(3 x 5) x 2 = 3 x ( blank x 2 )

solution given;

36:5/5

38:86/69

To divide fractions, you basically just multiply the first fraction by the reciprocal of the second. To find the reciprocal, you just flip the numerator and the denominator.

For number 36, you have 2/3÷8/15. To solve this, you just multiply 2/3 by 15/8.

2/3×15/8 is 30/24, which is 5/4 or 1 1/4.

To answer the second problem, you have to convert the mixed numbers to improper fractions.

7 1/6 as an improper fraction is 43/6. 5 3/4 as an improper fraction is 23/4.

Do the same procedure; 43/6×4/23 is 86/69 or 1 17/69.

Answer:

-1/2

Step-by-step explanation:

- arrange the equation in the y=mx+b form

2x + 4y =21, subtract 2x from both sides of the equation

4y= -2x +21 , divide both sides by 4

y= -1/2x +21/4

-compare the slopes m of the 2 equations

y= kx -12, has the slope k

y= -1/2x +21/4, has the slope -1/2

- If the lines are parallel then they have the same slope

Therefore, k= -1/2

Answer:

a₁₁ = 37

Step-by-step explanation:

There is a common difference between consecutive terms, that is

1 - (- 3) = 5 - 1 = 9 - 5 = 13 - 9 = 4

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 4 , then

a₁₁ = - 3 + (10 × 4) = - 3 + 40 = 37

Answer:

2/3

Step-by-step explanation:

10 / 3 * 1/5 = 2/3

Answer:

v =  sqrt(473)

Step-by-step explanation:

v^2 = u^2 +2as

Let u = 9 a = 7 and s = 28

v^2 = 9^2 +2(7)(28)

v^2 = 81 + 392

v^2 = 473

Take the square root of each side

sqrt(v^2) = sqrt(473)

v =  sqrt(473)

Answer:

see below

Step-by-step explanation:

-1/2 * (6x + 10) = 13

Distribute -1/2

–3x – 5 = 13

Add 5 to each side

-3x-5+5 = 13+5

–3x = 18

Divide each side by -3

-3x/-3 = 18/-3

x = -6

Complete question is;

Determine whether the experiment is blind or double blind.

Is the aspirin produced by the World’s Best Pharmaceutical Company better than that of a competitor at relieving headaches? 200 headache sufferers are chosen at random. Migrained Testing Service administers the experiment and provides the results evaluation. Three levels are made: participants receive contents from Bottle A, Bottle B, or Bottle C. Other than the fact that one bottle contains placebo aspirin, no other information is given to the testing service regarding the bottles’ contents.

a) blind study

b) double blind study

C) Neither

Answer:

Double blind study.

Step-by-step explanation:

We are told that participants receive contents from Bottle A, Bottle B, or Bottle C.

However, the testing service only knows that one bottle contains placebo aspirin but they don't know the other contents nor which of the participants is taking the one with placebo aspirin.

Thus, this is a double blind experiment because neither the participants nor the testing service have knowledge of who is taking the bottle that contains placebo aspirin unlike a blind experiment where the testing service will know which participants got the bottle containing aspirin.

Answer:

b

Step-by-step explanation:

The experimental probability that the number cube shows 4 is 2/7.

Experimental probability is a probability that is determined on the basis of a series of experiments.

Given that, a number cube is rolled 14 times, we need to determine the experimental probability that the number cube shows 4,

The formula to calculate the experimental probability is:

P(E) = Number of times an event occurs/Total number of times the experiment is conducted

P(E) = 4/14 = 2/7

Hence, the experimental probability that the number cube shows 4 is 2/7.

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Answer:

a. 5 + x = -5 (Subtraction) 0.

b. -17 + x = 0 (Addition) 17.

c. 30 + x = 0 (Subtraction) -30.

d. x + (-27) = 0 (Addition) 27.

e. x + (-30) = 0 (Addition) 30.

Step-by-step explanation:

In this exercise, students are required to match each equation with its solution. (The corresponding operations must be presented at the end of this point

a. 5 + x = -5 (Subtraction) 0.

x = -5 - 5

x = 0

b. -17 + x = 0 (Addition) 17.

x = 0 + 17

x = 17

c. 30 + x = 0 (Subtraction) -30.

x = 0 - 30

x = -30

d. x + (-27) = 0 (Addition) 27.

x - 27 = 0

x = 0 + 27

x = 27

e. x + (-30) = 0 (Addition) 30.

x - 30 = 0

x = 0 + 30

x = 30

Answer:

c) The golf ball will travel 260.8 yards.

d) Hence the residual is 4.2 yards.

Step-by-step explanation:

c) y' = 2.8333x - 22.4967

Now the golf ball will travel [tex]= 2.8333\times100 - 22.4967[/tex]= 260.8 yards

here y'= 260.8 yards.

d) The residual is : y - y' = 265 - 260.8 = 4.2 yards.

Answer:

a)  [tex]y=260.8333~yd[/tex]

b) [tex]\Delta d=4.1667~yd[/tex]

c) [tex]y=260~yd[/tex]

d) [tex]\Delta y'=0.8333~yd[/tex]

Step-by-step explanation:

Given:

equation of line, [tex]y=2.8333x-22.4967[/tex]

x = club-head speed​ (in miles per​ hour)

y = the distance a golf ball travels​ (in yards)

a)

x = 100 mph

Then the distance travelled by the ball:

(put the given value of x in the above eq.)

[tex]y=2.8333\times 100-22.4967[/tex]

[tex]y=260.8333~yd[/tex]

b)

If the observed distance in the above case comes out to be 265 yards then the residual value will be:

[tex]\Delta d=265-260.8333[/tex]

[tex]\Delta d=4.1667~yd[/tex]

c)

From the calculated value when rounding it to the nearest tenth:

[tex]y=260~yd[/tex]

d)

The residual on rounding the calculated value to the nearest tenth:

[tex]\Delta y'=260.8333-260[/tex]

[tex]\Delta y'=0.8333~yd[/tex]

The equivalent ratios are: (1, 2), (2, 4), and (3, 6)

The graph can be plotted on a coordinate grid as shown in the diagram attached below.

Recall:

Let x = number of books

y = cost (dollars)

Using any of the ordered pairs from the table, say, (7, 14), find k:

k = y/x = 14/7 = 2

Write the equation by plugging in the value of k into y = kx

y = 2x

Using the equation, y = 2x, find the equivalent ratios when x = 1, x = 2, and x = 3:

When x = 1:

y = 2(1) = 2 --> (1, 2)

When x = 2:

y = 2(2) = 4 ---> (2, 4)

When x = 3:

y = 2(3) = 6 ---> (3, 6)

The graph for the three equivalent ratios, (1, 2), (2, 4), and (3, 6) can be plotted on a coordinate grid as shown in the diagram attached below.

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Answer:

6 feet

Step-by-step explanation:

Gonna use the Pythagorean Theorem: a² + b² = c²

a² + 8² = 10²

a² + 64 = 100

Subtract both sides by 64

a² + 64 = 100

     -64     -64

a² = 36

Square root both sides

√a² = √36

a = 6 = length between bottom of the wall to the base of the ladder

Answer:

x = 15

Step-by-step explanation:

2x+10+4x+80=180

or, 2x+4x=180-80-10

or, 6x=90

or, x=15

Answered by GAUTHMATH

Answer:

how?

Step-by-step explanation:

I didnt get question

Answer: D

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

A line that intersects a circle in two points is called a secant line, and this is the case for both line DE and AE.

For two secant lines that intersect outside of the circle, such as the ones here, we can say that

CE * DE = BE * AE

Therefore, we need to then define these lines.

CE is x+4, BE is x+1, AE = (BE + AB) = 11+x+1 = 12+x, and DE = (CE + DC) = 1+x+4 = 5+x

We then have

(x+4) * (5+x) = (x+1) * (12+x)

expand

5x + x² + 20 + 4x = 12x+x²+12+x

x²+9x + 20 = x²+13x+12

Next, we want to congregate all values to one side so we can solve for x. This can be done by subtracting both sides by (x²+13x+12) to get

-4x + 8 = 0

subtract 8 from both sides to isolate the x and its coefficient

-4x = -8

divide both sides by -4 to isolate the x

x = 2

Answer:

D = kT

Step-by-step explanation:

Given the following data;

To write an equation for this relationship;

D = kT

Where;

In conclusion, the distance travelled by Anthony is directly proportional to the time taken to travel that distance i.e an increase in the distance would cause an increase in the time taken to travel that distance and vice-versa.

Answer:

5x less than 300  - 165

Step-by-step explanation:

It will take 27 days to take in animals without exceeding its occupy limit.

An expression which is made up of variables and constants , along with algebraic operation (addition , subtraction etc ) is called Algebraic expression.

According to the question :

165 + (x) 5 = 300

5x = 135

x = 27

Hence , it will take 27 days to occupy the limit

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Answer:

0.18

Step-by-step explanation:

Find the probability that both independent events occur by multiplying the individual probabilities by each other:

0.2(0.9)

= 0.18

So, the probability is 0.18

Answer:

Brooke = 1 hr 50 min

Lamont = 100 min = 1 hr 40 min

Because 60 min = 1 hr

Lamont was faster

Hope this helped

Answer:

10

Step-by-step explanation:

Answer:

use the distance formula to find the diameter of the circle.  From there, you can divide the diameter in half to find the radius of the circle

Step-by-step explanation:

so... the distance formula is...

d = [tex]\sqrt{(x_{2} - x_1)^{2}+(y_2 - y_1)^{2} }[/tex]

so...you just substitute the values into the equation

d = [tex]\sqrt{(-4-4)^2 + (-3-3)^2}[/tex]

d = [tex]\sqrt{64+36}[/tex]

d = 10

so...that means the diameter is 10

to find the radius you do 10/2 because radius is half of the diameter

so the radius is 5

hope that helps...that took so long to write out

Answer:

Hence the children who play outside are the Control group.

Step-by-step explanation:

Researchers want to ascertain if twiddling with a selected toy increases the verbal abilities of young children. One group of youngsters plays with the new toy for 4 hours every week for 4 weeks and is given a vocabulary test at the top of the experiment. the opposite group of matched pairs follows an equivalent schedule, but these children play outside rather than with the toy. the children who play outside are the Control group.

Here the One group of children who plays with the toy is considered an experimental group.

Answer:

The answer to the equation is C

Answer: B. (x - 1) (x - 4)

Concept:

Here, we need to know the idea of zeros.

The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

By definition, the factored form of quadratic equations is basically their zeros.

STEP ONE: Find the zeros / x-intercept of the graph

The grid number is 2 per grid as 5 grids are 10 units.

The first intercept is between the y-axis and the first grid.

The second intercept is on the second grid.

STEP TWO: Plug the zeros into factorization form

Factor form = (x - x₁) (x - x₂)

x₁ = (1, 0)

x₂ = (4, 0)

Factorization of x² - 5x + 4 = (x - 1) (x - 4)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Option A, √119

Step-by-step explanation:

Let the height be x foot

12^2=5^2+x^2

or, x = ±√119

since distance can't be negative, so it's x = √119

Answered by GAUTHMATH

Answer:

[tex]{ \tt{distance = speed \times time}} \\ { \tt{ = 56 \times 3 \frac{1}{2} }} \\ = { \tt{196 \: miles}}[/tex]

Answer:

-2/5 is the answer

I hope this will help you

Answer:

-2/5

Step-by-step explanation:

Just add the top numerator together -4 + 2 = -2

Answer:

I'm not sure

Step-by-step explanation:

I'll come back later to help