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3 years ago

What is the area of a gameboard if it is 9 1/2 inches by 11 3/4 inches

Mathematics

1 answer:

Reil [10]3 years ago

4 0

You just need to multiply 9 1/2 by 11 3/4. simplify these into decimals: 9.5 and 11.75

Then do 9.5*11.75=111.625

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An airplane travels 800 miles with the wind in the same of time it takes to travel 650 miles against the wind. What is the speed

SOVA2 [1]

Answer:

90 mph

Step-by-step explanation:

Against wind DATA:

distance = 600 miles ; time = 5 hrs. ; rate = 600/5 = 120 mph

With wind DATA:

distance = 600 miles ; time = 2 hrs ; rate = 600/2 = 300 mph

Equations:

p + w = 300

p - w = 120

2p = 420

p = 210 mph (speed of the plane in still air)

Since p+w = 300, w = 300-210 = 90 mph (speed of the wind)

3 0

3 years ago

Peter scored 30 goals at soccer practice. His ratio of goals to misses was 6:7. How many times did he miss?

Fiesta28 [93]

Goals=30
the ratio is 6 units to 7 units
goals=6 units
goals=30
30=6 uints
divide by 6
5=1 unit
so miss=7 units
5 per unit times 7 units=35
answer is 35 miss

6 0

3 years ago

Read 2 more answers

Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter

mezya [45]

Answer:

Dimensions: $A=a\cdot b=256$

Perimiter: $P=2a+2b$

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

$A=a\cdot b=256$

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

$b=\frac{256}{a}$

The function we want to optimize is the diameter.

We can express the diameter as:

$P=2a+2b=2a+2*\frac{256}{a}$

To optimize we can derive the function and equal to zero.

$dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16$

The minimum perimiter happens when both sides are of size 16 (a square).

4 0

3 years ago

If 141 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $2.5 and total receipts for the

Arturiano [62]

Answer: There are 69 adults and 72 children went to the concert.

Step-by-step explanation:

Let x be the number of adults, and y be the number of children.

x + y = 141

3.5x + 2.5y = 421.5

x + y =141

x = 141 - y

3.5(141 - y) + 2.5y = 421.5

493.5 - 3.5y + 2.5y = 421.5

493.5 - y = 421.5

-y = -72

y = 72

x + y = 141

x + 72 = 141

x = 69

6 0

3 years ago

What's the answer ?

Leviafan [203]

Answer:

yes

Step-by-step explanation:

8 0

3 years ago