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3 years ago

Complete the problems in measurements. Show answers in simplest terms.

2 answers:

4 0

Explanation- 1 dozen=12
12x2 (because there are 2 dozen)= 24
24x5 (because there are 5 boxes)
120\6 (because there are 6 teams)
20
20 balls per team

marysya [2.9K]3 years ago

4 0

Answer:

20 balls to each team

Step-by-step explanation:

If 5 boxes contains 2 dozens

And 2 dozens= 24

Multiply boxes by dozens of balls

5×24=120

Then to share, you divide it buy the number of teams

120÷6= 20 balls

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What is the slope of the line shown in the graph? A. 2/3 B. -2/3 C. 3/2 D. -3/2

nataly862011 [7]

Answer:

Step-by-step explanation:

3 0

4 years ago

Rewrite the expression with the given base. 25^3x with a base of 5

spin [16.1K]

$\bf 25=5^2\qquad \qquad 25^{3x}\implies (5^2)^{3x}\implies 5^{2\cdot 3x}\implies 5^{6x}$

6 0

3 years ago

Read 2 more answers

X^2+4x+20=12x-5 Solve this equation

Scrat [10]

Answer:

4 + (or -) 3i

Step-by-step explanation:

Hi!

Alright, so we're going to move all of the variables and constants to one side. Then, using the quadratic formula, we'll find the answer.

1. Move 12x-5 to the left side of the equation by

a. Subtracting 12x from both sides

b. adding 5 to both sides.

1: x^2+4x+20-12x+5

2. Group the common terms

x^2+4x-12x+20+5 --> x^2-8x+25

3. Look at the problem. We can't factor this.

Explanation for why this isn't factorable (you can skip this)

(1) 25 is positive, so its two factors will both be either positive or negative. We're looking for a negative 8, so let's go with negative.

(2) Factors of 25: 1 & 25, 5 &5

Seeing the problem? Ya, none of the factors of 25 sum to eight. So, instead, we're going to use the quadratic formula.

4. So, the quadratic formula: $\frac{-b+-\sqrt{b^2-4ac} }{2a}$

Our equation is x^2-8x+25=0

a is the constant in front of the x^2

b is the constant in front of the x

c is the term without any x values

so, a=1, b=-8, and c= 25

Into equation:

$\frac{8+-\sqrt{64-4(1)(25)} }{2a}$ = $\frac{8+-\sqrt{64-100} }{2}$ = $\frac{8+-\sqrt{-36} }{2}$

8/2 = 4

sqrt(-36) = 6i

6i/2 = 3i (remember, we still have the two in the denominator)

4 + (or -) 3i

8 0

3 years ago

Read 2 more answers

Shaan walks 2.5 meters per second. His brother Dhvan walks 1 meter

MissTica

Answer:

The race must be up to 29 meters for Dhvan to win.

Step-by-step explanation:

Since Shaan walks 2.5 meters per second, while his brother Dhvan walks 1 meter per second, and Dhvan wants to have a race, and Shaan knows that he walks faster, but he wants to give his brother a head start of 45 meters, so it doesn't seem that he is allowing him to win, to determine how many meters long should the race be in order for Dhvan to win the following calculation must be performed:

45 / (2.5 - 1) = X

45 / 1.5 = X

30 = X

Therefore, the race must be up to 29 meters for Dhvan to win.

6 0

3 years ago

A wire 6 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the

zhenek [66]

Answer:

Used wire in circle x = 2.64 m

Used in square L - x = 3.36 m

Total wire used 6 m

Step-by-step explanation:

We have a wire of 6 meters long.

We will cut it a distance x from one end, to get two pieces

x and 6 - x

We are going to use the piece x to get the circle then

So Perimetr of a circle is 2π*r (r is the radius of the circle) then:

x = 2*π*r ⇒ r = x/2*π

And area would be A(c) = π* (x/2*π)² ⇒ A(c) = x²/4π

From 6 - x we will get a square, and as the perimeter is 4 times the side

we have

( 6 - x )/ 4 is the side of the square

And the area is A(s) = [( 6 - x ) /4]²

Total area as function of x is

A(t) = A(c) + A(s)

A(x) = x²/4π + [ ( 6 - x ) / 4 ]²

A(x) = x²/4π + (36 + x² - 12x) /16

A(x) = 1 / 16π [ 4x² + 36π + πx² - 12π x ]

Taking drivatives on both sides of the equation we get:

A´(x) = 1/ 16π [8x +2πx - 12π]

A´(x) = 0 ⇒ 1/ 16π [8x +2πx - 12π] = 0

[8x +2πx - 12π] = 0

8x + 6.28x - 37.68 = 0

14.28x - 37.68 = 0 ⇒ x = 37.68 /14.28

x = 2.64 m length of wire used in the circle

Then the length L for the side of the square is

(6 - x )/4 ⇒ ( 6 - 2.64 )/ 4 ⇒ 3.36 / 4

L = 0.84 m total length of wire used in the square is

3.36 m

And total length of wire used is 6 m

The function is a quadratic function and "a" coefficient is positive then is open upward parabola there is not a maximun

5 0

4 years ago