Drag equations to each row to show why the equation of a straight line is y = 3x, where 3 is the slope. Math item stem image

Answer:

-5f + 6

Step-by-step explanation:

combining like terms

-4f - f = -5f

-9 + 15 = 6

Answer:

47%

Step-by-step explanation:

Total number of males=14

Total number of females =16

Total number of students =16+14

=30

Probability of a selecting a male student

[tex] = \frac{number \: of \: male \: students}{total \: number \: of \: students} \\ = \frac{14}{30} \\ \frac{7}{15} \\ to \: the \: nearest \: whole \: percent \\ = \frac{7}{15} \times 100 \\ = 46.66 [/tex]

=47%

Answer:

B. 7b3 + 4ab + 4a2

Step-by-step explanation:

35b5/5b2 + 20ab3/5b2 + 20a2b2/5b2  

7b3 + 4ab + 4a2

Answer:

B = 7b³ + 4ab + 4a²

Step-by-step explanation:

35b^5 + 20ab³ + 20a²b² by 5b² ÷ 5b²

= 35b^5 + 20ab³ + 20a²b² by 5b²

_________________________

5b²

= 7b³ + 4ab + 4a²

Absolute value means the distance the number zero.

(3x+2) is (3x+2) from 0.

So right now, 3x+2>9, you have to get rid of the 2 on the left side (because you don't want the variable and the constant on the same side) .

Subtract 2 from the left side and 2 from the right.

Now it is 3x > 9-2

9-2=7

3x > 7

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer: I'm pretty sure I can help, just give me like 3 minutes..

-Angie

Answer:

Her password is 1048222131.

Like Angie said, 1048 * 2* 2 * 2 * 131.

But before that you need to decompose 1048  into its prime factors.

The Prime Factorization is:

2 x 2 x 2 x 131

In Exponential Form:

23 x 1311

CSV Format:

2, 2, 2, 131

All Factors of 1048:

1, 2, 4, 8, 131, 262, 524, 1048

Prime Factors Tree

 1048      

 /  \      

2   524    

   /  \    

 2   262  

     /  \  

   2   131

There you go!  If you need more help just reach out to me!

Answer:

  5.  Triangle UVT ~ ∆RSQ by SSS

Step-by-step explanation:

The ratios of side lengths, shortest to longest are ...

  VT : TU : UV = 42 : 70 : 84 = 3 : 5 : 6

  SQ : QR : RS = 15 : 25 : 30 = 3 : 5 : 6

Side lengths are proportional, so ∆UVT ~ ∆RSQ.

__

The triangle names need to be chosen so the sides are in the same order. Here UV and RS correspond, as do VT and SQ. That eliminates all but one answer choice.

Answer:

A = –3

B = 7

Step-by-step explanation:

Please see attached photo for explanation.

Answer:

The answer is 12.75 gallons.

Step-by-step explanation:

What I did to figure this out is I multiplied 200 x 1.5 to figure how many cups there is total. Then I converted the cups to gallons and subtracted 6. I got 12.75 gallons of tomato sauce.

Answer:

It would be the second question,

Step-by-step explanation:

y 7/8 x + 3/2

Answer:

3x+3

Step-by-step explanation:

Add -4x + 7x.

Answer: The price increase = $2,860.

The price of the next model will be $57,860.

Step-by-step explanation:

Given: The next model sports car will cost 5.2% more than the current model.

Current model costs $55,000.

Price increase = 5.2%  of (Cost of current model)

= (0.052) x ($55000)

= $ 2860

So, the price increase = $2860.

Price of the next model = Cost of current model +  price increase

= $(55000+2860)

= $ 57,860

Hence, the price of the next model will be $57,860.

Answer:

D) 13

Step-by-step explanation:

The lower temperatures have a negative correlation so the lower the temperature the higher the damage index. Therefore a temperature of 10° Celsius should have a damage index higher than that of 12° Celsius so the only option is 13.

Answer:

A. The equation of the line parallel to line L is y = – x

B. The equation of the line perpendicular to line L is y = x

Step-by-step explanation:

We'll begin by calculating the slope of line L.

This can be obtained as follow:

y = –x + 2

Comparing the above equation with:

y = mx + c

We can see that the slope (m) = –1.

Therefore, the slope of line L is –1

A. Determination of the equation of the line parallel to line L. This is illustrated below:

When two lines are parallel, their slope (m) is equal i.e

m1 = m2

m1 = – 1

– 1 = m2

This means that the slope of the line parallel to line L is –1

Now we shall determine the equation of the line parallel to line L as follow:

Coordinate = (0, 0)

x1 coordinate = 0

y1 coordinate = 0

Slope (m) = –1

y – y1 = m(x – x1)

y – 0 = –1 (x – 0)

y = – x

Therefore, the equation of the line parallel to line L is y = – x

B. Determination of the equation of the line perpendicular to line L. This is illustrated below:

When two lines are perpendicular, the product of their slope (m) is –1 i.e

m1 • m2 = – 1

but m1 = –1

–1 x m2 = – 1

Divide both side by – 1

m2 = –1/–1

m2 = 1

Now, we shall determine the equation of the line perpendicular to line L as follow:

Coordinate = (0, 0)

x1 coordinate = 0

y1 coordinate = 0

Slope (m) = 1

y – y1 = m(x – x1)

y – 0 = 1 (x – 0)

y = x

Therefore, the equation of the line perpendicular to line L is y = x

Answer: total sales $1260

Step-by-step explanation:

GIVEN

Base salary: $360

Additional salary: 1/6 of total sale

Total salary: $570

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

Let x= the total sales

360+(1/6)x=570

Subtract 360 on both sides

(1/6)x=210

Divide 1/6 on both sides

x=210 ÷ (1/6)

Turn division of fraction into multiplying its reciprocal

x=210 × 6

Simplify

x=1260

Hope this helps!! :)

Please let me know if you have any question

Answer:  C  circle

Step-by-step explanation:

After the cross section effect, a circle was formed and you can see that by looking at the red circle.

Answer:

elipse

Step-by-step explanation:

Answer:

to the tenth place =1.732

Answer: Hi!

So, to find the answer to this question, we would substitute the variables in the equation with the x, y coordinated of the solution.

x = 2 and 4 = y

Our equation now looks like this:

4 = 17(2) - 12

4 = 34 - 12

4 = 22

This is not a true statement! Therefore, the point (2,4) cannot be a solution for this equation.

Hope this helps!

Answer:

-15 ft or 15 ft below sea level

Step-by-step explanation:

He started at +8 ft.

Then he went 23 ft down, that is -23 ft.

8 ft + (-23 ft) = 8 ft - 23 ft = -15 ft

Answer: -15 ft

Answer:

7,380 m.

Step-by-step explanation:

100 cm = 1 m

738,000 cm = ?

738,000 ÷ 100

= 7,380 m

7,380 m is the answer.

Answer:

y=-1.25x-4.25

Step-by-step explanation:

I had the same assignment.

The equation of the line that passes through (0,-b) and (c,0) is

7y - 8x = 28

The formula for calculating the equation of a line in point-slope form is expressed as:

[tex]y-y_0=m(x-x_0)[/tex]

m is the slope of the line

(x0, y0) is any point on the line

Given the coordinate points (0, -b) and (c, 0)

Since b  = -4 and c = -3.5

The required coordinate  points will be (0, 4) and (-3.5, 0)

Substitute the given parameters into the given formula for calculating the slope:

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

[tex]m=\frac{0-4}{-3.5-0} \\m = \frac{4}{3.5}\\m = 8/7[/tex]

Substitute m = 8/7 and the point (0, 4) into the expression [tex]y-y_0=m(x-x_0)[/tex]

[tex]y-4=\frac{8}{7} (x-0)\\7(y-4)=8x\\7y-28=8x\\7y-8x=28[/tex]

Hence the equation of the line that passes through (0,-b) and (c,0) is

7y - 8x = 28

Learn more here: https://brainly.com/question/17003809

Answer:

324 minutes or 5.4 hours

Step-by-step explanation:

400/3 = 133.333

133.333/60 = 2.2222

It took him one minute to paint 2.2222 square feet

720/2.2222 = 324 minutes

324/60 = 5.4 hours

Answer:

It will take Andy 5 hours and 24 minutes to paint 720 sq. ft.

Step-by-step explanation:

Since he painted 400 sq. ft. in 3 hours, then do 400/3 to get 133.33... sq. ft per hour. Then, do 720 / 133.33... to get 5.40000000001 hours taken. The 5 represents 5 hours, and the .4 represents 24 minutes (because 60 x .4 = 24).

Overall, you get 5 hours and 24 minutes of time to pain 720 sq. ft.

Answer: [tex]7\dfrac{7}{24}\text{ pounds}[/tex]

Step-by-step explanation:

Given, Monica gained weight in first week = [tex]\dfrac{5}{6}[/tex] pounds

She gained weight in second week = [tex]\dfrac34[/tex] pounds

She gained weight in third week = [tex]\dfrac34[/tex] pounds

She gained weight in fourth week = [tex]\dfrac34[/tex] pounds

She lost weight in fifth week = [tex]\dfrac38[/tex] pounds

Now, net weight she gained= [tex]\dfrac{5}{6}+\dfrac34+\dfrac34+\dfrac34-\dfrac{3}{8}[/tex]

[tex]=\dfrac{20+18+18+18-9}{24}\\\\=\dfrac{65}{24}\\\\=2\dfrac{17}{65}\text{ pounds}[/tex]

She need to gain [tex]10-\dfrac{65}{24}=\dfrac{240-65}{24}=7\dfrac{7}{24}\text{ pounds}[/tex]

Hence, she still have to gain [tex]7\dfrac{7}{24}\text{ pounds}[/tex]more.

Answer:

The answer is 11n.

Step-by-step explanation:

This is because 6n and 5n have the common term of n and you can add them up as if it were just 6 + 5.

6n + 5n = 11n

Answer:

11n

Step-by-step explanation:

We are given the expression:

6n+5n

and asked to simplify.

To simplify, we must combine like terms. Let's analyze the terms.

6n ⇒ has a variable "n"

5n ⇒ also has a variable "n"

The like terms in this expression are the terms with a variable, n.

To combine like terms, add the coefficients and leave an n on the end.

(6+5)n

11n

The expression 6n+5n simplified is 11n.

This is the square root of 6 over 3. The 3 is not inside the square root.

========================================================

Explanation:

sqrt = square root

We have sqrt(6) in the denominator. Your teacher wants you to rationalize the denominator, which means to take out the square root and instead have an integer here.

To achieve this, we multiply top and bottom of the fraction by sqrt(6) like so

[tex]\frac{2}{\sqrt{6}}\\\\\frac{2*\sqrt{6}}{\sqrt{6}*\sqrt{6}}\\\\\frac{2\sqrt{6}}{\sqrt{6*6}}\\\\\frac{2\sqrt{6}}{\sqrt{36}}\\\\\frac{2\sqrt{6}}{6}\\\\\frac{2\sqrt{6}}{2*3}\\\\\frac{\sqrt{6}}{3}\\\\[/tex]

Therefore,

[tex]\frac{2}{\sqrt{6}}=\frac{\sqrt{6}}{3}\\\\[/tex]

Answer:

a. 800 grams = 1.76 pounds

b. 700 grams = 1.54 pounds

Step-by-step explanation:

Here is a weight conversion problem.

In this question, we shall be making conversions from grams to pounds.

Kindly note that 453.592 grams = 1 pound as stated in the question

a. 800 grams

Kindly recall;

453.592 grams = 1 pound

800 grams = x pound

Thus;

453.592 * x = 800 * 1

x = 800/453.592

x = 1.764 pounds which is 1.76 pounds to 2 decimal places

b. 700 grams

1 pound = 453.592 grams

y pound = 700 grams

y * 453.592 = 700 * 1

y = 700/453.592

y = 1.543 pounds which is 1.54 to 2 decimal places

Answer:

1.76

1.54

Step-by-step explanation:

Answer:

A. 12

Step-by-step explanation:

TU and CV are two chords of the circle that intersects at point w.

Thus,

[tex] x*3 = 9*4 [/tex] (two intersecting chords theorem)

Solve for x

[tex] 3x = 36 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{36}{3} [/tex]

[tex] x = 12 [/tex]