a biker can ride a bicycle 18 miles in 3 hours. the messenger estimates that it will take 7 hours to bike 22 miles. here is the messengers work:


step 1: 22-18=4


step 2: 3+4=7


what mistake did the messenger make?


• the messenger did not make a mistake. the estimate is correct


• the 3 and 4 should have been multiplied instead of added.


• the messenger used addition and Subtraction instead of multiplication and division


• the 22 and 18 should have been divided instead of subtracted


• the 22 and 18 should have been averaged instead of subtracted

Answers

Answer 1

Answer:

The messenger should use addition and Subtraction instead of multiplication and division

Step-by-step explanation:

It is given that,

A biker can ride a bicycle 18 miles in 3 hours. the messenger estimates that it will take 7 hours to bike 22 miles.

He has done two steps :

step 1: 22-18=4

step 2: 3+4=7

The steps done by the biker are wrong. The correct step should be :

In 1 hour, he should cover (18/3) miles i.e. 6 miles

In 7 hours, he will cover (6×7) miles i.e. 42 miles

It means he should use addition and Subtraction instead of multiplication and division. Hence, the correct option is (c).


Related Questions

What percent of 40 is 20?

Answers

Answer:

8

Step-by-step explanation:

When doing these types of problems, we convert the percent to a decimal. In this case,

40%=0.4

0.4*20=8

Answer:

200%

Step-by-step explanation:

20 = 100%       (in this case)

40 = 200%        (because you multiply both sides to get 40)

Therefore, 40 is 200% of 20.

2/5+6/10
What is the answer

Answers

We have to make sure the denominators are equal.

10 goes into 5 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 2, and get 4, then we multiply 5 by 2 and get 10

Now the equation is 4/10 + 6/10

Since our denominators match, we can add the numerators.

4 + 6 = 10

That gives us the sum, which is 10/10 aka 1 whole

your welcome :) (btw can u please give brainly?)

Answer:

2/5 + 6/10 = 1

Step-by-step explanation:

first let’s change 2/5 so it has the same denominator as 6/10.

2/5 * 2/2 = 4/10

now add

4/10 + 6/10 = 1

Find the total surface area of this square based
pyramid.
10ft
10 ft
[? ]ft?

Answers

Answer:

300 [tex]ft^{2}[/tex]

Step-by-step explanation:

area of triangle= [tex]\frac{b*h}{2}[/tex]

[tex]\frac{10*10}{2}[/tex] = 50

4 sides of the triangle

4*50=200

area of square= l*w

10*10=100

area of square+area of triangles

200+100=300

_[tex]ft^{2}[/tex]=300[tex]ft^{2}[/tex]

Answer: 300

Step-by-step explanation:

5≤3y+8<17 solve and graph

Answers

The answer to your question is -1 < y < 3
-

Please help me out!! :c
Nerissa paid a total of $8 for 4 packs of pencils she purchased from the convenience store. Let p represent the cost of one pack of pencils.

Which equation shows an equality between two different ways of expressing the cost for all the pencils?
A. 8 = 4p
B. 8 = 4/p
C. 8 = 4 + p
D. 8 = 4 – p

Answers

Answer:  8 = 4p   (choice A)

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

Explanation:

p is a placeholder for a number. Think of it like a box where a number goes inside.

In this case, p is the price of one pack of pencils.

We can use a proportion to help set up an equation

(4 packs)/(8 dollars) = (1 pack)/(p dollars)

4p = 8*1 ... cross multiply

4p = 8

8 = 4p  which points to choice A as the answer.

---------------------------

Alternative method:

4 packs = 8 dollars

1 pack = p dollars

Multiply both sides of the second equation by 4 and you'll get

4 packs = 4p dollars

Then replace the "4 packs" on the left hand side with "8 dollars"

8 dollars = 4p dollars

that turns into

8 = 4p

--------------------------

Yet another method:

We know it's $8 for 4 packs. This must mean it is 8/4 = 2 dollars per pack.

If p is the cost of one pack, then p = 2.

Now plug p = 2 into each of the four answer choices. You should find that only 8 = 4p results in a true equation.

Choice B is false because 8 = 4/p turns into 8 = 4/2 and that becomes 8 = 2, which is a false equation. Choices C and D are similar stories.

Answer:

The answer is A

Step-by-step explanation:

Solve for X
-18x + 21 > - 15 OR 20x - 13 greater than or equal to 27
answers:
-x< -2 or x greater than or equal to 2
-x = -2
-x greater than or equal to 2
-There are no solutions
-All values of x are solutions

Answers

C, x is greater than or equal to 2

Step-by-step explanation:

Both equations have X equaling to 2

what are the six regions of the united states

Answers

Answer:

New England.

Mid-Atlantic.

The South.

Mid-West.

The Southwest.

The West.

Step-by-step explanation:

a line through the point (5,-2) and parallel to the line 4x+6y=10

Answers

Answer: y = mx + b

4x - 6y = 10

-6y = -4x + 10

y = (-4/-6)x + 10/-6

y = (2/3)x - 5/3

m = 2/3

b = -5/3

Step-by-step explanation:

What is the cost of each item? What is the subtotal? What is the tax? What is the total paid? Shoes: $49.99 (normally) they are on sale for 25% off Jacket: $137.99 (normally) it is on sale for 33% off Pack of Cookies: $4.49 7.3% Sales Tax What is the cost of each item? What is the subtotal? What is the tax? What is the total paid?

Answers

Answer:

Cost of shoes = $37.4925

Cost of jacket = $92.4533

Tax = $9.81

Total paid = $144.2458

Step-by-step explanation:

Normal price of shoes = $49.99

Discount = 25%

Discounted price:

[tex]\$49.99 - \$49.99\times \dfrac{25}{100} = \$37.4925[/tex]

Normal price of jacket = $137.99

Discount = 33%

Discounted price:

[tex]\$137.99 - \$137.99\times \dfrac{33}{100} = \$92.4533[/tex]

Price of pack of cookies = $4.49

No discount on cookies as per question statement.

Total amount without tax = $37.4925 + $92.4533 + $4.49 = $134.4358

Sales Tax = 7.3% of total amount without tax = 7.3% [tex]\times[/tex] $134.4358 = $9.81

Total paid = $134.4358 + $9.81 = $144.2458

Jack bought 5 pairs of socks for $12.50. At this rate, how much would 12 pairs of socks cost?

Answers

I got $30 for my answer I think it’s correct

Answer: $30

Step-by-step explanation:

5 pairs of socks cost 12.50 you divide 12.50 by 5 and you how much each pair of socks cost which is 2.5 which is 2.50 each pair of socks is 2.50 so now you multiply 2.50 by 12 and you get $30

While Justin is in training he has to drink 500 ml of water per day. How many liters will that be for one week?

Answers

Answer:

3.5 Liters

Step-by-step explanation:

Since 500 ml is equal to 0.5 liters and there are 7 days in a single week you just need to multiple the number of liters (0.5) by the 7 days to get a total of 3.5 liters

Quinton bought n number of shares for d dollars and paid a 1% commission. He sold the stock for y dollars and paid a flat fee of

$7. Which expression below models Quinton's net proceeds algebraically?

oyn(1.01d - 7).

(1.01nd + 7) - Y

y - 1.01(nd - 7)

y (1.01nd + 7)

Answers

Answer:

y - (1.01nd + 7)

Step-by-step explanation:

Quinton bought n number of shares for d dollars and paid a 1% commission. It means he bought [tex]\dfrac{1}{100}nd=0.01nd[/tex]

He sold the stock for y dollars and paid a flat fee of  $7. It means he sold y-7.

We need to find Quinton's net proceeds algebraically. It will be given as :

[tex]y-7-0.01nd\\\\=y-(0.01nd+7)[/tex]

Hence, the correct option is (d) i.e. y - (1.01nd + 7)

Please help!!
Find x and CB

Answers

Answer:

x is -9

CB is 10

Step-by-step explanation:

In order to solve this question we need to figure out what x is first

First we do

2(x+19)=x+29

Then we get 2x+28=x+29

subtract and divide to get

x=-9

Plug in the x to get CB

-9+19=10

The graph represents this system of equations. A system of equations. y equals 4. y equals 3 minus StartFraction on-half EndFraction x. A coordinate grid with 2 lines. The first line passes through (negative 2, 4) and (0, 3). The second line passes through (negative 2, 4) and (0, 4). What is the solution to the system of equations?

Answers

Answer:

A coordinate grid with 2 lines. The first line passes through (negative 4, negative 3), (0, negative 3), and (4, negative 3). The second line passes through (0, negative 5) and (2, 4). The lines appear to intersect at about one-half, negative 3.

Solve the system of equations algebraically. Verify your answer using the graph.

y = 4x – 5

y = –3

What is the solution to the system of equations?

((StartFraction one-fourth EndFraction, negative 3), –3)

((StartFraction one-half EndFraction, negative 3), –3)

(–3, (negative 3, StartFraction 2 over 3 EndFraction))

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

i just did it

3) Monica is listening to Spotify. She noticed that during one hour, 15 songs were played and 3 of them were country. What is the ratio of country songs to the number of songs played? *
A:5/1
B:1/15
C:1/3
D:1/5​

Answers

Answer:

D. 1/5

Step-by-step explanation:

The ratio would be 3/15 and when it's reduced it is 1/5

I hope this helps

At the local dairy farm, Kareem buys a 32-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional?

Answers

Answer:

The formula should be y=0.015x

Step-by-step explanation:

Each oz of yogurt costs $0.015.

Not sure if this helps, but i hope it does :)

What is the equation of the line that goes through (-3,-1) and (3,3)

Answers

Answer:

3

Step-by-step explanation:

The radius of the cone is 7 in and y = 25 in. What is the volume of the cone in terms of π? A cone with a right triangle formed from its dimensions; the value of the height is h, and the value of the slant height is y; the height x and the radius form a right angle at the center of the cone.

Answers

Answer:

142.1π in³

Step-by-step explanation:

Given that:

The radius (r) =  7 in

The slant height (y) = 25 in

Then the height (x) can be determined by using the Pythagoras rule:

y² = x² + r²

25² = x² + 7²

125 = x² + 49

125 - 49 = x²

x² = 76

x = √76

x = 8.7

The formula for the volume of a cone is;

= 1/3 πr²h

where;

height(h) is calculated as "x" from above = 8.7

Then;

= 1/3 × π × (7 in)² × 8.7 in

= 142.1π in³

Answer:

its A. 392

Step-by-step explanation:

took the test. hope this helps

A shop sells chocolate, vanilla, and strawberry ice cream cones. If 45% of the ice cream sold is chocolate and 17% is strawberry, what percent that is sold is vanilla?

Answers

Answer:

38 %

Step-by-step explanation:

45 + 17 is 62. Soif you add 38% + 62% you'll get 100% !

Hope this helps! ^O^

What are two coordinates on this graph?

Answers

Answer:

(0,5) and (6,0)

Step-by-step explanation:

A pentagon has angle measures of 100, 105, 110, and 115. Find the fifth angle measure.

Answers

Answer:

110

Step-by-step explanation:

The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:


x g(x)
0 $600
3 $720
6 $840
Part D: What is the balance in the bank account after 7 days? (2 points)

Answers

Answer:

880

Step-by-step explanation: Every three days the balance increases by 120 so you would divide 120 by 3 to get 40. This would mean that the balance increases by 40 everyday so after seven days the balance would be 880

Find the area of this sector.
19cm length on side 118degree angle in centre

Answers

Answer:

87.68 cm²

Step-by-step explanation:

Arc length:

118*2πr/360 = 19 cm118*3.14r/180 = 19r = 19*180/118*3.14r = 9.23 cm

Area of sector:

A = πr²*118/360 A = 3.14*9.23²*118/360A = 87.68 cm²

Sam ran 3 1/2 miles in 25 minutes. If he continues running at this pace how far will he run in 1 hour

Answers

Answer: 8.4 or 8 2/5

Step-by-step explanation:

3 1/2 for 25 minutes and 0.14 miles per minute so 0.14 * 60 since there are 60 minutews in a hour and you get ur answer.

he will run 8.4 miles in an hour. 3.5/25=x/60
3.5*60=210
210/25=8.4

Use the distributive property to remove the parentheses.
(w+11)8

Answers

Answer:

Done!

Step-by-step explanation:

8(w + 11)

8w + 88

9514 1404 393

Answer:

  8w +88

Step-by-step explanation:

Each of the terms inside parentheses multiplies the factor outside:

  (w + 11)8 = w·8 +11·8 = 8w +88

What is the simplified value of the expression below?

Negative 2.6 + 5.8

Answers

Answer:

3.2

Step-by-step explanation:

Which function is increasing and has a constant slope?
O A.
B.
y = 10(0.2)
4x + 3y = 14
6.1 5y 10
C.
OD.
y
www
2+ + 1

Answers

B.
Y=10(0.2)
4x+3y=14
6.1 5y 10

Find the slope and a point on the line. y-9=-1/3(x-4)

Answers

Answer:

slope- -1/3

a point: (0, [tex]\frac{31}{3}[/tex])

Step-by-step explanation:

y-9= -1/3(x-4)

y-9= -1/3x+4/3

y= -1/3x+31/3

to find a point:

y= -1/3(0)+31/3

y=31/3

(this happens when x= 0, so the point is (0,31/3)

Answer:

m=-1/3

Point: (4,9)

Step-by-step explanation:

i just took the question and got it right on ed2020

please help im struggling​

Answers

Answer:

a = 6

b = 3

c = 2

Step-by-step explanation:

Since n(P) = a+b = 9

and n(Q) = b+c = 5

and b is given to be 3

a and b follow easily.

a is 9-b = 9-3 = 6

c is 5-b = 5-3 = 2

please helppppppp :(((

Answers

Answer:

y = 1/2x - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Find points from the graph.

x-intercept (2, 0)

y-intercept (0, -1)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-1-0}{0-2}[/tex]Subtract:                       [tex]m=\frac{-1}{-2}[/tex]Simplify:                        [tex]m=\frac{1}{2}[/tex]

Step 3: Write linear equation

y = 1/2x - 1

Answer:

its y = 1/2 x - 1

Step-by-step explanation:

why did math tutor delete my question?!?!??!

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