What is the solition of 8 +a = 13?

The region corresponding to all ordered pairs (x, y) that satisfy these requirements has been shaded on the graph shown below.

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of hours spent on cardiovascular work and the number of hours spent on weight training respectively, and then translate the word problem into an algebraic equation (linear inequalities) as follows:

Since Trey exercises for at least 10 hours, spent 3 hours on weight training, and 12 hours doing cardiovascular work, a system of linear inequalities that models the situation and constraints is given by;

x + y ≥ 10

x ≤ 12

y ≤ 3

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Answer:

$532

Step-by-step explanation:

19/200 * 5600/1

Cross cancellation makes this:

19/1 * 28/1

19 * 28

(19 * 20) + (19 * 8)

380 + 152

$532 in commission

Answer:

the rate of change is 6 for every 1

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

We can find the rate of change using the following formula:

m= y^2-y^1/x^2-x^1

From the table:

Let:

(x1,y1) = (0,16)

(x2,y2) = (6,4)

so:

m= 4-16/6-0= -12/6=-2

Answer:

10000

Step-by-step explanation:

First, highlight parts of the question. Since it says round to the nearest ten, draw a number line to start. Start by drawing a number line from 9990 to 10000. Whenever a number has the digit from 5 till any number less than 10, you round up. If the number you are trying to round to any digit is less than 5, then you can round down. Since the part of the number that is important for the question is 5.2, we round above. You get 10000 from this.

Answer:

✔ positive

✔ 1

✔ closely

✔ increases

ED2021

Answer:

x=−3

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  7*x-8-(8*x-5)=0

Pull out like factors :  -x - 3  =   -1 • (x + 3)

Solve  :    -x-3 = 0  

Add  3  to both sides of the equation :    -x = 3

Multiply both sides of the equation by (-1) :  x = -3

Answer:

56x^2−99x+40

Step-by-step explanation:

 Evaluate (8x−5)(7x−8)

Apply the distributive property by multiplying each term of 8x−5 by each term of 7x−8.

56x^2−64x−35x+40

Combine −64x and −35x to get −99x.

56x^2−99x+40

Answer: I believe the answer here is 210.

Step-by-step explanation: 210 is the first number that can be divided by 2, 5, 6, 7, and 14 and the quotient is still a natural whole number.

Answer:

6

Step-by-step explanation:

Answer:

x=1/30y + -5/6

Step-by-step explanation:

Answer:

$47.48

Step-by-step explanation:

Let x = the amount owed Sept.

x + x - 2.23 = 292.43  Combine like terms

2x -2.23 = 292.43  Add 2.23 to both sides

2x - 2.23 + 2.23 = 292.43 + 2.23

2x = 294.66  Divide both sides by 2

\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)

x = 147.33 this is the bill for September

Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.

Total:

147.33 + 145.10 = 292.43

292.43 ÷ 3 = 97.48  This is what each will owe rounded to the nearest penny.

Answer:

45324÷5=9064

remainder=4

Hope it helps you!!

Two members of the maths competition team solve 13 problems in 1 hour.

Person=13

Time=1 hour

Then.

Rate=13/1 (person/time)

With the help of question,

Let us consider,

x team members are needed to solve in 1 hour 39 problems,

2M×1/13=1×xM/39

2M/13=x M/39

2M=x M/13

M=26

26 team members are needed to solve in 1 hour 39 problems,

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Term οr phrase used tο describe the factοrs Geοrge is "quality οf life."

In grammar, a phrase—called expressiοn in sοme cοntexts—is a grοup οf wοrds οr singular wοrd acting as a grammatical unit. Fοr instance, the English expressiοn "the very happy squirrel" is a nοun phrase which cοntains the adjective phrase "very happy".

Phrases can cοnsist οf a single wοrd οr a cοmplete sentence. In theοretical linguistics, phrases are οften analysed as units οf syntactic structure such as a cοnstituent. An adjective phrase is a phrase that mοdifies (explains) a nοun.

The term used tο describe the factοrs Geοrge is cοnsidering is "quality οf life."

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Answer:

x = 6

Step-by-step explanation:

This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:

(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²

From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.

3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²

3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²

Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:

8x - 20 = 5x - 2

Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.

8x - 20 = 5x - 2

8x - 20 - 5x = 5x - 2 - 5x

3x - 20 = -2

3x - 20 + 20 = -2 + 20

3x = 18

3x/3 = 18/3

x = 6

Hopefully that's helpful! Let me know if you need more help. :)

The computation of the increased in salary is $500.

Here, we have,

Explanation:

Data provided in the question

Salary for the first year = $50,000

CPI increase during the year = 4%

Overstated inflation = 1% i.e. 5%

The computation of the increased in salary is shown below:

= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year

= $50,000 × 5% - $50,000 × 4%

= $2,500 - $2,000

= $500

Hence, The computation of the increased in salary is $500.

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complete question:

Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.

The required probability of W being greater than 6 is 0.065 or 6.5%.

A probability value represents the likelihood that an occurrence will take place. In terms of percentage notation, it is stated as a number between 0 and 1, or between 0% and 100%. The higher the probability, the more probable it is that the event will take place.

The complement of an event A is the event that A does not occur. In this case, the event A is "W ≤ 6", and its complement is "W > 6".

We are given that P(W ≤ 6) = 0.935. Using the complement rule of probability, we can find the probability of W > 6 as follows:

\($$P(W > 6) = 1 - P(W \leq 6)$$\)

Substituting the given value, we have:

P(W > 6) = 1 - 0.935 = 0.065

Therefore, the probability of W being greater than 6 is 0.065 or 6.5%.

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Answer:

y ≥ -x + 2

y < 2x - 1

Step-by-step explanation:

Solid line:

y ≥ -x + 2

Dashed line:

y < 2x - 1

The system of inequalities associated with the graph is y ≥ 2 and x < 3.

The system of inequalities associated with the graph can be determined by examining the shaded region on the graph. The shaded region represents all the possible solutions that satisfy the given inequalities. To determine the system of inequalities, we need to consider the boundaries of the shaded region. These boundaries are formed by the lines or curves on the graph.

1. Identify the lines or curves that form the boundaries of the shaded region. These lines or curves are usually represented by equations or inequalities. For example, if there is a solid line, it indicates that the boundary is included in the solution. If there is a dashed line, it indicates that the boundary is not included in the solution.

2. Determine the inequalities associated with each boundary line or curve. You can do this by examining the direction of the inequality symbol (<, >, ≤, or ≥) and the location of the line or curve in relation to the shaded region.

3. Write down the inequalities associated with each boundary line or curve. Make sure to include the correct inequality symbol and any necessary constants or variables.

4. Combine all the inequalities together to form the system of inequalities. This can be done by using logical operators such as "and" or "or" to connect the individual inequalities. The "and" operator is used when all the inequalities must be satisfied simultaneously, while the "or" operator is used when at least one of the inequalities must be satisfied. For example, let's say the graph has a solid horizontal line at y = 2, a dashed vertical line at x = 3, and the shaded region is above the horizontal line and to the left of the vertical line. In this case, the system of inequalities would be: - y ≥ 2 (since the shaded region is above the line) - x < 3 (since the shaded region is to the left of the line) Therefore, the system of inequalities associated with the graph is y ≥ 2 and x < 3.

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Answer:

D.

Hope this helps!

Step-by-step explanation:

A and C are both squares and B is a rectangle but is different because the values are in different spots than the on the solid figure shown.

Answer:

Isabel’s retirement savings are made with pretax dollars.

Isabel’s retirement savings may include a contribution from her employer.

Step-by-step explanation:

When you contribute to an IRA account, your contribution is tax deductible. This means that all the money that you contribute to your account comes from pretax dollars. This contribution is limited to $19,500 per year (for 2020) or $26,000 if you are 50 or older.

Your employer can also contribute to your 401(k) account and employer's contribution may be even higher than the employee's. Total contributions including employer's and employee's cannot exceed $57,000 per year (or $63,500 if 50 or older) or the employee's total compensation per year, whichever is lower.

Answer:

176

Step-by-step explanation:

10 cents for 1 message because 9.10\91=.10 which is 10 cents

9.10=91 if you move the dot over once to the right you get your answer so...

17.60 mover to the right would be 176, .1 per text

The number of text messages that she sent if she spent $17.60 will be 176 text messages.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

It cost Faith $9.10 to send 91 text messages. Then the cost of each text message will be given as,

Rate = $9.10 / 91

Rate = $0.1 for each text message

The number of text messages that she sent if she spent $17.60 will be given as,

⇒ 17.60 / 0.1

⇒ 176 text messages

The number of text messages that she sent if she spent $17.60 will be 176 text messages.

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Answer:

A mixed number is a whole number plus a fractional part. An improper fraction is a fraction where the numerator (top number) is larger than the denominator (bottom number). You can convert between mixed numbers and improper fractions without changing the value of the figure.

Step-by-step explanation:

i did it before

Answer:105.60

Step-by-step explanation:your welcome

Answer:

B. 2 + (3^2 * 5) - 3

Step-by-step explanation:

Hey! Sorry for the long wait, I'm still in school and can't really be here 24/7 but I'm proud to announce that I have your answer!

So we have 4 expressions and we need to get our answer to 44. This question already includes the notion that parenthesis placements make a huge difference, so let's review them.

2 + 3^2 * (5 - 3)

Use PEMDAS

2 + 3^2 * 2

2 + 9 * 2

2 + 18

20

2 + (3^2 * 5) - 3

2 + (9 * 5) - 3

2 + 45 - 3

47 - 3

44

(2 + 3^2) * 5 - 3

(2 + 9) * 5 - 3

11 * 5 - 3

55 - 3

52

(2 + 3)^2 * 5 - 3

(5)^2 * 5 - 3

25 * 5 - 3

125 - 3

122

As we can see, B. is our answer due to its equivlance to 44.

Answer:

Step-by-step explanation:

The summary of the statistics given include:

population mean \(\mu\) = 15

sample mean \(\oerline x\) = 13.5

sample size n = 16

standard deviation s = 6

The level of significance ∝ = 0.10

The  null and the alternative hypothesis can be computed as follows:

\(\mathtt{H_o: \mu = 15} \\ \\ \mathtt{H_1 : \mu \neq 15}\)

Since this test is two tailed, the t- test can be calculated by using the formula:

\(t = \dfrac{\overline x - \mu}{\dfrac{\sigma }{\sqrt{n}}}\)

\(t = \dfrac{13.5 - 15}{\dfrac{6}{\sqrt{16}}}\)

\(t = \dfrac{- 1.5}{\dfrac{6}{4}}\)

\(t = \dfrac{- 1.5\times 4}{6}}\)

\(t = \dfrac{- 6.0}{6}}\)

t = - 1

degree of freedom = n - 1

degree of freedom = 16 - 1

degree of freedom = 15

From the standard normal t probability distribution table, the p value when t = -1 at  0.10 level of significance, the p - value = 0.3332

Decision Rule: We fail to reject the null hypothesis since the p-value is greater than the level of significance at 0.10

Conclusion: Therefore, we can conclude that  there is insufficient evidence at the 0.10 level of significance to conclude that the population  mean μ is different than 15.

SOLUTION:

=) x² - 15² = 121

=) x² - 225 = 121

=) x² = 121 + 225

=) x = root 346

=) x = 18.6

Answer:

\(x = 26\) , \(x = 4\)

solving steps:

\((x - 15)^2 = 121\)

\(\sqrt{(x - 15)^2} = \pm \sqrt{121}\)

\(x- 15= \pm 11\)

\(x = 11 + 15\) , \(x = -11 +15\)

\(x = 26\) , \(x = 4\)

Step-by-step explanation:

In a circle

Diameter (d) = 22 cm

radius (r) = d / 2 = 22 /2 = 11 cm

Hope it will help :)

Answer:

3. f(3) = 16

4. h(3) = 4

Step-by-step explanation:

3.

f(x) = x² + 7

f(3) = 3² + 7

f(3) = 16

4.

h(x) = 12/x

h(3) = 12/3

h(3) = 4

Answer: 6

Explanation: The mean of a data set is the sum of the numbers in the data set divided by however many numbers are in the data set.

So, let's begin by adding the numbers.

So we have 3 + 2 + 2 + 12 + 6 + 5 + 14 + 4 which is 48.

Now we divide 48 by the number of numbers in the set which is 8.

48 ÷ 8 is 6.

So the mean of the given data set is 6.

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

C

Step-by-step explanation:

Because they both are the same