Type an equation for the
following pattern.
Enter the fraction in simplest form.
[?]
y x + 1
x
Y
1
1/2
2
1
B
3/2
4
2
S
5/2

Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.

Isaiah's Ratio:

Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:

Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%

Casho's Ratio:

Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:

Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)

Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).

Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

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Answer:

33

Step-by-step explanation:

43 - 10 = 33

Answer:33

Step-by-step explanation:hope it helps, brainliest? i could really use it

Answer:

12

Step-by-step explanation:

75% = 3/4 = 9games

1/4 = 3games

4/4 = 12 games

Answer:

Initial amount: 934 g

After 80 years: 147 g

Step-by-step explanation:

\( A(t) = 934 (\dfrac{1}{2})^\frac{t}{30} \)

The initial amount occurs at t = 0.

\( A(0) = 934 (\dfrac{1}{2})^\frac{0}{30} \)

\( A(0) = 934 (\dfrac{1}{2})^0 \)

\( A(0) = 934 \times 1 \)

\( A(0) = 934 \)

After 80 years, t = 80.

\( A(80) = 934 (\dfrac{1}{2})^\frac{80}{30} \)

\( A(80) = 934 (\dfrac{1}{2})^\frac{8}{3} \)

\( A(80) = 934 (0.15749) \)

\( A(80) = 147 \)

Answer:

The chain of the length 7 inches weighs 112 ounces.

Step-by-step explanation:

As we know there are 12 inches in a foot and 16 ounces in a pound

That is 1 foot = 12 inches.

and 1 pound = 16 ounces.

Given that the weight of the chain that is 1 foot long = 12 pounds

So weight of the chain per inch is = 12/12

which is equal to 1 pound

and according to the formula 1 pound = 16 ounces

So weight of the chain per inch is =  16 ounces

therefore weight of the chain that is 7 inch long = 7 × 16

that is 112 ounces.

The chain of the length 7 inches weighs 112 ounces.

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Answer:

570

Step-by-step explanation:

The rules that define the piecewise function graphed are as follows:

y = x + 2, y = 5.

A piecewise function is a function that has different definitions, depending on the input.

In this problem, for x between 0 and 3, a linear function is given, with slope given as follows:

m = (5 - 2)/(3 - 0) = 1.

The y-intercept is of 2, as y = 2 when x = 0, hence the definition is:

\(y = x + 2, 0 \leq x \leq 3\)

For x greater than 3, the function is constant at y = 5, hence the definition is:

y = 5, x > 3.

Hence, the rules that are used to define the piecewise function graphed are as follows:

y = x + 2, y = 5.

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Answer:

74

Step-by-step explanation:

60,000 + 14,000

ANS 14%

ANSWER: 74

The project's IRR is approximately 13.45%.

We have,

To calculate the project's internal rate of return (IRR), we need to find the discount rate at which the net present value (NPV) of the project's cash flows is equal to zero.

Given:

Initial cost (C0) = $60,000

Net cash inflow per year (CF) = $14,000

Number of years (n) = 9

Cost of capital (r) = 14% = 0.14

To calculate the IRR, set up the equation:

\(0 = C0 + (CF / (1 + r)^1) + (CF / (1 + r)^2) + ... + (CF / (1 + r)^n)\)

\(0 = 60,000 + (14,000 / (1 + r)^1) + (14,000 / (1 + r)^2) + ... + (14,000 / (1 + r)^9)\)

By using a financial calculator or software, the IRR for this project is found to be approximately 13.45% when rounded to two decimal places.

Therefore,

The project's IRR is approximately 13.45%.

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Answer:

43.96

Step-by-step explanation:

2 x 7 x 3.14 = 43.96

Answer:

44 rounded to nearest whole.

\(C = 2\pi r = 2 * \pi * r(7) = 44~in\)

The length of BC is 40 units

What is isosceles triangle?

An isosceles triangle is one that has two sides of equal length.

The angles opposite to equal sides are equal.

AB=x+17 units

BC=2x-6 units

We were given that the triangle is an isosceles triangle.

This means that these two sides are equal.

We therefore form the equation below and solve for the value of x.

x+17 = 2x-6

x-2x= -6-17

x=23

We substitute this value into the expression for side BC to get ,

BC=2(23)-6

BC=40 units

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Answer:

Part a) The graph in the attached figure

Part b) The units rate of change is 9

Step-by-step explanation:

we know that

A relationship between two variables, t, and d, represent a proportional variation if it can be expressed in the form  or

step 1

Find the constant of proportionality k

For

substitute

the linear equation is equal to

using a graphing tool

see the attached figure

step 2

Find the unit rate

we know that

In a proportional relationship the constant of proportionality k is equal to the unit rate of change or slope m of the line, because the line passes through the origin

so

The units rate of change is 9

That means------> A change of 1 unit in t correspond to a change of 9 units in d

see the attached figure to better understand the problem

Answer:

Have a nice day! Answer is above good luck:)

Answer:

FIRST ONE "Deb sold vases for two years, neither sold nor bought the next year and then sold bases for two more years"

Step-by-step explanation:

Notice the number of bases in debs collection is DECREASING as the years passes for the first and third period. This is she is selling her vases but in the middle the number is the same (two point in the same horizontal line) this means she neither sold nor bought any vase in that period.

Answer:

7, 23

Step-by-step explanation:

R could lie either to the left of S or to the right of S on the number line

Therefore possible values for R are 15-8 = 7

and 15 + 8 = 23

The Surface area of Triangular Prism is 132 cm².

We have have the dimension of prism as

Sides = 3 cm, 4 cm, 5 cm

and, l = 10 cm

and, b= 4 cm

Now, Surface area of Triangular Prism as

= (sum of sides) l + bh

= (3 + 4 + 5)10 + 4 x 3

= 12 x 10 + 12

= 120 + 12

= 132 cm²

Thus, the Surface area of Triangular Prism is 132 cm².

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Answer: $227,226.51

Step-by-step explanation:

First, we need to convert the period to weeks.

9 1/2 years = 9.5 years

1 year = 52 weeks

9.5 years = 494 weeks

Next, we can use the formula for the future value of an annuity:

FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)

where:

PMT = payment amount per period

r = annual interest rate

n = number of compounding periods per year

t = number of years

Plugging in the given values:

PMT = $300

r = 0.055 (5.5% expressed as a decimal)

n = 52 (compounded weekly)

t = 9.5 years = 494 weeks

FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)

FV = $227,226.51

Therefore, the future value of the annuity is approximately $227,226.51.

Answer:

x/5

Step-by-step explanation:

θ lies in quadrant III, which means

π < θ < 3π/2   ⇒   π/2 < θ/2 < 3π/4

which is to say that θ/2 lies in quadrant II. For quadrant III, we have sin(θ) < 0 and cos(θ) < 0. For quadrant II, we have sin(θ/2) > 0 and cos(θ/2) < 0.

Recall the half-angle identity for sine:

sin²(θ/2) = (1 - cos(θ))/2

Then in this case,

sin(θ/2) = - √((1 - cos(θ))/2)

Also recall the Pythagorean identity,

1 + tan²(θ) = sec²(θ)

It follows that

sec(θ) = - √(1 + tan²(θ)) = -√73/3

⇒   cos(θ) = -3/√73

⇒   sin(θ/2) = - √((1 + 3/√73)/2) = √(1/2 + 3/(2√73))

Answer:

9 < x < 17 is the possible length of the third side of a triangle.

Step-by-step explanation:

The Triangle Inequality theorem defines that if we are given two sides of a triangle, the sum of any two given sides of a triangle must be greater than the measure of the 3rd side.

Given the two sides of the triangle

Let 'x' be the length of 3rd size.

According to the Triangle Inequality theorem,

The difference of two sides < x < The sum of two sides

13 - 4 < x < 13+4

9 < x < 17

Therefore, 9 < x < 17 is the possible length of the third side of a triangle.

Answer:

58) 12.65

59) 8.25

60) 17.89

61) 15.81

62) 4.27

63) 10.07

64) a=4, ST=48

65) x=11, ST=22

66) Yes because the feet are like points on a plane and the ground would be the coordinate plane

67) 4 1/2 feet

68) 0.275

69) 56

Step-by-step explanation:

I hope this helps!!

Answer:

Total area of figure = [3x² + 7x + 6] feet²

Step-by-step explanation:

By dividing both rectangle by vertical line;

Given:

Length of big rectangle = (x + 3) feet

Width of big rectangle = (x + 2) feet

Length of small rectangle = 2x feet

Width of small rectangle = (x + 1) feet

Find:

Total area of figure

Computation:

Area of rectangle = Length x width

Total area of figure = Area of big rectangle + Area of small rectangle

Total area of figure = [(x + 3)(x + 2)] + [(2x)(x + 1)]

Total area of figure = [x²+ 2x + 3x + 6] + [2x² + 2x]

Total area of figure = [3x² + 7x + 6] feet²

Option 3 yielded the most money after 10 years is 171.7

Option 1 yielded the most total money by the time you were 60 years old is 8,771.56

A solution of an equation is a value or set of values that satisfy the equation, meaning that when the value(s) is substituted for the variable(s) in the equation, both sides of the equation are equal.

Based on the given equations, Option 1 yielded the most money after 10 years, and Option 3 yielded the most total money by the time you were 60 years old.

After 10 years:

Option 1: 50×(1.09)¹⁰ - 30 =  88.36

Option 2: 50×(1.08)¹⁰ - 20 =  87.94

Option 3: 100×(1.07)¹⁰ - 25 =  171.71

Therefore, Option 3 yielded the most money after 10 years is 171.7

By the time you were 60 years old:

Option 1: 50×(1.09)⁶⁰ - 30 =  8,771.56

Option 2: 50×(1.08)⁶⁰ - 20 =  5,042.85

Option 3: 100×(1.07)⁶⁰ - 25 =  5,769.64

Therefore, Option 1 yielded the most total money by the time you were 60 years old is 8,771.56

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Answer:

4 inches

Step-by-step explanation:

The simplification of the algebraic fraction equation given as 3a³ - 5b³ + (3/a) + b³ is; (3/a)(a⁴ + a) - 4b³

We want to solve the algebraic fraction equation given as;

3a³ - 5b³ + (3/a) + b³

Rearranging the algebra to get;

(3a³ + (3/a)) + b³ - 5b³

Factorizing out 3/a and simplifying gives;

(3/a)(a⁴ + a) - 4b³

This is the final part for the simplification of the given algebraic fraction. Thus, we can conclude that the simplification of the algebraic fraction equation given as 3a³ - 5b³ + (3/a) + b³ is; (3/a)(a⁴ + a) - 4b³

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the images go in order to the graph

Answer:

3:7

Step-by-step explanation:

i hope this helps

Answer:

Rajesh did πr2 (π × r × 2) instead of πr². The correct work would be

Area = 3.142 x 10²  so... Area = 3.142 x 100 not 3.142 x 20.

Answer:

Step-by-step explanation:

S.I =720×6×5/100×365

=21600/36500

=0.59178

So balance will be 720+0.59178

=720.59178

Answer:

x = 47

Step-by-step explanation:

x + 121 = 4x - 20

-3x + 121 = - 20

-3x = -141

x = 47

So, the answer is x = 47