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2 years ago

Dale is saving money to buy a game. So far he has saved $30, which is two-thirds of the total cost of the game. How much

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

4 0

Answer: T

Step-by-step explanation: Hmm...

Let's organize this problem.

Since he saved

, he as

Now, that is five-sixths of the total cost of the game.

Let's name the total cost

If we have a fraction of something, say, half of four, we multiply the fraction by the whole.

half of four

⋅

Similarly, two-thirds of the total can be represented as:

⋅

Now, the problem is telling us that

is equal to the expression above.

Therefore,

2/3

⋅

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Very confusing i know

777dan777 [17]

Answer:

(x + 10)² + (y + 4)² = 232

Step-by-step explanation:

<h3>Given </h3>

Center = (-10, -4)
Point on circle = (4, 2)

The equation of circle

<h3>Solution</h3>

<u>Remember the standard equation of circle:</u>

(x - h)² + (y - k)² = r², where (h, k) is the center and r is radius

h = -10, k = -4

Use distance formula (Pythagorean theorem) to work out the length of the radius. We know that radius is the distance from the center to any point on the circle.

<u>Here we are finding the distance between points (-10, -4) and (4, 2)</u>

r² = (-10 - 4)² + (-4 - 2)²
r² = 14² + 6²
r² = 232

<u>So the equation is:</u>

(x + 10)² + (y + 4)² = 232

7 0

2 years ago

If A and B are independent events, P(A) = 0.25, and P(B) = 0.3, what is P(AB)?

Marrrta [24]

Answer:

$P(A) = 0.25, P(B= 0.3$

And if we want to find $P(A \cap B)$ we can use this formula from the definition of independent events :

$P(A \cap B) =P(A) *P(B) = 0.25*0.3= 0.075$

And the best option would be:

$P(A \cap B) =0.075$

Step-by-step explanation:

For this case we have the following events A and B and we also have the probabilities for each one given:

$P(A) = 0.25, P(B= 0.3$

And if we want to find $P(A \cap B)$ we can use this formula from the definition of independent events :

$P(A \cap B) =P(A) *P(B) = 0.25*0.3= 0.075$

And the best option would be:

$P(A \cap B) =0.075$

3 0

2 years ago

Se vendieron un total de 430 boletos para la obra de teatro escolar. Los boletos eran o de adulto o de estudiante. Se vendieron

BartSMP [9]

Resolviendo un sistema de ecuaciones, veremos que se vendieron 250 boletos de adulto.

<h3>¿Cuántos boletos de adulto fueron vendidos?</h3>

Definamos las variables:

x = boletos de adulto vendidos.
y = boletos de estudiantes vendidos.

Se vendieron un total de 430 boletos, entonces:

x + y = 430

Y se vendieron 70 boletos de estudiante menos que boletos de adulto:

y = x - 70

Tenemos el sistema de ecuaciones:

x + y = 430

y = x - 70

Para resolverlo, podemos reemplazar la segunda ecuación en la primera:

x + y = 430

x + (x - 70) = 430

2x = 430 + 70 = 500

x = 500/2 = 250

Se vendieron 250 boletos de adulto.

Sí quieres aprender más sobre sistemas de ecuaciones:

brainly.com/question/13729904

#SPJ1

5 0

1 year ago

Amelia wants to paint three walls in her family room two walls are 26 feet long by 9 feet wide the other wall is 18 feet long by

Svetllana [295]

26 by 9
Area = L*W
Area = 26 * 9
Area = 234 square feet but there are 2 such walls
Area = 234 * 2
Area = 468 square feet total for these walls.

18 by 9
Area = L*W
Area = 18 * 9
Area = 162 square feet

Total area = 468 + 162 = 630 square feet.

1 gallon covers 250 square feet
x gallon covers 630 square feet

1/x = 250/630
250 x = 1 * 630
x = 630 / 250
x = 2.52 gallons. It is best that she buy 3 gallons of paint.

7 0

2 years ago

If the hypotenus is 41 inches, and one of the legs is 40 inches what is the length of the other Leg

andre [41]

You find the answer through the Pythagorean theorem

a^2 + b^2 = c^2 a & b are the legs and c is the hypotenuse
a = 40
b = ?
c = 41

40^2 + b^2 = 41^2
1600 + b^2 = 1681
b^2 = 1681 - 1600
b^2 = 81
b = 9

the length of the other leg is 9

i hope you found this helpful!

7 0

2 years ago