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3 years ago

Help me with question 4. and 5. for 100 points and brainlyest to the first answer

Mathematics

2 answers:

Afina-wow [57]3 years ago

8 0

#4 Answer: 1/10, 2/10, 3/10, 4/10, 5/10 (1/2), 6/10, 7/10, 8/10, 9/10, 1

#5 Answer: 1/4, 2/4, 3/4, 1, 1 1/4, 1 2/4, 1 3/4, 2

Hope this helped!! :)

konstantin123 [22]3 years ago

3 0

4.
1/10 1/5 3/10 2/5 1/2 3/5 (7/10) 4/5 9/10
5. (1/4) 1/2 3/4 (1) 1 1/4, 1 1/2, 1 3/4, (2)

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wolverine [178]

Answer:

Ivy is 6 years old and Rose is 12 years old.

Step-by-step explanation:

To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.

Ivy's age will be $x$

and Rose's age will be $y$

"Ivy is half as old as her sister":

$x=\frac{y}{2}$

this will be our fist equation.

"In six years, Ivy will be two-thirds as old as Rose"

in six years Ivy will have $x+6$ years, and Rose will have $y +6$ years, so for this sentence we have the equation:

$x+6=\frac{2}{3}(y+6)$

this will be our second equation.

Substituting the value of x from the first equation into the second, and solving for y(Rose):

$\frac{y}{2}+6=\frac{2}{3} (y+6)\\\frac{y+12}{2} =\frac{2}{3} (y+6)\\y+12=\frac{4}{3} (y+6)\\3(y+12)=4(y+6)\\3y+36=4y+24\\36-24=4y-3y\\12=y$

Rose is 12 years old.

and Ivy (using the fist equation):

$x=\frac{12}{2}=6$

Ivy is 6 years old.

6 0

4 years ago

When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was o

Roman55 [17]

Answer:

Option C.

Step-by-step explanation:

Given information:

Sample size = 150

Number of Opinions = 3 (Yes, No, No Opinion)

Yes = 40

No = 60

No opinion = 50

We need to find the expected frequency for each group.

Expected frequency for each group is the quotient of sample size and number of opinions.

$\text{Expected frequency for each group}=\dfrac{\text{Sample size}}{\text{Number of Opinions}}$

$\text{Expected frequency for each group}=\dfrac{150}{3}$

$\text{Expected frequency for each group}=50$

Therefore, the correct option is C.

6 0

3 years ago

Determine the kinetic energy of 8000 Newton’s roller coaster car that is moving with a speed of 20.0 meters/seconds

ohaa [14]

Answer:

The kinetic energy of the roller coaster is 1600000 J.

Step-by-step explanation:

Given:

Mass of the roller coaster is 8000 Newton's and speed 20.0 meters/seconds.

Now, we need to find the kinetic energy $E_{k}$ of the roller coaster.

So, Mass of roller coaster (m) = 8000 N.

Velocity of roller coaster (v) = 20.0 m/s.

Now, putting the formula of kinetic energy:

$E_{k} = \frac{1}{2}\times m\times v^{2}$

$E_{k}=\frac{1}{2} \times 8000\times 20^{2}$

$E_{k}=\frac{1}{2} \times 8000\times 400$

$E_{k}=\frac{1}{2} \times 3200000$

$E_{k}=1600000$

Therefore, the kinetic energy of the roller coaster is 1600000 J.

3 0

4 years ago

Solve the quadratic equation: 3x2 − 2x − 8 = 0

astra-53 [7]

Solutions

Factor 3x²−2x−8

1. Multiply 3 by -8, which is -24.

2. Ask: Which two numbers add up to -2 and multiply to -24?

3. Answer: 4 and -6

4. Rewrite −2x as the sum of 4x and −6x:

$3x^2+4x-6x-8=0$ 

Factor out common terms in the first two terms, then in the last two terms

$x(3x+4)-2(3x+4)=0

 
$

Factor out the common term 3x+4

 $(3x+4)(x-2)=0$

Solve for x

1. Ask: When will (3x+4)(x−2) equal zero?

2. Answer: When 3x+4=0 or x−2=0.

3. Solve each of the 2 equations above:

x = −4 / 3,2

8 0

4 years ago

Read 2 more answers

Please help. This is a question on my final exam.

GarryVolchara [31]

The best option here is option B.

6 0

3 years ago