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3 years ago

Each serving for a box of trail mix is 3/8 of a cup.

Mathematics

1 answer:

Andrew [12]3 years ago

3 0

Answer:

It's 4

Step-by-step explanation:

It asks how many 3/8 cups are in 1 1/2 cups. So, we divide.

1 1/2 ÷ 3/8. We have to change the 1 1/2 into a improper fraction. 1 1/2 = 3/2. 3/2 ÷ 3/8 = 3/2 ÷ 8/3 = 24/6. Simplify, and you get 4. :)

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Match each quadratic equation with its solution set.

Marianna [84]

Answer:

( 8 , - 8) => x² - 55 = 9

( 4 , - 4) => 2x² - 32 = 0

(5 , - 5) => 4x² - 100 = 0

(11 , - 11) => x² - 140 = -19

( 3, - 3) => 2x² - 18 = 0

Step-by-step explanation:

$2x^2 - 32 = 0\\\\2(x^2 - 16 ) = 0 \\\\x^2 - 16 = 0 \\\\x^2 = 16 \\\\x = \sqrt {16 } = \pm 4$

x = ( 4 , - 4)

$4x^2 - 100 = 0 \\\\4(x^2 - 25 ) = 0\\\\x^2 - 25 = 0 \\\\x^2 = 25 \\\\x= \sqrt{25} = \pm 5$

x = ( 5 , - 5 )

$x^2 - 55 = 9 \\\\x^2 = 9 +55\\\\x^2 = 64\\\\x = \sqrt{64} = \pm 8$

x= ( 8 , - 8)

$x^2 - 140 = - 19\\\\x^2 = -19 + 140 \\\\x^2 = 121 \\\\x= \sqrt{121} = \pm 11$

x = ( 11 , -11)

$2x^2 - 18 = 0\\\\2(x^2 - 9) = 0\\\\x^2- 9 = 0 \\\\x^2 = 9 \\\\x = \sqrt9 = \pm 3$

x = ( 3 , - 3)

8 0

3 years ago

Read 2 more answers

What are the multiples of 14?

Mrrafil [7]

14,28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238,252,266,280,294,308,

Is that enough?

7 0

3 years ago

Read 2 more answers

15 points. Please answer as soon as possible.

abruzzese [7]

Answer:

A. $\frac{(a-b)^{2} +b^{2} }{a^{2}}$

Step-by-step explanation:

So to get the area of a square, we need to find the length of one side.

We know the length of the larger square is a, so the area of the larger cube is $a^{2}$

We can find the length of a side of the smaller square by using pythagoreans theorem to find the hypotenuse of the triangle formed in the bottom left corner. The length of one side along the x axis is a - b, and the length of the other side, along the y-axis, is b.

We can plug it into pythagoreans theorem to get

$(a-b)^{2} +b^{2} = C^{2}$ (C represents the length of one side of the smaller square, and the hypotenuse of the triangle)