David typed 210 words in 30 minutes. What is her rate of typing?

Answers

Answer 1

Answer: 210 words ... 30 minutes
x words ... 1 minute

If you would like to know how many words can David type in 1 minute, you can calculate this using the following steps:

x * 30 = 210 * 1 /30
x = 210 / 30
x = 7 words

Result: David can type 7 words in 1 minute.

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Adela rode her bicycle 18.3 miles in 5 hours. Which gives the best estimate of how far Adela rode in 1 hour?

Answers

Answer:

estimate between 3 and 4 miles

Step-by-step explanation:

18.3 divided by 5 gives you 3,66 which is between 3 and 4 miles

I think you dive 18.3 by 5 which gives you 3.66

What is the equation of the graphed line written in standard form?3x + y = –5
x + 3y = –5
3x – 5y = –15
5x – 3y = 15

Answers

Answer:

D. 5x-3y=15

Step-by-step explanation:

Hey there!!

Standard form is sum of two variables is equal to constant.

Hence, all the options are in the standard points.

Hope my answer helps!!

Identify the solutions of the system of equations, if any
x+5y=6
6x-10y=12

Answers

$\left \{ {{x+5y=6} \ \ |2\atop {6x-10y=12}} \right. \n\n\n \left \{ {{2x+10y=12} \atop {6x-10y=12}} \right. \n ======== \n\n 8x=24 \ \ \ |:8 \n\n \boxed{x=3} \n\n x+5y=6 \n\n 5y=6-x \n\n y=(6-x)/(5) \n\n y=(6-3)/(5) \n\n \boxed{y=(3)/(5)}$

so assuming x and y remain constant, we can make one of the place holders negative and add the equations together to cancel each other out so

we can cancel out the y terms since 5 is close to 10
(x+5y=6) times 2=2x+10y=12
add this to 6x-10y=12
2x+6x+10y-10y=12+12
8x=24
divide both sides by 8
x=3
subsitute into first equation
x+5y=6
3+5y=6
5y=3
y=3/5
x=3

In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°. Find the length of o, to the nearest inch.

Answers

Given:

In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°.

To find:

The length of o, to the nearest inch.

Solution:

According to cosine formula,

$a^2=b^2+c^2-2bc\cos A$

Using cosine formula in ΔOPQ, we get

$o^2=p^2+q^2-2pq\cos O$

On substituting the values, we get

$o^2=(180)^2+(120)^2-2(180)(120)\cos (171^\circ)$

$o^2=32400+14400-43200(-0.9877)$

$o^2=46800+42668.64$

$o^2=89468.64$

Taking square root on both sides.

$o=√(89468.64)$

$o=299.113$

$o\approx 299$

Therefore, the length of o is about 299 inches.

Answer:299

Step-by-step explanation:

If you are paid $23.25 per hour, what is your annual salary? (Assume you work 40 hours each week of the year.)

Answers

$23.25 per hour
work 40 hours per week
Find your annual Salary
In a month, there are approximately 4 or 5 weeks (only refer to regular working days)
Let’s only use 4.
=> 40 x 4
=>160 hours in 1 month
In a years there are 12months
=> 12 x 4
=> 48 weeks in a years (only for regular working days) or let’s round it to 50 weeks per year
Now, let’s multiply 48 weeks by 40 hours and 50 by 40 hours
=> 48 x 40
=> 1920 hours in a year
=> 50 x 40
=> 2000 hours
Now, let’s find how much is your annual salary
=> 1920 x 23.25 = $44 640
=> 2000 x 23.25 =$46500
=>approximate or around

Answer:GET YALL POINTS

Step-by-step explanation:

Which is an equation of a circle with center (5, 0) that passes through the point (1, 1)? HELP ME PLEASE!! Answer Choices:

A.) (x - 1)2 + (y - 1)2 = 17
B.) (x + 5)2 + y2 = 17
C.) (x + 5)2 + y2 = 24
D.) (x - 5)2 + y2 = 17

Answers

a) first we will calculate the distance between center and given point because this is the radius of circle:

$d=√((1-5)^2+(1-0)^2)\n \n d=√((-4)^2+1)=√(17)$

b) Now we will write the equation of the circle:

$\boxed{\boxed{(x-5)^2+y^2=17}}$

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