Solve the following system of equations using substitution.u = 6 + t
36 = 2t + u
A. t = 10, u = 16
B. t = 10, u = 4
C. t = 14, u = 20
D. t = 16, u = 22

Answers

Answer 1
Answer: It's A. If U=16, 6+10=16
and if you plug in the numbers for the second equation it's 36=2(10)+16

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LaToya decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a beginner's fee of $100 and a monthly fee of $38. If x represents the number of months that LaToya is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time: 100 + 38x = C

LaToya has allocated a maximum of $404 to spend on her gym membership. Which number line shows the possible number of months that LaToya can be a member of the gym?

Answers

Answer:

Number line with closed circle on 1 and 8, shading in between.

Step-by-step explanation:

This is the question you are referring to.

LaToya decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a beginner's fee of $100 and a monthly fee of $38. If x represents the number of months that LaToya is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time:

as 100+38x=C is our equation to determine the number of months, with $404 as a Maximum amount for her to spend, we know the beginners fee is 100 and every month(Including the first) is 38 dollars. we can understand that in 8 months, she will reach exactly 404 dollars spent on her membership.

well 404 dollars subtract 100 for member ship and have 304 then divide 304 divided by 38 and you get 8 months plug it in and bam 8 is c which makes sesne when checking your answer

What multiplies to 40 but adds to 22

Answers

20 and 2
2*20=40
2+20=22

How do you find a side length of a cube with the surface area of one face (64cm)

Answers

Fact #1:
A cube has six faces.

Fact #2:
Every one of them has the same area.

Fact #3:
The surface area of each face is (the length of the cube's side)²

Now that I look at this one more carefully, the only thing you need to know
to solve it is Fact #3.  (But you can keep the others and save them for later.)

The surface area of each face is (the length of the cube's side)²

64 is the (length of the cube's side)²

Can you find a number that gives you 64 when you multiply it by itself ?
That's the length of the cube's side.

Hint: If you don't get ' 8 ', work on it a little more.

Laura’s credit card has an APR of 12.04%, and it computes finance charges using the daily balance method and a 30-day billing cycle. On June 1st, Laura had a balance of $606.40. She made exactly one transaction in June: a payment of $55.25. If Laura’s finance charge for June was $5.71, on which day did she make the payment?

Answers

Finance charge is equal to:
daily balance*A*P*R*billing cycle/365
db  0.1204  30/365 = 5.71
db = 577.01 (I am rounding every answer, and keeping the number in my calculator, things won't work out exactly if you calculate using my numbers)Manipulate the formula for mean:
average = total/amount
577.01 = total/30
total over 30 days = 17,310.22Set up an equation with our information:
606.40x + 55.25(30-x) = 17,310.22
551.15x = 16,652.72
x = 28.4

The balance was $606.40 for 28 days, so she paid on the 29th.

Answer:

C: June 15th

Step-by-step explanation:

Reserved seats for the football game cost $4.00 each and general admission tickets for $3.00 each. After the game was over, it was found that 1787 total tickets were sold and $5792 was made. Find the number each sold . SHow your work

Answers

There were 431 reserve seat tickets and 1356 general admission tickets sold.

What is Cost Function?

A cost function is a mathematical formula used to used to chart how production expenses will change at different output levels. In other words, it estimates the total cost of production given a specific quantity produced.

Let 'x' represent the number of reserve seats that were sold,

then '1787-x' represents the number of general admission tickets sold

we then have the following cost equation:

5792 = 4x + 3(1787-x)

solving for 'x' we have:

x = 431

1787-431 = 1356

Thus, there were 431 reserve seat tickets and 1356 general admission tickets sold.

Learn more about Cost Function from:

brainly.com/question/13288616

#SPJ2

Equation for tickets sold:                        Equation for money made:
x+y=1787                                              4x+3y=5792
Solve for x using substitution:
x=1787-y
Plug it into the other equation to find the value of y:
4(1787-y)+3y=5792
7148-4y+3y=5792
-y=-1356
y=1356
Now plug y back into any equation:
x+1356=1787
x=431

1356 general admission tickets were sold, and 431 reserved seats were sold.


while still in the hospital, the doctor writes an order for an antibiotic at 400mg / kg / day. You are nervous now because the nurse was wrong before. Assuming that you weigh 132 lb, determine how many milligrams should you be given. What is the equivalent number of grams? ( Hint: 1000mg = 1 g and mg / kg / day = mg/ kg × day)

Answers

Answer:

Patient will require 23950 mg or 23.95 gm of the antibiotic per day.

Step-by-step explanation:

The doctor has written an antibiotic at 400 mg per Kg body weight per day (400 mg/Kg/day).

Weight of patient is 132 lb.

So we will convert it into kilograms.

Since 1 lb = 0.4536 Kg

Therefore, 132 lb = 132 × 0.4536

                            = 59.875 kg

Weight of the patient is 59.875 kg

Now we can calculate the dose of the antibiotic by this weight of the patient.

∵ 1 Kg patient requires dose of antibiotic = 400 mg

∴ 59.875 Kg patient will require the dose = 400 × 59.875

                                                                     = 23950 mg

We know 1 mg = (1)/(1000) gms

So 23950 mg = (23950)/(1000) gms

                       = 23.95 gm per day

Therefore, patient will require 23950 mg or 23.95 gm of the antibiotic per day.

123 lb * (0.4536 kg/lb) * 300mg/(kg · day) = (123 * 0.4536 * 300) mg/day = 16737.84 mg/day 16737.84 mg/day * 1g/(1000mg) = 16.73784 g/day