MATHEMATICS HIGH SCHOOL

On an architect's plan for a house, the scale reads ½ in. = 5 ft. How long is the actual length of a room that's 2 in. long on the drawing?

Answers

Answer 1
Answer:

Answer: 20ft

Step-by-step explanation:
Answer 2
Answer:

Answer:

the answer is 20 feet

Step-by-step explanation:

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Leann makes an average of 36 cookies per week. About how many cookies will she make in a year

Answers

Answer:

The answer is 1872 cookies.

Step-by-step explanation:

First we know that in one year there are 52.18 weeks or 52 weeks. You take that number of weeks and multiply it by 36.

If you multiply 36 by 52 you get 1872 cookies.

Or, if you multiply 52.18 by 36 you get 1878.48

An icicle is in the shape of an inverted cone with a diameter of 14 mm and a height of 60 mm. How much-frozen water is in the icicle? Use 3.14 for Pi. Round the answer to the nearest tenth.

Answers

Answer:

Amount of water =  3077.2 mm^3.

Step-by-step explanation:

The radius = 1/2 diameter = 1/2 * 14 = 7.

The amount of ice in the cone = it's volume.

The volume of the cone = 1/3 3.14 r^2 h

= 1/3 * 3.14 * 7^2 * 60

= 3077.2 mm^3.

My cookbook says that a salad sauce should be made of 1/3 lemon juice and 2/3 oil.I put in 50 ml oil but my hand slipped when adding the lemon juice and the total volume is now 90 ml.
How much oil must I add to have the correct proportions?

A 10 ml B 30 ml C 40 ml D 80 ml

Answers

Answer:

We know that you put (90-50), or 40 ml of lemon juice. If 40 ml of lemon juice is 1/3 of the total sauce, then 80 ml of it should be oil.

So you should add 30 ml more oil to make it proportional.

Let me know if this helps!

Find the slope and the y intercept of the linear equation y=1/8x +3

Answers

Format: y = mx + b
m = slope, b = y intercept
Slope: 1/8, y intercept: 3

The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height (y), in mm, to which it grows:y = 4 + 2x
What does the y-intercept of this function represent?
The original height of the plant was 4 mm.
The original height of the plant was 2 mm.
The height of the plant increases by 2 mm for every hour of sunlight it receives.
The height of the plant increases by 4 mm for every hour of sunlight it receives.

Answers

Remember that the y-intercept is obtained when the value of x is set to zero. This means that the y-intercept is the value of the height without sunlight yet. This also refers to the original height of the plant. This gives:

y = 4 + 2(0) = 4

So, the original height of the plant is 4 mm.

The formula also indicates that when sunlight is present, a height of 2mm is increased every hour of sunlight exposure.

Answer:The original height of the plant was 4 mm.

Step-by-step explanation:

If x ¤ y = (x + y)² - (x - y)²
Then √5 ¤ √5 =

Answers

x\ \diamond\ y=(x+y)^2-(x-y)^2=x^2+2xy+y^2-(x^2-2xy+y^2)\n\n=x^2+2xy+y^2-x^2+2xy-y^2=4xy\n\n\sqrt5\ \diamond\ \sqrt5=4\cdot\sqrt5\cdot\sqrt5=4\cdot5=20
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