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Step2247 [10]
3 years ago
15

Rank and alice are penguins. at birth, frank's beak was 1.95 inches long, while alice's was 1.50 inches long. homework help ✎ fr

ank's beak grows by 0.25 inches per year and alice's grows by 0.40 inches per year. write an equation to represent the length of each penguin's beak in x years. how old will they be when their beaks are the same length?
Mathematics
1 answer:
miskamm [114]3 years ago
5 0
<span>F for Frank, A or Alice. F(initial)=1.95 inches A(initial)=1.50 inches Frank's equation at .25 inches per year and t representing year variable. F=1.95+.25t Alice's equation at .40 inches per year and t representing year variable. A=1.5+.40t To figure out how old they will be when their beaks are the same lengths set the equations equal to eachother as the equations are length. 1.95+.25t=1.5+.40t .45=.15t t=3 years</span>
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Sherrie invested some money at 6% interest. Sherrie also invested $249 more than 4 times that amount at 12%. How much is investe
Anon25 [30]

Answer:

  • 6%: $1776
  • 12%: $7353

Step-by-step explanation:

Let x represent the amount invested at 6%. Then the amount invested at 12% is 4x+249. Sherrie's interest is ...

  0.06x +0.12(4x +249) = 988.92

  0.54x + 29.88 = 988.92

  0.54x = 959.04

  x = 959.04/0.54 = 1776

  4x+249 = 7353

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Sherrie invested $1776 at 6% and $7353 at 12%.

4 0
3 years ago
How to solve 16 * 12.5
Mariana [72]

Answer: 200

Step-by-step explanation:

First I would do it like this.

12.5

X. 16

—————-

6 times 5 is 0, carry the 3, 6 times 2 is 12 and add 3 from the other which is 15, put the 1 from the 15 to the one next to the 12. 6 times 1 is 6 plus 1 is 7 which now you have 750. 5 times 1 is 5, 2 times 1 is 2, 1 times 1 is 1. It should look like this now.

12.5

X 16

—————

750

+ 1250

——————-

Which is 8750 but wait. Where is the decimal? Well, there is only one number behind the decimal so it is 875.0 or 875.

5 0
3 years ago
MODELING WITH MATHEMATICS A farmer plants a garden that contains corn and pumpkins. The total area (in square
laiz [17]

Answer:

The equation in standard form that models area of pumpkins is:

A_p = A_G - A_c

and the area is: x^2+8x+2

Step-by-step explanation:

Given that the garden has corn and pumpkins

The expressions are:

Total area of garden: A_G = 2x^2+5x+4

Area of Corn: A_c = x^2-3x+2

Area of Pumpkins: A_p = ?

The sum of areas of corn and pumpkins is the total area of the garden.

It can be expressed mathematically as:

A_G = A_c+A_p

If we have to find the area of pumpkins,

A_p = A_G - A_c

Putting the values

A_p = (2x^2+5x+4) - (x^2-3x+2)\\A_p = 2x^2+5x+4-x^2+3x-2\\A_p = 2x^2-x^2+5x+3x+4-2\\A_p = x^2+8x+2

The equation in standard form that models area of pumpkins is:

A_p = A_G - A_c

and the area is: x^2+8x+2

3 0
2 years ago
What is the value of a?
bearhunter [10]

Answer:

the second option : 5 1/3

Step-by-step explanation:

the height (h) in such a right-angled triangle is based on the 2 segments of the baseline : 3 and a

h = 4

the formula is h = sqrt(a×b)

with a and b being the baseline segments.

so,

4 = sqrt(3×a)

16 = 3×a

a = 16/3 = 5 1/3

8 0
2 years ago
2. You bought items at Best Buy totaling $290.76. You have a 20%
vovangra [49]

Answer:

Discount = $290.76 × 0.2 = $58.15

Cost After Discount = $290.76 - $58.15 = $232.61

Sales Tax = 0.0625 × $232.61 = $14.56

How Much You Pay = $232.61 + $14.56 = $247.17

Step-by-step explanation:

Discount:

290.76 × 0.2* = 58.152

Round that to 58.15

* Turn 20% into a decimal (0.2)

Cost after Discount:

290.76 - 58.15 = 232.61

Sales Tax:

First turn 6.25 % into a decimal. Which would be 0.0625.

0.0625 × 232.61* = 14.556875

Then we round to the nearest hundredth and you get 14.56.

* We us the amount after the discount instead of the original price.

How much you pay:

232.61 + 14.56 = 247.17

8 0
3 years ago
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