Charlie kicked the football 71 yards. He kicked it 48 more yards than his brother.

How far did his brother kick the football?

Show your work in the box below.

Answer:

Example 1:

In a bag of red and green sweets, the ratio of red sweets to green sweets is 3:4. If the bag contains 120 green sweets, how many red sweets are there?

Solution:

Step 1: Assign variables :

Let x = red sweets

Write the items in the ratio as a fraction.

red/green

Step 2: Solve the equation

Cross Multiply

3 × 120 = 4 × x

360 = 4x

Isolate variable x

x=360/4

Answer: There are 90 red sweets.

Example 2:

John has 30 marbles, 18 of which are red and 12 of which are blue. Jane has 20 marbles, all of them either red or blue. If the ratio of the red marbles to the blue marbles is the same for both John and Jane, then John has how many more blue marbles than Jane?

Solution:

Step 1: Sentence: Jane has 20 marbles, all of them either red or blue.

Assign variables:

Let x = blue marbles for Jane

20 – x = red marbles for Jane

We get the ratio from John

John has 30 marbles, 18 of which are red and 12 of which are blue.

red/blue

We use the same ratio for Jane.

red/blue

Step 2: Solve the equation

Cross Multiply

3 × x = 2 × (20 – x)

3x = 40 – 2x

Isolate variable x

x=40/5

John has 12 blue marbles. So, he has 12 – 8 = 4 more blue marbles than Jane.

Answer: John has 4 more blue marbles than Jane.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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Answer:

3/35

Step-by-step explanation:

3*1=3

5*7=35

3/35

Answer:

37.5

Step-by-step explanation:

25÷ 2 is 12.5

so 1/5 of the pitcher is 12.5 ounces

theres 3/5 left to fill in the pitcher

so the answer is 12.5 x 3 which is

37.5

When revolved over the {x} axis will occupy more volume as compared to when revolved over the {y} axis.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the volume occupied between the lines -

x = 4, y = x and x - axis.

Refer to the image attached. The reflection over the {x} axis will occupy more volume as compared to the reflection over the {y} axis. The figure generated in both the cases would be a cuboidal prism structure.

Therefore, when revolved over the {x} axis will occupy more volume as compared to when revolved over the {y} axis.

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Answer:

a. positive.

Step-by-step explanation:

Matching and discordant pairs are used to describe the relationship between pairs of observations. To calculate matched and discordant pairs, data is treated as ordinal values. Therefore these are suitable for your application. The number of concordant and discordant pairs is used in Kendall's tau calculations, whose purpose is to determine the relationship among two ordinal variables.

If the direction of the classifications is the same, the pairs are concordant.

A pair of observations is discordant, suppose the subject being with an increased value on one variable is lower on the other.

SO; When discordant pairs exceed concordant pairs in a P-Q relationship, Kendall's tau reports a(n) positive association between the variables under study.

Answer:

1/6

Step-by-step explanation:

I just did the problem myself! Photo evidence included!

Answer:

4π

Step-by-step explanation:

Circumference = π X D (D = diameter = 2 X radius).

Diameter = 32.

Circumference = π (32) = 32π.

Divided into 8 slices = 1/8 of the circumference = 32π/8 = 4π.

Answer:

y = 5

Step-by-step explanation:

3(3y-8)=21

expand:

9y - 24 = 21

+24 to both sides to get 9y on its own.

9y = 45

divide both sides by 9 to get y on its own.

therefore

y = 5

hope this makes sense!

Answer: Solve for

y

by simplifying both sides of the equation, then isolating the variable.    

y≈−1.21698677,2.94165923

Step-by-step explanation:

Answer:

970.150503788

Step-by-step explanation:

the answer is 0.875 soo use square root on both of them

Answer:

9x - 2x + 62 = 9x + 24

Number of correct answer each obtained = 19

Step-by-step explanation:

Given that:

Number of correct answers = x

POINTS for correct answers = 9

POINTS for incorrect answers = - 2

SCHOOL A:

Number of correct answers = x

Number of incorrect answers = x

Initial point = 62

Initial point + 9(number of correct answers) + - 2(number of incorrect answers)

62 + 9x - 2x

SCHOOL B :

Number of correct answers = x

Number of incorrect answers = 0

Initial point = 24

Initial point + 9(number of correct answers) + - 2(number of incorrect answers

24 + 9x

Since they end up tied :

School A = School B

62 + 9x - 2x = 24 + 9x

9x - 2x + 62 = 9x + 24

Number of correct answers gotten :

9x - 2x + 62 = 9x + 24

7x + 62 = 9x + 24

7x - 9x = 24 - 62

-2x = - 38

x = 19

Hence, Number of correct answers each obtained = 19

Answer:

Step-by-step explanation:

\(y=29\times2^x\\put~x=x+1\\y1=29\times2^{x+1}=29\times2^x\times2=y\times 2\\y_{n+1} =2y_{n}\)

The values of m that can fit into the equation m² = 16 will be m = ±4.

It should be noted that a equation is simply used to illustrate the relationship between the variables that are given. From the information, it should be noted that the equation is illustrated as m² = 16.

Since m² = 16, we need to find the square root. This will be illustrated as:

m² = 16

m = ✓16

m = 4

It should be noted that (-4) × (-4) = 16 and 4 × 4 = 16.

Therefore, the correct option is m = ±4

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Answer:

3 11/15

Step-by-step explanation:

Answer:

3 11/15

Step-by-step explanation:

the 1/3 and 2/5 cannot be added properly, so we must make the denominator the same for both sides. So we make it fifteen.

The new equation is: 1 5/15 + 2 6/15.

1 5/15 + 2 6/15 = 3 11/15.

hope this helps :)

Answer:

\(a_n=3(-3)^{n-1}\)

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence: \(a_n=ar^{n-1}\)

where:

Given:

To find the common ratio r, divide consecutive terms:

\(\implies r=\dfrac{a_2}{a_1}=\dfrac{-9}{3}=-3\)

Therefore, the equation is:

\(a_n=3(-3)^{n-1}\)

Answer:

A, 11.7

Step-by-step explanation:

B, No

Answer:

45 people do not drink tea

Step-by-step explanation:

✧ \( \underline{ \underline{ \large{ \tt{S\: O \: L \: U \: T \: I\: O \: N}}}} : \)

✧ \( \underline{ \underline{ \large\tt{L \: E \:T \:' S \: \: S \: O \: L \: V\: E}}} : \)

Number of people who do not drink tea = n ( U ) - n ( only T ) + n ( T ∩ C )

⇾ \( \large{ \tt{121 - (18 + 25)}}\)

⇾ \( \large{ \tt{121 - 43}}\)

⇾ \( \boxed{\large{ \tt{ 78}}}\)

\( \boxed{ \boxed{ \tt{Our \: Final \: Answer : \underline{ \text{78}}}}}\)

☄( Correct me if I'm wrong! )

⋆ Hope I helped ! ⋆

Have a wonderful day / night ! ♡

Let me know if you have questions regarding my answer! ツ

♪ \( \underline{ \underline{ \mathfrak{Carrry \: On \: Learning}}}\) !! ✏

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

ANSWER

H=11

step-by-step explanation

\(v = \pi {r}^{2} \\ = 1243.44= 3.14 \times 6 \times 6 \times h \\ = 1243.44=113.04h \\ = \frac{1243.44}{113.04} = \frac{113.04h}{113.04} \\ = h = 11 \)

The composition of the fuctions g(x) and f(x) evaluated in x = 4 is equal to:

g( f(4)) = 45

Here we have two functions f(x) and g(x), such that:

g(x) = 3.25*x + 6

And f(x) is defined by the table:

x            f(x)

-2            -1

0             3

 4            12

7              9

19             6

And we want to find the composition of g(x) and f(x) evaluated in x = 4.

g( f(4))

By using the table of f(x), we can see that f(4) = 12

Then:

g( f(4)) = g(12)

Evaluating g(x) in x = 12 we get:

g(12) = 3.25*12 + 6 = 45

Then we conclude that g( f(4)) = 45

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Answer:

=34602838637675

Step-by-step explanation:

=−519601+(62626626)(552526)

=−519601+34602839157276

=34602838637675

The set of ordered pairs above: is a function.

The mapping diagram above: is a function.

y = x²: is a function.

The table above: is not a function.

In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).

In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).

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The display that makes it easier to see the median of the songs is B. The box plot.

The display that allows us to see the mode is 10 songs is A. the Dot plot.

The box plot is such that the box that is denoted, has a line that runs within it. This line is the median. The box plot therefore easily shows that the median is 10 songs.

The dot plot makes it easier to see the mode because the mode is the number of songs that is the highest. This is seen at 10 songs because there are more dots there.

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Answer:

como??..................

Answer:

The rate should be 4:1 or 4 gallons of water that comes out of the pipe every minute.

Step-by-step explanation:

Hope This Helps!

Extraneous solutions are untrue solution of an equation

Mike does not obtain any extraneous solutions

The equation is given as:

\(\sqrt{z^2+2z-3}=z-3\)

When squared, it becomes

\(z^2+2z-3=z^2-6z + 9\)

Evaluate the like terms

\(2z-3=-6z + 9\)

Collect like terns

\(6z + 2z = 9 + 3\)

Evaluate the like terms

\(8z = 12\)

Divide through by 8

\(z = 1.5\)

Substitute 1.5 for z in the given equation

\(\sqrt{z^2+2z-3}=z-3\)

\(\sqrt{1.5^2+2*1.5-3}=1.5-3\)

Evaluate

\(\sqrt{2.25}=-1.5\)

Determine the square root of 2.25

\(-1.5=-1.5\)

Hence, Mike does not obtain any extraneous solutions

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