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Sliva [168]
3 years ago
15

The sum of three numbers is 69. The second number is 6 less than the first. The third number is 3 times the first. What are the

numbers?
Mathematics
1 answer:
almond37 [142]3 years ago
7 0

Answer and Step-by-step explanation:

To solve, we would set the first number to x, and make an equation.

<u>Solve for x.</u>

x + (x - 6) + 3x = 69.

<u>Add and combine like terms.</u>

2x + 3x - 6 = 69

5x - 6 = 69

<u>Add 6 to each side of the equation.</u>

5x = 75

Divide by 5 to both sides.

x = 15

<u>The first number is 15.</u>

<u>The second number is (x - 6) = (15 - 6) = 9.</u>

<u>The third number is 3x = 3(15) = 45.</u>

<u />

<u />

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

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Please help and show work!
sp2606 [1]

Answer:

x=50

Step-by-step explanation:

Because these angles are vertical, they are equal. Let’s find x.

3x+12=162

3x=150

x=50

So, x=50.

8 0
3 years ago
The value of an explanatory variable is 5, while the corresponding value of the response variable is 15. What would be the coord
vampirchik [111]

An explanatory variable is a type of independent variable. A response variable is a type of dependent variable. An explanatory variable is used to predict or explain differences in the response variable.

The first coordinate corresponds to independent variable and the second coordinate corresponds to dependent variable.

Since independent variable takes value 5 and dependent variable takes value 15, then the point (5,15) would be the  point when plotted on a scatterplot.

Answer: correct choice D

3 0
3 years ago
Read 2 more answers
(5+2 i)(4-3i) - (5-2yi)(4-3i) in a + bi form, where y is a real number.
ElenaW [278]
<span>(5+2 i)(4-3i) - (5-2yi)(4-3i)

Factorize out (4 -3i)

(4 -3i)( (5 +2i) - (5 -2yi) )

=  </span><span><span>(4 -3i)(5 +2i - 5 + 2yi)</span>

=  </span><span><span>(4 -3i)(5 - 5 + 2i + 2yi)</span>

= (4 -3i)(2i + 2yi)

= (4 - 3i)(2 + 2y)i.    Let's multiply the first two.
</span>
(4 - 3i)(2 + 2y) = 2*(4 -3i) + 2y*(4 - 3i)           
                      =  8 - 6i + 8y - 6yi
                      =  8 + 8y - 6i - 6yi

(4 - 3i)(2 + 2y)i = (8 + 8y - 6i - 6yi)i                Note: i² = -1
                       =  8i  + 8yi - 6i² - 6yi²
                       =  8i  +  8yi - 6(-1) - 6y(-1)  
                       =  8i  +  8yi  + 6 + 6y
                       =  6 + 6y + 8i + 8yi
                       =  (6 + 6y) + (8 + 8y)i    In the form a + bi
5 0
3 years ago
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stepladder [879]

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The second equation can be simplified down to 12 and 6.25. Therefore, "<" is incorrect. It should be ">".

5 0
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Which of the following is the quotient of b and a?
vlabodo [156]
\bf 19^{\frac{7}{4}}\cdot \sqrt[a]{19^b}=19^{\frac{5}{2}}\sqrt{19}\\\\&#10;-----------------------------\\\\&#10;a^{\frac{{ n}}{{ m}}} \implies  \sqrt[{ m}]{a^{ n}} \qquad \qquad&#10;\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\&#10;-----------------------------\\\\&#10;thus\qquad 19^{\frac{7}{4}}\cdot 19^{\frac{b}{a}}=19^{\frac{5}{2}}\cdot 19^{\frac{1}{2}}\implies 19^{\frac{7}{4}+\frac{b}{a}}=19^{\frac{5}{2}+\frac{1}{2}}&#10;\\\\\\&#10;

\bf 19^{\frac{7}{4}+\frac{b}{a}}=19^{\frac{6}{2}}\implies 19^{\frac{7}{4}+\frac{b}{a}}=19^3\impliedby &#10;\begin{array}{llll}&#10;\textit{same base, thus}\\&#10;\textit{exponents must be the same}&#10;\end{array}&#10;\\\\\\&#10;\cfrac{7}{4}+\cfrac{b}{a}=3\implies \cfrac{b}{a}=3-\cfrac{7}{4}
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