​Kirk's goal was to save​ $300 for a trip. In the first​ week, Kirk saved​ $16 from his allowance and​ $54 from his job. He spent​ $5 for lunch one day and another​ $2 on the bus. The second​ week, Kirk saved​ $62 and another​ $41 but spent​ $2 for the bus and​ $4 for lunch. How much money did Kirk save after 2​ weeks? Choose the correct answer below and fill in the answer box to complete your choice.

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Explanation:

Check out the diagram below. I've added in the label (4x+13) degrees to the angle adjacent to the (9x-2) degree angle. This is valid due to corresponding angles being congruent when we have parallel lines like this.

The two angles form a 180 degree straight angle

(4x+13) + (9x-2) = 180

4x+13 + 9x-2 = 180

(4x+9x) + (13-2) = 180

13x + 11 = 180

13x+11-11 = 180-11 .... subtracting 11 from both sides

13x = 169

13x/13 = 169/13 .... dividing both sides by 13

x = 13

We can verify this by noticing that

4x+13 = 4*13+13 = 65

9x-2 = 9*13-2 = 115

So, (4x+13)+(9x-2) = (65)+(115) = 180, showing the two angles are supplementary.

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The angles (9x-2) and (6y-1) are also a linear pair. They are adjacent and supplementary

Let's use x = 13 to find the value of y

(9x-2) + (6y-1) = 180

9x-2+6y-1 = 180

9x+6y-3 = 180

9*13+6y-3 = 180 .... plug in x = 13

117+6y-3 = 180

6y+114 = 180

6y+114-114 = 180-114 .... subtract 114 from both sides

6y = 66

6y/6 = 66/6 ...... divide both sides by 6

y = 11

To help confirm,

6y-1 = 6*11-1 = 65

which adds onto the (9x-2) = 115 degree angle to get 180.

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Side note: as an alternative, you can solve 4x+13 = 6y-1 to get the same y value. This is because alternate exterior angles are congruent when we have parallel lines like this.

Answer:

a=12

Step-by-step explanation:

[tex]3a-2a+4=16\\\\(3a-2a)+4=16\\\\(3-2)a+4=16\\\\1a+4=16\\\\a+4-4=16-4\\\\a=12[/tex]

Answer:

The difference in temperature = 27-(-4)=31 degree

Step-by-step explanation:

Answer: I would say that any number

Step-by-step explanation:

I think so because any number to the 0 power is going to be 1.

For example: 6^0=1 21^0=1

Hope it helped!! ;)

Answer:

Acute, angle C = 13

Step-by-step explanation:

replace x with 9

multiply 12(9) = 108

subtract 108 -17 = 91

divide 91 by 7 = 13

[tex]m[/tex]∠[tex]C=13[/tex] so its acute

Answer:

7

Step-by-step explanation:

In matrix T, the value of t₁₃ will be 7.

A set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.

We have to given that;

The matrix T is shown.

We know that;

In any matrix,

⇒ The element a₁₁ shows the position of a₁₁ is in first row and first column.

Thus, The element t₁₃ shows the position of t₁₃ is in first row and third column.

So, In matrix T,

⇒ t₁₃ = 7

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Answer:

34

Step-by-step explanation:

Answer:

5 people wil be left there as you werw also there.

Answer:

the equation does not proove

Step-by-step explanation:

l.h.s

(3-5)(4)

12-20

-8

r.h.s

3(4)-5

12-5

7

therefore, l.h.s is not equal to r.h.s so the equation is wrong

Answer:

A prime number has only two factors: 1 and itself. A composite number has more than two factors

Step-by-step explanation:

Can i have a thanks?

Answer:

It is not an equal diagram it is showing 1/2 instead of 2/3

Step-by-step explanation:

HOPE THIS HELPS!!!     (mark brainliest)

The model is incorrect because 2/3 represents the 2 parts of 3 whole and the model is not representing 2/3.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The model is representing 2/3.

As we can see in the picture the model is not representing 2/3 because 2/3 means 2 parts of 3 whole.

It is not an equal diagram it is showing 1/2 instead of 2/3

Thus, the model is incorrect because 2/3 represents the 2 parts of 3 whole and the model is not representing 2/3.

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Answer:

9.225 x 10^18 is what it is in standard form

Step-by-step explanation:

Answer:

ummm, it should be 9,225,000,000,000,000,000. =D

Step-by-step explanation:

move the decimal at the end of my answer, over to the left 18 spaces, and it should end up back at 9.225!

Answer:

the roots are {-4/3, 4/3}

Step-by-step explanation:

Begin the solution of 11=6|-2z| -5 by adding 5 to both sides:

11=6|-2z| -5 becomes 16 = 6|-2z|.

Dividing both sides by 12 yields

16/12 = |-z|

There are two cases here:  first, that one in which z is positive and second the one in which z is negative.

If z is positive, 4/3 = -z, and so z = -4/3, and:

If z is negative, 4/3 = z

Thus the roots are {-4/3, 4/3}

Answer:

Hyperbola

Step-by-step explanation:

Consider [tex]x=k.[/tex]

Substitute [tex]x=k[/tex] in given equation [tex]x^2+y^2-z^2=81[/tex]

[tex]k^2+y^2-z^2=81[/tex]

[tex]\Rightarrow y^2-z^2=9^2-k^2[/tex]

[tex]\Rightarrow y^2-z^2=(9-k)(9+k)[/tex]

Here, different orientation for [tex]-9<k<9[/tex] then [tex]-9<k[/tex] or [tex]k<9.[/tex]

Hence, the surface equation represents a trace of the hyperbola.

Answer:

6×2/5 --> greater than 1

1×3/8 --> less than 1

4×1/4 --> equal to 1

5×3/4 --> greater than 1

2×1/2 --> equal to 1

3×1/3 --> equal to 1

Step-by-step explanation:

6×2/5 = 12/5 = 2 2/5

1×3/8 = 3/8

4×1/4 = 1

5×3/4 = 23/4 = 5 3/4

2×1/2 = 1

3×1/3 = 1

The maximum number of text messages that you can send or receive next month Next month, you can send or receive up to 45.54 text messages in total.

In mathematics, a point at which a function's value is greatest. If the value is greater than or equal to all other function values, it is an absolute maximum. If it is merely greater than any nearby point, it is a relative, or local, maximum

Considering the information provided;

Given that the monthly expense is $34.99

and $0.11 for each text as well (sent or received)

Suppose y is the whole cost.

Set x as the quantity of text.

The test messages make up the difference between the cost of the plan and the $40 you must spend, which is represented by the equation

4034.99=5.01

in the model for the overall cost,

y=34.99+0.11x.

Count the number of messages you can send, you must divide.

5.01÷0.11

=45.54

The maximum number of messages is 45

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To find explicit formulas, you need two things. The common difference and the first term.

For example, #18

The first term = -15

The common difference = -20 -(-15) = -20 + 15 = -5

y = A + B(n - 1)

A = our first term

B = our common difference

n = the term you want to find in the sequence.

Leta plug our numbers in from #18

y = -15 + -5(n - 1)

Let's find the 4th term in the sequence.

y = -15 + -5(4 - 1)

y = -15 + -5(3)

y = -15 + -15

y = -30

Answer:

equilateral triangle.

Answer:

x = -3 + 2 i or x = -3 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 6 x + 13 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 13 from both sides:

x^2 + 6 x = -13

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 9 to both sides:

x^2 + 6 x + 9 = -4

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 3)^2 = -4

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 3 = 2 i or x + 3 = -2 i

Hint: | Look at the first equation: Solve for x.

Subtract 3 from both sides:

x = -3 + 2 i or x + 3 = -2 i

Hint: | Look at the second equation: Solve for x.

Subtract 3 from both sides:

Answer: x = -3 + 2 i or x = -3 - 2 i

Answer:

[tex] g = \frac{2c}{q}[/tex]

Step-by-step explanation:

[tex]c = \frac{1}{2} gq \\ 2c = gq \\ \huge \red{ \boxed{ g = \frac{2c}{q} }}[/tex]

Answer:

g = 2C/q

Step-by-step explanation:

C * (2) = 1/2gq * (2)  

2C / q= gq / q

2C/q = g

Answer: 170

Step-by-step explanation:

you move the decimal to the right one time.

Answer:

×=36

Step-by-step explanation:

46+1/6X-21=31

25+1/6X=31

1/6X=31-25

1/6X=6

X=36

The correct sentence will be;

⇒ The weight of the things inside the box.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The sentence is,

''The amount of energy it takes to lift a box might be a function of;''

Now,

Since, The sentence is,

''The amount of energy it takes to lift a box might be a function of;''

We know that;

The amount of energy it takes to lift a box might be a function of the weight of the things inside the box.

Thus, The correct sentence is;

⇒ The weight of the things inside the box.

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Answer:

I thinks so

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

10/15=2/3

The 10 is 2/3 part of 15 by dividing common factor that is 5.

What is simplest form ?

In mathematics, the simplest form is the fraction that has the smallest equivalent value.

Here, the given fraction is :

10/15 which when converting to smallest equivalent value by dividing common factor that is 5 :

10/15 = 2/3

Therefore, the 10 is 2/3 part of 15.

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Answer:

4.243

step by step explanation:

Answer:

40+45v

Step-by-step explanation:

first you distribute 8 to 5 and 5v which gets you 40+40v+5v

then you add the like terms which gets you 40+45v

Given:

Vertices of JKLM are J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2).

To find:

The perimeter P of a parallelogram JKLM.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, we get

[tex]JK=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(-5-\left(-2\right)\right)^2}[/tex]

[tex]JK=\sqrt{\left(-5+3\right)^2+\left(-5+2\right)^2}[/tex]

[tex]JK=\sqrt{\left(-2\right)^2+\left(-3\right)^2}[/tex]

[tex]JK=\sqrt{4+9}[/tex]

[tex]JK=\sqrt{13}[/tex]

Similarly,

[tex]KL=\sqrt{\left(1-\left(-5\right)\right)^2+\left(-5-\left(-5\right)\right)^2}=6[/tex]

[tex]LM=\sqrt{\left(3-1\right)^2+\left(-2-\left(-5\right)\right)^2}=\sqrt{13}[/tex]

[tex]JM=\sqrt{\left(3-\left(-3\right)\right)^2+\left(-2-\left(-2\right)\right)^2}=6[/tex]

Now, perimeter P of ▱JKLM is

[tex]P=JK+KL+LM+JM[/tex]

[tex]P=\sqrt{13}+6+\sqrt{13}+6[/tex]

[tex]P=2\sqrt{13}+12[/tex]

[tex]P=2(3.61)+12[/tex]

[tex]P=7.22+12[/tex]

[tex]P=19.22[/tex]

[tex]P\approx 19.2[/tex]

Therefore, the perimeter P of ▱JKLM is 19.2 units.

Answer:

6+3x

Step-by-step explanation:

A number will be given the variable x

So:

Answer:

3x + 6.

Step-by-step explanation:

The number is x.