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4 years ago

Solve the equation for x. 5(2x − 8) = 90

Mathematics

2 answers:

ser-zykov [4K]4 years ago

8 0

10x-40=90. 10x=130. X=13.

lina2011 [118]4 years ago

8 0

5(2x-8)=90
10x-40=90
10x=130
x=13

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(1 point) 6 cards are drawn at random without replacement from a standard deck. Be accurate to 7 decimal places. a) Find the pro

V125BC [204]

Answer:

a) P=0.0000843

b) P=0.0000454

c) P=0.0066113

Step-by-step explanation:

6 cards are drawn at random without replacement from a standard deck.

a) We calculate the probability that all the cards are hearts.

We calculatethe number of possible combinations:

$C^{52}_6=\frac{52!}{6!(52-6)!}=20358520$

We calculate the number of favorable combinations:

$C_6^{13}=\frac{13!}{6!(13-6)!}=1716$

Therefore, the probability is

$P=\frac{1716}{20358520}\\\\P=0.0000843$

b) We calculate the probability that all the cards are face cards.

We calculatethe number of possible combinations:

$C^{52}_6=\frac{52!}{6!(52-6)!}=20358520$

We calculate the number of favorable combinations:

$C_6^{12}=\frac{12!}{6!(12-6)!}=924$

Therefore, the probability is

$P=\frac{924}{20358520}\\\\P=0.0000454$

c) We calculate the probability that all the cards are even.

We calculatethe number of possible combinations:

$C^{52}_6=\frac{52!}{6!(52-6)!}=20358520$

We calculate the number of favorable combinations:

$C_6^{24}=\frac{24!}{6!(24-6)!}=134596$

Therefore, the probability is

$P=\frac{134596}{20358520}\\\\P=0.0066113$

7 0

3 years ago

You need to mix 3 pints of water and 13 pints of vinegar to make a cleaner. Which

Tju [1.3M]

Answer:

2 gallon bottle is the smallest because it would be 16 pints of cleaner and that is equal to 2 gallons.

4 0

3 years ago

What is the value of x? A. 3 B. 9 C. 15 D. 30

ra1l [238]

Answer:

C. 15

Step-by-step explanation:

Assuming that these segments formed from each parallel line are proportional, x/5 = x-6/3.

Now cross multiply by multiplying each denominator by the opposite numerator, this is so the denominators or bottom numbers of each fraction will cancel.

x/5 = x–6/3 → (3)(x/5) = (3)(x–6/3) → 3x/5 = x–6 →

(5)(3x/5) = (5)(x–6) → 3x = 5(x–6) → 3x = 5x – 30.

The last step is to do the basic algebra to find x:

3x = 5x – 30

–5x –5x

[5x will cancel when you subtract both sides by 5x]

-2x = -30

(-1) (-1)

[2 negatives make a positive when -1 is multiplied by an expression with a negative coefficient]

2x = 30

÷2 ÷2

[divide both sides by 2 to simplify 2x to x]

x = 15

_____

You can also check that both sides are proportional because

5 → x

x = 15

5 → 15

3 → x – 6

x = 15

3 → 9

5 × 3 = 15

3 × 3 = 9

7 0

3 years ago

5 years ago, Cheryl was d years old, Brandon is 2 years older than Cheryl.

lana [24]

Answer: See explanation

Step-by-step explanation:

a. how old is Cheryl?

Cheryl's age = d + 5

b. how old is Brandon?

d + 5 + 2

= d + 7

c. what was the difference in their ages 5 years ago?

Cheryl age five years ago = d

Brandon's age five years ago = d + 2

Difference = d + 2 - d = 2 years

d. what is the sum of their ages now?

Cheryl's age = d + 5

Brandon age = d + 7

Sum = d + 5 + d + 7

= 2d + 12

e. what will the sum of their ages be two years from now?

Two years from now,

Cheryl's age = d + 5 + 2 = d + 7

Brandon age = d + 7 + 2 = d + 9

Sum = d + 7 + d + 9

= 2d + 16

f. what will the difference of their ages be two years from now

Two years from now,

Cheryl's age = d + 5 + 2 = d + 7

Brandon age = d + 7 + 2 = d + 9

Difference = Brandon age - Cheryl age

= (d + 9) - (d + 7)

= 2 years.

4 0

3 years ago

Find the value of YVU

tigry1 [53]

XV = 180
180 - 85 = 95

3 0

3 years ago