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evablogger [386]
2 years ago
11

You got paid $343 for 7 hours of work. Find the unit rate.

Mathematics
2 answers:
pshichka [43]2 years ago
7 0

Answer:

$49 / hour

Step-by-step explanation:

343/7 = $49/hour

8_murik_8 [283]2 years ago
3 0

Answer:

49

Step-by-step explanation:

You do 343÷7 which equals your sum

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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated
Illusion [34]

Answer:

x=-2,0,3

Step-by-step explanation:

We have been given a function f(x)=15x^3-15x^2-90x. We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

15x^3-15x^2-90x=0

Now, we will factor our equation. We can see that all terms of our equation a common factor that is 15x.

Upon factoring out 15x, we will get:

15x(x^2-x-6)=0

Now, we will split the middle term of our equation into parts, whose sum is -1 and whose product is -6. We know such two numbers are -3\text{ and }2.

15x(x^2-3x+2x-6)=0

15x((x^2-3x)+(2x-6))=0

15x(x(x-3)+2(x-3))=0

15x(x-3)(x+2)=0

Now, we will use zero product property to find the zeros of our given function.

15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0

15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0

\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0

x=0\text{ (or) }x=3\text{ (or) }x=-2

Therefore, the zeros of our given function are x=-2,0,3.

7 0
3 years ago
I need help for number 53
Monica [59]
You are correct. The answer is D 5:3
4 0
3 years ago
Read 2 more answers
What is meant by unit rate
Ksju [112]

Answer:

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

4 0
3 years ago
Four times the sum of three consecutive odd integers is seven hundred sixty-five less than three times the product of the larger
Andre45 [30]

Answer:

The consecutive odd integers are (15, 17, 19) or (-17, -15, -13).

Step-by-step explanation:

Let the three consecutive odd integers be: x-2,x\ and \ x+2

The condition given is:

4[x-2+x+x+2]=3x(x+2)-765

Solve this for <em>x</em> as follows:

4[x-2+x+x+2]=3x(x+2)-765\\4\times 3x=3x^{2}+6x-765\\3x^{2}-6x-765=0\\x^{2}-2x-255=0\\x^{2}-17x+15x-255=0\\x(x-17)+15(x-17)=0\\(x-17)(x+15)=0

  • If (x-17)=0 then the value of <em>x</em> is 17.

       The odd numbers are:

          x-2=17-2=15\\x=17\\x+2=17+2=19

  • If (x+15)=0 then the value of <em>x</em> is -15.

       The odd numbers are:

         x-2=-15-2=-17\\x=-15\\x+2=-15+2=-13

Thus, the consecutive odd integers are (15, 17, 19) or (-17, -15, -13).

7 0
3 years ago
A survey of 260 families show that 99 had dog 76 had cat 34 had dog and cat 98 had neither a cat nor a dog nor a parakeet 8 had
Archy [21]

Answer:

<u>Option D. 21</u>

Step-by-step explanation:

The question is as shown in the attached figure 1

The Venn diagram representing the problem is the attached figure 2

D ⇒ Dog , C⇒ Cat  and P ⇒ parakeet

Let the The families had parakeet only = X

A survey of 260 families show that:

99 had dog

76 had cat

34 had dog and cat

98 had neither a cat nor a dog nor a parakeet

8 had a cat a dog and a parakeet

So,

The families had a dog and a cat only = 34 - 8 = 26

The families had a dog only = 99 - (26 + 8 ) = 65

The families had a cat only = 76 - (26 + 8) = 42

∴ X = 260 - ( 98 + 8 + 26 + 65 + 42 ) = 260 - 239 = 21

So, The families had a parakeet only = 21

<u>The answer is option D</u>

5 0
3 years ago
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