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3 years ago

9

A chemist makes a mixture using six cups of powder and 1/2 gallon of liquid. Write the ratio of powder to liquid. Express as a u

nit rate powder per gallon.

1 answer:

Svet_ta [14]3 years ago

7 0

3 cups to 1/4 gallon

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Quincy found 120 shells during four days at the beach. if quincy found the same number of shells each day, how many shells did h

Svetach [21]

If Quincy finds 120 shells in 4 days, we can use the equation 4x = 120 to find how many shells she found each day. 4x = 120 If we divide both sides by four we get x = 30 So Quincy found 30 shells each day.

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3 years ago

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Using the numbers -4, 10, 8, 2, -3, -5 create two expressions that equal six

docker41 [41]

Answer:

8-2 and 10-3

Step-by-step explanation:

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2 years ago

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HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270

BabaBlast [244]

Hi there! Use the following identities below to help with your problem.

$\large \boxed{sin \theta = tan \theta cos \theta} \\ \large \boxed{tan^{2} \theta + 1 = {sec}^{2} \theta}$

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

$\large{ {4}^{2} + 1 = {sec}^{2} \theta } \\ \large{16 + 1 = {sec}^{2} \theta } \\ \large{ {sec}^{2} \theta = 17}$

As we know, sec²θ = 1/cos²θ.

$\large \boxed{sec \theta = \frac{1}{cos \theta} } \\ \large \boxed{ {sec}^{2} \theta = \frac{1}{ {cos}^{2} \theta} }$

And thus,

$\large{ {cos}^{2} \theta = \frac{1}{17}} \\ \large{cos \theta = \frac{ \sqrt{1} }{ \sqrt{17} } } \\ \large{cos \theta = \frac{1}{ \sqrt{17} } \longrightarrow \frac{ \sqrt{17} }{17} }$

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

$\large{cos \theta = \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta = - \frac{ \sqrt{17} }{17}}$

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

$\large{sin \theta = 4 \times ( - \frac{ \sqrt{17} }{17}) } \\ \large{sin \theta = - \frac{4 \sqrt{17} }{17} }$

Answer

sinθ = -4sqrt(17)/17 or A choice.

4 0

3 years ago

Express 8 7/40 as a decimal

igor_vitrenko [27]

Answer: 8.175
Explanation: 8 is the whole number so set that aside look at 7/40, using simple division solve for a decimal

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2 years ago

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Will give out 25 points for right answer!!! (Both parts of answer 1)

patriot [66]

Answer:

1.x=41

x=9

Step-by-step explanation:

1.x-7=34

x=41

3x-7=20

3x=27

x=9

3 0

1 year ago