Carl sold 32 sodas for $114 Medium sodas cost $300 and large sodas
cost $4.00 How many sodas of each size were sold?

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{6+3}{2}~~,~~\cfrac{1+5}{2} \right)\implies \left( \cfrac{9}{2}~~,~~\cfrac{6}{2} \right)\implies \left(4\frac{1}{2}~~,~~3 \right)[/tex]

The first equation is separable:

dy/dx = x/y   ⇒   y dy = x dx

(provided that y ≠ 0)

Integrating both sides yields

1/2 y² = 1/2 x² + C

Given that y(0) = -8, we find

1/2 • (-8)² = 1/2 • 0² + C   ⇒   C = 32

so that the particular solution is

1/2 y² = 1/2 x² + 32

Solving for y explicitly, we have

y² = x² + 64

y = ± √(x² + 64)

but since y(0) is negative, we take the negative solution:

y = - √(x² + 64)

The second equation is also separable:

du/dt = (2t + sec²(t)) / (2u)   ⇒   2u du = (2t + sec²(t)) dt

Integrate both sides:

u² = t² + tan(t) + C

Given u(0) = -6, we have

(-6)² = 0² + tan(0) + C   ⇒   C = 36

and so

u² = t² + tan(t) + 36

u = ± √(t² + tan(t) + 36)

but again we take the negative root here to agree with the initial condition, so

u = - √(t² + tan(t) + 36)

Answer:

5/8

6/7

2/3

Step-by-step explanation:

The option that best suits him is 4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs.

Given that Mr. Schnee is refinancing his home, and his loan officer has presented him with two offers, to determine which offer should he take in order to maximize his benefit, the following calculation must be performed:

A) 4.5% Interest Rate for 30 years with a monthly payment of $ 1,266.71 with $ 256 Closing Costs

1,266.71 x 30 x 12 + 256 = X

1,266.71 x 360 + 256 = X

456,015.60 + 256 = X

456,271.60 = X

B)4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs

1,193.54 x 30 x 12 + 10,362 = X

1,193.54 x 360 + 10,362 = X

429,674.40 + 10,362 = X

440,036.40 = X

Therefore, the option that best suits him is 4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs.

Learn more about maths in https://brainly.com/question/25866144

Answer:

i think it's -1 / -1

nut i'm not sure so if its wrong then sorry , and don't thank's me...

Answer: x is nothing.

Step-by-step explanation: The goal is to get x by itself not with the numbers. You just have to solve the equation and whatever you get is equal to X. Example- your problem is 0.80x= 28 which would equal 172 if you're tryna find the solution. X does not matter in your equation and remember x can be any number! I'm not good at explaining so i'm sorry if you have no idea what i'm talking about. I hope this helps!

Your answer is 172.

-Notsonerdy

Answer:

850 divided by 7.5

Step-by-step explanation:

Answer:

i am going to but 11 bagels but i am going to buy them for a price under 5$

i am also going to buy 4 extra if we are still hungry

Step-by-step explanation:

i dunno you prob need a anwser with little thought like this becuase of auto grading systems hope this helps

hi,

Express the ratios in fractional form, that is

= ( cross- multiply )

y + 3 = k(y + 5) ← distribute

y + 3 = ky + 5k ( subtract ky from both sides )

y - ky + 3 = 5k ( subtract 3 from both sides )

y - ky = 5k - 3 ← factor out y from each term on the left side

y(1 - k) = 5k - 3 ← divide both sides by (1 - k)

y = 5k- 3

____

1 - k

Answer:

-64/5

Step-by-step explanation:

Basically, the word "quotient" means the answer to a division problem. Therefore, its a division problem, so you have to work backwards with multiplication. -8 times a number is 5/8, so the other number is going to be negative.

The number is -64/5

Answer:

n = -5

Step-by-step explanation:

Form this quotient, representing the number by n:  n / (-8) = 5/8.

Solve this equation for n by multiplying both sides by 8:  -n = 5.  Then n = -5

Answer:

Nooooooo

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

Option A is the correct answer

Answer:

A is correct

Step-by-step explanation:

[tex]\frac{1}{8}[/tex] is 0.125

[tex]\frac{2}{3}[/tex] is 0.667

[tex]\frac{9}{10}[/tex] is 0.9

[tex]\frac{7}{6}[/tex] is 1.167

which from this you can see that A represents the order from smallest to largest

Answer:

the table which is the second choice

Step-by-step explanation:

Option A:

1.5 lb bag for $12.99

unit price: $12.99/(1.5 lb) = $8.66/lb

Option B:

unit price: $2.8/(0.2 lb) = $14/lb

Option C:

For the weight of 1 lb, the cost is $10.

unit price: $10/lb

Answer:

the table which is the second choice

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Ok, so we start off with [tex]2^x+2=4[/tex]

Then, we subtract 2 from both sides so that becomes: [tex]2^x+2-2=4-2[/tex]

After that, we simplify to get: [tex]2^x=2[/tex]

Finally, the solution becomes: [tex]x=1[/tex]

Answer:

x=1

Step-by-step explanation:

2^x=4-2

2^x=2

2^x=2^1

x=1

Answer:

9

Step-by-step explanation:

Answer:

8 dollars and 67 cents...8.67

Step-by-step explanation:

5 dollar bill

3 one dollar bills

2 quarters

1 dime

1 nickel

2 pennies

Answer: $175

Step-by-step explanation:

$7.00 x 15 = $105.00

$105.00 / 3 hours = $35/hr.

$35 x 5 = $175

Answer:

177

Step-by-step explanation:

Although it says that 82 studied in both, the question is aksing for ONLY at the library. It says that of the 270 surveyed, 177 study at the library.

This means that 65.56% of the students studied at the library primarely.

Answer:

95

Step-by-step explanation:

Use a Venn diagram;

2 places are identified where students may study, the library and the cafeteria so there are 2 circles;

One represents library (L) and the other is cafeteria (C);

82 goes in the overlap since 82 study in both places;

177 study in the library, but this includes the 82 that also study in the cafeteria, so 177 - 82 will give us the number who study only in the library, i.e. 95;

If we wanted to find the number who study only in the cafeteria, it would be similar;

142 study in cafeteria, including the 82 who also study in the library, therefore 142 - 82 will give the number who only study in the cafeteria, i.e. 60;

The number who study in neither the library nor the cafeteria would be the total number of students surveyed (270) take the 82 who study in both places and take the 95 who study only in the library and take the 60 who study only in the cafeteria, which gives 33 (i.e. 270 - 82 - 95 - 60)

Answer:

2nd answer choice

Step-by-step explanation:

We want to know which one does not have a two digit quotient, or answer. Let us use guess and check since there are only 4 options.

Option 1:

519/6=86 R3

This answer is wrong because it has a two digit quotient

Option 2:

915/7=130 R5

This answer is correct since it has a three digit quotient, but let's find the rest

Option 3:

439/7=62 R5

This answer is wrong because it has a two digit quotient

Option 4:

812/9=90 R2

This answer is wrong because it has a two digit quotient

Therefore option 2 is correct

I will like to know what you need help with?

Answer:

Step-by-step explanation:

1000 + 500 = 1500mg (for 1 day)

1500 * 30 = 4500mg (1 month)

4500 : 500 = 90 tablets

Answer:

. Bob is constitutionally protected from a second trial like its not possible that person who steals choclate get in to the jail

Answer:

i believe that it is d

Step-by-step explanation:

becuase if hes convicted of the crime he doesn't have to be on trial for it again

Answer:

1150

Step-by-step explanation:

50x 23=150 +100=1150

Answer:

A. x = 96 and y = 42

Step-by-step explanation:

The required measure of the angle x and y is given as x =92° and y = 42°. Option A is correct.

Given that,
Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle as shown in the accompanying diagram what are the values of x and y is to be determined.

A triangle with two sides and two congruent angles that are equal each other is called an isosceles triangle.

Here,
For an isosceles triangle,
The measure of the angle opposite to the equal side is equal, So
y = 42°

Now,
The sum of the angles in the triangle° is equal to 180,
x + y + 42 = 180
x + 42 + 42 = 180
x = 96

Thus, the required measure of the angle x and y is given as x =92° and y = 42°. Option A is correct.

Learn more about the isosceles triangle here: https://brainly.com/question/2456591

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