A central angle has the center as its vertex and its sides contain two radii of the circle.

Given:

Leo had $91, which is 7 times as much money as Alison had.

Let x represents Alison's money.

So, the expression for Leo's money is,

Divide both sides of the above equation by 7.

So, Alison had $13.

Therefore, the correct solution method is

A) 7x = 91. Divide both sides by 7. Alison had $13.

Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

Answer:

HOTDOGS

1.    $1.15

2.   $1.22

3.   $1.09

4.   $1.37

BEST BUY: TOM THUMB SELECT I THINK LOL (3)

COOKIES

1.    $7.60

2.   $6.86

3.   $4.36

4.   $4.44

BEST BUY: THIN MINTS I THINK (4)

Answer:

Step-by-step explanation:

the first one

Answer:

O' (- 8, 2 )

Step-by-step explanation:

dilation with a scale factor k = 2 , means multiply each of the original coordinates of the point by 2 , that is

O (- 4, 1 ) → O' (2(- 4), 2(1) ) → O' (- 8, 2 )

Answer :im not very sureeee

Step-by-step explanation:

Answer:

864

Step-by-step explanation:

Because the tank is a cube, all 6 faces have dimensions of 12 by 12. Therefore, the surface area is 6 * (12 * 12) = 864 (in²)

The radical expressions when evaluated are

(c) √5 ÷ √3x² = √15/3x

(d) 4√b ÷ (√3 - b) = [4√(3b) + 4b]/[3 - b²]

(e) [3√(a²)/√3 ÷ 2a³⁺²] = √(3a)/2a

From the question, we have the following parameters that can be used in our computation:

√5 ÷ √3x²

So, we have

√5 ÷ x√3

Rationalize

√5/x√3 * √3/√3

Evaluate

√15/3x

Next, we have

4√b ÷ (√3 - b)

Rationalize

4√b/(√3 - b) * (√3 + b)/ (√3 + b)

So, we have

[4√(3b) + 4b]/[3 - b²]

Next, we have

[3√(a²)/√3 ÷ 2a³⁺²]

So, we have

[a√3 ÷ 2a³⁺²]

This gives

[a√3 ÷ 2a√a]

Rationalize

[a√3 ÷ 2a√a] * [√a ÷ √a]

So, we have

[a√3a ÷ 2a²]

Divide

√(3a)/2a

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Answer:

Below in bold.

Step-by-step explanation:

f(1) = 10

f(2) = f(2-1) - 1.5 = 10 - 1.5 = 8.5

f(3) = f(2) - 1.5 = 7.

a. This is Arithmetic.

b. The first 5 terms are:10. 8.5. 7, 5.5, 4.

c. The first point on the graph will (1, 10).

It will be a straight line descending to the right.

Answer:

15 cm

Step-by-step explanation:

we know the rectangles are 5 by 1 cm so looking at the length of the shaded area it’s the same length as a rectangle which is 5cm

the width is the length of a rectangle subtracted by 2 width of other triangle which is 3 cm

So we jus multiply 3 and 5 which is 15 cm

x, x+1, x+2, x+3

5(x+3)-2(x+1) = 20

5x + 15 -2x -2 = 20

3x + 13 = 20

x = 11

answer : 11, 12, 13, 14

w o w 100 points! t h a n k s :D

Answer:

Done

Step-by-step explanation:

A.

C.

G.

a) F = (9/5)*C + 32

b)

c) The graph can be seen below, it is a linear function.

We have the formula:

C = (5/9)*(F - 32)

To solve it for F, we need to isolate the F in the formula:

F = (9/5)*C + 32

b) Now we want to convert some temperatures.

If C = 0° celcius, then:

F =  (9/5)*0 + 32 = 32

This means that: 0°C = 32°F

if C = 20° Celcius, then:

F =  (9/5)*20 + 32 = 68

then 20°C = 68°F

if C = 32°C then:

F = (9/5)*32 + 32 = 89.6°

So 32°C = 89.6°F

Finally, if C = 41°C then:

F = (9/5)*41 + 32 = 105.8

Then 41°C = 105.8°F

c)  Here the function is:

F = (9/5)*C + 32

This clearly is a linear function, and the graph can be seen in the image below.

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By using linear equations it can be concluded that the systolic blood pressure of a newborn is 95 mm hg.

Linear equations are one of the equations of algebra where this equation contains constants with a single variable.

The equation represents the linear model for the systolic blood pressure of people of several different ages data is y = x + 95.

We want to know the systolic blood pressure of a newborn, which means that the age is 0. It can be written mathematically as x = 0.

Now we input this value into the equation:

y = x + 95

  = 0 + 95

  = 95 mm hg

Thus the systolic blood pressure of a newborn is 95 mm hg.

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Answer:

1. To adjust the recipe to serve 30 cupcakes instead of 10, you will need to multiply the amount of each ingredient by 3.

2. This number was determined by dividing the desired number of servings (30) by the original number of servings (10). 30/10 = 3.

3. For 30 cupcakes, you will need 3 times the amount of vegetable oil listed in the original recipe. The original recipe calls for 1/2 cup of vegetable oil, so for 30 cupcakes, you will need 3 * (1/2) = **1 and 1/2 cups** of vegetable oil.

4. For 30 cupcakes, you will need 3 times the amount of flour listed in the original recipe. The original recipe calls for 1 and 1/2 cups of all-purpose flour, so for 30 cupcakes, you will need 3 * (1 and 1/2) = **4 and 1/2 cups** of all-purpose flour.

5. The difference in the amount of vanilla extract you would need for 30 cupcakes is calculated by subtracting the amount needed for 10 cupcakes from the amount needed for 30 cupcakes. The original recipe calls for 1 teaspoon of vanilla extract, so for 30 cupcakes, you will need 3 * (1) = **3 teaspoons** of vanilla extract. The difference is therefore 3 - 1 = **2 teaspoons**.

6. The difference in the amount of salt you would need for 30 cupcakes is calculated by subtracting the amount needed for 10 cupcakes from the amount needed for 30 cupcakes. The original recipe calls for 1/8 teaspoon of salt, so for 30 cupcakes, you will need 3 * (1/8) = **3/8 teaspoon** of salt. The difference is therefore (3/8) - (1/8) = **2/8 or 1/4 teaspoon**.

In the real world, it would make more sense to round the amount of an ingredient like salt or nutmeg rather than coming up with the exact amount because these ingredients are used in such small quantities that a slight variation in their amounts is unlikely to have a significant impact on the final product.

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:

y=2 you're welcome Please Mark Me Brainliest

Step-by-step explanation:

Answer:

the right answer would be A: dilate by a scale factor of 2 and reflect over the x-axis

Step-by-step explanation:

you can clearly see the triangle reflect over the axis, not going down by 2 unit. the scale got bigger not smaller so it cant be dilate by a scale factor of 1/2.

have a nice day.

Answer:

80

Step-by-step explanation:

\( \sin(80) = \cos(10) \\ 90 - x = 10 \\ x = 80\)

The length on the blueprint is approximately 0.2667 units.

To find the length on the blueprint, we can set up a proportion using the given information.

Let's denote the length on the blueprint as "x".

According to the blueprint, the width is 4 inches, and the actual length is 20 feet. We can set up the following proportion:

Width on Blueprint / Actual Width = Length on Blueprint / Actual Length

Plugging in the values:

4 inches / 20 feet = x / 16 feet

Now, we need to convert the units to be consistent. Since we have feet in the denominator on both sides, we can convert inches to feet by dividing by 12:

(4 inches / 12 feet) / 20 feet = x / 16 feet

Simplifying:

1/3 / 20 = x / 16

Now, we can cross multiply:

(1/3) × 16 = 20 ×x

Simplifying further:

16/3 = 20x

To solve for x, we can divide both sides by 20:

(16/3) / 20 = x

Simplifying:

16 / (3 × 20) = x

16 / 60 = x

Now, we can simplify the fraction:

4/15 = x

So, the length on the blueprint is 4/15 of a unit.

Alternatively, if you want to convert the fraction to decimal form, you can divide 4 by 15:

4 ÷ 15 ≈ 0.2667

Therefore, the length on the blueprint is approximately 0.2667 units.

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Answer:

9

Step-by-step explanation:

first find the square's area by multiplying 12 × 12 to get 144

then divide 144 ÷ 16 to find the width which is 9

Answer:

Step-by-step explanation:

22 he sahwv i;b ihba

None of the numbers are fractions or decimals.

The answer would be

D. natural numbers, whole numbers, and integers

The rotation per revolution when a wheel rotates 1,800º in 5 revolutions is 360°.

Revolution simply means a complete turn. It's slid known as a full rotation.

Here, the wheel rotates 1,800º in 5 revolutions. The rotation per revolution will be:

= Total degree / Number of revolution

= 1800 / 5

= 360°

The complete information is written below.

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A wheel rotates 1,800º in 5 revolutions. What is the rotation per revolution?

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Answer:

39

Step-by-step explanation:

Answer:

71-32=x

or

71-x=32

Step-by-step explanation:

x represents how many seashells she gave benny.

Answer:

(-5,0)

Step-by-step explanation:

Put  -4x+10 ≥ 5x+55 in Desmos Scientific Calculator and you have your answer

The equation in standard form for the circle with diameter endpoints (1,17) and (1,-1) is (x - 1)^2 + (y - 8)^2 = 81.

To write the equation of a circle in standard form, we need to use the formula: (x - h)^2 + (y - k)^2 = r^2 Where (h,k) is the center of the circle and r is the radius.

We can use the midpoint formula to find the center of the circle, which is the midpoint of the diameter: Midpoint = ((x1 + x2)/2 , (y1 + y2)/2) Substituting the given endpoints, we get: Midpoint = ((1 + 1)/2 , (17 + (-1))/2) = (1, 8) So the center of the circle is (1,8).

Now we need to find the radius, which is half the length of the diameter: Length of diameter = sqrt((1-1)^2 + (17-(-1))^2) = sqrt(18^2) = 18 Radius = 18/2 = 9 Substituting the center and radius in the standard form equation, we get: (x - 1)^2 + (y - 8)^2 = 9^2 Simplifying, we get: (x - 1)^2 + (y - 8)^2 = 81

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Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).