1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ad-work [718]
3 years ago
12

Write the solution to the inequality in set - builder notation: 5r + 8 < 63

Mathematics
1 answer:
Leni [432]3 years ago
7 0
<span>First, the inequality needs to be solved. The first step is to subtract 8 from both sides of the inequality, leading to 5r < 55. Dividing 5 out from both sides, this will leave r < 11. Next, to form a set notation, the inequality is written in such form: {r | r < 11}.</span>
You might be interested in
Write the following fraction as a decimal number. (2 points)
MrRissso [65]

Answer:

D- 7.3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Given m<br> n, find the value of x and y<br> m<br> (7x+18)<br> (5x-6)<br> (3y+11)<br> n
Dmitry_Shevchenko [17]

Answer:

7x + 18 + 5x - 6 = 180 \\ 12x + 12 = 180 \\ 12x = 180 - 12 = 168 \\ x = 168 \div 12 =14 \\ 3y + 11 = 7x + 18 = 7 \times 14 + 18 \\ 3y + 11 = 98 + 18 = 116 \\ 3y = 116 - 11 = 105 \\ y = 105 \div 3 = 35

6 0
3 years ago
Answer?plz. Need help
Brrunno [24]

Answer:

C.

Step-by-step explanation:

The GCF of 28 and 12 is 4

Soo... Distribute it to find the factors. 28/4=7 and 12/4 is 3.

4(7+3)

6 0
3 years ago
Find the arc length for arcs of circles as follows:
Sauron [17]

Answer:

≈ 11.78 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × \frac{\frac{\pi }{4} }{2\pi } ( cancel 2π on numerator/ denominator )

     = 15 × \frac{\pi }{4}

     = \frac{15\pi }{4}

     ≈ 11.78 in ( to 2 dec. places )

6 0
2 years ago
Pilar is playing with a motorized toy boat. She puts the boat in a lake and it travels 400m at a constant speed. On the way back
ankoles [38]

Answer:

The trip normally takes 8 minutes

Step-by-step explanation:

The given information states that the away distance the boat traveled = 400 m

The time traveled at the same initial  speed , v₁, by the boat on the way back = 2 minutes

The increase in speed of the boat by Pilar =  10 m/min

The new speed, v₂ = v₁ + 10

The time for the return trip, t₂ = 60 seconds (1 minute) faster than time for the trip, t₁

t₂ = t₁ - 1

Therefore we have;

v₁ × t₁ = v₁×2 + v₂×(t₂-2) = 400

v₁×2 + (v₁ + 10)×(t₂-2) = 400

(v₁ + 10)×t₂ - 20 = 400

But v₁ = 400/t₁ = 400/(t₂ + 1)

Which gives;

(400/(t₂ + 1) + 10)×t₂ - 20 = 400

10×(t₂²+ 36·t₂-2)/(t₂+1) = 400

10·t₂²+ 10·t₂-420 = 0

t₂²+ t₂-42 = 0

(t₂ - 7)(t₂ + 6) = 0

t₂ = 7 minutes or -6 minutes

Given that t₂ is a natural number, we have, t₂ = 7 minutes

Whereby, t₂ = t₁ - 1, we have;

7 =  t₁ - 1

t₁ = 1 + 7 = 8 Minutes

The trip normally takes 8 minutes

3 0
3 years ago
Other questions:
  • What is the value of y?
    10·2 answers
  • Kenya kon sells dishwasher. he earns an 8% commission on sales. how much must he sell in order to earn $3000
    6·1 answer
  • From the given angle measurements, you can’t directly find the measure of angle L. However, you can find the measurement of angl
    15·2 answers
  • Simplify (x − 3)(x2 + 7x − 8). (1 point)
    11·2 answers
  • I could use some more help
    8·1 answer
  • Help pls &lt;3<br> a1 = −3/2<br> an = an−1 + 1/2<br><br> What is a9?
    12·1 answer
  • A family uses 15 gallons of milk every 3 weeks. At that rate, about how many gallons of milk will they need to purchase in a yea
    13·1 answer
  • The temperature is changing at a constant rate of –0.75ºC per half hour. At 6:45 PM, the temperature was –4.6ºC. At what time wa
    10·1 answer
  • How do you find the measure of each angle?
    14·1 answer
  • Please help me find the code for this puzzle l. I included all you will need.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!