What is the distance between 2 and 3 on the number line? Write the integer only. *

Answers

Answer 1

Answer:

  1

Step-by-step explanation:

The distance between any two numbers on the number line is their difference:

  3 - 2 = 1

_____

Any two consecutive integers have a distance between them of 1 on the number line.


Related Questions

Find the equation of the line perpendicular to y=-2x+1 that also intersects the points (8,2)

Answers

Answer:

y=2x+1

Step-by-step explanation:

change -2x to 2x

Tom invests $10,000 in a savings account that offers 3.5 percent interest, compounded continuously.
In 10 years Tom will have earned

Answers

In 10 years Tom will have earned $3,500 in interest because $10,000 multiplied by 3.5% is $350 then multiply that by the 10 years to get the interest.

What is the value of x?

Answers

Answer: c

Step-by-step explanation:

Answer:

C. 75°

Step-by-step explanation:

Step 1:

70° + 35° + x = 180°    Sum of a Δ

Step 2:

105° + x = 180°       Combine Like Terms

Step 3:

x = 180° - 105°    Subtract

Answer:

x = 75°

Hope This Helps :)

A dance studio has fixed monthly costs of $1500 that include rent, utilities, insurance, and advertising. The studio charges $60 for each private lesson but has a variable cost for each lesson of $35 to pay the instructor.

Answers

Answer:

a)C(x)=1500+35x

b)R(x)=60 x

c)P(x)=25x-1500

d)The number of lessons that must be held for the studio to break even ia 60

e)The studio will make 550 if 82 lessons are held

Step-by-step explanation:

Monthly cost that include rent, utilities, insurance, and advertising = $1500

The studio charges $60 for each private lesson but has a variable cost for each lesson of $35 to pay the instructor.

a)Write a linear cost function representing the cost to the studio C(x) to hold x private lessons  for a given month

Fixed monthly cost = $1500

Variable cost of trainer for each lesson = $35

Variable cost of trainer for x lessons = 35x

So, C(x)=1500+35x

b)Write a linear revenue function representing the cost to the revenue R(x) to hold x private lessons  for a given month

Charge for 1 lesson = 60

Charge for x lessons = 60 x

So, R(x)=60 x

c)Write a linear profit function representing the cost to the profit P(x) to hold x private lessons  for a given month

Profit = Revenue - Cost

P(x)=R(x)-C(x)

P(x)=60x-1500-35x

P(x)=25x-1500

d)Determine the number of lessons that must be held for the studio to break even

R(x)=C(x)

60x=1500+35x

25x=1500

x=60

So, the number of lessons that must be held for the studio to break even ia 60

e) If 82 lessons are held during a month how much money will the studio make or lose

P(x)=25x-1500

P(82)=25(82)-1500

P(82)=550

So, The studio will make 550 if 82 lessons are held

1)Profit function P(p)=25p-1500

2) For the break-even number of lessons to be held is 60 lessons.

3)Profit, when 82 sessions are held is $550.

The fixed monthly cost of the dance studio= $1500

The variable cost of the trainer for each lesson = $35

So, Variable cost of trainer for 'p' lessons = 35a

So, Total cost =1500+35p

Charge for 1 private lesson = 60

Charge for 'p' lessons = 60p

So, Revenue =60p

We know that, Profit = Revenue - Cost

So, Profit =60p-(1500+35p)

Profit=25p-1500

What is the break-even point?

The break-even point is the point at which total cost and total revenue are equal.

For break-even

Cost = Revenue

1500+35p = 60p

p =60

So, for the break-even number of lessons to be held = 60 lessons

Profit when 82 sessions are held

Profit = 25p-1500

Profit = 25*82-1500

Profit = $550

Therefore, 1)Profit function P(p)=25p-1500

2) For the break-even number of lessons to be held is 60 lessons.

3)Profit, when 82 sessions are held is $550.

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There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 233.5 grams of this cereal,
There are calories in 233.5 grams of this cereal.
(Round to the nearest whole number as needed.)

Answers

Answer:

145

Step-by-step explanation:

110÷177.4=.62 cal per gram

.62×233.5=145 rounded

You start at (1, -4). You move left 4 units and down 1 unit. Where do you end

Answers

(-1,-8) it has to be it

The translation of the point (1, -4) when you move left 4 units and down 1 unit will be (0,-8).

What is translation?

Translation in mathematics is the movement of a shape in any direction—left, right, up, or down—without turning. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.

Given that you start at (1, -4). You move left 4 units and down 1 unit. The translated point will be calculated as,

(1, -4)  ⇒ ( 1 - 1 , -4 - 4)

( 1 , 4 ) ⇒ ( 0 , -8)

Therefore, the translation of the point (1, -4) when you move left 4 units and down 1 unit will be (0,-8).

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If you deposit $850 into an account which earns 6% yearly interest compounded monthly, how much will be in the account after 4 years, assuming you never withdraw money from the account? Round your answer to the nearest cent if necessary and do not include the dollar sign.

Answers

Answer:

1079.9

Step-by-step explanation:

A = P(1 + [tex]\frac{r}{n}[/tex])^nt

A: ending amount

P: principal (850)

r: interest rate in decimal form (.06)

n: compounding periods, 12 months in a year.

t: time in years (4)

   = 850(1 + .06/12)^12(4)

    = 850(1.005)⁴⁸

    = 850(1.2704891)

    = 1079.9157

Answer:

1079.92

Step-by-step explanation:

What equation do you get when you solve p = 2l + 2w for w

Answers

Answer:  When you solve for w the equation is [tex]w= \frac{p-2l}{2}[/tex]

Step-by-step explanation:

p = 2L + 2w  subtract 2L from both sides

p -2L = 2L -2L + 2w     2L-2L = 0 om the right; they cancel

p - 2L = 2w     now get w alone

(p - 2L)/2  = 2w/2   divide both sides by 2  2w/2 = w  2/2=1  it "cancels"

[tex]\frac{p +2L}{2} = w[/tex]  rewrite Reverse sides to put w alone on the left side

[tex]w= \frac{p-2l}{2}[/tex]

What is the standard form of the equation of a line that passes through
(2,0) and (0,-5)?

Answers

(5,1) I think that’s it

what is 4/3 divided by 5/3

Answers

Answer:

4/5

Step-by-step explanation:

4/3 ÷ 5/3

Copy dot flip

4/3 * 3/5

Rewriting

4/5 * 3/3

4/5

Answer:

Step-by-step explanation:

The answer is 0.8

7.18 x 10^3 is more than, the same as, less than 3610

Answers

Answer:

Greater than because the answer would be 7,180

Step-by-step explanation:

The answer is “more than” if you solve this problem it is 7180!

Anthony has saved $15 of the $140 he needs to purchase a new bicycle. He plans to save $15 each week w, until he has enough money to buy the bicycle. Write an equation to find the number of weeks it will take Anthony to save enough money to buy the bicycle.

Answers

Answer:

(140-15)÷15=W

Step-by-step explanation:

140-15=125

125 still needed.  divide that by the amount that will be saved each week which is 15 a week and you get 8.3.  If they want an actual answer you would say 9 weeks because if you only did 8 Anthony would be short $5 so hed have to wait an additional week to have enough to cover the purchase.  So thats why the answer would be 9

Brainliest please!!!

An online music store is offering a promotion. When you spend $30 or more, you receive 3 songs for free. You buy an album for $10. Identify an inequality that represents how much more money $m$ you must spend to receive the three free songs.

Answers

Answer:

10 + m  ≥ 30

You must spend AT MOST $20 or more

Step-by-step explanation:

Basically you have already spent 10 dollars and you have to pay MORE than or equal to 30. You cannot pay less than because you want the free songs. So the sign has to be  ≥ or the inequality will not be true.

10 + m  ≥ 30

10 - 10 + m  ≥ 30 - 10     ( subtract 10 from each side to isolate m)

m  ≥ 20     ( we are left with this )

The answer is :

m  ≥ 20

You must spend at most 20 dollars more to get the 3 free cd's. Your welcome :D

What is 1/4g(5+3)−4g+13

Answers

Answer:

simplify to -2g+13

Step-by-step explanation:

Which equation is equivalent to the equation 7y + 6 = 34?

Answers

Answer:

y = 4

Step-by-step explanation:

You are solving for the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

Isolate the variable, y. First, subtract 6 from both sides of the equation:

7y + 6 (-6) = 34 (-6)

7y = 34 - 6

7y = 28

Next, divide 7 from both sides:

(7y)/7 = (28)/7

y = 28/7 = 4

y= 4 is one of the equivalent equations that can answer this question.

~

What is the midpoint of 50 and 49

Answers

50+49=99
99/2=50.5

So the midpoint is 50.5

You could also just figure out which number is in the middle of those two which is also 50.5

The Midpoint between 50 and 49 is 49.5

What is Midpoint?

The exact middle point between two numbers is referred to as the midpoint. By adding the two numbers together and then dividing the result by two, we can determine the midway of the two supplied values. It is the two numbers' average.

Given:

First number= 50

and second number= 49

So, the Midpoint between 50 and 49

= First number + second number/2

= 50+ 49 / 2

= 49.5

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The coefficients in the expansion of (x + y)4
are
O A. 1, 4, 6, 4, 1
OB. 0, 1, 4, 6, 4, 1, 0
C. 0, 4, 6, 4,0
D. 1, 4, 6, 6, 4, 1

Answers

Answer:

A

Step-by-step explanation:

Notice:  The literal factors are all the combinations of a and b where the sum of the exponents is 4:  a4,  a3b,  a2b2,  ab3,  b4.

The degree of each term is 4.

The first term is actually a4b0, which is a4 · 1.

Thus to "expand" (a + b)5, we would anticipate the following terms, in which the sum of all the exponents is 5:

(a + b)5 =  ? a5 +  ? a4b +  ? a3b2 +  ? a2b3 +  ? ab4 +  ? b5

The question is, What are the coefficients?

They are called the binomial coefficients.  In the expansion of

(a + b)4, the binomial coefficients are

1  4  6  4  1

The coefficients in the expansion are 1, 4, 6, 4, 1.

What is Binomial Expansion?

The sum of exponents of x and y is always n. The binomial coefficients which are equidistant from the beginning and from the ending are equal i.e. [tex]^nC_0[/tex]= [tex]^nC_n[/tex], [tex]^nC_1[/tex]= [tex]^nC_{n-1}[/tex], [tex]^nC_2[/tex]= [tex]^nC_{n-2}[/tex] ,….. etc.

The expansion of [tex](x+ y)^4[/tex]

= [tex]x^4[/tex] + 4x³y + 6x²y² + 4xy³ + [tex]y^4[/tex]

So, the highest degree is 4.

and, The literal factors are all the combinations are  [tex]x^4[/tex], 4x³y, 6x²y², 4xy³,[tex]y^4[/tex]

Hence, the coefficients in the expansion are 1, 4, 6, 4, 1.

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is -z+10.54 a linear expression???

Answers

yes it is a linear expression

These shapes below are mathematically

Answers

Answer:

x=30

Step-by-step explanation:

they are conqruent,

the proportion is 2.5 as we can find that by 20/8

2.5 times 12 is 30

here is the question.​

Answers

Answer:

the answer of the question is 7

Give the Quadratic function x^2+4x-2 if x is -3

Answers

Answer:

-23

Step-by-step explanation:

You're welcome :)

-3^2 + 4(-3) - 2
9 + (-12) - 2
9 - 12 - 2
-5

Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies. Which proportion could be solved to find X, the number of teaspoons of baking soda needed for 9 cups of sugar?

Answers

Answer:

Heres how to solve.

Step-by-step explanation:

3 cups of sugar for every 2 teaspoons of baking soda.

So 6 cups of sugar for 4 teaspoons of baking soda.

And 9 cups of sugar for 6 teaspoons of baking soda.

Basically you just multiply by 3, 3×3=9 and 2*3=6

The number of teaspoons of baking soda Trisha needed will be 6.

It is given that Trisha uses 3 cups of sugar for every 2 teaspoon of baking soda.

We have to find out that what will be the number of teaspoons of baking soda needed for 9 cups of sugar.

If a car goes 10 km in two hours , how far will it go in one hour ?

The car will go, 10 ÷ 2 = 5 km in an hour.

As Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda.

For 1 cup of sugar Trisha will have to use 2/3 teaspoons of baking soda .

For 9 cup of sugar Trisha will use ;

= (2/3) × 9 = 18 ÷ 3

= 6

So, Trisha will have to use 6 teaspoons of baking soda for 9 cups of sugar.  

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ILL LITERALLY GIVE U 100 POINTS

I NEED THIS TURNED IN BY 3 EST.

Salim added 1 g of salt to each of four
beakers filled with water. He stirred the
water at different speeds and recorded how
long it took for the salt to dissolve.
Time (sec)
25
Stirring
No stirring
Slow stirring
Medium stirring
18
10
Fast stirring
6
Based on evidence in the table, what claim
should Salim make?
(F
G
Salt will not dissolve in water unless
the water is stirred.
Stirring water increases the rate at
which a salt dissolves.
Stirring water decreases the rate at
which a salt dissolves.
Stirring has no effect on the rate at
which a salt dissolves.
H Н

Answers

Answer:

Stirring water increases the rate at

which a salt dissolves.

Step-by-step explanation:

The stirring allows fresh solvent molecules to continually be in contact with the solute.

19. Estimate a 20% tip on a meal that cost $118.75.

Answers

Answer:

$23

Step-by-step explanation:

move the decimal over left 1 time and double the amount

Answer:

$23.75

Step-by-step explanation:

As 20% equals to [tex]\frac{20}{100}[/tex], which is the same as 0.20, then all you have to do to get to the answer is to calculate:

0.2 * 118.75 = $23.75

Rebecca’s boss pays her time and a half for overtime work. If her regular wage is $13.50 per hour, what is her overtime rate?

Answers

Answer: 20.25

Step-by-step explanation: Rebecca can expect to be making her regular 13.50 an hour, however once time and a half hits she’s looking at taking her 13.50 and dividing it by 2. So 13.50 divided by two is 6.75. You then take that 6.75 and add it on top of her regular 13.50 hourly. Putting you at 20.25 for time and a half.

Which rule was used to translate the image?
nd
e
O (x, y) = (x + 6, y-5)
O (x, y) = (x - 6, y + 5)
O (x, y) = (x + 8, y - 11)
O(x, y) - (x -8, y + 11)

Answers

Answer:

The answer is C

Step-by-step explanation:

(x, y) → (x + 8, y – 11)

Answer: The Answer is C (x, y) → (x + 8, y – 11)

Step-by-step explanation:

Right triangle LMN has vertices L(7, –3), M(7, –8), and

N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).

Hope this helps

Stay Safe

Enjoy your day!!!

Question 3 (5 points)
Which radical expression is an irrational number?
O A) 36
B) 65
O C) 121
OD) 64
inte

Answers

Answer:

121

we can factor it

121 = 11×11

121=(11)2

121=11

so options c is correct

Please Help thank you very much!!​

Answers

Answer: A

Step-by-step explanation:

Sams is greater than Wendy’s

Answer:

A

Step-by-step explanation:

Sam's balance: $161

Wendy's balance: $152

Of these two numbers, which is the greater one? 161. So, option A would be correct.

A chemical company makes two brands of antifreeze. The first brand is 70% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 150 gallons of a mixture that contains 75% pure antifreeze, how many gallons of each brand of antifreeze must be used?

Answers

Answer:

a una vez a respuesta

Step-by-step explanation:

cuando decimal a compra el gallos para cual es suma cuanto vez =150.49875

Use the rules of significant figures to simplify the following expression:
25.5 x 10.09
Answer here

Answers

25.5 × 10.09 = 257

Sig Figs
3

Decimals
0

Scientific Notation
2.57 × 102
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