13. Higher Order Thinking Olivia has $20 to spend. She wants to buy a visor and magnet. The sales tax is $2.21. 1. Use estimation to find out if Olivia has enough money for her purchase. 2. Explain how to find the exact amount of change she will receive. 3. Find the exact amount of change. Show your work.​

If she uses its phone for 10000 minutes, her cost will be $575.

The typical form for two-variable linear equations is Ax+By=C. For example, 2x+3y=5 is a common linear equation. It is rather simple to find both intercepts when an equation is stated in this way (x and y).

The function b (z) = 0.05x+75,

value of x =  10000 minutes

Now putting the value of x into the equation we get:

b (z) = 0.05x+75,

b (z) = 0.05(10000)+75,

b (z) = 0.05(10000)+75,

       = 500 + 75

b (z) = 575

The bill if she uses her phone for 10000 minutes = 575.

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The value of x is option (B) 7° for the parallel lines that is being cut by a transversal.

We are given a pair of parallel lines that is cut by a transversal.

Also, we are given that

m ∠ A = (6 x - 3)°

m ∠ B = (9 x - 24)°

Also, we know that in parallel lines cut by a transversal, the alternate exterior angles are equal.

So, we get that:

∠ A = ∠ B

(6 x - 3)° = (9 x - 24)°

6 x - 3 = 9 x - 24

9 x - 6 x = 24 - 3

3 x = 21

x = 21 / 3

x = 7°

Therefore, the value of x is option (B) 7° for the parallel lines that is being cut by a transversal.

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The change in the temperature during these three hours will be -4.2° Celcius.

From the information, the air temperature at 9am is -5.8 degrees Celsius and the air temperature at noon is -1.6 degree.

Therefore, the change in the temperature during these three hours will be:

= -5.8 - (-1.6)

= -5.8 + 1.6

= -4.2° Celcius

Therefore, the change in the temperature during these three hours will be -4.2° Celcius.

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Answer:

  (d)  7/25 -(24/25)i

Step-by-step explanation:

You want the value of 4-3i divided by its conjugate.

The conjugate of a sum is the same sum with the sign changed.

  conjugate of 4-3i is 4+3i

  conjugate of 4+√2 is 4-√2

In algebra, a conjugate is often used when squaring one of the terms will make it "rational" or real (or both). That is because the product of a number and its conjugate is the difference of the squares of the parts of the sum.

  (a -b)(a +b) = a² -b²

You want the value of (4-3i) divided by its conjugate. Simplifying that expression will also make use of the conjugate.

  [tex]\dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{4^2+2(4)(-3i)+(3i)^2}{4^2-(3i)^2}=\dfrac{(16-9)-24i}{16+9}\\\\=\boxed{\dfrac{7}{25}-\dfrac{24}{25}i}[/tex]

Yes, it is a polynomial

The degree of the polynomial is 2

and it is a Quadratic polynomial

A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. It is made up of indeterminates (also known as variables) and coefficients.[tex]x^{2}[/tex]− 4x + 7. is an illustration of a polynomial with a single indeterminate x. Three-variable example: [tex]x^{3}[/tex]+ 2xy[tex]z^{2}[/tex] − yz + 1..

Numerous branches of mathematics and science use polynomials. For instance, they are used to define polynomial functions, which show up in contexts ranging from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximate other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems.

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Answer:

total = $27.40, change = $12.60

Step-by-step explanation:

6.85 x 4  = 27.40

40.00 - 27.40 = 12.60

We solely used prime integers to find the prime factorization, giving us the least common denominator for 2/3 and 3/4. Final answer is 12.

What is prime integers?

A prime number is any natural number greater than one that is not the sum of two lesser natural numbers. Any natural number greater than one that is not prime is referred to as a composite number. For instance, the product 1 5 and 5 1 are the only two ways to write the number 5, making it a prime.

If a positive integer's sole factors are one and itself, then it is a prime number if it is greater than or equal to 2.

One approach is to determine the denominators' prime factorization, which are 3 and 4. Three would be prime factorized as 1 x 3 and four as 2 x 2, respectively. We would have 2 x 2 x 3 = 12 if we solely used prime integers to find the prime factorization, giving us the least common denominator for 2/3 and 3/4. Final answer is 12.

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Answer:

yo mom

Step-by-step explanation:

If A, B, C, and D are collinear points then the length of BC = 6x +443 is 59.

A group of three or more points that are located along the same straight line is called collinear points. On separate planes, collinear points may exist, but not on different lines. Collinearity is the quality of two points being parallel to one another. Any three or more points are only considered to be collinear if they are situated along the same straight line. There is only one line that can pass through three locations that are collinear.

Given that A, B, C, and D are collinear points and position in that order.

AC = 149

BD = 3x + 307

BC = 6x + 443

AD = 8x + 717

We can determine the length of AB

AB + BD = AD

AB + 3x + 307 = 8x + 717

AB = 8x - 3x + 717 - 307

AB = 5x + 410

Now, we know that

AB + BC = AC

5x + 410 + 6x + 443 = 149

11x + 853 = 149

11x = -704

x = - 64

Put x= -64 in BC

BC = 6(-64) + 443

BC = - 384 + 443

BC = 59

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Answer:

9/20

Step-by-step explanation:

0.45 is really 45/100 if you simplify it can only simplify to 9/20 because 9 and 20 don't have a common denominator that will end in two whole numbers

Answer:

Option C.

Step-by-step explanation:

It literally shows u how to do it on the chart step by step just add subract then divide lol.

Answer:

-14

Step-by-step explanation:

When you're subtracting from a negative number you're just adding 2 negative numbers making it go farther from 0.

Answer:

-24 - 4x + 6= 16x + 22

-29 -22 = 16x +4x

-51 = 20x

x= -51/20

The cost of the semi-circular transom stained glass window is $107.702.

A semicircle is formed when a circle is divided in half along its diameter. The two halves are equal in size.

Now, for the for given question;

The width of the door is given as 34 inch which is same as the diameter of the semicircle of window.

The radius of the window becomes 34/2 = 17 inches.

Now, the formula for the area of the semicircle is;

A = πr²/2

Where, r is the radius and π = 3.14.

Substitute the values;

A = (3.14)(17)²/2

On simplification

A = 76.93 square inch.

Now, the cost of window glass is $1.40 per square inch.

Thus, for 76.93 square inch.

Rate = 76.93×1.40

Rate = $107.702

Therefore, the cost of the semi-circular transom stained glass window is found to be $107.702.

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The surface area of the cylinder is 6764π mm².

Given the radius of the cylinder is 38 mm and

the height of the cylinder is 51 mm.

we are asked to determine the surface area = ?

we know that surface area of a cylinder = 2πrh + 2πr²

given, r = 38 mm

h = 51 mm

substitute the above values to get the surface area.

A = 2πrh + 2πr²

A = 2π(38)(51) + 2π(38)²

A = 2π(1938) + 2π(1444) mm²

A = 3876π + 2888π mm²

A = 6764π mm²

Hence the surface area of the cylinder is 6764 mm² in terms of π.

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(a)  The linear equation that models the price-sales relationship for this toy is  y = -250 x + 3250 .

(b)  The daily sales of the toy if the price is set at $8.50 will be $1125

(a) Let "x " be the price of the toy and "y"  be the number of sales.

Then equation is given by y = mx + c         .......(1)

It is given that ($7, 1500 sales/day) and ($9,1000 sales/day).

Using slope formula , for these two points , we get

         m = 1000 - 1500 / 9 -7

             = -500 / 2

             = -250

Putting x = 7 and y = 1500  and m = -250 in equation (1) , we get

               1500 = (-250)(7) + c

               1500 = - 1750 +c

                 c = 3250

Putting c = 3250 and m = -250 in equation (1) , we get

  y = -250 x + 3250      ........(2)

(b) Put x = 8.50  in equation (2) , we get

     y = -250(8.50) + 3250

       = -2125 + 3250

      = $ 1125

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The mark up percent on the retail price is 150%.

Since the Sports Brand Company is making a new shoe that has a wholesale price of $60,

and it wishes to advertise a retail price of $150,the markup will be:

= $150 - $60

= $90

Therefore the markup percentage will be:

= Mark up/ Original price × 100

= 90/60 × 100

= 3/2 × 100

= 150%

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Answer:

Step-by-step explanation:

70-6+21-5

64+16

=80

Answer:

i believe it is 27.

Step-by-step explanation:

since y = 5 and x = 7, what you would do is 5×4+7. which equals 27

Step-by-step explanation:

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Answer: Its C I just took the test

Step-by-step explanation:

Answer:

Hello,
Answer: (x+4)²+(y-7)²=50

Step-by-step explanation:

center=((3+(-11) )/2,(8+6)/2)=(-4,7)

radius²=(3-(-4))²+(6-7)²=49+1=50

Equation:

(x+4)²+(y-7)²=50

Answer: f xc

Step-by-step explanation:

fff  eeffffff

Answer:

Josh spent $29.87

Step-by-step explanation:

$12.99 + 3.75×4.5 = $29.865 ≈ $29.87

Answer:

Okay, so what you first want to do is is find out what 3.75 times 4 1/2 is. First you can start by transitioning 4 1/2 into decimal form like so:

And then multiply 3.75 times 4.5

Then add you quotient to the amount of money that he paid for the flat rate:

Answer = $26.86

Step-by-step explanation:

i said right foot creep owww walking with that heat walk walking around stay low make sure that don't see

A

The x coordinate will be -4 for the expression "a point 4 unit to the left of 0".

We are given an expression:

" a point 4 unit to the left of 0 "

We need to find the value of x coordinate for this expression.

In geometry, a coordinate system is a system that makes use of one or extra numbers, or coordinates, to uniquely decide the placement of the factors or different geometric factors on a manifold which include Euclidean space.

We can write the expression as:

4 unit to the left of 0 will be - 4

So the point becomes:

( - 4 , 0)

So, the x coordinate becomes,

x = - 4

Therefore, the x coordinate will be -4 for the expression "a point 4 unit to the left of 0".

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If a carpenter cut the top section of a window frame with a 40º angle on each end. The side pieces each have a 50º angle cut at their top ends, as shown. Yes the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.

The interior angles are the same or equal in measure. On the other hand the sum of the interior angles have to  be 180°.

The two side  pieces on the right hand and left hand side are equal in measure. The sides can be parallel only if the sum of both side angles is equal to 180°

Let calculate the one side of the interior angle and both side of the interior angle

One side of the interior angle=40º+50º

One side of the interior angle=90°

Both side of the interior angle=90°+90°

Both side of the interior angle=180°

Hence,

The side are parallel because: 180°=180°

Therefore Yes the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.

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For any integer x, x²-x will always produce an even value is TRUE in all sense.

As per the question statement, we are given an expression [tex]x^{2} -x[/tex] and asked about the validation of the statement, "For any integer [tex]x[/tex],  [tex]x^{2} -x[/tex] will always produce an even value.

Lets first take a positive value say [tex]x=3[/tex], which is an integer also

[tex]x^{2} -x\\=3^{2} -3\\=9-3\\=6[/tex]

which is an even number.

Now lets take a negative value say [tex]x=-7[/tex],  which is an integer also

[tex]x^{2} -x\\=7^{2} -7\\=49-7\\=42[/tex]

which is an even number also.

Hence the statement "For any integer x, x²-x will always produce an even value" is TRUE in all sense.

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