A cream is sold in a 34-gram container. The average amount of cream used per application is 1 and two ninths grams. How many applications can be made with the container?

Answer:

[tex] x+y = 125[/tex]   (1)

[tex] 5x+8y = 775[/tex]   (2)

We can solve for y from equation (1) and we got:

[tex] y = 125-x[/tex]   (3)

And replacing (3) into (2) we got:

[tex] 5x +8(125-x) = 775[/tex]

And solving for x we got:

[tex] 1000-3x = 775[/tex]

[tex] 3x= 225[/tex]

[tex] x=75 [/tex]

And solving for y from (3) we got:

[tex] x= 125-75 =50[/tex]

And the solution would be x = 50 and y =75

Step-by-step explanation:

For this problem we have the following system of equations:

[tex] x+y = 125[/tex]   (1)

[tex] 5x+8y = 775[/tex]   (2)

We can solve for y from equation (1) and we got:

[tex] y = 125-x[/tex]   (3)

And replacing (3) into (2) we got:

[tex] 5x +8(125-x) = 775[/tex]

And solving for x we got:

[tex] 1000-3x = 775[/tex]

[tex] 3x= 225[/tex]

[tex] x=75 [/tex]

And solving for y from (3) we got:

[tex] x= 125-75 =50[/tex]

And the solution would be x = 50 and y =75

Answer:

D

Step-by-step explanation:

It is a trinomial with a degree of 3.

This is the correct answer on the exam.

Mensuration:

Mensuration is the branch of mathematics which concerns itself with the measurement of Lengths, areas & volume of different geometrical shapes or figures.

Plane Figure: A figure which lies in a plane is called a plane figure.

For e.g:  a rectangle, square, a rhombus, a parallelogram, a trapezium.

Perimeter:

The perimeter of a closed plane figure is the total length of its boundary.

In case of a triangle or a polygon the perimeter is  the sum of the length of its sides.

Unit of perimeter is a centimetre  (cm), metre(m) kilometre(km) e.t.c

Area: The area of the plane figure is the measure of the surface enclose by its boundary.

The area of a triangle are a polygon is the measure of the surface enclosed by its sides.

A square centimetre (cm²) is generally taken at the standard unit of an area. We use square metre (m²) also for the units of area.

Circumference of a circle is the perimeter of a circle.

In a circle the radius is half of the diameter.

The approximate value of π( Pi) is= 22/7 

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Answer:

3 <1<4<2

hope it worked

pls mark me as

BRAINLIEST

plss

Answer:

3>1>2>4

Step-by-step explanation:

Answer:

26 and 11

Step-by-step explanation:

When your add them you get 37, and when you multiply 26 by two you get 52. 52-11 is 41.

Answer:

Step-by-step explanation:

If you take 10 percent of a number and get 35, then what is that number?

In other words, you know that 10 percent of a number is 35 and you want to know what that initial number is.

To solve this problem you multiply 35 by 100 and then divide the total by 10 as follows:

(35 x 100) / 10

When we put that into our calculator, we get the following answer:

350

Therefore, you can derive that 10 percent of 350 equals 35.

Answer:

a)0.7 is greater than>0.52

b)0.52 is greater than>0.045

c)0.49 is less than<0.94

d)0.302 is greater than>0.23

e)0.9 is greater than>0.6

f)2.36 is less than<3.19

Answer:

Starcraft

a) Probability of losing at most 2 games = 33%

b) Probability of winning at least 4 games = 67%

Step-by-step explanation:

a) To lose 2 out of 6 games, the probability is 2/6 x 100 = 33.333%

b) To win at least 4 games out of 6, the probability is 4/6 x 100 = 66.667%

c) Since Serral is playing 6 games, for her to lose at most 2 of the games is described as a probability in this form 2/6 x 100.  This shows the chance that 2 of the games out of 6 could be lost by Serral.  On the other hand, the probability of Serral winning at least 4 of the 6 games is given as 4/6 x 100.  It implies that there is a chance, 4 out of 6, that Serral would win the game.

Answer:

Graph A.

Step-by-step explanation:

Answer:

(D) 56

Step-by-step explanation:

x/y = 2/7

x = 2/7 y

S = x + y

S = 2/7 y + y

S = 9/7 y

y is a multiple of 7, so S is a multiple of 9.

So S cannot be 56.

Answer: min = 12, Q1 =17,  median =23.5 , Q3 = 30, max = 37 .

Step-by-step explanation:

The five-number summary for this data set consists  of  min, Q1,

median, Q3, max.

Given data: 12, 15, 17, 20, 22, 25, 27, 30, 33, 37, which is already arranged in a order.

Minimum value = 12

Maximum value = 37

since , number of observations = 10 (even)

So , Median = Mean of middle most terms

Middle most terms = 22, 25

Median =[tex]\dfrac{22+25}{2}=23.5[/tex]

First quartile ([tex]Q_1[/tex])= Median of first half ( 12, 15, 17, 20, 22)

= middle most term

= 17

Third quartile ([tex]Q_3[/tex]) = Median of second half (25, 27, 30, 33, 37)

= middle most term

= 30

Hence, five-number summary for this data set :

min = 12, Q1 =17,  median =23.5 , Q3 = 30, max = 37 .

Answer:

-4

Step-by-step explanation:

give me brainliest please

Answer: x= 4.25 y= 12.75

Step-by-step explanation:

Before we can find any of the three items mentioned, we need the height. The diameter is 10, so the radius is 5. A right triangle with hypotenuse 13 and leg 5 forms. The height is h. Use the pythaogrean theorem to solve for h

5^2+h^2 = 13^2

25+h^2 = 169

h^2 = 169-25

h^2 = 144

h = sqrt(144)

h = 12

The height is 12. We now have enough info to find the volume, the lateral area and surface area.

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

Volume

V = (1/3)*pi*r^2*h

V = (1/3)*3.14*5^2*12

V = 314 cubic cm

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

Lateral Area

LA = pi*r*L

LA = 3.14*5*13

LA = 204.1 square cm

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

Surface Area

SA = 2*pi*r + pi*r*L .... note how we add on the lateral area to the bottom circular area

SA = 2*3.14*5 + 3.14*5*13

SA = 235.5 square cm

Answer:

18.8 cubic inches

Step-by-step explanation:

1. Solve for the volume of Cup A. (volume of a cone = 1/3πr² · h)

1/3 · 3.14 · 1² · 3 = 3.14 in³

2. Solve for the volume of Cup B (volume of a cylinder = πr² · h)

3.14 · 1² · 7 = 21.98 in³

3. Subtract the volume of Cup A from Cup B

21.98 - 3.14 = 18.84

4. Round 18.84 to the nearest tenth

18.84 → 18.8 in.³

Answer:

18 .8

Step-by-step explanation:

got it right on test

Answer:

The answer is option B

Step-by-step explanation:

To solve for x we use tan

tan ∅ = opposite / adjacent

From the question

The adjacent is x

The opposite is 19

So we have

tan 29 = 19/ x

x = 19/ tan 29

x = 34.276

Hope this helps

Answer:

x ≈ 34.28

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan29° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{19}{x}[/tex] ( multiply both sides by x )

x × tan29° = 19 ( divide both sides by tan29° )

x = [tex]\frac{19}{tan29}[/tex] ≈ 34.28 ( to the nearest hundredth )

Answer:

A.y = −8x + 80B

Step-by-step explanation:

first you have to find the slope :

P1(2,64). P2(6,32)

slope=Y2-Y1/X2-X1

slope=64-32/2-6

slope= -8

y= -8x + b. now solve for "b" by using one of the coordinates given above.

y= -8x + b. I will use coordinate p(2,64)

64= -8(2) + b

64 + 16 = b

80= b

you can use any of the coordinates i.e either P1(2,64)or P2(6,32) it doesn't affect the value of "b".

line of equation is :

.y = −8x + 80B

Answer: y= -8x+80

Step-by-step explanation:

Answer:

[tex]\boxed{x = 8}[/tex]

Step-by-step explanation:

For NO ║ KJ, The two triangles must be similar and their sides must be proportional.

So, the proportion of their sides is:

=> [tex]\frac{x-4}{x} = \frac{x-3}{x+2}[/tex]

Cross Multiplying

[tex]\sf x (x-3)= (x-4)(x+2)\\Multiplying\\x^2-3x = x^2+2x-4x-8\\x^2-3x = x^2-2x-8\\Subtracting\ x^2\ to \ both \ sides\\ -3x = -2x -8\\Adding \ 2x\ to\ both\ sides\\-3x+2x = -8\\-x = -8\\[/tex]

x = 8

So, For x = 8, NO will be parallel to KJ.

Answer:

s = 0     OR     s = 2

Step-by-step explanation:

=> [tex]-s^2+2s = 0[/tex]

=> [tex]-s(s-2)=0[/tex]

So, Either:

=> -s = 0   OR    s-2 = 0

=> s = 0     OR     s = 2

Answer:

s=0,2

Step-by-step explanation:

-s^2+2s=0

Factor out -s

-s ( s-2) =0

Using the zero product property

-s =0  s-2 =0

s=0   s=2

Answer: x= - 4/3 and x = 4/3

Step-by-step explanation:

(3x-4) times (3x+4) = 0

Answer:

0.31 ft/s

Step-by-step explanation:

The volume of a cone is given by the formula:

V = πr²h/3

From the question, we are given the diameter and the height to be equal, thus;

r = h/2

Putting h/2 for r into the volume equation, we have;

V = (π(h/2)²h)/3

V = πh³/12

Using implicit derivatives,we have;

dV/dt = (πh²/4)(dh/dt)

From the question, we want to find out how fast is the height of the pile increasing. This is dh/dt.

We have;

dV/dt = 35 ft³/min and h = 12ft

Plugging in the relevant values, we have;

35 = (π×12²/4)(dh/dt)

dh/dt = (35 × 4)/(144 × π)

dh/dt = 0.3095 ft/s ≈ 0.31 ft/s

Answer:

-10

-5 * 2 = -10

Hope this is right

Answer:

D

Step-by-step explanation:

You can test this out with a number.

try dividing 23 by 8:

you will get 2 remainder 7 which works for the condition.

Note: Whenever you divide a number by x(other number) the remainder will always have to be to less than x:

The only one that applies to this aforementioned condition is 8.

Answer:

D

Step-by-step explanation:

The remainder can never be greater than the number by which it is divided

For example:

n = any number

n / 2 -> The remainder will never be greater than 2 (0 < remainder <2)

n / 3 -> The remainder will never be greater than 3 (0 < remainder <3)

n / 4 -> The remainder will never be greater than 4 (0 < remainder <4)

n / 5 -> The remainder will never be greater than 5 (0 < remainder <5)

n / 6 -> The remainder will never be greater than 6 (0 < remainder <6)

..... etc

Answer:

upper box is 0

middle box is 3 and

the downer box is 6

Step-by-step explanation:

Have a nice day

Answer:

Step-by-step explanation:

[tex](2, 1) (5, 3)\\x_1 =2 \\y_1 =1\\x_2=5\\y_2 =3\\m =\frac{y_2-y_1}{x_2-x_1} \\\\m = \frac{3-1}{5-2} \\\\m = 2/3[/tex]

Answer:

[tex]A = A_c-A_t=4\pi -8=4.5664cm^2[/tex]

Step-by-step explanation:

The area of the shaded region can be calculated as the area of the semicircle less the area of the right triangle.

The area of the right triangle can be calculated as:

[tex]A_t=\frac{b*h}{2} =\frac{LM*MN}{2}[/tex]

Where LM and MN have the same length because the internal angles are L=45°, M=90°, and N=45°. So the area is:

[tex]A_t=\frac{4*4}{2}=8[/tex]

The diameter of the circle can be calculated using the Pythagorean theorem as:

[tex]D=\sqrt{(LM)^2+(MN)^2} =\sqrt{4^2+4^4}=4\sqrt{2}[/tex]

So, the radius is [tex]r=2\sqrt{2}[/tex]

Finally, the area of the semicircle is:

[tex]A_c=\frac{\pi*r^2 }{2}=\frac{\pi*(2\sqrt{2})^2 }{2}=4\pi[/tex]

So, the area of the shaded region is:

[tex]A = A_c-A_t=4\pi -8=4.5664cm^2[/tex]

Answer:

Step-by-step explanation:

Since the shape is a cube of side 20cm, then all the side of the cube will be 20cm since all the side of a cube are all equal.

The shortest path the ant can be take is to first travel along the diagonal of the square from point A to the other edge on the front face and then move to point B on its adjacent side on a straight line.

To get the total distance he will take, we will first calcuate the value of the diagonal distance of the square face using pythagoras theorem as shown.

hypotenuse² = opposite² + adjacent²

The opposite = adjacent = 20cm

The hypotenuse is the length of the diagonal that we need.

hyp² = 20²+20²

hyp² = 400+400

hyp² = 800

hyp = √800

hyp = 28.28 cm

The length of the diagonal is 28.28 cm.

Afterwards, the ant will move 20cm to point B from the stopping point.

Total distance will be 28.28 + 20 = 48.28 cm

Answer:

Step-by-step explanation:

First, note this parameters from the question.

We let x = number of $5 increases and number of 10 decreases in plates sold.

Our Revenue equation is:

R(x) = (300-10x)(10+5x)

We expand the above equation into a quadratic equation by multiplying each bracket:

R(x) = 3000 + 1500x - 3000x - 1500x^2

R(x) = -1500x^2 - 1500x + 3000 (collect like terms)

Next we simplify, by dividing through by -1500

= 1500x^2/1500 - 1500x/1500 + 3000/1500

= X^2 - x + 2

X^2 - x + 2 = 0

Next, we find the axis of symmetry using the formula x = -b/(2*a) where b = 1, a = 1

X = - (-1)/2*1

X = 1/2

Number of $5 increases = $5x1/2 = $2.5

=$2.5 + $20 = $22.5 ticket price gives max revenue.

Answer:

A.50,000 units

B.62,500 units

C.Process A with a profit of $700,000 to maximize profit

Step-by-step explanation:

A.Calculation for the breakeven volume for Process A

Using this formula

Breakeven volume for Process A= Fixed cost/(Sales per units-Variable cost per units)

Let plug in the formula

Breakeven volume for Process A=500,000/(35-25)

Breakeven volume for Process A=500,000/10

Breakeven volume for Process A=50,000 units

B.Calculation for the breakeven volume for Process B

Using this formula

Breakeven volume for Process B= Fixed cost/(Sales per units-Variable cost per units)

Let plug in the formula

Breakeven volume for Process B=750,000/(35-23)

Breakeven volume for Process B=750,000/12

Breakeven volume for Process B=62,500 units

C. Calculation for what the company should do if the total demand (volume) is 120,000 units

Using this formula

Profit=(Total demand*(Sales per units-Variable cost per units for Process A)- Process A fixed cost

Let plug in the formula

Profit =120,000*($35-$25)-$500,000

Profit=120,000*10-$500,000

Profit=1,200,000-$500,000

Profit= $700,000

Therefore If total demand (volume) is 120,000 units, then the company should select Process A with a profit of $700,000 to maximize profit.