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1) To find each unit price, let's find out the unit rate. Setting a proportion.

Option A

cupcakes price

12 ------------------- 29

1 --------------------x

Cross multiplying it:

12x = 29 Divide both sides by 12

x =2.42

Each cupcake costs $ 2.42

Option B

24 ------------ 56

1 ------------ y

24y = 56

y =$2.33 per cupcake.

2) The best deal for buying cupcakes is found in Option B. Since the price is lower per cupcake

3) Hence, the answers are:

Option A = $2.42 per cupcake

Option B =$2.33 per cupcake

Best Deal: Option B

The rational number represented by the letter D is -43/100 and by the letter R is -46/100.

What is rational number?

A rational number is one that can be written as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.

Here the number line is divided into 10 division with equal distance.

Each division is of the distance 0.01

So, the decimal number represented by letter D is -0.43 and by the letter R is -0.46.

To convert decimal number into rational number,

-0.43 = -43/100

-0.46 = -46/100

Therefore, the rational number represented by each letter on the number line as a decimal are D = -43/100 and R = -46/100.

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Given

Procedure

The answer would be (x+4)^2 = 25

The total track lap time of the runner is 4 11/15 and it has been written as a mixed number or a fraction in lowest terms.

Mixed fraction:

The fraction represented with its quotient and remainder is known as mixed fraction.

Given,

A runner has a track lap time of 3 minutes while at a run, 5 minutes while at a jog, and 7 minutes while at a walk. If 2/5 of the lap is paced at a run, 1/2 at a jog, and 1/10 at a walk.

Here we need to find the total track lap time of the runner.

Here we can compute the Total Lap Time by multiplying each fraction by its associated lap time, then we get,

   Run Lap Time = (2/5)(3) = 6/5 minutes

   Jog Lap Time = (1/3)(5) = 5/3 minutes

   Walk Lap Time = (4/15)(7) = 28/15 minutes

So, the total lap time is, written as,

   Total Lap Time = 6/5 + 5/3 + 28/15

Now, we have to make the fraction equal to each other,

=> (6x3)/(5x3) + (5x5)/(3x5) + (28 x 1)(15 x1)

=> 18/15 + 25/15 + 28/15  

=> (18 + 25 + 28)/15 = 71/15

Now, we have to convert this into mixed fraction then we get,

=> 71/15 = 4 11/15

Therefore, the total Lap Time is 4 11/15 minutes.

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The equation of line passing through two points (x_1,y_1) and (x_2,y_2) is,

Substitute the points in the equation to obtain the equation of line.

So equation of line is 3y+5x+21=0.

ANSWER

Yes

EXPLANATION

The system of inequalities shows that y is greater than or equal to the first line and less than or equal to the second line. This means that any point on both lines is a solution to the system.

Hence, the intersection of the boundary lines is part of the solution.

We know that

1 quarter gallon of paint ⇄ 1/12 wall

?? ⇄ 1 wall

Now we just divide both sides of the equivalence

We clear the equation in order to find the unkown value

EXPLANATION

Let's see the facts:

Inspect period = 10 flight hours

Flown= 3 flights/2.75 hours

Total flights hours = 3x2.75 = 8.25 hours

The difference is 10-8.25 = 1.75 hours.

We need 1.75 hours more before the next wing inspection.

Answer:

7.94117647059 Calories

Step-by-step explanation:

25 Calories = 85 Grams

25/85 = 0.294117647059

0.294117647059 = 1 Gram

0.294117647059 times 27 = 7.94117647059

We have the following:

The intersection with the x-axis is when the value of y is 0, that is, the computer already has a value of 0 and has no commercial value.

we found it like this

which means that in 10 years, the computer does not represent a commercial value

to calculate the number of years that have passed when the computer has a value of 2000, y = 2000, therefore we replace

This means that in a total of 5 years the value of the computer will be $ 2000

The cheese pizza is represented by 3 rectangles while the pepperoni pizza is represented by 1 rectangle.

Therefore, the ratio of cheese to pepperoni pizza is:

3 : 1

This means that if there are 3 cheese pizzas, then there will be 1 pepperoni pizza

Therefore, since they bought 12 cheese pizzas, it means that:

CCC + CCC + CCC + CCC = 12 cheese pizzas ( where C is cheese)

P + P + P + P = 4 pepperoni pizzas ( where P is pepperoni)

Thus, they bought 4 pepperoni pizzas

Step 1: Concept

Triangle SRT is an isosceles triangle with equal base angles a = b

Triangle TUV is an equilateral triangle with all angles equal: g = d = h

Step 2: Apply sum of angles in a triangle theorem to find angle a and b.

Step 3:

2) a = 70

3) b + c = 70 + 40 = 110

Step 4:

Since WT is a bisector of angle STV,

Angle f = e = x

b + f + e = 180 sum of angles on a straight line.

b = 70

70 + x + x = 180

2x = 180 - 70

2x = 110

x = 110/2

x = 55

Hence, f = 55

4) f = 55

5) f + b = 55 + 70 = 125

Step 5:

Since triangle TUV is an equilateral triangle, angle g = h = d = 60

g = 60

h = 60

d = 60

6) Angle a + d = 70 + 60 = 130

7) e + g = 55 + 60 = 115

Given :

The cost of 3 shirts and 5 sweaters is $99 .

The cost of 6 shirts and 4 sweaters is $90.

To determine :

The sweater cost and shirt cost each.

Explanation :

Let the shirt cost be x.

Let the sweater cost be y.

Then the equation formed is

Solve the equation 1 and 2 to find x and y with the help of elimination method.

Multiply by 2 in equation 1.

Solve equation 2 and 3 by subtraction,

The value of y is 18 and now substitute the value of y in equation 2 to find x.

The value of x is 3.

Answer :

The cost of shirt is 3 dollar .

The cost of sweater is 18 dollar.

We are given two coupons A and B. Coupon A gives a 60% discount on a $87 item. Let's calculate the amount to pay by subtracting 60% of 87. We do that by multiplying 87 by 60/100, like this:

Now we subtract this from the initial price, like this:

therefore, using coupon A she must pay $34.8

For coupon B there's a rebate of $55. We calculate the amount to pay by subtracting 55 to the total price of 87, like this:

Therefore, using coupon B she must pay $32.

Coupon B gives the lowest price, the price of coupon B compared to coupon A is calculated by subtracting both prices:

Therefore, with coupon B she pays $2.8 less than the price with coupon A.

The domain is all the values of the independent variable (in this case, x) for which the function is defined.

In this case, as it is indicated with the arrows in both ends, the function continues for greater and smaller values of x.

As there is no indication that for some value or interval of x the function is not defined (a discontinuity, for example), then it is assumed that the function domain is all the real values.

Example function:

We have the function y=1/(x-2)

We can look if there is some value of x that makes the function not defined.

The only value of x where f(x) is not defined is x=2. When x approximates to 2, the value of the function gets bigger or smaller whether we are approaching from the right or from the left.

Then, the function is not defined for x=2. So, the domain of f(x) is all the real numbers different from x=2.

The domain is, by default, all the real numbers, but we have to exclude all the values of x (or intervals, in some cases like the square roots) for which f(x) is not defined.

Solution:

Given that:

The x- and y-intercepts of a line with slope 2 passing through the point (1, 8) is x-intercept=(3,0) and y-intercept=(0,6) as defined "The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b)."

The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.

Here,

Let (x1, y1) = (1, 8) and m = 2.

Then, y - y1 = m(x - x1)

y - (8) = 2(x -1)

y-8= 2(x-1)

y -8 = 2x -2

y = 2x + 6

y=(0,6)

x=(3,0)

According to the definition "The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b)," the x- and y-intercepts of a line with slope 2 passing through the point (1, 8) are x-intercept=(3,0) and y-intercept=(0,6).

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Substitute arbitrary values of x for which -10 < h(x) < 10.

In this instance, we can use x = 1, and x = -1

Therefore, the points that fits in the grid in the function h(x) are (1, -0.625) and (-1, 0.625).

Given

Joshira can create 1 item in 3/4 of an hour.

To find:

How many items can she create in 8 hours?

Explanation:

It is given that,

Joshira can create 1 item in 3/4 of an hour.

That implies,

Therefore, number of items created in 8 hours is,

Hence, she can create 10 2/3 items in 8 hours.

Given

The number of fence post is 12.

The dimension of each fence post is 8ft tall and 1ft diameter.

To find: How much paint is needed to paint all the surfaces of the 12 fenceposts.

Explanation:

It is given that,

The number of fence post is 12.

The dimension of each fence post is 8ft tall and 1ft diameter.

Therefore,

The fencepost is cylindrical in shape.

Then, the total surface area of the cylinder is,

That implies,

Hence, the required quantity of paint is 320ft^2.

Answer:

Rate of change = -3

Explanation:

Given the equation:

When x=1

When x=2

Observe that the value of y decreases by 3 as the x increases by 1.

Thus, the rate of change is -3.

Alternate Route

Another way is to express and compare the line with the slope-intercept form:

The rate of change is the coefficient of x.

Coefficient of x = -3

Thus, the rate of change is -3.

Answer:

The coordinates of P is;

Explanation:

Given that;

Point A is located at (7, -3) and point M is located at (-9,5).

And;

M is the midpoint of segment AP.

The coordinate of P will be represented by;

Using the formula for calculating midpoint;

Making x2 and y2 the subject of formula;

So, substituting the given coordinates;

So, we have;

And;

Therefore, the coordinates of P is;

SOLUTION

We want to solve the question below

We can see that a matrix was subtracted from another. In Addition or subtraction of matrix, we just add or subtract the element. So

We have in the first row

And

Hence x = -15 and y = 15, the first option is correct

Using mathematical operations, we can conclude that the volume of the larger box is approximately 2,800 in³.

So, in the image, we can observe that the large box contains 6 boxes of cereals in front and possibly 8 boxes of cereals at the back.

Then, the volume of the larger box can be:

Therefore, using mathematical operations, we can conclude that the volume of the larger box is approximately 2,800 in³.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

score:

mean = 76

standard deviation = 12

Step 02:

probability:

normal distribution:

normal distribution diagram:

mean + 1 standard deviation = 76 + 12 = 88

probability (class average score is above 80):

p (score > 80) = 34% + 13.5% + 2.4% + 0.1% = 50% = 0.5

The answer is:

p (score > 80) = 50% = 0.5

we know that

In this problem

that means

hello

to solve this question we need to know or understand the standard form of a linear equation

the standard form of a linear equation is given as

from the options given in the question, only option D does not corresponds with the standard form of a linear equation