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1 year ago

Add 5x+4y;3x-7y;-4x+8y

Mathematics

1 answer:

viktelen [127]1 year ago

4 0

The answer is 4x + 5y.

Here, what needs to be done is to combine like terms.

5x + 4y + 3x - 7y - 4x + 8y
5x + 3x - 4x + 4y + 8y - 7y
4x + 5y

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Mr. Wilson invested money in two accounts. His total investment was $20,000. If one account pays 5% in interest and the other pa

blagie [28]

a = amount invested at 5%

b = amount invested at 2%

now, we know the total invested by Mr Wilson was 20000, so whatever "a" and "b" might be, we know that a + b = 20000.

$a + b = 20000\implies b = 20000-a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{5\% of a}}{\left( \cfrac{5}{100} \right)a}\implies 0.05a~\hfill \stackrel{\textit{2\% of b}}{\left( \cfrac{2}{100} \right)a}\implies \begin{array}{llll} 0.02b\\\\ \stackrel{substituting}{0.02(20000-a)} \end{array}$

now, we know the total of earned interest is 550 bucks, so then

$0.05a~~ + ~~0.02(20000-a)~~ = ~~550\implies 0.05a+400-0.02a=550 \\\\\\ 0.03a+400=550\implies 0.03a=150\implies a=\cfrac{150}{0.03}\implies a=5000 \\\\\\ ~\hspace{24em}\stackrel{20000~~ - ~~5000}{b=15000}$

5 0

1 year ago

What is 7/10 - 2/10 reduced ?

Scorpion4ik [409]

Answer:

1/2

Step-by-step explanation:

7/10 - 2/10 = 5/10

5/10 simplifies to 1/2 by dividing numerator and denominator by 5.

7 0

3 years ago

Read 2 more answers

Write the sentence as an equation, using x as the variable. Then find the solution of the equation from the set of integers bet

Inessa05 [86]

Answer:

The solution of given equation is x = -4

Step-by-step explanation:

We are given the following in the question:

Let x be the variable such that

$x \in (-12,12)$

Relation:

The quotient of a number and 4 is negative 1

We can write the equation as:

$\dfrac{x}{4} = -1$

Solution:

$\dfrac{x}{4} = -1\\\\\Rightarrow x = 4\times -1\\\Rightarrow x = -4$

Thus, the solution of given equation is x = -4

4 0

3 years ago

Here is a set of data:1300, 18, 25, 19, -7, 24. which observation is the outlier

devlian [24]

An outlier is a point which falls more that 1.5 times the interquartile range above the thrid quartile or below the first quartile. It is basically the point which is abnormally off the limit within which other points are within. Given our data points:
1300, 18,25,18,-7,24
compared to the rest of the points, 1300 is quite of the limit. Thus;
Answer: 1300

8 0

3 years ago

1. Find the slope of the line graphed below.

Olegator [25]

Answer:

$m=\frac{1}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-2, 0)

Point (0, 1)

Step 2: Find slope m

Substitute: $m=\frac{1-0}{0+2}$
Subtract/Add: $m=\frac{1}{2}$

6 0

2 years ago

Add 5x+4y;3x-7y;-4x+8y​

Add 5x+4y;3x-7y;-4x+8y