Solve the system of linear equations using elimination. −2x − y = 3 −9x − y = 17
A) (2, 1) B) (2, −1) C) (−2, 1) D) (−2, −1)

Answer:

12cm is the answer as the two lowest sides must be more in size than its longest side. 10+12=22

Step-by-step explanation:

Final answer:

The possible length of the third side of a triangle with two sides measuring 10 cm and 18 cm, according to the Triangle Inequality Theorem, must be more than 8 cm and less than 28 cm. Therefore, the valid measures among the given options are 8 cm and 12 cm.

Explanation:

The question concerns determining the possible length of the third side of a triangle when the lengths of the other two sides are given. The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Using this theorem, if we have sides measuring 10 cm and 18 cm, the possible lengths of the third side could be more than the difference of the two given sides and less than their sum. Therefore, the third side must be greater than 8 cm and less than 28 cm.

Among the given options, 6 cm is not a possible length because it is less than 8 cm and would not satisfy the Triangle Inequality Theorem. Similarly, 30 cm is not a possible length because it exceeds the sum of the two given sides. However, both 12 cm and 8 cm are possible lengths for the third side since both values are within the allowable range.

Probability that the total number rolled would be 1 , 2 , 3  is [tex]\frac{1}{6}[/tex] or 0.167 each .

Step-by-step explanation:

Here we have , a pair of 1-6 number generators is tossed once,   . We need to find that  what is the probability that the total number rolled would be..1?.... 2?.... 3?​. Tossed once, and number of outcomes are { 1,2,3,4,5,6 } out of which we need to find probability that the total number rolled would be 1 , 2 , 3 .

Probability for 1: Number 1 will come out of 6 digits present there so,

[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{1}{6}[/tex]

⇒ [tex]Probability = 0.167[/tex]

Probability for 2:Number 2 will come out of 6 digits present there so,

[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{1}{6}[/tex]

⇒ [tex]Probability = 0.167[/tex]

Probability for 3:Number 3 will come out of 6 digits present there so,

[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{1}{6}[/tex]

⇒ [tex]Probability = 0.167[/tex]

Answer:

a) x < 3

b) 3,4,5,6

c) x > 6

Step-by-step explanation:

a) x < 3

b) 3,4,5,6

c) 3x + 7 > x + 19

2x > 12

x > 6

Answer:

c = 10 feet

Step-by-step explanation:

Use the Pythagorean theorem:  a^2 + b^2 = c^2

Step 1:  Plug in the information

(6)^2 + (8)^2 = c^2

36 + 64 = c^2

100 = c^2

sqrt(100) = sqrt(c^2)

10 = c

Answer: c = 10 feet

Answer:

The ball lands  18 feet from where it is kicked.

Step-by-step explanation:

Given : The path of a ball kicked from the ground can be modeled by the equation [tex]y=-\frac{1}{3}(x-3)(x-21)[/tex], where x and y are measured in feet. The x-axis represents the ground.

To find : How far does the ball land from where it is kicked?

Solution :

According to question,

The value of y is zero as it is kicked from ground.

So, [tex]0=-\frac{1}{3}(x-3)(x-21)[/tex]

Applying zero product property,

[tex]a\cdot b\cdot c=0\Rightarrow a=0\text{ or }b=0\text{ or }c=0[/tex]

i.e. [tex]-\frac{1}{3}\cdot (x-3)\cdot (x-21)=0[/tex]

[tex]x-3=0[/tex]

[tex]\Rightarrow x=3[/tex]

[tex]\text{ or }x-21=0[/tex]

[tex]\Rightarrow x=21[/tex]

The distance the ball land from where it is kicked is d=21-3=18.

Therefore, the ball lands  18 feet from where it is kicked.

The ball lands 18 feet from where it is kicked.

To find out how far the ball lands from where it is kicked, we need to determine the horizontal distance traveled by the ball when it hits the ground again. The x-axis represents the ground, so we are looking for the x-coordinate of the point where the ball lands, which is when y = 0.

Given the equation of the path of the ball:

[tex]\[ y = -\frac{1}{3}(x - 3)(x - 21) \][/tex]

We set y to 0 to find the x-coordinates where the ball touches the ground:

[tex]\[ 0 = -\frac{1}{3}(x - 3)(x - 21) \][/tex]

This equation can be factored to:

[tex]\[ 0 = (x - 3)(x - 21) \][/tex]

Setting each factor equal to zero gives us two solutions for x:

[tex]\[ x - 3 = 0 \quad \text{or} \quad x - 21 = 0 \][/tex]

[tex]\[ x = 3 \quad \text{or} \quad x = 21 \][/tex]

These solutions represent the x-coordinates where the ball is kicked (x = 3) and where it lands (x = 21). To find the distance between these two points, we subtract the smaller x-coordinate from the larger one:

 [tex]\[ \text{Distance} = 21 - 3 = 18 \text{ feet} \][/tex]

However, since the ball is kicked from the ground and lands back on the ground, the distance it travels horizontally is the absolute value of the difference between the two x-coordinates:

[tex]\[ \text{Horizontal distance} = |21 - 3| = |18| = 18 \text{ feet} \][/tex]

Answer:  (-6)³z²  =  -216z²

Step-by-step explanation:

(-6)(-6)(-6)z·z

-6 is multiplied by itself 3 times so gets an exponent of 3 --> (-6)³

z is multiplied by itself 2 times so gets an exponent of 2 --> z²

Answer:

17.0°

Step-by-step explanation:

We want to solve

[tex] \tan(x) = \frac{3}{10} [/tex]

We take inverse tangent of both sides using a scientific calculator to get:

[tex]x = { \tan}^{ - 1} ( \frac{3}{10} )[/tex]

[tex]x = 16.6992[/tex]

We round to the nearest tenth to get;

[tex]x = 17.0 \degree[/tex]

Therefore the value of x is 17.0°

Answer:

42% acid

Step-by-step explanation:

Suppose that these two storage containers are filled to complete capacity?

That makes the second container have 3 volume parts and the first container having 2 volume parts.

v*(1.50)= (3/2)*v

First Container     2v       30% acid

Second Container    3v       50% acid

The mixture of all of this is in the third container. Two parts plus three parts is 5 parts for the mix volume.

=(2*30+3*50)/5

=210/5

=42

So,

42 % Acid, mixture

Final answer:

After calculating the quantities of acid from both containers and their total volume, the final acid concentration in the mixture in the third container is found to be 42%.

Explanation:

The student has asked about finding the percentage of acid in a third container after mixing two solutions with different acid concentrations. This question involves proportion and percentage calculations, which are commonly covered in high school mathematics.

To find the final concentration of acid in the third container, we can use the formula final concentration = (quantity of acid in container 1 + quantity of acid in container 2) / total volume. Assume the first container has a volume of V liters. Since the second container is 50% larger, it has a volume of 1.5V liters.

Acid in the first container = V liters × 30% = 0.3V liters

Acid in the second container = 1.5V liters × 50% = 0.75V liters

Total volume = V + 1.5V = 2.5V liters

Thus, the final concentration of acid = (0.3V + 0.75V) / 2.5V = 1.05V / 2.5V = 42%.

The final acid concentration in the third container is 42%.

Answer:

[tex]3.6 {m}^{2} [/tex]

Step-by-step explanation:

The area of a rectangle is length times width.

We divide the polygon into 4 rectangles:

The area of the first rectangle is :

[tex]0.4 \times 0.4 = 0.16 {m}^{2} [/tex]

The area of the second rectangle is

[tex]2.4 \times 0.6 = 1.44 {m}^{2} [/tex]

The area of the 3rd rectangle is

[tex]1.6 \times 1 = 1.6 {m}^{2} [/tex]

The area of the fourth rectangle is

[tex]0.4 \times 1 = 0.4 {m}^{2} [/tex]

Putting all together, the area of the polygon is;

0.16+1.44+1.6+0.4=3.6m²

Answer:

what was she buying ?total she has 100 dollars

Step-by-step explanation:

After a depreciation of 8% per year for 3 years, the value of Li's boat depreciates to approximately $136258, according to the formula for calculating the value of an asset after a certain number of years of depreciation.

The value of an asset after a certain number of years, taking into account annual depreciation, can be calculated using the formula: Preliminary Value x ((100 - Depreciation Rate) / 100) ^ Years Of Depreciation.

Given that the initial value of Li's boat was $170,000 and it depreciated by 8% each year, we can substitute these values into the formula to find the value of the boat on 1st January 2019 (after 3 years).

So, the boat's value would be: $170,000 x ((100 - 8) / 100) ^ 3. This simplifies to $170,000 x (0.92) ^ 3, yielding a final value of approximately $136258

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Answer:

it would take Edward 8 to pay back his debt

Step-by-step explanation:

every 2 days he pays his parents 5 bucks so because 5 times 4 equals 20 he would have to multiply the 4 by 2 and that gets you 8 days

Final answer:

Edward will pay back his $20 debt to his parents by repaying $5 every 2 days; thus, it will take him 8 days in total to repay the full amount.

Explanation:

The question asks us to determine how long it will take for Edward to pay back a $20 debt to his parents if he repays $5 every 2 days. To solve this, we can set up a simple table showing the cumulative amount paid over time, and then establish a corresponding graph if needed. Here's how the repayment schedule works out:

Day 0: $0 paid back

Day 2: $5 paid back (Total: $5)

Day 4: $5 paid back (Total: $10)

Day 6: $5 paid back (Total: $15)

Day 8: $5 paid back (Total: $20)

From the table, it is clear that it will take Edward 8 days to pay back the full $20 debt.

The type of triangle is acute angled triangle.

Solution:

Let us first define the type of triangles based on angles.

If all angles of a triangle are less than 90°, then it is acute angled triangle.

If any one angle of a triangle is exactly 90°, then it is right angled triangle.

If any one angle of a triangle is more than 90°, then it is obtuse angled triangle.

Given angles of a triangle:

47°, 68° and 65°

Here all the three angles are less than 90°.

Hence it is a acute angled triangle.

Answer:

{ 9/2 , square root of 100, 5.123}

Step-by-step explanation:

The answer would be an option (D) {5.123..., 1/2, -65}. This set does not contain any irrational numbers.

Real numbers are defined as the value of a continuous quantity that can represent a distance along a line of a real number in mathematics. Rational and irrational numbers are both real numbers. Rational numbers such as integers (-7, 0, 4), fractions(5/2,7/2, 4.2), and irrational numbers such as √5, π, etc., are all real numbers.

According to the given options

(A) {-5.12,pi,30}

Here the irrational number is pi

(B) {square root of 80, 100, 6.56}

Here the irrational number is the square root of 80 i.e. (√80)

(C) { 9/2, square root of 100, 5.123}

Here the irrational number is the square root of 100i.e. (√100)

(D) {5.123..., 1/2, -65}

Here this set does not contain any irrational numbers

Hence, the answer would be option (D) {5.123..., 1/2, -65}. This set does not contain any irrational numbers.

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The perimeter of the triangle = 60 cm

Solution:

The given triangle is a right triangle.

Base of the triangle = 15 cm

Hypotenuse = 25 cm

Let the unknown side of the triangle be x.

Using Pythagoras theorem,

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

[tex]x^2+15^2=25^2[/tex]

[tex]x^2+225=625[/tex]

Subtract 225 from both sides,

[tex]x^2=400[/tex]

Taking square root on both sides, we get

x = 20

The unknown side of the triangle is 20 cm.

The perimeter of the triangle = Sum of the sides of the triangle

                                                 = 15 cm + 25 cm + 20 cm

                                                 = 60 cm

The perimeter of the triangle = 60 cm

Answer:

If the situation is: Sebastian has researched the following scoring schemes: one that has 5 question choices, one that has 4 question choices, and two that have 3 question choices. Which scoring scheme is the most favorable to the test taker?

Then I believe the answer is scheme D

Step-by-step explanation:

edge ( Brainliest if you can)

Answer:

4 is a factor of 20.

Step-by-step explanation:

Final answer:

The true statement regarding factors is that 4 is a factor of 20. This is proven by dividing 20 by 4, which results in 5 without any remainder.

Explanation:

The question asks which statement is true regarding factors of numbers. A factor is a number that can divide another number without leaving a remainder. For example, 4 is a factor of 20 because when you divide 20 by 4, there is no remainder, and you get 5 which is a whole number. So the true statement among the given options is that 4 is a factor of 20.

Looking at the other options, 4 is not a factor of 18 since 18 divided by 4 gives you 4 with a remainder of 2. Similarly, 4 is not a factor of 26 because 26 divided by 4 is 6 with a remainder of 2. Lastly, 4 is not a factor of 30 because 30 divided by 4 is 7 with a remainder of 2. Therefore, the correct answer is that 4 is a factor of 20.

Answer:

4/5

Step-by-step explanation:

2/3 is  0.66666666

3/12 is 0.25

4/5 is 0.8

3/4 is 0.75

The largest fraction is 4/5.

Comparing Of Fractions.

To compare these fractions, make sure they all have the same denominator.

The lowest common factor is 60

Now, express each fraction with a denominator of 60.

2/3 = 40/60

3/12 = 15/60

4/5 = 48/60

3/4 = 45/60

Therefore, the largest fraction is 48/60 which is equivalent to 4/5.

So, 4/5 is the largest fraction among the given fractions.

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I believe that y=17.8

I hope that helps you!

Answer:

[tex]\huge\boxed{(-1)(4-c)=c-4}[/tex]

Step-by-step explanation:

[tex]\text{The distributive proeperty:}\ a(b+c)=ab+ac\\\\(-1)(4-c)=(-1)(4)+(-1)(-c)=-4+c=c-4[/tex]

Answer:

The function increases at a constant multiplicative rate.

Step-by-step explanation:

I had it

The correct conclusion about the function is 2: "the function increases at a constant multiplicative rate".

Given information:

The value of function f(x) is shown in the below table:

x            0   1    2      3

f(x)         2   3   4.5   6.75

So, the value of x changes from 0 to 3, and the value of function f(x) changes from 2 to 6.75.

Following observations can be made using the given values:

From the above conclusions and the given options, it can be said that the correct option is 2.

Therefore, the correct conclusion about the function is 2: "the function increases at a constant multiplicative rate".

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Answer: D. 78cm2

Step-by-step explanation:

SA=B+1/2ph

SA=28+1/2(20)(5)

SA=78cm2

Answer:

78 cm2

SA = B +  

1

2

ph

SA = 28 +  

1

2

(20)(5)

SA = 78 cm2

Answer:

12

Step-by-step explanation:

divide 9 by 3/5 or .75

Answer:

the correct answer for this question is

1¹/³ is 0.333'

and the second one is 1.111'

Answer:

Place one on the 3rd mark after one, then the 5th mark after 2

Step-by-step explanation:

Answer:

C I think.

Step-by-step explanation:

=============================================

Why this is the answer:

The rectangle has 3 circles packed inside it each with the same radius r. The diameter of each circle is 2r, so 3 of them result in a total rectangle length of 3*2r = 6r.

While one circle has a circumference of C = 2*pi*r = 2*3.14*r = 6.28r

Comparing 6.28r and 6r, we see that 6.28r is larger than 6r

6.28r > 6r

6.28 > 6 ... dividing both sides by r (the inequality sign doesn't change because r > 0)

This is true for any value of r.

The mean absolute deviation for the given data set is 45.1.

To find the mean absolute deviation for a given data set, follow these steps:

Find the mean of the data set by adding up all the values and dividing by the total number of values.

For each value in the data set, find the absolute difference between the value and the mean.

Find the average of these absolute differences by summing them up and dividing by the total number of values.

In this case, the data set is {122,132,155,198,213,225,261,280}.

The mean of this data set is 196. The absolute differences from the mean are: 74, 64, 41, 2, 17, 29, 65, 84.

The average of these absolute differences is 45.1. Therefore, the mean absolute deviation for the data set is 45.1.

Answer:

y-9= -4(x+1)

Step-by-step explanation:

First, you should know what the format for point slope form is. y-y1=m(x-x1). Now, fill in the points to the x1 and y1 variables. It doesn't matter what ordered pair you use. If the number you fill in is negative, for example, -1, change it to a positive 1. If you're plugging in a positive number such as 9, it becomes -9. Now, it may look like this: y-9=m(x+1). However, you still need to find slope. You can use the expression y-y1/x-x1. 9-1=8. -1-1= -2. So, your slope is 8/-2. However, you can simplify this to -4. Now, plug in -4 to your equation to have your final answer: y-9=-4(x+1).

Option 1. [tex](-2)(5x) + (-2)(-\frac{3}{4})[/tex] and option 4.[tex]-10x + \frac{3}{2}[/tex] are equivalent to [tex]-2(5x-\frac{3}{4} ).[/tex]

Step-by-step explanation:

Step 1:

The given expression is expanded as follows.

The -2 is multiplied with the 5x and then the -2 is multiplied with the [tex]-\frac{3}{4}[/tex].

So the expression becomes as follows;

[tex]-2(5x-\frac{3}{4} ) = (-2)(5x) + (-2)(-\frac{3}{4}).[/tex]

This is the first option given so the first expression is equivalent.

Step 2:

[tex]-2(5x-\frac{3}{4} ) = (-2)(5x) + (-2)(-\frac{3}{4}) = -10x + \frac{6}{4} = -10x + \frac{3}{2} .[/tex]

Of the other four options, only the fourth expression has the fraction [tex]\frac{3}{2}[/tex] so the fourth expression is also equivalent.

Expressions 1 and 4 are equivalent to the given expression.

Answer:

Hello, Your answer will be,D) 132cm²

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