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3 years ago

7b-2/5 = 6b-7/5 Solve for b.

Mathematics

2 answers:

Lera25 [3.4K]3 years ago

4 0

Answer:

b = -1

Step-by-step explanation:

here's your solution

=> 7b - 2/5 = 6b - 7/5

=> 7b - 6b = -7/5 + 2/5

=> b = (-7+2)/5

=> b = -5/5

= b = -1

hope it helps

algol133 years ago

3 0

Answer:

b = -1

Step-by-step explanation: I put all the like terms together by moving 6b and -2/5, which then changed their signs to negative and positive, respectively.

7b-2/5 = 6b-7/5

7b-6b = 2/5-7/5

b = -1

I 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

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4 years ago

You have a trailer with the following dimensions. Height 125cm. Length 2.4m. Width 1.65m. How much cub sand will you be able to

atroni [7]

Answer:

18.75m³ of sand

Step-by-step explanation:

volume =lbh

h=125cm=1.25m

v=2.4*6.25*1.25

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7 0

3 years ago

Which phrase describes the variable expression z+ 8?

a_sh-v [17]

9514 1404 393

Answer:

A. z increased by 8

Step-by-step explanation:

When a positive value is added, the original value (z) is increased.

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3 years ago

What is the least common multiple of 15 and 8?

Arturiano [62]

O get the Least Common Multiple (LCM) of 15 and 8 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:

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3 years ago

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Find the measure of angle 1

Lubov Fominskaja [6]

In ∆FDH, there are two slash marks in two of its legs. This indicates that this triangle is isosceles. If a triangle is isosceles, then it will have two congruent sides and therefore have two congruent angles.

In ∆FDH, angle D is already given to us as the measure of 80°. We can find out the measure of the other angles of this triangle by using the equation:

80 + 2x = 180

Subtract 80 from both sides of the equation.

2x = 100

Divide both sides by 2.

x = 50

This means that angle F and angle H in ∆FDH both measure 50°.

Now, moving over to the next smaller triangle in the picture is ∆DHG. In this triangle, there are also two legs that are congruent which once again indicates that this triangle is isosceles.

First, we have to solve for angle DHG and we do that by using the information obtained from solving for the angles of the other triangle.

**In geometry, remember that two or more consecutive angles that form a line will always be supplementary; the angles add up to 180°.**

In this case angle DHF and angle DHG are consecutive angles which form a linear pair. So, we can use the equation:

Angle DHF + Angle DHG = 180°

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Now that we know the measure of one angle in ∆DHG, we can use the same method as the previous step for solving the missing angles. Use the equation:

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4 years ago

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