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kumpel [21]
3 years ago
14

Sue can run 12 miles in 3 hours. Which of the following equation represents this relationship?

Mathematics
1 answer:
Art [367]3 years ago
6 0
The correct answer is a
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9th grade math help me please and thank you sosomuch
Varvara68 [4.7K]

Answer:

The system is consistent; it has one solution ⇒ D

Step-by-step explanation:

A consistent system of equations has at least one solution

  • The consistent independent system has exactly 1 solution
  • The consistent dependent system has infinitely many solutions

An inconsistent system has no solution

In the system of equations ax + by = c and dx + ey = f, if

  1. a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
  2. a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
  3. a ≠ d, and/or b ≠ e, and/or c ≠ f, then the system is consistent independent and has exactly one solution

In the given system of equations

∵ -2y + 2x = 3 ⇒ (1)

∵ -5y + 5x = 12 ⇒ (2)

→ By comparing equations (1) and (2)

∵ -2 ≠ -5

∵ 2 ≠ 5

∵ 3 ≠ 12

→ By using the 3rd rule above

∴ The system is consistent independent and has exactly one solution

∴ The system is consistent; it has one solution

7 0
3 years ago
For the arithmetic sequence 42, 32, 22, 12... find the 18th term.
Stella [2.4K]

Answer:

The18th term of the given sequence is -128

Explanation:

To find the 18th term of the sequence:

42, 32, 22, 12, ..., we need to find the nth term of the sequence first.

The nth term of a sequence is given be the formula:

T_n=a+(n-1)d

Where a is the first term, and d is the common difference.

Here, a = 42, d = 32 - 42 = -10

\begin{gathered} T_n=42+(n-1)(-10) \\ =42-10n+10 \\ T_n=52-10n \end{gathered}

To find the 18th terem, substitute n = 18 into the nth term

\begin{gathered} T_{18}=52-10(18) \\ =52-180 \\ =-128 \end{gathered}

7 0
1 year ago
A cheetah spots a gazelle 300 meters away. The cheetah begins to chase the gazelle at a rate of 18 meters per second at the same
Rina8888 [55]
The cheetah runs 2 meters/sec faster than the gazelle.  Eventually the cheetah will overcome the gazelle.  Since distance = rate times time, time = distance/rate.

Thus, 

300 meters / (2 meters/sec) = 150 sec = 2 min 30 sec
8 0
3 years ago
Please help test due in 1 hour and it’s a grade! Will give brainliest and good review!
natita [175]

Answer

The measurement of the missing sides are 4 cm on each side

Step-by-step explanation:

multiply 5 times 2 (5x2=10) take away the 10 and 18 and the answer for it is the answer for the whole thing.

7 0
3 years ago
PLEASE HELP ME.Math work: The Head Chef has asked you to create a delicious baked dessert that will have the same volume if it i
nikklg [1K]

Answer:

Large baking dish of cylinder, cone and sphere.

Step-by-step explanation:

When we compute the volume of each of the small and large baking dish taking \pi=3.14, we get

Volume of cylinder (small dish)= \pi(r^2)(h)

                                                  =3.14(\frac{3}{2})^2*3

                                                  = \frac{3.14*9*3}{4}

                                                 = 21.195

Volume of cylinder (large dish)= \pi(r)^2(h)= 3.14*(3)^2(3)

                                                  =84.78

Similarly, volume of cone (smaller dish)= \frac{1}{3} \pi r^{2} h

                                                            = 7.065

Volume of cone (larger dish)= 84.78

Volume of sphere(smaller dish)= \frac{4}{3} \pi r^{3}

                                                    = 14.13

Volume of sphere (larger dish) = 85.17 (approx)

Hence, we get that larger baking dish have approximately same volume.

Therefore, large baking dish of cylinder, cone, sphere will be chosen.

4 0
3 years ago
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