8. The product of 5, and 3 more than twice a number,<br> is 85. What is the number?

Rashad draws a figure and divides it into equal parts. Two of the parta are red. The other 4 parts are blue. Rashad saya that 2/

Juliette [100K]

Let
x--------------> the complete figure
we know that
the figure is divided into 6 equal parts
x= (x/6)+(x/6)+(x/6)+(x/6)+(x/6)+(x/6)
red=(x/6)+(x/6)--------> red=(2x/6)=x/3
blue=(x/6)+(x/6)+(x/6)+(x/6)=(4x/6)=2x/3

Rashad say that 2/4 of the figure is red-------> Rashad is wrong
because (2/4) <span>It is half of the figure

</span>the correct thing is to say (1/3) o the figure is red and (2/3) of the figure is blue

3 0

3 years ago

Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two

Scrat [10]

The probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

<h3>What is probability?</h3>

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As, the probability of an event can not be more than the number 1.

Thus, the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,

The data in the theoretical probability table for the fair spinner having 4 different color is listed below.

Yellow Frequency

0 9

1 6

2 1

For the 4 different color (red, green, blue, yellow) and rotating the spinner two times, there is total 16 outcomes as,

{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}

Total number of Y appear probability at one time in the table is 6. Thus the probability of the fair spinner landing only once on yellow in two spins is,

$P=\dfrac{6}{16}\\P=0.375$

Hence, the probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

Learn more about the probability here;

brainly.com/question/24756209

3 0

3 years ago

2/5% as a fraction in it's simplest form

Llana [10]

Answer:

Here is the ans...hope it helps:)

4 0

2 years ago

Given that (ax^2 + bx + 3) (x + d) = x^3 + 6x^2 + 11x + 12<br> a + 2b - d = ?

Mariulka [41]

Answer:

Let's solve for a.

(ax2+bx+3)(x+d)=x3+6x2+11x+12a+2b−d

Step 1: Add -12a to both sides.

adx2+ax3+bdx+bx2+3d+3x+−12a=x3+6x2+12a+2b−d+11x+−12a

adx2+ax3+bdx+bx2−12a+3d+3x=x3+6x2+2b−d+11x

Step 2: Add -bdx to both sides.

adx2+ax3+bdx+bx2−12a+3d+3x+−bdx=x3+6x2+2b−d+11x+−bdx

adx2+ax3+bx2−12a+3d+3x=−bdx+x3+6x2+2b−d+11x

Step 3: Add -bx^2 to both sides.

adx2+ax3+bx2−12a+3d+3x+−bx2=−bdx+x3+6x2+2b−d+11x+−bx2

adx2+ax3−12a+3d+3x=−bdx−bx2+x3+6x2+2b−d+11x

Step 4: Add -3d to both sides.

adx2+ax3−12a+3d+3x+−3d=−bdx−bx2+x3+6x2+2b−d+11x+−3d

adx2+ax3−12a+3x=−bdx−bx2+x3+6x2+2b−4d+11x

Step 5: Add -3x to both sides.

adx2+ax3−12a+3x+−3x=−bdx−bx2+x3+6x2+2b−4d+11x+−3x

adx2+ax3−12a=−bdx−bx2+x3+6x2+2b−4d+8x

Step 6: Factor out variable a.

a(dx2+x3−12)=−bdx−bx2+x3+6x2+2b−4d+8x

Step 7: Divide both sides by dx^2+x^3-12.

a(dx2+x3−12)

dx2+x3−12

=

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

a=

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

Answer:

a=

−bdx−bx2+x3+6x2+2b−4d+8x/

dx2+x3−12

Step-by-step explanation:

8 0

3 years ago

Determain the equation, in slope intercept form, of the line of the line that has a slope of -6 and passes through the point P(-

Vinil7 [7]

Answer:

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -6

(-3, 2) ⇒ x₀ = -3, y₀ = 2

The point-slope form of the equation:

y - 2 = -6(x + 3)

So:

y - 2 = -6x - 18 {add 2 to both sides}

y = -6x - 16 ← the slope-intercept form of the equation

5 0

3 years ago

8. The product of 5, and 3 more than twice a number, is 85. What is the number?