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Tju [1.3M]
3 years ago
15

What is 23/40 as a decimal

Mathematics
1 answer:
DanielleElmas [232]3 years ago
7 0
It is 0.575000. All you have to do is divide the numerator by the denominator.

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The following wedge prism has a volume of
tiny-mole [99]

Answer:

The volume of the prism is 27 cubic inches.

Step-by-step explanation:

In order to calculate the volume of the given prism, we need to apply the correct formula. The volume of the wedge prism is given by the following formula:

Volume = \frac{1}{2}*b*h*l

Applying the data from the problem on the equation above, we have:

Volume = \frac{1}{2}*6*4.5*2\\Volume = 6*4.5\\Volume = 27

The volume of the prism is 27 cubic inches.

6 0
3 years ago
Determine the equation of the line that is perpendicular to the line y = 3x + 4 and passes through the point (6, 2).
fomenos

Answer:

y = -1/3x + 4

Step-by-step explanation:

Perpendicular lines: Their gradients are reciprocals.

This means:

  • -1 ÷ Gradient 1 = Gradient 2
  • Gradient 1 * Gradient 2 = -1

Gradient of the given equation is 3.

-1 / 3 = -1/3

Gradient of the equation we're finding is -1/3

y = -1/3x + c

Substitute the coordinates in to find the value of c

2 = -1/3(6) + c

2 = -2 + c

2 + 2 = c

4 = c

y = -1/3x + 4

3 0
3 years ago
PLS HELP ME I’VE ASKED THIS TWICE AND NOBODY HAD ANSWER THIS IS REALLY EASY TO DO
laiz [17]

Answer:

Step-by-step explanation:

All the angles within a triangle equals to 180, and that square thing at a corner of the triangle means that the angle is 90 degrees, so:

20+6x+16+90=180

add stuff

6x+126=180

subtract 126 from both sides

6x=54

divide 6 from both sides

x=9

6 0
3 years ago
Translate 3(x-y)=2y+9 into a verbal sentence
dezoksy [38]

Answer:

3 times x then minus 3 times y equal 2y plus 9

Step-by-step explanation:

Not sure if it works......

that's the verbal sentence (which is not formal sentence) i can think of now......

7 0
2 years ago
Six Republicans and four Democrats have applied for two open positions on a planning committee. Since all the applicants are qua
Dafna11 [192]

Answer:

\displaystyle P=\frac{7}{15}=0.467

Step-by-step explanation:

<u>Probabilities</u>

When we choose from two different sets to form a new set of n elements, we use the so-called hypergeometric distribution. We'll use an easier and more simple approach by the use of logic.

We have 6 republicans and 4 democrats applying for two positions. Let's call R to a republican member and D to a democrat member. There are three possibilities to choose two people from the two sets: DD, DR, RR. Both republicans, both democrats and one of each. We are asked to compute the probability of both being from the same party, i.e. the probability is

P=P(DD)+P(RR)

Let's compute P(DD). Both democrats come from the 4 members available and it can be done in \binom{4}{2} different ways.

For P(RR) we proceed in a similar way to get \binom{6}{2} different ways.

The total ways to select both from the same party is

\displaystyle \binom{4}{2}+\binom{6}{2}=4+15=21

The selection can be done from the whole set of candidates in \binom{10}{2} different ways, so

\displaystyle P=\frac{21}{\binom{10}{2}}

\displaystyle P=\frac{21}{45}=\frac{7}{15}=0.467

3 0
3 years ago
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