A man buys eggs at GH 4.50 per crate of 30 eggs. He finds that 20% of the eggs are broken but sells the rest at GH¢ 3.00 a dozen. Find his percentage profit to the nearest whole number.​

Answer: b and d

Step-by-step explanation:

What are the measures of angles B and D? A. ∠B ... The perimeter of parallelogram ABCD is 46 inches. ... What is the measure of angle O in parallelogram LMNO? ... Consider the diagram and proof below. ... Rectangle PQRS is shown with its diagonals, PR and QS. ... Which equation can be used to find the measure of ?

The graph of the given linear equation is the one that you can see below.

To graph lines, we need to get two points on the line. To get the points, we can evaluate the line in two different values of x. Here I will use x = 1 and x = 0.

For x = 0 we have:

y = 15 - 4*0 = 15

So we have the point (0, 15).

For x = 1 we have the point:

y = 15 - 4*1 = 11

So we have the point (1, 11).

Now we need to graph these two points and connect them with a line, you will get the graph that you can see below.

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Answer:

16

Step-by-step explanation:

80maths

due in 5 days

do same # every day, x problems

so she needs to do x= 80/5 =16 per day

Answer:

Karen: 15; Dale: 9; Tom: 60

Step-by-step explanation:

"Karen and Dale and Tom sent a total of 84 messages during the weekend."

k + d + t = 84

"Dale sent six fewer messages than Karen"

d = k - 6

"Tom sent four times as many as Karen."

t = 4k

Substitute k - 6 for d and 4k for t in the first equation.

k + d + t = 84

k + k - 6 + 4k = 84

6k - 6 = 84

6k = 90

k = 15

d = k - 6 = 16 - 6 = 9

t = 4k = 4(15) = 60

Answer: Karen: 15; Dale: 9; Tom: 60

The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.

From the given table;

The volume of the first gas Layla bought = 3 gallons.

The cost of the 3 gallons = 9.45

Therefore the cost of 1 gallon = ?

That is:

3 gallons = $9.45

1 gallon = X

Make X the subject of formula:

X = 9.45/3 = $3.15

Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.

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the correct answer is,

\(x = \frac{121}{25} \)

if you want me to solve without the parentheses then the answer would be,

\(x = \frac{1609}{100} \)

Answer:

What they said

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

444.50 * 6.5% = 28.89

444.50 + 28.89 = 473.39

Answer: 24

Step-by-step explanation:

To find the area of the composite figure, we need to find the area of the sector and the area of the triangle and then add them together.

Area of sector = (θ/360) * π * r^2, where θ is the angle of the sector in degrees, r is the radius of the circle.

The angle of the sector can be found by subtracting the angle of the triangle from 360 degrees. The radius of the circle can be found by dividing the length of the arc by the angle of the sector.

Length of the arc = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 4 = 4.19

Radius of the circle = 4.19/60 = 0.07

Angle of sector = 360 - 60 = 300 degrees

Area of sector = (300/360) * 3.14 * 0.07^2 = 0.0041

The area of the triangle can be found using the formula:

Area of triangle = (1/2) * base * height = (1/2) * 8 * 6 = 24

Therefore, the total area of the composite figure is:

0.0041 + 24 = 24.0041

Rounding to the nearest hundredth, the area of the composite figure is approximately 24.00.

Answer: 12 1/28

Step-by-step explanation:

Add whole numbers. Solve fractions by finding the LCD.

1/2 × bottom of triangle × the middle dotted line

Area is 1/2 × base × height

so you would do 1/2 × your base say its 12 then times it by 30 which would give you

1/2×12×30= 180

so what ever is the bottom number on the triangle is base and the dotted line down the middle is height

Hope this helps!

Answer:

d

Step-by-step explanation:

Answer:

y = |-x-1| + 8.

Step-by-step explanation:

A reflection across the y axis gives the equation y = |-x -1| + 7.

Then a translation up 1 unit gives the equation y = |-x-1| + 8.

Answer:

I only solved the first equation

a) x = 30

Step-by-step explanation:

a) \(log_4(2log_3(1+log_2(1+3log(x/3)))) = 1/2\\4^{1/2} = 2log_3(1+log_2(1+3log(x/3)))\\(2^{2})^{1/2} = 2log_3(1+log_2(1+3log(x/3)))\\\\2 = 2log_3(1+log_2(1+3log(x/3)))\\\\\\1 = log_3(1+log_2(1+3log(x/3)))\\\\\\\\3^1 = 1+log_2(1+3log(x/3))\\3 -1 = log_2(1+3log(x/3))\\\\2 = log_2(1+3log(x/3))\\\\\\2^2 = 1+3log(x/3)\\4 -1 = 3log(x/3)\\\\3 = 3log(x/3)\\\\\\1 = log(x/3)\\10^1 = x/3\\x = 30\)

Answer:

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mvhuiknbb5542698755

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8823

Answer:

Answer shown in image.. (btw we got the same chromebook)

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

3(x-2) =22 -x

Distribute

3x - 6 = 22-x

Add x to each side

3x+x-6 = 22-x+x

4x+6 = 22

Subtract 6 from each side

4x+6-6 = 22-6

4x= 16

Divide by 4

4x/4 = 16/4

x=4

There is one solution

Inequalities to support the questions

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Each factory operates for at most 12 hours each day.

let maximum profit by factory A be x and Factory B be y.

Then, Inequalities to support the questions

2x + y ≤ 12

and, 2x+ 3y ≤ 12

and, x ≥ 0, y ≥ 0

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The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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The vector diagram of the motorboat is depicted using vectors that travel south by 40 km and then 30 km east.

Diagrams with vectors are known as vector diagrams. That should be rather evident. But, asking about their utilisation is more intriguing. An arrow that depicts a quantity with both magnitude and direction is called a vector. The direction of the arrow reflects the direction, while the length of the arrow shows the magnitude (or size) of the quantity. The size of the vector arrow in a vector diagram indicates the magnitude of a vector quantity. The vector magnitude is constant if the arrow size is consistent from frame to frame in the vector diagram.

The vector diagram of the motorboat is depicted using vectors that travel south by 40 km and then 30 km east.

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Answer:

\(y=\frac{3}{4}x^2\)

Step-by-step explanation:

Hi there!

Because we're given the vertex of the parabola, we can determine its equation in vertex form:

\(y=a(x-h)^2+k\) where the vertex is \((h,k)\)

Plug in the vertex (0,0)

\(y=a(x-0)^2+0\\y=a(x)^2\\y=a(x-0)^2+0\\y=ax^2\)

Now, we must solve for a. Plug in the given point (-2,3) and solve for a:

\(3=a(-2)^2\\3=4a\\\frac{3}{4} =a\)

Therefore, the value of a is \(\frac{3}{4}\). Plug this back into \(y=ax^2\):

\(y=\frac{3}{4}x^2\)

I hope this helps!

Step-by-step explanation:

LCM is 36      HCF is 2

36/2 = 18

Answer:

4:3

Step-by-step explanation:

answer/explanation:

hope this helps

Step-by-step explanation:

the quotient of 10 is bigger than the quotient of 50

The quotient is greater when number is divided by 10.

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups.

Given,

Krisa divides a number by 10

Let the number be x

x/10 = y  

x = 10y                ------(1)

Same number is divided by 50

x/50 = z

x = 50z               --------(2)

By equation (1) and (2)

10y = 50z

y = (50/10)z

y = 5z

⇒ y > z

Hence, quotient when number divided by 10 is greater.

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The vertex is located at (h,k)

The two roots p and q can be defined as such

where r is the horizontal distance between the vertex and either root. We use the same r value for each equation because of symmetry. The diagram below shows what I mean.

Let's add up those two equations to get

p+q = 2h

The left hand sides p and q add to p+q. The right hand sides add to (h-r)+(h+r) = 2h. Note the r's cancel.

From here, we divide both sides by 2 and we end up with

h = (p+q)/2

In short, if we know the roots p and q, then we find the x coordinate of the vertex (h) to be the average of those roots. You add up the roots and then divide by 2.

After you figure out the value of h, finding the value of k will have us plug in this h value into the quadratic equation and simplifying.

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

Example:

Let's say we have the quadratic y = x^2 - 8x + 12. This factors to (x-2)(x-6)

Solving (x-2)(x-6) = 0 shows that x-2 = 0 becomes x = 2 and x-6=0 becomes x = 6.

So the roots here are p = 2 and q = 6. The order of the roots doesn't matter.

Averaging these roots gives us

h = (p+q)/2

h = (2+6)/2

h = 8/2

h = 4

The x coordinate of the vertex is x = 4.

Plug this back into the original equation to find...

y = x^2 - 8x + 12

y = (4)^2 - 8(4) + 12

y = 16 - 32 + 12

y = -16 + 12

y = -4

Or you could say

y = x^2 - 8x + 12

y = (x-2)(x-6)

y = (4-2)*(4-6)

y = (2)*(-2)

y = -4

Either way, we find that k = -4 is the y coordinate of the vertex

The vertex for this example is located at (h,k) = (4, -4)

Refer to the diagram below.