Find the solution to the system of equations.
x + 3y = 4
2x + 5y = 12
A. (3.8)
B. (-8,4)
C. (16,-4)
D. (1.2)
E. (-1,-2)

Answers

Answer 1

Answer:

C (16,-4)

Step-by-step explanation:

16+3*-4=4

16+(-12)=4

16-12=4

4=4

2*16+5*-4=12

32+(-20)=12

32-20=12

12=12


Related Questions

True or false: The following table is linear.

Answers

The table is linear because it goes up at a consistent rate each time.

HURRY PLEASE IM NEED HELP!!!!!!

Answers

Answer:

I can barely see it can you make it bigger somehow

Step-by-step explanation:

The circumference of the inner circle is 270.04 miles. What is the area of the shaded region?

Answers

area of a circle = [tex]\pi r^{2}[/tex]

circumference =[tex]2\pi r[/tex]

Okay so the center of the circle is the same for both of the circles lets take that value as m so the radius of the inner circle is 54 - m

we have the circumference of the inner circle which is 270.04 we can find the value of m using that

[tex]270.04=2\pi (54-m)\\270.04= 339.2-6.28m \\6.28m = 339.2-270.04\\m= 11.02[/tex]

the radius of the inner circle is therefore 42.98

and the full circle has a radius off 65.02

area of shaded region = area of full circle - area of inner circle

area of shaded region = [tex]\pi (65.02)^{2} - \pi (42.98)^{2}[/tex]

area of shaded region = [tex]13281.39 - 5803.4[/tex]

area of shaded region = 7478 rounded off to the nearest whole number

A trapezoid with a height of 8 ft base measuring 11 ft has an area of 112ft find the length of the other base

Answers

Answer:

1.27272727273 I think

Step-by-step explanation:

Which rectangular prism has a surface area of 62 square units? [Note: Art is not drawn to scale.]

Answers

Answer:

the Answer is C

Step-by-step explanation

just took the test

Answer:

C

Step-by-step explanation:

I got it right

t=4s+2 complex tablet

Answers

Answer:

Value of t = 2 when value of s = 0

Value of t = 6 when value of s = 1

Value of t = 10 when value of s = 2

Value of t = 14 when value of s = 3

Step-by-step explanation:

Given Equation:

t = 4s + 2

Complete the table if values of s are as follows;

s = 0

s = 1

s = 2

s = 3

Computation:

t = 4s + 2

By putting s = 0

So,

t = 4s + 2

t = 4(0) + 2

t = 0 + 2

Value of t = 2 when value of s = 0

By putting s = 1

So,

t = 4s + 2

t = 4(1) + 2

t = 4 + 2

Value of t = 6 when value of s = 1

By putting s = 2

So,

t = 4s + 2

t = 4(2) + 2

t = 8 + 2

Value of t = 10 when value of s = 2

By putting s = 3

So,

t = 4s + 2

t = 4(3) + 2

t = 12 + 2

Value of t = 14 when value of s = 3

The dot plot shows two students’ scores on 12 history quizzes.

Which of the following statements correctly compares the median and the range of their scores?

A. The median of Lolo’s scores is greater that the median of Ami’s scores, and the range of Ami’s scores is greater that the range of Lolo’s scores

B. The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores

C. The medians are equal, and the range of Lolo’s scores is greater than the range of Ami’s scores

D. The median and range of Lolo’s scores are greater than the median and range of Ami’s scores

Answers

Answer:

The correct answer is B

Step-by-step explanation:

Both of their medians are equal and Ami's range is larger than Lolo's range :)

The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores

Option B is the correct answer.

What is median?

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

Lolo's quiz:

Scores: 12, 13, 13, 14, 14, 14, 15, 16, 16, 17, 17, 19

Median.

= (14 + 15)/2

= 14.5

Range,

= 19 - 12

= 7

Ami's score:

Scores: 10, 12, 12, 13, 13, 14, 15, 16, 17, 17, 18, 18

Median.

= (14 + 15)/2

= 14.5

Range.

= 18 - 10

= 8

We can say that,

The median is the same for both and Ami's range is greater than Lolo's.

Thus,

The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores

Learn more about median here:

https://brainly.com/question/28060453

#SPJ2

In a game involving a standard deck of 52 playing cards, an individual randomly draws 7 cards without replacement. Let y = the number of kings drawn. Is y a binomial variable? Why or why now?

Answers

Answer:

Step-by-step explanation:

By definition, we will see that y is a binomial variable.

Here the variable "y" represents:

y = "number of kings drawn"

When we draw 7 cards out of a 52 cards deck.

So there are 5 possible values of y:

y = 0y = 1y = 2y = 3y = 4

A binomial variable is a variable that represents two outcomes, for example, if we used the variable x = "drawing a king" 7 times, then x is a binomial variable, because it has two outcomes, or you draw a king, or you don't.

A binomial variable can also represent the number of outcomes of each type for several events like x (the one defined above). This is what y does, it counts how many times the outcome of "x" is "drawing a king" for a sequence of 7 draws.

Then y is a binomial variable.

If you want to learn more about binomial distributions, you can read:

https://brainly.com/question/7283210

A rectangular napkin has an area of 88 square centimeters and a length of 8 centimeters.

What is the width of the napkin?

Answers

11 centimeters
This is because a rectangle has an area of length times width and so you can divide 88 by 8 to get 11

Answer:

11 cm

Step-by-step explanation:

a= l x w

88= l x 8

88/8= 11

so ll cm is the width of the napkin

I don't get it please help it's for math ASAP please help

Answers

X>6 it makes me type longer but yea hope it helps

Please help with this

Answers

Answer:

1, 2, 3, 6, 9, 18, 27, 54

Step-by-step explanation:

Write the equation of a line that passes through the point (-4,5) and has a slope of 3

Answers

answer: y=3x+7
explanation: slope intercept form
y-y1=m(x-x1)
y-5=3(x+4)
y-5=3x+12
y=3x+7

Find the median and mean of the data set below:
41,26,38,29

Answers

Answer:

Median: 33.5

Mean: 33.5

Step-by-step explanation:

So first arrange em from least to greatest

26, 29, 38, 41

Now to find the median find the middle number which it has none, do the last 2 numbers and find the mean of those 2 numbers

29+38= 67

67/2= 33.5

Mean is to just add up everything and divide by the amount of number there is which is bascially average.

26+29+38+41= 134

134/4= 33.5

Answer:

Median: 33.5

Mean: 33.5

Step-by-step explanation:

Median is the the middle number in a set of numbers, when they are listed from least to greatest. If there is no middle number, you take the 2 numbers closest to the middle, add them up, then divide them by 2.

List the set of numbers from least to greatest, 26, 29, 38, 41. Since there is no middle number, take the 2 numbers closest to the middle, 29, and 38. Divide the sum by 2, so 67 divided by 2 is 33.5.

Mean is all numbers in a set of numbers divided by the number of numbers. 41+26+38+29=134

Since there are 4 numbers, divide 134 by 4, to get 33.5.

For which of the following equations does n = 5?
I. 3n = 15
II. n2 = 25
III. 2n = 32

Answers

Answer:

1) 3n = 15

Step-by-step explanation:

1. 3n=15
15 divided by 3 is 5

less than equal to or greater than 3827

Answers

Answer:

it is less than, greater than, equal to, and less than

Step-by-step explanation:

if the numerator is greater than the denominator the fraction is greater than 1 and therefore you will have a number greater than 3827, if the numerator is less than the denominator the fraction is less than 1 and you will have a number less than 1, if the numerator and denominator are equal the fraction is equal to 1

Answer:

2.  3,827 > 8/3   3.  3,827 > 8/8     4.  3,827 > 3/5

Step-by-step explanation:

In problem 2. 8/3 as a decimal is 2.6 so that means 3,827 is greater. In problem 3. 8/8 as decimal is 1 so that means 3,827 is greater. In problem 4. 3/5 as a decimal is 0.6 so that means 3,827 is greater. i hope this helps have a good day :)

4(5-2x)+3=7 step by step pls

Answers

Answer: x = 2

The step by step is attached to this answer, hope it helped!

Find the percent of the number. 140% of 60 is

Answers

100% of 60 = 60

100%=60

140% of 60 = x

140%=x

60/x = 100/140

(cross multiplication)

x = 84

140% of 60 = 84

g(x) = -4 log2 (x + 2) +1

Answers

Answer: -2

x=-G-1= -2

4log(2)

Step-by-step explanation:

it's all on the picture ​

Answers

Answer:

subtract 12 from both sides of the equal sign

-since you are trying to find h

Solutions 5x + 10 = 5x

Answers

Answer:

I think there is no solution to the equation. (I'm not sure what your asking)

Step-by-step explanation

The equation should equal 0, so you subtract 5x from both sides. Once you do that, it cancels out the 5x and leaves 10=0 which is a false statement.

Janea bought a motorcycle for dollars. It depreciates by a factor of each year. Which expression best predicts the value of the car after 10 years?

Answers

Answer:

m·n¹⁰

Step-by-step explanation:

Required equation is in the form of:

V(t) = P*r^t, V- future value, P- present value, r- rate, t- time

In terms of this question:

m·n¹⁰ is the correct choice

(PLEASE SOMEONE HELP)

James is making orange juice from concentrated frozen orange juice that he must mix with water. The concentrated juice is in 12 fluid ounce cartons. The ratio of orange juice concentrate to water is 12 fluid ounces to 36 fluid ounces. If James needs 4.5 gallons of orange juice, which is 576 fluid ounces, how many cartons of concentrated orange juice does he need?

Answers

Answer:

The number of cartons of concentrated orange juice she needs in 4.5 gallons of orange juice is 12 cartons of orange juice

Step-by-step explanation:

The given parameters are;

The volume of the concentrated orange juice = 12 fluid ounce cartons

The ratio of orange juice concentrate to water = 12 fluid ounces to 36 fluid ounces

The amount of orange juice James need = 4.5 gallons = 576 fluid ounces

Therefore;

The  ratio of orange juice concentrate to water is 12:36

Therefore;

Let 'x' represent the amount of concentrated orange juice in 4.5 gallons of orange juice, and let 'y' represent the amount of water in the 4.5 gallons of orange juice, we have;

x + y = 4.5 (gallons)...(1)

x:y = 12:36 = 1:3

∴ x/y = 1/3

3·x = y...(2)

From equation (1) and equation (2), we have;

x + y = 4.5

x + 3·x = 4.5

x = 4.5/4 = 1.125

x = 1.125

The amount of concentrated orange juice in 4.5 gallons of orange juice, x = 1.125 gallons

∴ y = 3 × x = 3 × 1.125 = 3.375

y = 3.375

The amount of water in the 4.5 gallons of orange juice, y = 3.375

Therefore, we have;

4.5 gallons = 576 fluid ounces

∴ 1.125 gallons = (576/4.5) × 1.125 = 144 fluid ounces

The amount of fluid ounces per carton = 12 fluidounces/carton

∴ The number of cartons in 144 fluid ounces = 144 fluidounces ÷ 12 fluidounces/carton = 12 cartons

The amount of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 1.125 gallons = 144 fluidounces = 12 cartons

The amount of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 12 cartons of orange juice

The amount (number of cartons) of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 12 cartons of orange juice.

What is the next term of the geometric sequence 5, 20,80

Answers

Answer:

a₄ = 320

Step-by-step explanation:

To obtain a term in a geometric sequence , multiply the previous term by the common ratio r

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{20}{5}[/tex] = 4 , then

a₄ = 4 × a₃ = 4 × 80 = 320

Gina is building a rectangular prism out of sugar cubes for her art class project. She started by drawing a diagram of the rectangular prism that is 4 cubes high, 4 cubes long and 2 cubes wide. How many cubes does she use to make the prism?

Answers

The rectangular prism is made up of the dimensions

Lenght = 4 cubes

Width = 2 cubes

Height = 4 cubes

The total number of cubes she needs shall be derived as number of cubes along the lenght multiplied by number of cubes along the width, and then multiplied by number of cubes along the height. Therefore, she would have:

[tex]volume = l \times w \times h \\ volume \: = 4 \times 2 \times 4 \\ volume = 32 \: cubes[/tex]

Therefore, She need 32 cubes to make the prism.

!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Answer:

Im gona guess C but im not 100%

Step-by-step explanation:

evaluate 4z -5y when z=8 and y=3

Answers

Answer:

17

Step-by-step explanation:

In 4z -5y, substitutte 8 for z and 3 for y, obtaining:

4(8) - 5(3) = 32 - 15 = 17

Answer:

17

Step-by-step explanation:

When you have a  number by its variable you multiple, if you know the value of the variable then you multiply the two numbers together.

4z-5y

when z=8 and y=3

The equation really is

4 times 8 - 5 times 3

4 times 8 is 32

5 times 3 is 15

15-32

15-32= 17

What is the prime number that is between 21 and 28

Please help quick

Answers

Answer:

23

Step-by-step explanation:

Help..rq................

Answers

Answer: -1/5

Step-by-step explanation:

Answer:

The second one -1/5.

Step-by-step explanation:

1-2=-1 for y and 10-5=5 for x -1/5.


A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours?

Answers

Answer:

8100/1800 = 4.5 days

Step-by-step explanation:

At the school book fair 3/5 of the books are nonfiction books. Of the nonfiction books 1/4 are animal books. What fraction of the book are animal books?

Answers

Answer:

3/20 or 0.15

Step-by-step explanation:

if 3/5=nonfiction and as a part of that 3/5: 1/4=animal

that means that 3/20 (or 0.15) of those books are non fiction animal books

(to get answer you can type "1/4 of 3/5" into calculator!)

Answer:

3/20 or 0.15

explanation: In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator. In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing. Let us understand this concept using an example. The following figure shows a pizza that is divided into 8 equal parts. Now, if we want to express one selected part of the pizza, we can express it as 1/8 which shows that out of 8 equal parts, we are referring to 1 part.

It means one in eight equal parts. It can also be read as: 1 by 8. If 3/5=nonfiction and as a part of that 3/5: 1/4=animal

that means that 3/20 (or 0.15) of those books are non fiction animal books

To get the answer you can also type 1/4 of 3/5 into your calculator.

All fractions consist of a numerator and a denominator and they are separated by a horizontal bar known as the fractional bar. Proper fractions are the fractions in which the numerator is less than its denominator. For example, 5/7, 3/8, 2/5, and so on are proper fractions.

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