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GenaCL600 [577]
3 years ago
9

Solve the equation below. 3/2x - 2.2 = 2(0.7x - 1)

Mathematics
2 answers:
deff fn [24]3 years ago
5 0
3/2x-2.2=2(0.7x-1) convert the decimal into a fraction.
3/2x - 11/5 = 2(0.7 x - 1) distribute 2 through the parentheses.
3/2 x - 11/5 = 1.4 x - 2 convert the decimal into a fraction.
3/2 x - 11/5 = 7/5 x - 2 multiply both sides of the equation by 10.
15x - 22 = 14 x - 20 move the variable to the left-hand side and change its sign.
15x - 22 - 14 x = -20 move the constant to the right-hand side and change its sign.
15 x - 14x = -20 + 22 collect like terms.
x = -20 + 22 calculate the sum.
x = 2 solution.
jeyben [28]3 years ago
5 0

Answer:

x = 2

Step-by-step explanation:

3/2x - 2.2 = 2(0.7x - 1)

3/2x - 2.2 = 1.4x - 2

0.1x - 2.2 = -2

0.1x = 0.2

x = 2

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uysha [10]

Answer:

9 6/8, 9 3/4. 9.75

Step-by-step explanation:

1 1/4 would equal 10/8 if she has 10 7/8 then you'd take 7/8 out of 10/8 which would leave you with 2/8 left which you'd take out of the whole number 10 which would leave you with 9 6/8

simplified answer is 9 3/4

or: 9.75

5 0
4 years ago
Trying to find volume of a right circular cone.
viva [34]

Volume of the cone is 117.5 π ft³

<u>Step-by-step explanation:</u>

Lateral area of the cone = πrs

s is the slant height = 15 ft

From the above formula, we can find the radius as, 5 ft.

Volume of the cone = π r² h/3

s = √ (5²+ h²)

Squaring on both sides, we will get,

s² = 15² = (5² + h²)

 15² - 5² = h²

225 - 25 = 200 = h²

h = √200 = 14.1 ft

Volume = π × 5² × 14.1  / 3 = 117.5 π ft³

8 0
3 years ago
A drilling crew dug to a depth of 26 ½ feet during their first day of drilling. On the second day, the crew dug down 9½ feet mor
Neporo4naja [7]

The depth of the bottom of the hole after the second day is 36 feet using addition operation.

<h3>What is addition?</h3>

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the sum refers to the outcome of the operation.

Given the depth on the first day is 26 ½ feet.

Depth on the second day = 9½ feet more than on the first day i.e. 9½ feet + depth on the first day

This implies, depth on the second day = 9½ + 26 ½

= 36 feet

Therefore, the depth of the bottom of the hole after the second day is 36 feet.

To learn more about addition, visit:

brainly.com/question/25621604

#SPJ9

5 0
1 year ago
Verify the identity. 4 csc 2x = 2 csc2x tan x
vlada-n [284]

Step-by-step explanation:

4csc(2x) = 2csc^2(x) tan(x)

We start with Left hand side

We know that csc(x) = 1/ sin(x)

So csc(2x) is replaced by 1/sin(2x)

4 \frac{1}{sin(2x)}

Also we use identity

sin(2x) = 2 sin(x) cos(x)

4 \frac{1}{2sin(x)cos(x)}

4 divide by 2 is 2

Now we multiply top and bottom by sin(x) because we need tan(x) in our answer

2\frac{1*sin(x)}{sin(x)cos(x)*sin(x)}

2\frac{sin(x)}{sin^2(x)cos(x)}

2\frac{1}{sin^2(x)} \frac{sin(x)}{cos(x)}

We know that sinx/ cosx = tan(x)

Also  1/ sin(x)= csc(x)

so it becomes 2csc^2(x) tan(x) , Right hand side

Hence verified



6 0
3 years ago
Math I need help I'm trying to pass 6th<br><img src="https://tex.z-dn.net/?f=-6%20%2B%20%28-1%29%20%2B%20%28-4%29%20%3D" id="Tex
vlabodo [156]

Answer:

-11

Step-by-step explanation:

-6+(-1)+(-4)=-11

I hope this helps, I also think this is the answer!.

7 0
3 years ago
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