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Nataly_w [17]
2 years ago
10

At a local bodega, the cost of a bottle of soda at the corner store is $1.20, and the cost of a bottle of juice is $1.05. What w

ould it cost to get 6 bottles of soda and 4 bottles of juice? What would it cost to get x bottles of soda and y bottles of juice?

Mathematics
1 answer:
irinina [24]2 years ago
5 0

<u>Part</u><u> </u><u>1</u> 6(1.20)+4(1.05)=$11.40

<u>Part</u><u> </u><u>2</u> 1.20x+1.05y

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Help whats 13×2/3?<br>I give brainliest ofc :)​
Alchen [17]
8 2/3 ooooooorrrrrrrr 8.6
4 0
2 years ago
Which is the greatest common factor of 8x7, and 24x5y3
Doss [256]

Answer:

You would be correct the GCF is 8x^5.

Step by Step Explanation:

So the GCF is basically a value that can go into or be factored out of two or more other numbers.

For instance, the greatest common factor of 10 and 20 is 10, since 10 is the greatest number that goes into 10 and 20 resulting in a integer.

Its a bit different with variables and exponents.

For instance, normally a number needs to be able to be divided nicely by the GCF. In exponents, the lowest exponent is the one you use.

If you had x^4 x^6 x^8, the GCF is x^4. It doesnt need to divide each exponent, but needs to be able to be subtracted by it,

You can think of it like how division and multiplication works with exponents.

With variables, it is similar to normal numbers.

The coefficent of the GCF must go into the coefifcent of the variables.

The variables also have to be the same, for instance x can never have a GCF of y.

So remembering this, lets find the GCF of your problem

We see the expoent of the first number is 7. The exponent of the other is 5.

Because we look at the lowest exponent as the GCF, the exponent 5 would be the GCF of the two values.

Then looking at the 8x and 24x, we know that 8x must be the GCF, since 8 equally divides between the 8 and 24, and they both have a x.

So combining the 5 exponent and the 8x:

8x^5

So this is your answer.

4 0
3 years ago
What is the value of c such that <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%2B14x%2Bc" id="TexFormula1" title="x^{2}+14x+c" a
suter [353]

Answer:

49

Step-by-step explanation:

To find the 'c' value c=(b/2) to the second power. divide the coefficient of x by 2 and square the result.

3 0
3 years ago
Read 2 more answers
the arrow on the spinner will me spun one more time. based on these results, what is the probability that the arrow will land on
liberstina [14]

Answer:

Probability of the next spin landing on colour purple = (1/5) = 0.20

Step-by-step explanation:

Complete Question

A spinner is divided into four colored sections that are not of equal size: red blue purple and orange. The results of a number of spins is given as

Orange: 9

Red: 15

Blue: 24

Purple: 12.

The arrow on the spinner will be spun one more time. Based on these results, what is the probability that the arrow will land on the purple section?

The probability of an event based on trials is given as the number of successes for that event, n(E), divided by the total number of trials, n(S)

P(R) = n(E) ÷ n(S)

Number of successes for the spinner landing on purple = 12

total Number of trials = 9 + 15 + 24 + 12 = 60

Probability of the next spin landing on colour purple = (12/60) = (1/5) = 0.20

Hope this Helps!!!

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=16y%20%5E%7B5%7D%20-%2012y%20%5E%7B4%7D%20%2B%204y%20%5C%5C%20%5C%5C%2064%20a%20%5Ctimes%20%5E
Shkiper50 [21]

Answer:

see explanation

Step-by-step explanation:

Assuming you require to factorise the expressions

16y^{5} - 12y^{4} + 4y ← factor out 4y from each term

= 4y(4y^{4} - 3y³ + 1)

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

64ax² - 49ay² ← factor out a from each term

= a(64x² - 49y²) ← this is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

64x² - 49y²

= (8x)² - (7y)²

= (8x - 7y)(8x + 7y)

then

64ax² - 49ay² = a(8x - 7y)(8x + 7y)

7 0
1 year ago
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