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Stella [2.4K]
3 years ago
14

Find the value of x and the value of y. A.x = 15, y = 10 B.x = 20, y = 50 C.x = 50, y = 10 D.x = 50, y = 20

Mathematics
1 answer:
Llana [10]3 years ago
3 0

Answer:

X = 50

Step-by-step explanation:

(5x - 100) + (x - 20) = 180 (sum of angle on a straight line is = 180)

5x + x -100 -120 = 180

6x - 120 = 180

6x = 180 + 120

6x = 300

x = 300/6

x = 50

For y

3y + y + 140 = 180

4y = 180 -140

4y = 40

y = 40/4

y = 10

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Beach Cruises prints brochures and fliers to advertise their dolphin watching tours. To print, the brochure requires three pages
Ivanshal [37]

Answer:

To minimize their costs, Beach Cruises should print 80 brochures and 130 fliers.

Step-by-step explanation:

Total number of sheets available = 500 sheets

For brochures;

1 brochure contains 3 pages

Minimum number of brochures that should be printed = 80

Cost of 1 brochure = 10 cents

Number of sheets required to print 80 brochures = 80 × 3 = 240 sheets

For fliers;

1 flier contains 2 pages

Minimum number of fliers to be printed = 100

cost of 1 flier = 6 cents

Number of sheets required to print 100 fliers = 100 × 2 = 200 sheets

Total number of sheets that will be used to print at least 80 brochures and 100 fliers = 240 + 200 = 440 sheets

number of sheets left = 500 - 440 = 60 sheets

After Beach cruises have printed the minimum required 80 brochures and 100 fliers, they are left with 60 free sheets of paper.

Since it is cheaper for Beach cruises to print fliers (at 6 cent per flier) than brochures (at 10 cent per brochure), then it is advisable to use the remaining 60 sheets to print fliers, so as to minimize costs.

Since 1 flier contains 2 pages,

with 60 sheets, the number of fliers that can be printed = 60/2 = 30 fliers

cost of 30 fliers = 30 × 6 cents = 180 cents

If the remaining 60 sheets are used to print brochures;

1 brochure has 3 pages,

therefore number of brochures to be printed = 60/3 = 20 brochures

cost of 20 brochures = 20 × 10 cents = 200 cents

This is why it is cheaper to print extra fliers at 180 cents.

Therefore total number of prints will be;

Brochures = 80

Fliers = 100 + 30 =130

3 0
3 years ago
Please show the work for it as well thank you
AlexFokin [52]

Answer:

2x^4+4x^2+2

Step-by-step explanation:

f(x) = x^2+1

g(x) = 2x^2

g(f(x))=

Replace x in the function g(x) with the function f(x)

         =2( x^2+1)^2

         = 2( x^2 +2x^2 +1)

         = 2x^4+4x^2+2

       

4 0
3 years ago
Research biologist released 300 chicken turtles into a wetland with hopes of repopulating the habitat. After 7 years, the resear
nikitadnepr [17]
550-300=250
one year: 250/70=25/7 which will be rounded up to 4
250*2-(4*2)=500-8=492
492+300=792
Which means that around 792 chicken turtles in the habitat 12 years after the initial release.

4 0
3 years ago
Please help with clear explanation
Arlecino [84]

Answer:

102

Step-by-step explanation:

You can split that shape up into 2 rectangles to make it easier get the area of each rectangle and add them together.

Step 1

Identify the width and height

Step 2

Multiply the sides to get the answer

For example if we split the shape we will have 9,10 and 2,6

9 times 10 is 90

and 2 times 6 is 12

Add the 2 and get 102

Hopefully this helped.

8 0
3 years ago
Can someone help me with these please.
ELEN [110]

Answer: Barbara did not include a variable in the term 1.49, which must represents the number of bottles of iced tea she needs to sell.

Step-by-step explanation:

Let be "x" the number of bottle of water Barbara needs to sell and "y"  the number of bottle of iced tea she needs to sell.

She sells iced tea for $1.49 per bottle and water for $1.25 per bottle, so she can write the following equation in order to calculate the number of bottles she needs to sell to earn $100:

1.25x + 1.49y = 100

Since Barbara wrote this equation:

1.25x + 1.49 = 100

We can conclude that the error Barbara made in writing the equation was: She did not include a variable in the term 1.49, which must represents the number of bottles of iced tea she needs to sell.

8 0
3 years ago
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