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3 years ago

Write an expression for the number of feet in x inches.

Mathematics

2 answers:

Scrat [10]3 years ago

8 0

C is the number of feet.

So 12x is 12 inches times however many feet you have

alina1380 [7]3 years ago

6 0

let x = the number of feet

12x=x, every feet has 12 inches, so that if you have x amount of feet times 12, you will get the amount of inches

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which expression is not equal to the expression shown? 3 to the 3rd power divided by 3 to the negative 4th power. Need the answe

Alecsey [184]

Answer:

$3^{-3}$ ÷ $3^{4}$

Step-by-step explanation:

Evaluate $3^3$ ÷ $3^{-4}$ , then evaluate each given expression to find which of them will give us the same result.

$3^3$ ÷ $3^{-4}$

$27$ ÷ $\frac{1}{3^4}$ (recall: $a^{-x} = \frac{1}{a^x}$

$27$ ÷ $\frac{1}{81}$

$27 * \frac{81}{1}$ (changing from division operation to multiplication by flipping the fraction to our right upside down)

$27 * 81 = 2,187$

Let's compare the expressions in the given options to the value we got above:

Option 1: 3*3⁶

= 3*729 = 2,187 (this is equal)

Option 2: 3⁷ ÷ 3⁰

= 2,187 ÷ 1 (recall: x⁰ = 1, therefore, 3⁰ = 1)

= 2,187 (this is equal)

Option 3: 3³ * 3⁴

= 27*81 = 2,187 (this is equal)

Option 4: $3^{-3}$ ÷ $3^{4}$

$\frac{1}{3^3}$ ÷ $81$

$\frac{1}{27}$ ÷ $81$

$\frac{1}{27} * \frac{1}{81}$ (changing from division to multiplication)

$= \frac{1*1}{27*81}$

$= \frac{1}{2,187}$ (not equal)

$3^{-3}$ ÷ $3^{4}$ i not equal to $3^3$ ÷ $3^{-4}$ .

8 0

3 years ago

Maya is taking her friends to a concert. Each ticket costs $25, and souvenir T-shirts are $12 each. There is a $4 service fee fo

evablogger [386]

Answer:

$25x+12y+4 \leq 130$

Step-by-step explanation:

Here, x represents the number of tickets and y represents the number of T-shirts.

As per the statement:

Each ticket costs $25, and souvenir T-shirts are $12 each

⇒Total cost of ticket = 25x and Total cost for T-shirt = 12y

It is also given that there is a $4 service fee for the entire purchase.

$25x+12y+4$

Since, she has $130

⇒ $25x+12y+4 \leq 130$

Therefore, an inequality could you use to answer the problem is, $25x+12y+4 \leq 130$

8 0

3 years ago

Somebody please help me with this

satela [25.4K]

Answer:

15/56

Step-by-step explanation:

5 people have a license

3 people don't

? = Probability that first person has a license and second does not

We can divide the problem into two sections, the first being the probability of the first person having a license, and the second section is the probability that the second person doesn't have a license.

P1 = Probability of the first person having a license, there are 5 out of 8 person having a license, thus P1 = 5/8.

P2 = Probability of the second person having a license. There are 3 people not having a license, out of 8-1 = 7 persons available, since one is taken already from the first choice, therefore P2 = 3/7.

P1 and P2 are dependent events, thus P(1,2) = P1 * P2.

P(1,2) = P1 * P1 = 5/8 * 3/7 = 15/56

7 0

2 years ago

A luxury liner leaves a port on a bearing of 110 degrees and travels 8.8 miles. It then turns due west and travels 2.4 miles. Ho

myrzilka [38]

Answer:

Distance= 6.6 miles

Bearing= N 62.854°W

Step-by-step explanation:

Let's determine angle b first

Angle b=20° (alternate angles)

Using cosine rule

Let the distance between the liner and the port be x

X² =8.8²+2.4²-2(8.8)(2.4)cos20

X²= 77.44 + 5.76-(39.69)

X²= 43.51

X= √43.51

X= 6.596

X= 6.6 miles

Let's determine the angles within the triangle using sine rule

2.4/sin b = 6.6/sin20

(2.4*sin20)/6.6= sin b

0.1244 = sin b

7.146= b°

Angle c= 180-20-7.146

Angle c= 152.854°

For the bearing

110+7.146= 117.146

180-117.146= 62.854°

Bearing= N 62.854°W

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3 years ago

A runner runs 8 miles in 92 minutes. What is the runner’s unit rate?

SVETLANKA909090 [29]

Answer:

Step-by-step explanation yo candice just died today

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3 years ago