Greg is recording the changes in his bank account balance. In the morning, he records a deposit of $7. In the afternoon, he records a purchase of
$8
Create two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase. Move numbers
to the lines to create the expressions.



Expression a: _-_
Expression b: _-_
Choices -8, -7, 7, 8

Answer:

[tex]\sqrt[9]{10}[/tex]

Step-by-step explanation:

When you're multiplying radicals you start by multiplying inside the radical. Break it down so it's easier for you:

1.  [tex]\sqrt{15}*\sqrt{6} = \sqrt{90}[/tex] beacause 15 * 6 = 90

2. The next step is to simplify that radical. You simplify by finding factors of that number. The factors of 90 are:

You want to take the biggest factors of that number (yours is 9 * 10). After that you are going to break it down more. What are the factors of 9 and what are the factors of 10? Well the biggest factors of 9 are 3 * 3 and the biggest factors of 10 are 5 * 2, so 10 cannot be broken down anymore because it doesn't have two of the same numbers so 10 is going to stay the same, but 9 has two of the same number (3). What we're left with is [tex]\sqrt[3]{10}[/tex] because the same numbers stay out of the radical and the single number stays inside.

3. We can't forget about the 3 that we left out, so what we're going to do is write [tex]3 *\sqrt[3]{10}[/tex]. When you multiply that out you keep the outside with the outisde which results in the answer being [tex]\sqrt[9]{10}[/tex] because this cannot be simplified anymore.

Answer: 207 Remainder 0

Step-by-step explanation:

Answer:

  600 kl

Step-by-step explanation:

The volume represented by a length of 20 m, a breadth of 10 m, and a depth of 3 m is ...

  V = (20 m)(10 m)(3 m) = 600 m³

1 m³ = 1 kl

The volume of water that should be removed is 600 kl.

Using the z-distribution, it is found that the p-value is of 0.03.

At the null hypothesis, it is tested if the proportion is of 0.5, that is:

[tex]H_0: p = 0.5[/tex]

At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:

[tex]H_a: p \neq 0.5[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are: [tex]p = 0.5, n = 150, \overline{p} = \frac{62}{150} = 0.4133[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.4133 - 0.5}{\sqrt{\frac{0.5(0.5)}{150}}}[/tex]

[tex]z = -2.12[/tex]

The p-value is found using a z-distribution calculator, with z = -2.12 and a two-tailed test, as we are testing if the mean is different of a value, hence it is of 0.03.

To learn more about the use of the z-distribution for hypothesis tests, you can take a look at https://brainly.com/question/16313918

The distance in given time t is determined by substituting the value of time and solving the equation.

At 2 hours, the traveler is 725 miles from home.

At 3 hours, the distance is constant, at 880 miles.

The total distance from home after 6 hours is 1,062.5 miles.

Given that,

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.

D(t) = 300t + 125

We have to determine,

Which times and distances are represented by the function?

According to the question,

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.

1. The starting distance at 0 hours is ;

At [tex]0 \leq t < 2.5[/tex]

Then,

[tex]\rm D(t) = 300t + 125 ;\\\\\ D(0) = 300(0) + 125 = 125 \ miles[/tex]

The starting distance, at 0 hours, is 125 miles.

2. The distance at 2 hours is,

[tex]\rm D(t) = 300t + 125 ;\\\\\ D(2) = 300(2) + 125\\\\ D(2) =600+125\\\\ D(2) = 725 \ miles[/tex]

At 2 hours, the traveler is 725 miles from home.

3. The distance at t = 2.5 hours is,

At 2.5 ≤ t ≤ 3.5

D(2.5) = 880 miles (Fixed)

At 2.5 hours, the traveler is 880 miles from home.

4. The distance at t = 3 hours is,

2.5 ≤ t ≤ 2.5

D(3) = 880 miles

At 3 hours, the distance is constant, at 880 miles.

5. The distance at t = 6 hours is,

3.5 < t ≤ 6

[tex]\rm D(t) = 300t + 125 ;\\\\\ D (6)= 75(6) + 612.5\\\\ D(6) = 450 + 612.5\\\\D(6) = 1062.5 miles[/tex]

The total distance from home after 6 hours is 1,062.5 miles.

For more details about Average distance refer to the link given below.

https://brainly.com/question/25969947

Clearly, |S| = 50.

Count the multiples of 2 between 1 and 50:

⌊50/2⌋ = ⌊25⌋ = 25

(where ⌊x⌋ denotes the "floor of x", or the largest integer that is smaller than or equal to x; in other words, round down to the nearest integer)

Count the multiples of 3 between 1 and 50:

⌊50/3⌋ ≈ ⌊16.667⌋ = 16

Since LCM(2, 3) = 6, the sets of multiples of 2 and multiples of 3 have some overlap. Count the multiples of 6 between 1 and 50:

⌊50/6⌋ ≈ ⌊8.333⌋ = 8

Then by the inclusion/exclusion principle, we remove from S

25 + 16 - 8 = 33

elements, so that the new set S contains 50 - 33 = 17 elements.

Answer:

graph is in linked files

Step-by-step explanation:

Answer:

See images.

Step-by-step explanation:

For these kinds of problems, get a common denominator. Put everything over that common denominator and add or subtract the terms in the numerator. Combine like terms. See images.

Answer:

Here are the answers.

Step-by-step explanation:

Answer:

An independent system of equations

Answer:

Yes, it is c

Step-by-step explanation:

Because there are 5 seashells in p packages, you can do 5p to represent the total. There are 6 fewer sea shells, so it would be 5p-6 to represent the new situation.

Based on the information given, the equation to represent the situation is 5p - 6.

The information given is that there are six fewer seashells than the total number of seashells in p packages, each of which has five seashells.

Therefore, the equation will be:

= (5 × p) - 6

= 5p - 6.

Learn more about equations on:

https://brainly.com/question/2972832

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let a represent the speed of the motor boat in still water and t represent the time. Hence for downstream:

a + 5 = 80/t

t = 80/(a + 5)

For upstream:

a - 5 = 60/t

a - 5 = 60 / (80/(a + 5))

a - 5 = 0.75a + 3.75

0.25a = 8.75

a = 35 miles per hour

The speed of the motor-boat in still water is 35 miles per hour.

Find out more on speed at: https://brainly.com/question/751218

The first one & the second one

Answer:

Both first and second one are not true.

Step-by-step explanation:

The first one translates to "101 is less than 100". This statement is false.

Second one translates to " 101 is equal to 0". Obviously, this isn't true.

Hope this helps! Brainliest would be appreciated!!

Step-by-step explanation:

sorry I don't now but when I now I will tell you ok but mybe it 12×12×12

1. The quotient is 0.5.

2. She will use 0.7m long for each frame.

3. Each child received 0.71 Php.

4. Each son will receive 0.85 hectares.

5. Each bag contains 0,93 kilos.

Learn more about maths in https://brainly.com/question/25927059

Answer:

Step-by-step explanation:

Answer: If the dress orginially priced at 8080 dollars and put for 25 percent, that means that you have to move the decimal point to the left twice which will result as 0.25 and 10 percent tax ends up as 0.10. Multiply the two and the product, you have to add to the 8080!

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

Answer:

B. x^2 - 10x + 25

Step-by-step explanation:

(x - 5)^2

(x - 5)(x - 5)

x^2 - 5x - 5x + 25

x^2 - 10x + 25

[tex]\text{Given that,}\\\\y^2 +9y +3 \\\\\text{when}~ y = -2,\\\\(-2)^2 +9(-2) +3 = 4-18+3 = 7 -18 = -11,[/tex]

Answer:

y = 15d + 25 or y = 15x + 25

X/12 = -8

Solve for x by multiplying both sides by 12

X = -96

Answer:

X=12*-8-----> X= -96. multiply 12 by -8

Answer:

Step-by-step explanation:

5

+

1

=

3

+

7

5x+1=3x+7

Solve

1

Subtract  

1

1

from both sides of the equation

5

+

1

=

3

+

7

5x+1=3x+7

5

+

1

−

1

=

3

+

7

−

1

5x+1{\color{#c92786}{-1}}=3x+7{\color{#c92786}{-1}}

2

Simplify

Subtract the numbers

Subtract the numbers

5

=

3

+

6

5x=3x+6

3

Subtract  

3

3x

from both sides of the equation

5

=

3

+

6

5x=3x+6

5

−

3

=

3

+

6

−

3

5x{\color{#c92786}{-3x}}=3x+6{\color{#c92786}{-3x}}

4

Simplify

Combine like terms

Combine like terms

2

=

6

2x=6

5

Divide both sides of the equation by the same term

2

=

6

2x=6

2

2

=

6

2

\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}

6

Simplify

Cancel terms that are in both the numerator and denominator

Solution

=

3

Answer:5/5 then 10-7 then 6/2

Step-by-sanation:

The sub duplicate ratio of 16:9 is

4: 3

The sub-duplicate ratio is found by finding the square root of both the numerator and denominator

The given ratio is 16:9

Find the square root of 16

[tex] \sqrt{16} = 4[/tex]

Find the square root of 9

[tex] \sqrt{9} = 3[/tex]

Combining the two square roots that were found, the sub duplicate is:

[tex] \frac{4}{3} [/tex]

Therefore, the sub duplicate ratio of 16:9 is

4: 3

Learn more on sub duplicate of ratios here: https://brainly.com/question/25881746

Answer:

[tex]1/32[/tex]

Step-by-step explanation:

To understand this question you would first of all need to know about negative exponents and multiply fraction by integers.

Example I would like to find out [tex]2^{-2}[/tex],

You would first normally solve this question by squaring, which would result in 4 then divide it by 1. Like this: [tex]1/2^{2}[/tex]

Which would be 0.25 or 1/4

Lets apply this knowledge to the following question:

1. [tex]2^{-3} / 2^{2}[/tex]

2. [tex]\frac{1}{8} / 4[/tex]

3. [tex]1/32[/tex]

Answer:

Solution Given;

0.6%=0.6/100=0.006

So

0.006 is the percentage multipier for 0.6%.

Let's check

We need to convert it into decimals

0.006 is the answer

Answer:

7%

Step-by-step explanation:

The additional tax is $0.42, we just have to find how much percent the tax ($0.42) is of the original cost ($6.00).

To do this, we can use the following formula:

[tex]\frac{x}{y} = \frac{p}{100}[/tex]

Where x is the part (in this case, the tax ($0.42)), y is the whole (in this case, the original cost ($6.00)), and p being the percent (the tax rate in this case). We can replace the values in:

[tex]\frac{0.42}{6} = \frac{p}{y}[/tex]

We can cross multiply and simplify to find the tax rate:

[tex]0.42y=600\\ y=\frac{600}{0.42} \\ y=0.07[/tex]

We're not done yet! We still need to turn it to percent. But we can do this by just multiplying our result by 100:

[tex]0.07 * 100=7[/tex]

Place the percent sign and we are done.

Hope this helps.