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Umnica [9.8K]
4 years ago
10

Find the solution of this system of equations. Separate the x- and y- values with a comma.

Mathematics
1 answer:
irina [24]4 years ago
8 0
\begin{cases}x= -8+y \\ -11x+9y=4 \end{cases}\\ \\\begin{cases}x= -8+y \\ -11 \cdot (-8+y)+9y=4 \end{cases}\\ \\\begin{cases}x= -8+y \\ 88-11y+9y =4 \end{cases}\\ \\\begin{cases}x= -8+y \\ -2y=4 -88\end{cases}\\ \\

\begin{cases}x= -8+y \\ -2y=-84 \ \ / :(-2)\end{cases}\\ \\\begin{cases}x= -8+y \\ y=\frac{-84}{-2} \end{cases}\\ \\\begin{cases}x= -8+42 \\ y=42 \end{cases}\\ \\\begin{cases}x= 34 \\ y=42 \end{cases}\\ \\


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Use the correct order of operations to evaluate the following expression:(5+4).5+3.3
horsena [70]

Answer:

For any mathematical expression follow the BODMAS rule which states that we should calculate the Brackets first (2 + 4 = 6), then the Orders (52 = 25), then any Division or Multiplication (3 x 6 (the answer to the brackets) = 18), and finally any Addition or Subtraction (18 + 25 = 43).

Step-by-step explanation:

(5+4) × 5 + 3.3

Bracket open = 9

Since there is no division, so multiply 9×5, which is 45

Then add, 45+3.3

Answer= 48.3

7 0
3 years ago
Ali earned $341 on Friday . If she was paid $22 per hour for the first 8 hours and time and a half for each overtime hour, calcu
nalin [4]

Answer:

she worked 7.5 hours of over time

Step-by-step explanation:

22x8=176

341-176=165

165/22=7.5

4 0
3 years ago
Use the image below to answer the following question. Find the value of sin x^0 and cos y^0. What relationship do the ratios of
gregori [183]

Answer:

sin x = 3/5

cos y  = 3/5

sin x and cos y are equal

Step-by-step explanation:

First we need to find the length of the hypotenuse

We can use the Pythagorean  theorem

a^2+ b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2 +8^2 = c^2

36+64 = c^2

100 = c^2

Taking the square root

sqrt(100) = sqrt(c^2)

10 = c

The hypotenuse is 10

Since this is a right triangle we can use trig functions

sin x = opp side/ hypotenuse

sin x = 6/10 = 3/5

cos y = adj / hypotenuse

cos y = 6/10  = 3/5

sin x and cos y are equal

4 0
3 years ago
Read 2 more answers
Please answer ASAP! Thank you in advance.
SashulF [63]

Answer:

I believe the answer is 5

Step-by-step explanation

12 - 7 = 5

7 0
3 years ago
Read 2 more answers
You purchase a pair of shoes from the store for $42.00. You have a coupon for 20% off. How much is the discount?
Leona [35]
The discount is $8.40. Just multiply 42 by 20 and you get 840 then move the decimal two places to the left.
5 0
3 years ago
Read 2 more answers
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