If the result of multiplying a number by 8/3 and then dividing the product by 7/2is 4/7,find the number.

Answer:

Step-by-step explanation:

each die has numbers 1-6 thus there are 36 (6*6) possible outcomes

a) 18 of the 36 are even = 1/2 = .5 = 50%

b) (1,2) and (2,1) are the only 3's 2/36 = 1/18 = .055

c) there are 10 combos that are LESS THAN 6 (2,3,4,5)

   10/36 = .277 = 27.7%

2 3 4 5 6 7

3 4 5 6 7 8

4 5 6 7 8 9

5 6 7 8 9 10

6 7 8 9 10 11

7 8 9 10 11 12

[tex]\displaystyle\Large \boldsymbol -2 \cdot \frac{3}{12} \cdot \frac{5}{10} \cdot \frac{7}{15} =-2 \cdot \frac{3 \!\!\!\!\diagup \cdot1}{3 \!\!\!\!\diagup\cdot 4} \cdot \frac{5 \!\!\!\!\diagup\cdot 1}{5 \!\!\!\!\diagup\cdot 2} \cdot \frac{7}{15} =\\\\\\-\frac{2 \!\!\!\!\diagup\cdot 7 }{2 \!\!\!\!\diagup\cdot 4 \cdot 15} =\boxed{-\frac{7}{60}}[/tex]

Answer:

x=0.5 or 1/2

Step-by-step explanation:

Answer:

Luis’s, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

Given:

7.2b + 6.5 > 4.8b – 8.1.

Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.

Amelia:

7.2b + 6.5 - 7.2b > 4.8b – 8.1 - 7.2b

6.5 > -2.4b - 8.1

Correct

Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.

7.2b + 6.5 - 4.8b > 4.8b – 8.1 - 4.8b

2.4b + 6.5 > -8.1

Incorrect

Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6

7.2b + 6.5 - 6.5 > 4.8b – 8.1 - 6.5

7.2b > 4.8b - 14.6

Correct

Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.

7.2b + 6.5 + 8.1 > 4.8b – 8.1 + 8.1

7.2b + 14.6 > 4.8b

Correct

Answer:

It's an identity

Step-by-step explanation:

The answer is an identity

I identity are composed by sin^2 and cos^2

Tan^2 can be simplified into those two sin n cos

it's a 90 degree counterclockwise rotation around the origin (0,0).

see the screenshot for illustration

Answer:

B.

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

Line that's perpendicular to y=49 should be a vertical line of the form x=a

Now the line passes through (12,35) so the equation of the line is,

x=12

Answered by GAUTHMATH

Answer:

x = 42.5

Step-by-step explanation:

A triangle inscribed inside of a circle using the diameter of the circle as it's hypotenuse is a right triangle ( a 90 degree triangle ) where the angle opposite of the hypotenuse is the 90 degree angle ( angle C )

Hence angle C = 90

If angle C = 2x + 5

Then 2x + 5 = 90

Notice that we just created an equation that we can use to solve for x

We now solve for x algebraically

2x + 5 = 90

Step 1 subtract 5 from both sides

2x + 5 - 5 = 90 - 5

Outcome: 2x = 85

Step 2 divide both sides by 2

2x/2 = 85/2

Outcome: x = 42.5

Answer:

{x| x = -7, -6, 2, 11, 3}

Step-by-step explanation:

domain of a relation is the set of values of that act as input

so answer:-

{x| x = -7, -6, 2, 11, 3}

domain is taken as x

Answer:

EXPLAINED ON THE ATTACHED

Answer:

475 students, 125 adults

Step-by-step explanation:

x + y= 600......equation 1

5x +9y= 3500.......equation 2

From equation 1

x +y = 600

x= 600-y

Substitute 600-y for x in equation 2

5(600-y) +9y= 3500

3000-5y+9y= 3500

3000+4y= 3500

4y= 3500-3000

4y= 500

y= 500/4

y= 125

Substitute 125 for y in equation 1

x + y= 600

x + 125= 600

x = 600-125

x= 475

Hence there are 475 students and 125 adults

Answer:

cuadradas 777,2 unidades

Step-by-step explanation:

Answer:

67.7

Step-by-step explanation:

i just took the quiz

Answer:

Simplify the expression.

36a to the power of 7 then - 156a to the power of 4 then -15a to the power of3

Answer:

4:1

Step-by-step explanation:

The equation will be:

25 + d = t

where t is total money

Given:

A line passes through the points (-1, -1) and (5,8).

To find:

Which points lie on the same line?

Solution:

If a line passes through two points, then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

A line passes through the points (-1, -1) and (5,8). So, the equation of the line is:

[tex]y-(-1)=\dfrac{8-(-1)}{5-(-1)}(x-(-1))[/tex]

[tex]y+1=\dfrac{8+1}{5+1}(x+1)[/tex]

[tex]y+1=\dfrac{9}{6}(x+1)[/tex]

[tex]y+1=\dfrac{3}{2}(x+1)[/tex]

Multiply both sides by 2.

[tex]2(y+1)=3(x+1)[/tex]

[tex]2y+2=3x+3[/tex]

[tex]2y=3x+3-2[/tex]

[tex]y=\dfrac{3}{2}x+\dfrac{1}{2}[/tex]

So, the equation of the line is [tex]y=\dfrac{3}{2}x+\dfrac{1}{2}[/tex].

Now, check each point for this equation.

Putting [tex]x=-3[/tex], we get

[tex]y=\dfrac{3}{2}(-3)+\dfrac{1}{2}[/tex]

[tex]y=\dfrac{-9+1}{2}[/tex]

[tex]y=\dfrac{-8}{2}[/tex]

[tex]y=-4[/tex]

Similarly,

For [tex]x=9,y=15[/tex].

For [tex]x=1,y=2[/tex].

For [tex]x=4,y=6.5[/tex].

For [tex]x=3,y=5[/tex].

For [tex]x=-2,y=-2.5[/tex].

Therefore, the points (-3,-4), (9,14), (1,2) and (3,5) lie on the same line but the points (4,7) and (-2,-2) are not on that line.

Answer:

Answer:

[tex]67.20\%[/tex]

Step-by-step explanation:

Given

[tex]n =2430[/tex] --- sample

[tex]r = 16.72\%[/tex] --- degeneration rate

From the findings, we have:

[tex]p = 377[/tex] --- tested positive

[tex]t =561[/tex] --- total test

Required

The positive predicted value (PPV)

This is calculated using:

[tex]PPV=\frac{Positive}{Total}[/tex]

i.e.

[tex]PPV = \frac{377}{561}[/tex]

[tex]PPV = 0.6720[/tex]

Express as percentage

[tex]PPV = 0.6720 * 100\%[/tex]

[tex]PPV = 67.20[/tex]

Answer:

height ≈ 30 ft

Step-by-step explanation:

The situation is modelled by a right triangle.

let h be the height of the totem pole, then

tan50.1° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{25}[/tex] ( multiply both sides by 25 )

25 × tan50.1° = h , then

h ≈ 30 ft ( to the nearest foot )

Answer:

IK≅WY

Step-by-step explanation:

Answer:

We know that the expression that models the situation is:

45 - n

Where n is the amount that she lost.

We know that she lost $3 for each hour closed.

And the shop was 8 hours closed, so the total loss is:

8*$3 = $24

The profit is the difference between the revenue (we know that it is $45) and the loss (we know that it is $24)

Then the profit is:

$45 - $24 = $21

Answer:

a. 42

b. -12x-5

c. -60

d. -75

e. 66

f. -90

g. 144

h. -135

Answer:

93.2°

Step-by-step explanation:

[tex]\frac{sin(38)}{9} = \frac{sin(c)}{11}[/tex]  ... c =48.8

a =180-(38+48.8) = 93.2

Answer:

20 minutes on the stationary bike

10 minutes on the treadmill

Step-by-step explanation:

x = minutes on bike

y = minutes on treadmill

x + y = 30

12x + 15y = 390

x = 30-y

12(30-y) + 15y = 390

360 - 12y + 15y = 390

3y = 30

y = 10

x + 10 = 30

x = 20

Answer:

$843.67

Step-by-step explanation:

We can use a proportion to solve this problem:

12 : 100 = x : 896

x =(896 * 12)/100 = $107,52

896 - 107.52 = $788,48 (price of the computer after the discount)

7 : 100 = x : 788,48

x = (788,48 * 7)/100 = $55,1936

788.48 + 55,1936 = 843,6736 = $843.67 (final price)

Answer:

2

Step-by-step explanation:

→ The radius of a circle is square root the 4

2

Answer : I think it is 10899

Answer:

45 x 56=

2520 and

5 x 7=35*8=280*9=2520

2520=2520

Hope This Helps!!!