Find the sum 7,388 and 829

What is the y-value of the solution to the system of equations?

alukav5142 [94]

Let's solve for x first,

3x + 5y - 5y = 1 - 5y

3x/3 = 1/3 - 5y/3

x = 1/3 - 5/3y

Let's now plug that into the other equation,

7(1/3 - 5/3y) + 4y = -13

7/3 - 35/3y + 4y = -13

7/3 - 7 2/3y - 7/3 = -13 - 7/3

- 7 2/3y (-3/23) = -15 1/3 (-3/23)

y = 2

The answer is 2

4 0

4 years ago

Please help me !!!!!

olganol [36]

√ab=(√a)(√b)

find perfect squares

√50=(√25)(√2)=5√2

answer is A

4 0

4 years ago

Read 2 more answers

Use the Fundamental Counting Principle to solve.

Vedmedyk [2.9K]

$number \: of \: performances = 9 \\ note = \\ one \: insists \: on \: being \: last \\ number \: of \: flexible \: performances = 9 - 1 = 8 \\ \\ c( \gamma ) = 8P8 \times 1 \\ c( \gamma ) = 8! \\ c( \gamma ) = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 \\ c( \gamma ) = 40320 \: ways$

7 0

2 years ago

Can someone help me please? justify your answer also plz!

Afina-wow [57]

Answer:

a. True

b. False

c. True

Step-by-step explanation:

a.

12 ÷ $\frac{36}{7}$ is equal to $\frac{7}{3}$

Personally, I hate fractions so I make these into decimals by dividing the numerator by the denominator, but I'll do both to show you.

Decimal:

$\frac{36}{7}$

In your calculator, type 12

Then the division sign.

Then make parenthesis

in the parenthesis you will have (36/7)

End parenthesis

Press the equal sign and you should get a grand total of 2.333 repeating

To see if its equal to $\frac{7}{3}$ , you put 7 divided by 3 in your calculator next

If you do, you should get 2.333 repeating.

This shows they are equal.

Fraction:

Keep, switch, flip

The first step will be to make your whole number into a fraction.

$\frac{12}{1}$ ÷ $\frac{36}{7}$

The first thing we use is keep

The first number in this equation is that $\frac{12}{1}$

We're going to leave it as it is.

Next we have to use switch. To do this we make the ÷ into a ×

So your problem should look as so:

$\frac{12}{1} * \frac{36}{7}$

Lastly, we have flip.

The last number in our equation is $\frac{36}{7}$

We are going to use the reciprocal of it which would be $\frac{7}{36}$

So your problem should now look like this:

$\frac{12}{1} * \frac{7}{36}$

At this point, we can now cross multiply

So from the numerator 12 to the denominator 36, if we divided 36 by 12 its 3.

But the denominator 1 and the numerator 7 are already divided as much as they can be.

So now your expression should be: $\frac{1}{1} * \frac{7}{3}$

This is because of that cross multiplication we did.

12 goes into 36, 3 times so 3 would substitute 36 while 1 would substitute 12

So now its just basic multiplication

$\frac{1*7}{1*3} = \frac{7}{3}$

So we can conclude that $12 * \frac{36}{7}$ does in fact equal $\frac{7}{3}$

b.

Multiplying a number by $\frac{1}{2}$ is the same as dividing by 2

This is false

When you multiply by 2, you are doubling the original number

When you multiply by $\frac{1}{2}$ , you are cutting the number in half

Ex:

18 * 2 = 36

18 * $\frac{1}{2}$ = 9

If it was dividing instead of multiplying, this would be true but since $\frac{1}{2}$ halves the number whether you multiply or divide it would not be true.

c.

$\frac{3}{2}$ of a number is less than this number

Basically, what this is saying is if you divide by $\frac{3}{2}$ , would it give you less than the original number.

The answer would be true

It would be division first of all because your looking for $\frac{3}{2}$ of a number.

Secondly, if you divide by a fraction or decimal, the number tends to be smaller than the number you started with.

Ex:

6 ÷ $\frac{3}{2}$ = 4 or 6 ÷ 1.5 = 4

Ex2:

682 ÷ $\frac{3}{2}$ = 454.6 repeating or 682 ÷ 1.5 = 454.6 repeating

I hope this helps! Don't be afraid to reach out with any further questions!

4 0

3 years ago

A smoothie cafe has the ingredients needed to make 50,000 Smoothies on a day when the high temperature is expected to reach 90F.

DIA [1.3K]

Answer: my teacher did this with me today.

Step-by-step explanation:

Explanation in picture

4 0

3 years ago