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Talja [164]
3 years ago
15

Which equation represents the word sentence? The product of 4 and a number increased by 6 is 30. A. 4x – 6 = 30 B. 4x = 30 + 6 C

. 4x + 6 = 30 D. 4x + 30 = 6
Mathematics
1 answer:
Mila [183]3 years ago
4 0
The product of 4 and a number increased by 6 is 30 would be written like this;

4x + 6 = 30
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What's the probability of the compound event for. A bag contains 4 red, 8 blue, 6 yellow and 2 green marbles. Maria selects a ma
Nataly [62]

Given:

Number of red marbles = 4

Number of blue marbles = 8

Number of yellow marbles = 6

Number of green marbles = 2

To find:

The probability of getting a blue marble then a red marble, i.e., P(blue, red).

Solution:

Using the given information,

The total number of marbles = 4+8+6+2

                                                = 20

Probability of getting a blue marble in first draw is

P(Blue)=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}

P(Blue)=\dfrac{8}{20}

P(Blue)=\dfrac{2}{5}

Maria selects a marble, puts it back and then selects a second marble. It means the total number of marbles remains the same.

P(red)=\dfrac{\text{Number of red marbles}}{\text{Total number of marbles}}

P(red)=\dfrac{4}{20}

P(red)=\dfrac{1}{5}

Now, the probability of getting a blue marble then a red marble is

P(blue,red)=\dfrac{2}{5}\times \dfrac{1}{5}

P(blue,red)=\dfrac{2}{25}

Therefore, the required probability P(blue, red) is \dfrac{2}{25}.

5 0
2 years ago
What is the horizontal asymptote of the rational function f(x) = 3x / (2x - 1)?
-BARSIC- [3]

Answer:

Step-by-step explain

Find the horizontal asymptote for f(x)=(3x^2-1)/(2x-1) :

A rational function will have a horizontal asymptote of y=0 if the degree of the numerator is less than the degree of the denominator. It will have a horizontal asymptote of y=a_n/b_n if the degree of the numerator is the same as the degree of the denominator (where a_n,b_n are the leading coefficients of the numerator and denominator respectively when both are in standard form.)

If a rational function has a numerator of greater degree than the denominator, there will be no horizontal asymptote. However, if the degrees are 1 apart, there will be an oblique (slant) asymptote.

For the given function, there is no horizontal asymptote.

We can find the slant asymptote by using long division:

(3x^2-1)/(2x-1)=(2x-1)(3/2x+3/4-(1/4)/(2x-1))

The slant asymptote is y=3/2x+3/4

6 0
3 years ago
Read 2 more answers
If 5 songs can be downloaded for $6, what<br> is the cost of seven songs?
Svet_ta [14]

Answer:

7 songs costs $8.4

Step-by-step explanation:

6/5=  $1.2 for each song

1.2 times 7=  $8.4

7 songs costs $8.4

3 0
2 years ago
Help please question in picture
german

Answer:

220

Step-by-step explanation:

Area of square=8*20=160

Area of triangle=(6*20)/2=60

160+60

8 0
3 years ago
Read 2 more answers
Suppose the circumference of a circle is \color{blue}{16\pi}16πstart color blue, 16, pi, end color blue. what is its radius?
Sauron [17]
<span>The circumference of a circle is equal to its diameter multiplied by pi. Since the circumference here is 16*pi, the diameter of the circle is 16 units. The diameter of a circle is two times the radius, so we divide 16 in half and find our result that the radius is 8 units.</span>
3 0
3 years ago
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