Combine like terms to write an equivalent expression. Then use y = 5 to prove the expressions are equivalent. 1 + y + y + y + 1 Complete the statements.
The equivalent expression is . The value of both expressions when y = 5 is . The expressions are .

Answer:

[tex]1.357*10^4[/tex]

Step-by-step explanation:

A star is 2.3 x 10^2 light years away

We know that one light year is about 5.9 x 10^12 miles away

So, we know the star is 2.3 x 10 ^2 x 5.9 x 10^12 = 13.57 x 10^14 = 1.357 x 10^14

Hope this helps :)

Have a nice day!

The Native American population in state A and B is 282,000 and 94,000 respectively.

Here, we are given that State A's population of Native Americans is three times the Native American population of State B.

Let the Native American population in state B be x

Thus, the Native American population in state A will be 3x

Total Native American population in state A and B = 376,000

Thus, we can get the following equation-

x + 3x = 376,000

4x = 376,000

x = 376,000/ 4

x = 94,000

⇒ 3x = 3 × 94,000

3x = 282,000

Thus, the Native American population in state A and B is 282,000 and 94,000 respectively.

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Answer:

Actually, there are two. They are the Parallelogram Opposite Sides Theorem and the Parallelogram Opposite Angles Theorem.

Step-by-step explanation:

POST means that if opposite sides of a quadrilateral are the same, it's a parallelogram.

POAT means that if opposite sides of a quadrilateral are the same, it's a parallelogram.

A quadrilateral has to meet both of these theorems to be a parallelogram.

Answer:

B

Step-by-step explanation:

The equation that can be used to solve for 'a' is a/sin35° = 30/sin60°.

A triangle is a three-sided closed-plane figure form by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know sine rule of triangles which states,

a/sinA + b/sinB + c/sinC.

We also know that the sum of all the interior angles in a triangle is 180°.

Therefore, The measure of angle B is 180° - (35 + 85)°.

= 60°.

So, The equation can you use to solve for 'a' would-be,

a/sin35° = 30/sin60°.

asin60° = 30sin35°.

(√3/2)a = 30×0.5735.

a = (30×0.5735)/0.866.

a = 17.205/0.866.

a = 19.87.

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Answer:

Well if it made sense..

Step-by-step explanation:

Answer

c

Step-by-step explanation:

Answer:

The smallest angle is 30 degrees, the second angle is 80 degrees and the third angle is 70 degrees

Step-by-step explanation:

let x = the smallest angle

This means that one angle is x+40, and the third angle is 3x-10. This make our equation:

x + 40 + 3x - 10 + x = 180

Combine like terms

5x + 30 = 180

Subtract 30 from both sides

5x = 150

Divide both sides by 5

x = 30

Plugging this in:

3x - 10 =

90 - 10 =

80

And for the other:

x + 40 =

30 + 40 =

70

Answer:

I think it would be 12! :)

Step-by-step explanation:

[tex]4 x 3=12[/tex]

Answer:

0.25x -12= 18- 0.55x (subtract 0.25x from both sides)

-12= 18 -0.80x (subtract 18 from both sides)

-30= -0.80x (divide each side by -0.80)

x= 37.5 (this is your answer)

The value of x in which the two expressions have the same value is 37.5

Here,

Given that;

Two expressions are,

Expression 1 :   0.25x - 12

Expression 2:   18- 0.55x

We have to find the value of x.

What is Mathematical expression?

A sentence with a minimum of two numbers or variables and at least one math operation is present, is called Mathematical expression.

Now,

The value of x will be find after equating both expressions as;

0.25x - 12 = 18 - 0.55x

Subtract 0.25x from both sides, we get;

- 12 = 18 - 0.80x

Subtract 18 from both side, we get;

- 30 = - 0.80x

Divide each side by -0.80, we get;

x= 37.5

Hence, The value of x in which the two expressions have the same value is 37.5

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Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=3,\:y=-1[/tex]

Step-by-step explanation:

[tex]3x - 4y = 13[/tex]

[tex]5x + 4y = 11[/tex]

isolate x for 3x-4y=13

[tex]\mathrm{Subsititute\:}x=\frac{13+4y}{3}[/tex]

[tex]\begin{bmatrix}5\cdot \frac{13+4y}{3}+4y=11\end{bmatrix}[/tex]

[tex]\frac{65+32y}{3}=11[/tex]

now isolate y for [tex]\frac{65+32y}{3}=11[/tex]

[tex]\frac{65+32y}{3}=11[/tex]

[tex]65+32y=33[/tex]

[tex]32y=-32[/tex]

Divide both sides by 32

[tex]\frac{32y}{32}=\frac{-32}{32}[/tex]

[tex]y=-1[/tex]

[tex]\mathrm{For\:}x=\frac{13+4y}{3}[/tex]

[tex]\mathrm{Subsititute\:}y=-1[/tex]

[tex]x=\frac{13+4\left(-1\right)}{3}[/tex]

  [tex]=\frac{13-4\cdot \:1}{3}[/tex]

  [tex]=\frac{9}{3}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{9}{3}=3[/tex]

  [tex]=3[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=3,\:y=-1[/tex]

Answer:

-93

Step-by-step explanation:

Step one:

given the expressions

[tex]f(x) = -4x + 7\\\\g(x) = 2x^2 + 5x- 8[/tex]

we want (fog)(-3).

but (fog) is

[tex]f(x) = -4x + 7\\\\\ (fog)=-4(2x^2 + 5x -8) + 7\\\\ (fog)=-8x^2-20x+32+7[/tex]

Step two:

fog(-3)= put x= -3 in (fog)(-3)=-8x^2-20x+32+7

[tex](fog)(-3)=-8x^2-20x+32+7\\\\ (fog)(-3)=-8(-3)^2-20(-3)+32+7\\\\ (fog)(-3)=-8*9+60+32+7\\\\ (fog)(-3)=-72-60+32+7\\\\ (fog)(-3)=-93[/tex]

3 is the constant/ slope

5 is the y intercept

Answer:

-0.9

Step-by-step explanation:

it is closer to 0

Answer:

im pretty sure its 27.

Step-by-step explanation:

if g(x) = 20 then the new problem is 20=x-7

20=x-7 . add 7 to both sides

+7=+7 . +7 cancels out the -7

27=x . <<<answer

Answer:

45

Step-by-step explanation:

jffjgnjfgnjgjfgjs

Answer:

90%

Step-by-step explanation:

1. We assume, that the number 5400 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 5400, so we can write it down as 100%=5400.

4. We know, that x% equals 6000 of the output value, so we can write it down as x%=6000.

5. Now we have two simple equations:

1) 100%=5400

2) x%=6000

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=5400/6000

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6000 is what percent of 5400

Answer:

Diameter: 10 Yards

Step-by-step explanation:

d = 2r

d = 2 ( 5 )

d = 10

According to the solving the work done if the gorilla reaches that height:

= 8400 ft lb.

The work performed by a force is defined as the sum of the displacement and or the component of both the applied force of both the object in the displacement direction. Work is accomplished when we push a block with a certain amount of force, "F," which causes the body to move more quickly. W = F stands for "work done."

Anytime a force transports something over a distance, work is performed. By multiplying the force by both the distance moved inside this direction of the force, you may determine the amount of energy transferred or work accomplished.

The effort put in by a 350-pound gorilla climbing a 24 foot staircase can be computed as:

(a) t = 10 sec

WF = (350 lb) (24 ft)

= 8400 ft lb (answer)

(b) t = 5 sec

WF = (350 lb) (24 ft)

= 8400 ft lb

work done does not depends on time.

According to the solving the work done if the gorilla reaches that height:

= 8400 ft lb.

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Answer:

Yes, it is enough

[tex]y = -3x + 16[/tex]

Step-by-step explanation:

Given

[tex]Point = (6, -2)[/tex]

[tex]m = -3[/tex]

Required

Is the given info enough to find the equation?

Yes, it is enough and the proof is as follows:

And equation is solved using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex](x_1,y_1) = (6,-2)[/tex]

[tex]m = -3[/tex]

Substitute these values in [tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - (-2) = -3(x - 6)[/tex]

[tex]y +2 = -3(x - 6)[/tex]

Open bracket

[tex]y +2 = -3x + 18[/tex]

Make y the subject

[tex]y = -3x + 18-2[/tex]

[tex]y = -3x + 16[/tex]

From the above, one can see that the given info is enough

Answer:

[tex]\textsf{Constraint 1}: \quad 15x+10y\geq 1850[/tex]

[tex]\textsf{Constraint 2}: \quad y \leq 5x[/tex]

[tex]\textsf{Constraint 3}: \quad y \geq 65[/tex]

Step-by-step explanation:

Inequality signs:

Given variables:

Given information:

Therefore, the amount earned from mowing the lawns and walking dogs should be more than or equal to $1850:

[tex]\boxed{15x+10y\geq 1850}[/tex]

Given information:

Therefore, Sarah will walk less than or equal to 5 times the number of lawns mowed:

[tex]\boxed{y \leq 5x}[/tex]

Given information:

Therefore, Sarah will walk more than or equal to 65 dogs:

[tex]\boxed{y \geq 65}[/tex]

Answer:

-12≥x

Step-by-step explanation:

-10≥2x+14

-24≥2x

-12≥x

Answer:

The numbers in the sequence are perfect squares

next number is 9

Answer:

15

Step-by-step explanation:

15

Answer:

3.332

Step-by-step explanation:

take 2.5/3=0.833

0.833*4=3.332

hopefully this is right

im 95% sure its right

Answer:

8 x 9.2

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

-13+13=0

0+13=13

13+13=26