How to solve y=350(1+0.75)t

Use two unit multipliers to convert 600 miles to inches. ( Do not multiply out.)

Sphinxa [80]

Answer:

(600 mi) × (5280 ft/mi) × (12 in/ft)

Step-by-step explanation:

A "unit multiplier" is a multiplier that has a value of 1. That is, the numerator and denominator have the same value. For units conversion problems, the numerator quantity has the units you want, and the denominator quantity has the units you're trying to cancel.

You have units of miles. You know that ...

1 mile = 5280 feet

1 foot = 12 inches

You want to get to units of inches. With these conversion factors, you can do it in two steps (as the problem requests). The first conversion is from miles to feet using the unit multiplier (5280 feet)/(1 mile). This gives you a number of feet.

Then the second conversion is from feet to inches, so you use the one that lets you put inches in the numerator and feet in the denominator:

(12 inches)/(1 foot)

When you multiplie these all out, units of miles and feet cancel, and you're left with inches.

_____

With the above conversion factors, you can write unit mulipliers of either ...

(5280 ft)/(1 mi) . . . to convert to feet

or

(1 mi)/(5280 ft) . . . to convert to miles.

5 0

4 years ago

Match the inequality with its symbolic form.

zvonat [6]

Answer/Step-by-step explanation:

✔️A number is at most 5 => x ≤ 5

Rationale: if the number is x, x can be 5 or less than 5. This means x is less or equal to 5.

✔️A number is below 5 => x < 5

Rationale: if the number is x, x cannot be more than. This means x is less than 5.

✔️A number is at larger than 5 => x > 5

Rationale: if the number is x, x can is more than 5. This means x is greater than 5.

✔️A number is not less than 5 => x ≥ 5

Rationale: if the number is x, x can either be equal to 5 or greater than 5. This means x is greater than or equal to 5.

8 0

3 years ago

There are 14 juniors and 16 seniors in a chess club. a) From the 30 members, how many ways are there to arrange 5 members of the

LiRa [457]

Answer:

No. of juniors = 14

No. of seniors = 16

Total students = 30

A) From the 30 members, how many ways are there to arrange 5 members of the club in a line?

Since we are asked about arrangement so we will use permutation

Formula : $^nP_r=\frac{n!}{(n-r)!}$

n = 30

r = 5

$^{30}P_5=\frac{30!}{(30-5)!}$

$^{30}P_5=17100720$

So, From the 30 members, there are 17100720 ways to arrange 5 members of the club in a line?

B) How many ways are there to arrange 5 members of the club in a line if there must be a senior at the beginning of the line and at the end of the line?

Out of 16 seniors 2 will be selected

So, 3 places are vacant

Remaining students = 30-2 = 28

So, out of 28 students 3 students will be selected

No. of ways = $^{16}P_2 \times ^{28}P_3$

No. of ways = $\frac{16!}{(16-2)!}\times\frac{28!}{(28-3)!}$

= $4717440$

There are 4717440 ways to arrange 5 members of the club in a line if there must be a senior at the beginning of the line and at the end of the line.

C)If the club sends 2 juniors and 2 seniors to the tournament, how many possible groupings are there?

Since we are not asked about arrangement so we will use combination

Out of 16 seniors 2 will be selected

Out of 14 juniors 2 will be selected

Formula : $^nC_r=\frac{n!}{r!(n-r)!}$

So, No. of possible groupings = $^{16}C_2 \times ^{14}C_2$

= $\frac{16!}{2!(16-2)!} \times \frac{14!}{2!(14-2)!}$

= $10920$

If the club sends 2 juniors and 2 seniors to the tournament, there are 10920 possible groupings

D) If the club sends either 4 juniors or 4 seniors, how many possible groupings are there?

Out of 16 seniors 4 will be selected

or

Out of 14 juniors 4 will be selected

So, No. of possible groupings = $^{16}C_4 + ^{14}C_4$

= $\frac{16!}{4!(16-4)!} + \frac{14!}{4!(14-4)!}$

= $2821$

So,If the club sends either 4 juniors or 4 seniors, there are 2821 possible groupings .

4 0

3 years ago

37 For a class picnic, two teachers went to the same store to purchase drinks. One teacher purchased 18 juice boxes and 32 bottl

Pavel [41]

Answer:

Step-by-step explanation:

Let j represent the cost of a juice box.

Let w represent the cost of a bottle of water.

One teacher purchased 18 juice boxes and 32 bottles of water, and spent $19.92.. This means that

18j + 32w = 19.92 - - - - - - - - - - - - 1

The other teacher purchased 14 juice boxes and 26 bottles of water, and spent $15.76. This means that

14j + 26w = 15.76- - - - - - - - - - - - 2

Multiplying equation 1 by 14 and equation 2 by 18, it becomes

252j + 448w = 278.88

252j + 468w = 283.68

Subtracting, it becomes

- 20j = - 4.8

j = - 4.8/- 20 = 0.24

Substituting j = 0.24 into equation 1, it becomes

18 × 0.24 + 32w = 19.92

4.32 + 32w = 19.92

32w = 19.92 - 4.32 = 15.6

w = 15.6/32 = 0.4875

Kara's prices are incorrect.

the cost of a juice box is $0.24

the cost of a bottle of water is $0.4875

7 0

4 years ago

The greatest common factor of two whole numbers is 9. The ratio of the greater number to the lesser number is 6:5. What are the

skelet666 [1.2K]

Greater number would be = 9 x 6 = 54

Smaller number would be = 9 x 5 = 45

Step-by-step explanation:

Given that the Greatest Common Factor (GCF) of two whole numbers is 9.

Also the ratio is 6:5.

As we know that GCF is the greatest number that divides the two number.

So, if the ratio of two number is 6:5 then the greater number would be:

Greater number would be = 9 x 6 = 54

Smaller number would be = 9 x 5 = 45

Both the number have the ratio of 6:5 (54/45 = 6/5) and have a GCF of 9.

Keywords: Greatest Common Factor (GCF), ratio

Learn more at:

brainly.com/question/4713715

brainly.com/question/4302397

#LearnwithBrainly

4 0

3 years ago