Elizabeth ran 6 miles in 51 minutes. Assuming she always runs at that pace, how many miles can she run in 30 minutes? Round to the nearest tenth

Answer:

x = 30 degrees

y = 67 degrees

z = 83 degrees

Step-by-step explanation:

Let's first set up a few equations. We know:

x + y + z = 180

y + z = 5x

z = y + 16

Let's now solve our equations through substitution. We'll substitute variable z in equations one and two for (y + 16), which is possible thanks to our third equation.

Now, our second equation has become:

y + y + 16 = 5x

So...

5x = 2y + 16

Our first equation is now:

x + y + y + 16 = 180

So...

x + 2y = 180 - 16

And...

x + 2y = 164

Finally...

x = 164 - 2y

Let's take a look at our new first and second equations:

5x = 2y + 16

x = 164 - 2y

Let's substitute again, replacing x in the first equation with (164 - 2y).

Our first equation is now the following:

5(164 - 2y) = 2y + 16

We can apply the Distributive Property to get:

820 - 10y = 2y + 16

So...

-10y - 2y = 16 - 820

-12y = -804

y = 67

Now that we have found y, we can find x and z.

We know that the third angle z is 16 more than the second, y. That was our third equation, z = y + 16.

So, z = 67 + 16.

z = 83.

We know the sum of the y and z is five times the measure of x.

(83 + 67)/5 = 30

To check our work, we can do 67 + 83 + 30 = 180. So we know we are correct.

I am pretty sure it is a because 2 is half of 4 and 18 is half of 36.

Step-by-step explanation:

Pamela will be 1.7 miles if she walks one-tenth of a mile toward camp.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

At the 1.8-mile marker, Pamela stopped.

We have to determine the mile toward camp if she makes it a mile and a tenth of the way to camp.

Since a tenth of a mile is equal to one mile, if she is heading in the direction of the camp and the 1.8-mile marker is moving forward.

As per the given condition,

So remaining distance would be

⇒ 1.8 - (1/10)

⇒ 1.8 - 0.10

⇒ 1.7

Therefore, she will be 1.7 miles if she walks one-tenth of a mile toward camp.

Learn more about the arithmetic operations here:

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you add up to the origin then divide your welcome

Answer:

16ft

Step-by-step explanation:

It would be 16 feet because if you multiply 8 by 2 feet, you get 16ft.

Answer:

[tex](f\cdot g)(x)=2x^2+10x+12[/tex]

[tex](f-g)(x)=-x-1[/tex]

[tex](f+g)(1)=10[/tex]

Step-by-step explanation:

[tex]\tt f(x)=x+3[/tex]

[tex]\tt g(x)=2x+4[/tex]

[tex](f\cdot g)(x)=f(x)\cdot g(x)=(x+3)(2x+4)=2x^2+4x+6x+12[/tex]

[tex]=2x^2+10x+12[/tex]

[tex](f-g)(x)=f(x)-g(x)=x+3-(2x+4)=x+3-2x-4[/tex]

[tex]=-x-1[/tex]

[tex](f+g)(1)=f(1)+g(1)=1+3+2(1)+4[/tex]

[tex]=4+2+4=10[/tex]

~

Answer: Choice B)

[tex]804.2 \text{ km}^3[/tex]

This value is approximate.

======================================================

Work Shown:

[tex]V = \pi*r^2*h\\\\V = \pi*8^2*4\\\\V = 256\pi\\\\V \approx 804.248 \text{ km}^3\\\\V \approx 804.2 \text{ km}^3\\\\[/tex]

I used the calculator's stored version of pi to get the most accuracy possible.

Answer:

As the x-values go to positive infinity, the function's values go to positive infinity.

emilythompson35464

hope this helps srry if this doesn't tho

Answer: A.

Step-by-step explanation:

because the x values increase, the other functions decresse.

Answer:

174

Step-by-step explanation:

Answer:

C. 181.7 miles

Answer:

235,414 rounded to the nearest tens is 235,410

Step-by-step explanation:

Hope that helps!

Step-by-step explanation:

Round 235,414 to the nearest Tens

235,414

235,410

I hope this helps

By seeing the digram we came to know:

[tex]AC=BC+AB[/tex]

To find the value of x:

Step 1:

→[tex]52 = 6x + 4 + 4x + 8[/tex]

Step 2:

→[tex]52 = 10x + 12[/tex]

Step 3:

→[tex]10x = 52 - 12[/tex]

Step 4:

→[tex]10x = 40[/tex]

Step 6:

→[tex]x = \dfrac{40}{10} [/tex]

Step 7:

→[tex]x = 4[/tex]

To find value of BC:

Step 1:

•[tex]BC=6x+4[/tex]

Step 2:

•[tex] BC= 6 \times 4 + 4[/tex]

Step 3:

•[tex] BC= 24 + 4[/tex]

Step 4:

•[tex] BC= 28✓[/tex]

Answer:

the answer is B for the question

The measure of chord XY in the given circle is 10.2 units.

The chord of a circle is defined as the line segment joining any two points on the circumference of the circle. It should be noted that the diameter is the longest chord of a circle that passes through the center of the circle.

Given that a circle, O, where, arcs, XY and XZ are congruent,

We need to find the measure of chord XY in the given circle.

Since, we know that,

If two chord are of the same length, then the two arcs they intercept are congruent.

Therefore,

Arc XY = Arc XZ

Therefore,

XY = 10.2 units

Hence, the measure of chord XY in the given circle is 10.2 units. in a

Learn more about chord, click;

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For the right handed limit we now have x → a + x → a + (note the +) which means that we know will only look at x>a. the left handed limit we have x → a− x → a − (note the -) the means that we will only be looking at x < a

[tex]hope \: its \: helpful \: to \: you[/tex]

Answer:

Step-by-step explanation:

3+4=7

so it is 3/7 part of PQ

Answer:

4 days

Step-by-step explanation:

4*192/8, after solving that you get 96. Add 96 to the amount she already read which is 192. 192+96=288.

Hope this helped :)

Answer:

3/8

Step-by-step explanation:

7/8- 1/2 which is equivilient to 4/8 is 3/8

Answer:

It is impossible

Step-by-step explanation:

A square has 4 right angles, a rhombus doesn't have that property therefore, it is impossible

Answer:

Yes it is

Step-by-step explanation:

30^2+40^2+50^2

900+1600=2500

2500=2500

so yes it is

Answer:

if it is to the nearest 100th then its 0.00

Answer:A

Step-by-step explanation:

Answer:

$60.00

Step-by-step explanation:

Answer:

y/2

Step-by-step explanation:

x/3 + 3/3 = y/2 + 2/2

x/3 + 1 = y/2 + 1

x/3 = y/2

Answer:

2B / (mx) = y

Step-by-step explanation:

B = 1/2 mxy

Multiply each side by 2

2B = 2* 1/2 mxy

2B = mxy

Divide each side by mx

2B / (mx) = mxy / (mx)

2B / (mx) = y

Answer:

[tex] \huge y = \frac{2B}{mx} \\ [/tex]

Step-by-step explanation:

[tex]B = \frac{1}{2} mxy \\ [/tex]

Multiply through by 2 to eliminate the fraction

That's

[tex]mxy = 2B[/tex]

Divide both sides by mx to make y stand alone

We have

[tex] \frac{mxy}{mx} = \frac{2B}{mx} \\ [/tex]

We have the final answer as

[tex]y = \frac{2B}{mx} \\ [/tex]

Hope this helps you

Answer:

x=6

Step-by-step explanation:

Your answer would be x = 6.

The only step is to divide by 2/3 on both sides of the equation.

Answer:

Step-by-step explanation:

g ( f ( x ) ) = ( x+ 3) ^2

Answer:

its b, because they are using that formula to get the answer! And I also need brainliest really badly!