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AVprozaik [17]
3 years ago
14

Share the following total in its given ratio. $18 at ratio 1.2​

Mathematics
1 answer:
nadya68 [22]3 years ago
3 0
The answer should be 21.6
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How would I figure out a linear equation with two plot points with fractions? (1/3(6),3) and (1/2(19),-2) are my two plot points
murzikaleks [220]

Answer: m=\frac{-30}{79},\ y=5.40

Step-by-step explanation:

Given

Points are \left(6\frac{1}{3},3\right),\ \left(19\frac{1}{2},-2\right)

Convert mixed numeral to fraction

\left(6\frac{1}{3},3\right)\Rightarrow \left(\dfrac{19}{3},3\right)\\\\\left(19\frac{1}{2},-2\right)\Rightarrow \left(\dfrac{39}{2},-2\right)

Slope of the line is

\Rightarrow m=\dfrac{3-(-2)}{\dfrac{19}{3}-\dfrac{39}{2}}\\\\\Rightarrow m=\dfrac{5}{\dfrac{38-117}{6}}\\\\\Rightarrow m=\dfrac{-30}{79}

Equation of line

\Rightarrow \dfrac{y-3}{x-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\text{for y-intercept, put x=0}\\\\\Rightarrow \dfrac{y-3}{0-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\Rightarrow y-3=\dfrac{190}{79}\\\\\Rightarrow y=3+2.40\\\Rightarrow y=5.40

3 0
3 years ago
The angle of depression from a balloon on a 75ft string to a person on the ground is 36°. How high is the balloon?
Rainbow [258]

Answer:

Step-by-step explanation:

sin36=h/75

h=75sin36

h=44.08ft

5 0
2 years ago
Please solve with explanation 20 points
Lapatulllka [165]

Answer: D

Step-by-step explanation: start at y-axis and go over 5, down 1 since its a -1.

8 0
3 years ago
What is the value of x in the equation 3x -
shusha [124]
Do u mean 3x-y=18
If not clear your question and if yes this is the question then the answer is 96.6
8 0
3 years ago
Can someone help me?
zheka24 [161]

We can Notice that : Number of Cells growth is a Geometric Sequence

That is : 1 , 2 , 4 , 8 , 16. . . . .

We know that : nth term in a Geometric Sequence is = a.rⁿ⁻¹

where a is the first term

r is the common ratio, which is given by ratio of 2nd term to 1st term

For the above Sequence, a = 1 and r = 2

Given : nth term over 1000

⇒ 1.2ⁿ⁻¹ = 1024

⇒ 2ⁿ⁻¹ = 2¹⁰

⇒ n - 1 = 10

⇒ n = 11

We can Notice that : Number of Hours is a Arithmetic Sequence

That is : 0 , 3 , 6 , 9 , 12

We know that : nth term in a Arithmetic Sequence is = a + (n - 1)d

where a is the first term

r is the common difference, which is given by difference between 2nd term and 1st term

For the above Sequence, a = 0 and r = 3 - 0 = 3

we need to find the number of hours, which is when : n = 11

⇒ 0 + (11 - 1)3

⇒ 10(3)

⇒ 30

⇒ It will take 30 hours to have over 1000 bacteria

4 0
2 years ago
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