86
Work out the size of angle x.
47°

Answer:

30x-6-6x-30

30x-30x-6-6

0-12

-12

Answer:

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope  

−

1

2

and a given point  

(

0

,

0

)

to substitute for  

x

1

and  

y

1

in the point-slope form  

y

−

y

1

=

m

(

x

−

x

1

)

, which is derived from the slope equation  

m

=

y

2

−

y

1

x

2

−

x

1

.

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

-8/5 - 6 = -54

-8x/5 - 6 = -54

-8x/5 −  6 +6 = -54 plus 6

Then Add the numbers and simplify

so then the answer would be x=30

Answer: x=30

Step-by-step explanation:

Answer:

[tex]x^{2}=27*30\\x^{2} = 810\\x=9\sqrt{10}[/tex]

Answer:

15

Step-by-step explanation:

Solve the problem backwards and it gives you the answer. Hope this helps

Answer:Since the expression on each side of the equation has the same denominator, the numerators must be equal.

x

2

=

16

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x

=

±

√

16

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

x

=

4

,

−

4

Exclude the solutions that do not make

x

2

x

−

4

=

16

x

−

4

true.

x

=

−

4

Step-by-step explanation:

Answer:

3.66666666667

Step-by-step explanatio

Answer:

4.

Step-by-step explanation:

1 is closer to 4 since onces you pass the ball to 3 it will go to four, and the number is 18.38ft but 5 is 24.50 ft

Step-by-step explanation:

First one on the left = Second one on the right

Second one on the left = First one on the right

Third one on the left = Third one on the right

Answer:

See Explanation

Step-by-step explanation:

Required

Write three equivalent ratios

To solve these questions, we do the following:

Whatever is being applied to a part of the ratio must be done on the other part

Solving (9):

[tex]Ratio = \frac{2}{7}[/tex]

Multiply through by 2

[tex]Ratio = \frac{2*2}{7*2} = \frac{4}{14}[/tex]

Multiply through by 3

[tex]Ratio = \frac{2*3}{7*3} = \frac{6}{21}[/tex]

Multiply through by 5

[tex]Ratio = \frac{2*5}{7*5} = \frac{10}{35}[/tex]

Hence, the equivalents are: [tex]\frac{4}{14}, \frac{6}{21}, \frac{10}{35}[/tex]

Solving (10):

Ratio = 1.5 to 3.5

Multiply by 2

[tex]Ratio = 1.5 * 2\ to\ 3.5 * 2[/tex]

[tex]Ratio = 3\ to\ 7[/tex]

Multiply by 3

[tex]Ratio = 1.5 * 3\ to\ 3.5 * 3[/tex]

[tex]Ratio = 4.5\ to\ 10.5[/tex]

Multiply by 4

[tex]Ratio = 1.5 * 4\ to\ 3.5 * 4[/tex]

[tex]Ratio = 6\ to\ 14[/tex]

Hence, the equivalents are:  3 to 7, 4.5 to 10.5 and 6 to 14

Solving (11):

Ratio = 6.25 to 1.25

Divide by 5

[tex]Ratio = 6.25/5\ to\ 1.25/5[/tex]

[tex]Ratio = 1.25\ to\ 0.25[/tex]

Multiply by 2

[tex]Ratio = 6.25*2\ to\ 1.25*2[/tex]

[tex]Ratio = 12.5\ to\ 2.5[/tex]

Multiply by 4

[tex]Ratio = 6.25*4\ to\ 1.25*4[/tex]

[tex]Ratio = 25\ to\ 5[/tex]

Hence, the equivalents are:  1.25 to 0.25, 12.5 to 2.5 and 25 to 5

Solving (12):

[tex]Ratio = 3 : 3\frac{1}{2}[/tex]

Multiply by 2

[tex]Ratio = 3 *2: 3\frac{1}{2}*2[/tex]

[tex]Ratio = 6: 7[/tex]

Multiply by 4

[tex]Ratio = 3 *4: 3\frac{1}{2}*4[/tex]

[tex]Ratio = 12: 14[/tex]

Multiply by 6

[tex]Ratio = 3 *6: 3\frac{1}{2}*6[/tex]

[tex]Ratio = 18: 21[/tex]

Hence, the equivalents are: 6:7, 12:14 and 18:21

Solving (13)

[tex]Ratio = 1\frac{2}{3} : \frac{5}{4}[/tex]

Convert mixed fraction to improper fraction

[tex]Ratio = \frac{5}{3} : \frac{5}{4}[/tex]

Multiply by 2

[tex]Ratio = \frac{5}{3}*2 : \frac{5}{4}*2[/tex]

[tex]Ratio = \frac{10}{3} : \frac{5}{2}[/tex]

Multiply by 3

[tex]Ratio = \frac{5}{3}*3 : \frac{5}{4}*3[/tex]

[tex]Ratio = 5 : \frac{15}{4}[/tex]

Multiply by 12

[tex]Ratio = \frac{5}{3}*12 : \frac{5}{4}*12[/tex]

[tex]Ratio = 20 : 15[/tex]

Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15

Answer:

372/12=31

31mpg

Step-by-step explanation:

Answer:

Answer:

4.625

Step-by-step explanation:

that is the answer

Answer:

(x-1)²/49 + (y+3)²/16.51 = 1

Step-by-step explanation:

vertex (8,-3)     Foci (6.7,-3)   center (h,k) = (1,-3) , major axis parallel to x axis

a  is the distance of the vertex from the center, and c   is the distance of the foci from the center. b is semi-minor axis

b² = a² - c²         Ellipse equation: (x-h)²/a² + (y-k)²/b² = 1

a = 8-1 = 7         c = 6.7 - 1 = 5.7

b² = 7² - 5.7² = 16.51

Ellipse equation:  (x-1)²/49 + (y- -3)²/16.51 = 1  i.e. (x-1)²/49 + (y+3)²/16.51 = 1

Answer:

maybe 9

Step-by-step explanation:

The answer would be 4 Coupons

Answer:

Percent is always out of 100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:

I believe its 3.75

Step-by-step explanation:

Answer:

$10

Step-by-step explanation:

6.25×60% = 3.75

3.75+6.25 = 10

$10

Answer: n=3

Step-by-step explanation:

Think about it 2*3-1. 2x3=6 then minus 1 equals 5.

Answer:

n=3 thats the answer your welcome

Answer:

The triple constraint represents the three constraints or inputs which control the project's capacity to produce.

The three components are Budget, time, and scope.

The relationship between them is an interdependent or triangular shape.

Step-by-step explanation:

The triple constraint represents the three constraints or inputs which control the project's capacity to produce. Budget, Scope and Time.

These 3 components are dependent to each other.

For example, if time is restricted then scope and budget will be affected. similarly.

The relationship between the three is that one of the two other components must decrease while one component increases for the project to succeed as expected.

Answer: $8.60

Step-by-step explanation:

Let the price of a bread = x

Let the price of a tarts = x - 1

If 3 times the price of a loaf of bread is $29.5 more than half of the price of a box of tarts. This can be represented as:

3 × x = 1/2 × (1 - x) + 29.5

3x = 0.5 - 0.5x + 29.5

3x + 0.5x = 29.5 + 0.5

3.5x = 30

x = 30/3.5

x = 8.6

Answer:

4 root 3

Step-by-step explanation:

formula of height equalitral triangle:

side/2 root 3:

side = 8

8/2*root 3

4 root 3

Answer: the awnser is B

Step-by-step explanation:

-30i + 52 - 30i

= 52 - 60i.

Here a is 52 and b is -60.

Answer: 3. 2

Step-by-step explanation:

Given the data:

3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77

Point estimate of population mean :

Σx / N

(3.12 + 2.45 + 4.0 + 3.76+ 3.54 + 2.78 + 3.39 + 3.21 + 1.98 + 3.43 + 3.98 + 2.77)

= 38.41 / 12

= 3.2008

Answer:

Number of boys = 675

Step-by-step explanation:

Given that:

There are 5 times as many boys as girls in a school.

Number of pupils in school = 810

Let,

x be the number of girls

y be the number of boys

According to given statement;

x+y=810      Eqn 1

y = 5x         Eqn 2

Putting y=5x in the Eqn 1

x+5x=810

6x=810

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{810}{6}\\x=135[/tex]

Putting x=135 in Eqn 2

y = 5(135)

y = 675

Hence,

Number of boys = 675

Answer: 120.7008 Kilometers per Hour

Step-by-step explanation:

(3a-7a+6)-(4a-3a+4)

(-4a+6)-(1a+4)

Add the remaining a's together, as well as the 6 and 4.

you get,

-3a+10