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
xz_007 [3.2K]
2 years ago
12

1. The sum of the real numbers x and y is 15. Their

Mathematics
1 answer:
Brut [27]2 years ago
6 0

Answer:

x = 9

y = 6

Step-by-step explanation:

Let's set up equations:

x + y = 15

x - y = 3

Let's rearrange one of these equations to use the substitution method:

x - y = 3

Add y to each side:

x = y + 3

Substitute in for x:

x + y = 15

y + 3 + y = 15

Combine like terms:

( y + y ) + 3 = 15

2y + 3 = 15

Subtract 3 from each side:

2y = 12

Divide each side by 2:

y = 6

Substitute this in to find the other variable:

x + y = 15

x + 6 = 15

Subtract 6 from each side:

x = 9

You might be interested in
If 6:2=8:x, then<br><br> a. 6x = 16<br> b. 6x = 10<br> c. 2x = 48<br> d. 2x = 14
stellarik [79]

Answer:

6x = 16

Step-by-step explanation:

Given:

\displaystyle \large{6:2 = 8:x}

The equation can be rewritten as:

\displaystyle \large{\dfrac{6}{2}=\dfrac{8}{x}}

Multiply both sides by 2x.

\displaystyle \large{\dfrac{6}{2}\cdot 2x=\dfrac{8}{x}\cdot 2x}

Simplify the equation in simplest form.

\displaystyle \large{6x=8\cdot 2}\\\\\displaystyle \large{6x=16}

Therefore, the answer to this question is 6x = 16.

Please let me know if you have any questions regarding my answer or explanation!

7 0
2 years ago
Hannah has invested £1000 in a bank account. She creates a formula to show her the money she has in her account (M) and given am
Kryger [21]
VsbsvbsbsvavssvsbsbavzbcdvzbsbsbbnMksnsbssvbsbzbsbsjwkkwjwbsbsnznzbzbnznakakwkwjwbbwbbebbz nakakaiwkwkw
4 0
3 years ago
Through which points should a line of rotation be
uysha [10]

Answer:f and i

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the 21st term of the arithmetic sequence with a first term
larisa86 [58]
At this case it could be calculated like this: 7+5*20=107
7 0
3 years ago
It is desired to compare the hourly rate of an entry-level job in two fast-food chains. Eight locations for each chain are rando
notka56 [123]

Answer:

It can be concluded that at 5% significance level that there is no difference in the amount paid by chain A and chain B for the job under consideration

Step by Step Solution:

The given data are;

Chain A 4.25, 4.75, 3.80, 4.50, 3.90, 5.00, 4.00, 3.80

Chain B 4.60, 4.65, 3.85, 4.00, 4.80, 4.00, 4.50, 3.65

Using the functions of Microsoft Excel, we get;

The mean hourly rate for fast-food Chain A, \overline x_1 = 4.25

The standard deviation hourly rate for fast-food Chain A, s₁ = 0.457478

The mean hourly rate for fast-food Chain B, \overline x_2 = 4.25625

The standard deviation hourly rate for fast-food Chain B, s₂ = 0.429649

The significance level, α = 5%

The null hypothesis, H₀:  \overline x_1 = \overline x_2

The alternative hypothesis, Hₐ:  \overline x_1 ≠ \overline x_2

The pooled variance, S_p^2, is given as follows;

S_p^2 = \dfrac{s_1^2 \cdot (n_1 - 1) + s_2^2\cdot (n_2-1)}{(n_1 - 1)+ (n_2 -1)}

Therefore, we have;

S_p^2 = \dfrac{0.457478^2 \cdot (8 - 1) + 0.429649^2\cdot (8-1)}{(8 - 1)+ (8 -1)} \approx 0.19682

The test statistic is given as follows;

t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{S_{p}^{2} \cdot \left(\dfrac{1 }{n_{1}}+\dfrac{1}{n_{2}}\right)}}

Therefore, we have;

t=\dfrac{(4.25-4.25625)}{\sqrt{0.19682 \times \left(\dfrac{1 }{8}+\dfrac{1}{8}\right)}} \approx -0.028176

The degrees of freedom, df = n₁ + n₂ - 2 = 8 + 8 - 2 = 14

At 5% significance level, the critical t = 2.145

Therefore, given that the absolute value of the test statistic is less than the critical 't', we fail to reject the null hypothesis and it can be concluded that at 5% significance level that chain A pays the same as chain B for the job under consideration

3 0
2 years ago
Other questions:
  • Alberto feeds his fish the same amount of food each day. A 2 ounce jar of fish food flakes has enough food for Alberto to feed h
    12·1 answer
  • Steve claims that the sun of two off numbers is always even. How can Steve prove his conjecture?
    9·2 answers
  • A farmer can buy two types of plant​ food, mix A and mix B. Each cubic yard of mix A contains 35 pounds of phosphoric​ acid, 15
    8·1 answer
  • How are your grades? In a recent semester at a local university, students enrolled in both Statistics and Psychology . Of these
    11·1 answer
  • Given the following geometric sequence, find the common ratio. {0.45, 0.9, 1.8, ...}
    14·2 answers
  • Change 90 euros to pounds
    15·2 answers
  • Olivia goes shopping at the mall and buys a shirt that is on sale for 25% off. She also knows that the sales tax is 5%. If her f
    12·1 answer
  • If cos∠B = sin∠A and m∠A = 32°, what is the measure of ∠B?
    12·2 answers
  • 8x/+1= -9<br><br> what is x?<br> pls hurry I need help.<br> Do NOT convert to decimal
    11·2 answers
  • Which classifications apply to the polygon? Check all that apply.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!