A system of equations is shown.

x = -2y - 3.5

-5x + 3y = -15

What is the value of x + y?



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Answer:

5216.844

Step-by-step explanation:

Let x be the fourth number.

We know that the sum of the four numbers is 20500:

2341.578 + 10690 + x + 2341.578 = 20500

Simplifying and solving for x:

x = 20500 - 2341.578 - 10690 - 2341.578

x = 5216.844

Numbers whose decimals form goes on forever are best represented as fractions because they are non-terminating decimals

The decimal numbers are represented as:

A and B

Where

A > B

Numbers whose decimals form goes on forever are non-terminating numbers, and the complete form cannot be represented using decimals except with the sign .......

Because non-terminating decimals have no end, it is best to represent them as fractions

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Answer:

The trapezoid is D

Step-by-step explanation:

I learned this in 3rd grade

Answer:

25 dollars divided by 1.25 dollars gives a total of 20 tickets Aaron can buy

Answer:

The area of a sector can be found using the formula:

Area of sector = (θ/360) x π x r^2

where θ is the central angle measure in degrees, π is the value of pi, and r is the radius of the circle.

In this case, the radius is given as 12 inches, and the central angle measure is 20°. We can substitute these values into the formula to get:

Area of sector = (20/360) x 3.14 x 12^2

Area of sector = 0.1111 x 3.14 x 144

Area of sector = 50.2656

Rounding this to the nearest tenth gives:

Area of sector ≈ 50.3 in^2

Therefore, the answer is: 15.1 in^2 is not a valid option, and the correct answer is: 50.3 in^2

The increasing and decreasing function is discussed above.

Given is the function f(x).

Increasing and decreasing functions are functions in calculus for which the value of f(x) increases and decreases respectively with the increase in the value of x. We can write -

Therefore, the increasing and decreasing function is discussed above.

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Answer:

The juice bar can sell 3 more cups of the passion juice than the berry juice (last one)

Step-by-step explanation:

Passion: 768/16=48

Berry: 810/18=45

passion can fill 48 cups while berry can fill 45 cups, so passion fills +3

:)

The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.

To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:

\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)

Where:

a= 44cm

height= 44²-22²= 38.1cm

Area= 44²+ 2(44) × √44²/4 + 38.1²

= 1936+88 × √ 484+1452

= 2024× √1936

= 5807.61 cm².

Therefore the closest estimate to the final answer would be 5289.25 cm squared

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Answer:

10.2

Step-by-step explanation:

Answer:10.2

Step-by-step explanation:

Answer:

y=7y=7y=7

Step-by-step explanation:

How to solve your question

Your question is

8+=63

8y+y=638y+y=638y+y=63

Solve

1

Combine like terms

8+=63

8y+y=63{\color{#c92786}{8y}}+{\color{#c92786}{y}}=638y+y=63

9=63

9y=63{\color{#c92786}{9y}}=639y=63

2

Divide both sides of the equation by the same term

3

Simplify

Solution

=7

y=7y=7y=7

Answer:

An ecosystem is a biological community of interacting organisms (including animals, plants, and microorganisms) and their physical environment (such as air, water, and soil).

Step-by-step explanation:

Answer:

Step-by-step explanation:

The selling price of the item at 10% marlkup is $55

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

Using the above as a guide, we have the following:

Selling price = Cost To Store * (1 + Markup)

substitute the known values in the above equation, so, we have the following representation

Selling price = 50 * (1 + 10%)

Evaluate

Selling price = 55

Hence the selling price of the item is $55

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a.The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b.  the probability is 0.1399.

c. the quarterback can expect to throw about 2.27 passes before completing one.

d. the probability is 0.1865.

e. the probability is 0.7349.

The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.

a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:

P(X=k) = \((1-p)^{k-1}\)×p

where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.

The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:

P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰

= 0.56²×0.44

= 0.1399

Therefore, the probability is 0.1399.

c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:

E(X) = 1/p

where p is the probability of completion on each attempt.

In this case, p = 0.44, so the expected number of passes is:

E(X) = 1/0.44

= 2.27

Therefore, the quarterback can expect to throw about 2.27 passes before completing one.

d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:

P(X > 5) = 1 - P(X <= 5)

= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]

= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]

= 0.1865

Therefore, the probability is 0.1865.

e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:

P(X ≥ 4) = 1 - P(X < 4)

where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.

Using the binomial probability distribution table or calculator, we can find:

P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]

= 0.7349

Therefore, the probability is 0.7349.

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Answer:

1.5d+150

Step-by-step explanation:

125 since it increased by 25%. look at the problem below:

125( 1 + 0.01d) then you plug those numbers in and theres your answer :00!!

sammy-6th grade-

The algebraic expression is 1.5d+150.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that 120 is increased by d % and increased by 25% then the expression will be written as below.

E = 1.5d+150.

Hence the algebraic expression is 1.5d+150.

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Answer:

these triangles some is 90°.

72°+2x=90°

2x=90°-72

2x=18

x=18/2

x=9

Answer:

The length of the lot is 150 feet.

Step-by-step explanation:

If the lot is 5:2

Then:

5 (length) for every 2 (width)

2 * 30 = 60

So

5 * 30 = 150.

Answer:

draw the diagram and multiply 5x20

The statement which best explains whether the student is correct is: D. the student is completely incorrect because there is "no solution" to this inequality.

An inequality refers to a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

Since |x-9| is greater than or equal (≥) to zero (0), we can logically infer that this student is completely incorrect because there is "no solution" to this inequality.

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Complete Question:

A student found the solution below for the given inequality.

|x-9|<-4

x-9>4 and x-9<-4

x>13 and x<5

Which of the following explains whether the student is correct?

A. The student is completely correct because the student correctly wrote and solved the compound inequality.

B. The student is partially correct because only one part of the compound inequality is written correctly.

C. The student is partially correct because the student should have written the statements using “or” instead of “and.”

D. The student is completely incorrect because there is “ no solution “ to this inequality.

Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

Answer:

I dont see a graph, but the constant of proportionality the ratio between two directly proportional quantities. two quantities are directly proportional when they increase and decrease at the same rate

Step-by-step explanation:

if you add a graph, ill edit my answer

hope this helps!

The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

According the question,

The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

Where x represents the quantity of additional tours that the tourist wants to add to their travel package.

The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.

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Answer:

3√265

Step-by-step explanation:

The distance between the given points is √265. If all the side are the same length on an equilateral triangle, then the perimeter is 3 times as long.

The distance would be 315 feet which is a certain distance the front wheel gets 10 revolutions more than the back wheel.

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

C = πd

where 'd' is the diameter of the circle

Given that the circumference of the back wheel=9 feet, the front wheel=7 feet. At a certain distance, the front wheel gets 10 revolutions more than the back wheel.

Both wheels must move at the same distance. If the number of revolutions taken by the back wheel is x, then the number of revolutions taken by the front wheel is x+10.

Because the distance traveled is the same as:

⇒ 9x = 7(x+10)

⇒ 9x = 7x+70

⇒ 9x - 7x = 70

⇒ 2x = 70

⇒ x = 35

We obtain x = 35 revolutions.

So the total distance traveled is 35×9=315 feet or 45×7=315 feet.

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a) The value of z-score is -0.299.

c) The IQR value is measure of spread of data,  IQR = 4.25.

d) There is outliers since observations are not less than 30.375 and greater than 47.375.

The z-score is an example of a standardised score. The standard deviation of a data point's divergence from the mean of the distribution is calculated using a z-score.

Given:

Sample Data = 31.5, 36.0, 37.8, 38.5, 40.1, 42.2, 34.2, 36.2, 38.1, 38.7, 40.6, 42.5, 34.7, 37.3, 38.2, 39.5, 41.4, 43.4, 35.6, 37.6, 38.4, 39.6, 41.7, 49.3

(a) The value of z-score is calculated as follows,

μ = \(\sum _{i=1}^n\)/ n = 933.1 /24 = 38.88

σ = 3.61

So, z = X - μ / σ  

 = 37.8 - 38.88/3.61

 = −  0.299

(b) Quartile:

Q₁ = ( n+1/4)th value

= (24+1/4)th

= 6.25th

=  36.2 + 0.25 x ( 37.3 −  36.2 )  

= 36.47

and, M = ( n+1/2)th value

= (24+1/2)th

= (24+1/4)th

=  12.5 t h

= 38.4 + 38.5/2

= 38.45

Q₃ = 3( n+1/4)th

= 3(24+1/4)th

= 18.75 t h  

= 40.6 + 0.75 x ( 41.4  −  40.6 )  

= 41.2

(c) Interquartile​ range

=  Q ₃ −  Q ₁  

= 41.2  −  36.47  

= 4.25

(d) Lower fences =  Q₁− 1.5 ( I Q R )  

                           =  36.75 −  1.5  ( 4.25 )  

                           =   30.375  

Upper fences = Q ₃+1.5

                      =  41 + 1.5( 4.25 )  

                      = 47.375

Hence, there is outliers since observations are not less than 30.375 and greater than 47.375.

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The price of each of these be

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

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Answer:

(5,-5)

Step-by-step explanation:

You're only moving down one number on the y-axis, so you go from -4 to -5, and your x-value remains the same