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2 years ago

Which of the following expressions is equivalent to 4y + z + y − 8 + 6z

Mathematics

2 answers:

Tamiku [17]2 years ago

5 0

The answer is 5y+7z-8

AlladinOne [14]2 years ago

4 0

Answer:

the second one

Step-by-step explanation:

4y+y = 5y

z+6z = 7z

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A scientist mixes water (containing no salt) with a solution that contains 30% salt. She wants to obtain 180 ounces of a mixture

xxMikexx [17]

Answer:

water : 90 ounces

salt solution: 90 ounces

Step-by-step explanation:

Call w the amount of water and call the solution containing 30% salt.

We want to get 180 ounces of a mixture with 15% salt.

So:

The amount of mixture will be:

$w + s = 180$

the amount of salt will be

$0w + 0.3s = 180 * 0.15$

$0.3s = 27$

$s = 90\ ounces$

Now we substitute the value of s in the first equation and solve for w

$w + 90 = 180$

$w = 90\ ounces$

5 0

3 years ago

There are four quarters in a dollar. How many quarters are there in eleven dollars?

Elan Coil [88]

Answer:

Step-by-step explanation:

There are 4 quarters in a dollar.

"How many quarters are there in eleven (11) dollars?"

4 x 11 = 44

There are 44 quarters in eleven dollars.

5 0

1 year ago

Read 2 more answers

Show your work, type the answer 6y + 5(6 + 4у + Зу)

Andreas93 [3]

6y + 5*(6 + 7y)
6y + 30 + 35y
41y + 30

6 0

2 years ago

George has $49 which he decides to spend on x and y. commodity x costs $5 per unit and commodity y costs $11 per unit. he has th

FromTheMoon [43]

We are given the equations:

5 x + 11 y = 49 --> eqtn 1

u = 3 x^2 + 6 y^2 --> eqtn 2

Rewrite eqtn 1 explicit to y:

11 y = 49 – 5 x

y = (49 – 5x) / 11 --> eqtn 3

Substitute eqtn 3 to eqtn 2:

u = 3 x^2 + 6 [(49 – 5x) / 11]^2

u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]

u = 3 x^2 + 14406/121 – 2940x/121 + 150x^2/121

u = 4.24 x^2 – 24.3 x + 119.06

Derive then set du/dx = 0 to get the maxima:

du/dx = 8.48 x – 24.3 = 0

solving for x:

8.48 x = 24.3

x = 2.87

so y is:

y = (49 – 5x) / 11 = (49 – 5*2.87) / 11

y = 3.15

Answer:

George will choose some of each commodity but more y than x.

7 0

2 years ago

Math help geometry points and crown

skad [1K]

The image of U will be (2,-1)

6 0

2 years ago

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