Mathematics Middle School

A 35-meter length of cable is cut into pieces that measure 1.25 meters each. Into how many pieces is the cable cut?

Answers

Answer 1
It can be cut into 28 pieces. 
Answer 2
Final answer:

The cable is cut into 28 pieces.

Explanation:

To find how many pieces the cable is cut into, we can divide the total length of the cable by the length of each piece. In this case, the total length of the cable is 35 meters and the length of each piece is 1.25 meters.

Dividing 35 meters by 1.25 meters gives us:

35 m ÷ 1.25 m = 28 pieces

Therefore, the cable is cut into 28 pieces.

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Related Questions

79+b=159
b=
send help pls... :)

Answers

Subtract 79 from both sides to isolate variable b. 

b = 159 - 79
b = 80
B=80 simple as that

What fraction is equivalent to the repeating decimal 0.18

Answers

18/99 can be reduced, it becomes 2/11 

Therefore the answer is 2/11!!

Hope this helps!!! :)

P.S. You can check it if you wish by dividing 2 by 11! 
Let's begin by setting x equal to our repeating fraction

x=0.18181818...

The next step is a bit of a trick where we multiply by a power of 10 such that what remains to the right of the decimal is the repeating fraction itself, i.e.

100x=18.1818181818...=18+0.18181818...

which can be re-written

100x=18+x

taking x to the left-hand side we get

99x=18

and finally

x=18/99=2/11

Hope this helps!


How to solve these kind of questions.

Answers

to solve those you need to FOIL or rainbow the distributive property

hope this helped

NEED HELP ASAP!!! Susan makes $5 per hour babysitting and $7 per hour as a life guard. Her goal is to make at least $140. which of the following represents three possible solutions to the problem?

Answers

Number of hours Babysitting: x
Number of horus Lifeguard: y

Susan makes $5 per hour babysitting
Money she makes Babysitting: 5x

Susan makes $7 per hour as a life guard
Money she makes as a life guard: 7y

Total money she mahes: 5x+7y

Her goal is to make at least $140:
5x+7y>=140

Answer: First option
5x+7y>=140

Which of the following graphs shows the solution of the inequality
x+1<5
?
A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

[tex]x + 1 < 5 \\ x < 4[/tex]

Answer is C. Graph C

Hope this helps. - M

how to graph (-3,4) ;m=6

Answers

[tex]m=6=\dfrac{6}{1}[/tex]

We have the point (-3; -4) in the coordinate system.

From this point we go 1 unit to the right and 6 units to the up.

We get the second point.

Draw a straight line.

Look at the picture.

A hose fills a hot tub at a rate of 3.45 gallons per minute. How many hours will it take to fill a 280 ​-gallon hot​ tub?

Answers

For this case we must use the following definition:
 Q = V / t
 Where,
 Q: flow
 V: volume
 t: time
 Clearing the time we have:
 t = V / Q
 Substituting the values:
 t = (280) / (3.45)
 t = 81.16 minutes
 In hours we have:
 t = (81.16) * (1/60)
 t = 1.35 hours
 Answer:
 it will take to fill to 280 -gallon hot tub about:
 t = 1.35 hours

It will take approximately 1.35 hours to fill the 280-gallon hot tub.

We have,

A hose fills a hot tub at a rate of 3.45 gallons per minute.

This can be written as an expression:

3.45 gallons = 1 minute

Now,

Multiply 280/3.45 on both sides.

280/3.45 x 3.45 gallons = 280/3.45 minutes

280 gallons = 81.16 minutes

Now,

81.16 minutes can be converted into hours.

Divide 81.16 by 60.

So,

81.16/60 = 1.35 hours

Therefore,

It will take approximately 1.35 hours to fill the 280-gallon hot tub.

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spining a spinner that has 5 equal section marked 1 through 5 and landing on an evean number

Answers

Judging on how the only even numbers between 1 and 5 are 2 and 4. You would use a calculator and do 2÷5 and it will come out as .40 meaning 40%! So there is a 40% chance of landing on a even number! Hope I helped!

2. Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months. Put the numbers in order from least to greatest. Show your work! City A: {4, 3.5, 5, 5.5, 4, 2} City B: {5, 6, 3.5, 5.5, 4, 6} (a) What is the mean monthly rainfall amount for each city? (b) What is the mean absolute deviation (MAD) for each city? Round to the nearest tenth. (c) What is the median for each city? Answer: a) Mean of City A: 24 Mean of City B: 30 b) Find the MAD for each city. City A Absolute Deviation MAD for City A City B Absolute Deviation MAD for City B 4 5 3.5 6 5 3.5 5.5 5.5 4 4 2 6 c) Median of City A: 4 Median of City B: 5.25

Answers

City A: {2, 3.5, 4, 4, 5, 5.5}
City B: {3.5, 4, 5, 5.5, 6, 6}

Mean is the average.
Average of City A = 4 (2+3.5+4+4+5+5.5 = 24 and 24/6 = 4)
Average of City B = 5 (3.5+4+5+5.5+6+6 = 30 and 30/6 = 5)

Mean Absolute Deviation
Mean Absolute Deviation of City A = 0.8
Mean Absolute Deviation of City B = 0.8

Median is the middle (after putting it in order least to greatest)
Median of City A = 4
Median of City B = 5.25 (5+5.5 = 10.5 and 10.5/2 =5.25)

In a '20% off' sale, a coat was £220. Work out the original price.

Answers

80% of p = 220 (We know this as the sale price is 20% off, so there is still 80%)

0.8p = 220

p = 220/0.8 (This is because we are making p the subject of the formula)

p = 275 (If you are not allowed to use a calculator for this, then: 220/0.8 is the same as 2200/8 because we are just simply multiplying both the numerator and denominator by 10. This can be simply worked out by long division)
80% is equal to 220

1) Set up a proportion:
80/100=220/x

2) Simplify:
4/5=220/x

3) Solve by cross-multiplying:
4x=1100
x=275

Original Price: 275

The equation above can be used to calculate the volume V, of a pyramid with a height h and base with length l and width w. If the volume of a pyramid is 81inches^3, and l=w=3h, what is the length of the base of the pyramid in inches?

Answers

Volume of a pyramid is V= lwh/3
You know
V=81
l=3h
w=3h

h=3
l=9
w=9

So length is 9 inches
Comment
The formula for a pyramid = (1/3) L * W * h The base in this case is square.

Givens
L = W
W =W
L = 3H 
H = L/3 = (1/3L)
V = 81 in^3

Solve
V = 1/3 L * W * H
V = 1/3 L * L * 1/3 L
81 = 1/9 L^3   Multiply through by 9
81 * 9 = L^3
729 = L^3  Take the cube root of both sides.
cube root (L^3) = cube root (729)
L = 9 in

how many 1 cup servings can be poured from 1 gallon of milk?

Answers

There are 16 cups in a gallon. 
16 cups Can be poured from 1 gallon of milk

Help I don’t know the answer to this question

Answers

So the x intercept is where y is 0 and x is on the x axis
y intercept, same thing, where x is equal to 0 and it's on the y axis
like the x-intercept would be: (-7,0)
y-intercept: (0,2)

The vanishing point of the picture is represented by point B.

A) The measure of angle ABD is is 6.2 times greater than the measure of angle CBD. Find the measure of angle CBD.

B) Angle FBE and angle EBD are congruent. Find the measure of angle FBE.

Answers

A) Angles ABD and CBD are supplementary, so you have ...
 ∠ABD + ∠CBD = 180°
 6.2(∠CBD) + ∠CBD = 180°
 7.2(∠CBD) = 180°
 ∠CBD = 180°/7.2
 ∠CBD = 25°

B) Angles EBD and CBD are complementary, so you have ...
 ∠FBE = ∠EBD = 90° - ∠CBD
 ∠FBE = 90° - 25°
 ∠FBE = 65°
Final answer:

To solve this, we use the fact that angles around a point add up to 360 degrees and angles on a straight line add up to 180 degrees. This allows us to find angle CBD to be 50 degrees and angle FBE to be 130 degrees.

Explanation:

The subject of this question is geometry, specifically it deals with the properties of angles around a point. In the first part of the question, we are told that angle ABD is 6.2 times greater than angle CBD and we are asked to find the measure of angle CBD. As the total angle around a point is 360 degrees, we can set up the equation ABD + CBD = 360. Given that ABD = 6.2 * CBD, we can replace ABD in our equation, resulting in 6.2* CBD + CBD = 360, solving this gives us CBD = 360/7.2 = 50 degrees.

In the second part of the question, we're told that angle FBE and angle EBD are congruent. This means they have the same measure. Since angle EBD is adjacent to angle CBD and they form a straight line together, their measures add to 180 degrees. Since we already found angle CBD to be 50 degrees, thus angle EBD (or FBE) is 180 - 50 = 130 degrees.

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English has 6 letters that can be vowels. This includes Y, which can be either a consonant or a vowel; for this problem, we'll consider Y a vowel. The other 20 English letters are always consonants. How many two-letter "words" can we make from these letters if we are required to use at least one vowel? (We aren't limited to words that have an actual meaning in English. Thus, for this problem, we'll include nonsense "words" like QO, XY, and UZ.)

Answers

I think this should be posted in English instead of Math... but you can make lots of words.

as
my
he
we
me
by
hi
so
go
to

These are just a few.

Write an inequality involving the variable x that describes the set of numbers graphed.

Answers

Since it does not include 0 in the inequality, nor does it include any numbers below 0, it must be [tex]\boxed{x\ \textgreater \ 0}[/tex]. 

susan surveys 20 people in her math class to find out the most popular movie. 5 students say star wars if the are 200 students in the total 7th grade using a proportion find out how many students susan would expect to like Star Wars

Answers

5 out of 20 like Star Wars so what value (x) should like Star Wars out of 200. Set up a proportion comparing the two.

x= # of people in 7th gr who like Star Wars

5 out of 20= x out of 200
5/20= x/200
cross multiply

(5*200)= (20*x)
1000= 20x
divide both sides by 20

50= x


ANSWER: 50 people in the 7th grade should like Star Wars.

Hope this helps! :)

Answer:

50 people

Step-by-step explanation:

please rate and thank


A saving account pays 3.6% per annum simple interest Heidi puts £400 into the account, how much will she have in the account after 5 years?

Answers

One year:
0.036(400)+400
Because it is 5 years:
5(0.036(400))+400
0.18(400)+400
We can make it simpler:
1.18(400)
Multiply
472
SHE WILL HAVE £472
Final answer:

Using the simple interest formula, Heidi will gain £72 in interest on her initial £400 deposit over 5 years at an interest rate of 3.6%. Therefore, she will have a total of £472 in her account at the end of 5 years.

Explanation:

The subject of this question is simple interest calculation which is a topic in Mathematics. It's all about calculating the final amount Heidi will have in her account after 5 years, with a simple interest rate of 3.6% on her initial deposit of £400.

Given the simple interest formula, Interest = Principal × Interest rate × Time, here, the principal is £400, the interest rate is 3.6% (which is 0.036 as a decimal), and time is 5 years.

Using the formula: Interest = £400 × 0.036 × 5 = £72

So, Heidi earns £72 in interest over 5 years.

To find out how much money she will have after 5 years, we will need to add the interest to the initial deposit: Amount = Principal + Interest which gives: Amount = £400 + £72 = £472

So after 5 years, Heidi will have £472 in her account.

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Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information. Which equation can Jeremy use to determine the amount of raisins in the trail mix?
a.r + 1.50 = 1.5r
b. r + (5 – r) = 5
c. 1.5r + 2.5(5 – r) = 10.50
d. 1.5r + 2.5(5 – r) = 5

Answers

Answer:

Option C.

Step-by-step explanation:

Let Jeremy mixes "r" pounds of raisins to make a trail mix.

As the total weight of trial is = 5 pounds

So weight of peanuts in the trail mix will be = (5 - r )

Now cost per pound of raisins = $1.50

so cost of r pounds of raisins = $1.50(r)

Cost of the peanuts = $2.50 per pound

so cost of (5 - r) pounds peanuts = $2.50(5 - r)

Jeremy spends total amount = $10.50

So expression will be

Cost of Raisins + cost of peanuts = cost of trail.

1.5r + 2.5(5 - r) = 10.50

Option C. is the answer.

Solve for x
X3=1/27
Solve in fraction simplest form

Answers

x³ = 1/27
x=³√1*1*1/3*3*3
x= 1/3
Factor using difference of cubes and set each factor equal to 0.

[tex]x= [/tex] [tex] \frac{1}{3} [/tex], [tex]- \frac{1-i \sqrt{3} }{6} [/tex],  [tex]- \frac{ 1+i \sqrt{3} }{6} [/tex]

Hope i was of some help ^.^

Plz show work and explain
Haley and Madison are arguing over a math problem. Haley insists that a square with a area of 196 square units is bigger than Madison’s square that has a perimeter of 196 units. Who is correct and why?

Answers

Perimeter of a square is:

4 * s

where s is the side length.

Area is:

s * s

So, we can set both of these values to 196.

4s = 196
s = 49

s * s = 196
s = 14

So, Madison is correct.

Hope this helped!

Yo I just need to get this right so help me out

Answers

Answer:

1) yes--first term is -48, common ratio is -2

2) no--no common ratio

3) yes--first term is 3, common ratio is 3

4) yes--first term is 5, common ratio is 2

5) no--arithmetic sequence

6) no--arithmetic sequence

Name the algebraic property that is being shown in the example: 4(x+3) = 4x + 12

Answers

The property you use to get from 4(x + 3) to 4x + 12 is the distributive property. 

What is the true solution on 2 in e ^in 5x=2 in 15

Answers

2In (e^(In5x))= 2 ln15

In(e^x)=x

2(ln5x)=2ln15

In 5x=In 15

5x= 15 

x= 3

genius

A company's profit is described by the equation P(x)=-5x^2+300x+15,000
Where x is the price in dollars that the company charges for its product. What should the company charge for the product to generate the maximum profit?

A)$20

B)$30

C$50

D$60

Answers

P(x)=-5x^2+300x+15,000 is the equation of a parabola and represents profit.  Its graph opens down.  Our job is to find the x-coordinate of the vertex (which is the x-coord of the maximum profit) and then the corresponding y-value.

The formula x = -b / (2a) will produce that x-coordinate:

        -(300)
x = ------------ = 30
         2(-5)

When x=30 units, y = profit = -5(30)^2 + 300(30) + 15000 = $19500  (answer)



The company charge for the product to generate a maximum profit is $30. Then the correct option is B.

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

A company's profit is described by the equation

[tex]\rm P(x)=-5x^2+300x+15000[/tex]

Where x is the price in dollars that the company charges for its product.

Differentiate the equation with respect to x.

[tex]\rm \dfrac{dP(x)}{dx}=-10x+300[/tex]

For the maximum price

[tex]\rm \dfrac{dP(x)}{dx} = 0\\[/tex]

Then we have

[tex]\begin{aligned} \rm -10x+300 &= 0\\\\\rm 10x &= 300\\\\\rm x &= 30 \end{aligned}[/tex]

Then the company charge for the product to generate the maximum profit is 30 dollars for each.

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A small refrigerator is a cube with a side length of 14 inches. Use the formula S = 6s2 to find the surface area of the cube.

Answers

Formula = 6s²

Surface area = 6 (14)² = 1176 in²

Answer: 1176 in²

What must you do if you multiply one number in a ratio by n?

Answers

Hi there!

From what I know, when you multiply one number in a ratio, you must also multiply the other number by the same number. This allows for the ratio to stay the same, thus keeping it correct. If both terms were not multiplied by n, the ratio would no longer be the correct ratio.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

Hideki throws a baseball ball upward with an initial velocity of 12 meters/sec. When he throws the ball, it is two meters above the ground. How long will it take the ball to hit the ground?

Answers

For this case we have the following kinematic equation that models the problem:
 h (t) = (1/2) * (- 9.8) * t ^ 2 + 12 * t + 2
 Rewriting we have:
 h (t) = -4.9 * t ^ 2 + 12 * t + 2
 When the ball hits the ground we have:
 -4.9 * t ^ 2 + 12 * t + 2 = 0
 Solving the polynomial we have:
 t1 = -0.16
 t2 = 2.61
 We ignore the negative root because it is time.
 Answer:
 It will take the ball to hit the ground about:
 t = 2.61 sec

Answer:

-4.9^2 + 12t + 2 = 0

Step-by-step explanation:

A rectangular bathtub is 5 1/2 feet long, 1 1/2feet wide, and 3 feet high. Daniel fills the tub to a depth of 2feet.What is the volume of the water in the tub?

Answers

To find the volume of the water that is in the tub, you will multiply the length by the wet by the height/depth of the water.

V = lwh
5 1/2 x 1 1/2 x 2
V = 16 1/2 ft.³

what does it mean if the quotient times the divisor does not equal the dividend? What should you do?

Answers

say just for a example, that you have 400 divided by 20. The correct answer is 20. But say that you got ten. You would say how many times can 20 go into 40? The answer would be twice. Then, you would say, how many times can 20 go into zero. The correct answer would be 0. you should go back to your work and check and ask yourself those problems and see if they match. Hope this helps!

Final answer:

When the quotient times the divisor does not equal the dividend, it means there is a remainder. Depending on the context of the problem, you can round down, express the remainder as a fraction or decimal, or choose another appropriate method.

Explanation:

When the quotient times the divisor does not equal the dividend, it means that the division did not result in an exact whole number. This is called a remainder. For example, if you divide 15 by 4, the quotient is 3 and the remainder is 3. So, 3 times 4 does not equal 15.

If you encounter this situation, you can do a few things. You can round the quotient down to the nearest whole number, or you can express the remainder as a fraction or decimal. It depends on the context of the problem and what is required.

For example, if you are dividing cookies among friends, you may want to express the remainder as a fraction, saying each friend gets 3 and a half cookies. But if you are calculating the number of whole boxes needed, you may round down to 3 boxes.

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