What is (-102.75) divided by (-3) rounded to the nearest hundredth

Answers

Answer 1
34.75 If you have two negative if will automatically becaome positive but only in multiplication and division.So you just divide the 3 into 102.75 which give you 34.75.
Answer 2

Answer:

34 .25.

Step-by-step explanation:

Given  :  (-102.75) divided by (-3).

To find : value rounded to the nearest hundredth.

Solution : We have given   (-102.75) divided by (-3).

On dividing

[tex]\frac{-102.75}{-3}[/tex].

⇒ 34 .25

It is already nearest hundredth.

Therefore,  34 .25.


Related Questions

How to find the surface area of certain 3 dimensional shapes

Answers

There are formulas for the area of triangles, various quadrilaterals, regular polygons, sections of circles and spheres (including whole circles and spheres). In general, you make use of the appropriate formula or combination of formulas for the shape of interest.

If the shape does not conform to one of these, but is described by a formula, then methods of calculus (integration) can be used to find the surface area.

A few of the relevant formulas are
.. triangle area = (1/2)bh . . . . b = base length; h = height measured perpendicular to the base
.. rectangle or parallelogram area = bh . . . . b and h defined as for a triangle
.. trapezoid area = (1/2)(b₁ +b₂)h . . . . b₁ and b₂ are the lengths of the parallel bases, h is the perpendicular distance between them
.. circle area = π*r^2 . . . . r is the radius
.. sphere area = 4π*r^2 . . . . r is the radius
.. lateral area of a cone = π*rh . . . . r is the radius of the base, h is the slant height

in rectangle abcd measure of angle d =(3x+15) measure b =(6x-42) find measure of angle a

Answers

5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore, 
[tex]6x-42=3x+15\\3x=57\\x=19[/tex]

Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B = [tex]6(19)-42=72[/tex]
Now, remember that ∠B or ∠D are supplements of ∠A. 
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.

Briana surveys five students from four different classrooms. She asks them about the number of hours they spend on the Internet every day. This is the data from her survey: classroom A: 0, 0, 0, 1, 1 classroom B: 1, 1, 1, 2, 2 classroom C: 2, 3, 3, 3, 4 classroom D: 1, 2, 2, 2, 3 Which classroom's data has the highest center of distribution?

classroom A


classroom B


classroom C


classroom D

Thank you!

Answers

classroom c. because when i added all of the numbers and divide it by 5 it came out with the highest average.

Answer:

Classroom C

Step-by-step explanation:

all you do is add it then divide it by 5 and boom

BRAINLIEST IF CORRECT PLEASE SHOW WORK:)

Evaluate. 8 2/9 −7 1/6

A: 1/18
B: 1 7/18
C: 1 1/3
D: 1 1/18

Answers

First of all, you will want to change the fraction to have the same denominator.

The common factor for 9 and 6 is 18. (9x2=18 and 6x3=18)
Then, you multiply the numerator by the factor you got in the first step, which is 2 and 3, respectively.
So the new fractions are [tex] \frac{4}{18} [/tex] and 7 [tex] \frac{3}{18} [/tex]

The next step is to simply subtract the mixed numbers!
[tex]8 \frac{4}{18} [/tex][tex] \frac{3}{18} [/tex] = 1 1/18

The answer would be D: 1 1/18!
the answer would be d 1 1/18 because you have to convert the 1/6 to 3/18 and 2/9 to 4/18 so 4/18 minus 3/18 is 1/18 and 8 minus 7 is 1 so it is 1 1/18

Write the time 8:30 then write this time in two other ways using words

Answers

Final answer:

The time 8:30 can be written in two other ways using words: eight thirty and half past eight.

Explanation:

The time 8:30 can be written in two other ways using words as follows:

Eight thirtyHalf past eight

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Final answer:

The time 8:30 can be written in words as 'Half past eight' and 'Thirty minutes past eight'. These phrases show the same time but express it in different ways.

Explanation:

The time 8:30 can be written in two other ways using words. One way is to say 'Half past eight'. Another way is 'Thirty minutes past eight'. These phrases encapsulate the same time but offer variation in how the time can be expressed verbally or in writing.

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WILL GIVE BRAINLIESTTT HELP PLEASE

Answers

The volume of the top part of the cake is 384 cubic in.
The volume of the bottom part of the cake is 768 cubic in.
If you add both of those together, you get 1,152 cubic in.
Volume = Length x Width x Height

Find the volume of the top stack of cake
12 x 8 x 4 = 384

Now find the second volume
16 x 12 x 4 = 768

Add together
768 + 384 = 1152
D.) 1152 is your answer

John uses 9 eggs to make 5 breakfast burritos. How many burritos can he make 27 eggs

Answers

he can make 15 breakfast burritos.

the length of a rectangular garden is 5 feet longer than its width. The garden is surrounded by a 2-foot-wide sidewalk. The sidewalk has an area of 76 square feet. Find the dimensions of the garden.

Answers

he width is 5 feet and the length 10 feet 

Let the width of the garden = W 
Therefore the length = W + 5 

The two sidewalks alongside the length are therefore W + 5 feet long by 2 feet wide = 2(W + 5) square feet each 
The 2 sidewalks alongside the width = W feet long by 2 feet wide = 2W square feet each 
In addition there are the 4 corners which are each 2 feet by 2 feet = 4 square feet each 
Area of sidewalk is therefore 

2 * lengths = 2 * 2(W + 5) = 4W + 20 
2 * widths = 2 * 2W = 4W 
4 corners = 4 * 4 = 16 square feet 
But we are told that the area = 76 square feet 
Therefore 4W + 20 + 4W + 16 = 76 
8W + 36 = 76 
8W = 40 
W = 5 
Therefore as the width is five feet the length is 5 + 5 = 10 feet

Final answer:

By setting up equations based on the given information about the garden and the sidewalk around it, and then solving for the width, we find that the width of the garden is 5 feet, and its length is 10 feet.

Explanation:

Let's denote the width of the garden as w feet. Therefore, the length of the garden can be represented as w + 5 feet, since it is mentioned that the length is 5 feet longer than its width. Surrounding the garden, there is a 2-foot-wide sidewalk which affects the overall dimensions of the combined area (garden plus sidewalk). The width and length of this entire area would thus be w + 4 and w + 9 respectively, adding 2 feet on each side for the sidewalk.

To find the area of just the sidewalk, which is given as 76 square feet, we first calculate the area of the entire (garden plus sidewalk) rectangle, and then subtract the area of the garden. The equation for the area of the entire rectangle is (w + 4)(w + 9), and for the garden alone, it's w(w + 5). The difference between these areas gives us the area of the sidewalk:

(w + 4)(w + 9) - w(w + 5) = 76

Expanding and simplifying this equation gives us a quadratic equation to solve for w. Simplifying further:

w^2 + 13w + 36 - w^2 - 5w = 76

8w + 36 = 76

8w = 40

w = 5

Therefore, the width of the garden is 5 feet and the length is 10 feet (5 + 5).

meagan has $1.10 in dimes nickels and pennies she has three times as many nickels as pennies and the number of dimes is two less than the number of pennies how many dimes nickels and pennies dose she have please help

Answers

x = pennies

3x = nickels

x-2 = dimes

0.01x + 0.05(3x) + 0.10(x-2) = 1.10

0.01x + 0.15x + 0.10x - 0.20 = 1.10

0.26x-0.20 = 1.10

0.26x = 1.30

x = 1.30 / 0.26 = 5

5 pennies
5-2 = 3 dimes
3*5 = 15 nickels

check: 5 pennies = 0.05, 3 dimes = 0.30, 15 nickels = 0.75
0.75 + 0.30 + 0.05 = 1.10

pennies = 5
nickels = 15
 dimes = 3

Draw a picture to show how to find12+37

Answers

so i drew 12 circles and 37 circles
And i got 49 total:D 
i hope this helps and sorry that the pic is wierd:(


A hiker walks an average rate of 2 miles per hour. Write a multiplication equation to find how long it will take for the hiker to walk 11 miles?

Answers

y= X/2

-----
y= 11/2
y= 5.5 hrs

Find the arc measure ML.

Answers

arc ML = 2×∠MNL
  = 2×43°
  = 86°

_____
The measure of an inscribed angle is half the measure of the arc it intercepts. This simple relationship is used in many geometry problems, so is worth remembering (or at least, writing down in a handy place).

∠1 and ​ ∠2 ​ are vertical angles. ∠2 ​ has a measure of 63°.

What is the measure of ​ ∠1 ​?

Enter your answer in the box.

Answers

Vertical angles share a vertex, or basically a point, and are the opposite angles formed by two intersecting lines. They have the same angle measure (they're congruent).

So, if m∠1 = 63°, then m∠2 = 63°.

Vertical angles are formed when two lines intersect. The measure of the ∠1 when ∠1 and ​ ∠2 ​ are vertical angles is 63°.

What are vertical angles?

Vertical angles are a pair of angles formed when two lines intersect each other, these angles are always opposite to each other and measure the same.

We know about the vertical angles, therefore, if the pair of angles ∠1 and ​ ∠2 ​ are vertical angles, then the measure of the two angles is equal.

Now, as it is given that the measure of the ∠2 ​is 63° and ∠1 and ​ ∠2, therefore,

∠1 =​ ∠2 = 63°

Hence, the measure of the ∠1 when ∠1 and ​ ∠2 ​ are vertical angles is 63°.

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Interpret the scatter plot of the data for the amount of paint used to paint signs of various lengths based on the shape of the distribution

Answers

Answer: The shape of the points in the scatter plot resemble an increasing exponential equation.

The set of data shown in the scatter plot best models an exponential equation. In this case the points are increasing. However, it is not at a linear (constant) rate. The points keep going up faster as the x-value increases.

Answer:

The shape of the points in the scatter plot resemble an increasing exponential equation.

Step-by-step explanation:

As you can tell it increases because it is going up on the graph.

Stephanie is going to summer camp. There are three cabins to which she could be assigned: Pine Cabin, Maple Cabin, or Spruce Cabin. She can be assigned either a top bunk bed or bottom bunk bed.

Answers

Answer: The probability of Stephanie being on a top bunk is 50%

The probability of Stephanie being in Spruce Cabin is 3333.3%

The probability of Stephanie being in Pine cabin on bottom bunk is 80%

Step-by-step explanation:

The probability of Stephanie being assigned to the Pine Cabin and a bottom bunk bed is 1/6.

We have,

To find the probability of Stephanie being assigned to a specific cabin and a specific bunk, we need to know the total number of possible outcomes.

In this case, there are 6 possible outcomes because there are 3 cabins and 2 bunk bed options for each cabin:

Pine Cabin, top bunk

Pine Cabin, bottom bunk

Maple Cabin, top bunk

Maple Cabin, bottom bunk

Spruce Cabin, top bunk

Spruce Cabin, bottom bunk

Let's say we want to find the probability of Stephanie being assigned to the Pine Cabin and a bottom bunk bed.

There is only one outcome that satisfies this condition (Pine Cabin, bottom bunk),

So the probability is:

1 outcome / 6 possible outcomes = 1/6

Therefore, the probability of Stephanie being assigned to the Pine Cabin and a bottom bunk bed is 1/6.

We can similarly calculate the probability for any other combination of cabin and bunk bed by counting the number of outcomes that satisfy the condition and dividing by the total number of possible outcomes.


Thus,

The probability of Stephanie being assigned to the Pine Cabin and a bottom bunk bed is 1/6.

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The complete questions:

Stephanie is going to summer camp. There are three cabins to which she could be assigned: Pine Cabin, Maple Cabin, or Spruce Cabin. She can be assigned either a top bunk bed or bottom bunk bed.

Find the probability of Stephanie being assigned to the Pine Cabin and a bottom bunk bed.

100 POINTS PLEASE 1. Yared and Luke are wrapping presents. Yared is able to wrap presents at a constant rate of 3 presents every 15 min. Luke is able to wrap presents at a constant rate of 5 presents every 20 min. Each boy has 20 presents to wrap, and the boys started wrapping presents at the same time. (a) How many presents will Yared still need to finish wrapping when Luke has finished wrapping all 20 of his presents? Explain. (b) What percent of his presents will Yared still need to wrap when Luke has finished wrapping presents? Explain.

2. A researcher collected data about the favorite car color of a particular population. He asked 250 people about their favorite vehicle color and the survey revealed the following: 32% of people said blue, 24% of people said white, 20% of people said red, 18% of people said black, and 4% of people said silver.
(a) How many people said their favorite vehicle color was red? Explain.
(b) How many more people said their favorite vehicle color was blue compared to those who said white? Explain.
(c) How many people said their favorite vehicle color was either black or silver? Explain.




3. Haruto was the starting pitcher for his baseball team. In his last two games, the coach kept a close eye on the number of pitches, balls, and strikes he threw.
(a) In the first game recorded, the coach wrote 60%, or 54 pitches, were strikes. Find the total number of pitches Haruto threw in this game.
(b) In the second game recorded, the coach recorded 40%, or 34 pitches, were balls. Find the number of strikes and the total number of pitches he threw in this game.
Answer:

Answers

I did these questions before, I still remember my answers.

1. (a) Yared will still need to finish wrapping 4 presents when Luke finished wrapping all of his own presents.

 

Yared takes 15 minutes to wrap 3 presents, and Luke takes 20 minutes to wrap 5 presents.

 

I divided 15 by 3 to get 5, and did the same with Luke, and I got 4. Both boys have a total amount of 20 presents to wrap, so I multiplied 5 by 20, to get 100, and I multiplied 4 by 20, and got 80.

 

I subtracted 100 by 80, and got a 20.  Since I am finding information for Yared, I’m going to use 5, I divided 20 by 5, and got 4.

 

 

(b) Yared still needs to wrap 20% of his presents when Luke has finished wrapping presents.

 

Since the total amount of presents to wrap is 20, I divided that by the total amount of presents that Yared still needs to finish wrapping, which is 4. 4 divided by 20 is 0.2, and I multiplied 0.2 by 100, 100 is the whole, and I got 20.

 

2. (a) 50 people said their favorite color was red.

Since there is 250 people in total, I used the percentage of the color red, which is 20%, and multiply it by 250.  20 divided by 100 is 0.2, and I multiply 0.2 by 250, which got me 50. 


(b) 20 more people said their favorite vehicle color was blue compared to those who said white. I used the same formula as (a). The percentage of blue is 32%, so I divided 32% by 100, and I got 0.32. I multiplied the total amount of people, which is 250, by 0.32, and I got 80. The total amount of people who said they liked blue is 80.       The percentage of people who said they like white is 24%, so I divided 24% by 100, and I got 0.24. I multiplied that to 250, and got 60. The total amount of people who said they liked white is 60.   I subtracted 80 to 20, to get 20.  


(c) 45 people said their favorite vehicle color was black.   I divided 18 by 100, and got 0.18. I multiplied 0.18 by 250. I got 45.


3. (a) The total number of pitches Haruto threw in this game is 90 pitches.

 

(b) The number of strikes and the total number of pitches he threw in this game is 80 total pitches.

 
Hoped I helped! 











Answer:

so have I


1. (a)Yared will still need to finish wrapping 4 presents when Luke finished wrapping all of his own presents.

 


Yared takes 15 minutes to wrap 3

presents, and Luke takes 20 minutes to wrap 5 presents.


 


I divided 15 by 3 to get 5, and

did the same with Luke, and I got 4. Both boys have a total amount of 20

presents to wrap, so I multiplied 5 by

20, to get 100, and I multiplied 4 by 20, and got 80.


 


I subtracted 100 by 80, and got a

20.  Since I am finding information for

Yared, I’m going to use 5, I divided 20 by 5, and got 4.


 


 


(b) Yared still needs to wrap 20%

of his presents when Luke has finished wrapping presents.


 


Since the total amount of

presents to wrap is 20, I divided that by the total amount of presents that

Yared still needs to finish wrapping, which is 4. 4 divided by 20 is 0.2, and I

multiplied 0.2 by 100, 100 is the whole, and I got 20.


 


2. (a) 50 people said

their favorite color was red.


Since there is 250 people in total, I used the percentage of the color red, which is 20%, and multiply it by 250.  20 divided by 100 is 0.2, and I multiply 0.2 by 250, which got me 50.  



(b) 20 more people said their favorite vehicle color was blue compared to those who said white.I used the same formula as (a). The percentage of blue is 32%, so I divided 32% by 100, and I got 0.32. I multiplied the total amount of people, which is 250, by 0.32, and I got 80. The total amount of people who said they liked blue is 80.       The percentage of people who said they like white is 24%, so I divided 24% by 100, and I got 0.24. I multiplied that to 250, and got 60. The total amount of people who said they liked white is 60.   I subtracted 80 to 20, to get 20.  



(c) 45 people said their favorite vehicle color was black.   I divided 18 by 100, and got 0.18. I multiplied 0.18 by 250. I got 45.



3. (a) The total number of pitches Haruto threw in this game is 90 pitches.

 


(b) The number of strikes and the total

number of pitches he threw in this game is 80 total pitches.


 

Hoped I helped! 


Janica’s lucky number (36) is her birth month multiplied by her birth day. What are some possibilities for her birthday (month and day)? Write an equation that shows the relationship.

Answers

to create the equation you would need to come up with the variables first. first start off by saying her birth month will represent m and d will represent her birth day. the equation will then become 36m(d) now for some possibilities. to find a possibility you would need to do 36 * a month then you would multiply that by a day in that month. so let's start with 36 times 8 x 2 that will give you the answer of 576. if you keep plugging in numbers that will give you some possibilities.

circle O has a circumference of 132 feet. what is the approximate area of the circle?

Answers

Final answer:

You can use the given circumference of 132 feet to find the radius using the formula C=2πr. Once the radius is found to be approximately 21 feet, use the formula for the area of a circle, being A=πr², to calculate an area of approximately 1386 square feet.

Explanation:

To find the area of a circle when you know the circumference, you can use the formula for the circumference of a circle, which is C = 2πr (C is the circumference and r is the radius). From the circumference, we can find the radius.

Let's rearrange the formula for r: r = C / 2π .  Plugging in the given value, r = 132 / 2π approximately equals 21 feet.

Next, we use the area of a circle formula A = πr² and plug in the radius to calculate the area. Here, A = π * (21)^2 that gives us an area of approximately 1386 square feet.

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Which number is equivalent to 43/12?

Answers

B - 3.583, with 3 as a repeating decimal.

A fraction is a way to describe a part of a whole. The correct option is B.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

What is Mixed Fraction?

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,

2 1/2

= (2×2 + 1)/2

= 5/2

= 2.5

Given that the number that is equivalent to 43/12 can be found as shown below.

43/12

= 3 ⁷/₁₂

= 3 + 7/12

= 3 + 0.58333333

= 3.58333333

[tex]= 3.58\overline3[/tex]

Hence, the correct option is B.

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15 POINT QUESTION
Francine solves the system of equations using the linear combination method. 4x+3y=−1
3x−5y=4
Which steps would allow her to eliminate the x terms in the system of equations?
A) Multiply 4x+3y=−1 by 4. Multiply 3x−5y=4 by 3. Add the resulting equations together.
B) Multiply 4x+3y=−1 by −4 . Multiply 3x−5y=4 by 3. Add the resulting equations together.
C) Multiply 4x+3y=−1 by 3. Multiply 3x−5y=4 by −4. Add the resulting equations together.
D) Multiply 4x+3y=−1 by 5. Multiply 3x−5y=4 by 3. Add the resulting equations together.

Answers

D is correct , believe me

A window that is in the shape of a semicircle has a diameter of 28inches. find the area of the window. Round to the nearest tenth

Answers

20 is your answer if you are rounding to your nearest tenth

Final answer:

The area of the semicircle shaped window is approximately 307.7 square inches when rounded to the nearest tenth.

Explanation:

The student has asked to find the area of a window in the shape of a semicircle with a diameter of 28 inches. To calculate the area of a semicircle, we first find the radius of the full circle, which is half the diameter, and then apply the formula for the area of a circle, A = πr², before halving it since we want the area of a semicircle.

Find the radius (r) of the semicircle: r = diameter/2 = 28 inches / 2 = 14 inches.

Calculate the area of the full circle: A = πr² = π * (14 inches)².

Halve the area to get the semicircle's area: Semicircle area = A/2.

Using the value of π as 3.14 and rounding to the nearest tenth: Semicircle area ≈ (3.14 * [tex](14)^2[/tex])/2 = (3.14 * 196)/2 = 307.72 inches².

Hence, the area of the semicircle shaped window is approximately 307.7 square inches when rounded to the nearest tenth.

How does the volume of a cone change if its radius and height are both tripled? A. B. C. D.

Answers

The volume of the cone changes by a factor of 27

How does the volume of the cone change

From the question, we have the following parameters that can be used in our computation:

Volume of a cone

The volume of a cone is calculated using

[tex]V = \frac13\pi r^2h[/tex]

When the radius and height are both tripled, we have

R = 3r

H = 3h

So, the new volume is

[tex]V_2 = \frac13\pi R^2H[/tex]

Substitute the known values into the equation

[tex]V_2 = \frac13\pi (3r)^2 * 3h[/tex]

Evaluate

[tex]V_2 = \frac13\pi 9r^2 * 3h[/tex]

So, we have

[tex]V_2 = \frac13\pi r^2h * 27[/tex]

Recall that

[tex]V = \frac13\pi r^2h[/tex]

So, we have

[tex]V_2 = 27V[/tex]

This means that the volume of the cone changes by a factor of 27

Question

How does the volume of a cone change if its radius and height are both tripled? A. 3 B. 9 C. 27 D. 81

the perimeter of an equilateral triangle is 63 inches. if the length of each side is (4x-3), find the value of x

Answers

Use the equation 4x-3=63

Two numbers are in the ratio of 2 to 3 if the smaller number is 18 the lager number is ___ 21 27 36 54

Answers

Set it up like this
2/3 = 18/x
2x = 54 - Cross-multiply
x = 27

Shortest distance from the base of parallelogram to its opposite side is the

Answers

I believe the answer is height

if ABC and GEF are congruent by the ASA criterion, which pair of angles must be congruent

Answers

the second one is true

The pair of angles that must be congruent for the given pair of congruent triangles are ∠CAB and ∠GEF.

The ASA criterion states that two triangles are congruent if two angles and the included side of one triangle are equal to the two angles and the included side of the other triangle.

In the figure, we have:

∠ABC = ∠GEF (given)

∠ACB = ∠EGF (included angles)

AC = EG (included side)

Therefore, by the ASA criterion, triangles ABC and GEF are congruent.

The other possible pairs of congruent angles are:

∠ACB and ∠FEG

∠CAB and ∠EGF

∠ABC and ∠GFE

However, none of these pairs of angles are included angles.

Therefore, the only pair of congruent angles that must be congruent is ∠CAB and ∠GEF.

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The above question is incomplete, the complete question is:

if ABC and GEF are congruent by the ASA criterion, which pair of angles must be congruent

Attached figure.

a dinner plate has a diameter of 7 in approximately how many inches is a circumference of the plate

Answers

The circumference of the plate 21.98.
This is why because
3.14 x 7 = 21.98
So the circumference is 21.98

A dinner plate having a diameter of 7 in approximately is given.

The distance around a circle is called the circumference.It is the perimeter of the circle.

The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle.

Circumference is a special case of perimeter.

Circumference =[tex] \pi .d [/tex]

Given dinner plate has a diameter of 7 in.

Substituting d=7in we have:

Circumference = [tex] \pi (7)=3.14 (7)=21.98 in [/tex]


Please help me asap will give brainliest

Answers

the answer is 34 because 56 and x are complementary. 
90-56 = 34
This would help

Which of the following represents the most accurate estimation of 719 - 348?

Answers

A good estimation would be 720 - 350, which is 370. Hope it helps !:)

A bicyclist was traveling from the village to the railroad station with a speed of 15 mph and he was coming back to the village with a speed of 10 mph. Find the distance from the village to the railroad station, if it’s known that it took 1 more hour for the bicyclist to get back to the village.

Answers

Since, a bicyclist was traveling from the village to the railroad station with a speed of 15 mph and he was coming back to the village with a speed of 10 mph.

Let the time taken in traveling from village to the railroad station be 't' hours

Distance is calculated by the formula:

[tex] d= s \times t [/tex]

So, the distance traveled from village to the railroad station is:

[tex] d=15 \times t [/tex]

Since, the time taken in traveling from railroad station to the village is 1 hour more = 't+1' hours

So, the distance traveled from railroad station to the village is:

[tex] d=10 \times (t+1) [/tex]

Therefore, distance traveled from village to railroad station is equals to the distance traveled from railroad station to the village.

So, [tex] 15 \times t=10(t+1) [/tex]

[tex] 15t=10t+10 [/tex]

[tex] 5t=10 [/tex]

So, t=2

Therefore, distance from village to railroad station = [tex] 15 \times t [/tex]

= [tex] 15 \times 2 [/tex]

= 30 miles.

Therefore, the distance from village to railroad station is 30 miles.

The distance from the village to the railroad station is 30 miles

Speed is the ratio of distance to time taken. It is given by:

Speed = distance/time

Let d represent the distance from the village to the rail station.

When Going at a speed of 15mph, let us assume he spent a hour, hence:

15 = d/a

d = 15a

When coming at a speed of 10mph, let us assume he spent b hour, hence:

10 = d/b

d = 10b

Therefore:

15a = 10b

But it took 1 more hour for the bicyclist to get back to the village, hence b = a + 1, hence:

15a = 10(a + 1)

15a = 10a + 10

5a = 10

a = 2 hours

d = 15a = 15(2) = 30 miles

Therefore, the distance from the village to the railroad station is 30 miles

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