Solve the following system of equations. -2x + 5y = 52
x + 4y = 39

A. x = 10, y = -1
B. x = -1, y = 10
C. x = 2, y = 11.2
D. x = 8, y = 7.75

Answers

Answer 1

Answer: The answer is B.

The attached file is how I got the answer.

Hope this helped :)

Related Questions

Liliana and Marcus are playing a word game. Liliana spells a word incorrectly and loses 18 points. Then Marcus spells a word correctly and has the opposite score. Which is the correct way to represent “the opposite of Liliana’s score is equal to Marcus’s score”?
Lexie started her homework at 4:30 pm. She finished at 5:05 pm. How many seconds did it take her.
How do you change a fraction to a decimal?
A company’s profit at the end of the year was -$98.75. Which of these statements must be true?The company broke even.The company made a little more than $100.The company lost a little more than 100 dollars.The company lost a little less than $100.
Paul's family drove 377 miles to the beach averaging 58 mi/h on the way there. On the return trip home, they averaged 65 mi/h. What was the total time Paul's family spent driving to and from the beach? A. 11.3 h B. 11.6 h C. 12.3 h D. 13 h

What is the value if the expression 6+18÷3×4

Answers

in the order of PEMDAS
the first thing you would do is divide 18/3 = 6
then multiply 6 x 4 = 24
then add 24 + 6 = 30

The answer is 30 because if you use PEMDAS
P: parentheses
E: exponents
M: mulitply
D:divid
A:addition
S: subtract
So you would do ot in the order of pemdas excep for mulity and divid it dorsnt matter which one comes first same with addition and sibtraction so the answer it 30

Can someone tell me how the numbers 1.67,0.8 and 3.5 can make 6 you dont have too use the three 3 numbers just tell me how you got 6 with those numbers

Answers

Answer:

We can get 6, rounding 1.67 to the next tenth and adding 0.8 and 3.5

Step-by-step explanation:

Let's review the information given to us to answer the question correctly:

First number = 1.67

Second number = 0.8

Third number = 3.5

2. You don't have too use the three 3 numbers just tell me how you got 6 with those numbers.

6 = First number + Second number + Third number

Replacing with the values given, we have:

6 = 1.7 (Rounding to the next tenth) + 0.8 + 3.5

6 = 2.5 +3.5

6 = 6

We can get 6, rounding 1.67 to the next tenth and adding 0.8 and 3.5

Find the other two vertices of a square with one vertex (0, 0) and another vertex (4, 2). Can you find another answer?

Answers

It is given that two vertices of square are (0,0) and (4,2).

Now the problem is that you haven't given that whether these two vertices are adjacent vertices or opposite vertices of the square.

1. By Supposing that these two are adjacent vertices of Square

The third vertex will be at (-4,2) which lies in third quadrant.

Suppose the coordinate of fourth vertex be (x,y).

Mid point of line joining (4,2) and (-4,2) is{ [4+(-4)]/2,(2+2)/2} is (0,2).

Mid point of line joining (x,y) and (0,0) is (x/2,y/2).

Since diagonals of square bisect each other,

∵ x/2=0

⇒x=0

and

y/2=2

⇒y=4

So, The Coordinate of fourth vertex is (0,4).

Now coming back to second condition if these are two opposite vertex of Square.

Let the third coordinate be (a,b).

Length of diagonal= $√((4-0)^2+(2-0)^2)=\sqrt20=2\sqrt5$

Now,let side of Square be A.

Then length of Diagonal of square =√2 A

⇒√2 A=2√5

⇒A =√10

As third vertex is (a,b).

Using distance formula

a² + b²=10 -------------(1)

(a-4)²+ (b-2)²=10 --------------(2)

Solving expression (1) and (2), we get

⇒a²+ b²=(a-4)² +(b-2)²

⇒2a + b =5

⇒b=5-2a

Putting the value of b in (1),we get

⇒a² +(5-2a)²=10

⇒a²+25+4a²-20a =10

⇒5a²-20a+15=0

⇒a² - 4a + 3=0

Splitting the middle term,we get

⇒(a-3)(a-1)=0

⇒a=3 ∧ a=1

we get b=5-2×1=3 and b=5-2×3=5-6=-1

So,the other vertex are (1,3) and(3,-1).

The other two vertices of the square are (-4, -2) and (-2, 4).

What are the other two vertices of a square with one vertex (0, 0) and another vertex (4, 2)?

To find the other two vertices of a square with one vertex at (0, 0) and another vertex at (4, 2), you can use the properties of a square, which has equal sides and right angles.

1. First, find the vector from the first vertex (0, 0) to the second vertex (4, 2). This vector represents one side of the square.

Vector = (4 - 0, 2 - 0) = (4, 2)

2. Since the square has equal sides, you can move in the opposite direction of the vector to find the third vertex.

Third Vertex = (0, 0) - (4, 2) = (-4, -2)

3. Now, to find the fourth vertex, you can rotate the vector by 90 degrees counterclockwise. To do this, swap the x and y components and negate the new x component:

Fourth Vertex = (-2, 4)

So, the other two vertices of the square are (-4, -2) and (-2, 4).

Learn more on vertices here;

brainly.com/question/1217219

#SPJ4

How many thirds are in 3 2/3

Answers

3= 3 thirds + 3 thirds + 3 thirds = 9 thirds
2/3 = 2 thirds

9 + 2 = 11 thirds. (11/3)

A cone-shaped tent has a diameter of 12 ft and a height of 6 ft.What is the approximate volume of the tent?
Use 3.14 to approximate pi, and express your final answer to the nearest tenth.
______ft3

Answers

Here's the formula for the volume of a cone:

$V=(1)/(3)\pi\ r^2h$

Plug in 3.14 for $\pi$ .
Plug in 6 for the height $h$ .
Our radius is half of our diameter. $r=6$ .

$V\approx\frac13*3.14*6^2*6$

6² = 6 × 6 = 36.
Now we just multiply together 1/3, 3.14, 36, and 6 to get...

$V\approx226.08$

Rounding to the nearest tenth...

$\boxed{V\approx226.1\ ft^3}$

Cone formula: 1/3( $\pi r^(2) h)$

Step 1(Fill in formula): 1/3((3.14)( $6^(2)$ )(6))
Step 2 (Solve): 1/3((3.14)(36)(6))
Step 3 (Solve): 1/3(678.24)
Step 4 (Complete) : 226.08ft³

louis wants to carpet the rectangular floor of his basement. The basement has an area of 864 square feet. The width of the basement is 2/3 its length. What is the length of Louis' s basement?

Answers

$x-\ length\n\n(2)/(3)x-\ width\n\nArea=\ length*width\n\n864=x*(2)/(3)x\n\n864=(2)/(3)x^2\ \ \ | divide\ by\ (2)/(3)\n\n864*(3)/(2)=x^2\n\n432*3=x^2\n\n1296=x^2\ \ \ | \sqrt{}\n\nx=36ft\n\nLength\ is \ equal\ to\ 36ft.$