owes $56 for tickets to the school play. If each ticket cost $4, how many tickets did she buy?4 −pound bags. How many pounds of potting soil does Marianne buy?

Answer:

4 1/6

Step-by-step explanation:

Dave eats 3 3/6

Daisy eats 4/6

Together they eat 3 1/6

First you have to make it to a common denominator for Dave and Daisy. then you add the fractions.

4 full pizzas plus 1/6 of a pizza

i.e. 4 full pizzas plus one extra slice

======================================================

Explanation:

1/2 = 3/6

2/3 = 4/6

The fractions add to 1/2 + 2/3 = 3/6 + 4/6 = 7/6 = 1 & 1/6

That first "1" is the carry and it adds to the 3 whole pizzas Dave ate. So we have 3+1 = 4 full pizzas consumed, plus an additional 1/6 of a pizza.

This gives the mixed number 4 & 1/6

Check out the diagram below. I show Dave's slices in blue, and Daisy's slices in pink for the first two rows. The third row is the combination of those slices to get 4 full pizzas and 1 extra slice (to represent that extra 1/6). Let me know if you have questions about the diagram, or the steps in general.

Answer:

1/48 should be added.

Step-by-step explanation:

If you add 9/16 to -7/12 you will get -1/48. Then do -7/12 + 1/48 and it will give you 9/16.

The likelihood of any two different face values occurring exactly twice is 0.0475.

Describe probability using an example?

Two pairs

two pairs = 13C2 *4C2 * 4C2 * 11C1 * 4C1 = 123552

P( two pairs) = 123552/2598960 = 0.0475

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The complete question is -

In a poker game, five cards are dealt at random from an ordinary deck of 52 playing cards. Find the probability of gettingtwo pairs (any two distinct face values occurring exactly twice)

The standard deviation is a measure of a collection of values' variance or dispersion. The correct option is C, standard deviation.

The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

Shifting data, by adding a constant to each data value, do not change the standard deviation. This is because the standard deviation is a measurement of how much a group of values varies or is dispersed.

Hence, the correct option is C, standard deviation.

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The solution of the equation for h is H = 2a/(B1 + B2)

Expressions are mathematical statements that are represented by variables, coefficients and operators

The equation is given as

a=H(B1 + B2)/2

The above means that the variable h is represented by the variable H

Multiply both sides of the equation by 2

So, we have

2a = H(B1 + B2)

Divide both sides of the equation by (B1 + B2)

H = 2a/(B1 + B2)

Hence, the solution of the equation for h is H = 2a/(B1 + B2)

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The different expressions to represent three groups of five are 3 * 5, 5 + 5 + 5 and 3 + 3 + 3 + 3 + 3

The mathematical statement is given as:

three groups of five

The statement three groups of five means

Three multiplied by 5

i.e. 3 * 5

This can also be written as

5 + 5 + 5

Also, it can be expressed as

3 + 3 + 3 + 3 + 3

Hence, the different expressions to represent three groups of five are 3 * 5, 5 + 5 + 5 and 3 + 3 + 3 + 3 + 3

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Answer:

193.0 mph

Step-by-step explanation:

The average is defined as the sum of the items divided by the number of items.  In this case the sum is 771.888.  If we divide that by the number of items (4) we get 192.972.  However, our answer typically cannot have more significant digits than the element having the least number of significant digits.  Since one of the numbers has only one digit to the right of the decimal point, we would usually want to round our answer to one place as well.  So 192.972 will round to 193.0.

Answer:

Step-by-step explanation:

Look at the File I attached. The Question says that a car travels 76 km north then 25 km east. Now think of this as the Right angled triangle I attached in the file.

a) Bearing from the staring point to the means the degrees of the part i marked with a question mark.

Now SOH CAH TOA

76 km is the ADJACENT

25 km is the OPPOSITE

and x is the HYPOTENUSE

We have the values of the ADJACENT and the OPPOSITE.

Now see which rule has both, It is TOA(tan rule) which is:

tan(y) = OPPOSITE/ADJACENT     (y is the degrees we will get)

tan(y) = 25/76  ( opposite of the degree we need is 25 and adjacent is 76)

tan inverse(25/76) = y  (inverse will be given as to the power -1 on the calculator)

FINAL ANSWER OF (a) = 18.21°

b) This part is asking for the length of the hypotenuse, which i denoted as x in the attached file.

For this part, you will use the Pythagoras Theorem

Which is :

   a² + b² = c²

Where c is the hypotenuse and a and b are the opposite and adjacent.

So

    76² + 25² = x²

     6401 = x²

  √6401 = x

     x = 80.01

The number of bills received by brady family are 781.

A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable with the form an x + b = 0 are solved utilizing basic algebraic operations.

Let x equal the number of letters obtained,

(x - 3) equal the number of bills obtained,

(x + 5) equal the number of advertisements received, and also

the number of magazines did receive is also given (x - 3).

The following equation can be derived:

x + (x - 3) + (x + 5) + (x - 3) = 3131

4x - 1 = 3131

4x = 3132

x = 784

Thus, number of bills received are-

(x - 3) = 784 - 3

number of bills received = 781.

Therefore, the number of bills obtained by brady family are 781.

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Answer:

f(-7) = -15

g(-3) = 27

Step-by-step explanation:

We see that the functions defined are:

f(x) = 2x - 1

AND

g(x) = 2x^2 - 3x

This problem asks to find f(-7) and g(-3). To find this, we have to plug the respective numbers into the respective functions.

f(-7) = 2 (-7) - 1

f(-7) = - 14 - 1

f(-7) = -15

g(-3) = 2(-3^2) - 3(-3)

g(-3) = 2(9) + 9

g(-3) = 18+9

g(-3) = 27

FINAL ANSWER: f(-7) = -15, g(-3) = 27

DG = 60

Therefore,[tex]4x - 3 + 2x + 21 = 60[/tex]

→[tex]6x+18 = 60 \\ 6x = 60 - 18[/tex]

→[tex]6x = 42[/tex]

Divide both sides by 6

→[tex]x = 7[/tex]

DO =[tex]4x - 3 [/tex]

→[tex]4(7) - 3 \\ 28 - 3[/tex]

DO [tex]= 25[/tex]

OG [tex]= 2x + 21[/tex]

→[tex]2(7) + 21 \\ 14 +21[/tex]

OG [tex]= 35[/tex]

Therefore:

[tex]x = 7[/tex]

[tex]DO = 25 ft[/tex]

[tex]OG = 35 ft[/tex]

Answer:

There are 160 boys and 200 girls

Step-by-step explanation:

its a proportion

Answer is

(a) She can buy 7 packages of plain coffee or 5 packages of coffee.

(b) f = [tex]\frac{T- 5.50 p}{7}[/tex]

(c) she can buy 3 packages of  flavoured coffee

(a) she spent on coffee is $ 40

amount of money she spends on coffee is 5.50

then, packages of plain coffee = [tex]\frac{40}{5.50}[/tex] ≈ 7.2

      so she buy 7 packages of plain coffee.

she spent on coffee is $ 40  and amount spends on flavoured coffee is 7

then , packages of flavoured coffee = [tex]\frac{40}{7}[/tex] ≈ 5.7

so she can buy 5 packages of flavoured coffee.

(b)According to question ,

T = 5.50 + 7f

so 7f = T - 5.50

then , f = [tex]\frac{T - 5.50}{7}[/tex]

(c) we get the value of f = [tex]\frac{T - 5.50}{7}[/tex]

given that , f is equal to 3

then,  f = [tex]\frac{T - 5.50}{7}[/tex]

           =   [tex]\frac{T - 5.50}{7}[/tex]×3

we get   =  [tex]\frac{T - 16.5}{7}[/tex]

when T is equal to 40

then , f = [tex]\frac{40 - 16.5}{7}[/tex] ≈ 3.35

so she can buy 3 packages of flavoured coffee.

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The indicated function value is f(6²) = -72

The function definitions are given as

f(x) = -2x

g(x) = 2x+ 5

h(x) = x^2 + 3x - 10

The function f(6²) means that x = 6² in f(x)

So, we have

f(6²) = -2(6²)

Evaluate

f(6²) = -72

Hence, the indicated function value is f(6²) = -72

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Answer:

B. y = -1/4x + 2

Step-by-step explanation:

The slopes of two perpendicular lines are negative reciprocals of each other. So slope is -1/4

Using m = -1/4, y =4, x = -8

y = mx + b

4 = -1/4(-8) + b

4 = 2 + b

b = 2

so y = -1/4x + 2

1234567890123456789012345678901234567890

a) Shelly Lemony's down payment is $24,000.

b) The loan amount is $96,000.

c) The monthly payment is $8,350.89.

d) The finance charge is $4,210.68.

The down payment represents the initial up-front partial payment for the purchase of the equipment on loan.

The down payment reduces the cost of the equipment to the loan amount.  Finance companies demand a down payment to ascertain the buyer's willingness and ability to proceed with the loan arrangement.

It is a sign of commitment to meet the loan contract obligations.

Monthly Pay:   $8,350.89

Total Loan Amount = $96,000.00

Upfront Payment $24,000.00

Equipment loan = $120,000

Number of periods = 12 months

APR = 8%

Total of 12 Loan Payments = $100,210.68

Total Loan Interest = $4,210.68

Total Cost (price, interest, tax, fees) = $124,210.68

Thus, Shelly will make a down payment of $24,000 or 20% of the equipment loan.

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The exponential smoothing forecast for next period is 63.2.

A time series forecasting technique called exponential smoothing can be expanded to support data with a systematic trend or seasonal component.

Now,

Given:

To find: Simple exponential smoothing forecast with α = 0.4 for next period.

Finding:

Now, by the concept of exponential smoothing, forecast for next period will be given by:

Ft + 1  = α Dt + (1 - α)F,

where,

Ft+1 = the next forecast,

α = weighing factor,

Dt = actual value for this period,

F = forecast value for the current period,

Substituting the values in the above expression:

=> Ft + 1 = 0.4 (65) + (1 - 0.4) 62

=> Ft + 1 = 26 + 37.2

=> Ft  + 1 = 63.2

Hence the exponential smoothing forecast for next period is 63.2.

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Answer:

a = 10/3 and b = -196/51.

Step-by-step explanation:

4a + 2b - 12ax + 15b = -40x - 52

Equating coefficients of x:

-12ax = -40x

-12a = -40

a = 40/12

  = 10/3.

Equating constants:

4a + 2b + 15b = -52

4a + 17b = -52

Substituting a = 10/3:

40/3 + 17b = -52

17b = -52 - 40/3

b = (-52 - 40/3) / 17

  = (-156/ 3 - 40/3) / 17

  = -196 / 51

By rearranging the formula using algebraic operations, the value of x is [tex]\frac{y}{4}[/tex] - 1.

When operations like addition, subtraction, multiplication, division, etc. are performed on variables and constants, the result is a mathematical statement known as an algebraic expression.

To find the value of x, use the same operations on both sides of the equation.

For making x the subject  

Divide by 4 on both sides

[tex]\frac{y}{4}[/tex] = (x-1)

On both sides of the equation, add 1.

[tex]\frac{y}{4}[/tex] - 1 = x

As a result, by rearranging the equations, the value of x is [tex]\frac{y}{4}[/tex] - 1.

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160.55 is  the difference. i underlined each number i added on each line.

What is an linear equation in math?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

The two numbers are 15.75 and 176.3

First we will compare the numbers.

1. A=176.3

2. B=15.75

one's place of A is greater than once place of B.

tens place of A is greater than tens place of B.

Hundred place of A is greater than hundred place of B.

So, A>B

So  we will subtract 15.75 from 176.3.

176.30 -15.75=

176.30     ----A

- 1 5.75     ----B

Hundreths place of A - Hundreths place of B =  0-5=10-5=5

Tenth place of A  - Tenth place of B =12-7=5

ones place of A - ones place of B=5-5=0

Tens place of A - Tens place of B =7-1=6

So the solution is 160.55

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The scale used by Wyatt is; 11 inches : 4 yards.

Now, for the given values in question.

For the area of picnic is 84 yards.= long.

The length in the drawing is 31 inches.

Let the scale for yards is 'x'.

Then;

231 inches: 84 yards = 11 inches: x yards

Write in the fraction form,

231/84= 11/x

Cross multiplying;

x = (11×84)/231

x = 4

Thus, scale becomes; 11 inches : 4 yards.

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Answer:

32

Step-by-step explanation:

There is nothing this but the answer is 32.

Answer:

Step-by-step explanation:

We need to remove either (1, 4) or (1, 1) to create a function.

Relations are formed by two sets, an input set known as domain and an output set known as range and relationships between these sets. A relation is a function if and only if each element from domain is related to only one element of the range. Mathematically speaking, we must satisfy the following proposition:

x → f(x), x → f'(x) ⇒ f(x) = f'(x)

Based on this definition, there are two possibilities to create a function:

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1,3 is the answer I believe. :)

The rate of change for each set of ordered pairs is:

a. 1/2

b. 3

c. 7

The average rate of change = change in y / change in x.

Average rate of change for (2,3.5), (6,5.5):

Average rate of change = (5.5 - 3.5)/(6 - 2) = 2/4 = 1/2

Average rate of change for (-1,0), (0, 3):

Average rate of change = (3 - 0)/(0 - (-1)) = 3/1 = 3

Average rate of change for (3,-3), (4,4):

Average rate of change = (4 -(-3))/(4 - 3) = 7/1 = 7

Therefore, the rate of change for each set of ordered pairs is:

a. 1/2

b. 3

c. 7

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Answer:

4c + 35

Step-by-step explanation:

What every the monthly amount is (c) you would multiply that by 4 to find the cost for 4 months and then you have to add in the one time cost of 35

Answer:

18 gallons

Step-by-step explanation:

Start with x gallons of 70% juice and 18 gallons of 30% juice.

Result: x + 18 gallons of 50% juice

0.7x + 0.3 × 18 = (x + 18)(0.5)

0.7x + 5.4 = 0.5x + 9

0.2x = 3.6

x = 18

Answer: 18 gallons