Mathematics Middle School

Jerry started doing sit-ups every day. The first day he did 15 sit-ups. Every day after that he did 4 more sit-ups than he had done the previous day. Today Jerry did 65 sit-ups. Write an equation that could be solved to find the number of days Jerry has been doing sit-ups, not counting the first day. Let n represent the number of days.
Thanks

Answers

Answer 1

The first day Jerry did 15 sit-ups:

a0 = 15

The 2nd day he did 4 more sit-ups then the previous:

a1 = a0 + 4

The 3rd day he did 4 more sit-ups then the previous:

a2 = a1 + 4

a2 = a0 + 4 + 4

a2 = a0 + 4*4

the (n+1)-th day he did:

an = a0 + 4n

Today Jerry did 65 sit-ups means we have: an = 65 and we need to find n

a0 + 4n = 65

15 + 4n = 65

Now to solve

subtract 15 from both sides

4n = 50

divide both sides by 4

n = 12.5

But I think this is counting the first day

Not counting the first day would be

4n = 65

n = 16.25

I guess that's the answer :)

Related Questions

Write in slope-intercept form an equation of the line that passes through the given points. (−9, 5), (−3, 3)

Answers

The slope intercept form is the y = mx + b
We need to solve for the slope first
remember
the slope is the change in y/ over the change in x
y2 - y1 / x2 - x1
3 - 5 / -3 --9
-2/6 this can be simplified to -1/3
That is the slope so we plug it into the equation
y = mx + b
m = slope
y = -1/3x + b
Now to solve for the y-intercept, we plug in one of the coordinates to solve for b
3 = -1/3(-3) + b
3 = 1 + b
3 = b + 1
subtract 1 from both sides
2 = b
That is the point where it intercepts the y-axis
(0,2)

Now we have our equation for the line that passes through the points, (-9,5)(-3,3).
That equation is y = -1/3x + 2

Hope this helps :)

The slope intercept format is y = -1 / 3x + 2

The slope intercept formula is represented as follows

y = mx + b

where

m = slope

b = y-intercept

Therefore, let's find m using the coordinates (-9, 5)(-3, 3)

m = 3 - 5 / -3 - (- 9) = -2 / 6 = - 1 / 3

let's find b using the coordinate(-3, 3)

3 = -1 / 3 (-3) + b

3 = 1 + b

b = 2

Finally,

y = -1 / 3x + 2

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The ratio table shows the depths of water in a fish tank for different numbers of gallons. Find the unit rate in inches per gallon. Give your answer in decimal form.

Answers

how dos3es it want it in decimsal form there are a couple ways in decimal form at list i was tought

Answer:

0.5

Step-by-step explanation:

Tilly the dog barks every 9 seconds.
Billy the dog barks every 12 seconds.
They both bark at the same time.

After how many seconds will they next bark at the same time?

Answers

Aww... I have a dog named Tilly, *Ahem* It would take 36 seconds. Hope this helpz...

For this question you need to find the Lowest Common Multiple (LCM) of 9 and 12. We do this by finding the prime factorization of each number.
9 = 3 x 3
12 = 3 x 4
The LCM is found by multiply the highest number of each factor.
LCM = 3 x 3 x 4 = 36.

A right triangle has a vertex at point M and a height of 6 units. The base of the triangle is on MN←→− and is 2 units long. One of the vertices of the triangle is at M. Use the Polygon tool to draw the triangle. Each segment on the grid represents 1 unit.

Answers

Answer: go left 5 spaces from point M and go down 2 spaces from point M.

i ended up getting the answer wrong but the green outline from the dots shows what the correct answer is.

Answer:

Here's what I got. The red color is incorrect. Follow the yellow one.

Sharon is building bookshelves for her room.She bought a board that is 10 1/2 feet long.If she cuts the board in three equal pieces, how long will each shelf be?

Answers

Each shelf would be 3 1/2 inches

Hey there!

To solve this you divide 10 1/2 by 3:

10 1/2 = 21/2
3 = 3/1

21 x 1 = 21
2 x 3 = 6

21/6 is the answer, but when we simplify it we get 3 1/2 as our final answer.

Each shelf will be 3 1/2 feet long.

Hope this helps you.
Have a great day!

Which properties did Jacques use to solve the following problem? (You may select more than one answer)
1 x (6 + 28)
(1x6) + (1x28)
6 +28
34
1.Distributive Property
2. Identity property of addition
3. Assoc property of addition
4. Identity property of multilpilication

Answers

distributive property and identity property of multiplication

Answer: Your answer is 1. and 4.

Step-by-step explanation:

Mark me brainliest.

Make these fractions mixed numbers
15/4
51/25
17/12
16/6
92/30

Answers

1) 15/4 = 3 3/4
2) 51/25 = 2 1/25
3) 17/12 = 1 5/12
4) 16/6 = 2 2/3
5) 92/30 = 3 1/15

Which answer describes the type of sequence? 99, 89.9, 78.8, 68.7, ... a)geometric

b)arithmetic

C)neither arithmetic nor geometric

Answers

c. neither arithemtic nor geometric

ANSWER

C)neither arithmetic nor geometric

EXPLANATION

The given sequence is

[tex]99,89.9,78.8,68.7,...[/tex]

Let us check to see if there is a constant difference.

[tex]89.9 - 99 = - 9.1[/tex]

[tex]78.8 - 89.9 = - 11.1[/tex]

The two difference are not the same.

Since there is no constant difference, the sequence is not arithmetic.

Let us check to see if there is a common ratio,

[tex] \frac{89.9}{99} = \frac{899}{990} [/tex]

[tex] \frac{78.8}{89.9} = \frac{788}{899} [/tex]

Since the ratio is not the same,the sequence is not geometric too.

The sequence is neither arithmetic nor geometric.

The correct answer is C

Baileigh is using a piece of string to hang a painting on the wall. The back of the painting is diagrammed below. 36 cm 36 cm 15 cm 15 cm Note: Figure is not drawn to scale. What is the length of the string? A. 78 centimeters B. 102 centimeters C. 39 centimeters D. 51 centimeters

Answers

es el literal A 78 centimetros

solve: 2x+6-10x=30

PLEASE ANSWER CORRECTLY WILL MARK AS BRAINLIEST ANSWER
(dont do it just for points or i will report u)

Answers

the answer will be -3

23,009,018 word form

Answers

Twenty three million, nine thousand, eighteen

Twenty Three million nine thousand eighteen. I hope this helped:)

What is the answers to this math worksheet ?

Answers

For #1 the median is 16

Solve the problem. Use 3.14 for 4072-07-02-02-00_files/i0170000.jpg, and round your answer to the nearest tenth.
The foundation for a fountain is a cylinder 19 feet in diameter and 5 feet high. How much concrete is needed to pour the foundation?

a.
2833.9 ft3
b.
5667.7 ft3
c.
1416.9 ft3
d.
596.6 ft3

Answers

Volume= (3.14)r^2h
Volume= 3.14 (9.5)^2 5
Volume= 1416.9 ft^3

The amount of concrete that is required to fill the fountain is given as 1433.61 ft³. None of the options is correct.

What is a right circular cylinder?

A right circular cylinder is a three dimensional figure having its base and top as a circle and the height is perpendicular to circular base. The volume is given as V = πr²h.

The height of fountain is 5 feet.

And, the diameter is 19 feet.

Then, the radius is given as 19/2 = 9.5 feet.

The amount of the concrete filled is equivalent to the volume of cylinder given as,

Plug h = 5 and r = 9.5 in V = πr²h as below,

⇒ V = 3.14 × 9.5² × 5 = 1433.61

Hence, the amount of concrete is given as 1433.61 ft³.

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There are 7 cards with a picture of a rose and 2 cards with a picture of a daisy. Alfa keeps all the cards face down on the table with the pictures hidden and mixes them up. She then turns over one card face up and finds the picture of a rose on it. She removes this card from the table and turns over another card without looking. What is the probability that the card that Alfa turns over has a rose on it? 6 over 9 6 over 8 7 over 9 7 over 8

Answers

The answer would be 6/8 because she has already taken out one of the rose cards, so now you're only left with 8 cards. There are still 2 daisy cards, so you would subtract 8 by 2 and get 6. This makes it 6/8.

Answer: [tex]\dfrac{6}{8}[/tex] or 6 over 8.

Step-by-step explanation:

Given: The number of card having rose on it = 7

The number of card having daisy on it = 2

Then the total number of cards on table = [tex]7+2=9[/tex]

After removing one rose card , the total number of cards left on table = 8

The number of rose card left on table = 6

Now, the required probability is given by :-

[tex]\text{P(Rose)}=\dfrac{\text{Number of rose card }}{\text{Total cards}}\\\\\Rightarrow\text{P(Rose)}=\dfrac{6}{8}[/tex]

Hence, the probability that the card that Alfa turns over has a rose on it = [tex]\dfrac{6}{8}[/tex]

Order the set of numbers from least to greatest: negative 5 over 6, negative 5, negative square root 26, negative 31 over 6

Answers

Your calculator can be of great help here.

-5/6 = - 0.833333

- 5

- sqrt(26) = - 5.09

- 31 /6 = - 5.1666

Rule: the "larger" the number numerically in the minus region, the smaller the number actually is. Think money. Which would you rather be - 1000 dollars or - 100 dollars. Well you may say neither, but you have to choose. I would rather be just 100 dollars in debt which is - 100 from my point of view.

So the order from smallest to largest is

-31/6, -sqrt(26), -5, -5/6

Remember that -5/6 is 83 cents in debt.

Use the Pythagorean theorem to determine the distance between point A(-8,8) and point B(-5,1), the distance between point C(2,7) and point D(8,-5), and the distance between point E(3,-7) and point F(-6,-9).

The distance between points__and __is the greatest. The distance is___units.

Answers

Final answer:

The Pythagorean theorem is used to find the distance between points in a coordinate plane by calculating the hypotenuse of a right triangle formed by the coordinates. The greatest distance is between point B and point E.

Explanation:

To find the distance between two points using the Pythagorean theorem, you need to know the coordinates of the points. The formula for the distance between two points (x1, y1) and (x2, y2) is:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

For point A(-8,8) and point B(-5,1):For point C(2,7) and point D(8,-5):For point E(3,-7) and point F(-6,-9):

The greatest distance is between point B and point E, which is approximately __units long.

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-4x-2(8x+1)=-(-2x-10)

Answers

-4x - 2(8x + 1) = -(-2x - 10)

The first step is to distribute. On the left side of the equation, multiply the -2 by both terms inside the parentheses; on the right side of the equation, multiply the -1 by both terms inside the parentheses:

-4x - 2(8x + 1) = -(-2x - 10)
-4x - 16x - 2 = 2x + 10

Next, combine like terms.

-4x - 16x - 2 = 2x + 10
-20x - 2 = 2x + 10

Then subtract 2x from both sides and add 2 to both sides to get like terms together; combine like terms.

-20x - 2 = 2x + 10
-20x - 2x = 2 + 10
-22x = 12

Lastly, divide both sides by -22 and simplify.

-22x = 12
x = 12/-22
x = -6/11

Answer:
-6/11

How many different ways can five dolls be arranged?
13
12
120
150

Answers

We are given

total number of dolls =5

and there are five spaces only to be arranged in

In first space:

Any five dolls can be put in

so, number of ways of putting dolls in first space is 5

In Second space:

One doll is already put in first space

so, only four dolls can be put in

so, number of ways of putting dolls in second space is 4

In Third space:

One doll is already put in second space

so, only three dolls can be put in

so, number of ways of putting dolls in third space is 3

In Fourth space:

One doll is already put in third space

so, only two dolls can be put in

so, number of ways of putting dolls in fourth space is 2

In Fifth space:

One doll is already put in fourth space

so, only one dolls can be put in

so, number of ways of putting dolls in fifth space is 1

so, total number of ways five dolls can be arranged

[tex] =5*4*3*2*1 [/tex]

[tex] =120 [/tex].................Answer

Answer:

120

Step-by-step explanation:

just a simple awnswer for those imapatient peeps

Please Help!!!

A system of equations is graphed on the coordinate plane.

2y=3x−14y=6x−2

Graph of an equation that slopes up and toward the right.

Select the number of solutions for the system of equations from the drop-down menu.

Answers

The picture shown is the graphs of the two lines. You can see from the picture that they intersect at one point; therefore there is one solution to the system of equations.

The awnser is "Infinitely many solutions" Hope this helps

A rectangle has an area represented by x^2-4x-12 feet. If the length is x+2 feet, what is the width?

Answers

The width is (x-6)............

Just 14 and 15 please

Answers

14. The answer to this question is D, because if you think about a percent as over a 100, you can conclude that 59% = 59/100. Then, to get the total length, you multiply that percent by the overall length which is 40.

15. Same thing as above, and the answer is, again, D.

What is the total surface area of the figure shown?

Answers

we know that
[surface area of the figure]=2*[(12+30)*14]+2*[24*14]+2*[18*10]+2*[24*12]
[surface area of the figure]=1176+672+360+576-----> 2784 in²

the answer is
the surface area of the figure is 2784 in²

Which equation can be used to determine p, the cost of b swim bags? p = 7.50 + b b = 7.50 + p p = 7.50b b = 7.50p

Answers

Answer:

I think its p= 7.50b

Step-by-step explanation:

I picked p= 7.50 + b and b= 7.50 + p but they were both wrong so im assuming that its p= 7.50b

Answer:

Your answer would be C. p = 7.50b.

Step-by-step explanation:

Hope this helps!! :)

10 POINTS PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!
A group of 7th and 8th graders were asked if they like playing tennis. This two-way frequency table shows the proportion of students from each grades that like or do not like playing tennis. Like playing tennis Do not like playing tennis 7th Grade 0.42 0.58 8th Grade 0.47 0.53 Which conclusions can be made from the table? Select each correct answer. For both grades, more students like playing tennis than did not like playing tennis. Among the 7th graders, more students like playing tennis than do not like playing tennis. The 8th graders have a larger percentage of students that do not like playing tennis than do like playing tennis. Compared to the 8th graders, a smaller percentage of the 7th graders like playing tennis.

Answers

Well if the 7th graders like tennis more than the 8th graders
then the amount of 7th graders like tennis is .58
and the 8th graders is .47.
Let me know if I'm wrong
Hope it helps

Answer:

The 8th graders have a larger % of students that do not like playing tennis than do like playing tennis

Compared to the 8th graders, a smaller percentage of the 7th graders like playing tennis.

those are the correct answer

Step-by-step explanation:

I did the test proof VVV VVV VVV

Find the diagram a || b

Answers

a is the answer i hope this heps

Eight students share 12 mini oatmeal muffins equally and 6 students share 15 mini apple muffins equally. Carmine is in both groups of students.

What is the total number of mini muffins Carmine gets?

Carmine gets (___)
muffins.

Answers

12 for 8 that is 1.5 per person
15 for 6 that is 2.5 per person

She would get 4 muffins

Hope this helps

the total number of mini muffins Carmine gets is 4.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, Eight students share 12 mini oatmeal muffins equally and 6 students share 15 mini apple muffins equally.

In first group,

Each student will get = 12/8

Each student will get = 3/2 mini muffin

In second group,

each student will get = 15/6

each student will get = 5/2

Since, carmine is in both the groups,

She will get = 5/2 + 3/2

Carmine will get total mini muffin = 8/2 = 4

Therefore, Carmine will have 4 muffins for herself.

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In the triangle m∠1 = 42°, and m∠4 =81°. What is m∠2°?

Question 5 options:

39°

99°

42°

132°

Answers

Final answer:

To find the measure of angle 2 in the given triangle, subtract 180 degrees from the sum of the other two angles.

Explanation:

To find the measure of angle 2 in the given triangle, we need to use the fact that the sum of angles in a triangle is always 180 degrees.

Thus, Angle 3 can be found by subtracting angles 1 and 2 from 180 degrees: Angle 3 = 180 - 42 = 138 degrees.

Finally, Angle 2 can be found by subtracting Angle 3 and Angle 4 from 180 degrees: Angle 2 = 180 - 138 - 81 = 39 degrees.

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What is the value of x?

Answers

we have that
x/(x+5)=(x-2)/(x+1)---------- > x*(x+1)=(x-2)*(x+5)- -----> x²+x=x²+5x-2x-10
x²+x=x²+5x-2x-10------- > 2x=10
x=5

the answer is x=5

A 14-ounce box of cereal sells for $2.10. what is the unit rate.

Answers

Final answer:

To find the unit rate for a 14-ounce box of cereal selling for $2.10, divide the price by the number of ounces to get $0.15 per ounce.

Explanation:

The unit rate for a 14-ounce box of cereal selling for $2.10 can be calculated by dividing the price of the box by the number of ounces it contains. To find the unit rate, you would perform the following calculation:

Unit rate = Price per box ÷ ounces per box

Unit rate = $2.10 ÷ 14 ounces

Unit rate = $0.15 per ounce

Therefore, the unit rate or cost per ounce for the cereal is $0.15.

Choose the set of measurements listed in order from greatest to least.
A. 20 kl, 20 L, 20 ml
B. 20 L, 20 ml, 20 kl
C. 20 ml, 20 L, 20 kl
D. 20 ml, 20 kl, 20 L

Answers

i belive the answer is c

Answer:

Whats up? Its c

Step-by-step explanation:

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