sally and 3 friends went to the movies. the tickets together cost $35.00 and each ticket was the same price. which equation represents the total cost.

Answer:

30 gram doses

Step-by-step explanation:

First, turn the fractions into decimals.

1/4 gram to .25 gram

7 1/2 gram to 7.5 gram

Then, divide 7.5 total grams by the .25 grams for each dose.

7.5/.25 = 30

Therefore, you can obtain 30 1/4 gram doses from a 7 1/2 gram vial of medication.

Given:

Weight of the vial = [tex]7\frac{1}{2}[/tex] grams

Weight of one dose = [tex]\frac{1}{4}[/tex] gram

To Find:

Number of doses in one vial.

Solution:

Let the number of doses in a vial = n

Therefore, weight of 'n' doses = [tex]n\times \frac{1}{4}[/tex]

                                                  = [tex]\frac{n}{4}[/tex] grams

Since, the weight of the n doses is equal to the weight of one vial,

[tex]\frac{n}{4}=7\frac{1}{2}[/tex]

[tex]\frac{n}{4}=\frac{15}{2}[/tex]

[tex]n=\frac{15\times 4}{2}[/tex]

[tex]n=30[/tex] doses

Therefore, 30 doses can be obtained from one vial of medication.

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Answer:

0.375 in words is three hundred seventy-five thousandths.

Step-by-step explanation:

There are 3 numbers after the decimal place, which is in the "thousandths" value.

Answer:

Δ

Step-by-step explanation:

If A and B are two sets, then the symmetric difference of A and B is denoted by A Δ B

Answer:

A

Step-by-step explanation:

We know that this is the same as substituting a for x and multiplying the entire expression by -1.

[tex]f(a) = \frac{2a}{a - 1} [/tex]

[tex] - f(a) = \frac{ - 2a}{a + 1} [/tex]

Answer:

can be sold for a total of $100

Step-by-step explanation:

We can do this, 8+12=20

20x5=100

So, we have to do...

20x5=100$

That means, that there can be 5 Tickets of Adults sold and 5 Tickets of children sold in total for 100 dollars.

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Answer:

median income for the man with advanced degree

Step-by-step explanation:

What is the hourly difference in median income for a male versus female with an associate’s degree, occupational program?

Answer:

East or west back benchers are best

[tex] \huge \qquad \sf \underline{\boxed{ {☘ \sf Sσlutiσn}}}[/tex]

The distance between the centre and any point satisfying the circle is its radius ~

Hence, the distance between the points is equal to length of radius.

[tex]\qquad \sf  \dashrightarrow \: r = \sqrt{(4 - 1) {}^{2} + (9 - 5) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: r = \sqrt{(3) {}^{2} + (4) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: r = \sqrt{9 + 16} [/tex]

[tex]\qquad \sf  \dashrightarrow \: r = \sqrt{25} [/tex]

[tex]\qquad \sf  \dashrightarrow \: r = 5[/tex]

As we know, equation of a circle is :

[tex] \qquad \sf(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]

where,

Hence, equation of our required clrcle is :

[tex] \qquad \sf(x -1 ) {}^{2} + (y - 5) {}^{2} = {5}^{2} [/tex]

The radius of the circle that has center (1,5) and contains the point (4,9)  is 5 units

The center of the circle is given as:

Center (a,b) = (1,5)

The point on the circle is given as:

Point (x,y) = (4,9)

The radius is calculated using the following distance equation

[tex]r = \sqrt{(x - a)^2 + (y - b)^2}[/tex]

So, we have:

[tex]r = \sqrt{(4 - 1)^2 + (9 - 5)^2}[/tex]

Evaluate the exponents

[tex]r = \sqrt{25}[/tex]

Take the square root of 5

r = 5

Hence, the radius of the circle is 5 units

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Answer:

So, how the racing track is shaped, the inner line are faster because of the smaller inside of the oval, so basically the outside lane takes longer to run than the inside lane.

Let me know if you need more explaining, the picture might help.

Answer:

1st option (mean: 38; median: 35)

Step-by-step explanation:

Mean is average. Add all values together and divide by amount of values (190/5 = 38). Median is the value that separates the higher half and the lower half from the set of numbers (25 35 35 45 50; 35 separates).

Answer:

a second sample of 30 students who are using a more traditional text. You compare student achievement on the state test given to all students

Step-by-step explanation:

Answer

5724

Step-by-step explanation:

7776+6750+6750

=21276

27000

-21276

=5724

Answer:

Right

Step-by-step explanation:

Answer:

Right-angle

Step-by-step explanation:

When a triangle has one angle = 90 degree it is called an right angle triangle

Answer:

25.83 m²

Use the eq A=hb/2

Answer:15.96m^2

Step-by-step explanation:

Answer:

L = (6u + 5)m ; W = (2u-3)m

Step-by-step explanation:

Given;

Area of the rectangular vegetable garden, A = (12u² - 8u - 15)m²

Let the length of the rectangular vegetable garden = L

Let the width of the rectangular vegetable garden = W

A = L x W

Factorize the given area;

= 12u² - 8u - 15

= 12u² -18u + 10u - 15

= 6u(2u - 3) + 5(2u - 3)

= (6u + 5)(2u-3)

Thus, L = (6u + 5)m     and     W = (2u-3)m

Option B, is the right solution, although it was wrongly typed.

Answer:

The car turns right because the person driving hit the right blinkers and wants to go right.

Step-by-step explanation:

common sense

Answer:

5/27

Step-by-step explanation:

This is the fraction form I believe, correct me if I'm wrong

Answer:

Answer:

if one base is 9.5 cm and the other is 13.5 cm. The height is 5 cm.

the answer is 57.5

Step-by-step explanation:

Area= base1+base2/2*h

Area= 9.5 + 13.5 / 2 * 5

Area= 23/2 *5
Area = 11.5 *5

Answer:

Step-by-step explanation:

the figure is made up of 1 square and 4 congruent triangles

area of the square (side x side)

4 * 4 = 16 cm²

area triangle (b x h) :2

(4 * 3) : 2 =

12 : 2 = 6 cm²

now we add the area of ​​the square with the area of ​​the 4 congruent triangles

16 + 6 + 6 + 6 + 6 =

40 cm²

The area is 40 cm2.Have a nice day bye.

Answer:

$325

Step-by-step explanation

78% is 234

x is 100%

cross multiply

[tex]\frac{234}{72}[/tex] = [tex]\frac{x}{100}[/tex]

234 × 100 = 72x

23400 = 72x

23400÷72 =72x ÷72

325 = x

The value of the original price of the sofa would be $325.

Used the concept of percentage that is,

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.

Given that,

At a sale this week, a sofa is being sold for $234.

And, This is a 28% discount from the original price.

Let us assume that the original price = x

Hence, the given condition is written as,

[tex]x - (28\% \ \text{of } x) = 234[/tex]

Solve for x,

[tex]x - (0.28 x) = 234[/tex]

[tex]0.72x = 234\\[/tex]

Divide both sides by 0.72,

[tex]x = \dfrac{234}{0.72}[/tex]

Therefore, the original price would be,

[tex]x = \$325[/tex]

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Answer:

Is it anual intrest rate? if so then it would be 1620$ inrest rate  and if it was 6% in 9 years it would be 180$ interest rate

Step-by-step explanation:

Answer:

using the simple interest rate Formula, I = prt.

given 3,000 as the principle,

6% as the rate, and 9 years as the time

I = (3000)(6%)(9)

I = (27000)(6%)

I = (27000)(0.06)

I = 1620$

Present value = I + p

present value = 1620$ + 3000$

present value = 4620$

Answer: 3/15 i beleve :()

Answer:

5/13

Step-by-step explanation:

Given :-

5 blue marbles

5 red marbles

3 green marbles

To Find :-

P (blue marble)

Solving :-

P (blue) = No. of blue marbles / Total marbles

= 5 / 13

Solution :-

5/13

Answer:

A supplementary angle is an angle that forms 180°. To put into simpler words, it's the angle that makes a straight line.

A complementary angle is an angle that makes a 90° angle or a right angle.

An acute angle is an angle that is less than 90°.

An obtuse angle is an angle that is between 90 & 180 degrees.

A reflex is one that makes a 270° angle.

And finally you have a full/complete angle which makes a 360° angle

Answer:n=0.3168

Step-by-step explanation:

Answer:

n = .3168

Step-by-step explanation:

Multiply .44 by .72.

You can use a calculator to do this or do it by hand.

If you choose to do it by hand, multiply using long multiplication without paying mind to the decimals, and then when you are finished, add the decimal four places to the left (at the very beginning of the number you should get). So, 3168 becomes .3168, or your final answer.

Sorry, I cannot really show all the steps of the multiplication itself on a computer but I hoped this helps :)

Answer:

Step-by-step explanation:

13). K( - 5 , - 2 ) ----> ( - 5 - 6 , - 2 - 2 ) = K'( - 11 , - 4 )

14). Rule of the reflection in the y-axis is ( x , y ) -----> ( - x , y )

L( 1 , - 3 ) -----> L'( - 1 , - 3 )

15). Rule of the 90° Counterclockwise rotation is ( x , y ) -----> ( - y , x )

Z( - 7 , 2 ) ----> Z'( - 2 , - 7 )

16). Rule of the dilation by the scale "k" is ( x , y ) ----> ( kx , ky )

F( - 4 , 6 ) ----> ( - 4*1.5 , 6*1.5 ) = F'( - 6 , 9 )

17). Rule of the reflection in the x-axis and the dilation by the scale "k" is

( x , y ) -----> ( kx , - ky )

X( - 3 , 9 ) -----> ( - 3*(1/3) , - 9*(1/3) ) = X'( - 1 , - 3 )