Evan correctly answers 80% of the total questions on his history test. He correctly answers 32 questions. What is the number of questions on Ethan’s history test?

Answer:

Mr. Johnson would have ordered 18816 jaw breakers.

Step-by-step explanation:

Multiply 392 by 48

Mr. Johnson ordered a total of 18816 jawbreakers by multiplying the number of boxes (48) by the number of pieces of candy per box (392).

The question involves calculating the total number of jawbreakers Mr. Johnson ordered. To do this, we need to multiply the number of boxes ordered by the number of pieces of candy per box.

Step-by-step calculation:

Identify the number of boxes ordered: 48 boxes.

Identify the number of candies per box: 392 pieces.

Multiply the number of boxes by the number of candies per box to find the total: 48 boxes × 392 pieces/box = 18816 jawbreakers.

Therefore, Mr. Johnson ordered a total of 18816 jawbreakers.

Answer:

D. Fourth-degree trinomial

Step-by-step explanation:

I think this would be the correct answer because the highest degree the polynomial is raised to would be 4 (hence the fourth degree). It would be a trinomial because of 9x^4, 3x, and 4

It is undefined, meaning it will not pass the vertical line test

Answer: Option C.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

[tex]y=mx+b[/tex]

Where the slope is "m" and the intersection of the line with the y-axis is "b".

Given the function f(x) in the form [tex]f(x)=x[/tex], you can identify that:

[tex]m=1\\b=0[/tex]

This means that the line passes through the origin (0,0)

And from the function g(x) in the form [tex]g(x)=x-16[/tex], , you can identify that:

[tex]m=1\\b=-16[/tex]

This means that the line of the function g(x) and the line of the function f(x) have the same slope, but the line of g(x) passes through the point (0,-16)

Therefore, the graph of f(x) must be shifted 16 units down to produce the graph of g(x)

Each time, you are subtracting 6 to get to the next term. The 8th term would be 12.

Answer:

(1, 2)

Step-by-step explanation:

Remember that the final shape and position of a figure after a transformation is called the image, and the original shape and position of the figure is the pre-image.

In our case, our figure is just a point. We know that after the transformation T : (x, y) → (x + 3, y + 1), our image has coordinates (4, 3).

The transformation rule T : (x, y) → (x + 3, y + 1) means that we add 3 to the x-coordinate and add 1 to the y-coordinate of our pre-image. Now to find the pre-image of our point, we just need to reverse those operations; in other words, we will subtract 3 from the x-coordinate and subtract 1 from the y-coordinate.

So, our rule to find the pre-image of the point (4, 3) is:

T : (x, y) → (x - 3, y - 1)

We know that the x-coordinate of our image is 4 and its y-coordinate is 3.

Replacing values:

                (4 - 3, 3 - 1)

                (1, 2)

We can conclude that our pre-image is the point (1, 2).

Final answer:

The preimage of the point (4, 3) under the transformation T : (x, y) → (x + 3, y + 1) is (1, 2), found by reversing the transformation.

Explanation:

The transformation T : (x, y) → (x + 3, y + 1) maps each point in the plane to a new point that is 3 units to the right and 1 unit up from the original point. Finding the preimage of the point (4, 3) means determining which original point would be mapped to (4, 3) by this transformation. To do this, we set up the equations x + 3 = 4 and y + 1 = 3 and solve for x and y. Solving these equations gives us the preimage (1, 2).

Here's the step-by-step math:

Set up the equations based on the transformation T:
x + 3 = 4
y + 1 = 3

Solve for x:
x = 4 - 3 = 1

Solve for y:
y = 3 - 1 = 2

Therefore, the preimage of the point (4, 3) under the given transformation is (1, 2).

Answer:

Option A) 2 square root 3

Step-by-step explanation:

we know that

The equilateral triangle has three equal sides and three equal angles (60 degrees each)

The triangle BOD is a right triangle

we have

<OBD=(60°/2)=30°

BD=12/2=6 units

tan(<OBD)=DO/BD

tan(30°)=DO/6

DO=6*tan(30°)

DO=2√3 units

Answer:

The correct answer is A. 2√3

Step-by-step explanation:

A. Truck A , because of every mile the truck uses 19 gallons.

Once put into the quadratic formula the numbers in the square root of they are negative no solutions if it is 0 then 1 solution if more then more than one solution

Answer:

Step-by-step explanation:

The percentage of students surveyed whi didn't take bus to school is 48%.

From the table:

The percentage value can be computed thus :

Now we have :

(12 / 25) × 100%

0.48 × 100%

= 48%

Complete Question:

Hector surveyed students in his homeroom about how they got to school last Monday and noted whether they arrive on time or late. The data he gathered is shown in the two-way table below.

According to the data in the table, what percentage of students in Hector’s homeroom did not take the bus to school last Monday?

Multiply the negative sign into the second bracket and get rid of both brackets

-3y-x-5y+8x

Collect like terms

-8y+7x

Answer:

B:  -8y + 7x

Step-by-step explanation:

Start with (-3y-x)-(5y-8x).  This is a subtraction problem.  Subtract 5y from -3y, obtaining -8y.  Next, subtract -8x from -x; this is equivalent to  -x - (-8x), or 7x.

Then the difference -x + 8x = 7x.

Combining the x and y results, we get   B:  -8y + 7x.

Answer=5288

Step-by-step explanation: I got it know so basically (18*274) + (89*4) which equals 4932+356=5288

Answer:

5288 wheels

Step-by-step explanation:

Wheel count:  18(274) + 89(4) (since regular trucks have 4 wheels)

This comes to 4932 + 356, or 5288 wheels in the lot.

A: (x-2)(3+y)

3x - 6 + xy - 2y

(3x - 6) + (xy - 2y)

3(x - 2) + y(x - 2)

Your two terms are: (3 + y) and (x - 2)

Answer:  The correct option is (A). [tex](x-2)(3+y).[/tex]

Step-by-step explanation:  We are given to factor the following expression by grouping :

[tex]E=3x-6+xy-2y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

Since we are given to factorize the expression (i) by grouping, so we will take 3 common from first two terms and y common from last two terms.

The factorization of expression (i) is as follows :

[tex]E\\\\=3x-6+xy-2y\\\\=3(x-2)+y(x-2)\\\\=(x-2)(3+y).[/tex]

Thus, the required factored form of the given expression is [tex](x-2)(3+y).[/tex]

Option (A) is CORRECT.

Answer:

d = sqrt(101)

Step-by-step explanation:

To find the distance between two points, we use the formula

d =sqrt ((x2-x1)^2 + (y2-y1)^2)  where (x1,y1) and (x2,x2) are the points

d = sqrt ((-13--3)^2 + (-23--22)^2)

d = sqrt ((-13+3)^2 + (-23+22)^2)

d = sqrt((-10)^2 + (-1)^2)

d = sqrt(100)+1)

d = sqrt(101)

Final answer:

To find the unknown values in the given ratios, solve for x by setting up proportions and using cross-multiplication to calculate the missing value.

Explanation:

Find the unknown: 4:2:3 = x : 18: 27

Answer:

Step-by-step explanation:

To solve divide the number of events by the number of possible outcomes.So in this case 60 is the event and 3 is the possible outcome because there is only 3 even numbers out of the 6. So the answer would be 20. Hope the is right. Good luck

3 is correct , base is never equal to 1 cause all of solves of logarithm will be 0

Answer with explanation:

Consider a Logarithmic Function

  [tex]y=\log_{a} b\\\\y=\frac{\log b}{\log a}\\\\ \text{if, a=1,then}\\\\y=\frac{\log b}{\log 1}\\\\y=\frac{\log b}{0}[/tex]

which is not defined.

Also,⇒ a∈(0,∞)≠1.

b> 0, that is, b∈(0,∞)

Option C:

 is not a logarithmic function because the base is equal to 1.

Answer:

10.5 ft.

Step-by-step explanation:

1. Find the radius of the larger circle

4/7 = 3/r --> the ratio should be constant

cross-multiplication: 21 = 4r

Divide: r = 5.25 ft.

2. Find the circumference

Equation: C = 2πr

C = 2π*5.25

C = 10.5π ft.

Wouldn’t it be 36.7 because that’s the arch am I right?

Answer:

The measure of arc CD is 114.6°.

Step-by-step explanation:

Let the center of the circle be O and OP is perpendicular to CD at point point P.

The perpendicular line from the center of circle divide each chord in two equal parts. so, CP=DP.

[tex]CP=\frac{CD}{2}=\frac{36.7}{2}=18.35[/tex]

In a right angles triangle,

[tex]\sin\theta =\frac{opposite}{hypotenuse}[/tex]

In a right angles triangle OPC,

[tex]\sin\angle POC =\frac{18.35}{21.8}[/tex]

[tex]\angle POC =\sin^{-1} (\frac{18.35}{21.8})[/tex]

[tex]\angle POC \approx 57.3[/tex]

In triangle OPC and OPD,

[tex]OC=OD[/tex]                  (Radius)

[tex]OP=OP[/tex]                  (Reflexive property)

[tex]CP=DP[/tex]                   (Altitude on chord from center)

By SSS postulate

[tex]\triangle OPC\cong \triangle OPD[/tex]

[tex]\angle POC\cong \angle POD[/tex]                      (CPCTC)

[tex]\angle POC=\angle POD[/tex]

The measure of angle COD is

[tex]\angle COD=\angle POC+\angle POD[/tex]

[tex]\angle COD=2\angle POC[/tex]

[tex]\angle COD=2(57.3)[/tex]

[tex]\angle COD=114.6[/tex]

Therefore the measure of arc CD is 114.6°.

Answer:

D

Step-by-step explanation:

Answer:

0.34

Step-by-step explanation:

Do the inverse operation so;

0.034 / 1/10 = 0.34

Now go back and subsitute,

0.34 * 1/10 = 0.034

In the equation □ x 1/10 = 0.034, the missing value is 0.34 as obtained by isolating □ on one side, i.e., □ = 0.34.

The equation presented in the question is □ x 1/10 = 0.034. The missing value is the number that should be multiplied by 1/10 to result in 0.034. To solve for this missing value, we can rearrange the equation using the basic algebraic method. We isolate the missing value (□) on one side by dividing both sides of the equation by 1/10. This results in □ = 0.034 / (1/10), which simplifies further to □ = 0.34. Therefore, the missing value in the equation □ x 1/10 = 0.034 is 0.34.

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Answer:

a) 2

Step-by-step explanation:

9x - 7 = 6x - 4

3x = 3

x = 1

when x = 1

y = 9x - 7 = 9(1) - 7 = 2

or

y =  6x - 4 = 6(1) - 4 = 2

Answer

a) 2

Answer:

The answer is b) 1

Step-by-step explanation:

If you plug in y=9(1)-7= 2

same goes for y=6(1)-4=2

both the same answer

2x - 5 = x - 7

First, let's subtract x from both sides:

2x - x - 5 = x - x - 7

x - 5 = -7

Now, let's add 5 to both sides:

x - 5 + 5 = -7 + 5

x = -2

Answer:

x = -2

Step-by-step explanation:

2x - 5 = x - 7

2x - x - 5 = -7

2x - x = -7 + 5

Now we have isolated x

2x - x = 5 - 7

2x - x = -2

x = -2

Answer:

D [tex]\left[\begin{array}{ccc}-6&-6.5&1.7\\-2&-8.5&19.3\end{array}\right][/tex]

Step-by-step explanation:

Two matrices are equal when they

If in option D the second row is 2  -8.5  19.3 , then these matrix is equal to the given.

Answer:

Its D on edge

Step-by-step explanation:

24 times 2 which will be 48

Answer: real numbers?

Step-by-step explanation:

Answer:

The number line is graph of the or can be graph of any of the following set of numbers.

  1. Natural numbers

  2. Whole numbers

  3. Integers

  4.Rational Numbers

   5.Irrational numbers

   6. Real numbers

We can represent all this set of numbers on the graph of number line.

Answer:

Markup= 1.81

Sale price =9.06

Step-by-step explanation:

The markup is the original prices times the markup rate

markup = 7.25 * 25%

            = 7.25 * .25

             =1.8125

We round this to the nearest cent

           =1.81

The new sale price will be the original price + the markup

7.25+1.81

9.06

Answer:

9.06, or real explanation.

Step-by-step explanation:

"Marco buys a certain brand of shampoo for a supplier $7.25 per bottle he sells it to his customers at a makeup 25% what would the makeup be"

I am going to assume makeup is supposed to be markup, but I will answer all there is.

To find how much higher he charges people for the shampoo, we can multiply the original cost by the percent of increase, so in our case 7.25*.25

7.25*.25=1.8125, or $1.81

1.8125 is the total extra he charges people for the soap.

NOW FOR THE TOTAL COST-------------------

For the total cost we take the original + the added cost

1.8125+7.25=9.0625, or 9.06

Answer:

Changing value of "a" changes the amplitude of the sine graph.

Step-by-step explanation:

Question says to find about how does the a value affect your sine graph.

General equation of sine function can be given as:

[tex]y=a\cdot\sin\left(b\left(x-h\right)\right)+k[/tex]

There value of "a" gives amplitude.

So changing value of "a" changes the amplitude of the sine graph.

[tex]\bf ~~~~~~~~~~~~\textit{angle between two vectors } \\\\ cos(\theta)=\cfrac{\stackrel{\textit{dot product}}{u \cdot v}}{\stackrel{\textit{magnitude product}}{||u||~||v||}} \implies \measuredangle \theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||~||v||}\right) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} u=i+\sqrt{7}j\implies &<1,\sqrt{7}>\\\\ v=-i+9j\implies &<-1,9> \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf u\cdot v\implies (1)(-1)~+~(\sqrt{7})(9)\implies -1+9\sqrt{7}\implies 9\sqrt{7}-1~\hfill dot~product \\\\[-0.35em] ~\dotfill\\\\ ||u||\implies \sqrt{1^2+(\sqrt{7})^2}\implies \sqrt{1+7}\implies \sqrt{8}~\hfill magnitudes \\\\\\ ||v||\implies \sqrt{(-1)^2+9^2}\implies \sqrt{1+81}\implies \sqrt{82} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \theta =cos^{-1}\left( \cfrac{9\sqrt{7}-1}{\sqrt{8}\cdot \sqrt{82}} \right)\implies \theta =cos^{-1}\left( \cfrac{9\sqrt{7}-1}{\sqrt{656}} \right) \\\\\\ \theta \approx cos^{-1}(0.8906496638868531)\implies \theta \approx 27.05[/tex]

make sure your calculator is in Degree mode.

8•9+12\4-(5+3)

We are gonna use the method PEMDAS (Parenthesis, Exponents, Multiplication/Division, Addition/ Subtraction) to help us solve this equation.

8•9+12/4-8

72+12/4-8

72+3-8

75-8

67

To solve the equation 8 × 9 + 12 ÷ 4 - (5 + 3), apply the order of operations (BIDMAS/PEMDAS): Brackets, Indices, Division/Multiplication (left to right), Addition/Subtraction (left to right). The final answer is 67.

The subject of this question is Mathematics and it pertains to the correct order of operations. To solve the provided equation, 8 × 9 + 12 ÷ 4 - (5 + 3), we must follow the order of operations which is popularly known as BIDMAS or PEMDAS. This acronym stands for:

Here, we proceed by doing the operations within the brackets. (5+3) equals 8. Now, substitute 8 in the expression and we get 8 × 9 + 12 ÷ 4 - 8. Now according to BIDMAS/PEMDAS, the next step is to do multiplication and division from left to right. The expression now becomes 72 + 3 - 8. Finally, we do addition and subtraction from left to right, so the final result is 67.

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