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3 years ago

12

Bailey earned $6 worth of interest on his savings account this month. If m represents the amount of money Bailey had last month,

what expression shows how much money Bailey has now?
A. 6m
B. m - 6
C. m + 6
D. m/6

The / in D. is the division sign.

1 answer:

LuckyWell [14K]3 years ago

8 0

C. M+6 hope I helped if I didn’t sry Gee

You might be interested in

Ninety percent of what number is 45

hram777 [196]

Divide 45 by 90%
45÷0.90=50

Check your work:
=50*90%
=50*0.90
=45

45 is 90% of 50

Hope this helps! :)

7 0

3 years ago

locate the point on the line segment A (3,-5) and B (13,-15) given that the point is 4/5 of the way from A to B. Show your work

rjkz [21]

Answer:

The coordinates of the point on the line segment between A (3 , -5) and B (13 , -15) given that the point is 4/5 of the way from A to B would be: (11 , -13)

Step-by-step explanation:

As the line segment has the points:

A(3, -5)

B(13, -15)

Let (x, y) be the point located on the line segment which is 4/5 of the way from A to B.

Using the formula

$x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$

$y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

Here, the point (x , y) divides the line segment having end points (x₁, y₁) and (x₂, y₂) in the ratio m₁ : m₂ from the point (x₁, y₁).

As (x, y) be the point located on the line segment which is 4/5 of the way from A to B, meaning the distance from $A$ to $(x , y)$ is $4$ units, and the

distance from $(x , y)$ to B is 1 unit, as $5 - 4 = 1$ .

Thus

m : n = 4 : 1

so

<u>Finding x-coordinate:</u>

$x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$

$x=\frac{\left(3\right)\left(1\right)+\left(13\right)\left(4\right)}{4+1}$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$x=\frac{3\cdot \:1+13\cdot \:4}{4+1}$

$x=\frac{55}{4+1}$ ∵ $3\cdot \:1+13\cdot \:4=55$

$x=\frac{55}{5}$

$\mathrm{Divide\:the\:numbers:}\:\frac{55}{5}=11$

$x=11$

<u></u>

<u>Finding y-coordinate:</u>

$y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

$y=\frac{\left(-5\right)\left(1\right)+\left(-15\right)\left(4\right)}{4+1}$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$y=\frac{-5\cdot \:\:1-15\cdot \:\:4}{4+1}$

$=\frac{-65}{4+1}$ ∵ $-5\cdot \:1-15\cdot \:4=-65$

$=\frac{-65}{5}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

$y=-\frac{65}{5}$

$y=-13$

so

The x-coordinate = 11

The y-coordinate = -13

Therefore, the coordinates of the point on the line segment between A (3 , -5) and B (13 , -15) given that the point is 4/5 of the way from A to B would be: (11 , -13)

7 0

2 years ago

YOU HAVE 8 COINS IN A BAG. 3 OF THEM ARE UNFAIR AND THEY HAVE 60% CHANCE OF COMING UP WITH HEAD WHEN FLIPPED. YOU RANDOMLY CHOSE

madreJ [45]

Answer:

0.29125 or 29.125%

Step-by-step explanation:

For the five fair coins, the probability of coming up head when flipped is 0.5, so for two flips: 0.5*0.5 = 0.25, for each of these coins. So, the probability to take on of them is 5/8, and the probability of coming up with head: (5/8)*0.25 = 0.15625.

For the unfair coins, the probability of coming up with heads is 0.6, so for two flips: 0.6*0.6 = 0.36 for each unfair coins. The probability to chose one of them is 3/8, and the probability of coming up with head: (3/8)*0.36 = 0.135.

These probabilities are dependent, so to have the total probability we must sum them:

P = 0.15625 + 0.135

P = 0.29125 or

P = 0.29125 x 100% = 29.125%

4 0

3 years ago

How many pairs of whole numbers have a sum of 40

Ahat [919]

It is 20
39+1
38+2
37+3
36+4
35+5
<span>Until you get to 20+20</span>

3 0

2 years ago

A rectangular prism has a length of 414 in., a width of 3 in., and a height of 114 in.

pshichka [43]

I would say B. Volume = L x W x H

5 0

3 years ago

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