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A survey asks teachers and students whether they would like the new school mascot to be a viking or a patriot. This table shows the results.

Which statement is true?

Answer:

y = 3x - 1

Step-by-step explanation

We manipulate the scatter plot feature in Ms. Excel then we simply add the linear trend line displaying the equation on the chart.

The excel output is attached below.

The relation exhibited by the data set is y = 3x - 1; given the value of x, the value of y is obtained by multiplying x by 3 and subtracting 1 from the result.

Answer:

12g + 33

Step-by-step explanation:

The equivalent form is an expression which is equal to it. It can be simplified or expanded. Here let's simplify by applying the distributive property.

3(4g + 11) = 12g + 33

This is the simplified form.

Answer: 105

Step-by-step explanation:

6 hours

7 x 6 = 42

15 hours

7 x 15 = 105

Answer:

105

Step-by-step explanation:

If she works 7 days a week than you get 7 x 15 witch = 105

There are "40 hours per week."     [unit rate means "how many of these for one of those"]

Notice how units cancel when we use the Multiplicative Identity (that is 1 -- multiply any value by 1 and it does not change):

    1  =   (40 hours)/(1 week) = (1 week)/(40 hours)        [choose the value needed to cancel units]

  120 hours

  (120 hours) * 1

  (120 hours) * (1 week)/(40 hours)

  (120/40) weeks                      [hours cancel, leaving only weeks[

     3 weeks

    5 weeks

   (5 weeks) * 1

   (5 weeks ) * (40 hours)/(1 week)

    (5*40) hours                    [note that weeks cancel]

     200 hours

Final answer:

The relationship between hours and weeks indicates a direct linear relationship, where each week is equivalent to 40 hours.

Explanation:

The relationship between the corresponding number of hours and weeks from the given sequences {0, 40, 80, 120, 160, 200, 240, 280, 320} for hours and {0, 1, 2, 3, 4, 5, 6, 7, 8} for weeks indicates a linear relationship. For every 40 hours, one week passes, which suggests that each week consists of 40 hours in this context. This can be expressed by the linear equation hours = 40 × weeks

Therefore, the required relationship is linear

(8)(-4.5) is not equivalent because 8 times -4.5 results in negative value

Answer:

(8)(-4.5) would be your answer

Answer:

[tex]22-8\sqrt{5}[/tex]

Step-by-step explanation:

Since all the answer choices arent visible, i will directly give the answer.

We will use the distributive property in expanding, which is [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

So we have:

[tex](2\sqrt{5}-4 )(3\sqrt{5} +2)\\=(2\sqrt{5})(3\sqrt{5} )+2(2\sqrt{5} )-4(3\sqrt{5} )-4(2)\\=6\sqrt{5} \sqrt{5}+4\sqrt{5}-12\sqrt{5}-8\\=6(5)+4\sqrt{5}-12\sqrt{5}-8\\=30+4\sqrt{5}-12\sqrt{5}-8\\=22-8\sqrt{5}[/tex]

Note: we have used the radical property  [tex]\sqrt{a}\sqrt{a}=a[/tex] here

Answer:

22 - 8√5

Step-by-step explanation:

(2√5 - 4)(3√5 + 2)

= 2√5(3√5 + 2) - 4(3√5 + 2)

= 6√(5×5) + 4√5 - 12√5 - 8

= 6√25 + 4√5 - 12√5 - 8

=6×5 + 4√5 - 12√5 - 8

=30 - 8 + 4√5 - 12√5

= 22 - 8√5

Answer: 5

Step-by-step explanation:

The equation to solve this problem is 40 + 2x = 25 + 5x

Now, to solve for x you first need to subtract 25 from each side:

15 + 2x = 5x

Next, subtract 2x from each side:

15 = 3x

Finally, divide both sides by 3:

5 = x

Farid is renting the car for 5 additional days.

Farid wants to rent the car for 5 additional days.

Let's define the costs of the two specials and determine when they are equivalent. Let x represent the number of additional days Farid wants to rent the car.

For the first special, the cost is $40 for the first day and $2 for each additional day:

For the second special, the cost is $25 for the first day and $5 for each additional day:

We need to find the value of x where both costs are equal:

Subtract 2x from both sides:

Subtract 25 from both sides:

Divide both sides by 3:

Thus, Farid wants to rent the car for 5 additional days.

Answer:

4

25x4=100%

1x4=4

To solve the problem we must know about Percentage.

25% of 4 is equal to 1.

A percentage is a way to describe a part of a whole. such as the fraction [tex]\dfrac{1}{4}[/tex] can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given information,

Let's assume that the number is x.

We know that when the percentage symbol is removed the number is divided by 100. so,

25% = [tex]\bold{\dfrac{25}{100}}[/tex]

Dividing the numerator 25 And the denominator by 25,

25% = [tex]\bold{\dfrac{1}{4}}[/tex]

Now, to get a percentage of any number simply multiply the number by the fraction(or decimal) form of the percentage value. So, here we will multiply the number 'x' to [tex]\bold{\frac{1}{4}}[/tex] (fraction form of 25%) to get 1.

[tex]x \times 25\% = 1\\x \times \dfrac{1}{4} = 1\\\\x = 4[/tex]

Hence, 25% of 4 is equal to 1.

Learn more about Percentage:

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Step-by-step explanation:

The formula for percent change is

change/original.

So let's subtract 17 from 55 to find the change. 55-17=38

This is the change. Now we divide it by the original, 17.

38/17=2.235294

We're not done yet! We have to move the decimal point over to the right 2 spaces to make it a percentage. So, the percentage increase is

about 223.53 percent

Answer:

x=2

Step-by-step explanation:

We want to isolate x (get x by itself)

1/8 x = 1/4

Multiply each side by 8

8*1/8 x = 1/4 *8

x = 8/4

x = 2

Answer:

2

Step-by-step explanation:

To solve this equation for x, multiply both sides by 8.  This results in:

8(1/8)x = 8(1/4), or x = 2

Answer:

EQUATION: [tex]x^2-16x+48=0[/tex]

METHOD: Factorization.

The sellings prices are:

$4

$12

Step-by-step explanation:

You need to find the selling price or prices that would generate $50 in daily profit, then you need to substityte[tex]y=50[/tex] into the quadratic function:

[tex]50=-10x^2+160x-430[/tex]

Make the equation equal to zero:

[tex]-10x^2+160x-430-50=0\\-10x^2+160x-480=0[/tex]

 Simplify by dividing by -10, then you obtain the equation:

[tex]x^2-16x+48=0[/tex]

You can solve it with Factorization.

Choose two numbers whose sum is -16 and whose product is 48.

These would by -12 and -4.

Then:

[tex](x-12)(x-4)=0\\x_1=12\\x_2=4[/tex]

Answer:

Replace y in the equation with 50: (50 = -10x2 +160x - 430) Use factoring to solve the equation. After writing the equation in standard form and dividing each side by -10, it is easy to factor as 0 = (x - 4)(x - 12).

Answer:

3n³/5m²

Step-by-step explanation:

Given in the question an expression

3m^-2 / 5n^-3

we can separate them as

3 / 5  x m^-2 / n^-3

As we know the rule of negative exponents that any nonzero number raised to a negative power equals its reciprocal raised to the opposite positive power.

Here the negative exponents are -2 and -3

so, m^-2 =1 /m²

      n^-3 =1 /n³

3 / 5 x n³/ m²

rearranging

3n³/5m²

Answer:

the system has a unique solution

Step-by-step explanation:

Start with an equation of a line in standard form,

[tex] ax + by = c [/tex]

Solve it for y to put it into the slope-intercept form:

[tex] by = -ax + c [/tex]

[tex] y = -\dfrac{a}{b}x + \dfrac{c}{b} [/tex]

The slope is -a/b.

Now look at your system of equations. The slope of the first equation is -a/b = -2/3. The slope of the second equation is -a/b = -6/5.

You have a system of two linear equations with two lines with different slopes, so the lines must intersect at a single point.

Answer: the system has a unique solution

Answer: The answer is B - 95.

Answer: A. [tex]=105^{\circ}[/tex]

Step-by-step explanation:

Given: Circle with center O , having two congruent arcs as :-

[tex]\overarc{WX}\cong\overarc{YZ}\\\\\angle{XOW}=105^{\circ}[/tex]

We know that " If two arcs of a circle are congruent then their corresponding central angles are congruent".

[tex]\angle{XOW}\cong\angle{YOZ}\\\\\Rightarrow\ \angle{YOZ}=105^{\circ}[/tex]

Hence, the measure of [tex]\angle{YOZ}=105^{\circ}[/tex].

Answer:

hey i did this on my quiz trust me

Step-by-step explanation

12,362.70 trust me i did this i just dont know exactly how to explain this

Answer:

A = 81π cm²

Step-by-step explanation:

The formula for area of a circle is A = πr², where r is the radius.  The radius is half the diameter, so our radius for this problem is

18/2 = 9.    So the area is..

A = π(9²) = π(81)

  A = 81π cm²

Answer:81pi

Step-by-step explanation:

Answer:

(B) Start at -7 on the number line and move 11 to the right.

Step-by-step explanation:

They are negatives, but the -(-11) makes the 11 a positive.

The correct interpretation of the expression -7-(-11) is 4.

The expression -7-(-11) can be solved by following the rules of operations in mathematics, specifically the rules for subtracting negative numbers. To subtract a negative number, we can think of it as adding the positive number. So, -7 - (-11) becomes -7 + 11. Now, we can add the numbers: -7 + 11 = 4. Therefore, the correct interpretation of the expression -7-(-11) is 4.

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Answer:The answer is A) 20 in3.

Step-by-step explanation:

Answer:the answer is 250 in3

Step-by-step explanation:

I took it on USA test prep

Answer:

Step-by-step explanation:

3x + 4y = 8

4y = 8 - 3x

y = 2 - (3/4)x

So the slope of the given line is -(3/4).

Final answer:

The slope of the line represented by the equation 3x + 4y = 8 is -3/4. We found this by rearranging the equation into slope-intercept form, y = mx + b, and identifying the coefficient of x as the slope.

Explanation:

To find the slope of the line represented by the equation 3x + 4y = 8, we first need to rearrange the equation into the slope-intercept form, which is y = mx + b, where m represents the slope of the line, and b represents the y-intercept. Let's solve for y:

The slope-intercept form of the line is y = (-3/4)x + 2, so the slope is -3/4. This means for every increase of 1 on the horizontal axis (x), there is a decrease of 3/4 on the vertical axis (y).

Answer:

B

Step-by-step explanation:

Note that [tex]\sqrt{-1}[/tex] = i

[tex]\sqrt{-2}[/tex] = [tex]\sqrt{2(-1)}[/tex] = [tex]\sqrt{2}[/tex] i

[tex]\sqrt{-18}[/tex] = [tex]\sqrt{9(2)(-1)}[/tex] = 3[tex]\sqrt{2}[/tex] i

Thus the sum is

[tex]\sqrt{2}[/tex] i + 3[tex]\sqrt{2}[/tex] i = 4[tex]\sqrt{2}[/tex] i → B

====================================================

Explanation:

The variable b is the placeholder for the original price, aka price before discount.

We discount by 25% meaning we don't pay that 25% but instead pay the remaining 75%

Therefore the expression 0.75*b represents the final price after the discount. We're told this price is $1.50 so that is how I'm getting the answer to be 1.50 = 0.75b

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

Extra info:

To solve this equation for b, you would divide both sides by 0.75 to undo the multiplication that is happening.

1.50 = 0.75b

1.50/0.75 = 0.75b/0.75 .... dividing both sides by 0.75

2.00 = b

b = 2.00

So the original price before discount was $2.00; note how 25% of this is 0.25*2.00 = 0.50 which is the amount we save and the amount we have left is 2.00 - 0.50 = 1.50 which is the proper price after discount we want.

Multiply the number of cupcakes each by the number of people:

1 1/2 x 4 = 6 total cupcakes.

If you are trying to ask for the volume of the two rectangular prisms, you can multiply 9m × 10m × 16m and get 1440m^3(meters cubed) for prism A, and multiply 6m × 5m × 3m to get 90m^3

then you add the two together and get

1530m^3 (meters cubed)

Answer: 8/15

Step-by-step explanation:

There are 15 total combinations of characters and defense tools in this game. If you randomly choose your character and tool, the probability that you will be a magic user, a user of one of the five tools, is 1 out of 15 or 0.0667.

In this game scenario, the total number of different combinations that can occur when you randomly choose your character and tool is equal to the product of the number of choices for each. We have 3 choices for characters (elf, hobbit, human) and 5 choices for defense tools (magic, sword, shield, slingshot, umbrella). Therefore, the total different combinations are 3*5 = 15. The question asks for the probability that you'll be a magic user, irrespective of the character. Since magic is one of the 5 defense tools, then, there is 1 favorable outcome that we are considering.

The number of favorable outcomes by the total number of possible outcomes is known as the probability of an event. So, we have 1 favorable outcome and 15 total outcomes. Therefore, the probability is 1/15 or approximately 0.0667.

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Answer:

Step-by-step explanation:

You need to change the denominator into a the least common denominator, 4 and 3 both have 12 in common. 12 is your new denominator but what you to the bottom you must do to the top. So when you multiply 3/4 by 3/3 you will get 9/12.

Then you want to make 4 1/3 into a improper fraction, which would be 13/3 you want to multiply this by 4 and you will get 52/12. You will then add 52/12 to 9/12 and get 61/12 or 5 1/12.

If you need any more help please let me know.

Answer:

= 624.26 m²

Step-by-step explanation:

The area of a circle is given by the formula;

A = πr² ; where r is the radius

Radius = 1/2 diameter

   = 3.14 × 14.1 ×14.1

   = 624.26 m²

Final answer:

To estimate the area of a circle with a diameter of 28.2m, calculate the radius (14.1m), then use the formula A = πr² with pi as 3.14 to get an area of approximately 624.33 m² after rounding to the nearest hundredth.

Explanation:

To estimate the area of a circle with a given diameter of 28.2m, we first need to calculate the radius, which would be half of the diameter. Thus, the radius (r) is 28.2m / 2 = 14.1m.

Next, we use the formula for the area of a circle, which is A = πr². Plugging in the numbers, we get A = (3.14)×(14.1m)².

Carrying out the multiplication, we have A = 3.14 × 198.81m² = 624.3254m². We round this result to the nearest hundredth to get 624.33 m² as the estimated area of the circle using 3.14 for pi.