All categories

3 years ago

Which ordered pair is a solution to the system of equations? A (1,3) B (7, -5) C (8,2) D (-2, -3)

Mathematics

1 answer:

photoshop1234 [79]3 years ago

8 0

2x - y = -1
2x - 4y = 8
-------------------subtract
3y = -9
y = 3

2x - y = -1
2x - 3 =-1
2x = 2
x = 1

solution (1,3)
so answer A

You got it right

You might be interested in

Bill's recipe for onion soup call for 4.0lb of thinly sliced onions. If an onion has an average mass of 115g, how many onions do

musickatia [10]

Answer:

1. $16\ onions$

2. $4,040.91\ kg$

Step-by-step explanation:

1. You know that the average mass of an onion is 115 grams and Bill needs 4.0 pounds.

Then, since $1\ lb=453.592\ g$ , we can make the following conversion:

$(4.0\ lb)(\frac{453.592\ g}{1\ lb})=1,814.37\ g$

Then, the number of onions Bill needs is:

$(1,814.37\ g)(\frac{1\ onion}{115\ g})=15.77\ onions$ ≈ $16\ onions$

2. Since $1\ kg=2.20462\ lb$ , we can make the following conversion:

$(11\ lb)(\frac{1\ kg}{2.20462\ lb})=4.98\ kg$

Knowing that all the potatoes sold today at the store bring in $1,420 and 4.98 kilograms of potatoes is $1.75, we can calculate the amount of kilograms the grocery shoppers bought:

$(\$1,420)(\frac{4.98\ kg}{\$1.75})=4,040.91\ kg$

6 0

3 years ago

in a round robin tennis tournament involving 7 players, each player will play every other player twice. How many total matches w

baherus [9]

Total number of ways to make a pair:

The first player can be any one of 7 . For each of those . . .
The opponent can be any one of the remaining 6 .

Total ways to make a pair = 7 x 6 = 42 ways .

BUT ... every pair can be made in two ways ... A vs B or B vs A .
So 42 'ways' make only (42/2) = 21 different pairs.

If every pair plays 2 matches, then (21 x 2) = 42 total matches will be played.

Now, is that an elegant solution or what !

8 0

3 years ago

HELP PLEASE<3 Find the missing angle Btw its trigonometry

ira [324]

Answer:

x = 16.6

Step-by-step explanation:

Since we know the measure of an acute angle (31 degrees) of a right angle triangle, and of the side opposite to the angle (10), and we need to find the measure of the adjacent side "x", we use the tangent function:

$tan(\theta) = \frac{opposite}{adjacent} \\tan(31^o)=\frac{10}{x}\\x=\frac{10}{tan(31^o)} \\x \approx 16.64279$

which rounded to one decimal is

x = 16.6

6 0

3 years ago

What is the length of the hypotenuse of the right triangle? Enter your answer in the box.

ki77a [65]

Answer:

10 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

let h be hypotenuse, then

h² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

h = $\sqrt{100}$ = 10

The hypotenuse is 10 ft

5 0

3 years ago

Read 2 more answers

The measures of the angles of a triangle are shown in the figure below. solve for x

Vlad1618 [11]

Answer:

67 degrees

Step-by-step explanation:

All angles in a triangle add up to 180 degrees. So...

23 + x + 90 = 180

113 + x = 180

x = 67 degrees

8 0

3 years ago