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polet [3.4K]
3 years ago
10

Simplify the following expression (30/45g+20)-(8/9g+7)

Mathematics
1 answer:
amid [387]3 years ago
8 0

The answer is: 13-\frac{2}{9}g

The explanation is shown below:

1- You have the following expression given in the exercise:

(\frac{30}{45}g+20)-(\frac{8}{9}g+7)

2- When you multiply signs, you obtain:

\frac{30}{45}g+20-\frac{8}{9}g-7

3. Now, you must add like terms, as following:

-\frac{2}{9}g+13

4. Therefore, you have that the expression simplified is:

13-\frac{2}{9}g

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A package of dental floss has 175 m of floss. Dr.Pierre bought 150 packages to give to his patients. How many metres of dental f
grandymaker [24]

The total length of the dental floss in 150 packages will be 26250 meters.

<u><em>Explanation</em></u>

A package of dental floss has 175 m of floss.

Suppose, the number of meters of dental floss in 150 packages is  x

So, the equation according to the <u>ratio of "number of packages" to "dental floss"</u> will be.....

\frac{1}{175}=\frac{150}{x}\\ \\ x= 175*150=26250

So, the total length of the dental floss in 150 packages will be 26250 meters.

3 0
4 years ago
Given the right triangle shown below, prove cos2(θ) + sin2(θ) = 1.
wel

Answer:

-definition of cosine

-definition of sine

-Pythagorean Theorem

-Substitution

-laws of exponents

Step-by-step explanation:

3 0
3 years ago
(Write an equation that represents the angle relationships in the diagram below. Do not use any spaces or degree symbols when yo
yaroslaw [1]
3x+132=180 is your equation
7 0
3 years ago
Read 2 more answers
Is there anyone who help me in my math work
Alexeev081 [22]

Answer:

LCM=72

Step-by-step explanation:

l.c.m by prime factorization

a)18,24

factor of 18=2*3*3

factor of 24=2*2*2*3

common and remaining factor=2*3*3*2*2= 72

3 0
2 years ago
The total of two numbers is 28. Four times the smaller number is 7 more than three times the larger number.
navik [9.2K]
Let's define:
x \ \textless \ y

So, you can set up a system of equations:
x + y = 28
4x = 7 + 3y

Now, to solve for both of those values, solve the system of equations:
x = 28 - y
4(28-y) = 7+3y
122-4y=7+3y
115 -4y = 3y
115 = 7y
y = 16.43

Now, plug that y-value into the first equation to solve for x:
x + 16.43=28
x = 11.57

Now, we have both the values. The smaller value (x) = 11.57 and the bigger value (y) = 16.43.
3 0
3 years ago
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