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arlik [135]
3 years ago
13

Find the distance between the points (5/2,3) and (3/2,8)

Mathematics
1 answer:
AURORKA [14]3 years ago
7 0

Answer:

d = \sqrt{26} ≈ 5.1 ( to 1 dec. place )

Step-by-step explanation:

to calculate the distance d use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (\frac{5}{2}, 3) and (x₂, y₂ ) = (\frac{3}{2}, 8)

d =√ (\frac{3}{2} - \frac{5}{2})² - (8 - 3)²

  =\sqrt{1+25} = \sqrt{26} ≈ 5.1


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Suppose you always eat a particular brand of cookies out of the standard sized package it comes in from the store. You notice th
Blababa [14]

Answer:

There are 91 cookies in the package of cookies

Step-by-step explanation:

The given parameter for the number of cookies are;

The number of cookies left when eating 3 at a time = 1 cookie

The number of cookies left when eating 5 at a time = 1 cookie

The number of cookies left when eating 7 cookies at a time = No cookie leftover

Let 'n' represent the number of cookies in the pack, let 'a', 'b', and 'c' be the multiples of 3s, 5s, and 7s in 'n', respectively, we have;

The number of cookies in the pack, n < 100

Therefore, we have;

3·a = n - 1

5·b = n - 1

7·c = n

∴ n - 1 is a multiples of 3 and 5 less than 100 which are;

15, 30, 45, 60, 75, and 90

Therefore, the possible values of 'n' are'

n = n - 1 + 1 = 15 + 1 = 16, 30 + 1 = 31, 45 + 1 = 46, 60 + 1 = 61, 75 + 1 = 75, 90 + 1 = 91

Multiples of 7 includes;

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98

Therefore, n = 91 which is the number that appear simultaneously in both search

The number of cookies in a package = 91 cookies

3 0
3 years ago
4. A number m is such that when it is divided by 30, 36, and 45 the remainder is always 7,
Bezzdna [24]

Answer:

187

Step-by-step explanation:

A number m is such that when it is divided by 30, 36 and 45 the remainder is always 7.

We should first find the LCM of 30, 36 and 45

We get that the LCM of the three numbers is 280 (working attached).

So now;

\frac{180}{30} = 6

\frac{180}{36} = 5

\frac{180}{45} = 4

But we need a number that leaves a remainder of 7 so we add 7 to 180 to get; 180 + 7 = 187.

5 0
4 years ago
The equation 2 x - 4 y = 7 is written in slope-intercept form. True False
Naily [24]

no it is not an intercept form because the y has to be by itself.

it should be in the form of y=mx+b

6 0
3 years ago
Help help help help help
attashe74 [19]

Answer:

i dont now

Step-by-step explanation:

inde man kona ka balo sorry

7 0
3 years ago
Read 2 more answers
Simplify: -10(-10+7x)-6(-9x)​
Amanda [17]

Answer:

100-16x

Step-by-step explanation:

-10(-10+7x)-6(-9x)

apply rule -(-a)=a:

-10(-10+7x) +6x9x

Multiply 6 x 9:

-10(-10 + 7x)+54x

Distribute:

100-70x+54

combine like terms:

100-16x

8 0
4 years ago
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