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2 years ago

Simplify, if x = 2 and y = -1: 3(y + 2)^2 + 3x

Mathematics

1 answer:

svet-max [94.6K]2 years ago

5 0

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Define

3(y + 2)² + 3x

x = 2

y = -1

Step 2: Evaluate

Substitute: 3(-1 + 2)² + 3(2)
Add: 3(1)² + 3(2)
Exponents: 3(1) + 3(2)
Multiply: 3 + 6
Add: 9

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The budget for a school dance is $390.00. Decorations and refreshments cost $150.00. The band charges a fee of $100.00 plus an a

Papessa [141]

Answer:

The maximum number of hours the school can have the band play at the dance is 4.

Step-by-step explanation:

150 + 100 + 35x ≤ 390

250 + 35x ≤ 390

subtract 250 from both sides

35x ≤ 140

divide by 35 on both sides

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2 years ago

Yall pls help meeeee (brainliest btw)!!!!!

Korvikt [17]

<h2>Answer:</h2>

Let m be the amount each mom can paint and d be the amount each daughter can paint.

On the first day, 8 mothers were painting so the mothers painted 8m square feet. 12 daughters also painted so the daughters painted 12d square feet. The total amount painted on the first day is then 8m+12d square feet. Since 220 square feet was painted on the first day, then 8m+12d=220. Dividing both sides by 4 gives a simplified equation of 2m+3d=55.

On the second day, 6 mothers were painting so the mothers painted 6m square feet. 8 daughters also painted so the daughters painted 8d square feet. The total amount painted on the second day is then 6m+8d square feet. Since 152 square feet was painted on the second day, then 6m+8d=152

Multiply the first equation by -3 and then add it to the second equation to eliminate m and solve for d:

d=13

2m+3d=55

2m+3(13)=55

2m+39=55

2m=16

m=8

Therefore each mom painted 8 square feet and each daughter painted 13 square feet.

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2 years ago

(3/5)^2+4X3-2 what is the value of the expression

Sliva [168]

Answer:

10.36

Step-by-step explanation:

So your solution would be:

$(\frac{3}{5})^{2} + 4 \times 3 - 2$

$=(\frac{3}{5})^{2} + 4 \times 3 - 2$

$=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2$

$=\dfrac{9}{25} + 4 \times 3 - 2$

$=0.36 + 4 \times 3 - 2$

$=0.36 + 12 - 2$

$=12.36 - 2$

$=10.36$

Just try to remember PEMDAS.

Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.

This is the order we follow when going about expressions with many operations.

Let's start with the parenthesis part. Notice that there is an exponent beside the parenthesis enclosing the fraction. Here we use the quotient to a power rule. We distribute the exponent to the numerator and the denominator.

$=(\frac{3}{5})^{2} + 4 \times 3 - 2\\$

$=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2$

$=\dfrac{9}{25} + 4 \times 3 - 2$

Now that we got the parenthesis and exponent out of the way, let's move on to the next. Multiplication/Division. Whichever comes first, you do it first.

We have a fraction so we do that first. Then we do the multiplication after.

$=0.36 + 4 \times 3 - 2$

$=0.36 + 12 - 2$

Next we do the addition/subtraction. Again, whichever comes first.

$=12.36 - 2$

$=10.36$

7 0

2 years ago