2y = 4

-x = -3
What is the solution to this system of equations?

The sum of the distances of R to Q and P to Q is 9 units.

Solution:

Given points are P(–3, 6), Q(3, 6) and R(3, 3).

Distance between two points formula:

   [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance from R to Q:

Here [tex]x_1=3, y_1=3, x_2=3, y_2=6[/tex]

Substitute these in the given formula, we get

Distance = [tex]\sqrt{(3-3)^2+(6-3)^2}[/tex]  

               [tex]=\sqrt{0+9}[/tex]

               = 3 units

Distance from R to Q is 3 units.

Distance from P to Q:

Here [tex]x_1=-3, y_1=6, x_2=3, y_2=6[/tex]

Substitute these in the given formula, we get

Distance = [tex]\sqrt{(3-(-3))^2+(6-6)^2}[/tex]  

               [tex]=\sqrt{36+0}[/tex]

               = 6 units

Distance from P to Q is 6 units.

Sum of the distances = 3 + 6 = 9 units

Hence the sum of the distances of R to Q and P to Q is 9 units.

Answer:

the answer is 8

Answer:

the answer is 8 because i just did it on E.B

Answer:

The correct statements are:

• Second statement: 0.25 indicates an unlikely event

• Third statement: 0.75 indicates a likely event

• Last statement: 0.5 indicates equally likely to occur or not occur.

Explanation:

Since the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring, you can translate it into:

You migth split the likelihood in some notorius outcomes:

That means that:

The correct statements are:

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

If probability is 0.5, there are equal chances that the event might occur or would not occur. If probability is less than 0,5, it is unlikely the even t would occur and if it is greater than 0.5, it is likely the event would occur.

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Answer:

I have two ideas on how to solve the question for anyone that befit you you choose I hope it helps

but I prefer the second one.

Kris walks a total of 7 miles over the course of 8 days by multiplying the daily walking distance of 7/8 mile by 8 days.

To calculate the total distance Kris walks in 8 days, where she walks 7/8 mile each day, we need to perform a multiplication of the daily distance by the number of days.

The calculation will be:

This is because each 7/8 gets multiplied by 8, effectively cancelling out the denominator of 8, resulting in 7 whole miles.

Therefore, Kris walks a total of 7 miles over the course of 8 days.

Answer:

2n

Step-by-step explanation:

Look at the photo below for the details.

:)

Diameter of circle is known as greatest chord of the circle.

Number of regions created by n unique diameter is 2n.

Diameter of circle is two times of its radius.

By 1 diameter, two region is created in circle

By 2 diameter, 4 region is created in circle.

By 3 diameter , 6 region is created in circle.

Therefore, by n unique diameters, 2n regions is created in circle.

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Answer:22

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

7x + 4x

7(2) + 4(2)

14 + 8

Answer= 22

Hope this helped!! :)

The product of multiplying 7/9 and 6 is 42/9, which can also be expressed as the mixed number 4 and 2/3.

Finding the product of two numbers in mathematics is a fundamental concept which involves multiplying the numbers together.

In the specific case of multiplying a fraction by a whole number, like 7/9 and 6, the process is straightforward.

To calculate 7/9 multiplied by 6, you can think of the whole number 6 as a fraction with a denominator of 1, which would make the problem 7/9 x 6/1.

When multiplying fractions, you simply multiply the numerators together and then multiply the denominators together. In this instance, the multiplication would look like (7 x 6) for the numerator and (9 x 1) for the denominator.

That simplifies to 42 over 9, which can be further simplified or left as an improper fraction depending on the context of the problem or the instructor's directions.

In the case of 42/9, which is already simplified, we can conclude that the product of 7/9 and 6 is 42/9, or 4 and 2/3 when written as a mixed number.

Answer:

System:

Explanation:

Rewrite the question to delete the typos:

1. Name your variables:

2. Translate each verbal statement into an algebraic expression:

a) Lindsay is 5 years younger than Mark

b) Seven years ago, the sum of their ages was 31

                       L + M - 14 = 31

                       L + M = 31 + 14

                       L + M = 45 ← second equation

3. Write the two equations:

System:

The system of equations representing Lindsay being 5 years younger than Mark, and the sum of their ages seven years ago being 31, are: I = m - 5 and I + m = 45.

To represent this situation, we can set up the following system of equations:

Let's simplify the second equation:

I - 7 + m - 7 = 31, simplifies to:

I + m - 14 = 31, then:

I + m = 45

So, the system of equations representing this situation is:

The formula, when solved for B is, [tex]\frac{1}{2}(A-PH)[/tex].

Step-by-step explanation:

Given,

Formula used to find surface area of a rectangular prism

A = PH + 2B

Solving the formula for B;

Subtracting PH from both sides

[tex]A-PH=PH-PH+2B\\A-PH=2B\\2B=A-PH[/tex]

Dividing both sides by 2

[tex]\frac{2B}{2}=\frac{A-PH}{2}\\\\B=\frac{1}{2}(A-PH)[/tex]

The formula, when solved for B is, [tex]\frac{1}{2}(A-PH)[/tex].

Keywords: subtraction, division

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Final answer:

To solve for B in the formula A=PH+2B, subtract PH from A and then divide by 2, resulting in B = (A - PH) / 2.

Explanation:

The student is asking to solve for B from the surface area formula of a rectangular prism, given by A=PH+2B, where A is the surface area, P is the perimeter of the base, H is the height of the prism, and B is the area of the base.

To solve for B, we'll rearrange the formula as follows:

First, we subtract the term PH from both sides of the equation, which gives us A - PH = 2B.

Then, we divide both sides by 2 to isolate B, resulting in B = (A - PH) / 2.

This process reveals that the base area B can be found by taking the total surface area A, subtracting the product of the perimeter of the base and the height, and then dividing by 2.

Answer:

A, B, and D

Step-by-step explanation:

To subtract like terms, you're supposed to subtract the coefficients, so Option 1 is correct. The statement like terms are terms that contain the same variable, raised to the same power, is true, so Option 2 is correct. The simplified expression is -4 - 3y + 3z, so Option 3 is wrong and Option 4 is correct. Option 5, -(-x) = -x is wrong, so Option 5 is not correct. Therefore, the answers are Options 1, 2, and 4 (or A, B, and D).

Hope this helps! I got it right on Edgen.

Answer:

a b d

Step-by-step explanation:

Answer:

Step-by-step explanation:

3^-8 × 3^4

Following the indices rule

a^y × a^z = a^(y+z)

:- = 3^(-8+4)

= 3^-4

= 1/3⁴

= 1/81

Answer:

x = 17.

Step-by-step explanation:

We know that the two angles are supplementary (equal 180) as they are found on a straight line. Therefore,

(5x - 18) + (4x + 45) = 180.

9x + 27 = 180.

9x = 153.

x = 17.

Answer:

x= -2 and y= 3

Step-by-step explanation:

since x = 2y -8, substitute this in the first equation

Thus, -3(2y-8) + 2y =12

-6y+24+2y=12

-6y+2y=12-24

-4y=-12

y=3

put the value of y in the second equation,

x=2y-8

x=2(3)-8

x=6-8

x=-2

So, x=-2. y=3

Answer:

  (x, y) = (-2, 3)

Step-by-step explanation:

You want the solution to the system of equations ...

Using the second equation, we can add 8 to get an expression for 2y:

  x +8 = 2y

Substituting this into the first equation gives ...

  -3x +(x +8) = 12

  -2x = 4 . . . . . . . . . simplify, subtract 8

  x = -2 . . . . . . . . divide by -2

  -2 +8 = 2y . . . . substitute for x in the rearranged equation 2

  y = 6/2 = 3 . . . . . . simplify, divide by 2

The solution is (x, y) = (-2, 3).

Answer:

Yes it is. 65 as a decimal is .65, 5/8 is .625, so 65% is greater

Step-by-step explanation:

the answer to your question is yes

9)

- 12xy/7x⁴ × 21x⁵y²/4y = - 9x²y²

10)

- 3x⁵/x¹³ × 2x¹⁰y/15y² = -2x²/5y

11)

4xy¹¹/x⁷y⁶ × 6x⁸y/8x³ = 3y⁶/x

12)

y¹⁰/2x³ × 20x¹⁴/xy⁶ = 10x¹⁰y⁴

13)

5x⁻²/3x × 2y³/x¹⁰ = 10y³/3x¹³

14)

(5xy/8x⁻¹y²)² × 26y³/5x²y⁵ =

= 25x⁴/64y² × 26/5x²y²

= 65x²/32y⁴

[tex]\boxed{k=4}[/tex]

We know that the slope of a line is given by:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ Where: \\ \\ (x_{1},y_{1}) \ and \ (x_{2},y_{2}) \ are \ points \ that \ lie \ on \ the \ line \\ \\ \\ Here: \\ \\ (x_{1},y_{1})=(-2,k) \\ \\ (x_{2},y_{2})=(2,0) \\ \\ m=-1 \\ \\ \\ -1=\frac{0-k}{2-(-2)} \\ \\ -1=\frac{-k}{4} \\ \\ -k=4(-1) \\ \\ \boxed{k=4}[/tex]

Proportional relationships lines, rates of change, and slope:

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Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The fraction of bran muffins is expressed as bran muffins over total muffins.

Total muffins = 6 + 2 + 4 = 12 and bran muffins = 4, thus

fraction = [tex]\frac{4}{12}[/tex] ← divide ( cancel ) each value by 4 )

fraction = [tex]\frac{1}{3}[/tex] ← in simplest form

Answer:

1/3

Step-by-step explanation:

4 bran muffins out of 12 muffins in total.

4/12

4 ÷ 4 / 12 ÷ 4

1 / 3

Answer: The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.

Step-by-step explanation:

The standard deviation of the sampling distribution = [tex]\sqrt{\dfrac{p(1-p)}{n}}[/tex] , where p= population proportion and n = sample size.

Let p be the proportion of  fish in a river are catfish.

As per given , we have

p= 0.47

n= 25

The, the standard deviation of the sampling distribution will be [tex]\sqrt{\dfrac{0.47(1-0.47)}{25}}[/tex]

[tex]=\sqrt{0.009964}\approx0.0998[/tex]

The 10% condition : Sample sizes should be no more than 10% of the population.

But a river can have more than 250 fish [where 10% of 250 =25 (sample size)]

i.e. The 10% condition is met because it is very likely there are more than 250 fish in the river.

So the correct answer is "The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river."

Answer:

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 catfish in the river.

Step-by-step explanation:

I got it right on the quiz

Answer:

For A) it is possible that the speed  the cat is going over the speed limit

For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.

Step-by-step explanation:

Data provided in the question:

Maximum error  on a car speedometer = 1.6% = 0.016

Maximum Speed limit on the road = 65 miles per hour

Now,

The error will be ± 1.6%

Now,

When the speedometer reads 64 miles per hour

The possible speed of the car can be

64 miles per hour + Error

= 64 + [0.016 × 64]

= 64 + 1.024

= 65.024 miles per hour

or

The speed can be

64 miles per hour - Error

= 64 - [0.016 × 64]

= 64 - 1.024

= 62.976 miles per hour

Hence,

For A) it is possible that the speed  the cat is going over the speed limit

For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.

Answer:

0.5 gjhnvbbbvsadasbkkkhhcccf ggghj g

The probability that we will get a lead role, given that we are chosen to be in the play is 0.5.

Probability is the ratio that shows the likelihood of an event occurring from a given set of possible events.

We can find the required probability below:

The probability that we will be chosen for the play is 0.5.

The probability that we will get the lead role is 0.2.

In this situation, the probability can be found by adding the probability of being chosen and the probability that we will get the lead role.

The probability that we get a lead role, = The probability that we will be chosen for the play + The probability that we will get the lead role

= 0.5 + 0.2

= 0.7

The probability of us getting a lead role given that we have already been chosen for the play is found to be 0.7. The correct answer is option D.

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Answer:

The answer is 66

Step-by-step explanation:

plz give brainliest

Answer:

Claudia is 63 years old

Step-by-step explanation:

Find two numbers that subtract to get 6, but add to get 120.

I used 57 and 63. If Claudia is 6 years older than Bill, then she would have to be 63.  

57 + 63 = 120

63  - 57 = 6

Answer:

8 ; 27 ; 125 ; 1000 ; 1331

Step-by-step explanation:

8 = 2³

27 = 3³

125 = 5³

1000 = 10³

1331 = 11³

Answer:

8, 27, 125, 1000, 1331.

Step-by-step explanation:

2^3 = 8

3^3 = 27

5^3 = 125

10^3 = 1000

11^3 = 1331

Answer:0.03

Step-by-step explanation:I typed in a calculator.

Answer:

x+x +1+2= y

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

0 = 8 is a false statement which means the system has no solutions

The 0 = 8 shows the system has no solutions.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

we have 0= 8.

First whenever we get 0 = 0 in this case the solution will infinite many solution.

and, if we get the quantities on both side are equal then it have unique solution.

Lastly, if we have non equal quantity on both side of equal like 0= 8 then it does not have any solution.

Hence, 0 = 8 shows the system has no solutions.

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Answer:

y = 75°, and I'm pretty sure this sheet is incorrect

Step-by-step explanation:

The interior angles of a triangle always add up to 180, and in an equilateral triangle, all 3 angles are congruent. (180/3 = 60)

[tex]m\angle A= 60\textdegree= 6x[/tex]

Therefore, [tex]x=10\textdegree[/tex]

[tex]\triangle DAE[/tex] is an isosceles triangle, as [tex]\angle B[/tex] [tex]\cong[/tex] [tex]\angle C[/tex], the sides opposite to them are also congruent; [tex]\overline{\rm AE}\cong\overline{\rm AD}[/tex] and in turn, [tex]m\angle ADE \cong m\angle AED: m\angle ADE = m\angle AED = y[/tex]

If [tex]m\angle DAE = 3x = 30\textdegree[/tex], then [tex]y = (180-30)/2 =150 /2 = 75\textdegree[/tex]

The factor of the provided polynomial after the factorization process are similar to option C,  (x+7)(x²-2)

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

Find these factors by taking out the common factors.

The given polynomial equation in the problem is,

x³+7x²-2x -14

The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor x², which can divide each term of the first two terms of equation (x³, 7x²). Thus,

x²(x+7)-2x-14

Take out the highest common factor -2 from the second two terms as,

x²(x+7)-2(x+7)

Now take out the common group (x+7) as,

(x+7)(x²-2)

Hence, the factor of the provided polynomial after the factorization process are similar to option C, which is

(x+7) (x²-2)

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Answer:

The simplified expression is y raised to the 2/8 power

Step-by-step explanation:

Let's recall that one of the properties of fractional exponents is:

x ^ a/b = ᵇ√x ᵃ

​​ therefore,

⁸√y² = y ^2/8

The simplified expression is y raised to the 2/8 power

​

​​

Answer:

  none of the above

Step-by-step explanation:

The attached graph shows the closest candidate—the equation with vertex (0, 5) that opens upward. However, it needs vertical scaling to make it go through the given points.

  y = (1/8)x^2 +5