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2 years ago

13

Fill in the blank using a term found in the vocabulary list. The ratio of the value of a subtotal to the value of the total is c

alled _________________.

1 answer:

lina2011 [118]2 years ago

5 0

Answer:

Relative frequency

Step-by-step explanation:

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Bert and Ernie are missing each other and their friend Big Bird They want to meet at Big Bird's nest which is halfway from their

algol [13]

Answer:

The distance between Bert and Ernie's apartments from Big Bird's nest

is 21 miles

Step-by-step explanation:

* Lets change the story problem to an equation to solve the problem

- The information i the story problem is

# The Big Bird's nest is halfway from there apartments

# The distance between Bert's apartment and Big Bird's nest is (5x + 4)

# The distance between Ernie's apartment and Big Bird's nest is (15x - 30)

* Now lets solve

∵ The Big Bird's nest is halfway from there apartments

∴ The distance between Bert's apartment and Big Bird's nest = The

distance between Ernie's apartment and Big Bird's nest

∴ 5x + 4 = 15x - 30

- Collect the variable terms in one side and the numerical terms

in th other side

∴ 15x - 5x = 30 + 4 ⇒ add

∴ 10x = 34

∴ x = 34 ÷ 10 = 3.4

* Now lets find the distance between Bert and Ernie's apartments

from the Big Bird's nest

- We can use any relation to find the distance

∵ The distance = 5x + 4

∵ x = 3.4

∴ The distance = 5(3.4) + 4 = 17 + 4 = 21 miles

You can check the answer by using second equation

∵ The distance = 15x - 30

∵ x = 3.4

∴ The distance = 15(3.4) - 30 = 51 - 30 = 21 miles

4 0

3 years ago

Standard form of a point that goes through-2,4 and the slope is -1/7

lesantik [10]

<u>Answer:</u>

Standard form of a line passing through (-2, 4) and having slope of -1/7 is x + 7y = 26

<u>Solution:</u>

Given that we need to determine standard form of a line that goes through (-2 , 4) and slope of the line is -1/7

Standard form of line passing through point ( a , b ) and having slope m is given by

(y – b) = m ( x – a) --------(1)

In our case given point is ( -2 , 4 ) and slope is -1/7 that means

a = -2 , b = 4 , m = -(1/7)

On substituting given value of a , b and m is equation (1) we get

$(y-4)=\left(-\frac{1}{7}\right)(x-(-2))$

$=>(y-4)=\left(-\frac{1}{7}\right)(x+2)$

=> 7( y - 4 ) = -x – 2

=> 7y + x = -2 + 28

=> x + 7y = 26

Hence standard form of a line passing through (-2,4) and having slope of –(1/7) is x + 7y = 26

8 0

3 years ago

Calculate the distance traveled when moving at a rate

Mkey [24]

Answer:

dist = 60 mph * (3.5 hrs) = 210 miles

The answer is 210 Miles

3 0

3 years ago

Of the 10,000 participants in the Cooper Run/Walk, 42% were runners and one-third of the runners were female. Sally, a female ru

Aleks [24]

Answer: 140 female runners

Step-by-step explanation:

First find out the number of runners:

= 42% * 10,000

= 4,200 runners

Then find out the number of female runners:

= 4,200 * 1/3

= 1,400 female runners

Sally finished faster than 90% of the female runners which means that 10% finished faster or at the same time as her.

= 10% * 1,400

= 140 female runners

5 0

2 years ago

Wich expression is equivalent to (3x^5+8x^3)-(7x^2-6x^3)

n200080 [17]

(3x^5 + 8x^3) - (7x^2 - 6x^3) = 3x^5 + 8x^3 - 7x^2 - 6x^3 = 3x^5 + 2x^3 - 7x^2

6 0

2 years ago