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3 years ago

8

Tyler has $125.00 to spend on books and CDs. He buys one book for $30.00. He wants to spend the rest on CDs that are on sale for

$9.00 each. Which of these statements is true?
a.He can't buy any CDs.

b.He can buy 11 CDs.

c.He can buy more than 11 CDs.

d.He can buy 10 CDs.

1 answer:

hjlf3 years ago

4 0

Answer:

d. He can buy 10 CDs

Step-by-step explanation:

The reason he can only buy 10 is because if the CDs are $9.00 each then you would multiply:

10 x 9 = $90.00

If you add the $30.00 of books:

$90.00 + $30.00 = $120.00

This means he does not have enough money to buy another CD. He has $5.00 left over.

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RUDIKE [14]

<em>The correct expressions are as follows:</em>

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Equivalent $343$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Not Equivalent $49$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Equivalent $7^{\frac{1}{5}} \cdot 7^{\frac{14}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Not Equivalent $49^{\frac{2}{10}} \cdot 7^{\frac{1}{5}}$

$\texttt{ }$

<h3>Further explanation</h3>

Let's recall following formula about Exponents and Surds:

$\boxed { \sqrt { x } = x ^ { \frac{1}{2} } }$

$\boxed { (a ^ b) ^ c = a ^ { b . c } }$

$\boxed {a ^ b \div a ^ c = a ^ { b - c } }$

$\boxed {\log a + \log b = \log (a \times b) }$

$\boxed {\log a - \log b = \log (a \div b) }$

<em>Let us tackle the problem!</em>

$\texttt{ }$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{1}{5}} \cdot (7^2)^{\frac{7}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{1}{5}} \cdot (7)^{2\times \frac{7}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = \boxed{7^{\frac{1}{5}} \cdot 7^{\frac{14}{5}}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{1}{5} + \frac{14}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{15}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{3}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = \boxed{343}$

$\texttt{ }$

<em>From the results above, it can be concluded that the correct statements are:</em>

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Equivalent $343$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Not Equivalent $49$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Equivalent $7^{\frac{1}{5}} \cdot 7^{\frac{14}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Not Equivalent $49^{\frac{2}{10}} \cdot 7^{\frac{1}{5}}$

$\texttt{ }$

<h3>Learn more</h3>

Coefficient of A Square Root : brainly.com/question/11337634
The Order of Operations : brainly.com/question/10821615
Write 100,000 Using Exponents : brainly.com/question/2032116

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Exponents and Surds

Keywords: Power , Multiplication , Division , Exponent , Surd , Negative , Postive , Value , Equivalent , Perfect , Square , Factor.

4 0

4 years ago

Read 2 more answers

1. What is the value of x in the equation below? -6x + 9 = 33

Alla [95]

Answer:

-4

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Cineplex operates two movie theaters in a city. The profit from the theater can be representened by the example t^3-t^2+2t-100 w

irina [24]

Complete question is;

Cineplex operates two movie theaters in a city. The profit from one theater can be represented by the example t³ - t² + 2t - 100 where t is the number of the tickets sold. The profits from the second theater can be represented by the expression t² - 2t - 300.

Which statements are true about the expression representing Cineplex's total profits in that city?

A) The total profit expression is a polynomial

B) The total profit expression has a constant term

C) The total profit expression is quadratic

D) The total profit expression is a binomial.

E) The total profit expression has four terms

Answer:

A) The total profit expression is a polynomial

B) The total profit expression has a constant term

D) The total profit expression is a binomial

Step-by-step explanation:

Profit from the first theater is;

t³ - t² + 2t - 100

While profit from second theater is; t² - 2t - 300

It means total profit is;

t³ - t² + 2t - 100 + t² - 2t - 300

This gives;

t³ - 400

Now, this is a polynomial as the highest degree is 3. So option A is correct.

Total profit equation has a constant term which is "t". Thus, option B is correct.

Total profit equation is not quadratic as the highest degree is 3. Thus, option C is wrong.

Total profit equation is Binomial because it has just 2 terms. Option D is correct.

Option E is wrong because Total profit equation doesn't have four terms.

7 0

4 years ago

Which pairs are like terms in expression 2/5y + 1/5x - 0.2y - 6 + (-2)

Gelneren [198K]

<em><u>The pair of like terms are:</u></em>

$\frac{2}{5}y \text{ and } -0.2y$

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

$\frac{2}{5}y + \frac{1}{5}x -0.2y-6+(-2)$

We have to find the pairs that are like terms in the given expression

Like terms means that, terms that have same varibale but different ( or same ) coefficients

Here in the given expression "x" and "y" are the two variables present

Arrange the like terms

$\frac{2}{5}y-0.2y+\frac{1}{5}x-6+(-2)$

So here the first two terms has same varibale "y" but different coefficients. So they form a pair of like terms

"x" is present only once . There is no other term with variable "x"

6 and -2 are constants

So the pair of like terms are: $\frac{2}{5}y \text{ and } -0.2y$

3 0

3 years ago

Can someone plz help me again :D

patriot [66]

For one boy it would be 4/5, but since its two boys, then it would be 4/5 for the first boy and 3/5 for the second because before any of the names are drawn, there are 4 boys names in the bag and 5 girls names. For the second boy, the would be 3 boys names and 5 girls names in the bag (assuming that the first name drawn was a boys).

5 0

4 years ago