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
Helen [10]
3 years ago
15

The sum of two numbers is 98. their difference is 22. write a system of equations that describes this situation. solve by elimin

ation to find the two numbers. algebra.com
Mathematics
1 answer:
larisa [96]3 years ago
6 0
Y+x=98
y-x=22

I'm going to use elimination. 

y+x=98
y-x=22
-----------
2y+0x=120 SIMPLIFY 2y=120 SIMPLIFY y=60. 

Substitute that into either equation and you get y=60 and x=38

Have a nice day! :)

You might be interested in
You get a 5% commission. You base your monthly salary on $100000 in sales. What is your monthly salary.​
Natali [406]

Answer:

100/100'000*5 = 5000 + base commission of 100'000 = 105'000

Step-by-step explanation:

3 0
3 years ago
Drag the choices into the boxes to explain how all real numbers have a decimal expansion.
KATRIN_1 [288]

The decimal forms of some real numbers, like( 3/16), terminate, while the decimal forms of other real numbers, like(4 2/11 ), do not terminate, but have a repeating pattern. Still, other real numbers, like(5 squared ), have decimal forms that neither terminate nor repeat.

Step-by-step explanation:

1. The decimal forms of some real numbers, like( ), terminate

A number is terminating if it has decimal with finite number

So, \frac{3}{16}= 0.1875 as decimal stops after 4 digits so it is terminating.

2.  the decimal forms of other real numbers, like( ), do not terminate, but have a repeating pattern.

A number that do not terminate, but have a repeating pattern.

So, 4 \frac{2}{11} =\frac{44}{11}=4.1818181

3. have decimal forms that neither terminate nor repeat

5^2 = 25 it neither terminates nor repeat

So, answers will be:

The decimal forms of some real numbers, like( 3/16), terminate, while the decimal forms of other real numbers, like(4 2/11 ), do not terminate, but have a repeating pattern. Still, other real numbers, like(5 squared ), have decimal forms that neither terminate nor repeat.

Keywords: Decimals

Learn more about decimals at:

  • brainly.com/question/10941043
  • brainly.com/question/4390083

#learnwithBrainly

6 0
3 years ago
What is 2 to the 4 times 2 to the -7
stich3 [128]

Answer:

0.125

Step-by-step explanation:

You multiply 2^4 by 2^-7

8 0
3 years ago
10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.
erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

p = \frac{4}{6} = 0.6667

10 normal six sided dice are thrown.

This means that n = 10

Find the probability of obtaining at least 8 failures.

This is:

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951

P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867

P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174

Then

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992

0.2992 = 29.92% probability of obtaining at least 8 failures.

8 0
3 years ago
What is 4/7÷2/3? please help me with this​
SIZIF [17.4K]

Answer:

Hi! The correct answer is 8/21!

Step-by-step explanation:

<em><u>~Simplify the expression~</u></em>

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the length of each leg of the triangle below
    11·1 answer
  • How do I solve for x?
    6·1 answer
  • What is the LCM of 36 and 60
    8·1 answer
  • PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
    10·1 answer
  • The circumference of a circle is 36 x feet. What is the length of the radius of this circle?
    15·1 answer
  • Write 87 1/2% as a fraction in simplest form
    12·1 answer
  • Dawn has 5/6 yard of lace. she uses 4/5 of it for a dress and the rest for a jewel box. how much ove does she use for the jewel
    6·1 answer
  • What does 2.x246 times x3.35894 equals
    8·1 answer
  • Which expression is the result of factoring the expression below by taking out its greatest common factor?
    9·1 answer
  • FACTORIZE<br>A(X)=(x+2)^2(-x+2)(2x-1)​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!