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Ainat [17]
3 years ago
15

List the independent and dependent variables for each situation:

Mathematics
1 answer:
natulia [17]3 years ago
4 0
Part (a)

Independent variable = age
Dependent variable = height

"depends on age" indicates that age is independent. 

-----------------------------------
Part (b)

Independent variable = amount of sleep
Dependent variable = mood

The key word is "determines". The stuff before this word is the independent variable which affects the dependent variable.
-----------------------------------
Part (c)

Independent variable = time water has been running
dependent variable = amount of water in the tub

Time is usually the independent variable
-----------------------------------
Part (d)

Independent variable = speed
dependent variable = distance from home

-----------------------------------
Part (e)

Independent variable = amount of homework done
dependent variable = speed

This seems like an odd pairing of homework and speed. Could there be a typo? I noticed that part (f) is very similar

-----------------------------------
Part (f)

Independent variable = amount of hw that is assigned
dependent variable = amount of homework done

Like with part (a), the stuff before "depends" is the dependent variable
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3 values greater than |-3.5|
pav-90 [236]

Answer:

6.5

Step-by-step explanation:

3.5 + 3

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This diagram of a rectangular city park was drawn using a scale of 1 centimeter to 20 meters
I am Lyosha [343]

Answer:

Scale factor for the drawing from actual park = \frac{1}{20}

Area of the actual park = 1200 cm²

Step-by-step explanation:

Length of the rectangular city park = 5 cm

Width of the rectangular park = 6 cm

Using scale factor 1 cm = 20 meters

Scale factor = \frac{\text{length of the park in drawing}}{\text{Actual length of park}}=\frac{1}{20}

\frac{5}{\text{Actual length of park}}=\frac{1}{20}

Actual length = 5 × 20 = 100 meters

Actual width = 6 × 20 = 120 meters

Area of the rectangular park = length × width

                                               = 100 × 120

                                               = 1200 square meters

Therefore, Scale factor from actual length to the length in drawing = 1 : 20

Area of the rectangular park = 1200 square feet

7 0
3 years ago
Earn 100 points for this question and a brainiest
padilas [110]

Answer:

the answer is C

Step-by-step explanation:

\frac{7}{7}  -  \frac{4}{7}  +  \frac{2}{7}

6 0
2 years ago
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A)$150 at 3 % interest for 2 years
tamaranim1 [39]

Answer:

A)  159.135 = X

B) 2,531.25 = X

C)  6,187.5 = X

D) 831,947.46 = X

Step-by-step explanation:

The following investments are required to be calculated:

A) $ 150 at 3% interest for 2 years

B) $ 750.00 at 1/2% interest for 3 years

C) $ 2,250.00 at 1 3/4% interest for 1 year

D) $ 2,550.00 at 3 1/4 interest for 4 years

Therefore, the following calculations must be performed:

A)

150 x (1 + 0.03) ^ 2 = X

150 x 1.03 ^ 2 = X

159.135 = X

B)

750 x (1 + 0.5) ^ 3 = X

750 x 1.5 ^ 3 = X

2,531.25 = X

C)

2,250 x (1 + 1.75) = X

2,250 x 2.75 = X

6,187.5 = X

D)

2,550 x (1 + 3.25) ^ 4 = X

2,550 x 4.25 ^ 4 = X

831,947.46 = X

4 0
2 years ago
An office equipment store buys highlighter pens boxes at a wholesale price of $15 each. It then marks up the price by 94%, and s
Stells [14]

Answer:

Option (d) is correct.

Step-by-step explanation:

Given that,

The wholesale price of a pen is $15.

It then marks up the price by 94%.

Its marked price is equal to 94% of $15. So,

\text{MP}=\dfrac{94}{100}\times \$15\\\\\text{MP}=\$14.1

Selling price of the highlighter pen is equal to the sum of marked price and the wholesale price.

SP = $14.1+$15

SP = $29.1

Hence, the marked price is $14.1 and the selling price is $29.1

3 0
3 years ago
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