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lara31 [8.8K]
3 years ago
15

Simplify -3√2 + 3√8

Mathematics
1 answer:
melamori03 [73]3 years ago
3 0

Answer:

Step-by-step explanation:

-3√2+3√8

=-3√2+3×2√2

=-3√2+6√2

=3√2

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Your computer supply store sells two types of inkjet printers. The first, type A, costs $267 and you make a $24 profit on each o
In-s [12.5K]

The first, type A, costs $267 and you make a $24 profit on each one.

The second, type B, costs $127 and you make a $20 profit on each one.

number of printers = 170

Let x be the number of type A printers

Let y be the number of type B printers

x + y < = 170

you need to make at least $3760 profit on them

profit for type A is 24 and type B is 20

so 24x + 20y >= 3760

Our constraints are

x + y < = 170

24x + 20y >= 3760

x>=0  and y>=0

Cost function is C= 267 x + 127 y

Now we graph all the constraints

Now we take all the end points

corner points are

(90,80), (156.667,0) (170,0)

We plug in each point in our cost function

C= 267 x + 127 y

(90,80) => 267(90) + 127(80) = 34,190

(156.667,0) => 267(156.667) + 127(0) = 41,830

5 (170,0)=> 267(170) + 127(0) = 41,390

Here minimum cost is 34,190 at (90,80)

So we order 90 printers of type A  and 80 printers for type B in order to minimize the cost

5 0
2 years ago
Two sides of a right triangle have lengths of 56 centimeters and 65 centimeters. the 3third side is not the hypotenuse. how long
Alik [6]

Answer:

33 centimeters

Step-by-step explanation:

Because the hypotenuse is the longest side of the triangle, the hypotenuse in the question is 65. The way to solve the question would be to plug the numbers into the Pythagorean theorem.

56^2 + b^2 = 65^2

b^2 = 1089

b = 33

8 0
3 years ago
17. What's the difference between 1,968 and 3,000? Check your answer using inverse operations.
Georgia [21]
The difference between 1,968 and 3,000 is 1,038. You can check the answer using inverse operations by adding 1,038 and 1,968. If it gives 3,000 then the answer is right. 3, 000 - 1,968 = 1,038.

1,038 + 1,968 = 3,000
6 0
3 years ago
Write each number as a product using the GCF as a​ factor, and apply the Distributive Property.
Rasek [7]

The distributive property: a(b + c) = ab + ac.

Factors of 38: 1, 2, 19, 38

Factors of 57: 1, 3, 19, 57

GCF(38, 57) = 19

38 + 57 = 19 · 2 + 19 · 3 = 19(2 + 3)

6 0
3 years ago
about 70,000 people live in a circular region with a 30-mile radius. find the population density in people per square mile.
bezimeni [28]

Solve for the area of the circular region first:

A = pi*r^2

A = pi*(30 mi)^2

A = 2827.43 mi^2

Density = 70000 people/2827.43 mi^2

Density = 24.76 = 25 people/mi^2 <--ANSWER Plz vote brainnliest


4 0
3 years ago
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