An engineer designed a new bridge and drew the scale drawing shown below. 6 Inches If the engineer used the scale 3 inch = 40 feet, how long is the actual bridge the engineer designed?​

An Engineer Designed A New Bridge And Drew The Scale Drawing Shown Below. 6 Inches If The Engineer Used

Answers

Answer 1

Answer:

The bridge is 80 feet long

Step-by-step explanation:

We will use the ratio method to solve the question

∵ The engineer used the scale 3 inch = 40 feet

∴ The scale drawing is ⇒ 3 inche :  40 feet

∵ The drawing length of the bridge is 6 inches

→ By using the ratio method

→  inch :  feet

→  3      :  40

→  6      :  x

→ By using cross multiplication

3 × x = 6 × 40

∴ 3x = 240

→ Divide both sides by 3

x = 80

∵ x represents the actual length of the bridge

The bridge is 80 feet long


Related Questions

Write the word sentence as an equation. Then solve.

The quotient of a number x and −1.5 is 21.

Equation:

Question 2
Solution: x=

Answers

Answer:

-1.5-21x

Step-by-step explanation:

A human bone is made up of water 1/4 and 9/20 minerals, and the rest is living tissue. What decimal represents the amount of a human bone that is living tissue?

Answers

Answer:

0.3

Step-by-step explanation:

First you need to add 1/4 and 9/20, and you would get 7/10. That only leaves 3/10, which as a decimal is 0.3.

The decimal that represents the amount of a human bone that is living tissue is 0.3

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that human bone is made up of water 1/4 and 9/20 minerals, and the rest is living tissue.

First we need to add 1/4 and 9/20,

Thus we would get 7/10.

That only leaves 3/10, which as a decimal is 0.3.

The decimal that represents the amount of a human bone that is living tissue is 0.3

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

Mikey has $100 to spend on books. She wants to buy at least 14 books. Hardback books cost $15.00 and paperback books cost $7.00.

Represent the scenario as a system of inequalities.

A. x+y≤100
15x+7y≥14

B. x+y≤14
15x+7y≥100

C. x+y≥14
15x+7y≤100

D. x+y≥100
15x+7y≤14

Answers

A. x+y<100
15x+7y>14 is the right answer

I WILL GIVE BRAILYEST!!!!!
What are the solutions to y=5x2−35x+30?
What are the solutions to y=2x2+16x+30?
What are the solutions to y=6x2−48x+42?

Answers

Answer:

0,6

9,8

0,9

Step-by-step explanation:

graph and find the coordinates ​

Answers

Answer:

a' (4,3)

b' (2,-3)

c' (-1,0)

to graph the triangles, you plot the points an then connect them to form a triangle. you have to plot triangle ABC and then triangle A'B'C'

Step-by-step explanation:

Olivia can type 45 words every 2.5
minutes. What is the unit rate of words
per minute that Olivia can type?
What would be the rate of words per second?

Answers

Answer:

18 per min and 0.3 per second

Step-by-step explanation:

Per minut --> 45/2.5 = 18 words per minut

Per sec --> 2.5 mins*60 secs = 150 sec, then 45/150 = 0.3 words per second

Best regards

what is the simplified fractional equivalent of the terminating decimal 0.32

Answers

Answer:

8/25

Step-by-step explanation:

Brainliest pls

Answer:

8/25

Step-by-step explanation:

Mazie bought a bike during a 20% off sale and saved $16. What was the original price?

Answers

Answer:

$80. Which means she spent $64 with the sale, but the original price is $80.

Step-by-step explanation:

16 is 20% of 80

Answer

The answer is $120.00

Options

What was the price of the bicycle when Mazie bought it?

$140.00

$149.80

$130.00

$120.00

Explanation

Multiply the price of the bike by the discount percentage

150 * 0.20 = 30

Subtract the number you just found from the original price

150 - 30 = 120

There is your answer

You could take a shortcut by doing the following

1 - 0.20 = 0.80

Then multiply the original value by the new percentage

150 * 0.80 = 120

Personally I like the first method because it makes more sense.

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. a. What would be the width and length of a scale drawing of Elena's bedroom?

Answers

Answer: Length = 10cm

Width = 6cm

Step-by-step explanation:

First and foremost, we should note that

1 meter = 100 cm.

Therefore,

Length = 5m = 500 cm

Breadth = 3m = 300 cm.

Since Elena wants to make a scale drawing of 1 to 50, then

Length = 500 cm / 50 = 10 cm

Breadth = 300 cm / 50 = 6 cm.

Therefore, the length of the scale drawing will be 10 cm and the width of the scale drawing will be 6cm.

Given the point (1, 2) and a slope of 4, write the equation in point slope form.

Answers

This article is about the math term. For other uses, see Slope (disambiguation).

For the grade (incline or gradient or pitch or slope) of any physical feature, see Grade (slope).

Slope: {\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}{\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.

The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.

A line is increasing if it goes up from left to right. The slope is positive, i.e. {\displaystyle m>0}m>0.

A line is decreasing if it goes down from left to right. The slope is negative, i.e. {\displaystyle m<0}m<0.

If a line is horizontal the slope is zero. This is a constant function.

If a line is vertical the slope is undefined (see below).

The rise of a road between two points is the difference between the altitude of the road at those two points, say y1 and y2, or in other words, the rise is (y2 − y1) = Δy. For relatively short distances, where the earth's curvature may be neglected, the run is the difference in distance from a fixed point measured along a level, horizontal line, or in other words, the run is (x2 − x1) = Δx. Here the slope of the road between the two points is simply described as the ratio of the altitude change to the horizontal distance between any two points on the line.

In mathematical language, the slope m of the line is

{\displaystyle m={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}.}m=\frac{y_2-y_1}{x_2-x_1}.

The concept of slope applies directly to grades or gradients in geography and civil engineering. Through trigonometry, the slope m of a line is related to its angle of incline θ by the tangent function

{\displaystyle m=\tan(\theta )}m = \tan (\theta)

Thus, a 45° rising line has a slope of +1 and a 45° falling line has a slope of −1.

Brainliest for the correct answer 20 points!!!

Answers

Answer:

y = -3/2x + 3

Step-by-step explanation:

Answer:

y= 3 - 2x

Step-by-step explanation:

I need to find the x pls help and show work

Answers

Answer:

Start giving more points

Step-by-step explanation:

plus i needed the points

Answer:

x=143

Step-by-step explanation:

deNew image over pre-image so 52/4 would equal x/11 because those sides correspond, then cross multiply to get 572 equals 4x then divide each side by 4 to get x=143

Omar goes to a restaurant with his family. The total cost of their food is $136. An 8% sales tax is applied to the cost of their food. His family also wants to leave an 18% tip, which is based on the pre-tax food cost. How much will the final restaurant bill be?

A, $146.88
B, $160.48
C, $171.36
D, $173.32​

Answers

Answer:

C. 171.36....... :)).......

Sorry I didn't know what subject to put this in but Please help I really do need it u don't have to tho
Which fitness test measures the strength and flexibility of the lower back?
A.
Walk/Run test
B.
Curl ups
C.
Sit and Reach
D.
Trunk Lift

Answers

Answer:

Curl ups

Step-by-step explanation:

I'm not 100% sure, but it seems like the most logical answer to me.

Answer:

Trunk Lift

Step-by-step explanation:

Olivia filled 6 baskets of strawberries. Later she combined the fruit evenly into 3 larger boxes. if all 3 boxes sold for $42, how much money did each box of strawberries cost?

Answers

Answer:

21

Step-by-step explanation:

becuase that's the answer lol

Marlene expects her gross income to be $54,000 this year, and she expects her required deductions to amount to $15,000. Her employer covers 90% of the cost of a $4800-per-year health insurance plan and 80% of the cost of a $900-per-year life insurance plan, with the remainder of the cost coming out of Marlene's pay, and Marlene also expects to contribute 8% of her gross income this year to her 401(k) plan. She wants to calculate how much she will receive for each of her bimonthly paychecks.

Answers

Answer:

Marlene will receive $1,417.50 for each of her bimonthly paychecks.

Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of annual deductions to bear by Marlene

Required deductions = $15,000

Contribution to cost of health insurance plan per-year = $4800 * 10% = $480

Contribution to cost of life insurance plan per-year = $900 * 20% = $180

Contribution to this year's 401(k) plan = $54,000 * 8% = $4,320

Step 2: Calculation of annual paychecks

Annual paychecks = Gross income - Required deductions - Contribution to cost of health insurance plan per-year - Contribution to cost of life insurance plan per-year - Contribution to this year's 401(k) plan = $54,000 - $15,000 - $480 - $180 - $4,320 = $34,020

Step 3: Calculation of bimonthly paychecks

Bimonthly paychecks = Annual paychecks / 24 = $34,020 / 24 = $1,417.50

Therefore, Marlene will receive $1,417.50 for each of her bimonthly paychecks.

The cost of one pound of bananas is greater than $0.41 and less than $0.50. Sarah pays $3.40 for x pounds of bananas. Which inequality represents the range of possible pounds purchased? 0.41 < 0.41 less than StartFraction 3.40 over x EndFraction less than 0.50. < 0.50 0.41 < 0.41 less than StartFraction x over 3.40 EndFraction less than 0.50. < 0.50 0.41 < 3.40x < 0.50 0.41 < 3.40 + x < 0.50

Answers

Answer:

0.41 x < 3.40 < 0.50 x

If there is a whole number of pounds it could be: x = 8 pounds

0.41 * 8 = 3.28,  0.50 * 8 = 4

3.28 < 3.40 < 4

Answer:

Inequality is

0.41 x < 3.40 < 0.50 x

Step-by-step explanation:

PLSSSS HELPPP ME SOMEBODY WITH THESE MATH QUESTIONS!!!!!!!!! OR AT LEAST TRYYYYYYYYYYY. REWARD BRAINLIESTTTTT

Answers

Answer:

i would help but i am very bad at math

Step-by-step explanation:

i’m at sorry

Two of the vertices of a rectangle are (6,1) and (7,1) . IF the rectangle has a perimeter of 18 units, then what are the coordinates of its other two vertices

Answers

Answer:

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

Step-by-step explanation:

Given: Two of the vertices of a rectangle are (6,1) and (7,1)

Perimeter= 18 units

To get the value of "x"

The distance between Two point can be calculated as (6-7)=-1

Then x= -1

We can get the value of "y" by using expression for perimeter,

The perimeter P= 2x+2y=18

= 2(-1)+2y= 18

-2+2y=18

2y=18+2

2y= 20

y=10

The "y" coordinate can move up or can move down

y1=( 1-10)=-9

Or

y2=( 1+10)=11

Hence, the two other points are;

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

7. Simplify the expression.
3[(15 – 3)2 + 4

Answers

Answer:

84

Step-by-step explanation:

Answer:

If you meant 3 [ ( 15-3 ) 2 ] + 4, the answer should be 73.

Step-by-step explanation:

3 [ ( 15-3 ) 2 ] + 4

= 3 [ ( 12 ) 2 ] + 4

= 3 [ 24 ] + 4

= 69 + 4

= 73

People use water to​ cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for cooking . If a family uses 68.8 gallons of water a day for cooking​, how many gallons do they use every​ day?

Answers

Ummmmmmm try using those things that help ppl with math

a student concluded that the solution to the equation startroot 2x+1 endroot +3=0 is x=4 do you agree? explain why or why not.

Answers

Answer:

X=4

Step-by-step explanation:

Given the equation

√2x+1 + 3= 0

Subtract 3 from both sides

√2x+1 +3 +3 = 0-3

√2x1 = -3

Square both sides

{√2x+1)² =(-3)²

2x+1 =9

2x= 9-1

2x = 8

x = 8/2

x = 4

Hence I agree that the solution is x = 4 based on the explanation above

A robot can complete 3 tasks in hour. Each task takes the same amount of time. 10 a. How long does it take the robot to complete one task? b. How many tasks can the robot complete in one hour? ​

Answers

Answer:

a.20 minutes

b.3 tasks

Step-by-step explanation:

60 divided by 3 = 20

Jenny earned 86 of a possible 138 points on a test. She lost 2 points for each incorrect answer. How many incorrect answers did she have?

Answers

she had 26 wrong answers

I am stuck on part b

Answers

Answer: answer is 3.

Step-by-step explanation:

Mean is the sum of all the numbers divided by how many numbers are being added.

Mean = (1 + 2 + 3 + 4 + 5)/5

= 15/5

= 3

Manuel wants to replace the wooden floor at his gym. The floor is in the shape of a rectangle. Its length is 40 feet and its width is 25 feet. Suppose wood flooring costs 11$ for each square foot. How much will the wood flooring cost for the floor?

Answers

Answer:

$11,000

Step-by-step explanation:

Step one:

given data

the dimension of the gym is

length = 40ft

width= 25ft

Area= 40*25

Area= 1000ft^2

Step two:

     if 1ft^2 will cost $11

then 1000ft^2 will cost x

cross multiply

x=1000*11

x=$11,000

The cost for the floor is $11,000

Given that f(x)=x-9, g(x)=3x^2-2x+5, Find the function

(f+g)(x):_____________

Answers

Answer:

f(g(x)) thats what (fog)(x) is

3(x-9)^2-2(x-9)+5

your answer is 3x^2-56x+266

Step-by-step explanation:

hope it helps

5x - (2x + 5)
170
please help.

Answers

Answer:

56.66666667??? i think

Step-by-step explanation:

Answer:

The simplified answer is -335x-850

Divide 4 1/4 by 2. ​

Answers

i’m pretty sure it’s 2 1/8

If 24 = 118, what is the measure of each of the other
angles?

Answers

Answer:

Step-by-step explanation:

Lines l and m are the parallel lines and line n is a transversal intersecting parallel lines.

Since, m∠2 = m∠4 = 118° [Given]

m∠2 = m∠6 = 118° [Corresponding angles]

m∠4 = m∠8 = 118° [Corresponding angles]

m∠1 + m∠2 = 180° [Linear pair of angles]

m∠1 = 180° - 118° = 62°

m∠1 = m∠5 = 62° [Corresponding angles]

m∠3 = m∠1 = 62° [Corresponding angles]

m∠7 = m∠5 = 62° [Corresponding angles]

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