Y-4=-1/2(x+7)
Graph the line

Answer:

[tex] - 40 \sqrt{x} [/tex]

Step-by-step explanation:

We want to simplify:

[tex] \sqrt{5} \times - 4 \sqrt{20x} [/tex]

We rewrite the radicand using prime factorization:

[tex] \sqrt{5} \times - 4 \sqrt{4 \times 5x} [/tex]

This gives us

[tex]\sqrt{5} \times - 4 \sqrt{4} \times \sqrt{5} \times \sqrt{x} [/tex]

Create perfect squares and simplify:

[tex](\sqrt{5} )^{2} \times - 4 \sqrt{4} \times \sqrt{x} [/tex]

[tex]5 \times - 4(2) \sqrt{x} [/tex]

[tex]5 \times - 8 \sqrt{x} = - 40 \sqrt{x} [/tex]

Yo sup??

P(A|B)=P(A∩B)/P(B)

P(A∩B)=probability of finding a girl and is sophomore

P(B)=probability of finding a sophomore

P(A|B)=9/10

Hope this helps.

Answer:

Step-by-step explanation:

Total number of persons = 37

Number of girl and sophomore= 9

Prob(girl/sophomore) = 9/37

Answer:

25500 people

Step-by-step explanation:

We are given;

Number of people is 19125

The percentage representing the number is 75%

We need to determine the total population;

The total population will be 100%

Therefore;

If 75% = 19125 people

Then, 100% will represent;

 = (19125 ÷ 75) × 100

 = 255 × 100

 = 25500 people

Therefore, the total population of the town is 25500 people

Final answer:

To find the total population of the town, divide 19,125 (75% of the population) by 0.75, resulting in a total population of 25,500.

Explanation:

To find the total population of the town when given that 19,125 people represent 75%, we need to use the concept of percentages. The number 19,125 is 75% of the total population, so if we let total population equal 'x', we can set up the equation 0.75x = 19,125. To solve for 'x', we divide both sides of the equation by 0.75.

Therefore, the equation to find the total population is:

x = 19,125 / 0.75

Calculating this gives us:

x = 25,500

So, the total population of the town is 25,500.

Answer:

105

Step-by-step explanation:

The number that is 25% more than 84 is 105.

To find 25% more than a given number, one can calculate 25% of that number and then add it to the original number. Here's the step-by-step calculation:

1. First, calculate 25% of 84:

[tex]\[ 25\% \text{ of } 84 = \frac{25}{100} \times 84 = \frac{1}{4} \times 84 = 21 \][/tex]

2. Then, add this value to the original number to find the increased amount:

[tex]\[ 84 + 21 = 105 \][/tex]

Therefore, 25% more than 84 is 105.

Answer:

1/2 and 2/4

Step-by-step explanation:

To make an equivalent fraction, you have to multiply or divide the numerator (top number) and denominator (bottom number) by the same number. For 6/12, we can divide the numerator and denominator by 6, which gives us 1/2. We can also divide the numerator and denominator by 3, and we get 2/4. 1/2 and 3/4 are 2 equivalent fractions, but there are tons more of equilalent fractions to 6/12.  

Final answer:

To find equivalent fractions for 6/12, divide both the numerator and the denominator by 2 to get 3/6, and by 3 to get 2/4. These operations demonstrate creating equivalent fractions through division.

Explanation:

The question asks us to use division to write 2 equivalent fractions to 6/12. Equivalent fractions are fractions that represent the same value. To find equivalent fractions, we can divide both the numerator and the denominator by the same number, provided that number does not equal zero.

Let's divide the numerator and denominator by 2:

Therefore, one equivalent fraction of 6/12 is 3/6.

Now, let's divide the numerator and the denominator by 3:

Thus, another equivalent fraction of 6/12 is 2/4.

Both fractions represent the same value as the original fraction 6/12, showcasing the concept of equivalent fractions through division.

Answer:

x= anything less than 5

Step-by-step explanation:

We know that 5*6 is 30, so x would have to be anything less than five.

Answer:m+6<30

Step-by-step explanation:

Answer:

median=6, range=2 mean=61 mode=7

the median is the middle which is 6

The range is the lowest-biggest number which would be 2

mean=average

mode is the one that appears most

Answer:

68 / 11 = mean

7 = mode

6 = median

2 = range

Step-by-step explanation:

Mean means the average

Mode means the most common

Median means the middle

Step 1:  Find the mean by adding all the values then dividing by the amount of values

5 + 5 + 5 + 6 + 6 + 6 + 7 + 7 + 7 + 7 + 7​ = 68

68 / 11 = mean

Step 2:  Find the mode which is the most common

5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7​

5 is repeated 3 times, 6 is repeated 3 times, 7 is repeated 5 times

7 = mode

Step 3:  Find the median which is the middle

5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7​

6 = median because it is in the middle

Step 4:  Find the range which is the difference the highest and lowest number

7 - 5 = 2

2 = Range

Answer:

k=[tex]\frac{2p-m}{3}[/tex]

Step-by-step explanation:

9k+m=6p

9k=6p-m

k= [tex]\frac{6p-m}{9}[/tex]

k= [tex]\frac{2p-m}{3}[/tex]

Answer:

80

Step-by-step explanation:

8(3+7)

8*3=24

8*7=56

24+56=80

Answer: 80

Step-by-step explanation: To solve this problem, we first substitute 7 in for x inside the parentheses and we have 8 (3 + 7).

Following your order of operations, you should simplify what's inside the parentheses first. So 3 + 7 simplifies to 10.

Bring down your 8 and you have 8 (10) which equals 80.

Step-by-step explanation:

Let one person earns $ x

Therefore other earns = $(x + 2000)

According to the given condition:

[tex]x + (x + 2000) = 28000 \\ \\ \therefore \: x + x + 2000 = 28000 \\ \\ \therefore \: 2 x = 28000 - 2000\\ \\ \therefore \: 2 x = 26000\\\therefore \: x = \frac{26000}{2} \\ \\ \therefore \: x = 13000 \\ \implies \: x + 2000 \\ \: \: \: \: \: \: \: \: \: \: = 13000 + 2000 \\ \therefore \: x + 2000= 15000 \\ [/tex]

Hence, smaller income is $13000.

[tex]\text{Hey there!}[/tex]

[tex]\mathsf{Solve: 6 -x- x=18}[/tex]

[tex]\mathsf{Combine\ your\ like\ terms}\\\mathsf{6 -\bf{x - x}\mathsf{= 18}}\\\mathsf{-x-x=-2x}\\\mathsf{Your\ new\ equation: -2x+6=18}\\\\\mathsf{Do\ the\ OPPOSITE\ symbol\ on\ both\ sides\ of\ the\ equation}\\\mathsf{Addition\ opposite\ symbol\ is\ subtraction}\\\mathsf{Subtract\ by\ 6\ on\ your\ sides}\\\mathsf{-2x+6-6=18-6}\\\mathsf{Cancel\ out{6-6\ because\ it\ gives\ us\ 0}}\\\mathsf{Keep:18-6\ because\ it\ helps\ us\solve\ for\ the\ answer}\\\\\mathsf{Next,\ divide\ both\ sides\ by\ -2}[/tex]

[tex]\mathsf{\dfrac{-2x}{-2}=\dfrac{12}{-2}}\\\\\mathsf{Cancel\ out: \dfrac{-2x}{-2}\ because\ it\ gives\ you\ the\ result\ of 1}\\\\\mathsf{Keep:\dfrac{12}{-2}\ because\ it\ gives\ the\ answer\ of\ x}\\\\\\\boxed{\bf{Answer:\mathsf{x=-6}}}}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst:)}[/tex]

Answer:

-4v + 8 > -3v - 9

-v + 8 > -9

-v > -17

v < 17

Answer:

vhgxyghfjugcfydcf

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

1/3 divided by 2 people= 1/6 each

Answer:

Step-by-step explanation:

1/3

Answer:

90 feet

Step-by-step explanation:

4.5in/0.5in=9

9 times 10 is 90 feet

Answer:

90 feet

Step-by-step explanation:

Answer:

its 6,371 in kilometers

Answer:

Step-by-step explanation:

hello :

(x + 1)2 – 9 is equivalent to (x - 2)(x + 4)

because (x + 1)2 – 9  =(x + 1)2 – 3²

                                 = (x+1-3)(x+1+3) =(x-2)(x+4)  

Answer:

(x + 1)² - 9

Step-by-step explanation:

Expand each of the factors using FOIL

(x - 2)(x + 4)

= x² + 4x - 2x - 8 ← collect like terms

= x² + 2x - 8

Now consider the expansions of

(x + 1)² - 9

= x² + 2x + 1 - 9

= x² + 2x - 8 ← equivalent to (x - 2)(x + 4)

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

(x - 1)² - 9

= x² - 2x + 1 - 9

= x² - 2x - 8 ← not equivalent to (x - 2)(x + 4)

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

(x + 1)² - 7

= x² + 2x + 1 - 7

= x² + 2x - 6 ← not equivalent to (x - 2)(x + 4)

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

(x - 1)² - 7

= x² - 2x + 1 - 7

= x² - 2x - 6 ← not equivalent to (x - 2)(x + 4)

Answer: i dont see expressions but it would be 5

Step-by-step explanation:

Answer:

|-4-1|

Step-by-step explanation:

i got it right

D

Negative times negative is positive

Answer:

Savannah is correct

Step-by-step explanation:

Answer:

i think the answer is a

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation:

You have to remember to convert the fractions into equal denominators in order to solve it. In this case, it is 12.

Answer:

Step-by-step explanation:

marcus : deposits 25 + 15 each week(w)

25 + 15w

Philip : deposits 40 + 10 each week(w)

40 + 10w

when will they be equal.....set them equal and solve for w, the number of weeks

25 + 15w = 40 + 10w

15w - 10w = 40 - 25

5w = 15

w = 15/5

w = 3 <==== they will be equal at 3 weeks

The number of weeks for both Marcus and Phillip to have the same amount of money saved is 3 weeks

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of weeks be = A

The amount Marcus deposits in the bank account = $25

The amount Marcus deposits each week = $15

So ,

After A weeks , Marcus will deposit = $ 15A

And , Total deposit in the bank for Marcus =
Amount Marcus deposits in the bank account + Amount Marcus deposits for A weeks

Total deposit in the bank for Marcus = 25 + 15A

And ,

The amount Phillip deposits in the bank account = $40

The amount Phillip deposits each week = $10

So ,

After A weeks , Phillip will deposit = $ 10A

And , Total deposit in the bank for Phillip =
Amount Phillip deposits in the bank account + Amount Phillip deposits for A weeks

Total deposit in the bank for Phillip = 40 + 10A

Now , for both Marcus and Phillip to have the same amount after A weeks ,

Total deposit in the bank for Marcus = Total deposit in the bank for Phillip

Substituting the values , we get

25 + 15A = 40 + 10A

Subtracting 10A on both sides , we get

5A + 25 = 40

Subtracting 25 on both sides , we get

5A = 15

Divide by 5 on both sides , we get

A = 3 weeks

Hence , The number of weeks for both Marcus and Phillip to have the same amount of money saved is 3 weeks

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Answer: 3.12:16

Step-by-step explanation:

Answer:

2, 3 and 4

Step-by-step explanation:

6:8

3:4

1. 36/40 = 9/10

2. 9:12 = 3:4

3. 12 to 16 = 3/4 = 3:4

4. 15/20 = 3/4 = 3:4

5. 24:36 = 2/3

6. 16 to 24 = 2/3

Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn and  each scarf uses 0.1 kilograms of yarn. Chevy wants to use 2 kilograms of yarn to make a total of 15 items.

Let h be the number of hats Chevy makes and s be the number of scarves he makes.

Which system of equations represents this situation?​

The system of equations represents this situation are:

h + s = 15

0.2h + 0.1s = 2

5 hats and 10 scarves are made

From given,

Let "h" be the number of hats Chevy made

Let "s" be the number of scarves made

They made a total of 15 items

Therefore, we get,

h + s = 15 --------- eqn 1

Also given that,

Each hat uses 0.2 kilograms of yarn

Each scarf uses 0.1 kilograms of yarn

Chevy wants to use 2 kilograms of yarn

Therefore, we frame a equation as:

[tex]0.2 \times h + 0.1 \times s = 2[/tex]

0.2h + 0.1s = 2 --------- eqn 2

Thus eqn 1 and eqn 2 represents the system of equations

Let us solve eqn 1 and eqn 2

From eqn 1,

h = 15 - s ------ eqn 3

Substitute eqn 3 in eqn 2

0.2(15 - s) + 0.1s = 2

3 - 0.2s + 0.1s = 2

0.1s = 1

s = 10

Substitute s = 10 in eqn 3

h = 15 - 10

h = 5

Thus 5 hats and 10 scarves are made

Rate of change of profit for this period is $2750 per month

Solution:

Given that,

Profit of $6500 in January and $17,500 in May

To find: Rate of change

Since,

January is the first month of the year (1) while May is the fifth month (5)

Therefore, we get two points

(1, 6500) and (5, 17500)

Using these points we can find the rate of change in profit for this time period

The rate of change using the following formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here from the points,

[tex](x_1, y_1) = (1, 6500)\\\\(x_2, y_2) = (5, 17500)[/tex]

Therefore, rate of change is given as:

[tex]m = \frac{17500-6500}{5-1}\\\\m = \frac{11000}{4}\\\\m = 2750[/tex]

Thus rate of change of profit for this period = $2750 per month

Answer:

If it is a quadratic equation then it's zeroes are alpha and beta. Sum of zeroes is -b/a. So alpha plus beta is -b divided by a.

Step-by-step explanation:

The formula used for making an equation when you know the zeroes is;

k here,is a constant; for better clarification follow this example;

Say

According to the formula the equation must be;

Now, the k can be replaced with any variable, i.e, 3,4,5/6,7 etc anything. Hope it was clear.

Answer:

ab + ac

Step-by-step explanation:

a (b+c)

a is multiplying everything in the bracket

axb + axc

ab + ac

Answer:

ab + ac

Step-by-step explanation:

a (b + c) *multiply

a x b + a x c

ab + ac

Step-by-step explanation:

The given absolute value expression is

[tex]f(x) = |x + 3| - 1[/tex]

This absolute value function is of the form

[tex]f(x) = |x + h| + k[/tex]

where (h,k)=(-3,-1) is the vertex.

This function opens upwards, hence the the minimum point is (-3,-1)

The domain is the values of x for which the function is defined.

The domain is all real numbers.

The range is the values of y for which x is defined.

The is y≥-1 because the minimum value is -1.

The graph is shown in attachment.

Answer:

x=25, y=113

Step-by-step explanation:

5x=3x+50 (alternate angles)

5x-3x=50

2x=50

Dividing both sides by 2

x=25

Now

5x=y+12 (vertical angles)

5(25)=y+12

125=y+12

y=125-12

y=113

Answer:

5km

Step-by-step explanation:

There are 5 rest ops where 2 of them are at 2 ends and the other 3 are spaced evenly between. This would create 4 equal separated spaces. If the total distance is 20km, then the length for each space would be 20 / 4 = 5 km