All categories

2 years ago

Tell whether the ordered pair is a solution to the system of inequalities

Mathematics

1 answer:

ehidna [41]2 years ago

3 0

Answer:

Yes, it is

Step-by-step explanation:

The solution to the inequality are the sets of points that lie where we have the shaded part

The coordinates (3,0) lie on the shaded part and thus will be a solution to the set of inequalities

You might be interested in

Write two numbers that multiply to the value on top and add to the value on bottom.

zavuch27 [327]

2 and 4 because they all multiply and add up to 12 and 20

4 0

3 years ago

Read 2 more answers

What is the product of 8/15 and 2 3/4?

Black_prince [1.1K]

The correct answer is 1 7/15.

4 0

2 years ago

What is the x coordinate of the solution? <br> What is the y coordinate of the solution?

Alexus [3.1K]

Answer:

the x coordinate is 1

the y coordinate is 1

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Nolan has a bond with a 6.1% yield, a bid price of $475, and a face value of $500. What is the original coupon rate of this Bond

Vladimir79 [104]

Answer:

5.8%

Step-by-step explanation:

Current yield = 6.1%

Face value of bond = $500

Market price of bond = $475

Let the original coupon rate be CR

$Current\hspace{2}yield = \frac{Coupon\hspace{2}rate* Bond\hspace{2}face\hspace{2}value}{Market\hspace{2}price}*100$

$6.1 = \frac{CR*500}{475}*100$

Multiply both sides by 475

$6.1 *475 = \frac{CR*500}{475}*100*475$

Cancel out the 475's from the top and bottom of the right side

$6.1 *475 = CR*500*100$

$2897.5 = CR*50000$

Flip the sides

$CR*50000 = 2897.5$

Divide both sides by 5000

$\frac{CR*50000}{50000} = \frac{2897.5}{50000}$

Cancel out 50000 from the top and bottom of the left side

$CR = 0.0579$ %

CR = 0.0579 * 100 [convert decimal into a percentage]

CR = 5.79 %

CR = 5.8% [rounded off to the tenth place]

6 0

2 years ago

Read 2 more answers

You and your friend play a game. You answer 80% of the questions correctly and your friend answers 0.60 of the questions correct

bezimeni [28]

Answer:

Step-by-step explanation:

Assuming both players can answer the same question, the minimum number of questions is the smallest number that when multiplied by either 0.60 or 0.80 yields a whole number.

Let x be the number of questions, solving by trial and error:

$if\ x=2\\x*0.8=1.6\\x*0.6=1.2\\\\if\ x=3\\x*0.8=2.4\\x*0.6=1.8\\\\if\ x=4\\x*0.8=3.2\\x*0.6=2.4\\\\if\ x=5\\x*0.8=4\\x*0.6=3\\\\$

Therefore, the minimum number of questions in the game is 5.

5 0

3 years ago