Eight times the sum of a number and 2 equals 3.​

Answer: Green route = 5.8 miles

Blue route = 5.4 miles.

Step-by-step explanation:

Let the miles travelled for Green route be x

Let the miles travelled for Blue route be y

We can form an equation from the question given which will be:

8x + 9y = 95 ........ i

12x + 6y = 102 ......... ii

Multiply equation i by 12

Multiply equation ii by 8

96x + 108y = 1140 ....... iii

96x + 48y = 816 ....... iv

Subtract iv from iii

60y = 324

y = 324/60 = 5.4

Blue route is 5.4 miles.

Since 8x + 9y = 95

= 8x + 9(5.4) = 95

8x + 48.6 = 95

8x = 95 - 48.6

8x = 46.4

x = 46.4/8 = 5.8

Green route = 5.8 miles

Answer:

133.33

Step-by-step explanation:

In 133.33 years, the principal amount of $500 at the rate of 1.5% per year will triple.

Simple interest is an interest which is only based on principal amount, it does not imply on yearly interest.

Given that,

The principal amount put in the bank p= $500

The rate of simple interest r= 1.5 %

Amount will be triple, implies that, Interest would be two times of principal.

Interest = 2 x 500 = 1000

To find the time t, when amount gets triple, use simple interest formula

Interest = (p x r x t)/100

1000 = (500 x 1.5 x t)/100

200/1.5 = t

133.33 = t

The required time in which the money will triple is 133.33 years.

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Answer:

54,436.004 and 247,892.984

Step-by-step explanation:

Answer:

third and fourth

Step-by-step explanation:

Answer:

x=30

(Option 2)

Step-by-step explanation:

Well if the <1+<2=180 then you can put the equation as 4x+10+x+20=180. We can simplify that to be 5x+30=180. Minus 30 from both sides: 5x=150; x=30

Answer:

The numbers that meet these conditions are -3, -2 and -1.

This means that the wording of the question is somewhat ambiguous:

The lowest of the three numbers is -3.

The smallest however is -1.

You may need clarification on which of those is being asked for.

Step-by-step explanation:

Let's call those numbers a, b and c, with a the smallest and c the largest. We're told two key things here:

1) The sum of the smaller two integers is two more than seven times the largest integer.  In other words a + b = 7c + 2

2) We're looking for three consecutive integers, which means that we can define them with a single variable.  If the smallest one is a, then the others are a + 1 and a + 2.

We can take those and put them together, giving us the equation:

a + (a + 1) =  7(a + 2) + 2

Which we can then solve for a:

a + (a + 1) =  7(a + 2) + 2

2a + 1 = 7a + 14 + 2

2a - 7a = 14 + 2 - 1

-5a = 15

a = -3

Since a is -3 and also the smallest, we can then say that the numbers are -3, -2 and -1.

Answer:

0.48

Step-by-step explanation:

Answer:

Isnt it where you write it in the easiest way to understand it? sorry if its wrong :/

Step-by-step explanation:

If you mean standard from in math  it is basically writing down a smaller number instead of a larger one. For example 10 x 10 x 10, you could just write 10*3.  

Answer:

can you make the graph bigger please?

Answer:

HARAMBE KNOWS THE ANSWER!!!!!!!!!!!!!!1111Write an essay of at least 250 words that summarizes the main points of the essay by Langston Hughes. Use the information you gathered from your literary analysis to help with your summary. Be sure to create an outline and structure your essay with a thesis statement and supporting details..

Step-by-step explanation:

Answer:

Jakob did not make any mistake

Option d is correct

Step-by-step explanation:

Jakob's work is shown below. Steps Jakob's Work

Step 1

3t = $18.75

Step 2

3t/3 = $18.75/3

Step 3

t = $6.25

Looking at the above calculation, Jakob did not make any mistake. Option d is correct

Answer:

The Answer is option D

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Velocity :D

Step-by-step explanation:

Answer:

velocity

Step-by-step explanation:

hope this helps! can i get brainliest?

Answer:

3/4

Step-by-step explanation:

THE fraction of these items are either multiple choice or short answer would be the sum of the fractions of the multiple choice and short answer

4/12 + 5 / 12 = 9/12

to simplify , divide both numerator and denominator by 3

3/4

Answer: the answer would be 55 but since its says to round to the nearest hundred this would be 50 because its the closest and both lines are equivalent to be the same. plz brainliest plz

Step-by-step explanation:

Answer:

18 students is the amount that passed the test

so the fraction would be 18/24, which can be simplified to 3/4, which is 75% of the class.

75% of the class passed

0.75% of the class passed

Answer:

75%

Step-by-step explanation:

24 x 0.75 (75% as a decimal) = 18

Answer:

y=-1/2x+3.5

Step-by-step explanation:

Step-by-step explanation:

-3(x - 4) + x(2x + 3)

= (-3x + 12) + (2x² + 3x)

= 2x² + 12

= 2(x² + 6).

Answer:

[tex] - 3(x - 4) + x (2x + 3) \\ = - 3x + 12 + 2 {x}^{2} + 3x \\ = 2 {x}^{2} + 12 \\ = 2( {x}^{2} + 6)[/tex]

2(x^2+6) is the right answer.

Answer:

x=8, y=25. As a point it's (8,25)

Step-by-step explanation:

here is the system:

y=x+17

y=3x+1

notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)

so it'll be:

3x+1=x+17

subtract 1 from both sides

3x=x+16

subtract x from both sides

2x=16

divide by 2

x=8

now, substitute 8 as x into one of the equations and solve for y

let's take the first one for example

y=8+17

y=25

so the answer is x=8, y=25. As a point it's (8,25)

Hope this helps!

Answer:

RULE 1: The product of a positive integer and a negative integer is negative. RULE 2: The product of two positive integers is positive.

RULE 3: The product of two negative integers is positive.

Step-by-step explanation:

Answer:

slope=7/8

Step-by-step explanation:

8-1/10-2= 7/8

3x = 11 -2

3x = 9

x = 3

just make X the subject of the formula and you will get to ur final answer. Easy.

Answer:

x=3

Step-by-step explanation:

3x+2=11 minus 2 on both sides

3x=9

divide both sides by 3

x=3

Answer:

x=8

Step-by-step explanation:

2x+7 = 23

2x=16

x=8

Answer:

42.875

Step-by-step explanation:

First you find the x-intercepts and the vertex of the equation.

(-5, 0), (-2, 0), (-3/2, 49/4)

You use those coordinates to find the sides of the triangle and then you use the lengths to find the semiperimeter.

Lastly, you use Heron's formula to compute the area.

The area of the triangle is required.

The area of the triangle is [tex]42.875\ \text{units}^2[/tex]

[tex]y=-x^2-3x+10[/tex]

The x intercepts are

[tex]-x^2-3x+10=0\\\Rightarrow x=\dfrac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\left(-1\right)\times 10}}{2\left(-1\right)}\\\Rightarrow x=-5,2[/tex]

The x intercepts are

[tex](-5,0),(2,0)[/tex]

Distance between them is

[tex]2-(-5)=7\ \text{units}[/tex]

Vertex of a parabola is given by

[tex]x=-\dfrac{b}{2a}\\ =-\dfrac{-3}{2\times -1}\\ =-1.5[/tex]

[tex]y=-(-1.5)^2-3(-1.5)+10=12.25[/tex]

So,

Base = b = 7 units

Height = h = 12.25 units

Area is

[tex]A=\dfrac{1}{2}bh\\\Rightarrow A=\dfrac{1}{2}\times 7\times 12.25\\\Rightarrow A=42.875\ \text{units}^2[/tex]

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