I need help on 1&2 pls

Hardy has three times as many tennis balls as kerns. They have 940 tennis balls in all. How many tennis balls does Hardy have th

topjm [15]

Answer:

Hardy has 470 more tennis balls than Kerns.

Step-by-step explanation:

Given that:

Total number of tennis balls = 940

Let,

x represents the number of tennis balls Hardy has.

y represents the number of tennis balls Kerns has.

According to given statement,

x+y=940 Eqn 1

x = 3y Eqn 2

Putting x = 3y in Eqn 1

3y+y=940

4y=940

Dividing both sides by 4

$\frac{4y}{4}=\frac{940}{4}\\y=235$

Putting y=235 in Eqn 2

x = 3(235)

x = 705

Difference = Hardy's tennis balls - Kerns' tennis balls

Difference = 705 - 235 = 470

Hence,

Hardy has 470 more tennis balls than Kerns.

3 0

2 years ago

Solve:<br> 3c - 15 = 17 - c<br> plsss helpp !! i put 20 pts on this !!

azamat

Answer:

c=8

Step-by-step explanation:

Simplifying

3c + -15 = 17 + -1c

Reorder the terms:

-15 + 3c = 17 + -1c

Solving

-15 + 3c = 17 + -1c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add 'c' to each side of the equation.

-15 + 3c + c = 17 + -1c + c

Combine like terms: 3c + c = 4c

-15 + 4c = 17 + -1c + c

Combine like terms: -1c + c = 0

-15 + 4c = 17 + 0

-15 + 4c = 17

Add '15' to each side of the equation.

-15 + 15 + 4c = 17 + 15

Combine like terms: -15 + 15 = 0

0 + 4c = 17 + 15

4c = 17 + 15

Combine like terms: 17 + 15 = 32

4c = 32

Divide each side by '4'.

c = 8

Simplifying

c = 8

5 0

2 years ago

Read 2 more answers

Suppose the diameter of a circle is 6 units What is its circumference?

Kipish [7]

Answer:

18.84 estimated, 6π exactly

Step-by-step explanation:

Hi!

<u>The formula for finding the circumference of a circle is 2πr:</u>

In that case, all we need to do <em>first </em>is to divide the diameter by 2, so we can substitute that into the equation.

6 ÷ 2 = 3

So we have 2π × 3 to solve.

2π × 3 = 6π

We can estimate the circumference by multiplying by 3.14.

6 × 3.14 = 18.84

(actually multiplying by π gives 18.849... which is pretty close!)

Thus, the circumference is $\boxed{6\pi{\text{\:or\:18.84\:roughly}}}$ .

Hope this helps!

6 0

2 years ago

For each home run hit in a baseball game, a

nata0808 [166]

the answer is “c” i believe

8 0

2 years ago

Enter the correct answer in the box. solve the equation x2 − 16x 54 = 0 by completing the square. fill in the values of a and b

poizon [28]

The roots of the given polynomials exist $x=8+\sqrt{10}$ , and $x=8-\sqrt{10}$ .

<h3>What is the formula of the quadratic equation?</h3>

For a quadratic equation of the form $a x^{2}+b x+c=0$ the solutions are

$x_{1,2}=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Therefore by using the formula we have

$x^{2}-16 x+54=0$$

Let, a = 1, b = -16 and c = 54

Substitute the values in the above equation, and we get

$x_{1,2}=\frac{-(-16) \pm \sqrt{(-16)^{2}-4 \cdot 1 \cdot 54}}{2 \cdot 1}$$

simplifying the equation, we get

$$&x_{1,2}=\frac{-(-16) \pm 2 \sqrt{10}}{2 \cdot 1} \\$

$$&x_{1}=\frac{-(-16)+2 \sqrt{10}}{2 \cdot 1}, x_{2}=\frac{-(-16)-2 \sqrt{10}}{2 \cdot 1} \\$

$$&x=8+\sqrt{10}, x=8-\sqrt{10}$

Therefore, the roots of the given polynomials are $x=8+\sqrt{10}$ , and

$x=8-\sqrt{10}$ .

To learn more about quadratic equations refer to:

brainly.com/question/1214333

#SPJ4

3 0

11 months ago

Read 2 more answers