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Answer: a = -75

Step-by-step explanation:

i just multiplied both sides by 5, in order to get "a" by itself.

-75 = a

then, just for kicks, we switch it around so that the variable is in front.

a = -75

Answer: 47

Step-by-step explanation:

we simply substitute g for 7 and h for 5.

8(5) + 7

40 + 7

47

Answer:

yes

Step-by-step explanation:

0-10 is obvious because when you look at the chart you can clearly see that theres alot kidsof

Answer: C.)2,762.50

Step-by-step explanation:

The bank is paying a simple interest of 5.25%.

After 2 years, Grace's account will have:

Simple interest:

= Principal * ( 1 + rate * years)

= 2,500 * ( 1 + 5.25% * 2)

= $‭2,762.50‬

Answer:

The answer is "[tex]\bold{\frac{2 \pi}{3}}[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

Using formula:

[tex]\to \bold{\theta = \frac{S}{r}}[/tex]

Where,

[tex]\theta =central \ angle \\\\{S} = arc \ length\\\\{r} = radius \ length[/tex]

[tex]\to \theta = \frac{PQ }{OQ}[/tex]

       [tex]=\frac{6 \pi}{9} \\\\ = \frac{2 \pi}{3}[/tex]

The radian measure of central angle POQ is 3π/4 radians. Option b) is the correct option.

Line segments PO and QO are radii.

We need to find the radian measure of central angle POQ.

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

The superscript 'c' shows angle measured is in radians.

If the radius of the circle is of r units, then:

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

We know that

π radians = 180°

Therefore,

180° = π radians

135° = x

180° × x = 135° × π radians

x = 135° × π radians/180

x = 3π/4 radians

Hence, the radian measure of central angle POQ is 3π/4 radians. Option b) is the correct option.

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Answer:

b

Step-by-step explanation:

Step-by-step explanation:

second option

0.30256

it's got 5 in ten thousandths place.

have a great day :)

Answer: -3x+7

Step-by-step explanation: Good luck! :D

Answer:

-3x+7

Step-by-step explanation:

(5x-8x)+(2+5) Like terms together

(-3)x+7 Combine within each group

-3x+7 Simplify the signs in the product

-3x+7 Is your answer

Hope that helps :)

Answer:

3(2+5)−5(3)+8=14

Step-by-step explanation:

Write the problem as a mathematical expression.

=>3(2+5)−5⋅3+8

Simplify each term.

=>21−15+8 = 14

Answer:

We need to remove 3 points from 3 duplicated pairs so this graph  so that it will be a function.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From the graph, we can determine the table such as:

x            y

-3           2

-3           3

1             4

1            -4

2           -2

2            -4

It is clear that the values of x = -3, x = 1, and x = 2 are repeated twice.

In other words, there are 3 duplicated pairs.

We know that we can not have duplicated inputs as there should be only 1 output for each input.

Thus, we need to remove 3 points from 3 duplicated pairs so this graph  so that it will be a function.

Answer:

[tex]73\:\mathrm{dimes},\\35\:\mathrm{nickels}[/tex]

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}10d+5n=905,\\d+n=108,\\\end{cases}[/tex], where [tex]d[/tex] is the number of dimes she has and [tex]n[/tex] is the number of nickels she has.

Multiply the second equation by [tex]-5[/tex] and add both equations to solve for [tex]d[/tex]:

[tex]\begin{cases}10d+5n=905,\\-5d-5n=-540,\\\end{cases}\\5d=365,\\d=\fbox{$73$}[/tex].

Plug [tex]d=73[/tex] into any equation to solve for [tex]n[/tex]:

[tex]73+n=108, \\n=\fbox{$35$}[/tex]

There are 73 dimes and 35 nickels.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Ashley has $9.05 in dimes and nickels. If she has a total of 108 coins,

dime = 10

A nickel = 5

We can write the following system of equations;

10D + 5N = 905

N + D = 108 coins

where D is the number of dimes she has and  N is the number of nickels she has.

Multiply the second equation by -5  and add both equations to solve for :

10D + 5N = 905

-5N -5 D = -540 coins

Use the Distributive Property:

Add the like terms:

5D = 365

Divide both sides by 5

D = 73

Plug  D into any equation to solve for N

Nickels = 108 - 73 = 35

There are 73 dimes and 35 nickels.

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Answer:

2 1/3 cm

Step-by-step explanation:

Area = length x width

w = width

7/3 = 6/5w

cross-multiply: 30w = 70

w = 7/3 or 2 1/3

Hey there!

The perimeter of the floor plan is 30 inches.

Perimeter is length + length + width + width, so we can do 9 + 9 + 6 + 6 = 30

The area of the floor plan is 54 inches²

Area is length x width, so we can do 9 x 6 = 54

The perimeter of the actual size is 105 feet

First, we can solve the dimensions for the actual size. We know that 2 inches = 7 feet, so we can do 7/2 and get 3.5. This means that for every 1 inch, it's 3.5 feet. Then, we multiply the dimensions by 3.5:

9 x 3.5 = 31.5 feet

6 x 3.5 = 21 feet

Then we solve for perimeter. Perimeter is length + length + width + width, so we can do 31.5 + 31.5 + 21 + 21 = 105

The area of the actual size is 661.5 inches²

Area is length x width, so we can do 31.5 x 21 = 661.5

Hope this helps! Tell me if you need more help.

Answer:

the value of -6 is -6

Step-by-step explanation:

Answer:

The 2 angles are supplementary.  This means they have to add up to 180 degrees.  The first angle is 8x and the second is x+27.  So set both of them equal to 180.

8x + x + 27 = 180

9x = 153

x = 17

Angle 1 = 8(17) = 136

Angle 2 = (17) + 27 = 44

Check: Angle 1 + Angle 2 = 180

136 + 44 = 180

Step-by-step explanation:

Answer:

really easy its 180

Step-by-step explanation:

because you multiply 30 times 6 u get 180

Answer:

5.2 ft

Step-by-step explanation:

[tex] \cos 30 \degree = \frac{6}{length \: of \: platform} \\ \\ \frac{ \sqrt{3} }{2} = \frac{6}{length \: of \: platform} \\ \\ length \: of \: platform = \frac{2 \times 6}{ \sqrt{3} } \\ \\ length \: of \: platform = \frac{12\sqrt{3} }{ 3} \\ \\ length \: of \: platform =4 \sqrt{3} \\ \\ length \: of \: platform =4 \times 1.732 \\ \\ length \: of \: platform = 5.228 \\ \\ length \: of \: platform = 5.2 \: ft[/tex]

Answer:

The value of n is 2.

Step-by-step explanation:

The total number of people in the choir = 60

Number of  women in the choir = 30

Let the number of men in the choir be represented by x, so that;

Number of women = 3x

So that;

3x = 30

x = [tex]\frac{30}{3}[/tex]

 = 10

The number of men in the choir is 10.

the number of children in the choir: the number of men in the choir = n:1

number of children in the choir = 60 - (number of women + number of men)

                                                    = 60 - 40

                                                    = 20

number of children in the choir = 20

Thus,

the number of children in the choir: the number of men in the choir = 20:10

                                                            = 2:1

The value of n is 2.

Answer:

20 men in the choir and 40 children

Step-by-step explanation:

Answer:

angles FGM and MCD, angles DCM and DMC

Step-by-step explanation:

Answer:

angles FGM and MCD, angles DCM and DMC

Step-by-step explanation:

Step-by-step explanation:

ahhhhhhhhhhhhhhhhhhhhh

Answer:

13.5

Step-by-step explanation:

look at the bottom and line it up to the top

Answer:

b = 43

Step-by-step explanation:

So let's plug things in first:

y= 2x - 20 and y= -5x +b which can become →

2x - 20 = -5x + b (now you said that x=9 so let's plug that in)

2(9) -20 = -5(9) + b (now try solving that)

18 -20 = -45 + b → -2 = -45 + b ( so then add 45 to both sides)

43 = b ( and there's your answer )

Answer:

the ans is 6 sides i guess

[tex]\huge\sf{Answer :- }[/tex]

Interior angle of the polygon = [180(n - 2)]/n

where,

Let, The number of sides of polygon be n

➯ [180(n - 2)]/n = 120°

➯ 180n - 360 = 120n

➯ 180n - 120n = 360

➯ 60n = 360

➯ n = 360/60

➠ n = 6

Answer:

How are we supposed to know what X is

Step-by-step explanation:

This doesn't make sense emphasize more

Answer:x=23 because 23-4=19 which equals to one side of the triangle

Step-by-step explanation:

Uhmm I got it right :D

Answer:

E

Step-by-step explanation:

"If the expression has exponents or square roots, they are to be performed after parentheses and other grouping symbols have been simplified and before any multiplication, division, subtraction and addition that are outside the parentheses."

Answer:

a) 7/18

I hope this helps!

Answer:

The correct answer is D: 5x3 + 11x5 ft

Step-by-step explanation:

Answer:

The correct answer is D: 5x3 + 11x5 ft

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 : 3 : : 4: x

Multiply 1 and x and multiply 3 and 4

x = 12

Answer:

Solve for x over the real numbers:

abs(x) = 3

Hint: | Eliminate the absolute value.

Split the equation into two possible cases:

Answer: x = 3 or x = -3

Step-by-step explanation: