All categories

3 years ago

If 1/4x +2y= 11/4 and - 6y - x = 7, what is half of y?

Mathematics

1 answer:

ioda3 years ago

8 0

Answer:

y/2 = 4.5

Step-by-step explanation:

1/4x + 2y = 11/4

distribute by 4 to eliminate fractions

x + 8y = 11

+ -x - 6y = 7

2y = 18

y = 9

half of 9 = 4 1/2

You might be interested in

The jar only contains nickels and dimes altogether there are 10 coins total of the value is 90 cents how many nickels and how ma

lilavasa [31]

Write a system of equations and solve.

x + y = 10
5x + 10y = 90

Multiply and combine equations

-5x - 5y = -50
5x + 10y = 90
------------------
5y = 40
y = 8
x = 2

There are 2 nickels and 8 dimes in the jar. Hope this helps! :)

3 0

3 years ago

There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the outp

Mariana [72]

Answer:

15
42,250

Step-by-step explanation:

The given function is,

$P=40000+300x-10x^2$

where,

P = the total production of apples,

x = the number of trees added.

As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.

The vertex will be at $\left(-\dfrac{b}{2a},-f\left(\dfrac{b}{2a}\right )\right)$

The value of the function will be maximum at,

$x=-\dfrac{b}{2a}$

Putting the values,

$x=-\dfrac{300}{2\times (-10)}=\dfrac{300}{2\times 10}=\dfrac{300}{20}=15$

So at x=15 or for 15 number of trees the production will be ,maximum.

Putting x=15 in f(x) will yield the maximum production of apples.

$P=40000+300(15)-10(15)^2=42,250$

4 0

3 years ago

Can someone help me and show the work pls.

Ivan

(1 & 2/3) ft = (1 ft) + (2/3 ft)

(1 & 2/3) ft = 12 inches + 12*(2/3) inches

(1 & 2/3) ft = 12 inches + 8 inches

(1 & 2/3) ft = 20 inches

If the tree grows 5 inches per year, then it will take 4 years to get to 20 inches since 5*4 = 20. You can also divide to get 20/5 = 4.

So it takes 4 years for the tree to grow 1&2/3 feet tall.

8 0

3 years ago

Read 2 more answers

Which fraction is less than the fraction represented by the model?

wolverine [178]

Answer:

The last option.

Step-by-step explanation:

First answer = 6/8

Second answer= 5.5/8

Third answer= 6.5/8

Fourth answer= 4/8

Fourth answer is correct.

3 0

3 years ago

Read 2 more answers

Érica has saved $24, which is 40% of the total amount she needs to buy a new video game. How much does she need total to buy the

d1i1m1o1n [39]

Do 40/100=24/x and cross multiply

5 0

3 years ago