At the malt shop a large chocolate shake takes 0.2 of a pint of milk. If a medium shake takes 0.7 the amount of a large, how much does the medium shake take?

Answer: The correct answer is 9x^2 + 48^x + 64

Step-by-step explanation:

The correct answer is 9x^2 + 48^x + 64

The ratio of hours Lisa works to hours Lisa sleep is 3: 8.

The comparison of two quantities is known as a ratio. which could be easily determined by dividing one value by other which also indicates the percentage.

Given Lisa works 7 hours per day, works 3 hours per day, and sleeps for 8 hours per day. Therefore, the ratio of hours Lisa works to hours Lisa sleeps is the work hour of Lisa divided by hours of sleep per day.

Hence, the required ratio is  3: 8.

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There are 18 minutes John must have used during the month.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A cell phone company has a basic monthly plan of 40$ plus $0.45 for any minutes uses over 700.

Before receiving this statement, John saw he was charged a total of $48.10.

Let the time he must have used during the month = x

So, We can formulate the equation as;

⇒ $48.10 = $40 + $0.45 x

Solve for x as;

⇒ 48.10 - 40 = 0.45x

⇒ 8.10 = 0.45x

⇒ x = 8.10 / 0.45

⇒ x = 18

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we know that

if two lines are perpendicular

then

the product of their slopes is equal to minus one

so

[tex]m1*m2=-1\\m2=-1/m1[/tex]

in this problem the slope of the given line is

[tex]m1=-0.3=-\frac{3}{10}[/tex]

the value of m2 is

[tex]m2=-1/(-3/10)=\frac{10}{3}[/tex]

with the point [tex](3,-8)[/tex] and the slope m2 find the equation of the line

the equation of the line in the form point-slope is

[tex]y-y1=m*(x-x1)[/tex]

substitute the values

[tex]y+8=\frac{10}{3}*(x-3)[/tex]

[tex]y=\frac{10}{3}x-10-8[/tex]

[tex]y=\frac{10}{3}x-18[/tex]

therefore

the answer is

[tex]y=\frac{10}{3}x-18[/tex]

We need to convert the given information to meaningful mathematical equation.

Statement: "George is putting trim around his rectangular deck, including the gate. He will need 48 feet of trim to do the entire deck.", it means

[tex] Perimeter \; of\; the\; rectangle=48\; feet [/tex]

Assuming ' L ' as length of the rectangle & ' W ' as the width of the rectangle, the perimeter of rectangle is given by the below formula.

[tex] Perimeter \; of\; the\; rectangle\; =\; 2(L+W) [/tex]

We know "the deck is 14 feet long", which means...

[tex] L=14 \; feet [/tex]

Substituting 14 for L and 48 for Perimeter of rectangle in the formula above, we can set up and equation in terms of W.

[tex] 2(L+W)=Perimeter \; of\; the\; rectangle\\ 2(14+W)=48\\ Divide \; 2\; on\; both\; sides, \; we\; get...\\ \\ \frac{2(14+W)}{2}=\frac{48}{2} \\ Simplifying\; fraction\; on\; both\; sides\\ \\ 14+W=24\\ Subtracting\; 14\; on\; both\; sides\\ \\ 14+W-14=24-14\\ Combine\; like\; terms\\ \\ W=10 [/tex]

Conclusion:

The width of the deck is 10 Feet

To find this person's net worth, you will add the assets together to get a total value of what they are worth. Then you will need to subtract the amount of liability (amount owed).

( $487,500 + $265000) - $445500

$307000

This person's net worth is $307000.

The value of x cannot be negative, hence the value of x would make rq tangent to Circle P at point Q is 6

Given the following from the geometry;

Using the pythagoras theorem;

[tex]c^2=a^2+b^2\\(9+x)^2=9^2+12^2\\81+18x+x^2=81+144\\x^2+18x+81-225=0\\x^2+18x-144=0\\[/tex]

Factorize the result to have;

[tex]x^2+24x-6x-144=0\\x(x+24)-6(x+24)=0\\(x-6)(x+24) =0\\x=6 \ and \ -24\\[/tex]

Since the value of x cannot be negative, hence the value of x would make rq tangent to Circle P at point Q is 6

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Answer:

Option D.,50 miles per hour

Step-by-step explanation:

The graph shows the distance covered by motor boat at  = y, ( in miles )

The certain amount of time on = x ( in hours )

The slope of the given line will represent the speed of the motorboat.

The given line passes through two points ( 0, 25 ) and ( 4, 225 )

Therefore, slope of the line = [tex]\frac{y-y'}{x-x'}[/tex]

                                              =  [tex]\frac{225-25}{4-0}[/tex]

                                              =   [tex]\frac{200}{4}[/tex]

                                              = 50

The speed of the motorboat is 50 miles per hour.

Answer: 1.2-apex

...............

Final answer:

The correct equation to represent the total number of books Jarrod packed is B. y = 12(x - 8) + 128, which acknowledges he packed 8 boxes of science books and the remaining boxes were for math books.

Explanation:

Jarrod packed 8 boxes of science textbooks with 16 books per box, which totals to 8 × 16 = 128 books.

For the math textbooks, if x represents the total number of boxes packed, then Jarrod would have packed (x - 8) boxes of math textbooks since he already packed 8 boxes of science textbooks.

Each math textbook box contains 12 books, so the number of math books packed is 12 × (x - 8). The total number of books that Jarrod packed is the sum of both science and math books, which is given by 128 + 12 × (x - 8).

The correct equation that represents this word problem is B. y = 12(x - 8) + 128, where y is the total number of books packed and x is the total number of boxes packed.

Answer:

The answer is C 0.4

Step-by-step explanation:

Answer:

b,c,e,f just did it trust me

Step-by-step explanation:

Solution:

we are given with a dot plot where we can see that the number of visitors.

we have been asked to find the median of the data set.

From the data plot , we can write the data set as below

56,56,56,56,58,58,60,62,62,62,63,65,65,68,68.

Here the data set is already arranged in the ascending order.

Now if the number of data points in the data set is odd then middle number is the median.

If the number of data points  in the data set is even then the sum of middle two divided by 2 gives the median.

Here the number of data points in the data set is odd.

So the median is 8th value from any side.

Hence the median of the given data set is 62.