Please help I was sick and missed out on class.Thank you

Answer:

Step-by-step explanation:

Ok:

Flour:

2 1/4 cups/1/4c=

9 cups needed

Sugar:

1 7/4/1/4=

11 cups needed

Cocoa:

1 1/2/1/4=

6 cups needed

Oil:

1/2/ 1/4=

2 cups needed

Heavy Cream:

3 2/3/ 1/3=

11 cups needed

Butter:

1/1/3=

3 cups needed

Powdered Sugar:

5 1/3/1/3=

16 cups needed

Cocoa:

1/3/1/3( Sry if I read the 3 wrong because its blurry tell me and I will fix it!)=

1 cup needed

(a) The deposit that Kyla paid is $3000  

(b) the balance inclusive of the interest is $10080    .

In the question ,

it is given that ,

the price of the furniture set = $12000

Part (a)

percent of deposit that Kyla paid = 25% ,

that means the amount paid by Kyla as deposit = 25% of 12000

= 0.25 × 12000

= 3000

So , Kyla deposited $3000 .

Part (b)

the balance amount = price of furniture - amount deposited ,

the balance amount = 12000 - 3000

= 9000

and the rate of interest = 12% ,

So , the interest paid = 12% of balance amount

= 12% of 9000

= 0.12 × 9000

= 1080

So , the balance amount inclusive of interest = 9000 + 1080

= $10080

Therefore , (a) The deposit that Kyla paid is $3000  

(b) the balance inclusive of the interest is $10080    .

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The inequality to determine the number of days, d, it will take Katie to collect over 100 seashells is 34 + 12d > 100.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Let the number of days be represented by d.

In this case, Katie already has 34 seashells in her collection and each day, she finds 12 more seashells on the beach.

The expression will be:

34 + 12d > 100

Collect like terms

12d > 100 - 34

12d > 66

Divide

d > 66/12

d > 5.5

d > 6

The number of days is 6 days.

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Sheffield would get $5,704 in revenues to signify that there are 50 days left before the note matures and that the maturity amount must thus be deducted from the proceeds.

Given,

Maturity value = $5,760  

129 day note dated August 15

Sunshine's discount rate = 7%

We have to find the proceeds received by Sheffield Company;

Here,

Number of days that have passed since Note was issued is;

16 days in August

30 days in September

31 days in October

2 days in November

= 16 + 30 + 31 + 2

= 79 days

79 days have already elapsed out of the 129 so days left is;

= 129 - 79

= 50 days

Assuming a 360 day Calendar, Sheffield Company will receive;

= Maturity level - Discount Amount

= 5760 - (5760 × 7% × 50/360)

= 5760 - 56

= $5704

Sheffield would get $5,704 in revenues to signify that there are 50 days left before the note matures and that the maturity amount must thus be deducted from the proceeds.

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Answer: Graph 4  

Step-by-step explanation: Because "[z]" is greater than the absolute value of 1/2, any number that is not in between -1/2 and 1/2 is [z]. This is also known as an "or" statement for z can be greater than 1/2 "or" less than -1/2.

[Z]>1/2 (Given)

Plug-in points for "z":

[.25] =.25 & -.25   (subs prop of inequality)

-1/2 <.25 < 1/2 This is an "and" statement, where the line would overlap. So this solution is incorrect

Next, try another number

[1] = -1,1

-1/2<1>1/2 This is an "or" statement meaning the solution can be either less than -1/2 or greater than 1/2 So this would be a solution to the problem

Answer:

If you divide 600/ 45 mins you get the kilometers per minute which is 13.33. Then you multiply 13.33 times 30 mins and you get 399.9 or 400 kilometers

Step-by-step explanation:

Answer:

Step-by-step explanation:

(6a)(b)(c)(2d)

The estimate of the number of transistors per IC in 2016 is of:

16,777,216,000

Using Moore's Law, the prediction for the number of transistors per IC to be in 2040 is of:

6.87 x 10¹³

Moore's Law states that the number of transistors per IC is expected to double every two years.

Hence the amount of transistors in t years after 1972 is given by the following exponential function:

[tex]A(t) = 4000(2)^{\frac{t}{2}}[/tex]

The number of years between 2016 and 1972 is given as follows:

2016 - 1972 = 44.

Hence the estimate for the number of transistors per IC in 2016 is of:

[tex]A(44) = 4000(2)^{\frac{44}{2}}[/tex]

A(44) = 16,777,216,000

The number of years between 2040 and 1972 is given as follows:

2040 - 1972 = 68.

Hence the estimate is obtained as follows:

[tex]A(68) = 4000(2)^{\frac{68}{2}}[/tex]

A(68) = 6.87 x 10¹³.

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The equation of a line that is perpendicular to -9x = 15 - 3y is y = -1/3(x) + c.

Given:

-9x = 15 - 3y

3y = 15+9x

divide by 3 on both sides

3y/3 = 15/3 + 9x/3

y = 3x + 5

m = 3

Perpendicular slope m1 = -1/m

= -1/3

substitute m value in y = m1x +c

y = -1/3(x) + c.

Therefore the equation of a line that is perpendicular to -9x = 15 - 3y is y = -1/3(x) + c.

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Answer:

16

Step-by-step explanation:

multiply sides

After 22 months, Jed and Esther have the same amount of money in their accounts.

Simplify both sides of the equation as much as possible using the order of operations (distribute, combine like terms, etc.)

Given: Jed has £48 in his bank account and from then on, at the end of each month he put £40 into his account  and

Esther had £180 in her bank account and from then on, at the end of each month she put £34 into her account.

Now, let us consider after 't' months they have same amount of money in their accounts

 ⇒ £48 + £40t = £180 + £34t

 ⇒ £40t - £34t = £180 - £48

 ⇒ 6t = 132

 ⇒ t = 22.

Therefore, after 22 months, Jed and Esther have the same amount of money in their accounts.

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The solutions to the given linear equation are (1, -4), (-9, -12), and (6, 0)

From the question, we are to determine the ordered pairs that are solutions to the given equation

The given equation is

4x - 5y = 24

To do this, we will check for the ordered pairs that satisfy the equation.

(1, -4)

Substitute x = 1 and y = -4

4x - 5y = 24

4(1) - 5(-4) = 24

4 + 20 = 24

24 = 24

Therefore, (1, -4) is a possible solution to the equation

(-9, -12)

Substitute x = -9 and y = -12

4x - 5y = 24

4(-9) -5(-12) = 24

-36 + 60 = 24

24 = 24

Therefore, (-9, -12) is a possible solution to the equation

(4, 8)

Substitute x = 4 and y = 8

4x - 5y = 24

4(4) - 5(8) = 24

16 - 40 = 24

-24 ≠ 24

Therefore, (4, 8) is not a solution to the equation

(6, 0)
Substitute x = 6 and y = 0

4x - 5y = 24

4(6) -5(0) = 24

24 + 0 = 24

24 = 24

Therefore, (6, 0) is a possible solution to the equation.

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The cost price of three T-shirts is $11.2. Since, the cost price is less than the perchage price hence it is profit.

What is profit and loss?

When perchaging price is less than the original price then it is known as profit. But if it is more than the original price than it is known as loss.

Consider the original price of the three T-shirts is [tex]x[/tex]. Now, the percent saving is given by the following expression:

[tex]\textnormal{Percent saving}=\frac{\textnormal{Total amount without saving-Total amount after saving}}{\textnormal{Total amount without saving}} \times 100\\30=\frac{\$14.50-x}{x}\times 100\\\frac{30x}{100}=14.5-x\\0.3x=14.5-x\\0.3x+x=14.5\\1.3x=14.5\\x=\frac{14.5}{1.3}\\x=11.2[/tex]

Hence, the price of three T-shirts is $11.2.

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The number of work cycles should be timed to estimate the average cycle time to within 2 percent of the sample mean with a confidence of 95.5 percent if a pilot study yielded these times is 23.

What are Sample Mean?

The average value of the provided sample data is determined using the sample mean formula. Instead of expressing them using actual terms, it is occasionally essential to calculate the sample term average. The ratio of the sum of terms to the total number of terms can be used to describe the sample mean formula. The center of the data is measured by the sample mean. The sample mean is used to estimate the mean of any population. Many times, without surveying the entire population, we must make educated guesses about how the population as a whole is behaving or what variables are affecting the population as a whole. In these situations, the sample mean is helpful. The sample mean is the average value obtained from the sample. The variance and subsequently the standard deviation are determined using the sample mean that was so obtained.

For the given data,

Standard Deviation = 0.3204

Mean =(6.1+6.9+6.9+6.7+6.8+6.4)/6=6.633

The margin of error = 2% of mean

Z score for 95.5 confidence interval = 1.96

Number of cycles, sqrt(n)

= (1.96× 0.3204) / (6.633×0.02)

= 4.7337

n = 22.408

Rounding to the next integer, then work cycles = 23

Hence,

The number of work cycles should be timed to estimate the average cycle time to within 2 percent of the sample mean with a confidence of 95.5 percent if a pilot study yielded these times is 23.

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Michael took his kids to get haircuts. The haircut cost $50 for all of the kids combined. He also gave the stove a 30% tip.  

The total cost of the haircut including the tip was $65.

What do you mean by cost price?

Cost price is the total sum of money that it costs a manufacturer to make a particular good or offer a particular service. The total expenditure needed to create something or perform a service is the cost. The following methods for determining profitability involve cost price: Profit in monetary terms is calculated as Selling Price (Excluding Tax) – Cost.

Solution Explained:

Given,

Cost of the haircut is $50

Tip that Micheal gave is 30%

So calculating,

Tip = (50 X 30) / 100 = 15

Therefore, the total cost including tip for the haircuts is

= 50 + 15

= 65

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The probability of contract bring given to a state wide operation is 0.2500

What is probability?

The area of arithmetic called likelihood deals with numerical representations of the chance that a happening can occur or that a press release is true. associate degree event's likelihood may be a range between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Main body:

Number of local insurance contract operations = 3

Number of state-wide operations = 3

Number of national wide operations = 6

Therefore total companies = 3+3+6

                                             = 12

Probability of contract being given to state wide company = 3/12

P(state wide) = 0.2500

Hence the probability of the given case is 0.2500.

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Pair (1,y)

[tex]6(1)+1.2y=-2.4 \\ \\ 1.2y=-8.4 \\ \\ y=-7[/tex]

Pair (x,3)

[tex]6x+1.2(3)=-2.4 \\ \\ 6x=-6 \\ \\ x=-1[/tex]

Can you please show the equation or rewrite the equation?

The headlights of the car will hit the ground 378ft

The unitary method is a numerical process that is used to calculate any value i.e., cost or speed, or any desired quantity. In this method, we will find the desired value for 1 unit so that we can find the value for multiple units.  

Here we have

The headlights on a car are set to the light beam drops 2 in. for each 21 ft measured horizontally.

The headlights are mounted 36 in. above the ground

For  2-in  - 21 ft measured horizontally

Then for 1 - in = 21/2 = 10.5 ft

then for 36 in = 36 × 10.5 = 378 ft

Therefore,

The headlights of the car will hit the ground 378ft  

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Answer:

See picture below

Step-by-step explanation:

Desmos is a free graphing calculator.  

x-y = 1  Subtract x from both sides

-y = -x + 1  Divide all the way through by -1

y = x - 1

These line are parallel because they have the same slope.

On the green line I highlightes tow points (0,4) and (3,7) .  (0,4) tells us where the line crosses the y anxis.  Thiis will be in the form (0,b)  b stands for the y intercept.  This graph is crossing the green line at 4.  The slope is 1.  The patern form the first point (0,4) is to move up one and move right one.  This pattern continues throuhg point (3,7) and beyond.

The blue line in the slope intercept from is

y = x +1 .  Its slope is the same as the first line. It is up one and one to the right and that pattern continues.  This line cross the y axis at -1.

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

Use this formula

a & b/c = (a*c + b)/c

to convert from a mixed number to an improper fraction.

Let's use that formula to find the following

a & b/c = (a*c + b)/c

2 & 1/3 = (2*3+1)/3

2 & 1/3 = 7/3

She has 7/3 yards of material.

Linda wants to make 3 curtains. Each curtain needs 8/9 of a yard.

3*(8/9) = 24/9 = (8*3)/(3*3) = 8/3

Therefore, she needs 8/3 yards of material.

But this is a problem because she needs more material than what she has on hand. In other words, 8/3 > 7/3 since 8 > 7.

-----------

Another way to look at it:

7/3 = 2.333 yards is the approximate amount of fabric she has

8/3 = 2.667 approximately is the total amount of fabric she needs, which is clearly larger than the 2.333 yards she has.

Unfortunately Linda does not have enough fabric to make 3 curtains.

Both the triangles of the given figure are similar to each other by SAS

( Side angle Side ) the property of corresponding sides are in proportion and included angle of both the triangles is right angle.

Slope of the both the triangles is (-3/2) .

As given in the question,

For the given diagram of the two triangles,

To prove : Both the triangles are similar to each other.

Side length of the corresponding sides of both the triangles :

Altitude of :

Small triangle : 6 - 3 = 3 units

Big triangle : 3 - (-3) = 6 units

Base :

Small triangle : -2 + 4 = 2 units

Big triangle : 2 - (-2) = 4 units

Corresponding sides are in proportion:

( 3/6) = 1/2 = ( 2 / 4)

And the included between the two sides is equal to 90° ( right angle ).

By SAS ( Side angle Side ) theorem,

Both the triangles are similar to each other.

Now slope of :

Small triangle is equal to,

Consider two end points ( -4, 6) and ( -2 , 3)

Slope = ( 3 -6)/ (-2 + 4)

          = -3/2

Big triangle is equal to,

Consider two end points ( -2, 3) and ( 2 , -3)

Slope = ( -3 -3)/ ( 2 + 2)

          = -6 /4

          = -3/2

Therefore, both the triangles of the given figure are similar to each other by SAS

( Side angle Side ) the property of corresponding sides are in proportion and included angle of both the triangles is right angle.

Slope of the both the triangles is (-3/2) .

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The equation that gives the gross weekly pay (p) if you work a hours per week is 11h+78.

An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation. A mathematical equation that depicts the connection between two expressions on opposite sides of the sign. It generally consists of one variable and one equal to symbol. 2x - 4 = 2 is an example. x is a variable in the preceding example.

Here,

2600*3/100=26*3

=78

p=11h+78

The algorithm for calculating gross weekly pay (p) if you work a number of hours per week is 11h+78.

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Answer:

29/8 or 3 5/8

Step-by-step explanation:

For the given condition of choosing president and treasurer from the 10 board members on the Community Arts Council , the total number of outcomes president and treasurer can be chosen as

Combination ; 45 ways.

As given in the question,

Total number of board members in the Community Arts Council = 10

Number of people to be chosen from Community Arts Council (president and treasurer) = 2

Total number of ways to choose a president and treasurer is calculated using combination of selecting 2 people is equal to

= ¹⁰C₂

= ( 10 )! / ( 2! ) ( 10 - 2 )!

= ( 10 × 9 × 8! ) / ( 2 × 1 ) ( 8! )

= 90 / 2

= 45

Therefore, for the given condition of choosing president and treasurer from the 10 board members on the Community Arts Council , the total number of outcomes president and treasurer can be chosen as

Combination ; 45 ways.

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Answer:

See attachment.

Step-by-step explanation:

1. Use the slope-intercept form to find the slope and y-intercept.

y = mx + b ; m= slope  b= y-intercept

2. Find the values.

m = 0

b = 7

slope: 0

y-intercept: ( 0, 7)

3. Find two points on the line, then graph them.

x = 0, 1

y = 7, 7