Solve for and in the following simultaneous equations below; 5x−4y=8 and 2x+y=11.

Answers

Answer 1

Answer:

x=4 and y=3

Step-by-step explanation:

put one of the equations in slope form and solve

Answer 2

Answer:x=4 y=3

Step-by-step explanation:

5x-4y=8.............(1)

2x+y=11................(11)

From (11) y=11-2x

Substitute y=11-2x in 5x-4y=8

5x-4y=8

5x-4(11-2x)=8

Open bracket

5x-44+8x=8

Collect like terms

5x+8x=8+44

13x=52

Divide both sides by 13

13x/13=52/13

x=4

Substitute x=4 in 2x+y=11

2(4)+y=11

8+y=11

Collect like terms

y=11-8

y=3


Related Questions

GIVING BRANLIEST Which prism has a greater surface area?

2 prisms. A rectangular prism has a length of 12 inches, height of 8 inches, and width of 6 inches. A triangular prism has a rectangular base with a length of 6 inches and height of 12 inches. 2 rectangular sides are 12 inches by 10 inches. The triangular sides have a base of 6 inches an height of 8 inches.
The rectangular prism has a greater surface area by 72 square inches.
The rectangular prism has a greater surface area by 88 square inches.
The triangular prism has a greater surface area by 72 square inches.
The triangular prism has a greater surface area by 88 square inches.

Answers

Answer:

Rectangular prism          

Step-by-step explanation:

Solve for x - y = -3

Answers

Answer:

0-3=-3

Step-by-step explanation:

What is x:
1. X-y= -3
2. Add y to both sides
3. X= -3+y

What is y:
1. X-y= -3
2. Subtract x from both sides
3. -y=-3-x
4. Divide both sides by negative 1
5. y=3+x

Solution;
-3+y, 3+x

Hope this helps!!

17. The local hiking club went on a five day huling trip to Denali Nations
Park. The group departed with 60 pounds and returned with no food,
What is the slope of a graph for the amount of food over time (in
pounds per day?

Answers

Answer: The slope is 12 pounds per day.

Step-by-step explanation:

They consumed 60 pounds on food in 5 days.

The slope or rate at which they consummed the in a day can be calculated as the amount of pounds consumed in the lapse of time, this is:

slope = 60pounds/5days = 12 pounds per day.

Which of the following are mathematical sentences?
Check all that apply.

Answers

Answer:

A, B, C, F

Step-by-step explanation:

they need to include an = sign

Answer:

Now you know the answer from my explanation.

Step-by-step explanation:

The one which is not a mathematical statement is that which does not evaluate to anything.. Doesn't have the equal to sign

Please help me with my work for math

Answers

Answer:

AAA

Stp-by-step explanation:

Given the explicit formula an=3(-4)n-1, what is the sixth term?

Answers

Answer:

  a6 = -3072

Step-by-step explanation:

Put 6 where n is and do the arithmetic.

Since the form of your function looks like it is trying to describe a geometric sequence, we assume you actually mean ...

  an = 3(-4)^(n-1)

So, for n=6, this has the value ...

  a6 = 3(-4)^(6-1) = 3(-1024)

  a6 = -3072

_____

Same deal if you really mean

  an = -12n -1

  a6 = -12(6) -1 = -73

6. A golfer is standing at the tee,
looking up to the green on a hill. If the
tee is 36 yards lower than the green
and the angle of elevation from the tee
to the hole is 12º, find the distance from
the tee to the hole.​

Answers

Answer:

173.15 yards is the distance from tee to hole.

Step-by-step explanation:

Please refer to the image attached.

Let A is the position of tee and where the golfer is standing.

C is the position of hole.

CB is the vertical distance between greens and tee.

Angle of elevation, [tex]\angle BAC = 12^\circ[/tex]

To find: side AC.

Using trigonometric functions, we know that value of sine is:

[tex]sin\theta = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}[/tex]

Here [tex]\theta = \angle BAC = 12^\circ[/tex]

Perpendicular is side CB.

Hypotenuse is side AC.

[tex]sin12^\circ = \dfrac{\text{CB}}{\text{AC}}\\\Rightarrow \text{CB} = \dfrac{36}{sin12^\circ}\\\Rightarrow \text{CB} = 173.15\ yards[/tex]

Hence, 173.15 yards is the distance from tee to hole.

Each parking spot is 8 feet wide. A parking lot has 24 parking spots side by side. What is the width (measured in yards) of the parking lot?

Answers

Answer: 64 yards I think

Step-by-step explanation:

Answer: If it's just 8 feet wide, 64 yards, if 8 and 1/2, 68 yards.

Step-by-step explanation:

The list below shows the prices of T-shirts at a clothing store,
{8, 10, 10, 12, 15, 15, 18)
Which statement best describes the mean of this set?
the difference between the least and greatest prices
the sum of the prices
the quotient of the difference between the least and greatest prices divided by 7
the sum of the prices divided by 7
Mark this and retum
Save and Exit
Next
Submit


I need to now this also thx for y’all help

Answers

Answer:

D ) the sum of the prices divided by seven

Step-by-step explanation:

The list below shows the prices of T-shirts at a clothing store.

{8, 10, 10, 12, 15, 15, 18}

( 8 + 10 + 10 + 12 + 15 + 15 + 18 ) ÷ 7

Which statement best describes the mean of this set?

D) the sum of the prices divided by 7

2021please mark brainliest

The statement best describes the mean of this set is the sum of the prices divided by 7.

What is Mean?

Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.

Mean of a set of data can be found by adding all the values of the data set and by dividing by the total number of values in the data set.

Given data set is the prices of T-shirts at a clothing store.

{8, 10, 10, 12, 15, 15, 18}

Mean of the data set = Sum of the prices/ Total number of values

Sum of the prices = 8 + 10 + 10 + 12 + 15 + 15 + 18 = 88

Total number of value in the set = 7

Mean = 88 / 7 = 12.574

Hence the mean can be found by adding up all the prices divided by 7.

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Need help with Math question

Answers

Answer:

B; {x|x<-8}

Step-by-step explanation:

Use a vertical number line to think about how to represent the situation below. Then, answer the question.

A diver is 4 meters below sea level. What integer represents the location of the diver?

Answers

Answer:

it is negative four (-4)    

Step-by-step explanation:

i got it correct on edg!

An integer to represent the situation is -4.

What is a number line?

A number line is a representation of real numbers in the form of a graded straight line, it can be vertical or horizontal.

Given that, the driver is 4 meters below sea level.

Let the origin represents the sea level, then 4 meters below sea level can be represented by -4.

Hence, an integer to represent the situation is -4.

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A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was​ $28,900 with a standard deviation of​ $2300. The mean from the second city was​ $30,300 with a standard deviation of​ $2100. Construct a​ 95% confidence interval for mu 1minusmu 2.

Answers

Answer:

For the first city, the 95% confidence interval would be:

28,900 +/- 2300 x 3 = 28,900 +/-6900$

For the second city, the 95% confidence interval would be:

30,300 +/- 2100 x 3 = 30,300 +/- 6300$

What is volume of a cylinder with base area 64pi cm² and a height equal to twice the radius? Give your answer in terms of pi.
512 pi
256 pi
1024 pi
4096 pi​

Answers

Answer:

  1024 pi

Step-by-step explanation:

The area formula is ...

  A = πr^2

So, the radius is ...

  r = √(A/π)

For the given area, the radius of the cylinder is ...

  r = √(64π/π) = 8 . . . . cm

The height is said to be twice this value, so is 16 cm.

__

The volume of the cylinder is found from ...

  V = Bh

where B is the base area and h is the height. Our cylinder has a volume of ...

  V = (64π cm^2)(16 cm) = 1024π cm^3

True or False: The height is always twice the length of tue base edge of any triangular pyramid.

Answers

Answer:

true

Step-by-step explanation:

3n3n3p0mdo98rueu33

Patricia got a 5/25 balloon mortgage and her initial payments were $965. She

decided to refinance her balloon payment with a 30-year mortgage and her

new payments were $925. What is the total financed cost she paid for her

house?


A.341,459

B.390,900

C.34,020

D.337,320

Answers

Answer:

$390,900

Step-by-step explanation:

Given that.

Initial payment = $965

New rapayment = $925

when she decided to refinance her ballon payment with a 30 year mortgage

In this case,

a 5/25 ballon mortgage simply means loan repayment for the first 5 years is at a fixed rate.

Which means the total amount she paid in the first five years was=

12 * 5 * $965

= $57,900

When she refinanced the payment with a 30 year mortgage, her total payment

= $925 * 12 * 30years

= $333,000

Total financed cost Patricia paid =

$57,900 + $333,000

= $390,900

In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were reported for a sample of students who worked and for a sample of students who did not work. The samples were selected at random from working and nonworking students at a university. (Use a statistical computer package to calculate the P-value. Use μemployed − μnot employed. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.)

Sample Size Mean GPA Standard Deviation
Students Who
Are Employed 172 3.22 0.475

Students Who
Are Not Employed 116 3.33 0.524

t =
df =
P =

Does this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed? Use a significance level of 0.05.

Answers

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μemployed(μ1) be the sample mean of students who are employed and μnot employed(μ2) be the sample mean of students who are not employed

The random variable is μ1 - μ2 = difference in the mean of the employed and unemployed students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 3.22

μ2 = 3.33

s1 = 0.475

s2 = 0.524

n1 = 172

n2 = 116

t = (3.22 - 3.33)/√(0.475²/172 + 0.524²/116)

t = - 1.81

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.475²/172 + 0.524²/116]²/[(1/172 - 1)(0.475²/172)² + (1/116 - 1)(0.524²/116)²] = 0.00001353363/0.00000005878

df = 230

We would determine the probability value from the t test calculator. It becomes

p value = 0.036

Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.

Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed

Below is a regular octadecagon (18 sided polygon).
What is the SUM of its interior angles.
What is the measure of ONE of its interior angles?

Answers

Answer:

2880 degrees; 160 degrees

Step-by-step explanation:

(18-2)*180=16*180=2880

2880/18=160

Therefore, 2880 degrees; 160 degrees

I hope this helped and have a good rest of your day!

g Which one of the following best describes an advantage of using a Poisson distribution (Model 1) over the distribution in Model 2 to model X? It allows us to model the data continuously. It allows individuals to have an arbitrarily large number of siblings. It reduces the amount of unknowns needed for modeling.

Answers

Answer:

It reduces the amount of unknowns needed for modeling.

Step-by-step explanation:

Let's first look at the characteristics of poisson distribution.

The Poisson distribution has the following characteristics:

1. It is a discrete distribution.

2. The occurrences in each interval can range from zero to infinity.

3. Each occurrence is very independent of the other occurrences.

4. It helps describes discrete occurrences over an interval.

5. It reduces the amount of constant and unknown needed for modeling an equation.

How can I solve for c

Answers

Answer:

[tex](\frac{2}{5})c[/tex]

Answer:2/5c

Step-by-step explanation:

(a+b)/(a-b) =c

(a-b)/(a+b)=1/c

Multiply both sides by 2/5

2/5 x (a-b)/(a+b)=2/5 x 1/c

2(a-b)/5(a+b)=2/5c

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

f is the correct option pls mark me as the brainliset

Answer:

D, E, F

Step-by-step explanation:

because you need to do this when you are gathering resources

Two figures are arranged as shown. Which of the following can be used to the area of the figure
shaded light gray?
9
9​

Answers

Answer:

[tex]9^{2} -x^{2}[/tex]

Step-by-step explanation:

The figure is shown in the image attached.

Notice that the shaded light gray area can be calculated by the difference of the bigger square and the smaller square.

The area of the bigger square is: [tex]A_{big}=9^{2}[/tex]

The area of the smaller square is: [tex]A_{small}: x^{2}[/tex]

The difference between these areas is: [tex]A=9^{2} -x^{2}[/tex]

Therefore, the expression that can be used to find the light gray area is: [tex]9^{2} -x^{2}[/tex]

Additionally, the expression [tex]x(9-x)+9(9-x)[/tex] is also a right answer, because it's equivalent to the first answer.

[tex]x(9-x)+9(9-x)=9x-x^{2} +81-9x=81-x^{2} =9^{2} -x^{2}[/tex]

how old is a skeleton that has lost 27% of its carbon-14? Use the exponential decay model for carbon-14, A=A0e^-0.00012 1t Round the answer to the nearest whole number.

Answers

Answer:

10 years

Step-by-step explanation:

At 3:30 P.M., the water level in a pool is 14 inches. At 4:00 P.M., the water level is 20 inches. At 5:00 P.M., the water level is 32 inches. What is the constant rate of change?

Answers

Answer: Per 1/2 an hour it is changes by 5 so the constanT rate would be: 5 inches per 1/2 an hour

Geraldine is picking a four-digit password by using the digits 0 through 9. She can use each digit only once. How many different passwords are possible? 34 40 5,040 10,000

Answers

Answer:

5040 different combinations

Step-by-step explanation:

0-9 = 10 numbers

1st digit can be 1 0f 10

2nd digit can be 1 of 9

3rd digit can be 1 of 8

4th digit can be 1 of 7

10×9×8×7=5040

What is the circumference of a circle when it has a radius of 3cm

Answers

Answer:

18.85

Step-by-step explanation:

Circumference = 2πr

=2*3.142*3

=18.85

In a math class of 32 students, 18 boys and 14 are girls. On a unit test, 5 boys and 7 girls made an A grade. A student is chosen at random from the class. What is the probability of choosing a girl or an A student?

Answers

Answer:

14+7=21

The probability is 21/32 or 65,625%

Step-by-step explanation:

You just add the number of girl students (including the ones that got an A) with the number of boys that got an A

Then you divide that number by the total of students (32)

The probability of choosing a girl or an A grade student is 19/32.

What is probability ?

Probability is the chance or possibility to occur any selected event.

If the number of possible outcomes of an event is divided by the total number of outcomea of the event then it is called probability of that particular event.

What is the required probability ?

In a maths class,

The total number of students = 32

No. of boys = 18 & no. of girls = 14

On an unit test, 5 boys made an A grade whereas 7 girls made an A grade.

The probability of choosing a girl = 14/32 = P(A) (say)

And, The probability of choosing an A grade student = 12/32 = P(B) (say)

Hence, the probability of choosing an A grade student who is a girl = P(A∩B) = 7/32

∴ The probability of choosing a girl or an A grade student =

P(A∪B) = P(A)+P(B)-P(A∩B)

            = 14/32+ 12/32-7/32

            = 26/32-7/32

            = 19/32

Hence, The required probability is 19/32.

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1+34n
Square root 7
Need
Help with question

Answers

Answer:

what question is this

please explain more

Step-by-step explanation:

PLZ HELP WILL RATE BRAINLIEST

Answers

Answer:

  877.5 cm²

Step-by-step explanation:

Altogether, the area is that of 12 triangles of base 13 cm and height 11.25 cm. The total area will be ...

  star area = 12×triangle area = 12×(1/2)(13 cm)(11.25 cm)

  star area = 877.5 cm²

Mary is seven years younger than Julie. Rose is 38. Beth is four years older than rose and seven years older than Julie. How old is Mary

Answers

Answer:

Mary is 28 years old

Step-by-step explanation:

Rose is 38

Beth is 4 + 38 = 42

Julie is 42 - 7 = 35

Mary is 35 - 7 = 28

---

Hope this helps! :) If so, please mark my answer as brainliest!

Jacob rolls a number cube numbered 1 to 6. What is the likelihood Jacob rolls a number less than 7?

Answers

100% because they’re all under 7
0%, the number seven does not fit into the numbers 1-6

Therefore youre likely to roll a number 7 on a dice (1-6) ZERO AMOUNT OF TIMES
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