:) help me pleaseeee asap

Pavel [41]

Isolate the m, go backwards for PEMDAS.

C = 2m + d
C (-d) = 2m + d (-d)
C - d = 2m
(C - d)/2 = 2m/2
m = (C - d)/2

m = (C - d)/2 is your answer

hope this helps

7 0

4 years ago

Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as

vesna_86 [32]

Answer:

1). System of equations- D + Q = 90 and D + 2.5Q = 175.50

2). There are 33 dimes and 57 quarters in the bank.

Step-by-step explanation:

Dylan has a bank that sorts coins as they are dropped in it.

A panel shows the total number of coins inside as well as the total value of these coins.

Let the number of dimes in the bank = D

and the number of quarters in the bank = Q

If the panel shows total number of coins = 90

Then the equation will be

D + Q = 90 -------(1)

And the panel displays the amount of the coins = $17.55

Then equation will be

0.10D + 0.25Q = 17.55 [1 Dime = $0.10 and 1 quarter = $0.25]

D + 2.5Q = 175.50 ------------(2)

Now we subtract equation (1) form equation (2)

D + 2.5Q - (D + Q) = 175.50 - 90

D + 2.5Q - D - Q = 85.5

1.5Q = 85.5

Q = $\frac{85.5}{1.5}$

= 57

By putting Q = 57 in the equation (1)

D + 57 = 90

D = 90 - 57 = 33

Therefore, there are 33 dimes and 57 quarters in the bank.

4 0

4 years ago

During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea

melisa1 [442]

The rate at which tea is poured in the cafeteria is,
4 cups / minute
There are 120 minutes in 2 hours. Thus, the number of cups poured is,
(4 cups / minute) x (120 minute) = 480 cups
Each gallon is made up of 16 cups. Thus, 480 cups is also equal to 30.

8 0

3 years ago

What is the measure of angle MBT

Gennadij [26K]

Answer : The measure of angle MBT is 28°.

Step-by-step explanation :

As we see that the ∠NBM is equal to ∠MBT.

That means,

∠NBM = ∠MBT

Given:

∠NBM = (17x - 6)°

∠MBT = (5x + 18)°

According to question:

∠NBM = ∠MBT

(17x - 6)° = (5x + 18)°

17x - 5x = 18° + 6°

12x = 24°

x = 2°

So,

∠NBM = (17x - 6)° = [(17 × 2) - 6]° = 28°

∠MBT = (5x + 18)° = [(5 × 2) + 18]° = 28°

Hence, the measure of angle MBT is 28°.

7 0

3 years ago

Read 2 more answers

Linear programming subjected to constraints

anyanavicka [17]

Answer:

The maximum value of C is 14

Step-by-step explanation:

we have the following constraints

$x\geq 0$ ----> constraint A

$y\geq 0$ ---> constraint B

$2x+2y\leq 10$ ---> constraint C

$3x+y\leq 9$ ---> constraint D

Determine the area of the feasible region using a graphing tool

see the attached figure

The vertices of the feasible region are

$(0,0),(0,5),(2,3),(3,0)$

To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertices in the objective function an then compare the results

we have

$C=4x+2y$

For (0,0) ----> $C=4(0)+2(0)=0$

For (0,5) ----> $C=4(0)+2(5)=10$

For (2,3) ----> $C=4(2)+2(3)=14$

For (3,0) ----> $C=4(3)+2(0)=12$

therefore

The maximum value of C is 14

8 0

3 years ago