A bag contains 8 blue marbles, 6 red marbles, and 4 green marbles. What is the probability of se

On an average day, a garden snail can travel about 0.05 mile. The snail travels 0.2 times as far as the average distance on day

daser333 [38]

Answer: 0.04 miles

SOLUTION

Given,

Average daily distance of a garden = 0.05 mile.

Distance traveled on day 1 = 0.2 times as far as the average distance

= 0.2 x 0.05 miles

= 0.01 miles

Distance traveled on day 2 = 0.6 times as far as the average distance

= 0.6 x 0.05 miles

= 0.03 miles

Total distance traveled in two days

= Distance traveled on day 1 + Distance traveled on day 2

= 0.01 miles + 0.03 miles

= 0.04 miles

6 0

3 years ago

Someone please help me

aliina [53]

Answer:

8. Louis

9. Rose; Raymond

Step-by-step explanation:

8. An exponent represents the number of times the base appears as a factor in the product.

We use a coefficient to signify repeated addition: 3x means x+x+x.

We use an exponent to signify repeated multiplication. x³ means x·x·x.

So, the expression ...

$4^2\cdot 4^5\text{ means }(4\cdot4)\cdot(4\cdot4\cdot4\cdot4\cdot4)$

You can see that the factor 4 appears 7 times in the product, so would be represented in exponential form as ...

$4^2\cdot4^5=\boxed{4^7}$

Louis has correctly observed this fact. In general, we see that multiplying powers of the same base causes those powers to be added.

__

9.

<u>Part A</u>. Rose is correct for the same reason as in problem 8.

5^5 · 5^2 = 5^(5+2) = 5^7

<u>Part B</u>. Raymond is correct. We know that division cancels similar terms from the numerator, so ...

$\dfrac{7^9}{7^5}=\dfrac{7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7}{7\cdot7\cdot7\cdot7\cdot7}=7\cdot7\cdot7\cdot7=7^{9-5}=7^4$

__

The rules of exponents we're using here are ...

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

4 0

3 years ago

Can someone help me with this?

Nimfa-mama [501]

Answer:

Kite x=1, y=7

Step-by-step explanation:

It is a kite.

The two lines on the bottom corners of the kite mean they have the same value.

X=1 so 3x+4

3 *1 +4=7

And: x+6

1+6=7.

X+4=1+4=5.

Y=7 so y-2

7-2=5.

Hope it helped you

6 0

2 years ago

Charlene makes $10 per hour babysitting and $5 per hour gardening. She wants to make at least $80 a week, but can work no more t

Stolb23 [73]

System of inequalities:

$(1) \ 10x+5y\geq 80 \\ \\ (2) \ x+y\leq 12$

Graph is shown below.

<h2>Explanation:</h2>

Let:

x: Number of hour Charlene makes babysitting

y: number of hour Charlene makes gardening

We can represents each statement using inequalities as follows:

<h3>First statement:</h3>

<em>Charlene makes $10 per hour babysitting and $5 per hour gardening. She wants to make at least $80 a week,</em>

The amount of money she makes babysitting is:

$10x$

The amount of money she makes gardening is:

$5y$

She wants to make at least $80 a week

<em>At least </em>in this context means that the minimum amount of money she can makes is $80. In other words, if a is at least b we write:

$a\geq b$

Then, in this context:

$10x+5y\geq 80$

<h3>Second statement:</h3>

<em>She can work no more than 12 hours a week. </em>

<em>No more </em>in this context means that the maximum numbers of hours she can work in a week is 12. In other words, if a no more than b we write:

$a\leq b$

So:

$x+y\leq b$

So, our system of inequalities would be:

$(1) \ 10x+5y\geq 80 \\ \\ (2) \ x+y\leq 12$

By using graphing tool, we get the graph below. The solution is that where both the region of the first and second inequality overlap. Keep in mind that the symbols ≥ ≤ tells us that $80 and 12 hours respectively are included in our solution..

<h2>Learn more:</h2>

Inequalities: brainly.com/question/12890742

#LearnWithBrainly

8 0

3 years ago

Find the equation of the line (in slope intercept form) with xx-intercept (4.5,0) and yy-intercept (0,-5.4) .

GaryK [48]

Hello :
let the equation : y = ax+b
<span>xx-intercept (4.5,0) : 0 = a(4.5) +b .... (1)
</span><span>yy-intercept (0,-5.4) .: - 5.4 = a(0)+ b .....(2)
by (2) : b = - 5.4
subsct in (1) : 4.5a -5.4 = 0
a = 5.4/4.5
a = 54/45
a = 6/5
</span><span>the equation of the line (in slope intercept form) is : y =(6/5)x - 5.4</span>

8 0

3 years ago