A scale model of a bicycle has a scale of 1 : 10. The real bicycle has a length of 1.6 m. What is the length of the model in cm?

Answers

Answer 1

Answer:

16 cm

Step-by-step explanation:

1.6 m = 160 cm

Model length = 160 / 10 = 16 cm

Answer 2

Answer:

160 cm

Step-by-step explanation:

1 : 10

1.6 : x

Cross multiply.

1 × x = 10 × 1.6

x = 160


Related Questions

the range of y=x^3 is all real numbers, y>0, or y>_0

Answers

Answer:

All real numbers

Step-by-step explanation:

When you graph f(x) = x³,  you should be able to see that within the range of y-values, you get infinite outputs because the domain has infinite inputs.

John can cut the yard on a riding lawn mower in 2 hours. Sandy can cut the yard with a push mower in 5 hours. How long would it take to cut the yard if John and Sandy work together? (Express in hours and minutes)

Answers

Answer:

2x/5x= 7

Step-by-step explanation:

what is productivity?
a. quantity of input per unit of output
b. quantity of output per unit of input
c. quality of output per unit of input
d. quality of input per unit of output

Answers

Answer:

This is the quantity of output per unit of input.

Step-by-step explanation:

I'm very sure.

divide $1600 in the ratio of 3:7:10​

Answers

Answer:

240, 360, 800

Step-by-step explanation:

We can call the numbers 3x, 7x, and 10x and then we can write:

3x + 7x + 10x = 1600

20x = 1600

x = 80 so the numbers are 3 * 80 = 240, 7 * 80 = 560 and 10 * 80 = 800.

5x4 – 7x3 – 5x2 + 5x + 1 = 0

Answers

20 - 21 - 10 + 5x +1= 0
5x = 10
x = 2

2 rectangles have the same area. rectangle A is 6cm by 4cm, B is 3cm by Xcm. what is the value of X?

Answers

Answer:

x=8

Step-by-step explanation:

If the two rectangles have the same area, then you have to first find the area to solve the problem. To find the area, do 6(Length)x4(Width)=24. So now that we know that the area is 24, now all you have to do is divide 24 by 3 to find the missing dimension. 24÷3=8. Therefore, x=8.

What is the sum of 1.57 and 6.88?

Answers

Answer:

8.45

Step-by-step explanation:

You add the ones place together:

1 + 6 = 7

You add the tenths place together:

0.5 + 0.8 = 1.3

You add the hundredths place together:

0.07 + 0.08 = 0.15

Then you combine them all together to get 8.45

Giselle has $40 to spend on parking this month. Parking costs her $2.50 each day. After Giselle parks for 9 days, which statement is true? 1.Giselle has spent less than 12 of her parking money. 2.Giselle has spent 12 of her parking money. 3.Giselle has spent more than 12 of her parking money. 4.Giselle has spent almost all of her parking money.

Answers

Answer:

Giselle has spent more than 1/2 of her parking money.

Step-by-step explanation:

I think it’s like Half her money

Simplify.
Rewrite the expression in the form b^n

(b^3)^2

Answers

Answer: b⁶

Step-by-step explanation:

The for bⁿ can be optained by multiplying 3 and 2. If there is an exponent on the outside of the parenthesis, you multiply it with the exponent on the inside.

(b³)²=b³ˣ²=b⁶

Elle, Jonah and Mandy shared some game cards in the ratio 2:3:7. Each of
them would have received 152 game cards each if the game cards were
distributed equally. How many more game cards did Mandy receive than Elle? Please do a step by step explanation.​

Answers

Answer:

190 cards

Step-by-step explanation:

Elle, Jonah and Mandy shared the game cards in the ratio 2 : 3 : 7. The total ratio is:

2 + 3 + 7 = 12

If they were shared equally, they would each receive 152 cards, this means that the total number of cards they received is:

152 * 3 = 456 cards

Elle's share is therefore:

2 / 12 * 456 = 76 cards

Mandy's share is:

7 / 12 * 456 = 266 cards

Therefore, the number of cards that Many received more than Elle is:

266 - 76 = 190 cards

NEED MATH HELP NOW. Please solve for the x-intercept. Please show work.

Answers

Answer:

x = 1 and x = 3.

Step-by-step explanation:

y = 2[tex]x^{2}[/tex] - 8x + 6

y = 2([tex]x^{2}[/tex] - 4x + 3)

y = 2(x - 3)(x - 1)

So, the x-intercepts would be at...

x-3 = 0

x = 3

and

x - 1 = 0

x = 1

Hope this helps!

For a proof by induction of the math statement below, identify the correct step for proving the theorem is true for n = k + 1. HELP ASAP THANKS!!

Answers

Answer: Choice A

What we do is simply replace every n with k+1. So (3n)^2 turns into (3(k+1))^2

We see that only choice A has the correct term mentioned on the left hand side, so this must be the answer.

The right hand side is treated the same way. We plug in n = k+1. Your teacher did a bit of algebraic manipulation to get what is shown for choice A.

Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from the line at points F and E to form an isosceles triangle with point D. Angle DEF measures 75°. What is the measure of angle CFD? 105° 125° 150° 165°

Answers

Answer:

105 degrees

Step-by-step explanation:

Angle DEF measures 75°.Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE.

the angles all together is 180 degrees

so 180 - 75 = 105 degrees

The measure of angle CFD is 105 degrees.

What is the angle sum property?

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Angle DEF = 75°.

Triangle DEF is isosceles, so Angle DEF Is-congruent-to Angle DFE.

Angle DFE + Angle CFD = 180  (angle on a straight line)

so 180 - 75 = 105 degrees

Thus, Angle CFD = 105 degree

Learn more about the triangles;

https://brainly.com/question/2773823

#SPJ2

Find the total surface area of this cylinder. Give your answer to one decimal place first correct answer will get brainliest and 5 stars!!!

Answers

Answer:

The surface area formula is 2πr (h + r) where r and h are the radius and height respectively. Since π = 3.14, r = 7, h = 15 the answer is:

2 * 3.14 * 7 * (15 + 7) = 43.96 * 22 = 967.6

Solve for x. 2000=500e^4x

Answers

Answer:

A. x = (ln(4))/4

Step-by-step explanation:

2000 = 500e⁴ˣ

(2000)/500 = (500e⁴ˣ)/500

4 = e⁴ˣ

ln(4) = ln(e⁴ˣ)

ln(4) = 4x

(ln(4))/4 = (4x)/4

(ln(4))/4 = x

x = (ln(4))/4

Answer:

A. x = ln(4)/4

Step-by-step explanation:

Tommy wants to make ice cream for his birthday party. He has 6 cups of cream. Each batch
of ice cream takes 3/4 cups of cream. How many batches can he make? *

Answers

Answer:

8 batches

Step-by-step explanation:

Take the total amount of cream and divide by the amount of cream per batch

6 ÷ 3/4

Copy dot flip

6 * 4/3

6/3 *4

2*4

8 batches

4x-8/x^2+3x-10 = 4(x-2)/x^2+3x-10 factor the quadratic expression in the denominator of the expression.

Answers

Answer:

(x + 5)(x - 2)

Step-by-step explanation:

Given

x² + 3x - 10 ← expression on the denominator

Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (+ 3)

The factors are + 5 and - 2, since

5 × - 2 = - 10 and 5 - 2 = + 3, thus

x² + 3x - 10 = (x + 5)(x - 2)

Someone please help!!

Answers

Answer:

A) V + 6 B = 372

B) 4V + 12B = 780

We'll divide B) by -4

B) -V -3B = -195 Then we add A)

A) V + 6 B = 372 which equals

3B = 177

1 Bus carries 59 Students

For the Van let's use equation A)

V + 6 * 59 = 372

Van = 372 -354

Each Van Carries 18 Students

Step-by-step explanation:

Help.me!!!!!!!!!!!!!!!!!

Answers

Answer:

∠U = 40°

Step-by-step explanation:

in order to find the missing angle of U we need to know the two other angles.

We know that ∠T is 65° and we know that ∠TSF is 105°. Because ∠TSF is an exterior angle, we can subtract 180 to get the interior angle. This would mean that ∠S is 75°.

Using this we can add 65 to 75 then subtract the total from 180 to get ∠U.

This would mean that ∠U is 40°

The company calculates that 500 g of titanium dioxide should produce 1.2 kg of titanium chloride. However, the company finds that 500 g of titanium dioxide only produces 900 g of titanium chloride. Calculate the percentage yield.

Answers

Answer:

75%

Step-by-step explanation:

Percent yield = experimental yield / theoretical yield * 100

= 900 / 1200 * 100   (remember that 1,000 g = 1 kg)

= 75

Need help with #11 please

Answers

Answer: The graph is a linear graph or linear function in the form y= mx + b where m is the slope and b is the y-intercept. You could plot the points (0,5) (1,4) (2,3) (4,1)  and draw a straight line through them.

Step-by-step explanation:

The equation  y= 5-x  can be rewrite as  y = -1x + 5  and it can be identify as a linear equation in slope intercept form. Now you could plot in any value  of x and solve for y.

x        y         (x,y)

0       5          (0,5)   If you put in 0 for x y will be 5

1       4            (1,4)    if you put in 1 for x,  y will be 4

2      3            (2,3)  if you put in 2 for x, y will be 3

4       1             (4,1)   if you put in 4 for x, y will be  1

5       0             (5,0)  if you put in 5 for x y will be 0.

The amount of money in Joe’s savings account is increased by 8% each year. Given that he has £500 in 2016. Work out how much Joe will have in 2021.

Answers

Answer:

£700

Step-by-step explanation:

First we find the interest on this money.

Interest = Principal * Rate * Time

             =[tex]\frac{500 * 8 * 5}{100}[/tex]

            =5 * 8 * 5

            =£200

Interest = £200

Now you add his actual money to the interest you just found to give you the total amount.

Amount = £500 + £200

             = £700

In 9 minutes, Ivanna can type 36 words. What is her rate in words per minute?

Answers

Answer:

4

Step-by-step explanation:

9 divided by 36

Answer:

4 words/minute

Step-by-step explanation:

Since we need words per minute, we divide the number of words by the number of minutes.

words/minute = (36 words)/(9 minutes) = 4 words/minute

help can you also show how you do it too

Answers

Answer:

m the slope of function=-3

Step-by-step explanation:

to find the slope take two points from the graph:

(0,4), (1,1)

m= y2-y1/x2-x1

m=1-4/1-0

m=-3/1=-3

the equation : y=mx+b find b

when x=0, y=b=4

y=-3x+4

Sum of four consecutive multiplies of 7 is 70.Find these multiplies.

please

Answers

Answer: 7, 14, 21, 28

Step-by-step explanation:

Let first multiple = x

So, second multiple = x + 7

Third = x + 14

Fourth = x + 21

According to the question,

=>x + (x + 7)+ (x + 14) + (x + 21) = 70

=>4x + 42 = 70

=>4x = 28

=>x = 7

So, the multiples are 7(x), 14(x+7), 21(x+14), 28(x+21)

Keith is the leading goal scorer for a team in an ice hockey league . Last season , he scored 42 goals in 82 games . Assuming he scores goals at at a constant rate , what is the slope of the line that represents this relashonships if the number of games is is along the x-axis and the number of goals is along the y-axis

Answers

Answer: The slope is 21/41.

Step-by-step explanation:

IF the goals he scores is at a constant rate the we know if you would have to graph it, it will go through the origin.

To find the slope of a constant relationship,you will divide the y value by the x value.Now it indicates to us that x is the number of games while y is the number of goals.

so 42/82 which reduces to 21/41  has to be the slope .

Answer:

it’s 21/41 or A (I got a 100% on the test)

pls help me!!! I WILL GIVE BRAINLIEST!!!!!! probability question

Answers

Answer:

B

Step-by-step explanation:

0 to 9 has 10 numbers, and 7 numbers are 0, 1, 2, 3, 4, 5, 6, so the ans is B.

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Hope this helps you...

ABCD is a rectangle.
Use the diagram to answer the questions.
The length of AB is __
The length of BC is __
The length of AC is __

Answers

AB = 12
BC = 5
AC = 3

To find AC, we can use the pythagoras theorem, square root of 12 power of 2 + 5 power of 2 and we can get 12. Hope this help!

Answer:

12

5

13

Step-by-step explanation:

4. Use a tree diagram to display the possible outcomes when a coin is tossed three times
and use it to find the probability of tossing exactly 2 tails.

Answers

Answer:

i.  {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

ii. The probability of tossing exactly 2 tails is [tex]\frac{3}{8}[/tex] (or 0.375)

Step-by-step explanation:

when a coin is tossed, the outcomes can either be a head or a tail. The tree diagram attached to this answer shows the display of the possible outcomes when a coin is tossed three times.

The possible outcomes when a coin is tossed three times are:

                   {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

where; H represents the head and T represents the tail.

Pr(tossing exactly 2 tails) = [tex]\frac{number of outcome of 2 tails}{total number of outcome}[/tex]

                                          = [tex]\frac{3}{8}[/tex]

                                          = 0.375

The probability of tossing exactly 2 tails is [tex]\frac{3}{8}[/tex] (or 0.375).

A bag of fruit in the supermarket contains 4 oranges and 9 apples.You buy enough bags to get 32 oranges.How many apples will you get?

Answers

Answer:

37 apples

Step-by-step explanation:

just add 5 to 32

Answer:

72

Step-by-step explanation:

Oranges:Apples

4:9

4*8:9*8

32 oranges:72 apples

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