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2 years ago

Adam spent $3.42 on orange juice. orange juice costs $0.12 per ounce. how many ounces of orange juice did adam buy?

Mathematics

1 answer:

nikklg [1K]2 years ago

6 0

0.12 = 1 ounce. 12 goes into 342, 28.5 times. Your answer would be 28.5.
(3.42 divided by 0.12)

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Trigonometry

Mashcka [7]

The area of the triangle EFG is 7.4 square units.

Explanation:

Given that the measurements of the sides of the triangle are EF = 8, EG = 8 and $m\angle E=22^{\circ}$

We need to determine the area of the triangle EFG

<u>Area of the triangle:</u>

The area of the triangle EFG can be determined using the formula,

$\text {Area}=\frac{1}{2} fg \sin E$

Substituting the values, we get,

$\text {Area}=\frac{1}{2} (5)(8) \sin 22^{\circ}$

Simplifying the values, we have,

$\text {Area}=\frac{1}{2}(40)(0.37)$

Multiplying, we get,

$\text {Area}=\frac{14.8}{2}$

Dividing, we get,

$\text {Area}=7.4$

Hence, the area of the triangle EFG is 7.4 square units.

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2 years ago

Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers

Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the $x^2$ coefficient is 1, i.e. the equation is written like $x^2+bx+c=0$ , then you can say the following about the coefficients b and c:

$b$ is the opposite of the sum of the roots
$c$ is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

$4+(-2) = 4-2 = 2 \implies b = -2$
$4 \cdot (-2) = -8 \implies c = -8$

So, the equation is $x^2-2x-8=0$

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

$\dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}$
$\dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}$

And so the equation is

$x^2 - \dfrac{5}{4} + \dfrac{3}{8} = 0$

In order to have integer coefficients, you can multiply both sides of the equation by 8:

$8x^2 - 10 + 3 = 0$

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2 years ago

Abby takes a ride-sharing service to ride from her home to the mall. The ride-sharing service charges $1.75 per mile plus a one-

Dmitrij [34]

Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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2 years ago

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Multiply or divide. Show your work.<br><br> 5x+10/x+2*2x/4x-10

jolli1 [7]

$\frac{5x + 10}{x + 2} * \frac{2x}{4x - 10} = \frac{5(x) + 5(2)}{x + 2} * \frac{2x}{2(x) - 2(5)} = \frac{5(x + 2)}{x + 2} * \frac{2x}{2(x - 5)} = \frac{5}{1} * \frac{x}{x - 5} = \frac{5x}{x - 5}$

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2 years ago