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3 years ago

Solve 3b - 8 = 7b - 2 -4b

Mathematics

1 answer:

lutik1710 [3]3 years ago

6 0

Answer:

Step-by-step explanation:

Start by combing the terms on the right. 3b - 8 = 3b - 2 because 7b - 4b is going to equal 3b

You are now officially stuck. The moment you try and put the 3b's on the same side of the equation, they will cancel out. There is no unique solution.

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1) A line with gradient 2 passes through (0, 4). Write down the equation of the line.

blondinia [14]

For the attached image, note that slope is the same thing as gradient.

1) y = 2x + 4

2) Substituting in x = 1 and y = 1,

1 = 4(1) + c

1 = 4 + c

c = -3

So, the equation is y = 4x - 3

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2 years ago

Write an equation of the line that passes through the point (1,3) and has a slope of -2

jek_recluse [69]

Answer:

y= -2x+1

Step-by-step explanation:

y=mx+b

y= -2x +b

3= -2(1) +b

3= -2 +b

b=1

y= -2x+1

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3 years ago

Larry wants to enlarge a cube with edges of 3cm so that it's volume will be 8 times larger. How long must each edge of the enlar

Monica [59]

The answer is 6 inches, 3*3*3 equals 27, the current volume of the cube, 27*8 equals 216, the new volume, 6*6*6 equals 216, so the side lengths equal 6 inches.

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4 years ago

1. A student took 60 minutes to answer a combination of 20 multiple-choice and extended-response questions. She took 2 minutes t

Darina [25.2K]

Answer:

1) m=15 and r =5

2) 4 and 2 ml

3) x= 0.5 and y = -1

Step-by-step explanation:

given that m multiple choice questions and r extended response questions.

Also given that a) m+r = total no of questions =20 ... i and

2m+6r = total time taken = 60 ... ii

b) Divide second equation by 2, m+3r = 30 ... iii

m+r = 20 ... i

Subtract to get 2r =10 or r =5

m = 20-5 = 15

Verify: m+r = 15+5 =20

and 2m+6r = 30+30 = 60 minutes.

Hence verified

--------------------------------------

2) Let a litres of 20% solution and b litres of 50% solution be mixed

a) Then total volume = 6 ml = a+b ... i

Resulting solution = 30% of 6 ml = 1.8 = 0.2a+0.5b ... ii

b) Solve i and ii

b = 6-a: substitute in ii.

0.2a + 3-0.5a = 1.8

Or a = 4 ml and b = 2ml

Verify: Total volume = a+b =6ml and

concentration = 0.2(4)+0.5(2) = 1.8 = 30% of 6 ml.

Thus verified

---------------------------------

3) 2x-3y=4 ...i

2x-5y =6... ii

Because x term has the same coefficient in both the equations, elimination is easier.

i-ii gives 2y =-2 or y =-1

Substitute in i, 2x+3 =4 or x = 0.5

So answer is x = 0.5 and y =1

6 0

3 years ago

Which inequality represents the sentence below? The difference of a number and one and four tenths is more than nine and seventy

Marianna [84]

The inequality represents the sentence below is that the p minus 1. 4 greater-than 9.

<h3>What is the inequality equation?</h3>

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.

Before solving it, first let's discuss the tenth and hundredths,

Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.
Hundredths is written as the fractional part of the number 100. The value of one hundredth is equal to 1/100 or 0.01.

Here, the sentence given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.

One and four tenths can be written as,

$1\dfrac{4}{10}$

Nine and seventy-eight hundredths can be written as,

$9\dfrac{78}{100}$

Let suppose the number is p. This difference of this number and one four tenths is more than nine and seventy-eight hundredths. Thus,

$p-1\dfrac{4}{10} > 9\dfrac{78}{100}\\p-\dfrac{14}{10} > \dfrac{978}{100}\\p-1.4 > 9.78\\$

Hence, the inequality represents the sentence below is that the p minus 1. 4 greater-than 9.

Learn more about the inequality equation here:

brainly.com/question/17724536

3 0

2 years ago