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2 years ago

A rectangular painting measures 1/2 yards wide and 5/4 yards long find the area of the painting in square yards.

Mathematics

1 answer:

Olegator [25]2 years ago

8 0

Answer: 5/8 yards²

Step-by-step explanation:

The painting is in the shape of a rectangle as stated and the formula for finding the are of a rectangle is:

= Length * Width

The are of the rectangular painting is:

= 5/4 * 1/2

= 5/8 yards²

Witten in decimal form:

= 0.625 yards²

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2 years ago

Consider the function f(x)=-2/3x +5 <br> what is f(-6) <br> enter your answer in the box <br> f(-6)=

GaryK [48]

Answer:

f(- 6) = 9

Step-by-step explanation:

to evaluate f(- 6), substitute x = - 6 into f(x)

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3 years ago

The harbormaster decides how many trips the ferry needs to make for 37 cars. The ferry can carry 8 cars at a time. What is the b

katen-ka-za [31]

Answer:

By adding 1 to the quotient.

Step-by-step explanation:

The Harbormaster needs to arrange tripe for 37 cars

in one go ferry can carry a maximum of 8 cars

trips = 37/8 = 4.625 trips

Since the ferry can't go in decimals so we need one more trip to carry all the cars. Hence the best way to interpret the remainder of 37/8 is by adding 1 to the quotient which will make 5 trips.

5 0

2 years ago

In a horse race with 5 horses, you make a bet by predicting the ranking of all 5 horses. Suppose you place your bet at random. W

lapo4ka [179]

Answer:

P( top two horses are predicted incorrectly in incorrect order)

= $\frac{1}{2}$

Step-by-step explanation:

In the horse race the outcome can be predicted in 5! = 120 ways.

Now suppose the top two horses were predicted incorrectly in incorrect order. Now, the top horse can be predicted incorrectly in 4 ways.

Suppose the top horse was predicted to be in k-th position where k = 2, 3 ,4,5

so the second horse can be predicted to be in place from 1 to (k - 1)

So, the top two horses can be predicted incorrectly in incorrect order

in $\sum_{k =2}^{5}(k - 1)$ = 10 ways

and for each prediction of the two the remaining horses may be predicted in 3! = 6 ways.

Hence ,

P( top two horses are predicted incorrectly in incorrect order)

= $\frac{6 \times 10}{120}$

= $\frac{1}{2}$

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2 years ago

What value of b will cause the system to have

Tresset [83]

9514 1404 393

Answer:

Step-by-step explanation:

The value of b that makes the two lines identical is the opposite of the y-intercept of the line.

y = 6x -6 . . . . has y-intercept = -6

The value of b is the number in the term -6, so is 6.

5 0

2 years ago