-11x-y+3z=-21
(5x-y-5z=-5)
(3x+y+z=13)

The correct equations which can be used to represent when she will be able to purchase the bicycle she wants are:

Given, Eva wants to buy a bicycle.

The cost of bicycle is = $250

Saving's of Eva = $125

Eva plans on washing cars for $25 per car.

Eva wash 'c' cars to have enough to purchase the bicycle.

cost of bicycle = saving's of Eva + Eva washing 'c' cars for $25 per car.

⇒ 250 = 125 + 25c

arrange the like terms on one side.

⇒ 250 - 125 = 25c

⇒ 125  = 25c

⇒ 25c = 125

⇒ c = 125/25

⇒ c = 5

hence Eva washes 5 cars to earn $125 which gets added to the savings and becomes the cost of the bicycle she wants to purchase.

⇒ cost of bicycle = 125+25(5)

⇒ cost of bicycle = 125+125

⇒ cost of bicycle  = $250

Hence we got the required answers.

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Answer:

AAS

Step-by-step explanation:

Because of vertical angle theorem, angle rts and vtu are congruent. This means there are 2 congruent angles with a non-included side

The Nya will pay $46.42 for the sweater. The decimal equivalent of a 20 percent discount is 0.20. To calculate the savings in dollars, multiply the decimal discount by the item's price. For instance, if the item's original price is $24, you would multiply 0.2 by that amount to get $4.80.

We have been given that Nya wants to buy a sweater that had an original price of $55. The sweater is now discounted 20%.

the price of sweater after20% discount is 55-20% of 55

The price of the sweater after discount =55-(20/100*55)

The price of the sweater after discount=55-(0.20*55)

The price of the sweater after discount=55-11

The price of the sweater after discount=44

SO  The price of the sweater after discount is $44

Now let us find the price of sweater after adding 5.5% sales tax

The price of sweater after sales tax =44+(5.5/100*44)

The price of sweater after sales tax=44+(0.055*44)

The price of sweater after sales tax=44+2.42

The price of sweater after sales tax=46.42

$46.42 is paid for sweater after sales tax

Hence, The Nya will pay $46.42 for the sweater.

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25

1) We must start by reminding the binomials. Since this question refers to a perfect square trinomial then we can write:

2) Now we can look at the expression. Let's start by dividing that 10 by 2, since we have to write that -10x as 2 times the product of x and the other term:

Note that the second term is 5²= 25

3) Hence, the answer is 25

The values of the functions is  ,

(a) f(2) = -6

(b) f(4) = -2

(c) f(-3) = 19

In the question ,

it is given that the function is f(x) = x² - 4x - 2

we have to find the value of f(2) , f(4) , f(-3)

Part(a)

to find f(2) , we substitute x = 2 in the function

On substituting , we get

f(2) = 2² - 4*2 - 2

= 4 - 8 - 2

= 4 - 10

= -6

Part(b)

to find f(4) , we substitute x = 4 in the function f(x)

On substituting , we get

f(4) = 4² - 4*4 - 2

= 16 - 16 -2

= 0 - 2

= -2

Part(c)

to find f(-3) , we substitute x = -3 in the function

On substituting , we get

f(2) = (-3)² - 4*(-3) - 2

= 9 + 12 -2

= 9 + 10

= 19

Therefore , The values of the functions is  , (a) f(2) = -6  , (b) f(4) = -2 ,  (c) f(-3) = 19

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The mid-point of two coordinates is the average of the x and y coordinates thus the midpoint of the line segment with endpoints (-6,-10),(-2,-8) is (-4,-9).

A line section that can connect two places is referred to as a segment.

A line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

The midpoint associated with two points (x₁, y₁) and (x₂, y₂) is given by

x = (x₁ + x₂)/2 , y = (y₁ + y₂)/2

x = (-6 - 2)/2 = -4 , y = (-10 - 8)/2 = -9

So, the coordinate will be (-4,-9).

Hence "The mid-point of two coordinates is the average of the x and y coordinates thus the midpoint of the line segment with endpoints (-6,-10),(-2,-8) is (-4,-9)".

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Answer:

45%

Step-by-step explanation:

In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?

P (no bro / yes sis) = P(no bro) - P(sis and bro)

       = 12/20 - 3/20

       = 9/20

       or 45%

The number of pages that Kamala needs to reach each day is p ≥ 30.

Here are inequality signs and what they mean:

The inequality sign that would be used is ≥. This is because the pages Kamala needs to read each day  can be equal to 235 or greater than 235

25 + 7p ≥ 235

Combine similar terms: 7p ≥ 235 - 25

Add similar terms:  7p ≥ 210

Divide both sides of the equation by 7: p ≥ 210 / 7

p ≥ 30

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Answer: A z=9

Step-by-step explanation:

Answer:

z = 12

Step-by-step explanation:

To understand the equation, you must first know that m∠a = 108°. It equals that because a regular five-sided polygon has an interior angle of 108° each.

Next, you would want to group all constants to the right side of the equation. By doing so, you want to subtract 72 from both sides.

(3z + 72) - 72 = 108 - 72

3z = 36

Lastly, you want to isolate the z by dividing 36 by 3.

z = 36 ÷ 3

z = 12

The dimensions given are as follows;

Base a = 36

Base b = 30

Height = 20

The area is derived as follows;

The area therefore is 660 square inches

The given expression is 3 x (5-2)-1

From the options

If Orlando has 5 actions figures.

He decides to give 2 of them to his younger brother, then he will have (5-2) action figures left

His parents were happy with him and tripled what he had left

3 x ( 5 -2 ) action figures.

If he had so many actions figures after that and he gave his brother 1 more action figure then he will have

3 x ( 5-2) - 1 action figures left.

The right answer is therefore option B

Answer: 23 - 19 = 4

Step-by-step explanation:

Answer:

how many does eat cookies left??? what

Step-by-step explanation:

anyway, it should be 4 cookies i guess?

23 - 19 = 4

...unless this is like a trick question with bad grammar

Answer:

r = 23.7

Step-by-step explanation:

17 = r - 6.7 ( add 6.7 to both sides )

23.7 = r

A) distribution of x and its parameter(s) is (λ^x e^-λ ) / x!  

B) standard deviation of x is 1

C) probability that x is (inclusively) within one standard deviation of the mean of x is 0.7358

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

A) The poisson distribution with mean is followed by X = λ = 1

Therefore, ≈ (λ = 1)

Distribution of X is:

(λ^x e^-λ ) / x!   ,    x = 0, 1, 2, 3 ......

B) Standard Deviation of X is :

σx = √x = 1

C) Probability of X = P (-1 ≤ x ≤ 1)

P(x = 0) + P(x = 1)

= (1⁰ e⁻¹) / 0! + 1¹ e-¹ / 1!

= 2e⁻¹

= 0.7358

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Answer:

Yes, X = 3 is a solution

Step-by-step explanation:

We start by inputing 3 into the equation giving us -1 > -(3)/2

This means we have -1 > -3/2

Now we have to determine if this statement is true.

-1 Is greater than -3/2, because -3/2 is -1.5 as a decimal which is less than -1.

Meaning 3 is a solution

Answer:

12

Step-by-step explanation:

The mark up percentage gained by the shopkeeper is 400%.

For the given question.

The cost of the item is $103.

The customer pays is $515.

The mark up percentage is -

mark up percentage = 515 - 103 / 103

mark up percentage = 4 × 100%

mark up percentage = 400 %.

Thus, the mark up percentage gained by the shopkeeper is 400%.

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The equation of the Pythagorean Theorem  in the triangle  is 25^2 = 24^2 + 7^2

From the question, the side lengths of the triangle are given as

25, 24 and 7

The Pythagorean Theorem states that:

Hypotenuse^2 = Sum of the squares of the other sides

Where

The other sides are the smaller sides

This in other words mean that:

Other sides = 24 and 7

Hypotenuse = 25

Substitute the known values in the above equation

25^2 = 24^2 + 7^2

Hence, the Pythagorean Theorem equation is 25^2 = 24^2 + 7^2

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1) Gathering the data

Strategy:

Running : 2x As he swims

Biking: 4x Runs

Runs = 3 miles

Then

2) Runs = 3 miles Swims = 6 miles Biking = 12 miles

The Total distance will be the sum of those activities:

3+6+12=21 miles

Answer: Uncle Luke is at 50 years old

Step-by-step explanation: I went through trial and error first with simple t-charts.  In the first one, I simply implemented the piece of info that Luke was 5 times older than the nephew. But then, I realized that Luke would always be 5 years older than his nephew. Here was the info for that t-chart:

[tex]\left \{ {{N=1} \atop {L=5}} \right. \left \{ {{N=2} \atop {L=6}} \right. \left \{ {{N=3} \atop {L=7}} \right.[/tex]

Next, I tried a chart starting with the nephew at 2 years of age, and got an age gap of 8. This helped me realize that I would have to start at 4 years of age in order to have an age gap of 16
[tex]\left \{ {{N=2} \atop {L=10}} \right.[/tex]        |             [tex]\left \{ {{N=4} \atop {L=20}} \right. \left \{ {{N=5} \atop {L=21}} \right.[/tex]  (remember there are 1 increments)

Next, I realized that N=4, L=20 was 40 years ago, so if now the nephew was 44, we can increment 16 to get 50
44+16=50

The measure of each angle in the diagram is as follows:

When lines intersect, angle relationships are formed such as vertically opposite angles, adjacent angles etc.

Therefore, the measure of each angle in the diagram can be calculated as follows:

10y = 7x + 4 (vertically opposite angles)

3y + 11  = 4x -22(vertically opposite angles)

Therefore,

10y - 7x = 4

3y - 4x = -22 - 11

10y - 7x = 4

3y - 4x = -33

multiply equation(ii) by 1.75

10y - 7x = 4

5.25y - 7x = - 57.75

subtract equation(ii) from equation(i)

Hence,

4.75y = 61.75

y = 61.75 / 4.75

y = 13

Therefore,

10(13) - 7x = 4

130 - 7x = 4

130 - 4 = 7x

7x = 126

x = 126 / 7

x = 18

Therefore, the unknown angles are as follows;

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A reciprocal parent function represents a simple rational function, that is, a function that has the variable x as the denominator.

The system of equations to represent this scenario is x + y = 20  and 2x + 4y = 70  .

In the question ,

it is given that

the total number of tables in the restaurant = 20 tables

let the number of round tables be "x"

let the number of rectangular tables be "y" .

number of person that can seat on a round table = 2

So , the number of person that can seat on "x" round tables = 2x person

number of person that can can seat on rectangular table = 4

So , the number of person that can seat on "y" rectangular tables = 4y person

since total number of table is 20

So , the equation is x + y = 20

and total number of person that can seat are 70 seats .

So , the equation is 2x + 4y = 70

Therefore , The system of equations to represent this scenario is x + y = 20  and 2x + 4y = 70  .

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Answer:

6 or 5.7

Step-by-step explanation:

w² = 32

w = root 32

w = 5.656854249

w = 6 or 5. 7

3x^2 + 1 = 5x

3x^2 - 5x + 1 = 0

quadratic formula

where ax^2 + bx + c = 0

so

You can see that the 25 - 12 = 13 so the answers are A and B

4.5 = m + 2.75

Solving for m:

Subtract 2.75 from both sides:

4.5 - 2.75 = m + 2.75 - 2.75

1.75 = m

m = 1.75

Answer:

See below

Step-by-step explanation:

Length (L), volume (V), weight(W), or mass(M)

Mile     L

Cup           V

Pound   W

Centimeter L

Liter     V

Gram   M

Pint           V

Yard   L

Kilogram   M

Teaspoon  V

Milliliter    V

1. Mile

2. Cup

3. Pound

4. Centimeter

5. Liter

6. Gram

7. Pint

8. Yard

9. Kilogram

10. Teaspoon,

11. Milliliter

Answer:

The answer is to the question A

Answer:

Its B 100%

i took the test and got it right

k bye :):):):):):):)

Step-by-step explanation: