The ratio of plates to cups is 10:14. If
there are 7 cups, how many plates
are there?
(Help)

Answer:

[tex] x = \frac{2*\sqrt{3}}{3} [/tex]

Step-by-step explanation:

Reference angle = 30°

Opposite side = x

Adjacent side = 2

Apply the tan trigonometric function, thus:

[tex] tan (30) = \frac{opp}{adj} [/tex]

[tex] tan (30) = \frac{x}{2} [/tex]

[tex] 2 * tan (30) = x [/tex]

[tex] 2 * \frac{1}{sqrt{3}} = x [/tex] (tan 30 = 1/√3)

[tex] \frac{2}{sqrt{3}} = x [/tex]

Rationalize

[tex] \frac{2* \sqrt{3}}{sqrt{3} * \sqrt{3}} = x [/tex]

[tex] \frac{2*\sqrt{3}}{3} = x [/tex]

9514 1404 393

Answer:

  c = 3

Step-by-step explanation:

In order for the function to be continuous at b=3, the left and right limits must be the same. In short, we must have ...

  c(3) +9 = c(3²) -9

  18 = 6c . . . . . . . . add 9-3c to both sides

  3 = c . . . . . . . . . . divide by 6

Function f is continuous when c=3.

Answer:

sorry

Step-by-step explanation:

I don't know ........

Answer:

8/55

Step-by-step explanation:

4/5 DIVIDED 5 1/2 = 8/55

Answer:

yes

Step-by-step explanation:

only like terms can be combined

Answer:

yes. If it's variables, then only like variables can be combined. If it's fractions, then they must be converted to a common denominator before combining.

Step-by-step explanation:

Answer:

The percentage change was of 11.73%.

Step-by-step explanation:

The percentage change of the increase is given by the change multiplied by 100 and divided by the initial value.

Price of £8.95 is increased to £10.

Change: 10 - 8.95 = 1.05

Initial price: 8.95

1.05*100/8.95 = 11.73%

The percentage change was of 11.73%.

Answer:

[tex]x = 30.7[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find x

To find x, we make use of:

[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

In this case, it is:

[tex]cos(36) = \frac{x}{38}[/tex]

Multiply both sides by 38

[tex]38 * cos(36) = \frac{x}{38}*38[/tex]

[tex]38 * cos(36) = x[/tex]

[tex]38 * 0.8090= x[/tex]

[tex]30.742= x[/tex]

[tex]x = 30.742[/tex]

[tex]x = 30.7[/tex] -- approximated

Answer:

Step-by-step explanation:

tax = 7% of $45.09 = 0.07×$45.09 ≅ $3.16

Total cost = $45.09 + $3.16 = $48.25

Answer:

1100

55100=1100 x 55100

=1100x

Step-by-step explanation:

Hope it is helpful...

The required value of unknown number a would be 2000.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

WE need to determine 55% of what number is 1100.

Let the unknown number is a. then we get;

55% of a = 1100

55/100 of a = 1100

55/100 x a = 1100

Cross mulitiplication, we get;

55a = 1100 x 100

55a = 110000

Divide by 55, we have;

a = 110000/ 55

a = 10000/ 5

a = 2000

Therefore, the required value of unknown number a would be 2000.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ5

[tex]\frac{4}{5}(4+y)[/tex]

Answer:

The movie ended at 4:15 PM

Step-by-step explanation:

=> It started at 2:30, when you add an hour to that it will become 3:30

=> Then you must add the 45 minutes to it

=> so it will be 3:75, however that is not a right answer and it is not logical

=> so you need to add the first 30 minutes which will give you 4:00

=> then add the rest which is 15 minutes

therefore, your answer is 4:15 PM

hope this helps and i hope it is not too confusing :)

Answer:

4:15

Step-by-step explanation:

Answer:

x = 42/17

y = -12/17

Step-by-step explanation:

4x - 3y = 12

3x + 2y = 6

use the elimination method (definition at the bottom of the page)

multiply both sides of the equation 4x - 3y = 12 by 2

8x - 6y = 24

multiply both sides of the equation 3x + 2y = 6 by 3

9x + 6y = 18

now, add the two equations:

17x = 42

x = 42/17

now, plug this into the equation 3x + 2y = 6

126/17 + 2y = 6

2y = -24/17

y = -12/17

Answer:

d. 6cm, 6cm, 6cm

Step-by-step explanation:

each one of the rulers is lined correctly and shows that it is 6 cm

Answer:

it is 1/2

Step-by-step explanation:

The product of a lines slope M and the slope K of a perpendicular is -1:

M*K=-1

This implies

K=-1/M

since

M * -1/M=-1

In our example we are given a line of slope M=-2 therefore the slope K of a line to perpendicular to this line is:

M*K=-1

-2*K=-1

K=-1/-2=1/2

Answer:

1.-179

2.68

3. 11

4. 25

5. -734

Answer:

Step-by-step explanation:

USE BOMDAS

do multiplication and brackets first

36+9+13X3

=45+39

=84

Answer:

The answer is y = 4x - 1.

Step-by-step explanation:

The answer is y = 4x - 1.

Step-by-step explanation:

☆The equation we'll be using: y = mx + b

☆Since we already have the slope. we have to find the y-intercept.

☆\begin{gathered}y = mx + b \\ \\ 7 = 4(2) + b \\ 7 = 8 + b \\ \frac{ - 8 = - 8 \: \: \: \: \: \: \: \: \: \: \: }{ - 1 = b \: \: \: \: \: \: \: \: \: \: } \end{gathered}

y=mx+b

7=4(2)+b

7=8+b

−1=b

−8=−8

Answer:

Step-by-step explanation:

x+3 1/2=9

x=9-7/2

x=(18-7)/2=11/2

x=5 1/2

Answer:

3 1/2 + 5 1/2= 9.

Step-by-step explanation:

Hope this helps? im sorry if it doesn't :)

Answer:

x = 115

z= 40

y = 140

Step-by-step explanation:

x = 180 - (40 +25) = 115

z = 180 - (115+25) = 40

y = 180 - (40) = 140

Answer:

This is your answer!!!

Step-by-step explanation:

I attached a pic.

Hope it helps!!!

Answer:

12 one fourths

Step-by-step explanation:

Answer:

12 one fourths

Step-by-step explanation:

There 3 × 1 1/4 = 3 × 4 = 12 one fourths in 3

Answer:

2.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

use the keep change change rule

13.75 - keep

  +     - change into minus

-11.25 - change into positive 11.25

Answer:

[tex]\frac{32}{3}[/tex]

Step-by-step explanation:

you simply multiply the bottom number times the whole number:

10*3 =30

then add the top number:

30+2=32

and finally, you put the 32/3

Answer:

51

Step-by-step explanation:

There are 14 movie theaters, and 3 exits each.

You can multiply 14 by 3 to get the number of exits in the movie theaters combined.

Next, the food area has 9, so you add 9 to the 42.

42 + 9 = 51.

Hope this helps!

Answer:

there are 51 exits

Step-by-step explanation:

Answer:

A.6.21

Step-by-step explanation:

A=2, b=-10, c=-5

Answer:

11.5x 4.5-8 wayy easier all you do is add and multiply

Answer:

56

Step-by-step explanation:

Range is difference between greatest and least. This is 97 - 41 = 56