ten times the smallest of three consecutive integers is twenty two more than three times the sum of the integers. find the integers​

The y-coordinate for the solution to the system of equations is -3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.

Given system of equations are,

6x + 11y = -3

4x + y = 17

To solve these equations, we must first remove x or y terms.

To do this we must make the removing term's coefficients the same.

In this case, let's remove y.

We are multiplying the second equation by 11. Then,

6x + 11y = -3

44x + 11y = 187

Now we will subtract the second equation from the first.

- 38x  = -190

x = 5

Now to find y, substitute x in any one of the equations.

6 * 5 + 11y = -3

11y = -33

y = -3

Hence the y-coordinate for the solution to the system of equations is -3.

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A two-sample t-test for a difference in means was conducted to investigate whether the average time to swim a lap with the freestyle stroke is different from the average time to swim a lap with the butterfly stroke.

With all conditions for inference met, the test produced a test statistic of t = -2.073 and a p- value of 0.042. Based on the p-value and a significance level of a = 0.05, which of the following is a correct conclusion? There is convincing statistical evidence that the average time to swim a lap with the freestyle stroke is less than the average time to swim a lap with the butterfly stroke. B There is convincing statistical evidence that the average time to swim a lap with the freestyle stroke is different from the average time to swim a lap with the butterfly stroke. С There is not convincing statistical evidence that the average time to swim a lap with the freestyle stroke is greater than the average time to swim a lap with the butterfly stroke. D There is not convincing statistical evidence that the average time to swim a lap with the freestyle stroke is different from the average time to swim a lap with the butterfly stroke. E There is not convincing statistical evidence that the average time to swim a lap with the freestyle stroke is less than the average time to swim a lap with the butterfly stroke.

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The equation G + S + M = 100 represents the number of pounds of glossy, semi-gloss, and matte paper in a 100-pound package. The cost equation is $5.60G + $4.25S + $3.75M = $480. The semi-gloss and matte paper equation is S + M = 0.5(100) or S + M = 50. This equation can be solved using the row-reduction method.

Let G, S, and M represent the number of pounds of glossy, semi-gloss, and matte paper, respectively, in a 100-pound package. The problem's first sentence yields the equation: G + S + M = 100The costs and amounts are given for glossy, semi-gloss, and matte paper. We can use this information to develop two more equations. First, the cost equation is:$5.50G + $4.25S + $3.75M = $480Multiplying both sides by 100 to eliminate decimals gives:550G + 425S + 375M = 48000Finally, we are given that half the package's weight consists of semi-gloss and matte paper. We can translate this statement into another equation: S + M = 0.5(100)or S + M = 50We can then write the system of equations in the matrix form as follows:[1 1 1; 0 1 1; 550 425 375] [G; S; M] = [100; 50; 48000]Using matrix inverse, we have[G; S; M] = [1 1 1; 0 1 1; 550 425 375]^-1[100; 50; 48000]This equation can be solved using the row-reduction method.

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Answer:

.75 / 3 = x / 25

.75(25) = 3x

3x = 18.75, so x = 6.25 inches

= 6 1/4 inches

Answer:

True

Step-by-step explanation:

Answer:

The answer is 8 please Brainlist me

Step-by-step explanation:

6^2+h^2=10^2

36+h^2=100

Solving for h gives 8

Answer:

height = 8

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

with hypotenuse = 10 and legs 12 ÷ 2 = 6 and height h , then

h² + 6² = 10²

h² + 36 = 100 ( subtract 36 from both sides )

h² = 64 ( take square root of both sides )

h = \(\sqrt{64} \) = 8

Answer:

84

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Given

(- 6)(- 2x - 4y) , substitute x = 1, y = 3 into the expression

= (- 6)(- 2(1) - 4(3) )

= (- 6)(- 2 - 12)

= (- 6)(- 14)

= - 6 × - 14

= 84

we can use trigonometry

where a is the angle

oppositeside and the oppiste side from the angle a

so replacing

the measure of theta is 11.57°

The solutions to the quadratic equation x² = -7x - 8 are x equals  \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

Given the quadratic equation in the question:

x² = -7x - 8

To find the solutions of the quadratic equation x² = -7x - 8, we can rearrange it into standard quadratic form, which is ax² + bx + c = 0, and apply the quadratic formula.

x² = -7x - 8

x² + 7x + 8 = 0

a = 1, b = 7 and c = 8

Plug these into the quadratic formula: ±

\(x = \frac{-b \± \sqrt{b^2 -4(ac)}}{2a} \\\\x = \frac{-7 \± \sqrt{7^2 -4(1*8)}}{2*1} \\\\x = \frac{-7 \± \sqrt{49 -4(8)}}{2} \\\\x = \frac{-7 \± \sqrt{49 - 32}}{2} \\\\x = \frac{-7 \± \sqrt{17}}{2} \\\\x = \frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\)

Therefore, the values of x are \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

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Answer: -1/4

Step-by-step explanation:

(-7+3)/(7+9)

-4/16

-1/4

Answer & Step-by-step explanation:

(5√2 - 4√3)(5√2 - 4√3)

We can rewrite this equation into a more simpler form.

(5√2 - 4√3)²

Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.

When you multiply a radical by itself, then the base number will be by itself as the product.

So......

(5)² = 25

(4)² = 16

(√2)² = 2

(√3)² = 3

So, now the equation looks like this..

(25 * 2) + (16 * 3)

Multiply the terms.

50 + 48

Add the numbers.

50 + 48 = 98

So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.

The possible heights of the parallelogram are 2/3 and 3

So, the correct option is A and C

The given expression:

area of a parallelogram, A = 12 square unit

a side of the parallelogram,  = 18 units

another side of the parallelogram = 6 units

let,

the height of the parallelogram, h

The area of a parallelogram is given as;

Area = base (b) x height (h)

height (h) = Area/base(b)

From the given sides, the possible heights of the parallelogram are calculated as follows;

if the base, b = 18 units

height(h) =  12/18

              = 2/3

Also, if the base, b = 6 units

height(h) =  12/6

              = 2

Therefore, the possible heights of the parallelogram are 2/3 and 2

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Answer:

my ans will be wrong also and right also 50%5$chances it is an opposite angle so it is in out manner so iys sum is 180 so we have to subbtract

Step-by-step explanation:

65०to 180०(180०-65०=115०) i think ans is 115०the missing angle measurement is 115०in my opinion

Answer:

24\(x^{2}\) - 2x - 15

Step-by-step explanation:

f(x) = 4x + 3

g(x) = 6x - 5

(4x + 3) (6x - 5)

24\(x^{2}\) - 20x + 18x - 15

24\(x^{2}\) - 2x - 15

The domain for plotting the growth function will be [0, 5].

A function's domain is the set of its possible inputs or the set of input values for which the function is defined. The domain is the set of objects that the machine will accept as inputs in the function machine metaphor.

If the f(n) = 11.04 cm

By substituting the value in the equation,

11.04 = 10(1.02)n

(1.02)n = 11.04/10

(1.02)n = 1.104

Take log on both the sides,

log(1.02)n = log(1.104)

n[log(1.02)] = log(1.104)

n = 4.996 ≈ 5 years

Therefore, the span of the study was 0–5 years.

As a result, the domain for plotting the growth function will be [0, 5].

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Answer:

838.08 in³

Step-by-step explanation:

volume of tank = (36×24×24)+(½×3.14×12²×24)

= 20,736 + 5,425.92

= 26,161.92 in³

the remaining water = 27,000 - 26,161.92

= 838.08 in³

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

The lines given by hx,y,zi = ht + 4, 4t + 5, t − 2i and hx,y,zi = h2s + 3, s + 1, 2s − 3i do not intersect.

We can determine whether two lines intersect by setting their equations equal to each other and solving for the values of x, y, and z. Setting the given equations equal to each other, we have:

ht + 4 = h2s + 3

4t + 5 = s + 1

t − 2 = 2s − 3

From the second equation, we have s = 4t - 4. Substituting this into the third equation, we get t = 3. Then, using t = 3 in the first equation, we get h = -1/3. Substituting these values into the second equation, we get s = 8. However, using these values in the first equation leads to a contradiction: -1/3 ≠ 19/3. Therefore, the lines do not intersect.

Therefore, the lines given by hx,y,zi = ht + 4, 4t + 5, t − 2i and hx,y,zi = h2s + 3, s + 1, 2s − 3i do not intersect.

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Answer: the answer is A

Step-by-step explanation:

Answer:

x < 0

( x is less than 0 )

Explaination:

That open circle point means the answer will not be equal to, which would be options including <(less than) or >(greater than).

If the circle was closed you would use these symbols, ≤(less than or equal to) and ≥(greater than or equal to)

The open circle lands on 0 and the arrow points to the left into the negative numbers. The answer should be x<0 or x is less than 0.

A way to help remember less than vs greater than on a line like this is that the arrow points in the same direction as the symbol! For example, your question shows an arrow going to the left, and the symbol used for it is less than (<) which also looks like a left pointing arrow.

Hope this helps out! :D

Answer:

3.2

Step-by-step explanation:

Under a majority system, if a political party wins 39% of the vote, they would likely not win a majority of the seats. They would likely win a proportionate number of seats based on their percentage of the vote.

Under a proportional representation system, a political party winning 39% of the vote would have their seat share be 39% as well.

In a majority system, the candidate or party that wins the most votes in a particular district is awarded the seat for that district. This can lead to a situation where a party that receives a minority of the overall vote can still end up with a majority of the seats if they win a majority of the districts.

On the other hand, proportional representation systems aim to ensure that the number of seats a party receives is proportional to the number of votes they receive. This means that a party that receives 39% of the vote would be awarded 39% of the seats. This system can be considered more fair as it ensures that a party's representation in the government is directly proportional to the number of votes they received.

In summary, both system have their own advantages and disadvantages, majority system can lead to a more stable government with clear majority but can be less representative of the popular will, while proportional system can be more representative but can lead to a more fragmented government with more coalition building.

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Answer:\(2x^{3} mr^{2}\)

Step-by-step explanation:

2 * xxx * m * rr

2 \(x^{3}\) m \(r^{2}\)

This is because \(x^{3}\) is the same as multiplying x by its self, three times. The same goes for variables m and r.

Answer:

I believe the answer would be 30 people.

Step-by-step explanation:

To calculate the percentage out of a group of people or items, you just multiply the percent (in decimal form) by the amount of people you want it out of. For example: A 0.1% chance out of 1,000 people would be a chance and expectancy of 1 person out of those 1,000 people. In this case it's 3% for every person. 0.03 • 1,000 is 30.

b) The population parameter in this context is the proportion of all Mason students who skip breakfast due to busy schedules and other reasons. c) The null and alternative hypotheses can be stated as H0: p = 0.8, Ha: p < 0.8.

where p represents the population proportion of Mason students who skip breakfast due to busy schedules and other reasons. The null hypothesis states that the proportion of students who skip breakfast is equal to 0.8, while the alternative hypothesis states that it is less than 0.8. This is a one-tailed test as we are interested in the proportion being less than 0.8. The significance level of the test needs to be specified in order to carry out hypothesis testing.

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Answer:

No.  5x and 5x² are not like terms.

When a variable is raised to two different powers, they can not be added together.

Another way to look at it is to note that:

5x + 5x² ≡ 5x(1 + x)

It is more obvious there that 1 and x are not like terms, thus neither are 5x and 5x², though they do have common factors.

the restaurant used 754,040 ounces of cream last year.

What is an Equations?

Equations are statements in mathematics that consist of two algebraic expressions separated by an equals (=) sign, indicating the equivalence between the expressions on either side. Equations can be solved to determine the value of a variable that represents an unknown quantity. A statement that does not have an "equal to" symbol is not considered an equation and is instead referred to as an expression.

If the restaurant used 50% less cream this year compared to last year, then it means that this year's usage is 50% of last year's usage.

Let x be the amount of cream used last year.

Then we can set up the following equation:

x * 50% = 377,020

To solve for x, we need to isolate it on one side of the equation.

x * 50% = 377,020

x = 377,020 / 50%

To convert 50% to a decimal, we divide it by 100:

x = 377,020 / 0.5

x = 754,040

Therefore, the restaurant used 754,040 ounces of cream last year.

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Data

Option 1

• $1000.50 per year until you are 21.

Option 2

• $1 this year, $2 next year, and so on, doubling the amount until 21.

Procedure

• Option 1

• Option 2

Based on these equations, we would need to know the year that she would start giving us money and if the account had some money previously, as it would be added as a constant.

For example, if we had already $800, then we would have to add as follows:

Answer: we would have to know if the account had some money previously.

The equation in slope intercept form to represent the equation is y = 2.5x

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the following points

(x, y) = (0, 0) and (10, 25)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 0

y = mx

Next, we have

25 = 10m

This gives

m = 2.5

So, we have

y = 2.5x

Hence, the equation is 2.5x

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