Use the associative property
write an equivalent expression.
(5 + 7) + x =

Answer:

O 4th option : (-4, -2)

Step-by-step explanation:

⇒ 9x - 9y = -18

⇒ -6x + 9y = 6

⇒ (x , y)

⇒ (-4, -2)

Answer:

(-4, -2)

Step-by-step explanation:

When using the elimination method, we combine the equations to get one. To combine them, we have to find a term with a number that is either positive or negative to the other, example : -6y and 6y, or 4x and -4x. We then take them and combine both equations to get one. Becuase they are the same, they simply cancel each other out.

9x - 9y = -18

-6x + 9y = 6

3x = -12

Divide both sides by 3 to get x alone

x = -4

Now, to find the y value, we can now plug in what we found for x.

9(-4) - 9y = -18

-36 - 9y = -18

Add 36

-9y = 18

Divide by -9

y = -2

Therefore making the solution, (-4, -2)

Answer: 49.8

Step-by-step explanation:

Answer:

[tex]x=\frac{1}{3}[/tex]

Step-by-step explanation:

You cross multiply the x under 3 and multiply it by 9;

[tex]3=9x[/tex]

Divide both sides by 9;

[tex]\frac{3}{9} =x[/tex]

3/9 can also be called 1/3;

[tex]x=\frac{1}{3}[/tex]

Hope This Helps! :)

The third option is right. Raman rode 3miles/hr slower than Hector

Step-by-step explanation: Distance covered by Raman is 45miles In 3hours., his speed is 15miles/hr

Raman: 45=15×3 (45miles in 3hrs)

Hector: y=18× (54miles In 3hrs)

Distance = speed ×time

Answer:

its the fourth one g(x)=-⅔x+4

Step-by-step explanation:

the incline of the graph is down , and the point the graph meets y axis is +4

Answer:nits c

Step-by-step explanation:

The year the model would most likely  be sufficient to make a prediction of the population is 2005.

The model of the population is an exponential function. An exponential function usually has the form: [tex]ab^{x}[/tex]. An exponential function is usually most accurate when the time horizon of prediction is the shortest. Based on the options, the shortest time after 2000 is 2005.

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How fast the volume of the sphere is changing when the surface area is 10 square centimeters is it is increasing at a rate of 30 cm³/s.

To solve the question, we need to know the volume of a sphere

The volume of a sphere V = 4πr³/3 where r = radius of sphere.

To find the how fast the volume of the sphere is changing, we find rate of change of volume of the sphere. Thus, we differentiate its volume with respect to time.

So, dV/dt = d(4πr³/3)/dt

= d(4πr³/3)/dr × dr/dt

= 4πr²dr/dt where

Given that

Substituting the values of the variables into the equation, we have

dV/dt = 4πr²dr/dt

dV/dt = 10 cm² × 3 cm/s

dV/dt = 30 cm³/s

So, how fast the volume of the sphere is changing when the surface area is 10 square centimeters is it is increasing at a rate of 30 cm³/s.

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The length of arc PS from the information given in the task content is; 31.5 ft.

It follows from the task content that;

On this note, the length of arc PS is;

arc PS = (164/360) × 2 × 3.14 × 11.

arc PS = 31.5ft.

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Answer:

8.5%

Step-by-step explanation:

8.5% of 94 is 7.99 which is closest we can get round to the nearest tenth of a percent.

Answer:

She will need $10000 in financial aid

Step-by-step explanation:

Step 1:  Determine the money in 4 yeras

$250 a month * (4 years * 12 months per year)

$250 a month * (48 months)

$12000

Step 2:  Determine the total amount

$50000 + $12000

$62000

Step 3:  Determine the difference

$72000 - $62000

$10000

Answer:  She will need $10000 in financial aid

Answer:

She will need $10000 in financial aid

Step-by-step explanation:

Step 1:  Determine the money in 4 yeras

$250 a month * (4 years * 12 months per year)

$250 a month * (48 months)

$12000

$50000 + $12000

$62000

Step 3:  Determine the difference

$72000 - $62000

$10000

Answer:  She will need $10000 in financial aid

Answer:

7.50x + 12.50y = 300

Step-by-step explanation:

Answer:

[tex]1 \2 (7 + 12)6 \\ 1 \2(19)6 \\ 114 \times 1 \2 = 72[/tex]

so therefore area is 72cm²

Answer:

n = -9

Step-by-step explanation:

4(0.5n − 3) = n − 0.25(12 − 8n)

2n - 12 = n - 3 + 2n

2n - 12 = 3n - 3

2n - 3n =  - 3 +12

-1n  = 9

n = -9

Answer:

20

Step-by-step explanation:

To evaluate the expression for a= 3, replace (or 'substitute') every 'a' you see with a '3' in the expression.

Given expression: 32 -4a

When a= 3,

32 -4a

= 32 -4(3)

= 32 -12

= 20

Answer:

Step-by-step explanation:

In the question we're given with an expression that is 32 - 4a , value of a is 3 . And we are asked to evaluate the expression for a = 3 .

Solution : -

[tex] \longmapsto \: 32 - 4a[/tex]

Step 1 : Substituting value of a in given expression :

[tex] \longmapsto \:32 - 4(3)[/tex]

Step 2 : Multiplying 4 with 3 :

[tex] \longmapsto \:32 - 12[/tex]

Step 3 : Subtracting 12 from 32 :

[tex] \longmapsto \: \red{\boxed{ \frak{20}}}[/tex]

Answer:

Mean=30

Median=30.5

Mode=None

Range=11

Step-by-step explanation:

The mean is all the numbers added together then divided by how many numberes there are.

24+28+33+35=120

120/4=30

Median is the the middle of the data set when arranged least to greatest. Since its a even number the median will consist of two numbers. 28 and 33

28+33=61

61/2=30.5

Mode is the number most seen in the data set. Theyre all seen once so no mode

Range is the highest value subtracted from the lowest.

24-35=11

Sequence: 1, 3, 6, 10, 15, …

If sequence is arithmetic, [tex]\boxed{\sf \bold{second \ term = \dfrac{first \ term+third \ term}{2} }}[/tex]

If sequence is geometric, [tex]\boxed{\sf \bold{second \ term = \sqrt{first \ term \ * \ third \ term} }}[/tex]

Check for arithmetic:

[tex]\sf \rightarrow 3 = \dfrac{1+6}{2}[/tex]

[tex]\sf \rightarrow 3 =3.5[/tex]    Hence, the sequence is not arithmetic

Check for geometric:

[tex]\sf \rightarrow 3 = \sqrt{1*6}[/tex]

[tex]\sf \rightarrow 3 = \sqrt{6}[/tex]   Hence, the sequence is not geometric

Solution:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]

[tex] \textsf{and} [/tex]

[tex]\textsf{Since neither common difference is same, }[/tex] [tex]\textsf{nor common ratio is same, therefore }[/tex] [tex] \textsf{we can infer that it's neither an Arithmetic progression} [/tex] [tex] \textsf{nor Geometric progression. } [/tex]

Hope it helps ~

Answer:

see the explanation

Step-by-step explanation:

the half-circle is a function because there is only one x value for each y value

the full circle is a relation becaue he circle intersects the y-axis at 1 and -1

Answer:

For the second one:

Domain: -2≤x≤2

Range: -2≤y≤2

The relation is not a function

Step-by-step explanation:

Answer:

96 degress letter G

Step-by-step explanation:

S'(4, -2) and T'(1, -1) and U'(-1, -3) and V'(2, -5)

[tex]Find\ the\ coordinates\ of\ the\ point\ after\ reflected\ in\ the\ line\ of\ symmetry:\\ \downarrow\\ S'(-4,-2)\ and\ T'(1,-1)\ and\ U'(-1,-3)\ and\ V'(2,-5)[/tex]

I hope this helps you

:)

Answer:

  3/8

Step-by-step explanation:

A ratio is expressed in lowest terms by removing common factors from numerator and denominator.

  [tex]\dfrac{2.7\text{ hr}}{7.2\text{ hr}}=\dfrac{3\cdot0.9\text{ hr}}{8\cdot0.9\text{ hr}}=\boxed{\dfrac{3}{8}}[/tex]

The cost of each pizza is $12.50 while the cost of each drink is $1.99.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the cost of each pizza and y the cost of each drink. Hence:

3x + 5y = 47.45  (1)

Also:

4x + 8y = 65.92  (2)

From both equations:

x = 12.5, y = 1.99

The cost of each pizza is $12.50 while the cost of each drink is $1.99.

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Answer:

x - 6y - 2 = 0

Step-by-step explanation:

Let “m” be the slope of line AB

and “a” be the slope of the line that passes through C and is perpendicular to AB

Then

[tex]m = \frac{6-0}{1-2} =-6[/tex]

The second line is perpendicular to AB

then

m × a = -1

then

-6 × a = -1

then

[tex]a=\frac{1}{6}[/tex]

C(2,0) lies on the line of equation y=ax+b

⇔ C(2,0) lies on the line of equation y=(1/6)x+b

⇔ 0 = (1/6)×2 + b

Then b= -1/3

Therefore Our equation is :

y = (1/6)x - 1/3

⇔ 6y = x - 2

⇔ x - 6y - 2 = 0

Answer:

(x - 3)^2 + (y - 2)^2 = 4^2

Step-by-step explanation:

Looking at the graph its obviously a circle as it said.

We have to find (h,k) and the radius of that circle.

(h, k)  = (3,2)

Origin to the edge of the A.

radius = 4

(x - 3)^2 + (y - 2)^2 = 4^2

Answer:

y = 5

Step-by-step explanation:

y = mx + c

y = 0x + 5

y = 5

This gives a flat line where y is always 5

Answer:

1cm=20km

multiply both sides by 9

you get

9cm=20x9km

9cm=180km

Answer:

p<15/2

Step-by-step explanation:

p<(25+5)/4

p<30/4

p<15/2