Mario is making dinner for 9 people. Mario buys 7 containers of soup. Each container
is 18 ounces. If everyone gets the same amount of soup, how much soup will each
person get?
Each person will get
ounces of soup.

Answer:

r = 3.6 , a = 2

Step-by-step explanation:

given that r is inversely proportional to a then the equation relating them is

r = \(\frac{k}{a}\) ← k is the constant of proportion

to find k use the condition when r = 12 , a = 1.5

12 = \(\frac{k}{1.5}\) ( multiply both sides by 1.5 )

18 = k

r = \(\frac{18}{a}\) ← equation of proportion

when a = 5 , then

r = \(\frac{18}{5}\) = 3.6

when r = 9 , then

9 = \(\frac{18}{a}\) ( multiply both sides by a )

9a = 18 ( divide both sides by 9 )

a = 2

Answer:

4,000

Step-by-step explanation:

You go to the thousand number and see if the hundred number is higher than 5, if not then its stays the same.

One example of such a series is the harmonic series with alternating signs:

∑n1(−1)nn= −1/1 + 1/2 − 1/3 + 1/4 − 1/5 + ...

This series alternates between positive and negative terms, with the magnitude of each term decreasing as n increases. Therefore, we can choose c

n

to be the absolute value of each term, which is always less than 0.0000001 for sufficiently large n.

Additionally, we know that the limit of the sequence of terms is zero, since the terms approach zero as n goes to infinity. However, the series still diverges, as shown by the alternating series test. Therefore, this series satisfies the conditions given in the problem.

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Answer:

68.3 miles per hour

Step-by-step explanation:

One kilometer is 0.62 miles.

110 times 0.62 is 68.3

Wendy's rate of 110 kilometers per hour is 68.3 miles per hour.

To convert kilometers per hour to miles per hour, we need to use the conversion factor of 1 kilometer = 0.621371 miles.

Given that Wendy drives at a rate of 110 kilometers per hour.

we can multiply this value by the conversion factor to obtain the equivalent rate in miles per hour.

110 kilometers per hour × 0.621371 miles per kilometer

= 68.34381 miles per hour

We get 68.3 miles per hour.

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Answer:

3400

Step-by-step explanation:

First, we break up the $70,000 total salary into the amounts that fit in each percentage bracket.

$70,000 = $10,000 + $40,000 + $20,000

A $70,000 salary has the components of

$10,000 at 3%

$40,000 at 5%

$20,000 at 5.5%

tax = 0.03 × $10,000 + 0.05 × $40,000 + 0.055 × $20,000

tax = $3,400

The state income tax owed on a $50,000 is $2300.

The government collects income tax for a variety of reasons, including paying off the wages of state and federal government employees and covering infrastructure costs. The income tax collected by the government serves as a source of income from which the nation's development is supported.

We have,

Income Range ($)           Tax Rate

0- 10,000                            3%

10,000 - 50,000                 5%

50,000 - 100, 000             5.5%

So, the income tax owed on $50, 000

= 3% of 10,000 + 5% of 40, 000

= 300 + 2000

= $2300

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Answer:

Step-by-step explanation:

If you translate the triangle BCD in such a way that vertex B maps onto vertex W, you'll realize that with rotation, you'll map the whole BCD triangle onto triangle WXY.

On the other hand, reflections can't be used here, because the sides of both triangles are not in opposite positions.

Therefore, the right answer is the third choice.

Answer:

1 I think

Step-by-step explanation:

1 has the most spots on the spinner

Answer: you just take the first set of points and subtract the second from it.

Step-by-step explanation: 2-9=-7 and 2-10=-8

the new set would be (-7,-8) hope this helps

Answer:

Step-by-step explanation:

Given the expression, -3(2w+6)-4, we are to look for an equivalent expression for the equation.This is as shown:

Step 1: Open the parenthesis

= -3(2w+6)-4

= -3(2w)-3(6)-4

= -6w-18-4

Step 2: Simplify the resulting expression in step 1

= -6w-18-4

= -6w - 22

Step 3: factor out the common values from each term. Since the common value is 2, on factoring we will have;

2{-3w+(-11)}

Hence the equivalent expression is 2{-3w+(-11)}

Answer:

a and b

Step-by-step explanation:

no.

Answer:  30 in

Step-by-step explanation:

Multiply the length and width and divide the number you get from 2175.

Brainliest Please!

Answer:

67.64

Step-by-step explanation:

The answer is 3 ft-lb.

Beyond its natural length:

Work done to strech the spring to a lentgh x = 0.5 * k * x^2

Now;

12  = 0.5 * k * 9

k = 8/3 = 2.667

9 in = 1.5 ft

Work needed to stretch it 9 in. beyond its natural length = 0.5 * 2.667 * 1.5*1.5 = 3 ft-lb

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The given data can be used to test the hypothesis that the proportion of preterm births among twins has increased from 1990 to 2000 and the conclusion is that the proportion of preterm births among twins has increased from 1990 to 2000.

Using a two-proportion z-test, with the null hypothesis that the proportions are equal, we find that the test statistic is approximately 1.89, with a p-value of 0.029. This suggests that there is evidence to reject the null hypothesis at the 5% significance level, and conclude that the proportion of preterm births among twins has increased from 1990 to 2000.

However, it's important to note that this conclusion is based on the assumption that the two samples are independent and representative of the population of interest. Other factors, such as changes in the population or hospital policies, may have also contributed to the observed increase in preterm births among twins.

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Answer:

2.2 * 6 = 13.2 lbs

Calculating the obtuse angle or value of a triangle.

Finding obtuse angle value:

steps:

1)  Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together.

For example, if the lengths of the sides measure 4 and 2, then squaring them would result in 16 and 4. Adding the squares together results in 20.

2)  Square the length of the side opposite the obtuse angle. For the example, if the length is 5, then squaring it results in 25.

3) Subtract the combined squares of the adjacent sides by the square of the side opposite the obtuse angle. For the example, 25 subtracted from 20 equals -5.

4)  Multiply the lengths of the adjacent sides together, and then multiply that product by 2. For the example, 4 multiplied by 2 equals 8, and 8 multiplied by 2 equals 16.

5) Divide the difference of the sides squared by the product of the adjacent sides multiplied together then doubled. For the example, divide -5 by 16, which results in -0.3125.

The obtuse angle value is obtained by inverse of cos:

cos^-1(-0.3125)

= 108.209 degrees.

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Answer:

Any line that has 2x as the slope is parallel

Step-by-step explanation:

It is the rule of linear function where if the slope is equal the line/ linear function is always parallel.

The statement that is TRUE based on the given facts is that the customer's fixed income portfolio has experienced a greater decline in value than the decrease in the Consumer Price Index (CPI).

To elaborate, the customer's fixed income portfolio has dropped by 5% over the past 4 years. This means that the value of their portfolio has decreased by 5% compared to its initial value. On the other hand, the Consumer Price Index (CPI) has dropped by 2% during the same period. The CPI is a measure of inflation and represents the average change in prices of goods and services.

Since the customer's portfolio has experienced a decline of 5%, which is larger than the 2% drop in the CPI, it indicates that the value of their portfolio has decreased at a higher rate than the general decrease in prices. In other words, the purchasing power of their portfolio has been eroded to a greater extent than the overall decrease in the cost of goods and services measured by the CPI.

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Answer:

x - 4

Step-by-step explanation:

The difference means subtraction

The algebraic expression of the phrase is x-4.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given phrase:

The difference of x and 4.

Here, we have the phrase difference.

So, we will use the subtraction operation.

So, the algebraic expression,

x - 4.

Therefore, x -4 is the algebraic expression.

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Volume = (base area x heigh)/3

base area = 160m x 160m

base area = 25600 m²

Volume = (25600 m² x 91 m) / 3

Volume = 776533.333 m³

the volume is 776533.333 m³

The characteristics of the normal distribution can be used to determine the likelihood that X equals 19.62 because X is a normally distributed random variable with a mean of 12 and a standard deviation of 3.

We must compute the z-score, which counts the number of standard deviations a given result is from the mean, in order to determine this probability. Calculating the z-score is as follows:

z = (x - μ) / σ

If the supplied value, x, the mean, and the standard deviation are all given.In this instance, x=19.62, =12, and =3 respectively. By replacing these values, we obtain:

z = (19.62 - 12) / 3 ≈ 2.54

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Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

After answering the presented question, we can conclude that Pythagorean theorem Therefore, the value of x is 15.

The Pythagorean theorem is a fundamental mathematical principle that describes the relationship between the sides of a right triangle. It states that the sum of the squares of the other two sides' lengths equals the square of the hypotenuse's length (the side opposite the right angle). The mathematical theorem is as follows: c2 = a2 + b2 Where "c" denotes the hypotenuse length and "a" and "b" represent the lengths of the other two sides, known as the legs.

Pythagorean theorem

\(x^2 = 12^2 + y^2\\y/x = 3/5\\y = (3/5)x\\x^2 = 12^2 + (3/5)^2 x^2\\(1 - (3/5)^2) x^2 = 12^2\\(1 - 9/25) x^2 = 12^2\\(16/25) x^2 = 12^2\\x^2 = (25/16) * (12^2)\\x = (5/4) * 12 = 15\\\)

Therefore, the value of x is 15.

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In the △IGH, the measurement of the angles are m∠G = 114°, m∠H = 49°, and m∠I = 17°.

What is an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Given that,

m∠G = (7x - 5)°, m∠H = (3x - 2)°, and m∠I = x°.

The sum of interior angles of a triangle is 180°.

Therefore,

m∠G + m∠H + m∠I = 180°

Putting m∠G = (7x - 5)°, m∠H = (3x - 2)°, and m∠I = x°:

(7x - 5)° + (3x - 2)° + x° = 180°

Combine like terms:

(7x + 3x + x) - (5 + 2) =180

11x - 7 = 180

Add 7 on both sides:

11x = 187

Divide both sides by 11:

x = 187/11

x = 17

Now putting x = 17 in m∠G = (7x - 5)°, m∠H = (3x - 2)°, and m∠I = x°:

m∠G = (7×17 - 5)° = 114°

, m∠H = (3×17  - 2)° = 49°

m∠I =  17°

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Answer:

1 in 1191

Step-by-step explanation:

because if 9 tickets have been given away you would have to subtract that from the 1200 which is 1191

Answer:

262/2 = 131

131 X 5 = 655

the answer is B: 655/262

Answer:

7

Step-by-step explanation:

Answer:

y=-3

y=3/4x +0

Step-by-step explanation:

Answer:

-2, 14 is your answer.  Hope this helps!

Step-by-step explanation:

If k(-5, 10) is midpoint and (-8, 6) is one side then you add -3 and subract 4 to get L.  That means subtract 3 from -5 and add 4 to the 10.

Answer:

6.40312423 hope that helps

Answer:

\(\sqrt{53}\)

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (- 5, 8) and (x₂, y₂ ) = (- 3, 1)

d = \(\sqrt{(-3+5)^2+(1-8)^2}\)

   = \(\sqrt{2^2+(-7)^2}\)

   = \(\sqrt{4+49}\)

    = \(\sqrt{53}\)