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3 years ago

WhT is the answer to -8(-4f-9)

Mathematics

2 answers:

Ne4ueva [31]3 years ago

7 0

Answer:

32f+72

Step-by-step explanation:

Distribute the -8

m_a_m_a [10]3 years ago

3 0

Answer:

32f + 72

Step-by-step explanation:

-8(-4f-9)

Distribute

(-8)(-4f) + (-8)(-9)

Multiply

32f + 72

Hope this helps :)

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EMERGENCY!!! OK SO I need help on 4 questions! Lots of points for this :) Also please make sure it's correct cause this is for a

Shalnov [3]

Question # 1 Solution

Answer:

32≤x≤48 is the best estimate for the amount of money, x, that Erika has to pay to get to her destination. Hence, option D is correct.

Step-by-step Explanation:

Information Fetching and Solution Steps

Erika estimates that she is 200 to 300 miles away from her destination
Car travels 25 miles per gallon of gas
Cost of each gallon being $4.00

As Erika estimates that she is 200 to 300 miles away from her destination, and car travels 25 miles per gallon of gas. So,

First dividing 200 by 25 to get the number of gallons a car needed to make 200 miles

i.e 200/25 = 8 gallons.

As cost of each gallon being $4.00.

So, 8 × 4 = 32$ is the amount she needed to make 200 miles.

Then dividing 300 by 25 to get the number of gallons a car needed to make 300 miles

i.e 300/25 = 12 gallons.

As cost of each gallon being $4.00.

So, 12 × 4 = 48$ is the amount she needed to make 300 miles.

From the above calculation, we observe that 32$ and 48$ is the best estimate between 200 miles and 300 miles.

Therefore, 32≤x≤48 is the best estimate for the amount of money, x, that Erika has to pay to get to her destination. Hence, option D is correct.

Question # 2 Solution

Answer:

Consultant B offers the cheapest price for a five hour session.

Hence, B. Consultant B is the correct option.

Step-by-step Explanation:

Analyzing the offer price of Consultant A, B and C for a Five hour session:

Consultant A chargers $160 for the first hour

$75 per hour after the first.

So, for five hour session, Consultant A is offering the price:

$160 + $75 + $75 + $75 + $75 = $460

Consultant B chargers a flat rate of $90 per hour

So, for five hour session, Consultant B is offering the price:

$90 + $90 + $90 + $90 + $90 = 450 US$

Consultant C chargers $140 for the first hour

$80 per hour after the first.

So, for five hour session, Consultant C is offering the price:

$140 + $80 + $80 + $80 + $80 = $460

Comparing the price offers of Consultant A, B and C

So, by comparing the price offers of Consultant A, B and C, we determine that:

Consultant A is offering the price $460 for five hour session.
Consultant B is offering the price $450 for five hour session.
Consultant C is offering the price $460 for five hour session.

So, from this comparison, we conclude that Consultant B offers the cheapest price for a five hour session.

Hence, B. Consultant B is the correct option.

Question # 3 Solution

Answer:

They spent 4 nights at the hotel. Hence, option B is correct. 

Step-by-step Explanation:

To determine: 

how many nights did they stay at the hotel?

Information Fetching and Solution Steps

A hotel chargers $225 per night to rent a suite.
The hotel also charges $75 per day for full room service.
Jessica and Ashely purchased full room service for every night.
They stayed at the hotel and spent a total of $1,200

As the total amount they spent = $1,200

As $75 is the service charges as Jessica and Ashely purchased full room service for every night.

Per night charges = hotel chargers + service charges

Per night charges = $225 + $75 ⇒ $300

So, total nights will be calculated as:

Total nights = total amount they spent ÷ Per night charges

Total nights = $1,200 ÷ $300 ⇒ 4 nights

Therefore, they spent 4 nights at the hotel. Hence, option B is correct. 

Question # 4 Solution

Answer:

Hence, |h − 57.5| ≤ 7.5 is the absolute values which best represents this restriction, where ( h ) represents height. Hence, option A is correct. 

Information Fetching and Solution Steps

A certain ride at an amusement park requires that children be at least 50 inches tall but no more that 65 inches tall.

Let us take the equation of following absolute value:

|h − 57.5| ≤ 7.5

We know h − 57.5 ≤ and h − 57.5 ≥ −50

h − 57.5 ≤ 7.5 (Condition 1)

h − 57.5 + 57.5 ≤ 7.5 + 57.5 (Add 57.5 to both sides)

h ≤ 65

h − 57.5 ≥ −7.5 (Condition 2)

h − 57.5 + 57.5 ≥ −7.5 + 57.5 (Add 57.5 to both sides)

h ≥ 50

So, h ≤ 65 and h ≥ 50

Solution Graph is also attached as shown in attached figure a.

Hence, |h − 57.5| ≤ 7.5 is the absolute values which best represents this restriction, where ( h ) represents height. Hence, option A is correct.

Using same methodology we observe that all other options B, C, and D brings wrong values which is as follows:

|h+7.5|≤65 brings h≤57.5 and h≥−72.5
|h+50|≤65 brings h≤15 and h≥−115
|h+65|≤50 brings h≤−15 and h≥−115

Hence, from all discussion, we conclude that |h − 57.5| ≤ 7.5 is the absolute values which best represents this restriction, where ( h ) represents height, as it brings h ≤ 65 and h ≥ 50. Hence, option A is correct.

Keywords: inequality, graph solution, absolute value

Learn more about inequality from brainly.com/question/11315582

Learn more about absolute value from brainly.com/question/2155076

#learnwithBrainly

4 0

3 years ago

A display case of hat pins are marked 5 for $3. If Patty has $21, how many hat pins can Patty get? (assume no other taxes and fe

Nonamiya [84]

Answer: 35

Explanation: If patty has $21, and $3 is the price for 5 hat pins, then: 21/3=7, so she can buy 7 packages which cost $3 and contain 5 pins, and because the question asked the number of pins, we will multiply 7 • 5 and that equals 35

4 0

2 years ago

A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from s

quester [9]

Answer:

a) $P=1-\frac{\lambda}{\mu}=1-\frac{20}{30}=0.33$ and that represent the 33%

b) $p_x =\frac{\lambda}{\mu}=\frac{20}{30}=0.66$

c) $L_s =\frac{20}{30-20}=\frac{20}{10}=2 people$

d) $L_q =\frac{20^2}{30(30-20)}=1.333 people$

e) $W_s =\frac{1}{\lambda -\mu}=\frac{1}{30-20}=0.1hours$

f) $W_q =\frac{\lambda}{\mu(\mu -\lambda)}=\frac{20}{30(30-20)}=0.0667 hours$

Step-by-step explanation:

Notation

P represent the probability that the employee is idle

$p_x$ represent the probability that the employee is busy

$L_s$ represent the average number of people receiving and waiting to receive some information

$L_q$ represent the average number of people waiting in line to get some information

$W_s$ represent the average time a person seeking information spends in the system

$W_q$ represent the expected time a person spends just waiting in line to have a question answered

This an special case of Single channel model

Single Channel Queuing Model. "That division of service channels happen in regards to number of servers that are present at each of the queues that are formed. Poisson distribution determines the number of arrivals on a per unit time basis, where mean arrival rate is denoted by λ".

Part a

Find the probability that the employee is idle

The probability on this case is given by:

In order to find the mean we can do this:

$\mu = \frac{1question}{2minutes}\frac{60minutes}{1hr}=\frac{30 question}{hr}$

And in order to find the probability we can do this:

$P=1-\frac{\lambda}{\mu}=1-\frac{20}{30}=0.33$ and that represent the 33%

Part b

Find the proportion of the time that the employee is busy

This proportion is given by:

$p_x =\frac{\lambda}{\mu}=\frac{20}{30}=0.66$

Part c

Find the average number of people receiving and waiting to receive some information

In order to find this average we can use this formula:

$L_s= \frac{\lambda}{\lambda -\mu}$

And replacing we got:

$L_s =\frac{20}{30-20}=\frac{20}{10}=2 people$

Part d

Find the average number of people waiting in line to get some information.

For the number of people wiating we can us ethe following formula"

$L_q =\frac{\lambda^2}{\mu(\mu-\lambda)}$

And replacing we got this:

$L_q =\frac{20^2}{30(30-20)}=1.333 people$

Part e

Find the average time a person seeking information spends in the system

For this average we can use the following formula:

$W_s =\frac{1}{\lambda -\mu}=\frac{1}{30-20}=0.1hours$

Part f

Find the expected time a person spends just waiting in line to have a question answered (time in the queue).

For this case the waiting time to answer a question we can use this formula:

$W_q =\frac{\lambda}{\mu(\mu -\lambda)}=\frac{20}{30(30-20)}=0.0667 hours$

6 0

2 years ago

Read 2 more answers

Plz help me well mark brainliest if correct....??

oee [108]

Answer:

Table B

Step-by-step explanation:

6 0

3 years ago

I need some help please

Anvisha [2.4K]

Answer:

10x - 5

Step-by-step explanation:

Perimeter is found by adding up all the side lengths.

(2x-4) + (5x+6) + (3x-7) = 10x - 5

5 0

2 years ago