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insens350 [35]
3 years ago
9

Evaluate. 5x + 2y2-y3; x =2 and y=4

Mathematics
1 answer:
Elanso [62]3 years ago
7 0
5x+2y2-y3:x=2 and y=4

5(2)+2(4)2-(4)3

10+8(2) -12

10+16-12

26-12

=14
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Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation c
-Dominant- [34]

Answer:

c + h = 5 and

0.75c + 1.10h = 4.55

Step-by-step explanation:

Assume that Mike bought only cookies and hot dogs.

The total can be represented as:

Cookies + Hot\ Dogs = 5 --- (1)

And the amount spent can be represented as:

Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55 --- (2)

Required

Determine the system of equation

Let c represents the number of cookies and h, number of hot dogs.

Cookies + Hot\ Dogs = 5 implies c + h = 5

And

Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55

Cost of cookies = 0.75 * c

Cost of hot dogs = 1.10 * h

So, we have:

0.75c + 1.10h = 4.55

Hence, the equations are:

c + h = 5 and

0.75c + 1.10h = 4.55

Solving for c and h

Make c the subject in c + h = 5

c = 5 - h

Substitute 5 - h for c in 0.75c + 1.10h = 4.55

0.75(5- h) + 1.10h = 4.55

3.75- 0.75h + 1.10h = 4.55

3.75 +0.35h = 4.55

Collect Like Terms

0.35h = 4.55 - 3.75

0.35h = 0.8

Solve for h

h = 0.8/0.35

h = 2.28571428571

h =2 -- approximated

Recall that:

c = 5 - h

c = 5 - 2

c =3

5 0
3 years ago
In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?
kotegsom [21]

The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

Step-by-step explanation:

The given is,

                   In ΔWXY, ∠Y=90°

                        XW = 53

                         YX = 28

                        WY = 45

Step:1

             Ref the attachment,

             Given triangle XWY is right angled triangle.

             Trigonometric ratio's,

                              Cos ∅  = \frac{Adj}{Hyp}    

             For the given attachment, the trigonometric ratio becomes,

                              Cos ∅  = \frac{XY}{XW}.....................................(1)

             Let, ∠X = ∅

             Where, XY = 28

                         XW =  53

             Equation (1) becomes,

                                 Cos ∅  = \frac{28}{53}

                                 Cos ∅ = 0.5283

                                        ∅ = cos^{-1} (0.5283)

                                        ∅ = 58.109°

Result:

          The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

             

4 0
3 years ago
Is 5/100 a repeating decimal?
notka56 [123]

Answer:

no

Step-by-step explanation:

it is 0.05

3 0
3 years ago
Read 2 more answers
What equation represents this sentence? 5 less than a number is 12. n−5=12 5=12−n 5=n−12 5−n=12
Lana71 [14]

Answer:

n-5=12

This is the answer

8 0
2 years ago
1. Which of the following is a perfect square number? A. 24 B. 125 C. 121 D. 8 20​
zepelin [54]

Answer:

125 is the square of 25 I hope

6 0
2 years ago
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