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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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Help. after i post this i will have 2 points lwft
Thepotemich [5.8K]

The slope is the ratio between the change in the y and x values. When you write a line as y=mx+q, the slope is the coefficient m. So, the slope of the first graph is 405, which means that the first plane flies with a speed of 405 miles per hour.

Similarly, from the table we can see that each time you increase x by 1, the distance traveled increases by 435. So, the slope of the second graph is 435, which means that the second plane flies with a speed of 435 miles per hour, and is thus faster.

4 0
3 years ago
Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your
bonufazy [111]

Answer:

Using the rule of 72, the doubling time is 9.35 years.

The exact answer is that the doubling time is 8.89 years.

Step-by-step explanation:

By the rule of 72, we have that the doubling time D is given by:

D = \frac{72}{Interest Rate}

The interest rate is in %.

In our exercise, the interest rate is 7.7%. So, by the rule of 72:

D = \frac{72}{7.7} = 9.35.

Exact answer:

The exact answer is going to be found using the compound interest formula(since the rule of 72 is a simplification of this formula).

The compound interest formula is given by:

A = P(1 + \frac{r}{n})^{nt}

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

A = 2P

r = 0.077

There are 52 weeks in a year, so n = 52

A = P(1 + \frac{r}{n})^{nt}

2P = P(1 + \frac{0.077}{52})^{52t}

2 = (1.0015)^{52t}

Now, we apply the following log propriety:

\log_{a} a^{n} = n

So:

\log_{1.0015}(1.0015)^{52t} = \log_{1.0015} 2

52t = 462.44

t = \frac{462.44}{52}

t = 8.89

The exact answer is that the doubling time is 8.89 years.

6 0
3 years ago
What is the solution to 2h + 8 > 3h - 6
Romashka [77]

Answer: H<14

Expelnation:2

h

+

8

>

3

h

−

6

8

>

h

−

6

(subtract

2

h

from both sides)

14

>

h

(add

6

to both sides)

or

h

<

14

7 0
2 years ago
Help please 23 points will make brainliest
svlad2 [7]
It should be 78.54.
Double check that. 
Formula: V=πr2h/3
r2 is R squared 
8 0
3 years ago
Una persona asegura que su casa tiene forma rectangular y que el perímetro de la misma es de 18 m y que además, su área es de 21
leva [86]

Considerando las fórmulas para el perímetro y el área de un rectángulo, hay que se chega en una <u>eccuación cuadrática sin solución</u>, o sea, las medidas no son posibles y la persona estaba mintiendo.

<h3>¿Cuál es la fórmula para el perímetro y el área de un rectángulo?</h3>

Considerando que las dimensiones son l y w, hay que:

  • El perímetro es: P = 2(l + w).
  • El área es: A = lw.

El <u>perímetro es de 18 m</u>, o sea:

2(l + w) = 18

l + w = 9

l = 9- w.

El <u>área es de 21 m²</u>, o sea:

lw = 21

(9- w)w = 21

-w² + 9 - 21 = 0

w² - 9w + 21 = 0

El discriminante es dado por:

D = 9² - 4 x 1 x 21 = -3.

El discriminante negativo implica que la <u>eccuación cuadrática no tiene solución</u>, o sea, las medidas no son posibles y la persona estaba mintiendo.

Puede-se aprender más a cerca de el perímetro y el área de un rectángulo en brainly.com/question/26475963

#SPJ1

4 0
1 year ago
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