Write an inequality for the statement. A number n is less than 4

The student council is selling tickets to a school dance. One teacher decides to pay $10 for his class, and the students in the

Lostsunrise [7]

Hi,

x + y = 350 (equation 1)

3x + 2y = 950 (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100

Substitute y = 100 into equation 1

x + 100 = 350

x = 250

Answer: 250 $3 tickets and 100 $2 tickets were sold.

8 0

3 years ago

The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.

maks197457 [2]

Step-by-step explanation:

The first possibility

2(width) + 2(length) = perimeter

2(3x-3) + 2(length) = 10x+6

6x - 6 + 2(length) = 10x+6

2(length) = 4x + 12

length = 2x + 6

The second possibility.

rondhesha chodado in The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.

So you have the perimeter, P, can be found by doing u+u+v+v.

Simplifying gives:

P=2u+2v.

You are given the width is (3x-3). Choose this to be u or v but not both.

Perimeter is given a (10x+6).

Let's plug this in:

(10x+6)=2(3x-3)+2v

We are solving for v.

First step: Distribute where you can:

10x+6=6x-6+2v

Now we want to isolate v.

So we will need to subtract (6v-6) on both sides:

(10x+6)=2v

- (6x -6)

----------------------

4x+12 =2v

The right hand side contains a factor of 2.

The left hand side does too since 4x+12 can be factored as 2(2x+6).

2(2x+6)=2v

This implies v is 2x+6.

Let's check our work.

We have two sides with measurement 2x+6: (2x+6)+(2x+6)=4x+12

We have two sides with measurement 3x-3: (3x-3)+(3x-3)= 6x-6

Let's add those sums to find the perimeter: 10x+6

That is the intended

3 0

3 years ago

This is due tomorrow and i have answers but i think ive done it wrong! please help

Eva8 [605]

Answer: i) 1 - 9x² - 12x

ii) 17 - 3x²

iii) - 20 + 10x² - x⁴

Step-by-step explanation:

g(x) = 3x + 2 h(x) = 5 - x²

i) h(g(x))

h(3x + 2) = 5 - (3x + 2)²

= 5 - (9x² + 12x + 4)

= 5 - 9x² - 12x - 4

= 1 - 9x² - 12x

ii) g(h(x))

g(5 - x²) = 3(5 - x²) + 2

= 15 - 3x² + 2

= 17 - 3x²

iii) h(h(x))

h(5 - x²) = 5 - (5 - x²)²

= 5 - (25 - 10x² + x⁴)

= 5 - 25 + 10x² - x⁴

= -20 + 10x² - x⁴

4 0

4 years ago

Who know how to do this 100% smart

chubhunter [2.5K]

Answer:

1- $\frac{1}{2}$

2- 1

3- -2

Step-by-step explanation:

1-

Add the numbers : $\frac{5}{10}$

Reduce the fraction with 5 : $\frac{1}{2}$

Solution : $\frac{1}{2}$

2-

Calculate the difference: $\frac{-3}{-3}$

Divide: 1

Solution: 1

3-

Subtract the numbers: $\frac{6}{-3}$

Reduce the fraction : -2

Solution: -2

4 0

3 years ago

Read 2 more answers

Solve the simultaneous equation : 4x+2y=17 3x+2y=14

enot [183]

Answer:

(x, y) = (3, 5/2)

Step-by-step explanation:

$4x+2y=17\\3x+2y=14$

I'll solve by elimination here. If you invert the second equation and add it to the first, 2y and -2y would cancel out.

$4x+2y=17\\-(3x+2y=14)$

Now just add those from top to bottom.

$\rightarrow (4x-3x)+(2y-2y)=17-14\\\rightarrow x=3$

Nothing else needs to be done for that part. Now, you can pick either equation and use the known value of x to solve for y.

$4x+2y=17\\\rightarrow 4(3)+2y=17\\\rightarrow 12+2y=17\\\rightarrow 2y=5\\\rightarrow y=\frac{5}{2}$

(x, y) = (3, 5/2)

6 0

3 years ago