Kadeesha bought snacks for her team's practice. She bought a bag of popcorn for $ 1.59 and a 5-pack of juice bottles. The total cost before tax was $13.34. Which equation or tape diagram could be used to represent the context if j represents each bottle of juice costs?
A
5 j=1.59-13.34
C
1.59 j=13.34-5

Answer:

Step-by-step explanation:

x=2

We conclude that he drove 176 miles on the highway

Here we have the equation:

A = (1/18)*c + (1/32)*h

Where A is the consumption in gallons of gas, c is the number of miles driven in the city and h is the number of miles driven in the highway.

Here we know that:

A = 8 gallons of gas.

c = 45 miles

Replacing that in the above equation, we can find the value of h.

8 =  (1/18)*45 + (1/32)*h

8 - (1/18)*45 = (1/32)*h

32*(8 - (1/18)*45) = h = 176

We conclude that he drove 176 miles on the highway

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The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

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Answer:

490 miles

Step-by-step explanation:

Since Ahmad is driving 350 miles in 5 hours, he's averaging 70 miles per hour.

350/5 = 70 mph

Driving 7 miles at 70 mph:

7 x 70 = 490 miles

Answer: 490 miles!

Step-by-step explanation:

350 x 7hrs divided by 5hrs would be = 490miles

How did I get 490? or why didn't you do 350 x 5?

Well because the question asks how many miles would he drive in 7 hours? you will need to multiple the droven miles which is 350miles because that is part of the getting answer, and the question of having to know how many miles would he drive in 7 hours, you wouldn't do 350 x 5 because its not asking " Ahmad drove 350 miles in 5 hours, how many miles would he drive in 5 hours? and which would equal 250 which not correct because it doesn't make sense if he's drove 350 miles in 5 hours and then drove 250miles in 7 hours, back to the explanation, after multiplying 350 into 7 you will end up at 2450, no this isn't the answer you need to divide because it would take more than 7 hours to drive 2450 miles, next you divide by the hours driven in 350 miles which in this in this case would be 5 because your diving  2450 by 5 because sense u cannot get the answer by multiplying 350x5 so this is time where your gonna use the 5 because 350 x 7= 2450 is too large in miles for 7 hours your gonna divide the 2450 to lower it down to 490 miles, doesn't that sound more accurate? the miles increase by  1.4 ( 140 miles ) so another way u could have gotten the answer was by doing 350 + 140 = 490 but however you would need to know how much the miles have increase which u can do by 490 - 350 which equals to 140 miles.

9514 1404 393

Answer:

  A)  B = 37.2°, b = 309.1, c = 382.3

Step-by-step explanation:

You know the third angle must be ...

  B = 180° -131.6° -11.2°

  B = 37.2° . . . . . . eliminates choice D

You know the two missing sides are both longer than 99.3, eliminating choice C.

Since angle C is the largest angle, side c is the longest side, eliminating choice B.

By the process of elimination, we know the correct choice is A.

__

The Law of Sines will tell you the length of side C is related to the other triangle values by ...

  c/sin(C) = a/sin(A)

  c = (99.3 ft)×sin(131.6°)/sin(11.2°)

  c ≈ 382.3 ft . . . . matches choice A

The total number of cannonballs in the stack is 385 and this can be determined by using the arithmetic operations.

Given :

The following steps can be used in order to determine the total number of cannonballs:

Step 1 - The first layer of the stack of  cannonballs there are a total of \((1^2)\) 1 cannonball.

Step 2 - The second layer of the stack of  cannonballs there are a total of \((2^2)\) 4 cannonballs.

Step 3 - The third layer of the stack of  cannonballs there are a total of \((3^2)\) 9 cannonballs.

Step 4 - In the last layer that is, the 10th layer of the stack of  cannonballs there are a total of \((10^2)\) 100 cannonballs.

Step 5 - So, the generalized formula to count the total number of cannonballs in the stack is given below:

\(\rm Total \; number \; of \; Cannonballs=\dfrac{n(n+1)(2n+1)}{6}\)

where 'n' is the total number of layers.

Step 6 - Now, substitute the value of 'n' in the above formula.

\(\rm Total \; number \; of \; Cannonballs=\dfrac{10(10+1)(2(10)+1)}{6}\)

Total number of Cannonballs = 385

Therefore, the correct option is B).

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Answer: B.385

Step-by-step explanation: took the quiz and got it right.

Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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Answer:

Step-by-step explanation:

5x - 12 = 3x + 30

5x - 3x = 30 + 12

2x = 42

x = 21

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

check

5 * 21 - 12 = 3 * 21 + 30

93 = 93

the answer is good

The general form representation of the polynomial which is as described in the task content is; f(x) = 4x³ + 38x² + 24x - 360.

It follows from the task content that the Polynomial in discuss has;

Therefore, the factored form of a polynomial can be written as follows;

P(x) = a (x - p) (x - q) (x - r) where p, q and r are the roots of the polynomial and a is the leading coefficient.

Since the factors of the polynomial f(x) are; (x + 6), (x + 6) and (x - 5/2).

Hence, the polynomial f(x) in discuss can be written as follows;

f(x) = 4 (x + 6) (x + 6) (x - 5/2)

f(x) = (x + 6) (x + 6) (4x - 10)

f(x) = 4x³ + 38x² + 24x - 360

Therefore, the required polynomial in standard form is; f(x) = 4x³ + 38x² + 24x - 360.

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There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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(2, −6.5), from the graph, point out the coordinates where both lines intersect each other. That is the solution for both the lines. Here the lines cut at x : 2 and y : -6.5. Therefore (2, −6.5) is the best estimate for the solution to the system.

Check the intersection point where both lines meet at.

So the co-ordinates are

Answer:

Step-by-step explanation:

$100 - ($34.16 + ($34.16 - $3.68) + $4.52) = $30.84

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

The instantaneous rate is 36.

Step-by-step explanation:

Given the cost of producing a commodity,

\(C(x) = 7000 + 6x + 0.15x^{2}\)

Now calculate the average rate of change in cost of producing commodity.  

Use below formula to calculate average rate of change when (i) x = 103 $ per unit:

\(\text{Average rate of change} = \frac{C(103) – C(100) }{103 - 100} \\C(x) = 7000 + 6x + 0.15x^{2} \\C(100) = 7000 + 6 \times 100 + 0.15 (100)^{2} = 9100 \\C(103) = 7000 + 6 \times 103 + 0.15 (103)^{2} = 9209.35 \\\text{Average rate of change} = \frac{9209.35 - 9100}{103 - 100} = 36.45\)

Now calculate average rate of change when (ii) x = 101 $ per unit:

\(\text{Average rate of change} = \frac{C(101) – C(100) }{101 - 100} \\C(x) = 7000 + 6x + 0.15x^{2} \\C(100) = 7000 + 6 \times 100 + 0.15 (100)^{2} = 9100 \\C(101) = 7000 + 6 \times 101 + 0.15 (101)^{2} = 9136.15 \\\text{Average rate of change} = \frac{9136.15 - 9100}{101 - 100} = 36.15\)

Now to find the Instantaneous Rate of Change we just need to find the differentiation of given function.

\(C(x) = 7000 + 6x + 0.15x^{2} \\C’(x) = 6 + 0.3x \\\)

Instantaneous Rate of Change when x = 100

\(= 6 + 0.3 \times (100) \\= 36\)

a) The probability that the test comes back negative for all six people is  95.8%,

b)  The probability that the test comes back positive for at least one of the six people is 4.2%.

(a) To find the probability that the test comes back negative for all six people, we can use the fact that the test is 99.3% effective in accurately detecting the absence of the antibody.

Since the test is 99.3% effective, the probability of it coming back negative for each individual who does not have the antibody is 0.993. Therefore, the probability that the test comes back negative for all six people is calculated as follows:

P(negative for all 6) = (0.993)^6 ≈ 0.958

Therefore, the probability that the test comes back negative for all six people is approximately 0.958, or 95.8%.

(b) To find the probability that the test comes back positive for at least one of the six people, we need to consider the probability of a false positive.

The probability of a false positive, which is the probability of the test coming back positive when the antibody is not present, is given as 0.007. Therefore, the probability of the test correctly identifying the absence of the antibody is 1 - 0.007 = 0.993.

The probability that the test comes back positive for at least one person is the complement of the probability that the test comes back negative for all six people. So we can calculate it as follows:

P(positive for at least one person) = 1 - P(negative for all 6) ≈ 1 - 0.958 = 0.042

Therefore, the probability that the test comes back positive for at least one of the six people is approximately 0.042, or 4.2%.

In summary, the probability that the test comes back negative for all six people is approximately 95.8%, while the probability that the test comes back positive for at least one of the six people is approximately 4.2%.

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To determine the number that you would divide by to calculate the mean:

   ⇒ must determine the definition of the mean

Since there are 4 numbers:

 ⇒ the number would you divide by to calculate the mean is 4

Hope that helps!

Answer:

answer is either 1 or 3.5

Step-by-step explanation:

first you need to add all of the numbers together then divide by the amount of numbers ( in this case there are 4 numbers)

2+5+4+3=14

14/4=3.5 which gets you the mean

but sometimes it will want you to go a step further and do this-

finding the distance from each number from the mean found like this!

3.5-2=1.5

5-3.5=1.5

4-3.5=.5

3.5-3=.5

then add these together

1.5+1.5+.5+.5=4

then 4 divided by tghe amount of numbers which is 4

4/4=1 so that is taken a step further but the answer is either

Answer:

\(16-(6.25+2*2.25)\)

Step-by-step explanation:

To find the amount of money she has left, you want to subtract the price of the ticket and the price of the two snacks from the amount of money she starts with.

So we want to subtract 6.25 once and subtract 2.25 twice (because she bought two snacks) from 16

16-6.25-2*2.25

Or you can also do this by adding up the monetary value of the ticket and the snacks and subtract that from the initial amount of money that Parvati has

16-(6.25+2*2.25)

(I am assuming that the "2.2.25" is supposed to say \(2*2.25\))

Answer: -7x+4y-z would be the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

3 x 2 x 5 equals 30

Answer:

  B. 3x¹¹ +9x⁷ +5x³ −x +4

Step-by-step explanation:

You want to identify the polynomial that has terms written in descending order of their degree.

The degree of a term is the exponent of x in that term. In the given polynomial, the term degrees are 3, 1, 7, 0, 11.

When these are put into descending order, that order is ...

  11, 7, 3, 1, 0

The answer to this question will be the polynomial with terms written in the order of their degree as shown above:

  3x¹¹ +9x⁷ +5x³ −x +4

__

Additional comment

When the exponent of x is 0, the value of the term x^0 is 1. That is why we can say the constant term is a term that has the variable to degree 0.

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Answer:

2 potatoes

Step-by-step explanation:

10 ×1/5 =2×1=2

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

A triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). The translation direction is 2 units to the left. The number of units of the image of triangle JKL is 2 units to the left only.

Given that a triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). We have to determine the translation direction and the number of units of the image of triangle JKL. Let's first find the translation direction to determine the image of triangle JKL.

Seeing the position of J and J', we can determine that the translation was made in the left direction because J has moved from the point (-1,-5) to (-3,-5). Thus, the translation direction is 2 units to the left. Now, let's calculate the number of units of the image of triangle JKL.

Let's draw a rough sketch of the triangle JKL and locate its vertices J(-1,-5), K(-2,-2), and L(2,-4).To find the number of units of the image of triangle JKL, we need to find the horizontal and vertical distances between the vertices of the original triangle and its image.

We can use the horizontal distance between J and J′ as a reference to calculate the remaining distances. J has moved 2 units to the left, so the horizontal distance between J and J′ is 2. Now, let's calculate the vertical distance between J and J′. The coordinates of J and J′ are (-1,-5) and (-3,-5), respectively.

The difference between the y-coordinates of J and J′ is 0, which means that J and J′ are on the same horizontal line. Therefore, the vertical distance between J and J′ is 0. Hence, the image of the triangle JKL has moved 2 units to the left and 0 units vertically. Thus, the number of units of the image of triangle JKL is 2 units to the left only.

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Answer:

\(-73\frac{1}{9}\)

Step-by-step explanation:

Answer:

Step-by-step explanation:True.

If a function has an empty formal parameter list, the parentheses after the function name are not required in some programming languages. For example, in Python, the parentheses can be omitted when defining or calling a function with an empty parameter list.

For instance, the following function definition and function call are both valid in Python:

def print_hello():

   print("Hello!")

print_hello()

However, some programming languages, such as C and Java, require parentheses for all function definitions and calls, even when the parameter list is empty.

Step 1

Step 2

A)Find the constant of proportionality K when n = 10 books and h = 12 inches

Step 3

B) Write an equation that relates H and n by substituting for k

Step 4

C) Find the height, H of the stack of 24 books

Answer: you cant solve this solution

Step-by-step explanation:

Answer:

16.5 m

Step-by-step explanation:

66÷4=x

x=16.5m

...........

...........

Answer:

6/4 or 1 2/4

Step-by-step explanation: