Scale factor word problem
Someone please help me!

Scale Factor Word ProblemSomeone Please Help Me!

Answers

Answer 1

1. Niles is making a map of his neighborhood. He uses a scale in which 1 cm = 5 km. The distance between his house and the school is 8.5 km.

How many centimeters will there be between his house and school on the map?

1 cm = 5km

8.5 ÷ 5 = 1.7

There will be 1.7 centimeters between his house and school.


Related Questions

a
The diameter of a semicircle is 6 yards. What
is the semicircle's perimeter?
d=6 yd
Use 3.14 for a.

Answers

Given -

the diameter of a semicircle is 6 yards.

ie. d = 6yd

ps - use 3.14 for a

To find -

the semicircle's perimeter

Solution -

As we know the formula to find the perimeter of the semicircle is 2r + πr.

But A.T.Q we are only provided with the diameter. As we know that the radius is half of the diameter. ie, r = d/2.

Hence, d = 6

r = 6/2

r = 3 yd

Perimeter of semicircle = 2r + πr

Perimeter of semicircle = 2(3) + 3.14(3)

Perimeter of semicircle = 15.42 yd

Hence forth the semicircle's perimeter is 15.42 yd

❦ Question -:

The diameter of a semicircle is 6 yards. Find the perimeter of the semicircle?

❦ Explanation -:

Given :

Diameter of the semicircle

Need to find :

Perimeter

Solution :

[tex] \small \blue {\underline {\underline{{ \orange{\rm{ First \: we \: need \: to \: calculate \: the \: radius \: of \: the \: semicircle }}}}}}[/tex]

We know,

[tex] \large \star \: \: \large \underline{\boxed{ \rm{ Radius = \dfrac{Diameter}{2}}}}[/tex]

[tex] \small\rm{ Radius = \dfrac{6}{2} = 3 \: yards}[/tex]

[tex] \small{ \underline{ \underline{\rm \red{ Now \: we \: will \: calculate \: the \: perimeter \: of \: the \: semicircle }}}}[/tex]

We know,

[tex] \large\star \: \: \large \underline{\boxed{ \rm{ Perimeter_{(semicircle)} = πr + 2r}}}[/tex]

Where,

r stand for radiusAssuming π as 3.14

Substituting the values we get

[tex] \small\bf{ Perimeter_{(semicircle)} = 3.14 × 3 + (2 × 3)}[/tex]

[tex] \small\rm{ Perimeter_{(semicircle)} = 9.42 \: + 6}[/tex]

[tex] \small\boxed{ \rm{ Perimeter_{(semicircle)} = 15.42 \: yards}}[/tex]

[tex] \rule{92mm}{3pt}[/tex]

50 points!! Instructions: Find the missing side. Round your answer to the nearest tenth.

Answers

Answer:

16.4 units to the nearest tenth.

Step-by-step explanation:

sin 66 = 15 / x

x *  sin 66 = 15

x = 15 / sin 66

= 16.4196

sin66=P/Hsin66=15/xx=15/sin66x=16.42

Done!

pls help me to answer this​

Answers

I'll do the first two questions of each activity to get you started. The remaining unanswered questions will follow similar steps compared to the other questions in the same activity group.

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

Activity 5, Problem 1

To find the mean, we first add up the values

4+8+2+8+5+9 = 36

Then we divide over n = 6 because there are 6 values in this data set.

36/n = 36/6 = 6

Answer: Mean = 6

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

Activity 5, Problem 2

Follow the same idea as the previous problem.

Add the values:  9+8+8+13+12 = 50

Divide by the number of values: 50/n = 50/5 = 10

Answer:  Mean = 10

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

Activity 6, Problem 1

The median is the middle-most number. Think of a median of a highway or freeway.

In order to find the median, we first need to sort the data values from smallest to largest.

The original set {7,3,9,9,2,5,8} sorts to {2, 3, 5, 7, 8, 9, 9}

If we erased the first and last items, we get this smaller subset

{3, 5, 7, 8, 9}

repeat again to get

{5,7,8}

At this point its clear the middle most value is 7

But if you wanted, you could cross the first and last values from the list to end up with {7}

Answer: Median = 7

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

Activity 6, Problem 2

We could do the same trick as the previous problem, but I'll use a slightly different route this time.

We'll need to sort {10,8,4,11,9} into {4, 8, 9, 10, 11}

There are n = 5 items in that set. The middle slot would be at slot n/2 = 5/2 = 2.5 = 3

The value 9 is in slot 3 of the sorted items.

Answer: Median = 9

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

Activity 7, Problem 1

The mode is the most frequent value of a set. It repeats the most often.

The set {5,6,7,3,5,4} sorts to {3,4,5,5,6,7}

The value "5" shows up the most. It shows up twice when everything else shows up exactly once only.

Answer: Mode = 5

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

Activity 7, Problem 2

Using the same idea in the previous problem, the set {7,4,11,9,7,3} has the mode 7 because it shows up the most of any other value.

Here's the sorted set: {3,4,7,7,9,11}

Sorting is optional with finding the mode in contrast to being mandatory when it comes to finding the median.

Answer: Mode = 7

passes through (-2, 1) and (2, -5)
I need to find the y=mx+b

Answers

Answer:

[tex]y = (-3/2)\, x + (-2)[/tex].

Step-by-step explanation:

If [tex](x_{0},\, y_{0})[/tex] is on the equation of the line [tex]y = m\, x + b[/tex], then substituting [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex] into the equation would still give an equality: [tex]y_{0} = m\, x_{0} + b[/tex].

In this question, since [tex](-2,\, 1)[/tex] is a point on the line [tex]y = m\, x + b[/tex], equality shall still hold after substituting in [tex]x = (-2)[/tex] and [tex]y = 1[/tex]:

[tex]1 = m\times (-2) + b[/tex].

Similarly, since [tex](2,\, -5)[/tex] is a point on this line, equality shall still hold after substituting in [tex]x = 2[/tex] and [tex]y = (-5)[/tex]:

[tex](-5) = m\times 2 + b[/tex].

The unknowns of both equations are [tex]m[/tex] and [tex]b[/tex].

Solve this system of two equations and two unknowns:

[tex]\left\lbrace\begin{aligned}& (-2)\, m + b = 1\\ & 2\, m + b = (-5)\end{aligned}\right.[/tex].

[tex]\left\lbrace\begin{aligned}& m = -\frac{3}{2} \\ & b = -2\end{aligned}\right.[/tex].

Therefore, the equation of this line would be:

[tex]y = (-3/2)\, x + (-2)[/tex].

is 3/2 x 2/5 is equal to 3/2?

Answers

Answer:

No.

Step-by-step explanation:

the result is 17 / 5, Which is not = 3 / 2

Answer:

3/2*2/5=3/5 (FALSE!)

Step-by-step explanation:

Solve this problem by multiplying the fraction from left to right.

3/2*2/5=3/5

Dividing is another option.

3/5=0.6

No, because 3/2 times 2/5 equals 3/5.

I hope this helps you! Let me know if my answer is wrong or not.

What is the correct answer for this?

Answers

Answer:

2.744 cubic milimeters

Step-by-step explanation:

Here,

Length ( l ) = 1.4 mm

Base ( b ) = 1.4 mm

Height ( h ) = 1.4 mm

l = b = h = 1.4 mm = a

To find : Volume

This shape is a cube.

Formula : -

Volume of cube = a³

Volume of cube

= 1.4³

= 1.4 x 1.4 x 1.4

= 2.744 cubic milimeters

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 1.4 \times 1.4 \times 1.4}[/tex]

[tex] \mathsf \purple{v = 2.744 {mm}^{3} }[/tex]

2.74 cubic millimeters

An aluminum bar 3 feet long weighs 12 pounds. What is the weight of a similar bar that is 3 feet 4 inches long?

Answers

Answer: 13 [tex]\frac{1}{3}[/tex] pounds

Step-by-step explanation:

     We will set up a proportion. I will have the weight, in pounds, on the top (numerator) and the length, in inches, on the bottom (denominator).

[tex]\frac{12}{36} =\frac{x}{40}[/tex]

     Cross-multiply:

36 * x = 12 * 40

36x = 480

     Divide both sides of the equation by 36:

x = 13 [tex]\frac{1}{3}[/tex] pounds

Answer:

Step-by-step explanation:

First find unit weight.

1 foot = 12 inches

3 ft = 3*12 = 36 inches

3ft 4 inches = 36 + 4 = 40inches

Weight of 36 inches  long bar =   12  pounds

Weight of 1 inch bar = 12/36

[tex]\text{Weight of 40 inches long bar = $\dfrac{12}{36}*40$}[/tex]

                                             = 13.3 pounds

                                                     

what is 698 352 nearest to 1000

Answers

Answer: 698352.000

698352 rounded to the nearest 1000 is 698352.000

Find the value of d that makes line m ll n

Answers

Answer:

x = 45.

Step-by-step explanation:

The angle between the shorter line and line n is 90 degrees, so

2x must be 90 degrees for m and n to be parallel.

x = 45.

HELP ME WITH THIS . IF correct will get an brainliest
HURRRY

Answers

X = 1

Explanation :

when you multiply negative 2 by negative six you get twelve. when you multiply positive one by negative six you get negative six.

Answer: X = 1

Step-by-step explanation:

give other brainliest

given that 2x^2 - 2y^2 = 40 and x-y=5, find the value of (x+y)

Answers

Answer:

x+y=4

Step-by-step explanation:

hello :

note :  by identity  you have   x²-y² = (x-y)(x+y)

in this exercice : 2x²-2y² = 2(x²-y²) = 2 (x-y)(x+y)

means :   2 (x-y)(x+y) = 40

but x-y = 5

so : 2(5)(x+y) =40

x+y=40/10

x+y=4

where can u buy a ruler that is 3 feet long

Answers

Answer:

A yard sale.

Step-by-step explanation:

lol

What is this question really about? Could you perhaps dive a little bit more into detail please? Ty

The price of a train ticket consists of an initial fee of $5dollar sign, 5 plus a fee of $2.75dollar sign, 2, point, 75 per stop. Julia has $21 dollar sign, 21 and would like to travel 50 kilometers. She wants to know the largest number of stops she can afford to buy on a ticket.

Answers

Answer:

17 stops on 1 ticket

Step-by-step explanation:

Answer:

17 stops on 1 ticket

Step-by-step explanation:

SOOO CLOSEE TO BEING DONEEEE helppppp

Answers

[tex]423 \times 10 {}^{2} [/tex]

[tex]2 \times 10 {}^{3} [/tex]

[tex]92 \times 10 {}^{5} [/tex]

[tex]4 \times 10 {}^{3} [/tex]

[tex]80 \times 10 {}^{6} = 8 \times 10 {}^{7} [/tex]

[tex]32 \times 10 {}^{9} [/tex]

Answer:

4.23*10^4

2*10^3

9.2*10^7

4*10^3

8*10^7

3.2*10^10

The roof of Sally’s house is a triangular prism. The angle at the top of this roof is a right angle and the measure of one of the interior angles is 45°. What is the measure of the unknown angle?

A. 45°
B. 55°
C. 35°
D. 25°

Answers

Answer: A

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees, so the unknown angle is 180-90-45=45 degrees.

Answer:

a

Step-by-step explanation:

Factorise x squared - 5x - 6

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

(x + 1)(x - 6)

Step-by-step explanation:

We can factor x^2 - 5x - 6 using grouping:

x^2 - 5x - 6x^2 - 6x + x - 6x (x - 6) + (x - 6)(x + 1)(x - 6)

Hope this helps!!

A population of bacteria is increasing by 10% cach hour. Find the percentage increase in the population every 3 hours.​

Answers

In 3 hours, it increases 33.1% .

The lengths of all sides are different in which type of triangle?.

Answers

Answer: Scalene Triangle

Step-by-step explanation:

Answer:

Scalene Triangle

Step-by-step explanation:

Scalene Triangle: All sides are different


Isosceles Triangle: 2 sides are the same

Equilateral Triangle: All sides are the same.

Jess makes and sells cube-shaped jewelry boxes. She designs the jewelry boxes in different sizes and with different patterns. Jess wants to include the volume of each box on her price list.

s = length (in.) of one side of the jewelry box

Options:
s

6s

s^2

s^3

(It’s middle school I-Ready)

Answers

Answer:

Step-by-step explanation:

s to the 3rd power so S3
I hope this works

Answer:Part two is (s+2)3

Step-by-step explanation:

I got it right I hope it helps

PLS help im going insane

Answers

Answer:

B) 240

Step-by-step explanation:

If you want an explanation, just ask.

Hope this helps! Pls give brainliest!

The MOST precise measurements this ruler can give are to the nearest A) inch. B) half inch. C) eighth inch. D) quarter inch.

Answers

I am pretty sure it’s an inch or A but if i’m wrong sorry

5. The dot plot shows a random sample
of the number of migrating geese
flocks observed by 25 participants
during a two-day hike.
Day 1
Day 2
IN
+ +
+ + + + +
2 3 4 5 6 7 2 3 4 5 6 7
Number of Flocks Observed Number of Flocks Observed
Use the mean value of each data set to
make an inference about the number
of flocks observed each day.

Answers

Using the dot plot, the inference is that the number of flocks observed on the second day was less than in the first.

What does a dot plot show?

The dot plot shows the number of times each measure appears in the data-set.

Hence, the mean of the data-set corresponding to day 1 is given by:

M1 = (4 x 4 + 7 x 5 + 7 x 6 + 7 x 7)/25 = 5.68

And the mean of the data-set corresponding to day 2 is given by:

M2 = (2 x 8 + 3 x 7 + 4 x 6 + 5 x 4)/25 = 3.24.

M1 > M2, hence, the inference is that the number of flocks observed on the second day was less than in the first.

More can be learned about dot plots at https://brainly.com/question/24912483

solve this please QUICKLY and explain

Answers

Directly solving the linear equations, we will see that:

a) x = -4b) x = 6c) x = 4/3d) x = 2.

How to solve linear equations?

Let's start with the first one:

3 - x = 11 + x

First, move all the terms with x to the left side and the ones without to the right side:

-x -x = 11 - 3

-2x = 8

Now we divide both sides by -2

x = 8/-2 = -4

x = -4

2) 2x + 7 = 3x + 1

Same procedure:

2x - 3x = 1 - 7

-x = -6

x = -6/-1 = 6

x = 6

3) 8 - 2x = 4 + x

-2x - x = 4 - 8

-3x = -4

x = -4/-3 = 4/3

4) 4x + 2 = 2x + 6

4x - 2x = 6 - 2

2x = 4

x = 4/2 = 2

x = 2

So we solved all linear equations.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

What is the equation of the line that passes through the point (-1,-9)and has an undefined slope

Answers

Answer:

x = -1

Step-by-step explanation:

"An undefined slope" indicates that the line in question is a vertical one.  The coordinate x = -1 tells us that the equation of the line is just that:  x = -1.

OMG I NEED HELP LIKE RIGHT NOW

Answers

Answer:

x coordinate is +3 and y coordinate is +1

Step-by-step explanation:

just count three squares right and one square down from D

The half-life of a particular radioactive substance is 10 seconds. If you started with 100 grams of this substance, how much of it would remain after 60 seconds?

Answers

Answer:
100(1-0.50)^6
remaining amount is:

1.56

There are 1.5625 grams of the radioactive substance that would remain after 60 seconds.

What is an exponent?

The exponent of a number represents the total time required to multiply that number. 8 8 8 may be stated as 83 since 8 is multiplied by itself three times. In this case, 3 is the 'exponent' or 'power' that indicates how many times 8 is multiplied by itself, and 8 is the 'base' that represents the integer being multiplied.

The exponent is given as:

y = a (1 - r)ˣ

As per the question, we have

a = 100, and r = 0.50 and x = 6

Substitute the known values in the above formula, and we get

y = 100 × (1-0.50)⁶

y = 100 × (0.50)⁶

y = 100 × 0.015625

Apply the multiplication operation, a

y = 1.5625

So, after 60 seconds, 1.5625 grams of the radioactive substance would remain.

Learn more about the exponent here:

brainly.com/question/5497425

#SPJ2

A car goes 54 miles on 3 gallons of gas.

How many miles does the car go on 8 gallons of gas?

Answers

3 gallons => 54 miles

so

1 gallon => 54 : 3 = 18 miles

then

8 gallons => 18x 8= 144 miles

4) Luther works at One Stop Smoothie Shop. At work today, he made 20 Berry Blast
smoothies. In each Berry Blast smoothie, there are 3 strawberries and b blueberries. Write
two expressions that represent the total number of berries in the Berry Blast smoothies that
Luther made today.

Answers

The expressions that represent the total number of berries in the Berry Blast smoothies that Luther made today is 3 + b = 20

How to write system of equations

Let the number of strawberries be x

Let the number of b berries be y

If at work today, he made 20 Berry Blast smoothies, then;

x + y = 20

SInce x = 3 and y = b, then;

3 + b = 20

The expressions that represent the total number of berries in the Berry Blast smoothies that Luther made today is 3 + b = 20

Learn more on system of equation here: https://brainly.com/question/847634

Can someone help me with this please? :)))​

Answers

Answer:

88

Step-by-step explanation:

86 is 98% of 87.755102040816 which rounded to the nearest whole number is 88.

A machine that assembels a car is an example of a

Answers

Answer:

Mechanical

Step-by-step explanation:

Those ttype of machines build epic cars

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