1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bingel [31]
3 years ago
15

alec is climbing a 14 foot ladder where the rungs are 3/4 of a foot apart. there is one foot of space on each end of the ladder

before the first and last rung. How many rungs are on the ladder that alec is climbing including the first and last one?
Mathematics
1 answer:
Aleks [24]3 years ago
6 0

Answer:

Alec is climbing 17 rungs on the ladder of 14 feet ( including first and last rung ) .

Step-by-step explanation:

Given:

Length of the ladder = 14 foot

Distance between Rungs in ladder =  \frac{3}{4}

There is one foot of space on each end of the ladder before the first and last rung .  

To Find:

Number of  rungs are on the ladder =?

Solution:

Let us assume there are 3 rungs. Between 3 rungs there will be two spaces. between four rungs there will be 3 spaces , so between n + 1  rungs there will be n spaces.

Given that length of the ladder = 14 feet

There is one foot of space on each end before the first and last rung.

So length of the ladder between first and last rung = 14 – 2  ( 1 foot of each side) = 12 feet

As distance between each rung = \frac{3}{4}

Number of  \frac{3}{4}  spaces in ladder of 12 feet =\frac{( 12)}{\frac{3}{4}}

Number of  \frac{3}{4}  spaces in ladder of 12 feet=   \frac{(12\times4)}{3}

Number of  \frac{3}{4}  spaces in ladder of 12 feet=\frac{(48)}{3}

Number of  \frac{3}{4}  spaces in ladder of 12 feet =16

And as for n spaces there will be n + 1 rungs, so for 16 spaces there will be 16 + 1 = 17 rungs.

You might be interested in
The perimeter of a rectangular painting is 262 centimeters. If the width of the painting is 59 centimeters, what is its length?
Liula [17]
The formula of the perimeter of a rectangle is 2l+2w so look at the photo
3 0
3 years ago
For every 11 litres of petrol a car can run for 50 km.
algol [13]

Answer: 50.2 liters

Step-by-step explanation:

11 liters = 50km

Z liters = 228km

To get the value of Z, cross multiply

228 x 11 = Z x 50

2508 = 50z

Divide both sides by 50

2508/50 = 50z/50

50.16 = z

50.16 has two decimal places, so convert to 1 decimal place by approximation

50.16 = 50.2

Thus, 50.2 liters will be enough for 228km

6 0
3 years ago
Read 2 more answers
Which of these describes the equation –18x + 9y = –416?
Minchanka [31]

Answer:

We conclude the equation is linear because it can be rewritten in the form y = mx + b.

Hence, option D is correct.

Step-by-step explanation:

The slope-intercept form of the line or linear equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

<u>Important Tip:</u>

The graph of a linear equation is always a straight line.

Convert the given equation in the slope-intercept form

18x + 9y = -416

subtract 18x from both sides

18x+9y-18x = - 18x-416

simplify

9y = -18x - 416

divide both sides by 9

y=-2x-\frac{416}{9}

Now, comparing the equation y=-2x-\frac{416}{9} with a slop-intercept form of linear equation

  • The slope m = -2
  • The y-intercept b = -416/9

Therefore, we conclude the equation is linear because it can be rewritten in the form y = mx + b.

From the attached graph, is also clear that the graph of the equation y=-2x-\frac{416}{9} is a straight line.

Hence, option D is correct.

3 0
3 years ago
Read 2 more answers
Only number 4 part A and B pls help now
VARVARA [1.3K]
The group of seventh graders will have 5 groups of five: 5 is the greatest multiple of 25, or 5*5=25. Then for the sixth graders there will be 4 groups of 5: because 4&5 are the greatest factors of 20 and you want the most amount of kids per group, you would have 5 kids in each group. Hope this helps.
4 0
3 years ago
Jason and Kyle both choose a number from 1 to 10 at random. What is the probability that both numbers are odd?
Artemon [7]
Your answer is 

B) 1/2

because there are 5 odd and 5 even numbers from 5 through 10, so it would be 1/2.

Glad I could help, and good luck!


4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me with trigonometry
    6·1 answer
  • If sin A = 6 over 13, then which of the following is correct?
    7·1 answer
  • Plz help me with this problem
    11·1 answer
  • What two-dimensional cross section do a cube and a square pyramid have in common?
    12·1 answer
  • Mia buys 5 yards of ribbon to make bracelets.She needs 18 inches of ribbon to make 1 bracelet.How many bracelets can Mia make if
    12·1 answer
  • silvia has 20 tomato plants, 30 bean plants, and 15 cucumber plants. she wants to put the plants in rows so that each row has th
    11·1 answer
  • Need the answers please help​
    5·1 answer
  • What is the maximum number of real distinct roots that a quartic equation can have?
    15·1 answer
  • Factoring Polynomials Completely (step by step) Brainliest+thanks+5 stars
    10·1 answer
  • What is the value of x
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!