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
svp [43]
2 years ago
5

A caterpillar crawling in a straight line across a coordinate plane starts at point (-3,

Mathematics
1 answer:
Irina18 [472]2 years ago
7 0

9514 1404 393

Answer:

  15

Step-by-step explanation:

In vector form, the equation of point p on the line can be written as ...

  p = (-3, -4) +t(25 -(-3), 38 -(-4)) . . . . . for some scalar t

  p = (-3, -4) +t(28, 42)

  p = (-3, -4) +14t(2, 3)

where t takes on any value between 0 and 1.

If we let t = n/14 for some integer 0 ≤ n ≤ 14, then the coordinates of point p will be integers.

There are 15 values that n can have in the allowed range.

The caterpillar touches 15 points with integer coordinates.

You might be interested in
Sofia places 26 tiles representing each letter of the alphabet into a bag. Five of the tiles represent the vowels A, E, I, O, an
mars1129 [50]

Answer:

42 times.

Step-by-step explanation:

The number of total alphabet = 26 tiles

The number of vowels = 5

The number of consonant = 26 - 5 = 21

Sofia will randomly select 1 tile from the bag and without replacement select another tile from the bag.

The probability to select consonant at first time = 21/26

Total tiles after the first selection = 26 - 1 = 25

The probability to select vowels at second time = 5/25

The probability to select consonant and vowels = \frac{21}{26} *\frac{5}{25} =\frac{21}{130}

Sofia will draw two tiles from the bag 260 times.

The prediction for the number of times Sofia will select a consonant tile and a vowel tile = \frac{21}{130} *260=42 \ times

3 0
2 years ago
PLEASE HELPPP!!!
fredd [130]
The graph of f(x) = (x – 8)^3 + 4, is the parent graph [g(x) = x^3] transformed 8 units to the right, and transformed 4 units up
6 0
3 years ago
Any help with this plzzz?????
Harrizon [31]
1.
a.11/12=less than one

b. 77/72= greater than one

c.23/60= less than one

d. 31/56= less than one

2. <
8 0
3 years ago
When it hatches from its egg, the shell of certain crab is 1cm across. When fully grown the shell is approximately 10cm across.
inn [45]
Well every time it gets rid of a shell it grows 1 1/3 times larger. So so to see how much it grows after the first time you say
1 cm * 1 1/3 = 1 1/3 cm

to get the next one you do the same
1 1/3 cm * 1 1/3 cm = 16/9

It will keep going multiplying by 1 1/3. So so we can say in an equation that the
(initial size) * 1 1/3 *(number of shells) = length

Or 1cm * 1 1/3 * n = L

We we know the final length is 10cm

So 1 1/3 * n = 10cm

n = 7.5shells

so approximately 7 or 8 shells
8 0
3 years ago
Bobby put 1/3 of his lawn mowing money into his savings and uses the remaining 2/5 to buy a video game. If he has $12 left, how
Alexeev081 [22]

Given:

Bobby put 1/3 of his lawn mowing money into his savings

He uses the remaining 2/5 to buy a video game.

He has $12 left.

To find:

The amount did he have at first.

Solution:

Let x be the initial amount.

Bobby put 1/3 of his lawn mowing money into his savings. So, the remaining amount is

x-\dfrac{1}{3}x=\dfrac{2}{3}x

He uses the remaining 2/5 to buy a video game. Then the remaining amount is

Remaining=\dfrac{2}{3}x-\dfrac{2}{3}x\times \dfrac{2}{5}

Remaining=\dfrac{2}{3}x-\dfrac{4}{15}x

Remaining=\dfrac{10x-4x}{15}

Remaining=\dfrac{6x}{15}

Remaining=\dfrac{2x}{5}

It is given that the remaining amount is $12.

12=\dfrac{2x}{5}

12\times 5=2x

60=2x

Divide both sides by 2.

\dfrac{60}{2}=x

30=x

Therefore, Bobby have $30 at first.

6 0
3 years ago
Other questions:
  • 4 people can paint a house in 6 hours
    10·1 answer
  • Find the 6th term of a geometric sequence t3 = 444 and t7 = 7104.
    12·2 answers
  • An angle measures 143.4° more than the measure of a supplementary angle. What is the measure of each angle?
    9·1 answer
  • True or False? Tell whether the pair of ratios form a proportion. 8/12 and 14/21 Please explain why you chose what you chose​
    14·1 answer
  • Need help,will mark brainliest
    5·1 answer
  • Simplify the expression. (2q^5)^4
    7·2 answers
  • What’s 4.3 x .8 because I just don’t get it
    6·2 answers
  • Each year about 1500 students take the introductory statistics course at a large university. This year scores on the nal exam ar
    13·1 answer
  • HELP ME PLEASEEE this is past due
    9·1 answer
  • 3 x 5/6 = ? x 1/6
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!