The double number line shows that 444 pounds of almonds cost \$34$34dollar sign, 34.

Tey is making a square frame for her painting. She is using 4 pieces of wood that are each 2.75 feet long. How much wood will te

V125BC [204]

Answer:

11 feet wood will tenly use to make the frame.

Step-by-step explanation:

As given

Tey is making a square frame for her painting.

She is using 4 pieces of wood that are each 2.75 feet long.

Tenly uses wood to make the frame = Number of pieces of wood × Length of each pieces

Here

Number of pieces of wood = 4

Length of each pieces = 2.75 feet

Put in the above

Tenly uses wood to make the frame = 4 × 2.75

= 11 feet

Therefore 11 feet wood will tenly use to make the frame.

8 0

4 years ago

The rules of a contest say there is a 1 out of 20 chance of winning a prize. 420 people enter the contest. Predict how many peop

lapo4ka [179]

Answer:

21

Step-by-step explanation:

1/20= x/420

Multiply both by 420

420/20=x

x=21

6 0

4 years ago

A sporting goods company near the beach rents bicycles for $10 plus &5 per hour. Write an equation in

rewona [7]

Answer:

It will cost Emily $40 to rent the bike for 6 hours.

Step-by-step explanation:

SOLUTION:

Total cost equals = (cost per hour × number of hours) + initial bike cost.

Let, y be total cost and x = renting a bicycle for x hours.

y=5x+10

To calculate Emily's cost for 6 hours, let x=6.

y=5(6)+10

y=30+10

y=40

It will cost Emily $40 to rent the bike for 6 hours.

4 0

2 years ago

Solve the following quadratics. State the FACTORS AND SOLUTIONS. 1. 2x^2 - 7x + 3 2. 3x^2 + 7x +2

tekilochka [14]

Answer:

1. x = 3, 1/2 (solutions); (x - 3)(2x - 1) (factors)

2. x = -1/3, -2 (solutions); (3x + 1)(x + 2) (factors)

Step-by-step explanation:

1. 2x^2 - 7x + 3

To solve problem 1, you will need to identify your a, b, and c values in this quadratic function.

Since this problem is in standard form, it will be easy to identify these values. The standard form of a quadratic function is ax^2 + bx + c.

The a value is 2, the b value is -7, and the c value is 3 if we use our standard form and see which numbers are plugged into it.

Since we know that

a = 2
b = -7
c = 3

we can use the quadratic formula: $x = \frac{-b~\pm~\sqrt{b^2~-~4ac} }{2a}$

Substitute the a, b, and c values into the quadratic formula: $x=\frac{-(-7)\pm\sqrt{(-7)^2-4(2)(3)} }{2(2)}$

Now simplify using the laws of pemdas: $x=\frac{7\pm\sqrt{(49)-(24)} }{4}$

Simplify even further: $x=\frac{7\pm\sqrt{(25)} }{4} \rightarrow x=\frac{7\pm (5) }{4}$

Now split this equation into two equations to solve for x: $x=\frac{12 }{4} ~~and~~ x=\frac{2 }{4}$

12/4 can be simplified to 3, and 2/4 can be simplified to 1/2.

This means your solutions to problem 1 is 3, 1/2.

$\boxed {x=3,\frac{1}{2} }$

There is also another way to solve for the quadratic functions, and this was by factoring.

If you factor 2x^2 - 7x + 3 using the bottoms-up method, you will get (x - 3)(2x - 1).

After factoring, solving for the solutions is simple because all you have to do is set each factor to 0.

x - 3 = 0
2x - 1 = 0

After solving for x by adding 3 to both sides, or by adding 1 to both sides then dividing by 2, you will end up with the same solutions: x = 3 and x = 1/2.

2. 3x^2 + 7x + 2

To save time I'll be using the bottoms-up factoring method, but remember to refer back to problem 1 (quadratic formula) if you prefer that method.

Factor this quadratic function using the bottoms-up method. After factoring you will have (3x + 1)(x + 2). These are your factors.

Now to solve for x and find the solutions of the quadratic function, you will set both factors equal to 0.

3x + 1 = 0
x + 2 = 0

Solve.

First factor: 3x + 1 = 0

Subtract 1 from both sides.

3x = -1

Divide both sides by 3.

x = -1/3

Second factor: x + 2 = 0

Subtract 2 from both sides.

x = -2

Your solutions are x = -1/3 and x = -2.

$\boxed {x = -\frac{1}{3} , -2}$

7 0

3 years ago

Which formula could be used to find the volume of a cube with side length equal to s?

Svet_ta [14]

s^3 formula could be used to find the volume of. cube with side length equal to s.

3 0

3 years ago