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
lidiya [134]
2 years ago
11

Solve the equation below:

Mathematics
1 answer:
maria [59]2 years ago
6 0
<h3><u>Explanation</u></h3>
  • Given the Inequality.

\frac{1}{2} y - 9 > 1

  • Rewrite the Inequality.

\frac{y}{2}  - 9 > 1

  • Solve the Inequality for y-term by making y as the subject.

\frac{y}{2}  > 1 + 9 \\  \frac{y}{2}  > 10 \\ y > 10 \times 2 \\ y > 20

  • Answer Check

We have to compare and consider both values which are y = 20 and any greater than 10 which is 21.

<u>Substitute</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>20</u><u> </u><u>in</u><u> </u><u>the</u><u> </u><u>Inequality</u><u>.</u><u> </u>

<u>\frac{20}{2}  - 9 > 1 \\ 10 - 9 > 1 \\ 1 > 1 \longrightarrow \sf{false}</u>

<u>Substitute</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>21</u><u> </u><u>in</u><u> </u><u>the</u><u> </u><u>Inequality</u><u>.</u><u> </u>

<u>\frac{21}{2}  - 9 > 1 \\ 21 - 18 > 2 \\ 3 > 2 \longrightarrow \sf{true}</u>

That means the value of y must be greater than 20. Hence the answer is B choice.

<h3><u>Answer</u></h3>

<u>\large \boxed{y > 20}</u>

You might be interested in
Matt is running in a 9 mile race over
iren2701 [21]

Answer:54 minutes

Step-by-step explanation:

9 x 5 = 45 then 45+ the.1 minute from each mile so it would be 9 +45 = 54 minutes

4 0
3 years ago
Chris is driving his car at a rate of 32 miles per hour. Albert is driving his car at a rate of 36 miles per hour. Both started
enot [183]

Answer:

Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour. Now let's say you rode your bike at a rate of 10 miles per hour for 4 hours.

Step-by-step explanation:

7 0
3 years ago
Which equation, when graphed, has x-intercepts at (-1,0) and (-5,0) and a y-intercept at (0, -30)?
Vladimir [108]

If a function has roots -1 and -5, it must be in the form

f(x)=a(x+1)(x+5)

We can fix the coefficient a by imposing the passing through (0,-30):

f(0)=-30=a(1)(5)\iff a=-6

So, the function is

f(x)=-6(x+1)(x+5)

7 0
3 years ago
What is the result of (x^2 – 10x) – (–5x^2 + x)?
Advocard [28]

Answer:

(6x²-11x) that's the answer :)

5 0
3 years ago
Express each number in standard form.
Vitek1552 [10]

a) 1,000 + 0 + 40 + 9

b) 40,000 + 3,000 + 800 + 70 + 0

c) 8,000,000 + 100,000 + 5

3 0
2 years ago
Other questions:
  • If the length of a rectangular garden is 2 feet less than the length of a house and the width of the garden is 5 feet less than
    11·1 answer
  • Please help
    15·1 answer
  • Gabriela makes a profit of $0.80 for every cup of coffee that she sells at her coffee shop. She wanted to make a profit of at le
    7·2 answers
  • Prove that if m + n and n + p are even integers, where m, n, and p are integers, then m + p is even. what kind of proof did you
    6·1 answer
  • Half a number x is 18
    7·2 answers
  • During a food drive, a local middle school collected 8,982 canned food items. Each of the 28 classrooms that participated in the
    15·2 answers
  • The length of a rectangular picture is 17 inches and the perimeter is 60 inches. find the width
    7·1 answer
  • Please help!!!!!!!!!!!!!!
    12·1 answer
  • *insert chuck and his preggo sister with the gooey stuff coming out of her while the ded baby slides out*
    9·2 answers
  • There are 39 students in Ms. Salazar's chemistry class. If Ms. Salazar divides the class into 9 lab
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!