Simplify by combining like terms: 3x

1. a) if 60%% students passed in Physics, 55% pass in Math and 40% fail in both subjects, what percent of students are pass in b

hammer [34]

Answer:

75%

Step-by-step explanation:

Percent. of students passed who in physics =60% Percent. of students who passed in maths = 55%

Total percent. who passed = (60+55)%

= 115%

Percent. of students who failed= 40%

Percent. of students who passed = (115 - 40)%

= 75%.

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5 0

2 years ago

Marco is making a kite, using sticks for its diagonals. One stick is 2 feet long and the other is 3 feet long. How much material

Marat540 [252]

Answer:

Marco will need $3\ ft^{2}$ of material to make the kite

Step-by-step explanation:

we know that

To know how much material Marco will need to make the kite, the area must be calculated.

Remember that the area of the kite is equal to

$A=\frac{1}{2}[d1*d2]$

where

d1 and d2 are the diagonals of the kite

we have

$d1=2\ ft$

$d2=3\ ft$

substitute

$A=\frac{1}{2}[2*3]=3\ ft^{2}$

3 0

3 years ago

Read 2 more answers

Which statement best describes the function below?

marta [7]

<h2>Answer:</h2>

A. It is a many-to-one function.

<h2>Step-by-step explanation:</h2>

Hello! It will be a pleasure to help to figure out what's the correct answer to this problem. First of all, we have the following function:

$f(x) = 2x^3 + 2x^2-x$

When plotting this function, we get the red graph of the function shown below. So let's solve this as follows:

<h3>A. It is a many-to-one function.</h3>

True

A function is said to be many-to-one there are values of the dependent variable (y-values) that corresponds to more than one value of the independent variable (x-values). To test this, we need to use the Horizontal Line Test. So let's take the horizontal line $y=0.5$ , and you can see from the first figure below that $y=0.5$ is mapped onto $x=-1.241 \ x=-0.344 \ and \ x=0.585$ . so this is a many-to-one function.

<h3>B. It is a one-to-one function.</h3><h3>False</h3>

Since this is a many-to-one function, it can't be a one-to-one function.

<h3>C. It is not a function.</h3>

False

Indeed, this is a function

<h3>D. It fails the vertical line test.</h3>

False

It passes the vertical line test because any vertical line can intersect the graph of the function at most once. An example of this is shown in the second figure below.

6 0

3 years ago

Find the probability that the hitter makes 10 outs in 10 consecutive at-bats, assuming at-bats are independent events. Hint:

emmainna [20.7K]

Answer:

0.037

Step-by-step explanation:

If the hitter makes an out 72% of the time, then the probabilty that he makes hit in 1 at-bat is $p=0.72$ and the probabilty that he doesn't make hit in 1 at-bat is $q=1-p=1-0.72=0.28.$

The probability that the hitter makes 10 outs in 10 consecutive at-bats, assuming at-bats are independent events is

$P=p^{10}=(0.72)^{10}\approx 0.037.$

5 0

3 years ago

motel clerk counts his $1 and $10 bills at the end of a day. He finds that he has a total of 57 bills having a combined monetary

madreJ [45]

You can use a matrix equation to discover that the motel clerk has 45 $1 bills and 12 $10 bills.

4 0

3 years ago

Simplify by combining like terms: 3x - 10 + 2 + 6x