MATHEMATICS HIGH SCHOOL

Solve the equation. –3x + 1 + 10x = x + 4

Answers

Answer 1
Answer:

Answer:

x = 1/2 = 0.5

Step-by-step explanation:

We must solve x in the following equation:

–3x + 1 + 10x = x + 4

We'll try to get the terms with x on the left and the independent terms on the right by performing the opposite operations on both sides of the equation:

–3x + 1 + 10x -x = x + 4 -x

–3x + 1 + 10x -x  -1 = 4 -1

6x = 3

Now lets isolate x, again by performing the opposite operation, that is dividing by 6 on both sides:

6x /6 = 3/6

x = 1/2 = 0.5
Answer 2
Answer: 10x-3x= 8x

8x + 1 = x + 4

subtract x in both side

7x + 1 = 4

subtract 1 on both side

7x = 3

divide 7 on both side 

x = 3/7 

or 

.43 in decimal

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On a map, 1/4 inch represents 12 miles. If a road is 66 miles long, what is its length, in inches, on the map?

Answers

(1)/(4)\ in\ on\ the\ map \ \rightarrow\ \ 12\ miles\n \nx\ \rightarrow\ 66\ miles\n \n12\cdot x= (1)/(4)\cdot 66\ /:12\n \n x= (33)/(2) \cdot (1)/(12) \n \nx= (3\cdot11)/(2\cdot3\cdot4) \n \nx= (11)/(8) \ [in]\n \nx=1.75\ [in]
it'll be 1(5)/(6) inches on the map

since 12 miles is a quarter of an inch, we need to see how much it will be for 66 miles. we divide 66 by 12, which gives us 5(1)/(2)

we multiply that by (1)/(4), which gives us thusly 1(5)/(6) of an inch = 66 miles.

Find the equation of the line that passes through the point (7,5) and is perpendicular to the line 2x - 3y=6

Answers

(7,5);\ \ \ \ 2x - 3y=6 \ \ / subtract \ 2x \ from \ each \ side \n \n-3y = -2x + 6\ \ / divide \ each \term \ by \ (-3) \n \n y = \frac{2} {3}x -2\n \n The \ slope \ is :m _(1) = ( 2)/(3) \n \n If \ m_(1) \ and \ m _(2) \ are \ the \ gradients \ of \ two \ perpendicular \n \n lines \ we \ have \n\n\ m _(1)*m _(2) = -1

(2)/(3)\cdot m_(2)=-1\ \ / \cdot ((3)/(2))\n\nm_(2)=-(3)/(2)\n\nNow \ your \ equation \ of \ line \ passing \ through \ (7,5) would \ be: \n \n y=m_(2)x+b \n \n5=-(3)/(2)\cdot 7 + b \n \n 5= -(21)/(2)+b\n \nb=5+(21)/(2) \n \nb= (10)/(2)+(21)/(2)\n \nb= (31)/(2)\n\nb=15.5 \n \n y = -(3)/(2)x +15.5

Find the simple interest paid

$4500, 9%, 3.5 years ​

Answers

Step-by-step explanation:

Principle (P) =$4500

Rate(R) =9%

Time(T)=3.5yrs

We know,

SI=P×T×R/100

=4500×3.5×9/100

=$1417.5

Find the unit rate:

$2 for 5 cans of dog food

Answers

.40$/1 is the answer to your question
.40 per can
2/5 = .4

A car rents for $45.00 per day plus 21 cents per mile. You are on a daily budget of $66.00 per day. What mileage will allow you to stay within your budget?

Answers

45+.21m is less than or equal to 66
-45 from both sides

.21m is less than or equal to 21
/.21 from both sides

m is less than or equal to 1000

you can go no more than 1,000 miles.

Which of the following are true? Group of answer choices a.As long as the function is defined anywhere in your program,
b.it can be used anywhere else.
c.A function can call another function.

Answers

Answer:

c. A function can call another function

Step-by-step explanation:

A function can call function inside its body ( the function can be itself as well as another function)

In case, function calls itself in its body, is termed as "Recursion".
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