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antoniya [11.8K]
3 years ago
9

A(n) ______ is a letter or symbol that represents some unknown value.

Mathematics
1 answer:
Nuetrik [128]3 years ago
4 0
The answer is "variable"

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A running back is having a great day on the football field. It’s only the third quarter, and he’s already rushed for 203 yards.
Naddik [55]

Answer:

He needs to gain more than 26 yards in order to break his record

Step-by-step explanation:

Let y stand for the number of yards he’ll have to gain. The sum of y plus the number of yards he already has (203) must be greater than 229 in order for him to break the record.  

203 + y > 229                           Set up the inequality.

203 − 203 + y > 229 − 203       Subtract 203 from both sides of the inequality.

y > 26

8 0
3 years ago
Geometry help. Inscribing circle help and constructing lines.
prohojiy [21]
<h3>1. Inscribe a circle ΔJKL. Identify the point of concurrency that is the center of the circle you drew. </h3>

To inscribe a circle in the attached triangle, we must follow the following steps. The resultant figure is the first one below.

1. Draw the angle bisector of angle JKL. The straight line in the green one.

2. Draw the angle bisector of angle KLJ. The straight line in the blue one.

3. Draw point D at these two lines.

4. Draw a line through point D perpendicular to side JK. The straight line in the red one.

5. Mark point G at the red line and side JK.

6. Draw a circle with center at D (point of concurrency) and a radius of DG.


<h3>2. Circumscribe a circle ΔFGH. Identify the point of concurrency that is the center of the circle you drew. </h3>

To circumscribe a circle in the attached triangle, we must follow the following steps:

1. Draw the perpendicular bisector of the side FG. The straight line in the red one. The resultant figure is the second one below.

2. Draw the perpendicular bisector of the side GH. The straight line in the blue one.

3. The center of the circle is the intersection of these two lines

4. Draw a circle with center at D (point of concurrency).

<h3>3. Construct the two lines tangents to circle</h3>

A tangent to a circle is a straight line that touches the circle at an only point. If a point A is outside a circle, we can draw two lines that pass through this point and are tangent to the circle at two different points each. So this is shown in the third figure. Lines red and blue are tangent to the circle at two different points.

3 0
3 years ago
20 red marbles to 40 blue marbles (ratio as a fraction)
Tanya [424]

Answer:

20/40 = 10/20 = 1/2, 1:2

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

3 0
2 years ago
Read 2 more answers
Henry's mom is in charge of buying lemonade for his soccer team this week she plans on every player receiving 7/8 of a cup of le
Katena32 [7]
If each player will receive 7/8 of a cup, and there are a total of 20 cups of lemonade, then the number of servings that can be made is equal to:

20 cups divided by (7/8 cup per player)
20 / (7/8) = 20 * (8/7) = 160/7 = 22 and 6/7 (round down since we're looking for complete servings)
This means that 22 complete servings can be made.
5 0
3 years ago
You take out $50,000 for loans during your college career. You must pay it back with 7% APR for 20 years, making monthly payment
Ad libitum [116K]

Answer:

The monthly payment for the loan amount for 20 years is $806.167

Step-by-step explanation:

The principal loan amount= $ 50,000

The rate of interest = 7 %

the time period of loan = 20 years = 20 × 12 = 240 months

let the amount after 20 years = $ A

<u>From Compounded method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm Time}

or, A = 50,000 × (1+\dfrac{\textrm 7}{100})^{\textrm 20}

or, A = 50,000 × (1.07)^{20}

Or, A = 50,000 × 3.8696

∴ Amount = $ 193,480

So, The amount after 20 years = $ 193,480

The monthly payment amount = $ \frac{193480}{240} = $ 806.167

Hence The monthly payment for the loan amount for 20 years is $806.167 Answer

3 0
3 years ago
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