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REY [17]
3 years ago
15

A squirrel jumps along the number line. Each of its jumps is 5 units long. The squirrel sometimes jumps to the right and sometim

es to the left. It starts at point 6. Can it land at this point? (The point is 101)
Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

9514 1404 393

Answer:

  yes

Step-by-step explanation:

For some integer n, the squirrel lands on numbers that are ...

  5n +6

We want to see if n is an integer when ...

  5n +6 = 101

  5n = 95

  n = 19 . . . . yes, an integral number of jumps will get the squirrel to 101

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Find the velocity of a runner that complete 400 meters in 56 seconds
elena-s [515]

Answer:

Step-by-step explanation:

As long as the runner does not change direction, the velocity would be

Formula

d = r*t

r = d/t

Solution

r = 400 m  / 56 s

r = 7.14 m/s

6 0
3 years ago
Read 2 more answers
Heather is making a blanket for her baby and is going to put a ribbon border around it. The blanket will be 3 feet by 5 feet. Th
mote1985 [20]

Answer:

The approximate total cost for the blanket is $10.08 ⇒ B

Step-by-step explanation:

The formula of the area of a rectangle is A = L × W

The formula of the perimeter of a rectangle is P = 2(L + W)

where:

  • L is the length of the rectangle
  • W is the width of the rectangle

∵ The baby blanket shaped a rectangle

∵ The dimensions of the blanket are 3 feet and 5 feet

- Find the area of the blanket

∵ A = 3 × 5 = 15 feet²

- Change feet to yard because the cost is by square yard

∵ 1 foot = \frac{1}{3} yard

∴ 1 foot² = (\frac{1}{3})^{2}=\frac{1}{9} yard²

∴ 15 feet² = 15 × (\frac{1}{9}) = \frac{5}{3} yards²

∴ The area of the blanket is  \frac{5}{3} yards²

∵ The fabric cost of the blanket is $1.25 per square yard

∴ The fabric cost =  \frac{5}{3} × 1.25

∴ The fabric cost = 2.08333 dollars

∵ Heather is going to put a ribbon border around it

- The length of the ribbon is equal to the perimeter of the blanket

∵ P = 2(3 + 5) = 16 feet

∴ The length of the ribbon is 16 feet

∵ The cost of the ribbon is $0.5 per foot

∴ The cost of the ribbon = 16 × 0.5

∴ The cost of the ribbon = 8 dollars

Now add the fabric cost to the ribbon cost to find the total cost of the blanket

∵ The total cost = 2.08333 + 8

∴ The total cost = 10.08333

- Round it to the nearest cent

∴ The total cost = 10.08 dollars

The approximate total cost for the blanket is $10.08

7 0
3 years ago
What is the value of x?
nexus9112 [7]

50 will be the answer. Because one of the angle is exterior so we need to make that angle interior by 180- angle... then we use the method of finding the third side by

180-(<1+<2)

8 0
3 years ago
indictate which of the following are propositions.For the ones which are propositions, determine the truth value.(a) The integer
Semmy [17]

Answer:

Step-by-step explanation:

When we propose an hypothesis, it is either true or false. The same goes for a proposition.

The required objective here is to determine the truth value in the following proposition.

(a) The integer 24 is prime.

(b) Is the integer 3​15​ even?

(c) The sum of 3 and 4 is 12.

(d) -4 ∈ Ζ

From the first option:

(a) The integer 24 is prime.

The sentence is a proposition but the truth value is FALSE because a prime number is a number that can only be divide by 1 and itself but in the case of 24, Its factors include  1,2,3,4,6,8,12 and 24 which make 24 to falsify the proposition of being  a prime number.

(b) Is the integer 3​15​ even?

This option is not a proposition but rather a question since it has a question mark, however, 315 is an odd number since it is not divisible by 2.

( c)  The sum of 3 and 4 is 12.

This is a proposition and the truth value is FALSE

The sum of 3+4 = 7  ; Hence; 7 ≠ 12

(d)   -4 ∈ Ζ

This is a proposition and the truth value is TRUE.

-4 ∈ Ζ  is read as ( minus four is an integer  (∈)  of Z )

Yes, this is a proposition and its Truth value is TRUE , since  minus four is an integer  (∈)  of Z

6 0
3 years ago
Which one does not belong and why
Sliva [168]

Answer:

The Circle on the Top right doesn't belong since every other circle has a green quadrant, whereas on the other hand the circle on top right is missing the green quadrant

Hope this helps!

7 0
3 years ago
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