A squirrel jumps along the number line. Each of its jumps is 5 units long. The squirrel sometimes jumps to the right and sometimes to the left. It starts at point 6. Can it land at this point? (The point is 101)

Answers

Answer 1

9514 1404 393

Answer:

  yes

Step-by-step explanation:

For some integer n, the squirrel lands on numbers that are ...

  5n +6

We want to see if n is an integer when ...

  5n +6 = 101

  5n = 95

  n = 19 . . . . yes, an integral number of jumps will get the squirrel to 101


Related Questions

the sum of two numbers is 18 their difference is 4

Answers

Answer:

7 and 11

Step-by-step explanation:

Jim is baking chocolate chip muffins. He has a total of LaTeX: 7\frac{1}{3}7 1 3 cups of chocolate chips. If each batch of muffins uses LaTeX: \frac{2}{3}2 3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can bake.

Answers

Answer:

Step-by-step explanation:

Total cups of chocolate available = 7 1/3 cups

each batch uses 2/3 of a cup of chocolate

To get the number of batches of muffin Jim can bake, we will use the equality postulate.

1 batch = 2/3 cup of a chocolate

x batch = 7 1/3 cups of chocolate

Cross multiply

2/3 x = 7 1/3

2/3 x = 22/3

cross multiply

2x * 3 = 3 * 22

6x = 66

x = 66/6

x = 11

Hence Jim can bake at most 11 batches of muffins

Which of the following values are solutions to the inequality x-7< 5?x−7<5?

Answers

Answer:

x>12

Step-by-step explanation:

Answer:

These are = to........so =

Is 5/6 equal to 2/3?

Answers

Answer: They are not equal

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

Work Shown:

For now, let's assume they are equal. We'll show a contradiction happens.

5/6 = 2/3

5*3 = 6*2 ... cross multiply

15 = 12 ... here's the contradiction

If the original equation was true, then we would get the same thing on both sides in the final step shown above. However, we get a contradiction, so that means the original equation is false.

Furthermore, the left side is larger in the third step, so the left side is larger for each of the three steps. We can then say

5/6 > 2/3

5*3 > 6*2

15 > 12

Which helps show 5/6 is larger than 2/3.

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

Or you can use a calculator to see that

5/6 = 0.833 approximately

2/3 = 0.667 approximately

which shows the two fractions aren't equal and 5/6 is larger.

2x + y = -8
3x - 5y = -25

It’s substitution

Answers

Answer:

x = -5 , y = 2

Step-by-step explanation:

Solve the following system:

{y + 2 x = -8

-5 y + 3 x = -25

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{y + 2 x = -8

-5 y + 3 x = -25

Hint: | Solve for y.

Subtract 2 x from both sides:

{y = -2 x - 8

-5 y + 3 x = -25

Hint: | Perform a substitution.

Substitute y = -2 x - 8 into the second equation:

{y = -2 x - 8

3 x - 5 (-2 x - 8) = -25

Hint: | Expand the left hand side of the equation 3 x - 5 (-2 x - 8) = -25.

3 x - 5 (-2 x - 8) = (10 x + 40) + 3 x = 13 x + 40:

{y = -2 x - 8

13 x + 40 = -25

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{y = -2 x - 8

13 x + 40 = -25

Hint: | Isolate terms with x to the left hand side.

Subtract 40 from both sides:

{y = -2 x - 8

13 x = -65

Hint: | Solve for x.

Divide both sides by 13:

{y = -2 x - 8

x = -5

Hint: | Perform a back substitution.

Substitute x = -5 into the first equation:

{y = 2

x = -5

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = -5 , y = 2

What is the slope of the line through -4,3 and 5,3

Answers

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 3) and (x₂, y₂ ) = (5, 3)

m = [tex]\frac{3-3}{5+4}[/tex] = [tex]\frac{0}{9}[/tex] = 0


Solve for x and y
3x + 2y = 16
7x + y = 19

(-2,-5)
(-2,5)
(2,5)
(2,-5)

Answers

Answer:

(2,5)

Step-by-step explanation:

it's (2,5) just to let you now

Which expression is equivalent to 1/4 (4+9)? plssss help me I only have 20 minutes

Answers

Answer:

it is 3.2.5

Step-by-step explanation:

yw

I need four line that are parallel

Answers

___________________________

___________________________

___________________________

___________________________

These are parallel and equal lines.

Mark as brainliest.❤️

[tex]{\huge{\purple{\underline{\underline{\bf{\pink{\mathfrak{Thanks}}}}}}}}[/tex]

Isabelle and jamie share money in the ratio 2:3 isabelle recieve £42 how much money does jamie get​

Answers

Answer:

£63

Step-by-step explanation:

£42 is 2 parts so 1 part is half so £21

21 x 3 is 63 so jamie gets 63 pounds.

The perimeter of a rectangular playground can be no greater than 120 meters. The width of the playground cannot exceed 22 meters. What are the possible lengths of the playground?

Answers

Answer:

because The perimeter of a rectangular playground can be no greater than 120 meters, The width of the playground cannot exceed 22 meters

=> the length of the playground cannot exceed: (120/2)-22= 38(meters)

Step-by-step explanation:

A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
p=421−376376
p=421−376421
p=376421−376
p=376+421376

Answers

Answer: B

Step-by-step explanation:

Answer: see explanation

Step-by-step explanation:

percent increase = × 100%

the increase = 421 - 376 = 45, hence

percent increase = × 100% ≈ 12%

If mr gardener had 185 chocolate kisses and he wants to divide them between his 6 students how many will each student get

Answers

Each will get thirty kisses, and there'll be five left over, unless he has favorite students.

i need help if you do it you can have brainest

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Starting from the point-slope equation ...

  y -y1 = m(x -x1)

Solving for y gives ...

  y = mx +(y1 -m·x1)

So, the slope-intercept form equation is fairly easily found:

  y = mx +b . . . . where m = m, and b = y1-m·x1

This is the equation we have used for 'b' in the attached spreadsheet.

__

Of course, the formula for slope is ...

  m = (y2 -y1)/(x2 -x1)

This is the equation we have used for 'm' in the attached spreadsheet. For all problems, we have used the first point. (It doesn't matter which point you use if there are two of them.)

__

The second attachment is the Google Sheets spreadsheet saved in ODS format. Most spreadsheet programs should be able to open that so you can see the formulas, if you're interested. (The gray values of m are computed using the two points. The unshaded values of m are entered by hand.)

_____

I'll write a couple of equations in each group so you can see how the spreadsheet numbers relate:

  y = mx +b

1.  y = 2x -7

3.  y = 2/3x +4

8.  y = 1/3x -5

9.  y = -5/2x +4

Distribute: 1/2 (6k - 8)

Answers

Answer: 3k -4

Step-by-step explanation: Just multiply 1/2 by both terms in the expression.

What is rhe vertex of this parabola ?????? HELP

Answers

Answer:

The vertex is (3,1)

Step-by-step explanation:

Brainliest please

Please help me out !​

Answers

Answer:

D

Step-by-step explanation:

because 5x4= 20 and -3×2=-6 so you need it to equal -6 and C20÷C26 you subtract so it gives you -6

I think this is right but I maybe be wrong

Which situation best describes a positive correlation? Group of answer choices The height of a candle and the amount of time it stays lit. The price of a pizza and the number of toppings added. The temperature of a cup of hot chocolate and the length of time it sits. The amount of rainfall on Fridays.

Answers

Answer:

The correct option is;

The price of a pizza and the number of toppings added

Step-by-step explanation:

A positive correlation is one in which the variables being correlated, progress in the same direction, such that an increase in one variable will lead o an increase in the other variable;

The price of a pizza  depends on the size of the pizza and the price increases for each additional topping added, such that the price of the pizza will increase as the number of toppings is increased

The variable, the height of the candle and the variable, the length of time it stays on, are positively correlated because, the two variables depends on each other whereby the time it takes to completely burn a candle increases as the length of the candle increases, however, the candle can be put out depending on usage, even if it can stay lit for a longer period of time.

Roy has $100 in a savings account that earns 11% interest, compounded annually. To the nearest cent, how much will he have in 1 year?

Answers

Answer:

111

I'm pretty sure

Step-by-step explanation:

Find the slope and y-intercept of the line whose equation is given.
y= - 7x-9
Determine the slope. Select the correct choice below and fill in any answer boxe
A. m=
(Type an integer or a fraction.)
OB. The slope is undefined.

Answers

Answer:

Slope = -7

y-intercept = -9

Step-by-step explanation:

The slope formula is y = mx + b where m is the slope value and b is the y-intercept value. In this case, since both values have a negative sign in front of them, they are both negative.

y = mx + b

y = -7x - 9

m = -7 which is the slope

b = -9 which is the y -intercept

Need an answer within an hour i will give brainlist dont write just anything please. thank you

Answers

Answer:

its not a straight line so what is the question ????????  maybe f(-3) = -3f

Step-by-step explanation:

Find the measures of the missing angles

Answers

Answer:

Step-by-step explanation:

∠1 = 180° - 88° = 92°

∠5 = 81° (alternate interior angles)

∠4 = 180° - ( 81° + 64° ) = 35°

∠3 = 180° - ( 81° + 35° ) = 64°

∠2 = 88° - 64° = 24°

Answer:

1. 92°

2. 24°

3. 64°

4. 35°

5. 81°

Step-by-step explanation:

1.

180 - 88 = 92°

5.

81° and ∠5 are alternate angles because there are two parallel lines. This means that ∠5 would be 88° as well (alternate angles are equal)

4.

Sum of angles in a triangle = 180°

∠4 + 88 + 64 = 180

∠4 = 35°

3.

Linear pair = 180°

∠3 + 81 + 35 = 180

∠3 = 180 - 81 - 35

∠3 = 64°

2.

Sum of angles in a triangle = 180°

∠2 + 92 + 64 = 180°

∠2 = 24°

Question 5 of 8
In arithmetic, variables look like
Answer here
SUBMIT

Answers

Answer:

In arithmetic, variables look like letters.

Step-by-step explanation:

As we know that Mathematical arithmetic deals with numbers and certain properties with them.

Some of the main properties between numbers are as follows:

AdditionSubtractionMultiplicationDivision

Variables do not remain constant, so we basically assign a number to a variable with an equal operator denoted by '='.

For example, let us assume a variable x being equal to 7. so it can written as:

[tex]x = 7[/tex]

Let suppose the value of the variable x=7 changes to x=10, then the new value will be:

[tex]x = 10[/tex]

Therefore, the correct answer is:

In arithmetic, variables look like letters.

Write an equation for the nth term of the sequence 12, 5, -2, -9,....

Answers

Answer:

n-7

Step-by-step explanation:

when n=12

.: n-7= 12-7=5

when n=5

.:n-7= 5-7= -2

when n=-2

.: -2-7= -9 and so on

The equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.

What is a sequence?

The sequential ordering of two or more things. two or more objects in orderly succession and orderly chronology. an orderly collection of items or concepts that are connected. something that occurs after another event or series of events.

An enumerated collection of things in mathematics known as a sequence allows repetitions and emphasizes the importance of order. It has members, similar to a set. The sequence's length is expressed in terms of its number of elements.

The word "sequence" refers to a grouping of connected items or occasions, or the succession of their occurrences. A group of numbers in a certain order is called a sequence. There are positions first, second, third, and so on for each phrase in a series.

[tex]n=12\\n-7 = 12-7 =5\\n=5\\n-7 = 5 - 7 = -2\\n=-2\\ -2 -7 = -9[/tex]

Therefore, the equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.

Learn more about sequence from here:

https://brainly.com/question/21961097

#SPJ2

Given that a = -1, b=2 and c= -3 ,find the value of a(b2+c2)

Answers

Answer:

a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = = -13

Step-by-step explanation:

Given that a = -1, b=2 and c= -3

find the value of a([tex]b^{2}[/tex]+[tex]c^{2}[/tex])

Just substitute the values given for each variable

a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)([tex]2^{2}[/tex]+[tex](-3)^{2}[/tex]) ; do the exponents first

a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)(4+9)=(-1)(13) ; now add inside the parenthesis;

a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = -13 ; and multiply by -1

The sum of two numbers is 840. One of the numbers is 357. What is the other number?

Answers



We can create a formula first.

X will be the unknown number

840= 357+x
-357 -357

483 = x

Hope this helps

Answer:

Step-by-step explanation:

Given

The sum of two number =840

One number =357

First number+second number=840

357+a=840

a=840-357

a=483

please help due in 5 mins

What is the probability of landing on an even number? (Write your final answer as a percentage.)



P(event)

Answers

Answer: 1/2 which equals 50%

Step-by-step explanation:

Answer:

0.5 because there are 4 numbers and 2 of them are even so it would be 1/2

11) Which of the following is zero of the polynomial x^3+x^2+x+1

1
-1
both options 1 and 2
None​

Answers

Answer:

x = - 1

Step-by-step explanation:

Given

f(x) = x³ + x² + x + 1

If x = 1 is a factor then f(1) = 0

f(1) = 1³ + 1² + 1 + 1 = 4 ≠ 0 , thus x = 1 is not a zero

f(- 1) = (- 1)³ + (- 1)² + (- 1) + 1 = - 1 + 1 - 1 + 1 = 0

Thus x = - 1 is the only zero

The range of the data:25, 81, 20, 22, 16, 6, 17,15,12, 30, 32, 10, 91, 8, 11, 20 is

Answers

Answer:

85

Step-by-step explanation:

The range is defined as the difference between the highest observation and lower observation in a data.

Here,

The Highest observation in this data= 91

The Lowest observation in this data=6

Hence,

Range of the data= Highest observation - Lower observation

=91-6=85

85 is the range i hope this helps

4x² - 3x⁵ + x³ - 8x what is the answer need by today

Answers

Answer:

In standard form -3x⁵ + x³ + 4x² - 8x

Step-by-step explanation:

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