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
What's the missing Vertical angles
skelet666 [1.2K]
1.) <1=25°, <2=155°, <4=155°


5 0
3 years ago
Read 2 more answers
Anyone able to help with this question?
ELEN [110]

Answer:

This is trigonomentry

Use SOHCAHTOA

where :

s is sin

c is cos

t is tan

o is opposite (side)

h is hypotenuse (opposite of 90 degree angle)

and a is adjacent (side)

Sin = o/h

cos = a/h

tan = o/a

in this case we are looking for side BC which is the hypotenuse(h)

and we have the side adjacent(a) to angle 71

since we have a and h determine what to use SIN, COS, OR TAN?

we should use Cos

they‘ve given the angle so we should do this...

Cos71 = \frac{6.3}{h}

Cos71 = \frac{6.3}{BC}

now apply algebra...

6.3/cos71= BC

BC= 19.3507869666

BC = 19.4   (3SF)

8 0
3 years ago
Find the standard form of the equation of the hyperbola satisfying the given conditions: X intercept +/- 6; foci at (-10,0) and
uysha [10]

Answer:

\frac{x^{2}}{36} - \frac{y^{2}}{64}=1

Step-by-step explanation:

Given an hyperbola with the following conditions:

  • Foci at (-10,0) and (10,0)
  • x-intercept +/- 6;

The following holds:

  • The center is midway between the foci, so the center must be at (h, k) = (0, 0).
  • The foci are 10 units to either side of the center, so c = 10 and c^2 = 100
  • The center lies on the origin, so the two x-intercepts must then also be the hyperbola's vertices.

Since the intercepts are 6 units to either side of the center, then a = 6 and a^2 = 36.

Then, a^2+b^2=c^2\\b^2=100-36=64

Therefore, substituting a^2 = 36. and b^2=64 into the standard form

\frac{x^{2}}{a^2} - \frac{y^{2}}{b^2}=1\\We \: have:\\ \dfrac{x^{2}}{36} - \dfrac{y^{2}}{64}=1

4 0
3 years ago
I need help on this question
Ierofanga [76]
Omg i gave that same question it’s so hard
5 0
3 years ago
Read 2 more answers
Hannah sold 200 ornaments on both Saturday and Sunday. She recorded the number of ornaments of each color that she sold.
snow_tiger [21]
These are the data collected and the fractions of the sale of the day:


Ornaments sold on Saturday
                                                 fraction
Silver                  20                    20/200 = 1/10
Red                  100                  100/200 = 1/2    
White                 30                    30/200 =  3/20
Gold                   50                    50/200 = 1/4
                       -------         
Total                 200


Ornaments sold on Sunday
                                                   fraction
Silver                50                      50/200 = 1/4
Red                110                      110/200 = 11/20
White               15                      15/200 = 3 / 40
Gold                 25                      25/200 = 1/8
                       -------
Total               200



The question is which color ornament represents 1/8 of the sales of the day.


Then, in the table you have the answer.


The last line of the second table shows that the sales of gold ornament on Sunday represents 1/8 of the sales of the day.


The answer is gold ornaments sold on Sunday (option D.)
6 0
2 years ago
Read 2 more answers
Other questions:
  • During the first part of a​ trip, a canoeist travels 18 miles at a certain speed. the canoeist travels 4 miles on the second par
    13·1 answer
  • On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid
    9·1 answer
  • Help with math algebra question in the picture
    8·1 answer
  • Find the sum. 1. -7+(-5) <br> O-12 <br>O-2 <br>0 2 <br>0 12​
    9·1 answer
  • Assume a tax rate of 6.2% on $128,400 for Social Security and 1.45% for Medicare. No one will reach the maximum for FICA. Comple
    6·1 answer
  • Please help me with this homework
    5·2 answers
  • EXPAND THE POLONOMIAL <br><br> (5a+1/2b)^2 HELPPP ASAP
    7·1 answer
  • HELP PLEASE : For numbers 3 &amp; 4, draw a triangle for each to find the missing side.
    14·2 answers
  • Which decimal is equivalent to 25/6 ?
    6·1 answer
  • 1. You roll two dice. What is the probability of rolling a sum of 8 or more?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!