2x + 3y = 630
x + y = 245 then you want to get rid of x so in the second equation × by -2 and get -2x -2y =-490 subtract this equation from the first to get y=$140 substitute 140 in for y and get x= $105 and 2x=210 and 3y=420 210 +420=630

7 0

3 years ago

Decompose 0.42 into tenths and hundredths

m_a_m_a [10]

Answer:

0.40 + 0.02

Step-by-step explanation:

4 tenths plus 2 hundredths

5 0

3 years ago

The expression cosine of pi over 2 times cosine of pi over 3 plus sine of pi over 2 times sine of pi over 3 can be rewritten as

9966 [12]

Solution:

Given;

$\cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}$

Using the identities;

Thus;

$\begin{gathered} \cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}=\cos(\frac{\pi}{2}-\frac{\pi}{3}) \\ \\ \cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}=\cos(\frac{\pi}{6}) \end{gathered}$

CORRECT OPTION: A

6 0

1 year ago

The U.S. swim team won 13 gold medals in a recent competition against two other countries.Of the total 60 medals awarded, there

Kitty [74]

The number of silver and bronze medals that France won are 9 silver and bronze medals.

Since there are 60 medals awarded, and there were 20 each of bronze, silver, and gold. This means that there are 20 gold, 20 bronze and 20 silver.

Since U.S. swim team won 13 gold medals and Spain won 5gold medals, then the gold won by France will be:

= 20 - (13 + 5)

= 20 - 18

= 2 gold medals

France won 2 gold medals.

Since France won one-third of all the medals, the number of medals won by France will be:

= 1/3 × 60

= 20 medals

Since France won 2 golds medals, then the number of silver and bronze will be:

= 20 - 2

= 18 silver and bronze medals.

Since France won equal number of silver and bronze medals. This will be:

= 18/2

= 9 silver and bronze medals.

Read related link on:

brainly.com/question/19972449

3 0

2 years ago