marcus collects donations and sends care packages to troops overseas. He has 36 bars of soap and 24 toothbrushes and wants to arrange the items so the packages are identical. What is the greatest number of packages that Marcus can make using all the soap and toothbrushes?

Answer:

85°

Step-by-step explanation:

180° - (67°+28°) =p

180°- 95° = p

P = 85°

The height of the pile increasing when the pile is 16 feet high is 5/32 ft/min.

We are given dV/dt=10 cubic ft/min and we want to find dh/dt. Therefore, first we need to write a formula relating v and h.

V=pi*r^2*h/3  since d=h at any moment, we know that r=h/2 at any moment and if we substitute h/2 for r, we get

V=pi(h/2)^2*h/3 and if we simplify this,  we get

V=pi*(h^3)/12

Now we need to take the derivative of both sides with respect to t

dV/dt = pi * ( 3 * h^2 ) */12 * dh/dt

= pi * h^2 / 4 * dh/dt, substitute 40 for dV/dt and 16 for h and solve for dh/dt and we get

40 = pi * 16^2/4*dh/dt

dh/dt = 40 * 4 / ( 256 * pi )

= 40/(256*pi) ft/min,

= 10/64

= 5/32 ft/min

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Answer:

4x2+2x+4 I gotcha(:

Pic is above, cut off is a -10

Answer:

it's the first option

Step-by-step explanation:

if you take 7.20÷ by 24 you get 0.30 cents and if you take 2.70 ÷6 you get 0.45 cents so if you subtract .30 from .45 you get 0.15cents

Answer:

she pays 15p more on each juice pack

Step-by-step explanation:

if u do 7.20÷4 you get 30p per juice pack (jalen)

if u do 2.70÷6 you get 45p per juice pack (tia)

Answer:

188 sq m

Step-by-step explanation:

for the top square its just 6 x 6 which is 36

then for the bottom you add 6 + 13 for the width (which is 19) and we've already been given 8 for the height so then you multiply 19 x 8 and get 152

you then add 152 and 36 to get 188 (and the unit is sq m or m^2)

The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² =  (a + ib)²(a - ib)²

From the question, we have the following parameters that can be used in our computation:

✓(x + iy) = a + ib

Changing the signs, we have

✓(x - iy) = a - ib

Multiply both expressions

This gives

✓(x + iy) * ✓(x - iy) =  (a + ib)(a - ib)

Square both sides

So, we have

(x + iy) * (x - iy) =  (a + ib)²(a - ib)²

This gives

x² + y² =  (a + ib)²(a - ib)²

Hence, the values of ✓(x - iy) is a - ib and x² + y² is  (a + ib)²(a - ib)²

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Answer:

40,900   40,800   40,700   40,600   40,500

Step-by-step explanation:

The 4 will stay the same, it doesn't need to change because you are focusing on the number after it which is 1. a number has to be over 5 to round up the number. If we are trying to make a 1 , the previous number must be either a 5, a 6, a 7, an 8, or a 9

Answer: A = JIH

B = GJH

C = GH

D = 300

E = 60

Step-by-step explanation:

A) <JIH is a inscribed angle

B) GJH is a major arc

C) GH is a minor arc

D) m GH = m<GFh = 60

Answer:

2 i think

Step-by-step explanation:

To distribute -3√3 to (2 + √6), we can use the distributive property:

-3√3 (2 + √6) = (-3√3 * 2) + (-3√3 * √6)

Next, we can simplify each term using the product rule of radicals:

(-3√3 * 2) = -6√3

(-3√3 * √6) = -3√(3

Therefore, when we distribute -3√3 to (2 + √6), we get:

-3√3 (2 + √6) = -6√3 - 9√2.

The area of trapezoid DEFG having coordinates D (2, 3), E (4, 3), F (6, 1), and G (2, 1) is found to be  12 square units.

The diagram is attached for the question.

Area of trapezoid DEFG = 1/2(sum of parallel sides)*height

Area of trapezoid DEFG = 1/2*(2 + 4)*4

Area of trapezoid DEFG = 12 square units

Thus, the area of trapezoid DEFG having coordinates D (2, 3), E (4, 3), F (6, 1), and G (2, 1) is found to be  12 square units.

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To evaluate f(-x) when f(x) = x/(x^2 + 1), we need to substitute -x for x in the function.

So f(-x) = (-x)/((-x)^2 + 1)

Simplifying the denominator we get:

f(-x) = (-x)/(x^2 + 1)

The function f(-x) is equivalent to the function f(x) with the x-value negated. The value of the function f(-x) is the same as the value of the function f(x) but with the x-value negated.

It's important to note that we can also express this as f(-x) = -f(x)

So the value of f(-x) is x/(x^2 + 1) with the x-value negated.

Answer:

Step-by-step explanation:

Probability is the possibility for an event to occur or not to occur.

The formula for a combination is:

n choose r = n! / (r! x (n-r)!)

Given

n=14

r= 11 to 13

Hence, we shall add up the cases for 11 through 13.

nCr

14C11 + 14C12 + 14C13

14!/11!(14-11)! + 14!/12(14-12)! + 14!/13(14-13)!

= 14!/11!•3! + 14!/12!•2! + 14!/13!•1!

= 14*13*12*11!/11!•(3*2*1) + 14*13*12!/12!•(2*1) + 14*13!/13!•(1*1)

= 2184/6+182/2+14/1

= 364+91+14

= 469 ways

Step-by-step explanation:

469 ways are the ways to I think so if the answer is correct plz make ma the brainliest

Answer:

2.437 + 0.0041 = 2.4411

0.4 - 0.063 = 0.337

Step-by-step explanation:

We can rewrite the numbers to be up to the same decimal point by appending 0s

2.437=2.4370

0.4 = 0.400

That's how fractions work, because 4/10 = 400/1000

After setting the same length, the addition or subtraction becomes very normal - just do it as you would always do

24370+41 = 24411, so 2.4370 + 0.0041 = 2.4411

400 - 63 = 337, so 0.400 - 0.063 = 0.337

Answer:

similar by angle angle similarity property.

Step-by-step explanation:

they have the right angles, and then the two vertical angles.

:))

La edad actual de José es de 30 años.

Para resolver este problema, primero debemos establecer ecuaciones basadas en la información proporcionada. Llamemos "x" a la edad actual de José y "y" a la edad actual de Ana. Según la primera condición, la edad de Ana es la mitad de la edad de José, por lo que podemos escribir la ecuación: y = (1/2)x.

La segunda condición nos dice que dentro de 10 años, sus edades serán dos tercios de sus edades actuales. Esto se puede expresar como: (x + 10) * (2/3) = y + 10.

Reemplazando el valor de y en la segunda ecuación con la primera ecuación, obtenemos: (x + 10) * (2/3) = (1/2)x + 10.

Resolviendo esta ecuación, podemos simplificarla y llegar a: 2(x + 10) = 3[(1/2)x + 10].

Al resolver la ecuación resultante, encontramos que x = 30.

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Answer:

c

Step-by-step explanation:

The building in the drawing is 700 centimeters or 7 meters.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

Given 3 meters on real is equal to 7 centimeters on drawing

i.e. 3 meters=7 centimeters

or, 1 meter = 7/3 centimeters

We need to find reading for 300 meters so,

or, 300 meters=7/3*300 centimeters

                        =700 centimeters or 7  meters

Therefore the building in the drawing is 700 centimeters or 7 meters.

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Answer:

7/8 is larger by .02 points

Step-by-step explanation:

Answer:

Step-by-step explanation:

7/8 = 0.875

0.87 = 0.87     Subtract

Ans = 0.005

7/8 is larger by 0.005

Answer:

758, 578, 857, 785, 875, 587

Answer: Do you need any help?

(I apologize because I didn’t see your full question before.$

Answer: 3 7/15

Step-by-step explanation: You first do 1 /5 plus 2/3.But they don't have the same denominator so you make it the same which you can make it to 15 so you make both denominator of   1/5 and 2/3. So 1 /5 change to 3/15 and 2/3 change to 10/15.Now add 3/15 to 10/15 which is 13/5.After that you do 4 times 13/5.But change 4 to a fraction to make it easy which is 4/1.Now multiply 4/1 by 13/5 which gives you 52/15 .Finally change 52/15 to a mixed number which is 3 7/15.

Hope it helps and look at pic below to see the steps :)

Answer:

Step-by-step explanation:

The answer is C.

Almonds

Pecans

The others have missing combinations.

Step-by-step explanation:

The ONE  solution to this system of two lines is the point where the two lines cross   at   (1,4)

It will take 6000 minutes / 100 Hours / 4.2 Days for you to reach your goal

The given parameters are

1.25 points = 1.5 minutes

For 5000 points, we use the following equation

5000 points = x minutes

So, we have

5000 points = x minutes

1.25 points = 1.5 minutes

Cross multiply in the above equation

So, we have

x * 1.25 = 5000 * 1.5

Divide both sides of the above equation by 1.25

So, we have

x * 1.25/1.25 = 5000 * 1.5/1.25

Evaluate the quotients in the above equation by 1.25

So, we have

x = 5000 * 1.2

Evaluate the products in the above equation by 1.25

So, we have

x = 6000 minutes

Convert to hours

x = 100 hours

Convert to days

x = 4.2 Days

Hence, it will take 6000 minutes / 100 Hours / 4.2 Days for you to reach your goal

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A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

3

x

−

4

y

+

15

=

0

.

y

=

3

4

x

−

1

2

Correct answers 5.4

Distance from point (2,3) to the line 3x+4y+9=0

=>r=

3

2

+4

2

∣3(2)+4(3)+9∣

=>r=

9+16

∣16+12+9∣

=>r=

5

27

=>r=5.4

Answer:

b

Step-by-step explanation:

Answer:

its B i took the test

Step-by-step explanation:

Answer:

1/2 is the same number as 0.5, so (1/2)% is the same as 0.5%. “Percent” means “per 100”, so 50% = 50/100 = 1/2. (1/2)% = (1/2)/100 = 1/200. In other words, 50% is the same as 1/2, but is not the same as (1/2)%.

Step-by-step explanation: