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Alex787 [66]
3 years ago
6

use the elemination method to solve the system of equations choose the correct ordered pair 3x+5y=48 -3x+5y=12

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:

y=6\\x=6

Step-by-step explanation:

 3x+5y=48

-3x+5y=12

sum the two equations

10y=60\\y=6\\3x+5y=48\\3x=48-5*6\\x=6\\

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A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for black, 1/5 f
Schach [20]

Step-by-step explanation:

P(black or yellow) = P(black) + P(yellow) − P(black and yellow)

P(black or yellow) = 1/25 + 1/5 − 0

P(black or yellow) = 6/25

3 0
3 years ago
Directions: for questions 1 through 4, find the diagonal length of each solid figure.
Alex787 [66]
\text{The length of the diagonal is }11.2\text{ mm}

Here, we want to find the diagonal of the given solid

To do this, we need the appropriate triangle

Firstly, we need the diagonal of the base

To get this, we use Pythagoras' theorem for the base

The other measures are 6 mm and 8 mm

According ro Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides

Let us have the diagonal as l

Mathematically;

\begin{gathered} l^2=6^2+8^2 \\ l^2\text{ = 36 + 64} \\ l^2\text{ =100} \\ l\text{ = }\sqrt[]{100} \\ l\text{ = 10 mm} \end{gathered}

Now, to get the diagonal, we use the triangle with height 5 mm and the base being the hypotenuse we calculated above

Thus, we calculate this using the Pytthagoras' theorem as follows;

\begin{gathered} d^2=5^2+10^2 \\ d^2\text{ = 25 + 100} \\ d^2\text{ = 125} \\ d\text{ = }\sqrt[]{125} \\ d\text{ = }11.2\text{ mm} \end{gathered}

7 0
1 year ago
What is 1,099 rounded to the nearest ten
Elena-2011 [213]
1,099= 1,100

HOPE THIS HELPS!!!
5 0
4 years ago
A gas container in the shape of a cone has a height of 12 inches and a maximum diameter of 8 inches. When the container is fille
Nady [450]

Answer:

150.9 cubic inches

Step-by-step explanation:

volume of he gas = volume of a cone x 3/4

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius  

h = height

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

8/2 = 4 inches

1/3 (22/7 x 4^2 x 12) = 201.142857 in^3

volume of the gas = 3/4 x 201.142857 in^3 = 150.9 in^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

3 0
3 years ago
Estimate the quotient 368/4​
spin [16.1K]
Im pretty sure the quotient is 92
3 0
3 years ago
Read 2 more answers
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