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3 years ago

Simplify when it is possible. 10x² -y + x² =

Mathematics

2 answers:

mafiozo [28]3 years ago

3 0

Answer:

11x² - y

Step-by-step explanation:

Step 1: Write out expression

10x² - y + x²

Step 2: Combine like terms

11x² - y

That is simplest form.

masha68 [24]3 years ago

3 0

Answer:

$\huge \boxed{11x^2-y}$

Step-by-step explanation:

$10x^2 -y + x^2$

Grouping like terms.

$(10x^2 + x^2)-y$

Combining like terms.

$(11x^2)-y$

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A store sells 70 soccer balls one for $15.00 each and the other for $65.00 they made a total of 2,400. Write and solve the equat

Pepsi [2]

Answer:

One store sold 27, and the other sold 43.

Step-by-step explanation:

So, we can easily set this up in an equation. X represents the number of soccer balls in store one, and Y represents the number of soccer balls in store two. Since there's a total of 70 soccer balls...

x+y=70

And since we know how much money they sold for and made total...

15x+65y=2400

We'll grab that first equation and change it around a bit. We'll make it an equation where we're solving for y. Remember that when we switch a value from one side to the other, that value becomes negative. Since x is going to the other side, the x becomes negative.

y=-x+70

We can plug this equation into our second one.

15x+65(-x+70)=2400

We distribute the 65 to the values inside the parentheses.

15x-65x+4550=2400

We only want x on the left side, so we're going to subtract 4550 from both sides.

15x-65x=-2150

Then we can subtract 15x by 65x, resulting in another negative number.

-50x=-2150

Then, we just divide both sides by -50. A negative and a negative makes for a positive.

x=43

Now we know one store sold 43 soccer balls for $15 each. We can plug our new x into the first equation.

43+y=70

Then we subtract both sides by 43.

y=27

Now we know the other store sold 27 soccer balls for a whopping $65 each. Just to double check, we'll plug our numbers into the other equation, too.

15(43)+65(27)=2400

645+1755=2400

Yep! So, we end up with one store selling 43 and the other selling 27.

4 0

2 years ago

Pls help thank you:)

labwork [276]

Answer:

|2x-5|<3

Step-by-step explanation:

.............

4 0

2 years ago

The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy

Brut [27]

Answer:

A. 35 ft.

B. 35 ft

Step-by-step explanation:

Please see attached photo for diagram.

A. Determination of the diagonal using pythagorean theorem.

A square has all sides equal. Thus, the diagonal of the square can be obtained as follow:

Ist leg (L₁) = 25 ft

2nd leg (L₂) = 25 ft

Diagonal (d) =?

d² = L₁² + L₂²

d² = 25² + 25²

d² = 625 + 625

d² = 1250

Take the square root of both side

d = √1250

d = 35 ft

B. Determination of the diagonal using trigonometry.

Since all the sides in a square are equal, the angle between each leg will be 90°. Thus, the diagonal will bisect the angle between the two leg equally i.e

Angle between Diagonal and each leg = 90/2 = 45°

Finally, we shall determine the length of the diagonal. This can be obtained as follow:

Angle θ = 45°

Opposite = 25 ft

Hypothenus = d

Sine θ = Opposite / Hypothenus

Sine 45 = 25 / d

0.7071 = 25 / d

Cross multiply

0.7071 × d = 25

Divide both side by 0.7071

d = 25 / 0.7071

d = 35 ft

6 0

3 years ago

Find the slope - intercept for of the lime whose slope is 7 and that passes through point (-4,6)

CaHeK987 [17]

Y - y₁ = m(x - x₁)
y - 6 = 7(x - (-4))
y - 6 = 7(x + 4)
y - 6 = 7(x) + 7(4)
y - 6 = 7x + 28
<u> + 6 + 6</u>
y = 7x + 34

4 0

2 years ago

Alexis and Tasha challenged each other to a

Anvisha [2.4K]

Answer:

45 WPM

Step-by-step explanation:

A = 1.2T

54 = 1.2T

T = 45

8 0

3 years ago

Read 2 more answers