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VladimirAG [237]
3 years ago
5

A technology company produces two types of calculators.

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0

10 ≤ x ≤ 30, x < 2y, x < 40.

Solution:

Given x is the number of graphing calculators produced daily and

y is the number of scientific calculators produced daily.

Step 1: A company produce atleast 10 and not more than 30 graphing calculators per day.

⇒ 10 ≤ x < 30

Step 2: Each day, the number of graphing calculators cannot exceed twice the number of scientific calculators produced.

⇒ x < 2y

Step 3: The number of scientific calculators cannot exceed 40 per day.

⇒ x < 40

Hence, the constraints are 10 ≤ x ≤ 30, x < 2y, x < 40.

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Troyanec [42]

Answer:

(v+8)8 is 8v + 64

Step-by-step explanation:

Because You have to multiply whats outside the parentheses by whats inside them. Since you cant multiply 8 times x because you don't know x value you just put 8x.

8 0
3 years ago
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A line with slope $\frac 23$ contains the point $P(-18, -12)$. What is the $x$-intercept of the line?
Vadim26 [7]

Answer: Therefore, the x-intercept of the line is 0

A line with slope 2/3 contains the point P(-18, -12). What is the x intercept of the line?

Step-by-step explanation:

Given;

Slope m = 2/3

Straight line equation is given as

y = mx+c

Where m = slope and c = intercept on y axis

For this case,

y = 2/3x + c .....1

At point (-18,-12), Eqn 1 becomes;

-12 = 2/3(-18) + c

-12 = -12 + c

c = 0

The straight line equation becomes

y = 2/3x + 0

Therefore at y = 0 the value of x = 0

Therefore the intercept is at (0,0)

Therefore, the x-intercept of the line is 0

6 0
3 years ago
A bag of candy has a guaranteed ratio of 4:3 caramels to toffee. If a bag has 21 toffees in it, how many caramels are in the bag
Anit [1.1K]

Answer:

28?

Step-by-step explanation:

Take 3 toffees, and multiply it by 7 to get 21 toffees. Then, you take 4 caramels and multiply THAT by 7 to get 28

28 toffees

8 0
3 years ago
The base of a hexagonal prism has an area of 30 square millimeters. The height of the prism is 6 millimeters. Find the volume of
DaniilM [7]

Answer:

180 cubic millimeters

Step-by-step explanation:

The volume of a hexagonal prism can be found with the following formula:

V=\frac{3\sqrt{3}}{2} a^{2}  h

The area of a hexagon is:

A= \frac{3\sqrt{3}}{2}a^{2}

Upon, closer inspection, you'll notice that the formula for area of a hexagon is in the formula for volume of a hexagonal prism.

We already know the area of the hexagon base, so we can just plug it in into the volume formula.

V=30h

We ale aso know the height, which we can plug in.

V=30(6)

Simplify.

V=180

6 0
3 years ago
How do I solve bh+hr=25 when solving for b
Alexxx [7]
Bh + hr = 25

you can factor out an h from the left side of your equation:

h(b + r) = 25 ... divide both sides by h
b + r = (25/h) ... subtract r
b = (25/h) - r
3 0
3 years ago
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