1/8 (3d-2) = 1/4 (d+5)

Answers

Answer 1
Answer:

The value of d is 12 of the given equation.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 12×2 = 24

Given that the equation as:

⇒ 1/8 (3d - 2) = 1/4 (d + 5)

Open the parentheses and apply the multiplication property

⇒ 1/8 × 3d - 1/8 × 2 = 1/4 × d + 1/4 × 5

⇒ (3/8)d - 1/4 = (1/4)d + 5/4

Rearrange the terms of likewise and apply the arithmetic operations,

⇒ (3/8)d -  (1/4)d = 1/4 + 5/4

Multiply by 8 both sides of the equation,

⇒ 3d -  2d = 2 + 10

⇒ d = 12

Therefore, the value of d is 12 of the given equation.

Learn more about the equation here:

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Answer 2
Answer: OK, so for this equation, your goal is to get the d, and ONLY the d, on one side of the equation. So, to start out, you need to multiply the entire equation, meaning both sides, by 8 because we are trying to get rid of those pesky fractions.
8(1/8(3d-2)=1/4(d+5))
The equation then turns into this because the 8 and 4 cancelled out with the 8.
1(3d-2)=2(d+5)
Now, we need to distribute the left over numbers into the parenthesis.
3d-2=2d+10
And finally, we need to get the d's on one side, and the numbers on the other, so we subtract 2d from both sides and add the 2 to both sides. They then cancel out to make
d=12
Hope it helps!  :)

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Write a number that is the same when rounded to the nearest hundred and ten

Answers

A number when you round to the nearest hundred and tens is the is is the number 200

Mike measured the volume of liquids in his science experiment. Sample A had a volume of 4.828 liters. Sample B had a volume of 0.17 liters. The volume of Sample A is how many times the volume of Sample B?

Answers

Answer: 28.4

Step-by-step explanation:

Given : Mike measured the volume of liquids in his science experiment. Sample A had a volume of 4.828 liters. Sample B had a volume of 0.17 liters.

Then, the number of times volume of Sample A is greater than  the volume of Sample B is given by :-

\frac{\text{Volume of Sample A}}{\text{volume of Sample B}}\n\n=(4.828)/(0.17)\n\n =28.4

Hence, the volume of Sample A is 28.4 times the volume of Sample B.

you have to divide 4.828 and .17 and you will get 28.4 

How do I solve this problem 7 2/3 + n = 9 1/12

Answers

7 2/3+n=9 1/12
3•4=12
2•4=8
7 8/12+n = 9 1/12( these fractions have common denominators)
switch the operation (+ to -) and get the fraction by themselves
8/12-1/12=7/12
now subtract the whole numbers
9-7=2
finally answer 2 7/12

A giant bamboo plant grew an average of 18 centimeters per year.The botanist started measuring the plant when it was 5 centimeters tall. If "Y" represents the number of years the botanist has measured the plant,what expression represents its height?Solve,and show each step.

Answers

h=height
y=number of years.

we have the next expresion:
h(y)=my+b  

m=the slope of the line, in this case, the slope is equal to "18"; (18 cm/ year).
b=the initial heigth, in this case, the initial heigth is equal to "5" (5 cm).

Therefore, our  expression will be:
h(y)=18y +5

answer: h(y)=18y+5


Consider a rectangle with vertices A (4, 7), B (6, 7), C (4, -1), and D (6, -1). What is the length of side CD? What is the length of side BD?

Answers

Answer:

CD=2\n\nBD=8

Step-by-step explanation:

A (4, 7), B (6, 7), C (4, -1), and D (6, -1)

Using Distance formula:

CD:

              √((6-4)^2+(-1-(-1))^2) \n\n=√((6-4)^2+(-1+1)^2) \n\n=√(2^2+0)\n\n=√(4)\n\n =2

BD:

          √((6-6)^2+(-1-7)^2) \n\n=√(0+(-8)^2)\n\n=√(64) \n\n=8

CD=2\n\nBD=8

Same way can find BD length

62% of what number is 186

Answers

Answer: 62% of 300 is 186

Step-by-step explanation:

62% of x = 186

62/100 x = 186

0.62x=186

×=300

Answer:

300

Step-by-step explanation:

Let the number be X

62/100 × X = 186

X = 186 × 100/62

X = 300