Describe how two column and flowchart proofs are similar?

Given:

The ratio of the cost of a shirt to the cost of a jacket is 2:5.

The jacket cost $240 more than the shirt.

To find:

The cost of the shirt and the cost of the jacket.

Solution:

Let x be the cost of the shirt.

The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).

The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,

[tex]\dfrac{x}{x+240}=\dfrac{2}{5}[/tex]

[tex]5x=2(x+240)[/tex]

[tex]5x=2x+480[/tex]

Subtract 2x from both sides.

[tex]5x-2x=480[/tex]

[tex]3x=480[/tex]

Divide both sides by 3.

[tex]x=\dfrac{480}{3}[/tex]

[tex]x=160[/tex]

So, the cost of shirt is $160.

Now, the cost of jacket is:

[tex]160+240=400[/tex]

Therefore, the cost of shirt is $160 and the cost of jacket is $400.

Answer:

534.0707511

Step-by-step explanation:

Answer:

534.07

Step-by-step explanation:

2 π r h +2 π r² =2•π•5•12 + 2•π•5² ≈ 534.0

Answer:

76

Step-by-step explanation:

when b = -6

b^2 - 6b + 4

(-6)^2 - 6(-6) + 4

36 + 36 + 4 = 76

(remember, a negative times a negative always equals a positive)

... please mark as brainliest!! :)) ...

Answer: [tex]10, 31\ \text{years}[/tex]

Step-by-step explanation:

Given

The present age of Madison's Mother is three time that of Madison

Suppose the Present age of Madison is [tex]x[/tex], so age of her mother is [tex]3x[/tex]

After [tex]6\dfrac{1}{4}\ \text{years}[/tex], the sum of their age will be [tex]53\dfrac{3}{4}\ \text{years}[/tex]

[tex]\therefore (x+6\dfrac{1}{4})+(3x+6\dfrac{1}{4})=53\dfrac{3}{4}\\\\\Rightarrow 4x+2\times \dfrac{25}{4}=\dfrac{53\times 4+3}{4}\\\\\Rightarrow 4x+\dfrac{50}{4}=\dfrac{215}{4}\\\\\Rightarrow 4x=\dfrac{215-50}{4}\\\\\Rightarrow x=\dfrac{165}{16}\\\\\Rightarrow x= 10.31\approx 10[/tex]

Madison mother's age [tex]3x=30.93\approx 31\ \text{years}[/tex]

Answer:

1) B, 48

2) C. 180=2x2x3x15

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

average = mean of the data

(3 +5)/2

=8/2

=4

Answer:

8

Step-by-step explanation:

f(x2) -f(x1)

---------------

x2-x1

x2 = -3  and x1 = -5

There is an 8.125 chance you can get the correct number , If you keep getting 800 every time due to the random probability , For when you divide it as 6500 ÷ 800 = 8.125

Thanks , Please mark me brainliest

From TyrantMC

Answer:

√13

Step-by-step explanation:

To get the side a, we will use the cosine rule as shown;

a² = b²+c²-2bcCosθ

Substitute the given values

a² = 5²+(3√2)²-2(5)(3√2)Cos45

a² = 25+18-30√2*1/√2

a² = 25+18-30

a² = 13

a = √13

Hence the value of a is √13

Answer:

510°

Step-by-step explanation:

Total Time from 8:10pm to 9:35pm is 1hour 25mins= 85mins

Movement of the minute hand from one point around the clock and back to the same point gives a complete rotation of 360°

if 60mins = 360°

85mins=

[tex] \frac{85}{60} \times 360[/tex]

= 510 degrees

Answer:

[tex]144\pi[/tex]cm

multiple 24 pi with 6 on a scientific calculator.

Answer:

4pi

Step-by-step explanation:

that is the procedure above

Answer:

y = sin( x/2)

Step-by-step explanation:

The amplitude is 1

The period is 4pi

y = A sin ( Bx)

where A is the amplitude and B is 2pi/ period

y = 1sin (2pi/ 4pi x)

y = sin( x/2)

Answer:

Step-by-step explanation:

c

Answer:

6.05 kg, 6050 grams

Step-by-step explanation:

The kilograms were already given in your question, so that's one half done.

1 kilogram is equivalent to 1000 grams. If we multiply 6.05 by 1000, then you get 6050, the measurement in grams.

Answer:

ax + b + y^2 + 2yx + x^2

Step-by-step explanation:

(y+x)^2

= (y+x)(y+x)

= y^2 + 2yx + x^2

y^2 + 2yx + x^2 + (ax+b)

= ax + b + y^2 + 2yx + x^2

Answer:

Step-by-step explanation: Hope this helps

Answer:

Step-by-step explanation:

11t= tina

Rita= 11r+32

Answer:

b

Step-by-step explanation:

(-x+2 ) +5 -(x - 2)  [tex]\geq[/tex] 0

-2x+ 9[tex]\geq[/tex]0

x [tex]\leq[/tex]9/2

Answer:

1) The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.

2) The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.

Step-by-step explanation: I just did the tutorial right now i hope this helps

Answer:

part a = The number of hours since Vicky took the phone off the charger is the independent quantity, so the variable x should represent it.

part b = The percentage of battery life left in hours is the dependent quantity, so the variable y should represent it.

part c = The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.

part d = The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.

part e = The rate of change of the function, m, is -5, and the initial value of the function, b, is 100. Substitute the values of m and b in the equation y = mx + b. The equation of the function that models the phone’s remaining battery life in terms of the number of hours from the time Vicky took it off the charger is y = -5x + 100.

Step-by-step explanation:

All edmentum answers :)

Answer:

I think its C.

Step-by-step explanation:

this that I brain farted oooo i got it

Answer:

A " (1,-2)

B " (4,0)

C " (6,-3)

Step-by-step explanation:

Hope it helped.

° ° °

3 / 5 = 0.6

3/5 = 60/100 = 60% = 0.6

Hope this helps!

Answer: 0.6

Step-by-step explanation: if 1/5=.20 3/5=.6

Answer:

NO

Step-by-step explanation:

Answer:

13.9

Step-by-step explanation:

For the 41° angle, x is the opposite leg, and 16 is the adjacent leg. The trig ratio that relates the opposite leg and the adjacent leg is the tangent.

tan A = opp/adj

tan 41° = x/16

x = 16 * tan 41°

x = 13.9085...

Answer: 13.9

Answer:

30

Step-by-step explanation:

let the length of VN be x

VNB ~ VMD

VN/VM = BN/DM

x/(30+x) = 12/24

24x=12(30+x)

24x=360+12x

12x=360

x = 30

It's bottom left

It says let C represent the cost of a one-year membership.

C is 80 in order to represent the day you must divide it by 10.

which gives one box for day and 10 boxes for year

Answer:

4x+3y<15

This is the inequality represented by the graph

Answer:

c is -30

Step-by-step explanation:

I. 1/a - 1/b - 1/d = 1/c

II. 1/2 - 1/3 - 1/5 = 1/c

III. (15-10-6)/30 = 1/c

IV. -1/30 = 1/c

V. so c.value is -30

Answer:

[tex] \theta = 7 .2\degree [/tex]

Step-by-step explanation:

[tex]area = \frac{\theta}{360} \times \pi {r}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times {21}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times 441 \\ \frac{27.72 \times 360}{441\pi} = \theta \\ \frac{9979.2}{1385.4} = \theta \\ \\ 7 .2\degree = \theta[/tex]

Answer:

x2 + xy2 + y 4=（x+y^2)^2-xy^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

x²+x-12=0

D=49

X1=3

X2=-4

First is (-4;16)

Put x to the equation y=12-3=9

The other is (3;9)

W

Step-by-step explanation:

According to the fundamentals of Mathematics, as well as corresponding mathematical principles, encompassing trigonometry, are acknowledged to provide the intergenerational definitions for subsequent generations.

Thus far, the radius is equated to half the diameter.