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Rus_ich [418]
3 years ago
5

Enrique earns 10 points for each question that he answers correctly on a geography test. Write an equation for the number of poi

nts, y, Enrique scores on the test when he answers ,x, questions correctly.
Mathematics
2 answers:
pantera1 [17]3 years ago
7 0
Number of questions he answered correctly = x
points for each correct answer = 10
total points = y

y = 10x
mr_godi [17]3 years ago
7 0

Each answer is given 10 points on being correctly answered in a geography test.

Now suppose the question answered correctly are x.

As each question answered correctly gets 10 points

So for x questions,

Enrique must get 10 times x = 10x points.

Now these total points are y.

Hence the equation shall be

y = 10x

The equation for the number of points y, scored by Enrique is

y= 10x

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Which equation has infinitely many solutions?
Umnica [9.8K]

Answer: B

Step-by-step explanation:

\dfrac{10x+8}{2} =5x+4\ cross\ products\\\\10x+8=10x+8\\\\0x=0\\

Every real is solution of the equation .

8 0
3 years ago
the ortiz will travel fron indianapolis to denver this summer.The driving distance between the two cities is 1058 miles. They ne
Sladkaya [172]

Answer:

  a. 2116 miles

  b. 105.8 gallons

  c. $305.76

  d. cost per gallon = total cost / number of gallons = total cost/105.8

Step-by-step explanation:

<h3>a. </h3>

The round-trip distance is the sum of the distances there and back. It is double the one-way distance.

  round-trip distance = 2 × one-way distance

  round-trip distance = 2 × 1058 miles = 2116 miles

__

<h3>b.</h3>

The gas used will be the distance divided by miles per gallon.

  gas used = round-trip distance / miles-per-gallon

  gas used = (2116 mi)/(20 mi/gal) = 105.8 gal

__

<h3>c.</h3>

The cost of gas will be the product of cost per gallon and number of gallons.

  cost of gas = cost-per-gallon × gallons

  cost of gas = $2.89/gal × 105.8 gal = $305.762 ≈ $305.76

__

<h3>d.</h3>

The relation used in the previous step can be used to find the cost per gallon. Divide that equation by gallons to get ...

  (cost of gas)/gallons = cost-per-gallon

For the same trip, the number of gallons is 105.8, so the equation becomes ...

  cost-per-gallon = (cost of gas)/105.8

3 0
2 years ago
Helppppppp! 15 points!
Vika [28.1K]

{\boxed{\mathcal{\purple{D.\:81}}}} ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

( {3})^{ \frac{11}{5} }  \div  {3}^{ \frac{ - 9}{5} }  \\  \\=(  {3})^{ \frac{11}{5} - ( \frac{ - 9}{5} ) }  \\ \\ = ( {3})^{ \frac{11}{5}   +  \frac{9}{5} }  \\ \\ = ( {3})^{ \frac{11 + 9}{5} } \\ \\  = ( {3})^{ \frac{20}{5} }  \\ \\  = ( {3})^{4}  \\ \\ = ( \: 3 \times 3 \times 3 \times 3 \: ) \\ \\ = 81

<u>Note</u>:-

{a}^{m}  \div  {a}^{n}  =  {a}^{m - n}

\sf\red{(-)\:x\:(-)\:=\:+}

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}

4 0
3 years ago
Given the diagram below, what is cos(45*)? <br><br> A.<br><br><br> B.<br><br><br> C.<br><br><br> D.
alina1380 [7]

Answer:

The answer is option B

Step-by-step explanation:

To find cos 45° we must first find the adjacent and the hypotenuse

Let the adjacent be x

Let the hypotenuse be h

To find the adjacent we use tan

tan ∅ = opposite / adjacent

From the question

the opposite is 9

So we have

tan 45 = 9 / x

x tan 45 = 9

but tan 45 = 1

x = 9

Since we have the adjacent we use Pythagoras theorem to find the hypotenuse

That's

h² = 9² + 9²

h² = 81 + 81

h² = 162

h = √162

h = 9√2

Now use the formula for cosine

cos∅ = adjacent / hypotenuse

The adjacent is 9

The hypotenuse is 9√2

So we have

cos 45 = 9/9√2

We have the final answer as

<h3 /><h3>cos 45 = 1 / √2</h3>

Hope this helps you

3 0
3 years ago
What is The “Big Stick Diplomacy"
liberstina [14]

Answer:

"Big Stick diplomacy is the policy of carefully mediated negotiation ("speaking softly") supported by the unspoken threat of a powerful military ("big stick")."

Step-by-step explanation:

(nationalgeographic)

3 0
2 years ago
Read 2 more answers
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