distance between (2,3) and (6,8)

Answer:  a

If you look at a acute angle and notice how small it is you can use a protractor and measure it and it will land on 25 and then a right triangle its the same thing as a stright line

Answer:

-81/3+32/5

-81×5+32×3/15

-243+96/15

-147/15

-49/5 Ans

To answer your question ("do you multiply the whole number too?"): Yes, you have to multiply the whole number as well. You can't just separate 1/3 from -8 and multiply it with 2/5, because the whole number is part of the mixed #. Whenever you multiply, add, divide, subtract, or do anything to two mixed numbers, you must include the whole term.

- - - - - - - - - -

Now your question is addition. Like I said, when you add them together, the whole number and the fractions count as one term.

So basically, -8 1/3 + 3 2/5...

- - - - - - - - - -

1) Find the LCM (least common multiple) of the denominators

The LCM of 3 and 5 is 15. To get from 3 to 15, you have to multiply 3 by 5. Now multiply the numbers of the fraction part only by 5.

1/3 --> 5/15 (as you can see, 1x5 = 5, 3x5 = 15)

Now for 2/5: To get from 5 to 15, multiply 5 by 3. Do the same thing to the numbers in the fraction

2/5 --> 6/15 (2x3 = 6, 5x3 = 15)

***TO CLARIFY, DO NOT MULTIPLY THE WHOLE TERM BY THE NUMBER***

Right: 2x3 = 6, 5x3 = 15, 6/15

Wrong: 2/5 x 5 = 2

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2) So now that we found a common denominator, change the two terms to -8 5/15 + 3 6/15 (because we had to find the LCM to make life a lot easier)

- - - - - - - - - -

3) We just add them together. Even though they are a term together, you can split them apart and add them together separately thanks to the commutative property of addition*.

Time to split it apart to make life a whole lot easier. -8 5/15 can be split apart into the two terms -8 and 5/15. For 3 6/15, it can be split into 3 and 5/15.

Two options from here on:

Set up a single equation: Put all the terms into one equation. -8 + 3 + 5/15 + 6/15. Solve by adding all the terms together in whichever order you prefer (again, thanks to the commutative property of addition)

It would result in the answer -4 4/15

Or...

Set up two separate equations: Set up an equation for whole numbers, and another one for fractions.

Equation 1: -8 + 3 = -5

Equation 2: 5/15 + 6/15 = 11/15

(6 + 5 = 11)

And we add the sums together. -5 + 11/15 = -4 4/15

And that's it!

- - - - - - - - - -

*Commutative Property of Addition: The sum of the numbers will NOT change even if you change the order of the addends

Was an hour late, but I hope this still helped you! If there are any questions, just comment below this

Answer:

its proportional for example u multiply 2•3 to get 6, 3•3 to get 9, 4•3 to get 12 and 5•3 to get 15

Step-by-step explanation:

Answer:

additive inverse of 7/10 is -7/10 and 0.6 is 0.6

Step-by-step explanation:

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. The properties of additive inverse are given below, based on the negation of the original number. For example, if x is the original number, then its additive inverse is -x.

Answer:

\(\frac{16}{27}\)

Step-by-step explanation:

From the table, we notice that the total number of students is:

\(3+10+8+6=27\)

Then, along the second column of the table, we notice that the number of students who do not have a brother is:

\(10+6=16\)

So, the probability that a randomly chosen student does not have a brother is:

\(\frac{\text{number of students who do not have a brother}}{\text{total number of students}}=\frac{16}{27}\)

Reason:

6 black out of 4+6+5 = 15 total

6/15 = 0.40 is the experimental probability of selecting black.

Side note: The term "empirical probability" is the same as "experimental probability".

The experimental probability of selecting a black marble will be 0.40. The correct option is C.

Probability is a number that indicates the likelihood of an event occurring. Probability is defined as the ratio of favourable outcomes to all outcomes.

Probability = Number of favourable outcomes / Number of samples

Given that Michael has a bag of marbles. The frequency of selecting each colour is recorded in the table below. Outcome Frequency Green 4 Black 6 Orange 5.

Number of favourable outcomes = 6

Number of samples = 4+6+5 = 15

Probability = Number of favourable outcomes / Number of samples

Probability = 6 / 15

Probability = 0.40

Therefore, the probability will be 0.40.

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Answer:

Answer is b i took the test

Answer:

423 cm cubed

Step-by-step explanation:

9*3*14 = 378 (cylinder volume)

5/3*9*3 = 45 (cone volume)

Answer:

A, C, D, and F are the rational numbers.

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

Explanation:

Use a graphing tool like Desmos to plot y = |x+3|

See below.

The graph is a V shaped figure. The vertex is at (-3,0). The interval x > 5 is entirely to the right of this vertex. So we only focus on the right hand side of the V shape.

The line making up this right hand side is the equation y = x+3

Therefore, if x > 5 then y = |x+3| becomes y = x+3

In short, we erase the absolute value lines.

Answer:

Step-by-step explanation:

Answer: It represents the y intercept of f(x). ... f(0) represents the ordinate of the point where the function intersects the y axis. This is the y intercept of the function.

Step-by-step explanation:

Answer: No .

Step-by-step explanation:

If we make two triangles with lengths of 4 centimeters and 2 centimeters and  an included angle of 50°, then by SAS congruence postulate both triangle will be congruent.

According to the definition of congruence , if two shapes are congruent then they have equal size and shape.

i.e. they look exactly same.

It means only one triangle is possible with the given measurement .

SAS congruence rule : It says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then  we can say that these two triangles are congruent.

Answer from JeanaShupp

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Answer:

B

Step-by-step explanation:

Answer:

its b :D

Step-by-step explanation:

Answer: y+6

Step-by-step explanation:

In order to do this, we do 6 more than y. More than is going to be addition, and we get y+6 since it is 6 more than y.

Answer:

Step-by-step explanation:

We use a for Adult and s for Student.

Assuming this, you have to start by writing two equations from the information provided:

900 total tickets were sold    

       a+s=900                             ------(i)

they made $2,820 and  adult tickets cost $4 and kids tickets cost $2.50

      2820=4a+2.5s                    ------(ii)

lets solve for a in the first equation:

a=900-s                      

we can plug this into the second equation and solve for s

2820=4(900-s)+2.5s

2820=3600-4s+2.5s

2820=3600-1.5s

-780=-1.5s

s=520

we can plug this into the first equation and solve for a:

a+520=900

a=380

Total adult ticket sold : 380

Total student ticket sold = 520

Cost of adult tickets = 380 * 4 = $1520

Cost of student tickets = 520 * 2.5 = $1300

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Answer:

the first one

Step-by-step explanation:

1. 1310 x 0.15 = 196.5

2. 1310 - 196.5 = 1113.5

3. 1113.5 - 310 = 803.5

4. 803.5 - 405 = 398.5

5. 398.5 divided by 2 = 199.25

Answer:797

Step-by-step explanation:the last one

Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth

Hope my answer helps you✌️

Answer:

Step-by-step explanation:

Answer:

After 20 minutes, the temperature would be 130.3ºF.

Step-by-step explanation:

-2.5 * 20 = -50

180.3 - 50 = 130.3

Answer:

1. 50

2. 32

Step-by-step explanation

-2.5 x20

2.5 x 32 = 80 - 180.3 = 100.3

Answer:

20=91.35*2

182$

21=17+18+15 vs 17+15+18

equal distributive property

Hope This Helps!!!

Answer: no.20= $182.70 no. 21.= 50

Step-by-step explanation:

20. 91.35 x 2= 182.70

21. 17+18+15=50 and 17+15+18= 50. They have the same value

Answer:

25%

Step-by-step explanation:

if you flip the coin once there is a 50% chance of getting heads. If you flip the coin again there is a 25% chance of getting heads again.

Answer:

3

Step-by-step explanation:  9

can be expressed in three such ways, 2+3+4

, 4+5

or simply 9

Answer:

x = 1/4 ± 1/4√233

Step-by-step explanation:

(2x + 5)(x - 3) = 14

~Use FOIL on the left side

2x² - 6x + 5x - 15 = 14

~Combine like terms

2x² - x - 15 = 14

~Subtract 14 to both sides

2x² - x - 29 = 0

~Use the quadratic formula and simplify

x = 1/4 ± 1/4√233

Best of Luck!

a) The predicted heating cost for a month with temperature of 25 ºF is given as follows: $65.70.

b) The predicted heating cost for a month with temperature of 0 ºF is given as follows: $96.20

c) For an increase of one degree Fahrenheit, the predicted decrease in the cost is of $1.22.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The slope and the intercept for the function in this problem are given as follows:

Hence, the predicted cost for a month with temperature of 25ºF is given as follows:

y = -1.22(25) + 96.20 = $65.70.

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Answer:

In this order is least to greatest:

1. 4 dishes-20% tip

2. 6 dishes -14% tip

3. 7 dishes-11% tip

4. 5 dishes-17.5% tip

Order the tip amounts from least to greatest tip will be $6.65, $6.91, $7.25, and $7.56.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Dominic is a server at a restaurant. Each dish at the restaurant costs $8. A sales tax of 8% is charged. The total bill amount includes the sales tax of the meal.

The amount of tip for all the orders, then we have

A. 5 dishes and 17.5% tip, then the tip cost is given as,

⇒ ($8 x 5) x (1.08) x (0.175)

⇒ $7.56

B. 6 dishes and 14% tip, then the tip cost is given as,

⇒ ($8 x 6) x (1.08) x (0.14)

⇒ $7.26

C. 7 dishes and 11% tip, then the tip cost is given as,

⇒ ($8 x 7) x (1.08) x (0.11)

⇒ $6.65

D. 4 dishes and 20% tip, then the tip cost is given as,

⇒ ($8 x 4) x (1.08) x (0.20)

⇒ $6.91

Order the tip amounts from least to greatest tip will be $6.65, $6.91, $7.25, and $7.56.

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