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labwork [276]
3 years ago
5

The price of the box of 10 markers is $7. The price of the box of 24 markers is $14. All prices without tax, and the price of th

e boxes is the same. WILL MARK BARINLEIST OR WHATEVER YOU CALL IT I WILL
a) Write an equation which tell the price Y for the number of markers X
Mathematics
1 answer:
stepladder [879]3 years ago
6 0

Answer:

see below

Step-by-step explanation:

10 markers  =7 dollars

Divide each side by 10

10/10 = 7 /10

1 marker = 7/10

y =7/10 x  where y is the cost and x is the number of markers

24 markers  =14 dollars

Divide each side by 24

24/24 = 14 /24

1 marker = 7/12

y = 7/12 x  where y is the cost and x is the number of markers

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PLEASE HELP!! Algebra 2
lawyer [7]

Answer:

No

Edit:

Yes, based on original equation. (Credit to greenpumpkin for correction)

Step-by-step explanation:

For this problem, we simply need to find the values of x that can make the equation true.  So, let's begin by isolating the "x" variable.

sqrt(2x + 13) = x + 5

[sqrt(2x + 13)]^2 = (x + 5)^2

2x + 13 = x^2 + 10x + 25

0 = x^2 + 8x + 12

Note, we can remove the sqrt method by squaring both sides of the equation.  Doing this, we see we have a quadratic equation meaning we can apply the quadratic formula to find solutions for x.

[-b +/- sqrt( b^2 - 4(a)(c) ) ] / 2a

Let a = 1, b = 8, and c = 12

[-8 +/- sqrt( (8)^2 - 4(1)(12) ) ] / 2(1)

= [-8 +/- sqrt( 64 - 48 ) ] / 2

= [-8 +/- sqrt(16) ] / 2

= [ -8 +/- 4 ] / 2

So, x = [ -8 + 4 ] / 2  and x = [-8 - 4 ] / 2

x = [-4] / 2 = -2  and x = [-12] / 2 = -6

Hence, the two values of x that can solve this quadratic equation are x = -2 and x = -6.

Therefore, we know that x = -6 is not extraneous, meaning it is a solution to our equation.

Cheers.

----------------------------------------------------

Edit:

Plugging the value of -6 back into the original equation, we get the following:

sqrt(2x + 13) = x + 5

sqrt(2(-6) + 13) = (-6) + 5

sqrt (1) = -1

1 != -1

Given that 1 cannot equal negative 1, we can say that x = -6 is an extraneous solution. (Credit to greenpumpkin for correction)

8 0
3 years ago
Annie's cafe borrows $6100 at 6% for 290 days. Find the total amount that must be repaid after 290 days. (Use a 365 day year.)
Galina-37 [17]
Given:
amount borrowed $6,100
interest rate 6% - assuming annual interest rate
term - 290 days of a 365 day year.

This is a simple interest computation.

Interest = Principal * interest rate * term
Interest = 6,100 * 6% * 290/365
Interest = 290.79

Total payment at the end of the 290 term would be $6,390.79. 

Principal + interest → 6,100 + 290.79 = 6,390.79
8 0
3 years ago
EASY POINTS (attached)
solong [7]
Answer for the first one - it's complicated, but that maths is correct

I kind of cheated and did it a different way than they'd expect. By doing 24 squared, that gives you 576. 

since both angles are 45 degrees, then the sides are equal lengths. Therefore x squared times 2 = 576.

Because of this, x squared = 576 divided by 2, which equals 288.
Therefore the square root of 288 = 12 square root 2
5 0
3 years ago
Read 2 more answers
Find the sum and difference (first mixed number minus the second mixed number) for the following pair of mixed numbers. The answ
xz_007 [3.2K]

Answer:

Sum = 15 8/15, Difference = 1 2/15

Step-by-step explanation:

8⅓, 71/5

A. Sum

8⅓ + 7 1/5

Convert to improper fraction

25/3 + 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) + (36×3)] / 15

[125 + 108] / 15

233 / 15

Convert to mixed fraction

15 8/15

B. Difference

8⅓ – 7 1/5

Convert to improper fraction

25/3 – 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) – (36×3)] / 15

[125 – 108] / 15

17 / 15

Convert to mixed fraction

1 2/15

SUMMARY:

Sum = 15 8/15, Difference = 1 2/15

3 0
3 years ago
How do you do number 9?
Ket [755]
I think you just add all the sides even the ones you don't see. The left side of the shape is 6m as well as the right. and the same with the 4s. The answer is 36.
3 0
3 years ago
Read 2 more answers
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