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2 years ago

6

Anthony has a points card for a movie theater. He receives 85 rewards points just for signing up. • He earns 2.5 points for each

visit to the movie theater. He needs 100 points for a free movie ticket.

2 answers:

ArbitrLikvidat [17]2 years ago

8 0

Equation: 2.5x + 85 = 100

Answer: x = 6

borishaifa [10]2 years ago

6 0

Answer:

go 5 more times

Step-by-step explanation:

2.5+2.5= 5 x 3= 15 + 85= 100

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What is the solution for the system of equations {4x−3y=36x−2y=4?

dimaraw [331]

Answer:

x = 1/25

y = 32/25

Step-by-step explanation:

3 0

2 years ago

A rectangular poster is 10 inches longer than it is wide. If the area of the poster is 171 square inches, find the dimensions of

aivan3 [116]

Length= 19 inches
width= 9 inches

4 0

2 years ago

Help plz I need the answer real quick???

Fudgin [204]

Answer:

Distance between mall and library is 6.32 miles.

Step-by-step explanation:

Coordinates of the door to the library is at (2, 4) and door to the mall is at (8, 4).

Since, distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

Distance = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

By this formula,

Distance between (2, 4) and (8, 4) will be,

Distance = $\sqrt{(8-2)^2+(2-4)^2}$

= $\sqrt{36+4}$

= $\sqrt{40}$

= 6.32 miles

4 0

2 years ago

According to the United States Health and Human Services, the mean height for Americans is 1.757 meters for men and 1.618 meters

Alchen [17]

Answer:

Her z-score is 2.03.

Step-by-step explanation:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

Michelle’s height is 1.758 meters. What is her z-score?

Michelle's is a woman.

The average height of women is $\mu = 1.618$ and the standard deviation is $\sigma = 0.069$

This is Z when X = 1.758. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1.758 - 1.618}{0.069}$

$Z = 2.03$

Her z-score is 2.03.

7 0

3 years ago

A, b, c and d are positive integers, such that a+b+ ab = 76, c+d+ cd = 54. Find (a+b+c+d)·a·b·c·d.

lutik1710 [3]

Notice that

(1 + <em>x</em>)(1 + <em>y</em>) = 1 + <em>x</em> + <em>y</em> + <em>x y</em>

So we can add 1 to both sides of both equations, and we use the property above to get

<em>a</em> + <em>b</em> + <em>a b</em> = 76 ==> (1 + <em>a</em>)(1 + <em>b</em>) = 77

and

<em>c</em> + <em>d</em> + <em>c d</em> = 54 ==> (1 + <em>c</em>)(1 + <em>d</em>) = 55

Now, 77 = 7*11 and 55 = 5*11, so we get

<em>a</em> + 1 = 7 ==> <em>a</em> = 6

<em>b</em> + 1 = 11 ==> <em>b</em> = 10

(or the other way around, since the given relations are symmetric)

and

<em>c</em> + 1 = 5 ==> <em>c</em> = 4

<em>d</em> + 1 = 11 ==> <em>d</em> = 10

Now substitute these values into the desired quantity:

(<em>a</em> + <em>b</em> + <em>c</em> + <em>d</em>) <em>a</em> <em>b</em> <em>c</em> <em>d</em> = 72,000

6 0

2 years ago