  a

Step-by-step explanation:

Volume of each cube x number of cubes = total volume

a )  (3 * 2 * 6)  *  (1/4 )^3  = .5625

b)   (2 * 3 )     *   (1/2)^3  =  .75

c)   ( 8 * 4 * 11) *  (1/8)^3  = .6875    

The representation of the volume of the prism in greatest to least volume is third > first > second.

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

As per the given cuboid prism.

The volume of the cuboid = length × height × width.

First cube = 1/4 x 3 x 6 x 2 = 9 units³

Second cube = 1/2 x 2 x 3 x 1 = 3 units³

Third cube = 1/8 x 8 x 11 x 4 = 44 units³

So, 44 > 9 > 3.

Hence "The representation of the volume of the prism in greatest to least volume is third > first > second".

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Answer:

[tex] \fbox{4\:dollars\:and\:99\:cents}[/tex]

Step-by-step explanation:

Given:

Total money Marsha gave = 20$

Total money she received in return = 5.03$

Number of pairs of socks she purchased= 3 pairs

To find: Cost of each pair of socks =?

Solution:

Let the cost of each pair of socks is x, and the equation that satisfies above scenario would be,

[tex]3x + 5.03 = 20 \\ 3x = 20 - 5.03 \\ 3x = 14.97 \\ x = \frac{14.97}{3} \\ x = \cancel{\frac{14.97}{3} } \: ^{4.99} \\ x = 4.99[/tex]

Each pair of socks cost 4.99 dollar which can be written as 4 dollars and 99 cents.

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Answer:

$4.99

Step-by-step explanation:

Since the cashier gave $5.03 in change, Marsha paid $5.03 extra for the 3 pairs of socks. This means that the cost is;

To determine the cost for each pair of socks, we need to divide 3 both sides of the equation obtained above, as it is the cost for 3 pairs of socks.

Therefore, the cost for each pair of socks $4.99.

Answer : Backyard

Step-by-step explanation:

Answer:

Step 1: Convert every letter grade to its respective points (A=4, B=3, C=2, D=1, F=0.)

Step 2: Add up all the grade points.

Step 3: Divide the added grade points (step 2) by the number of class credits taken

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

[tex]\sqrt{2\pi \sqrt{a} } =\sqrt[4]{4\pi ^2a}[/tex]

Answer:

Step-by-step explanation:

Answer:

-26

Step-by-step explanation:

4-30=-26

Answer:

Length(L)=18kg

=18×100cm=1800

Breadth(B)=360kg

Height(H)=m3

Volume (V)=?

We know,

V=l×b×h

or, V=18×360×m3

=6480

Step-by-step explanation:

The mean, median and range of the given data are respectively; 49, 48 and 3.

Formula for mean is;

Mean = Total sum/sample size

Total sum = 48 + 51 + 48 + 48 + 50

Total sum = 245

Sample size = 5

Mean = 245/5

Mean = 49

To get the median, we arrange in ascending order and pick the mid term.

48, 48, 48, 50, 51

Median is mid term which is 48.

Range is difference between highest and lowest term.

Range = 51 - 48

Range = 3

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Answer:

ft²

Step-by-step explanation:

times the number by two

Answer:

x = -7

Step-by-step explanation:

First step is to expand the left side of the equation. To do this, multiple 4 by each term on the inside of the paratheses.

4 * 2x = 8x

4 * 14  = 56

This gives you the equation:

8x + 56 = 0

Now, get the x term on one side by itself by subtracting 56 on both sides:

8x = -56

And solve for x by dividing both sides by 8:

x = -7

Answer:

$18.50

Step-by-step explanation:

because there are 6 people, to find out the total discount, we do:

2.50 x 6 = 15

This means that they saved $15 out of the $96. So, to find out the total before the discount, all we have to do is

96 + 15 = 111

Then, to find the cost of 1 ticket, before discount, we do 111 / 6, which gives us:

$18.50

Hope this helps! If you have any further questions, let me know!

- profparis

Answer:

matrix is 1 x 2

Step-by-step explanation:

The order, or dimension, of a matrix is the number of rows and columns that a matrix has. By convention, rows are listed first; and columns, second.

Answer: boo i scareed you

Step-by-step explanation:

Answer:

13.727

Step-by-step explanation:

Explanation

Given: You choose the four packages of modeling clay and the set of equipment indicated on the right for a creative project.

To find: the total cost if there is a 6% sales tax.

We will calculate the total cost of each item and then add.

Tip

The total cost formula is used to combine the variable and fixed costs of providing goods to determine a total.

The formula is: Total cost = (Average fixed cost x average variable cost) x Number of units produced.

Step 1

The cost of 4 packets of clay is given by:

4 x $2.79



Step 2

We will calculate the product:

4 x 2.79 = 11.16

Step 3

We will add the cost of 4 packets of clay and a pack of tools to get the total cost without tax:

$(11.16 + 1.79)



Step 4

We will add the numbers:

11.16 + 1.79 = 12.95

Step 5

The 6% tax on the total price is given by:

6% x $12.95

Step 6

We will calculate the sales tax:

6/100 x 12.95 = 0.777



Step 7

We will add the total cost without tax and tax amount to get the total amount paid:

$(12.95 + 0.777)



Step 8

We will add the amounts:

12.95 + 0.777 = 13.727

Step 9

YOU ALL DONE!

I SAY CAN YOU, YOU SAY GIVE ME THANKS, CAN YOU_GIVE ME THANKS!!!

Answer:

3 6/8

Step-by-step explanation:

im probably giving answers to 9 year olds rn LOL and anyways theres a number line there so you can see the heaviest which is 2 and 1 6/8 so then just add them like this 2+1=3+6/8=3 6/8 hope i helped like a 9 year old LOL

Answer:

90ft^3

Step-by-step explanation:

5/3 = 30/x. Multiplying across: 5x = 3 times 30. Solving this gives you 5x = 150, or x = 30.

Answer:

45 degrees

Step-by-step explanation:

360 degrees is a whole circle, and there are 8 slots

360 / 8 = 45

Answer:

-7

Step-by-step explanation:

7(x+4)=-21

x+4=-21/7

x+4=-3

x=-3-4

x=-7

x=2 and y=(-2)

hope it helps...

Answer:

y = ( -2 )

x = 2

Step-by-step explanation:

4x + y = 6 ⇒ ( 1 )

x - 2y = 6  ⇒ ( 2 )

x = 6 + 2y ⇒ ( 3 )

First, let us find the value of y.

For that, we can replace x with ( 6 + 2y ).

Let us use equation 1 for that.

4x + y = 6

4 ( 6 + 2y ) + y = 6

24 + 8y + y = 6

24 + 9y = 6

9y = 6 - 24

9y = -18

Divide both sides by 9.

y = -2

Now let us find the value of x by replacing y with -2.

For that let us take equation 3.

x = 6 + 2y

x = 6 + 2 × -2

x = 6 - 4

x = 2

Answer: x<17.5

Step-by-step explanation:

Subtract  from both sides: x+2.5-2.5<20-2.5

Simplify the arithmetic: x<20-2.5

Simplify the arithmetic: x<17.5

Hope it helps!

Answer: B) 12.5

Step-by-step explanation:

Start by isolating x by subtracting 2.5 from both sides

[tex]x+2.5 < 20\\x+2.5-2.5 < 20-2.5\\x < 17.5[/tex]

This reads as "x is less than 17.5"

D can be eliminated because it is greater than 17.5

C can be eliminated because 17.5 can't be less than itself

So the answer must be B since it is less than 17.5 and greater than A

Answer:

4(4x−9)

Step-by-step explanation:

Answer:

0.125, 1/8

Step-by-step explanation:

0.5*0.5 = 0.25

0.25 * .5 = 0.125

0.5*0.5*0.5 = 0.125

Answer:

Area = 21.7 cm² (nearest tenth)

Step-by-step explanation:

A 30-60-90 triangle is a special right triangle.  The measures of its sides have a special relationship in that they are in proportion:

shortest leg : longest leg : hypotenuse =  1 : √3 : 2

So we can also write the ratio as  [tex]x : x\sqrt{3} : 2x[/tex]  where [tex]x[/tex] is the shortest side.

From inspection of the diagram, the shortest side is 5 cm

⇒ BC (height) = 5 × √3 = 5√3 cm

Now we have the height, we can calculate the area.

Area of a triangle = 1/2 x base x height

                             = 1/2 x 5 x 5√3

                             = 21.7 cm² (nearest tenth)

We let x = pounds of alloy that is 15% tin

The problem is modeled by the equation:

0.11(30) = 0.15x + 0.09(30-x)

The equation means that the amount of tin does not change. Also, the amount of alloy (total weight - weight of 15% alloy) is (30-x).

Solving for x:

3.3 = 0.15x +2.7 - 0.09x

.06x = 0.6

x = 10 lbs

30-10 = 20 lbs

10 lbs. of the 15% alloy and 20 lbs. of the 9% alloy

Answer:

125

Step-by-step explanation:

15/12 you get 125. Then multiple it by 100 and you get 125.

Answer:

SA = 224 ft^2

Step-by-step explanation:

B - base

H - height

SA - surface area

B = 8

H = 10

SA = (B×B) + 4((1/2)×(B×H))

SA = (8×8) + 4((1/2)×(8×10))

SA = 224 ft^2

Answer:

84 cm, 15 cm

Step-by-step explanation:

Check the attachment.