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3 years ago

Find the rate and unit rate:

Mathematics

2 answers:

Alenkinab [10]3 years ago

5 0

A: 24 miles per 1 gallon

ivolga24 [154]3 years ago

5 0

A . 24 miles per 1 gallon ..

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What is 3/14 minus 3/7 in simplest form

Alex_Xolod [135]

Step 1. Find the Least Common Denominator (LCD) of $\frac{3}{14} , \frac{3}{7}$

Method 1: By Listing MultiplesList out all multiples of each denominator, and find the first common one.

Multiples of 14 : 14,......

Multiples of 7 : 7, 14, ......

Therefore, the LCD is 14.

Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.

Prime Factors of 14 : 2, 7

Prime Factors of 7 : 7

Therefore, the LCD is $2*7=14$

LCD = 14

Step 2. Make the denominators the same as the LCD

 $\frac{3}{14} - \frac{3*2}{7*2}$

Step 3. Simplify. Denominators are now the same

$\frac{3}{14} - \frac{6}{14}$

Step 4. Join the denominators

$\frac{3-6}{14}$

Step 5. Simplify

 $- \frac{3}{14}$

Done!

Decimal Form If Needed: -0.214286

3 0

3 years ago

The comprehensive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. Find the probability that a ran

DanielleElmas [232]

Answer:

The probability that a random sample of n = 5 specimens will have a sample values that falls in the interval from 2499 psi to 2510 psi = P(2499 < x < 2510) = 0.192

Step-by-step explanation:

For the population,

μ = 2500 psi and σ = 50 psi

But for a sample of n = 5

μₓ = μ = 2500 psi

σₓ = σ/√n = (50/√5)

σₓ = 22.36 psi

So, probability that the value for the sample falls between 2499 psi to 2510 psi

P(2499 < x < 2510)

We normalize/standardize these values firstly,

The standardized score for any value is the value minus the mean then divided by the standard deviation.

For 2499 psi

z = (x - μ)/σ = (2499 - 2500)/22.36 = - 0.045

For 2510 psi

z = (x - μ)/σ = (2510 - 2500)/22.36 = 0.45

To determine the probability the value for the sample falls between 2499 psi to 2510 psi

P(2499 < x < 2510) = P(-0.045 < z < 0.45)

We'll use data from the normal probability table for these probabilities

P(2499 < x < 2510) = P(-0.045 < z < 0.45) = P(z < 0.45) - P(z < -0.045) = 0.674 - 0.482 = 0.192

8 0

4 years ago

3.PS-15

lianna [129]

Answer:

Step-by-step explanation:

3.PS-15

Challenge The members of the city cultural center have decided to put on a play once a night for a

week. Their auditorium holds 500 people. By selling tickets, the members would like to raise $2,350

every night to cover all expenses. Let d represent the number of adult tickets sold at $6.50. Lets

represent the number of student tickets sold at $3.50 each. If all 500 seats are filled for a

performance, how many of each type of ticket must have been sold for the members to raise exactly

$2,350? At one performance there were three times as many student tickets sold as adult tickets. If

there were 400 tickets sold at that performance, how much below the goal of $2,350 did ticket sales

fall?

The members sold

adult tickets and

student tickets.

3 0

2 years ago

What is the answer for (1, 1) and (1,9)

Bezzdna [24]

Answer:

9/0

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Help finding the missing length

gulaghasi [49]

Answer:

4x2-6x+6

Step-by-step explanation:

(9x2-2x) +(3x-5)+(m) =13x2-5x+1

(13x2-5x+1)-(9x2+x-5)=m

3 0

3 years ago