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Marley picked 18 bananas, which is 6 timies as many bananas as Julans picked. The equation 6x?=18 can be used to find the number

ivann1987 [24]

Answer:

1. 6x = 18 (Divide by six on both sides

2. $\frac{6x}{6} =\frac{18}{6}$ (the6 on the right side cancels out, you are left with 18/6)

3. x = 3

Step-by-step explanation:

5 0

3 years ago

Write an equation for an ellipse centered at the origin, which has foci at (\pm8,0)(±8,0)left parenthesis, plus minus, 8, comma,

mario62 [17]

Answer:

The equation of the ellipse is $\frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1$

Step-by-step explanation:

The standard form of the equation of an ellipse with center (0 , 0) is

$\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$ , where

The coordinates of the vertices are (± a , 0)

The coordinates of the foci are (± c , 0) , where c ² = a² - b²

∵ The ellipse is centered at the origin

∴ The center of it is (0 , 0)

∵ It has foci at (± 8 , 0)

- The coordinates of the foci are (± c , 0)

∴ c = ±8

∵ It has Vertices at (± 17 , 0)

- The coordinates of the vertices are (± a , 0)

∴ a = ±17

∵ c² = a² - b²

- Substitute the values of c and a to find b

∴ (8)² = (17)² - b²

∴ 64 = 289 - b²

- Add b² to both sides

∴ b² + 64 = 289

- Subtract 64 from both sides

∴ b² = 225

- Take √ for both sides

∴ b = ± 15

∵ The equation of the ellipse is $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$

- Substitute the values of a and b in it

∴ $\frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1$ ⇒ $\frac{x^{2}}{289}+\frac{y^{2}}{225}=1$

∴ The equation of the ellipse is $\frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1$

6 0

4 years ago

Amanda has a board that is 7 feet long. how many 1/4 foot sections can she cut from this board

Schach [20]

Answer:

28

Step-by-step explanation: You need to divide 7 by 1/4. Whenever you divide fractions you keep the first number as it is, change the sign to multiplication and write the reciprocal of the second fraction which is you have to flip the fraction. It is going to be 7 times 4/1. Which is 28/1 which is 28.

8 0

3 years ago

Please answer this question (picture)

ki77a [65]

3x + 4y is simplified

8 0

3 years ago

How to check division with multplication<br><img src="https://tex.z-dn.net/?f=3%20%5Ctimes%20292%20" id="TexFormula1" title="3 \

svetoff [14.1K]

Answer: By cross multiplication.

Step-by-step explanation: Given product is 3 × 292.

We know that after simple multiplication, we get 3 × 292 = 876.

Now, to check division with multiplication, either we need to divide 876 by 3 to get the answer 292,

or

we need to divide 876 by 292 to get the answer 3.

We will do that as follows -

$\dfrac{876}{3}=292~~~\textup{and}~~~\dfrac{876}{292}=3.$

Thus, doing cross-multiplication, we arrive at our conclusion.

6 0

4 years ago