John had $55 He spent $3 per day for nine days. Then he was given $12 to divide equally between himself and his two cousins. John used the following expression to calculate the ar
after splitting the money with his cousins

Based on this expression, what is the amount of money John had remaining?

Answer:

4/13

Step-by-step explanation:

Count all cards that are 4, 5, 6, and 7 (each of 4 different suits) so the number of cards that is greater than 3 and less than 8 = 4(4) = 16.

There are 52 cards in a standard deck of cards.

P(greater than 3 and less than 8)

= 16/52

= 4/13

Answer:01-80 + 15= |-65= -65 units

Step-by-step explanation:

Answer:

5.60 ganeyryjfj3ym5uhwrbeyny3nte y

Answer:

(2k+3) (k−8)

Step-by-step explanation:

Answer:

-6g + 7h

Step-by-step explanation:

Answer:

I think it's

Q = ( 1 , 3 )

R = ( 3 , 3 )

S = ( 0 , 2 )

T = ( -2 , 1 )

Step-by-step explanation:

please tell me if this is wrong.

Hope this helps!

Answer:

48%

Step-by-step explanation:

(24/50)2

= 48/100

= 48%

Answer:

Gwen has already burned 100 calories when Tristan and Keith started, and he continues to burn 10 calories per minute.The equation for Gwen is

y = 100 + 10x

Question 2)`Tristan is burning 125 calories every 10 minutes. His burning calories rate is 12.5 calories per minute. The equation for Tristan is

y = 12.5x

Question 3)Keith is burning 300 calories in 30 minutes. His rate per minute is 10 calories per minute. The equation for Keith isy = 10x

Step-by-step explanation:

Answer:

The rate of change of Function A is less than the rate of change of function B.

Other than that, everything else you put is correct.

Step-by-step explanation:

None.

Answer:

Option A, B and D are correct options.

Step-by-step explanation:

First we will find rate of change of function A and function B

Rate of Change of Function A

The formula used to calculate rate of change is: [tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have x_1=1, y_1=5, x_2=2, y_2=7

Putting values in formula and finding rate of change

[tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:Change=\frac{7-5}{2-1}\\Rate\:of\:Change=\frac{2}{1}\\Rate\:of\:Change=2[/tex]

So, Rate of change of Function A = 2

Now, finding y-intercept.

y-intercept is found by putting x =0

Looking at the function, we can write the equation: y=2x+3

Now, put x =0

y=2(0)+3

y=3

So, when x =0, y=3

So, y-intercept is 3 for function A.

Rate of Change of Function A

The formula used to calculate rate of change is: [tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have x_1=1, y_1=1, x_2=2, y_2=4

Putting values in formula and finding rate of change

[tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:Change=\frac{4-1}{2-1}\\Rate\:of\:Change=\frac{3}{1}\\Rate\:of\:Change=3[/tex]

So, Rate of change of Function B = 3

Now, finding y-intercept.

y-intercept is found by putting x =0

Looking at the graph, when x=0, y is -2

So, y-intercept is -2 for function B.

We get following answers:

Rate of change of Function A = 2

Rate of change of Function B = 3

y-intercept is 3 for function A.

y-intercept is -2 for function B.

So, The correct options are:

The rate of change of function A and B are positive

The rate of change of function A is less than the rate of change of function B. (Because 2 is less than 3)

The y-intercept of function A is positive, while y-intercept of function B is negative.

So, Option A, B and D are correct options.

Answer:

159

Step-by-step explanation:

35x-1 =-35 plus 34x20

Answer: y=4/3x-8

Step-by-step explanation:

Answer:

D

Step-by-step explanation: edge 2021

Answer:

67 ≤ x ≤ 73

Step-by-step explanation:

The absolute value of a real number x is the non negative value of x. Therefore the absolute value of x (|x|) = x for x ≥ 0 and -x for x < 0.

An expression |x - a| = b signifies that x - a = b or -(x - a) = b

Given that |x − 70| ≤ 3, hence:

|x − 70| ≤ 3

x - 70 ≤ 3 or -(x - 70) ≤ 3

x ≤ 3 + 70 or x - 70 ≥ -3

x ≤ 73 or x ≥ -3 + 70

x ≤ 73 or x ≥ 67

67 ≤ x ≤ 73

Hence the solution of |x − 70| ≤ 3 is 67 ≤ x ≤ 73

Answer:

The mercury will not freeze because the freezer is warmer than the freezing point of mercury.

Step-by-step explanation:

A "freezing point" is a point that allows a liquid to solidify. This is lower than the melting point (of course). However, specific liquids freeze at varying freezing points.

For example, the freezing point of water is 0°C while the freezing point of Mercury is -39°C. This means that water will only freeze once it reaches a temperature of 0°C or lower than this. Same goes for Mercury–it needs to reach the temperature of -39°C or lower in order to freeze.

Answer:

2

Step-by-step explanation:

The slope of the line with equation y=2x+3 is 2 . So, any line parallel to y=2x+3 has the same slope 2 .

Hello!

Parallel lines have the same slope. So if one line has a slope of 2, the line parallel to it has a slope of 2 as well.

Therefore, the slope is 2. Hope it helps.

If you have any questions, feel free to ask.

~A forlorn teen

[tex]MagicalNature[/tex]

Answer:

x = 24.52

Step-by-step explanation:

Since this is a right triangle, use Pythagorean Theorem to solve for the hypotenuse.

Pythagorean Theorem: a² + b² = c²

24² + 5² = x²

576 + 25 = x²

601 = x²

√601 = x

Answer: Decisions and Determinations -If a Medicare appeal request does not result in a dismissal, adjudication of ... dismissal by providing an explanation for the late filing to the MAC within 6 months of the dismissal of the.

Step-by-step explanation:g brain

Answer: (1,-3)

Step-by-step explanation:

Answer:

5 3/4

Step-by-step explanation:

Answer:

in my opinion i would say.. 4/1 cause how many cups but if im wrong im sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given function:

a) Maximum height is the vertex. The ball reaches the maximum after:

b) Time the ball was in the air:

Solving we get approximately t = 13 seconds

c) Maximum height is at vertex, we found t above:

4.332 x 10³

Step-by-step explanation:

hope it helps!

Answer:

a) 12cm

b) 360cm²

c) 2160cm cubed

Step-by-step explanation:

a)

you would use Pythagoras theorem  for A

so half of 18 is 9

15² - 9² = 144

the square root of 144 is 12

the height is 12cm

b)

18 x 20 = 360cm²

c)

csa x L

csa = b x h divide by 2

18 x 12 = 216cm²/2 = 108cm²

108xm² x 20cm = 2160cm cubed

Answer:

I think the answer is D

Step-by-step explanation:

Answer is D, because if you divide 13 and 15 it gives you 0.8125

Answer:

1) 4x² + 3x

Step-by-step explanation:

Add/Combine like terms:

2x² - 6x² = -4x²

6x - (+3x) = 3x

5 - (+5) = 0

Simplify: -4x² + 3x

Answer:

WHAT?!

Step-by-step explanation:

Answer:

Latoya can plant 5/6 of her garden in one hour.

Step-by-step explanation:

☆We can solve using proportion!

[tex] \frac{ \frac{1}{3 } \: of \: garden }{ \frac{2}{5} \: of \: hour } = \frac{x}{1 \: hour} \\ \\ \frac{ \: \frac { 2}{5}x }{ \frac{2}{5} } = \frac{ \frac{1}{3} }{ \frac{2}{5} } \\ \\ x = \frac{5}{6} [/tex]

Answer:

See the proof below

Step-by-step explanation:

Given the following coordinates

P(2, −1)

Midpoint of PQ M(3, 0)

We can get the coordinate point Q using the midpoint formula;

M(X,Y) = (x1+x2/2, y1+y2/2)

X = x1+x2/2

3 = 2+x2/2

6 = 2+x2

x2 = 6-2

x2 = 4

Y = y1+y2/2

0 = -1+y2/2

0 = -1 + y2

y2 = 0+1

y2 = 1

Hence the coordinate of Q is (4, 1)

Next is to get the coordinate of R

Given the midpoint of QR to be N(5, 3)

(5,3) = (4+x2/2, 1+y2/2)

5 = 4+x2/2

10 = 4+x2

x2 = 10-4

x2 = 6

1+y2/2 = 3

1+y2 = 6

y2 = 6-1

y2 = 5

Hence the coordinate of R is (6,5)

Given the coordinates M(3, 0) and N(5, 3)

Slope is expressed as:

m = y2-y1/x2-x1

m = 3-0/5-3

m = 3/2

Slope of MN = 3/2

Get the slope of PR

Given the coordinates P(2, −1) and R (6,5)

Slope of PR = 5-(-1)/6-2

Slope of PR = 5+1/4

Slope of PR = 6/4 = 3/2

Since the slope of MN is equal to that of PR, hence MN is parallel to PR i.e MN || PR

To show that MN = 1/2PR, we will have to take the distance between M and N and also P and R first as shown:

For MN with coordinates  M(3, 0) and N(5, 3)

MN = √(x2-x1)²+(y2-y1)²

MN = √(5-3)²+(3-0)²

MN = √2²+3²

MN = √13

Get the length of PR where P(2, −1) and R (6,5)

PR = √(6-2)²+(5+1)²

PR = √4²+6²

PR = √16+36

PR = √52

PR = √4*13

PR = √4*√13

PR = 2√13

Since MN = √13

PR = 2MN

Divide both sides by 2

PR/2 = 2MN/2

PR/2 = MN

Hence MN = 1/2 PR (Proved!)