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2 years ago

1/2(4y+6)=4-2(y-6)/3

Mathematics

1 answer:

ANEK [815]2 years ago

7 0

Answer:

-2

Step-by-step explanation:

hope it helps please mark me as brainliest

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A high school mathematics teacher can grade a set of exams in 7 hours working alone. If their student teacher helps them, it wi

Stels [109]

It takes 9 hrs 19.8 minutes for the student teacher to grade the exams if they worked alone

Solution:

Let the efficiency of the school teacher be “x” and the efficiency of the student teacher be “y”

Here the word efficiency means the rate of doing work

Let the total work to be completed be W

According to the question,

The time taken by the school teacher to complete the work is 7 hrs.

So we can write it in equation form

$W = x \times 7$ ---- eqn 1

where W is the total work and x is the efficiency

Similarly for student teacher and school teacher doing the work simultaneously, we can write the equation as

$W =(x +y ) \times 4$

Equating eqn 1 and 2

$x \times 7=(x+y) \times 4$

7x = 4x + 4y

3x = 4y

So in ratio x : y = 4 : 3

Now putting value of x = 4 in equation (1) we get total work to be 28

Now, total time taken by the student teacher = total work ÷ efficiency of student teacher

Hence, total time taken by the student teacher = 28 ÷ 3 = 9.33 hrs

= 9 hrs 19.8 minutes

Hence it takes 9 hrs 19.8 minutes for the student teacher to grade the exams if they worked alone

4 0

3 years ago

Please need help in these 3 algebra questions !!!!

Marysya12 [62]

Answer:

$\large\boxed{7.\ B.\ 8s^2+16s+1}\\\\\boxed{8.\ D.\ -15t^9u^{11}}\\\\\boxed{11.\ C.\ 3,\ -2}$

Step-by-step explanation:

$7.\\(3s^2+7s+2)+(5s^2+9s-1)=3s^2+7s+2+5s^2+9s-1\\\\\text{combine like terms}\\\\=(3s^2+5s^2)+(7s+9s)+(2-1)\\\\=8s^2+16s+1$

$8.\\(-3t^2u^3)(5t^7u^8)=(-3\cdot5)(t^2t^7)(u^3u^8)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=-15t^{2+7}u^{3+8}=-15t^9u^{11}$

$11.\\n-the\ number\\\\n^2=n+6\qquad\text{subtract}\ n\ \text{and}\ 6\ \text{from both sides}\\\\n^2-n-6=0\\\\n^2+2n-3n-6=0\\\\n(n+2)-3(n+2)=0\\\\(n+2)(n-3)=0\iff n+2=0\ \vee\ n-3=0\\\\n+2=0\qquad\text{subtract 2 from both sides}\\n=-2\\\\n-3=0\qquad\text{add 3 to both sides}\\n=3$

4 0

3 years ago

Mars2501 [29]

Answer:

$186.86

Step-by-step explanation:

4 eggs cost:

1 dollar per dozen (12 eggs), so by unitary method (ratios), we can find cost of 4 eggs. Shown below:

$\frac{1}{12}=\frac{x}{4}\\12x=4\\x=0.33$

So, 4 eggs cost $0.33 approx

12 lb. flour cost:

2.50 dollar per pound, so 12 pounds would simply cost:

2.5 * 12 = $30

14 lb of sugar cost:

4.50 dollar per pound means 14 pounds would cost:

4.5 * 14 = $63

2 ready-made edible flowers cost:

5 cents for each flower means 2 flowers would cost:

5 cent = 0.05 dollars

0.05 * 2 = $0.10

We add all up to find cost of 1 cake. Shown below:

Cost of 1 cake = $0.33 + $30 + $63 + $0.10 = $93.43

Cost of 2 cakes = $93.43 * 2 = $186.86

8 0

3 years ago

I need help please and thank you

azamat

Answer:

I believe it's B ............

8 0

2 years ago

What is 2x-5/3=7? Plz help!

ki77a [65]

Hello! And thank you for your question!

First add 5/3 to both sides:

2x = 7 + 5/3

Then simplify 7 + 5/3:

2x = 26/3

Then divide both sides by 2:

x = 26/3 over 2

After that simplify 26/3/2:

x = 26 over 3 x 2

Simplify 3 x 2:

x = 26/6

Simplify:

x = 13/3 or 4 1/3

Final Answer:

x = 13/3 or 4 1/3

5 0

3 years ago

1/2(4y+6)=4-2(y-6)/3​

1/2(4y+6)=4-2(y-6)/3