At a basketball game, a vender sold a combined total of 106 sodas and hot dogs. The number of hot dogs sold was 42 less than the number of sodas sold. Find
the number of sodas sold and the number of hot dogs sold.
Number of sodas sold:
0
Number of hot dogs sold:
0
Х
?

Answer:

33

Step-by-step explanation:

each upper cell is the sum of the two cells under it. For example 4 and 5 make 9 so 16+17=33

Answer:

Step-by-step explanation:

the first would be   _3  ,0

                                  5

and the second would be 0,3

Answer: $54.66

Step-by-step explanation:

The 18% turns into 0.18, they mean the same thing.

46.32 * 0.18 = 8.34 (Unsimplified answer: 8.3376)

Add tip to the cost.

46.32 + 8.34 = 54.66

Correct me if it is incorrect.

Answer:

RA

Step-by-step explanation:

Answer:

\((x-3)^2=4\)

Step-by-step explanation:

Tara's work is shown below:

\(\begin{aligned} 2(x-3)^2+6&=14 \\\\ 2(x-3)^2&=8&\text{Step }1 \\\\ &&\text{Step }2 \\\\ x-3&=\pm 2&\text{Step }3 \\\\ x=1&\text{ or }x=5&\text{Step }4 \end{aligned}\)

From the equation, we notice that in Step 1, Tara did:

\(2(x-3)^2+6=14\\2(x-3)^2=14-6\\2(x-3)^2=8\)

She is trying to isolate the x-variable. Therefore, the next logical step will be to divide both sides by 2 and her Step 2 will therefore be:

\(\dfrac{2(x-3)^2}{2} =\dfrac{8}{2} \\\\(x-3)^2=4\)

Tara could have written: \((x-3)^2=4\) as her step 2 and we would then have her work as:

\(\begin{aligned} 2(x-3)^2+6&=14 \\\\ 2(x-3)^2&=8&\text{Step }1 \\\\ (x-3)^2&=4&\text{Step }2 \\\\ x-3&=\pm 2&\text{Step }3 \\\\ x=1&\text{ or }x=5&\text{Step }4 \end{aligned}\)

Answer:

Step 2

Step-by-step explanation:

I did the Khan Academy.

Answer:

yes

Step-by-step explanation:

4 > j ( substitute j = 1 )

4 > 1 ← is a true statement

so j = 1 is a solution to the inequality

If you add x gal of the 18% mixture, each gallon adds 0.18 gal of salt, so x gal would add 0.18x gal of salt.

The 15 gal of 2% salt mixture already contains 0.02 (15 gal) = 0.3 gal of salt.

The total volume of the new mixture would be (15 + x) gal. To achieve a 7% concentration of salt, you would need to add x gal of the 18% mixture such that

(amount of salt) / (total volume) = (0.3 + 0.18x) / (15 + x) = 0.07

Solve for x :

0.3 + 0.18x = 0.07 (15 + x)

0.3 + 0.18x = 1.05 + 0.07x

0.11x = 0.75

x = 0.75 / 0.11 ≈ 6.82 gal

The cubic root of 64 is a number that multiplied 3 times by itself equals 64:

4x4x4 = 64

Value= 4

Answer:

A. No solution/0

Step-by-step explanation:

Step 1: Distribute

8x + 47 = 8x + 40

These 2 equations have the same slope but different y-intercepts. This means that the 2 lines are parallel. There will be no solution to this problem.

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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Answer:

b is answers for the question and

Step-by-step explanation:

please give me brainlest

Answer:

-3 < x ≤ 6

Step-by-step explanation:

Left side is exclusive, right side is inclusive, hence the < and ≤, respectively.

The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

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a. The surface area of the cube is reduced .

b . The new surface area of the new solid is 90 in²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

a. The surface area of the original cube is 96 in² and a cube of another 6 in² is removed from the old cube.

This means that the surface area of the cube is reduced.

The surface area of a cube is expressed as;

SA = 6l²

where l is the side length of the cube.

b. The surface area of the new solid = surface area of big cube - surface area of old cube = 96-6

= 90 in²

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The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).

1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:

  Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19

2. Calculate the total number of graduate students on the Student Government Board:

  Total Graduate Students = 2 + 0 = 2

3. Calculate the total number of students living in on-campus housing:

  Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10

4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:

  Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19

5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:

  Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19

6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:

  Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19

7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.

8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).

9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.

Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).

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Answer:

19.6 in²

Step-by-step explanation:

area of circle = π r²

= π (3 1/2)²

= π (5/2)²

= π 25/4

= 22/7 x 25/4

= 275/14

=19.6 in²

Function graph that has y- intercept of 3 is g(x) = 3\((\frac{1}{4}) ^{x}\).

y- intercept will be 3 when we will put value of x = 0 and y will be 3 that graph will have y intercept 3

A) h(x) = 5\((2)^{x}\)

when x = 0

Any number with zero power is always 1

h(x) = 5

B) h(x) = 5\((0.5)^{x}\) + 0.5

when x = 0

h(x) = 5 + 0.5

h(x) = 5.5

C) g(x) = 3\((\frac{1}{4}) ^{x}\)

when x = 0

g(x) = 3

Here we get y intercept as 3.

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Answer:

complementary angles

Step-by-step explanation:

Complementary angles add to 90 degrees

Supplementary angles add to 180 degrees

A right angle is 90 degrees so they are complementary angles

The rows and columns of the positive integers greater than three are as shown. And the number 5018 is found in the third column.

When performing a permutation test, you repeatedly rearrange one of the variables without affecting the other variable (s). From the given table, we can start with column 4. Here, each row has about 6 numbers. That is singular row has numbers from columns 1 to 6 and an even row from columns 7 to 2.

Then subtract 5018 by 3. We get 5018-3=5015.

Divide this by 6,

5015/6 = 836.

So 5018 is located in an even row from 7 to 2.

Therefore, 5018 is located in the 836th row and 3rd column.

So the required answer is E) 3.

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Answer:

I think the answer is

t=r/r-3

r=t(r-3)

r=tr-t3

Answer: It's 11683.9

Step-by-step explanation:

Differentiate g using the power rule:

\(g'(x) = \dfrac34 x^{\frac34-1} - 2\cdot\dfrac14 x^{\frac14-1}\)

\(g'(x) = \dfrac34 x^{-\frac14} - \dfrac12 x^{-\frac34}\)

\(g'(x) = \dfrac14 x^{-\frac34} \left(3 x^{\frac12} - 2\right)\)

\(g'(x) = \dfrac{3\sqrt x - 2}{4 x^{\frac34}}\)

The critical points of g occur where g' is zero or undefined.

We have

\(g'(x) = 0 \implies 3\sqrt x - 2 = 0 \implies \sqrt x = \dfrac23 \implies \boxed{x = \dfrac49}\)

and the derivative is undefined for

\(\dfrac1{g'(x)} = 0 \implies 4x^{\frac34} = 0 \implies \boxed{x=0}\)

Answer:

4

Step-by-step explanation:

Since it started at 20 degrees, that is (0, 20) or the y-intercept.

Since it drops 4 degrees every minute and its constant, that is the slope.

Best of Luck!

The approximate area of the shaded sector is 97 cm^2

What is area of circle ?

area of circle can be defined as the product of pi and square of radius ,the value of pi is 22/7 or 3.14 .

Given , diameter = 12

We need to convert diameter to r

d =2r

d/2 =r

12/2=r

6 =r

The radius is 6

A= pi *6^2

A = 36 *(3.14)

A = 113.04 cm^2

Now the fraction of the circle that is shaded is 301degrees out of 360

(A circle is 360 degrees)

=310/360 * area of a circle

=310/360 * 113.04

= 97.34

Hence , The approximate area of the shaded sector is 97 cm^2 .

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Answer:

B. vertex

Step-by-step explanation:

Vertex, Vertices. each endpoint of a side of a polygon. Convex. a polygon such that no line containing a side of the polygon contains a point in the interior of the polygon.

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Solution

- The formula for the slope is given below:

- We have been given the points (17, 11) and (5, 0).

- Thus, we can proceed to find the slope as follows:

Final Answer

The value for the slope is

A. The distributions of the periods is that using the five number summary is that

B. The box and whisker plot of the periods is attached

From the question, we have the following parameters that can be used in our computation:

7th Period

66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96

3rd Period

52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97

The distributions of the periods will be compared using the five-number summaries

Using a graphing tool, the five-number summaries are:

7th Period

3rd Period

The box and whisker plot of the periods is added as an attachment

From the box and whisker plot attached, we can see the five-number summaries of the periods

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