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Andrej [43]
3 years ago
9

The ratio of Sunita’s age to Mark’s age is currently 3 to 4, and in 12 years, it will be 5 to 6. What is Mark’s current age?

Mathematics
1 answer:
ololo11 [35]3 years ago
3 0

Answer:

Mark is currently 24

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Find the equation of a line parallel to y=4x−4 that contains the point (−2,0). Write the equation in slope-intercept form.
Allushta [10]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

y=\stackrel{\stackrel{m}{\downarrow }}{4} x-4\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so we're really looking for the equation of a line whose slope is 4 and passes through (-2 , 0)

(\stackrel{x_1}{-2}~,~\stackrel{y_1}{0})\qquad \qquad \stackrel{slope}{m}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{4}(x-\stackrel{x_1}{(-2)}) \\\\\\ y=4(x+2)\implies y=4x+8

8 0
2 years ago
What is the answer please help
Kitty [74]

2 | 3

45| 67.5

33| 50

multiplying and dividing by 1.5 based off of the 2-3 ratio.

7 0
3 years ago
How do you solve 24=x•30
ollegr [7]
I Tired To Explain It As Best As I Could.

Isolate the variable by dividing each side by factors that don’t contain the variable.

24 = x • 30

Use The Commutative Property To Reorder The Terms

24 = 30x

Swap The Sides Of The Equations

30x = 24

Divide Both Sides Of The Equations By 30

30x ÷ 30 = 24 ÷ 30

Any Expression Divided By Itself Equals 1

x= 24 ÷ 30 or x =24/30

Reduce The Fraction With 6

x = 4/5

Exact Form:

x = 4/5


Decimal Form:

x = 0.8
5 0
3 years ago
What is 1/2 + 1/6, please explain, I'm very bad at math
Masja [62]

Answer:

Before adding, we need to make sure the denominators are the same. We can do so by multiplying the fraction by a common multiple. In this case, 3 is a multiple of 6, so we can change 1/2 to 3/6. 3/6 is still equal to 1/2, so nothing changes.

Now we have 3/6+1/6, which is 4/6 (add the numerator).

4/6 can be simplified to 2/3 and 2 is a multiple of 4 and 6.

So, therefore, the answer is 2/3.

4 0
3 years ago
Four times the square of a certain number increased by 6 times the number equals 108.find the number
slamgirl [31]
To effectively determine the correct answer, it would be helpful to write this into an algebraic expression. We let x as the number. We do as follows:

<span>Four times the square of a certain number increased by 6 times the number equals 108.

4x^2 + 6x = 108

The numbers can be either of the following since the equation generated was a quadratic equation which has two roots.
x = 4.5
x = -6 </span>
5 0
3 years ago
Read 2 more answers
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