Solve the equation 3x + 4y = 16 for x.

Answers

Answer 1

Answer: Simplifying
3x + -4y = 16

Solving
3x + -4y = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.
3x + -4y + 4y = 16 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 16 + 4y
3x = 16 + 4y

Divide each side by '3'.
x = 5.333333333 + 1.333333333y

Simplifying
x = 5.333333333 + 1.333333333y

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Can anyone help me please? What is21 times x = 7

I could use some help doing this simple math problem lol.

Answers

$D:k-9\geq 0 \wedge k\geq0\nD:k\geq 9 \wedge k\geq0\nD:k\geq 9\n√(k-9)-\sqrt k=-1\n√(k-9)=-1+\sqrt k\nk-9=(-1+\sqrt k)^2\nk-9=1-2\sqrt k+k\n2\sqrt k=10\n\sqrt k =5\nk=25$

Answer: k=25

Step-by-step explanation:

Marie has a small copy of rene magritte's famous painting, the schoolmaster. Her copy has dimensions 2 inches by 1.5 inches. The scale of the copy is 1 in :40 cm. Find the dimensions of the original painting

Answers

We just multiply the scale to the dimensions
2 in to original is: 2×40= 80 cm
or do proportions:
$(2)/(x)$ = $(1)/(40)$
= $(2*40)/(1)$ =x
=80 cm=x the original dimension.
Same thing to the other side.
1.5×40=60 cm
or proportions again:
$(1.5)/(y)$ = $(1)/(40)$
$(1.5*40)/(1)$ =y
60 cm=y
60 cm is the original dimension
80 cm times 60 cm ORIGINAL DIMENSION

A team t-shirt costs $3 per adult and $2 per child. On a certain day, the total number of adults (a) and children (c) who bought shirts was 100, and the total money collected was $275. Which of the following options represents the number of children and the number of adults who purchased team shirts that day, and the pair of equations that can be solved to find the numbers? A.) 75 children and 25 adults
Equation 1: a + c = 100
Equation 2: 3a − 2c = 275

B.) 75 children and 25 adults
Equation 1: a + c = 100
Equation 2: 3a + 2c = 275

C.) 25 children and 75 adults
Equation 1: a + c = 100
Equation 2: 3a − 2c = 275

D.) 25 children and 75 adults
Equation 1: a + c = 100
Equation 2: 3a + 2c = 275

Answers

Answer:

Option D is correct.

Step-by-step explanation:

A team t-shirt costs $3 per adult and $2 per child.

Let the number of children be = c

Let the number of adults be = a

A team t-shirt costs $3 per adult that is 3a and $2 per child that is 2c, also given is that the total money collected is $275, so equation becomes:

$3a+2c=275$

On a certain day, the total number of adults (a) and children (c) who bought shirts was 100, equation becomes: $a+c=100$

Now to know the number of children and adult, we can check by plugging in the values from options provided.

25 children and 75 adults = 25(2)+75(3)=50+225 =275

Rest options do not fulfill the requirements, so Option D is correct.

The answer is:

25 children and 75 adults
Equation 1:a + c=100
Equation 2: 3a + 2c=275

Have a nice day!

Factor using ac-method and factor completely, 25x²-95x-20= ______ thanx for the help.

Answers

$25x^2-95x-20=5(5x^2-19x-4)=5(5x^2+x-20x-4)\n\n=5[x(5x+1)-4(5x+1)]=5(5x+1)(x-4)$

25x²-95x-20
=5(5x²-19x-4)
=5(5x+1)(x-4) <- this is the final answer. :)

Solve for x. 8(x + 1) - 3(x + 4) = 7(2 - x)

41/3

Answers

Step 1: Simplify both sides of the equation.
7(2-x)(41)
8(x+1)-3(x+4)= ----------------
3

Simplify: (Show steps)
-287 574
5x-4= ---------- x+ --------
3 3

Step2: Add 287/3x to both sides.
287 -287 574 287
5x-4+ -------x= ----------x+ -------+ -------x
3 3 3 3
302/3x-4=574/3

Step 3: Add 4 to both sides.

302/3x-4+4=574/3+4
302/3x=586/3

Step 4: Multiply both sides by 3/302.

(3/302)*(302/3x)=(3/302)*(586/3)

296
So your answer would be x= --------
151

If 3 1/2 pounds of bananas cost $1.96 how much would one pound cost

Answers

It would simply be 1.96 divided by 3.5. It would be 56 cents per pound.

3 1/2 ib = $1,96
$(7)/(2) * (2)/(7) ib = (196)/(100) * (2)/(7) \n \n 1ib = (28)/(100) * (2)/(1) \n \n 1ib = (56)/(100) = 0,56$

Answer 1 pound of bananas costs $0.56

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What is b - 3/16 = 5/16