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Oduvanchick [21]
3 years ago
15

What is the number whose 4/5 is 144

Mathematics
1 answer:
Savatey [412]3 years ago
4 0

We want 4/5 of a number to be 144. This means that

\dfrac{4}{5} \cdot x = 144

Multiplying both sides by 5/4, we have

x = \dfrac{144\cdot 5}{4} = 180

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The Michigan veteran population in 1990 was 14.2% and in 2000 was 12.4%.
Mandarinka [93]

Let x- intercept represents time

Let y-intercept represents population

Let 1990 represent initial year

Points are (0,14.2)(10,12.4)

slope m= \frac{y2-y1}{x2-x1}

= \frac{12.4-14.2}{10-0} =\frac{-1.8}{10} = -0.08

General linear equation

y= mx+b --------------(i)

here m is slope and b is intercept

plug the 1st point in equation

14.2= -0.018(0) + b

b=14.2

y= 0.018x + 14.2

replace y with p(t) and x with t

p(t) = -0.018t + 14.2


6 0
3 years ago
Determine the ratio in which the point (–6, m) divides the join of A(–3, –1) and B(–8, 9). Also, find the value of m.
PSYCHO15rus [73]

Answer:

Ratio = 3 : 2 and value of m = 5.

Step-by-step explanation:

We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.

Let us assume that it cuts the line in k : 1 ratio.

Then, the co-ordinates of P = ( \frac{-8k-3}{k+1},\frac{9k-1}{k+1} ).

But, \frac{-8k-3}{k+1} = -6

i.e. -8k-3 = -6k-6

i.e. -2k = -3

i.e. k = \frac{3}{2}

So, the ratio is k : 1 i.e \frac{3}{2} : 1 i.e. 3 : 2.

Hence, the ratio in which P divides the line is 3 : 2.

Also, \frac{9k-1}{k+1} = m where k = \frac{3}{2}

i.e. m = \frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}

i.e. m = \frac{27-2}{3+2}

i.e. m = \frac{25}{5}

i.e. m = 5.

Hence, the value of m is 5.

4 0
3 years ago
Read 2 more answers
A manager wants to select one group of 4 people from his 28 assistants.
Keith_Richards [23]

There are, 20475 different groups are possible if the manager wants to select one group of 4 people from his 28 assistants.

<h3>What is permutation and combination?</h3>

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

A manager wants to select one group of 4 people from his 28 assistants.

The total number of groups possible = C(28, 4)

= \rm \dfrac{28!}{4!(28-4)!}

After calculating:

= 20475

Thus, there are, 20475 different groups are possible if the manager wants to select one group of 4 people from his 28 assistants.

Learn more about permutation and combination here:

brainly.com/question/2295036

#SPJ1

8 0
2 years ago
Solve the system of equations.
algol [13]
8x + 5(-4x) = 24
8x - 20x = 24
-12x = 24
x = -2

y = -4(-2)
y = 8

Therefore, the point of intersection is (-2,8).
5 0
3 years ago
Read 2 more answers
Please help with this!!
maw [93]

Answer:

gcf=2

12-2=4(3-1)

hope this is right!

8 0
2 years ago
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