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2 years ago

Write an expression in simplest form for the perimeter of the exercise mat

Mathematics

1 answer:

Verizon [17]2 years ago

6 0

The simplest expression is (2w)+(2*3w), because to calculate perimeter, you have to use this formula: 2length+2width.

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“Determine whether 3x+12+x is equivalent to 4(3+x). Use properties of operations to justify your answer” PLEASE HELP

Firdavs [7]

Answer:

It’s equivalent.

Step-by-step explanation:

Collect like terms: 4x+12 = 4(3+x)

Expand brackets: 4x+12 = 12+4x

Rearrange: 4x+12 = 4x+12

6 0

2 years ago

For question 3, use the Pythagorean Theorem.

Juliette [100K]

Step-by-step explanation:

can't really use the Pythagorean because you don't know this is a right triangle.

use the fact that they are similar

3/6 = x/12 where x is FE

cross multiply

6x = 36 therefore FE = 6

then 6/12 = y/9 where y is FD

cross multiply

12y = 54 = 54/12 therefore FD = 4.5

3 0

2 years ago

Joe owns a stock which has probability .5 of going up. This morning, he bought a ticket in a lottery game which gives him a prob

Anit [1.1K]

Answer:

The probability that Joe's stock will go up and he will win in the lottery is 0.00005.

Step-by-step explanation:

Let the events be denoted as:

X = the stock goes up

Y = Joe wins the lottery

Given:

P (X) = 0.50

P (Y) = 0.0001

The events of the stock going up is not dependent on the the event of Joe winning the lottery.

So the events X and Y are independent of each other.

Independent events are those events that can occur together at the same time.

The joint probability of two independent events A and B is,

$P(A\cap B)=P(A)\times P(B)$

Compute the value of P (X ∩ Y) as follows:

$P(X\cap Y)=P(X)\times P(Y)=0.50\times 0.0001=0.00005$

Thus, the probability that Joe's stock will go up and he will win in the lottery is 0.00005.

3 0

2 years ago

Read 2 more answers

Help me and am I doing this right

Nat2105 [25]

Looks write but i think ur missing somthing

5 0

2 years ago

Two people are driving to work at different constant speeds. The graph below shows the distance traveled over time by driver 1.

Luden [163]

Answer:

5 mph

Step-by-sep explanation:

To find of out the difference between the speed of the two drivers in miles per hour (not in miles per minute), first, calculate the unit rate or speed of driver 1 using the graph, and driver 2 using the table given.

Unit rate/speed = distance travelled/time = y/x.

Speed of Driver 1/unit rate:

The graph shows 1.5 miles (y) is travelled in 2 minutes (x).

Convert the 2 minutes to hour, you will have:

$\frac{2}{60} = \frac{1}{30} hr$

Speed in mph = $\frac{y}{x} = \frac{1.5}{\frac{1}{30}} = 1.5*\frac{30}{1} = 45$

Speed of Driver 1 in mph = 45 mph

Speed of Driver 2/unit rate:

The table shows 2.5 miles (y) is travelled in 3 minutes (x).

Convert the 3 minutes to hour, you will have:

$\frac{3}{60} = \frac{1}{20} hr$

Speed in mph = $\frac{y}{x} = \frac{2.5}{\frac{1}{20}} = 2.5*\frac{20}{1} = 50$

Speed of Driver 2 in mph = 50 mph

Difference between the speed of the two drivers = 50 - 45 = 5 mph

4 0

3 years ago