Factor this question completely

A cross-country team had a total of 10 practices last week, with each practice being in the morning or the afternoon. During eac

GalinKa [24]

x= morning

y = afternoon

x + y = 10

x=10-y

5x + 6y =57

5(10-y) +6y =57

50-5y +6y =57

y=7

x=10-7 =3

check 3*5 = 15, 7*6 = 42, 42 + 15 = 57

3 morning practices

3 0

3 years ago

Approximately what percentage of apple diameters is greater than the 66th percentile? 21. A. 3.4% B. 17% C. 66% D. 34%

astraxan [27]

Answer:

The correct option is D) 34%.

Step-by-step explanation:

Consider the provided information.

If it is given that you scored in the 66th percentile, that means you scored "as well as or better than" 66% of the group.

Here it is given that 66th percentile that means 66% of the data located below the 66th percentile.

That means 100%-66% = 34% of the data located above the 66th percentile,

Thus, the approximately 34% percentage of apple diameters is greater than the 66th percentile.

Therefore, the correct option is D) 34%.

5 0

3 years ago

The Nut Shoppe sells walnuts for $4.00 a pound and cashews for $7.00 a pound. How many pounds of cashews should be mixed with 10

Anton [14]

Answer: He sold 10 pounds of cashews .

Step-by-step explanation:

Since we have given that

Selling price of walnuts = $4.00 a pound

Selling price of cashews = $7.00 a pound

Number of pounds of walnuts = 10

Let number of pounds of cashew be x

Total price at which he sold a mixture = $5.50

According to question,

$10\times 4+x\times 7=(10+x)\times 5.50\\\\40+7x=55+5.5x\\\\7x-5.5x=55-40\\\\1.5x=15\\\\x=\frac{15}{1.5}\\\\x=10$

Hence, he sold 10 pounds of cashews .

7 0

3 years ago

The shorter leg of a right triangle is 5 inches shorter than the longer leg. The hypotenuse is 5 inches longer than the longer l

Licemer1 [7]

Answer:

longer leg: 20 in

shorter leg: 15 in

hypotenuse: 25 in

Formulas:

<u>Pythagorean Theorem</u>

$c^2 = a^2 + b^2$

c ... hypotenuse

a ... one leg

b ... another leg

Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).

Step-by-step explanation:

longer leg: x

shorter leg: x - 5

hypotenuse: x + 5

To find x (longer leg), let's use Pythagorean theorem.

$c^2 = a^2 + b^2\\(x+5)^2 = x^2 + (x-5)^2\\x^2 + 10x + 25= x^2 + x^2 -10x + 25\\x^2 + 10x = 2x^2 - 10x\\0 = x^2 - 20x$

Now let's factorize to get solutions for x.

$0 = x(x-20)$

First solution:

$x = 0$

Second solution:

$x - 20 = 0\\x = 20$

Since a side of a triangle has to be a positive number, x is equal to 20.

Now let's just substitute x back to get side lengths. From the question the lengths are in inches.

longer leg: x = 20 in

shorter leg: x - 5 = 20 - 5 = 15 in

hypotenuse: x + 5 = 20 + 5 = 25 in

6 0

2 years ago

IQ scores are normally distributed with a mean of 100 and a

Alekssandra [29.7K]

Answer:

33.2%

Step-by-step explanation:

Calculate the z-scores.

z = (x − μ) / σ

z₁ = (82 − 100) / 15

z₁ = -1.2

z₂ = (98 − 100) / 15

z₂ = -0.133

Use a chart or calculate to find the probability.

P(-1.2 < Z < -0.133) = P(Z < -0.133) − P(Z < -1.2)

P(-1.2 < Z < -0.133) = 0.4470 − 0.1151

P(-1.2 < Z < -0.133) = 0.3319

Rounded to the nearest tenth, the percentage is 33.2%.

7 0

3 years ago