A teacher wants to split 9 crayons between 5 students equally. How many will each student get?

Since the line that we need to figure out is perpendicular to the one given, the slope of the line in question is going to be the opposite-reciprocal of the slope of the given line.

Slope of the given line = -12

Slope of the new line = [tex]\frac{1}{12}[/tex]

We will use the point given and the new slope to determine the y-intercept using slope-intercept form.

[tex]4 = \frac{1}{12}(0) + b\\\\4 = 0 + b\\\\4 = b[/tex]

Formula for this line

[tex]y = \frac{1}{12}x + 4[/tex]

We can graph the lines to check our work.

Both lines are perpendicular.

Answer:

8cm

Step-by-step explanation:

First you must know that the diameter of the semi-circular patio is equal to the length of one side of the square

Area of a semi circle = πr²/2

25.12  = πr²

25.12 = 3.14r²/2

r² = 25.12(2)/3.14

r² = 16

r = √16

r = 4

Get the diameter

d = 2r

d =2(4)

d = 8cm

Hence the length of the side of the square is 8cm

Answer:

1 Answer. The first quadrant, Q1

Step-by-step explanation:

Answer:Bottom right aka 4

Answer:

x = 50.8°

Step-by-step explanation:

By applying cosine ratio in the given triangle PQN,

cos(x) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

          = [tex]\frac{PN}{PQ}[/tex]

cos(x) = [tex]\frac{12}{19}[/tex]

x = [tex]\text{cos}^{-1}(\frac{12}{19})[/tex]

x = 50.83°

x ≈ 50.8°

Answer:

25.5 minutes

Step-by-step explanation:

Answer:

1 * 10^3

I did this here is what I believe you are looking for -_-

Answer:

The first one

Step-by-step explanation:

Dont have time to explain sry

Answer:

[tex]x = 1.5[/tex]

[tex]y =1[/tex]

Step-by-step explanation:

Given

[tex]4x + 2y = 8[/tex]

[tex]6x - 4y = 5[/tex]

Required

Solve for x and y

[tex]4x + 2y = 8[/tex] --- (1)

[tex]6x - 4y = 5[/tex] --- (2)

Divide equation (1) through by 2

[tex]\frac{1}{2}(4x + 2y) = 8*\frac{1}{2}[/tex]

[tex]2x + y = 4[/tex]

Make y the subject

[tex]y = 4 - 2x[/tex]

Substitute 4 - 2x for y in equation (2)

[tex]6x - 4y = 5[/tex]

[tex]6x - 4(4- 2x) = 5[/tex]

Open bracket

[tex]6x - 16+ 8x = 5[/tex]

Collect Like Terms

[tex]6x + 8x = 5+16[/tex]

[tex]14x = 21[/tex]

Solve for x

[tex]x = \frac{21}{14}[/tex]

[tex]x = 1.5[/tex]

Substitute 1.5 for x in [tex]y = 4 - 2x[/tex]

[tex]y = 4 - 2(1.5)[/tex]

[tex]y = 4 - 3[/tex]

[tex]y =1[/tex]

To check the solution:

Substitute the values of x and y i the equations

[tex]4x + 2y = 8[/tex]

[tex]4 * 1.5 + 2 * 1 = 8[/tex]

[tex]8 = 8[/tex]

[tex]6x - 4y = 5[/tex]

[tex]6 * 1.5 - 4 * 1 = 5[/tex]

[tex]5 = 5[/tex]

Hence, the solution is true

Answer:

Step-by-step explanation uuf im stuck on that one sad i can't help

Answer:

It was simply a case of bad luck.

Step-by-step explanation:

The predictable win outcome from playing a round of a certain gambling game = 25%

If one plays 100 rounds, the predictable wins should be 25 (100 * 25%)

If the actual wins = 18, which is less than the predictable wins of 25, the actual result is less than the expected value or outcome by 7.  This is simply a case of bad luck.  Bad luck is defined as an unpredictable outcome that is unfortunate.  It is when the predicted (expected) outcomes, 25 wins, are more than the unpredicted (actual observed) outcomes, 18 wins.

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Answer:

so 300000 divided by 3 is  what they are paying every ten years

Step-by-step explanation:

8th grader here, what do you need help with?

We know that ,

[tex] \sin( \alpha ) = \frac{opposite}{hypotenuse} [/tex]

and

[tex] \cos( \alpha ) = \frac{adjacent}{hypotenuse} [/tex]

where 'alpha' is an angle of triangle ; 'opposite' denotes the side opposite to alpha & 'adjacent' refers to the side next to the angle (but not hypotenuse)

Similarly ,

[tex] \sin(q) = \frac{opposite}{hypotenuse} = \frac{4}{5} [/tex]

Let the length of the opposite side be 4x and the length of hypotenuse be 5x. By using Pythagorean Theorem , we can find the length of base.

[tex] {base}^{2} + {(4x)}^{2} = {(5x)}^{2} [/tex]

[tex] = > {base}^{2} = 25 {x}^{2} - 16 {x}^{2} = 9 {x}^{2} [/tex]

[tex] = > base = \sqrt{9 {x}^{2} } = 3x[/tex]

Now , we have got the length of all the sides of the triangle. So,

[tex] \cos(q) = \frac{adjacent}{hypotenuse} = \frac{3x}{5x} = \frac{3}{5} [/tex]

and

[tex] \cos(p) = \frac{adjacent}{hypotenuse} = \frac{4x}{5x} = \frac{4}{5} [/tex]

So,

[tex] \cos(p) + \cos(q) = \frac{4}{5} + \frac{3}{5} = \frac{7}{5} [/tex]

Answer:

-16

Step-by-step explanation:

In this problem, we are adding a negative integer and a positive integer. From this, we already know that the sum will be negative. (- plus + = -)

Since 20 is positive, you can remove the plus sign so your equation looks like

20 - 36

Next, subtract to get -16

~theLocoCoco

Answer:

( -16 ) is the answer .

hope this will help you

Answer:

try 21 x 21 plus 21 divided by 21 then add 21 x 21

Step-by-step explanation:

easy math

Answer:

[tex]y=7x-33[/tex]

Step-by-step explanation:

[tex]m=\frac{9-(-5)}{6-4}\\m=\frac{14}{2}\\m=7\\y=7x+b\\b=-5-(7)(4)\\b=-33\\y=7x-33[/tex]

Answer:

4+3=7 and 2+5=7 so when you multiply you get 49

Answer:

(4+3) ×(2+5)

7×7

= 49

Step-by-step explanation:

first add the no. then multiplied it with the sum

If I translated correctly into my native language, then you need to write the equation of the straight line.

y=x this is a straight line through the first and third quarters.

1) multiply by 2: y= 2x

2) to raise the function by 3 units, you need to add 3 to it. For example: y=2x to bring it up: y=2x+3

Answer:

4(x^2-x-20)=0

4(x-5)(x+4)=0

x=5,-4

Step-by-step explanation:

Answer:

$15.12

Step-by-step explanation:

1. Find the total amount of sales tax. This can be done by multiplying the before tax price by the sales tax percentage.

14 x 8% = 1.12

2. Add the sales tax amount back to the price.

14 + 1.12 = $15.12

Answer:

P(both students passed the exam) = 0.61948

Step-by-step explanation:

From the given information:

P(both students passed the exam) = P(both are science students or both are art major students or one is from each group)

= P (both are science students) + P(both are art students) + P(one from each group)

where;

P (both are science students) = (50/100) (0.9) × (44/99) × (0.9) = 0.18

P(both students are art) = (50/100) (0.7) × (49/99) 0.7 = 0.1213

P(one of the student are from each group) = (50/100) (0.9) ×(50/99) (0.7) + (50/100) (0.7)× (50/99)(0.9) =0.3182

P(both students passed the exam) = 0.18 + 0.1213 + 0.3182

P(both students passed the exam) = 0.61948

Answer:

4. a. y = 2x

b. she will need 12 packs of cashews to 24 cans of peanuts to make the mix.

5. a. YES

b. y = 2.5x

c. $30

d. 24 pounds

e. See attachment

Step-by-step explanation:

4.a. packages of cashews = x

Cans of peanuts = y

The equation that represents the relationship between x and y can be expressed in slope-intercept form as y = mx

Slope = m,

Finding slope (m) using two pairs (1, 2) and (2, 4):

Slope = ∆y/∆x = (4 - 2)/(2 - 1) = ²/1 = 2

m = 2.

To write the equation, substitute m = 2 into y = mx

The equation would be:

y = 2x

b. The ordered pair (12, 24) in the context of the problem means she will need 12 packs of cashews to 24 cans of peanuts to make the mix.

5. a. The cost of candy is proportional to the amount of candy because: 5/2 = 7.5/3 = 12.5/5 = 2.5 = constant of proportionality/unit rate

b. An equation can be written to show the proportional relationship in the form of y = mx.

Where, m = constant of proportionality/unit rate

x = amount of candy

y = cost on dollars

Thus, substitute m = 2.5 into y = mx

The equation would be:

y = 2.5x

c. To find how much it would cost (y) for 12 pounds of candy (x), substitute x = 12 into y = 2.5x to find y.

Thus:

y = 2.5(12) = 30

It would cost $30 for 12 pounds of candy

d. To find the maximum amount of candy (x) you can buy with $60 (y), substitute y = 60 into y = 2.5x

Thus:

60 = 2.5x

Divide both sides by 2.5

60/2.5 = 2.5x/2.5

24 = x

x = 24

Maximum amount of candy you can buy with $60 is 24 pounds of candy.

e. See attachment

Answer:

12

Step-by-step explanation:

Answer:

8,000

Step-by-step explanation:

i think because 100000/12

Answer:

i think 8

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Look at the graph, its a pattern. The number of weeks is Times 2 every time, therefore 10 *2 is 20, and the number of players are getting close

The volleyball team is selling 700 snack bags to raise money.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Sales of pretzels and cheese puffs represent 30% of overall sales, which means that 210 bags were sold.

This ratio could be established,

⇒ 210/30% = x/100%

⇒ x = (210)100%/30%

⇒ x = 70×10

⇒ x = 700

Thus we could evaluate that there are 700 bags in total.

Therefore, the volleyball team is selling 700 snack bags to raise money.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ2

Answer:

SAS; side angle side

Step-by-step explanation:

The diagrams indicates that two sides are already congruent:

the sides marked with 3 dashes have the same length

the sides marked with 2 dashes have the same length

These two statements leaves only SAS or Triangles are Not Congruent as the only options.

However, the middle angles are congruent due to the opposite angle law.

The rule states that two angles that are opposite each other when two lines cross have the same degree measure.

Since the middle angle are vertically opposite angles, the only remaining answer is SAS