Solve system of equations.
1/3x-3 y=-4
x-9 y=-12

Answer:

40

Step-by-step explanation:

Answer: Look at the explanation.

Step-by-step explanation: So first you move the 6x to the left side of the equal sign, then u turn it into a negative number. Next, you do 7x-6x=5. Which is 2x=5. And to find x you do 5÷2. Which is 2.5.

Hope this helps!

Answer:

x = -5

Step-by-step explanation:

Let's solve the problem,

→ 7x + 5 = 6x

→ 7x - 6x = -5

→ [ x = -5 ]

Hence, the answer is -5.

The total cost of a Jalapeno is $ 9.24

Three friends ate at a restaurant and ate nachos for $19.95 and jalapeno poppers.

Three of them paid $9.73 each

So the total amount of money paid by three friends = 3×9.73

                                                                          = 29.19

Now we have to calculate the cost of jalapeno poppers

Therefore we have,

Total amount of money paid = cost of nachos + cost of jalapeno poppers

29.19 = 19.95 + cost of jalapeno poppers

The cost of jalapeno poppers =29.19 - 19.95

                                           = $9.24

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Answer: The cost is $9.24 for the peppers.

Step-by-step explanation: Just do math.

The odds that a carton of eggs will have at least one cracked egg is 97.5 %

The question has to do with probability

Probability is the likelihood for an event to occur. It is given by P(event) = number of required outcomes/total number of possible outcomes.

Given that the probability that a carton of eggs taken from the cooler at a store will have at least one cracked egg is 2.5%. Let the probability of at least one cracked egg be P(egg ≤ 1) = 2.5% = 0.025

Now, since we require the probability of  that a carton of eggs will have at least one cracked egg, that is the number of cracked is greater than 1.

Let the probability of cracked eggs greater than 1 be P(egg ≥ 1).

From the law of probability

P(egg ≤ 1) + P(egg ≥ 1) = 1

So,  P(egg ≥ 1) = 1 -  P(egg ≤ 1)

P(egg ≥ 1) = 1 -  0.025

P(egg ≥ 1) = 0.975

P(egg ≥ 1) = 0.975 × 100 %

P(egg ≥ 1) = 97.5 %

So, the odds that a carton of eggs will have at least one cracked egg is 97.5 %

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Answer:

$134.09

Step-by-step explanation:

you take 156.34 and minus 15.50, then you take that and minus it by 6.75

Answer $134.09

why 156.34 - 15.50+6.75=134.09

The solution to the inequality is: n < -9.

Given the inequality statement, 4n - 6 (n + 1) > 12, to solve for the value of n, we would isolate the n to one side of the inequality as shown below:

4n - 6 (n + 1) > 12

Distribute

4n - 6n - 6 > 12

Combine like terms

-2n - 6 > 12

-2n - 6 + 6 > 12 + 6

-2n > 18

Divide both sides by -2

-2n/-2 < 18/-2

n < -9

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The simplification of the expression ∛(1/16) × (-54/1) is -27√4/32.

Rationalization is the process of removing a radical as well as imaginary number from of the denominator of an arithmetic fraction. That is, in a fraction, remove the radicals so that the denominator just includes a rational number.

Now the expression is given as;

= ∛(1/16) × (-54/1)

= -54/ ∛16

Taking cube root of 16.

= -54/(4√4)

= -27/2(√4)

By the process of rationalization, multiply the numerator and denominator by the a radical that removes the radical from the denominator which is √4.

= -27×√4/2(√4×√4)

Simplifying the equation;

= -27√4/32

Therefore, the simplification of the expression is -27√4/32.

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Answer:

3/4 x 8 1/2 = 6.375

Answer:

13 - 12s

Step-by-step explanation:

= 8 - 3s + 6 - 5s - 1 - 4s

= 13 - 12s

Answer:

8+3=11

(-s + 2) - 5s - 1 - 4s = -10s + 1

Answer: y∈(-∞,3]

Step-by-step explanation:

[tex]y=-|x+1|+3[/tex]

Answer:

yes

Step-by-step explanation:

-24 is. a whole number so it would be greater

The Total amount to pay including the tax will be $132.52

In the given question, For the Total amount, we know that we have to add the Tax rate to the Principal amount. It is mentioned that the Principal amount P = $123.28 and the Tax rate is 7.5%. Firstly we have to calculate what amount of interest is to be charged upon the Principal amount. To calculate Interest we have the formula :

=>  I = (P * R)/100 , where I = Interest, P = Principal Amt, R = Interest Rate

=>  I = (123.28 * 7.5)/100   => I = 9.24

We get Interest amount = $9.24

To calculate the Total amount, We have the formula: T = P + I

where, T = Total Amount, P = Principal Amount, and I = Interest Amount

=>  T = 123.28 + 9.24  => T = 132.52

Hence, the Total Amount is $132.52

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Answer: It is likely B

Step-by-step explanation:

1. Subtract 6:
6 -6 + 3y < 9 -6

2. Divide by 3:
3y/3 < 3/3

3. Simplify:
y < 1

--------------------------------------

1. Subtract 3y:
4y -3y < 3y -3y + 2

2. Simplify:
y < 2

(i) So the answer is likely B

We get the consecutive numbers as 257 and 258 from the equation 2 x + 1 = 515.

We are given that,

The sum of 2 consecutive numbers is 515.

Consecutive numbers:

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers. For example: 1 and 2 are consecutive numbers, 34 and 35 are also consecutive numbers.

Here let the first number be x

Second number will be:

x + 1

We need to find their sum:

x + x + 1 = 515

2 x + 1 = 515

2 x = 515 - 1

2 x = 514

x = 514 / 2

x = 257

x + 1 = 257 + 1 = 258

Therefore, we get the consecutive numbers as 257 and 258 from the equation 2 x + 1 = 515.

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The area of the window is 305.12 square inches.

given that

jaylon created this stained glass window the upper two coners are quater ciecleseach with a radius of 4 inches.

The window's area is equal to the sum of the areas of a rectangle, two quarter circles, and the smaller square between the two upper corners.

The quantity of space occupied by a flat surface with a specific shape is referred to as the area.

now, find the area of rectangle

A = length x breadth

A = 12 x (26-4)

A = 12 x 22

A = 264 square inches

find the area of the two quarter circle

[tex] A= 2( \frac{1}{4} (3.14) \times {4}^{2} ) \\ A = 25.12 {in}^{2} [/tex]

Find the area of the smaller square between the two upper corners

A = (12-8) (4)

A = 4 x 4

A = 16 sq.in

now, find the total area

A = 264 + 25.12 + 16

A = 305.12 square inches

Hence, the area of the window is 305.12 square inches.

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Answer:

Step-by-step explanation:

Since zero of a polynomial function is a value of the variable at which the function's value is 0, 0=4(-1)^3+k(-1)^2-(-1)-1, for the given polynomial q(y)=4y^3+ky^2-y-1

simplifying the above gives: 0= -4+k+0

k=4

Step-by-step explanation:

1111111111111111111111

Answer:

2nd power

Step-by-step explanation:

3rd is cubed and 1st is: example 3^1 = 3

square root is √

The best measure to determine the variability is mean which is equal to 69.48

We are given the data:

48, 55, 60, 61, 62, 63, 64, 65, 66, 66, 68, 70, 70, 71, 71, 72, 74, 74, 75, 76, 77, 77, 78, 79, 81 and 86​

The best measure to determine the variability is mean.

Total number of observations = 26

Sum of observations (S) will be:

S = 48 + 55 + 60 + 61 + 62 + 63 + 64 + 65 + 66 + 66 + 68 + 70 + 70 + 71 + 71 + 72 + 74 + 74 + 75 + 76 + 77 + 77 + 78 + 79 + 81 + 86​

S = 1809

Mean = Sum / total

Mean = 1809 / 26

Mean = 69.58

Therefore, the best measure to determine the variability is mean which is equal to 69.48

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Answer:

r = S/(2πh)

Step-by-step explanation:

S = 2πrh

divided by (2πh)

r = S/(2πh)

The area of the actual park in square meters will be 54000m².

The length of the actual park will be:

= 180/6 × 10

= 300m

Width = 180m

Therefore, the area will be:

= Length × Width

= 300 × 180

= 54000 m²

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Convert the word problem into an equation as follows:

Let's use the variable 'x' for girls and 'x+7' for boys.

x + x + 7 = 29

Combine like terms

2x + 7 = 29

Subtract 7 from both sides

2x = 22

Divide 2 into 22 to get x

x=11 girls

x+7 = 18 Boys

As per the question, without replacement draw 5 cards from a deck of 52 playing cards. The probability to draw 5 cards can be written as:

[tex]P(getting2 spades) = \frac{P(E)}{n(E)} = \frac{13X12}{52X51} =\frac{1}{17}[/tex]

Therefore, the probability of getting at most two spades is [tex]\frac{1}{17}[/tex].

What is probability?

Probability is the method to measure the occurred events or the occurrence of the events. It is also used to analyze the outcomes of random events. To calculate the probability of a playing card which is [tex]52[/tex] in numbers. And it is divided into fours cards and each are in the count of [tex]13[/tex].These fours cards are heart, spades, diamond and club.

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Answer:

-5

Step-by-step explanation:

Let's assume the you are moving horizontally along the number line. If you start at -4 and jump to -6, you have made 2 jumps to the left(-4;-5;-6). So halfway between them (the midpoint) is 1 jump (half of 2 jumps).

1 jump to the left of -4.... You land at -5.

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If the upstairs switch is in the down position and the downstairs switch is in the up position, the light will be off

The given parameters are

Switches = 2 i.e. top and bottom

Also, we have:

When the upstairs switch is up and the downstairs switch is down, the light is turned on.

This means that the light is only on when the upstairs switch is up and the downstairs switch is down

Any other position of the switches, the light is off

From the question, we have

Upstairs switch is in the down position and the downstairs switch is in the up position

This is different from the required position to on the light

Hence, the light will be off

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Answer:

What is the question

Step-by-step explanation:

Answer:

8 - positive

9- no correlation

10- negative

11- positive

12- No correlation

13- negative

14- no correlation

15- no correlation

Step-by-step explanation:

8- Positive because the more hours a person has driven, the more number of miles he/she drives increases.

9- the number of siblings a student has should not affect the grade they have in math class

10- negative because as a car gets older, the value decreases

11- positive because the longer a cd is out the more sales they get

12- In a logical sense, it could be positive, because someone who dropped out of highschool will get paid less than someone who went to school for 18 years and graduated with a hs diploma. it can also mean no correlation. therefore I think it is positive.

13- negative because the more songs someone downloads, the more the ipods space decreases

14- no correlation, the amount of computers in your house does not change how much you message your friends

15- no correlation, your house can be 3 years old and have 5 people living in it

The value of x in the figure is 4

From the attached figure, we have the following parameters:

DE = x + 1

BC = 4x - 6

The triangles ADX and ABC are similar triangles

Based on the representation of the sides, we have:

BC = 2 * DE

So, we have

2 * (x + 1) = 4x - 6

Expand

2x + 2 = 4x - 6

Evaluate the like terms

2x = 8

Divide by 2

x = 4

Hence, the value of x in the figure is 4

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