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3 years ago

4 - 2y + 8 = -6 solve for y

Mathematics

1 answer:

cluponka [151]3 years ago

7 0

Answer:

Use the app photomath

Step-by-step explanation:

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Flying against the wind, an airplane travels 7520 kilometers in 8 hours. Flying with the wind, the same plane travels 6500 kilom

bezimeni [28]

Answer:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

Step-by-step explanation:

Let the rate (speed) of the plane in still air = u km/h

Let the rate (speed) of the wind = v km/h

Formula for speed is:

$Speed = \dfrac{Distance}{Time}$

Given that against the wind, airplane travels 7520 km in 8 hours.

The speed against the wind will be slower so,

Against the wind, speed = (u -v ) km/h

Using above formula:

$(u-v) = \dfrac{7520}{8} km/h\\(u-v) = 940 km/h ..... (1)$

Given that with the wind, airplane travels 6500 km in 5 hours.

The speed with the wind will be faster so,

With the wind, speed = (u +v ) km/h

Using above formula:

$(u+v) = \dfrac{6520}{5} km/h\\(u+v) = 1300 km/h ..... (2)$

Adding (1) and (2) to solve for u and v:

$2u = 2240\\\Rightarrow u = 1120\ km/h$

Putting u in (1):

$1120-u=940\\\Rightarrow u = 180\ km/h$

So, the answers are:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

6 0

3 years ago

25 percent of 60 students in a class failed in the test. how many students failed the test

Alik [6]

Answer:

15 students

Step-by-step explanation:

25% = 1/4, so you can just do 1/4 of 60 or 1/4 * 60. 60/4 = 15 students.

5 0

3 years ago

Read 2 more answers

Help number 5. It would mean a lot.

brilliants [131]

Hi there!

This gets pretty easy once you understand how to do these kinds of problems. Let's look at the words in the question.

Adison earned 25$. We can push that to the side.
She loaned her friend 18$, which means she took some money away from her first part of it.

25 - 18 = 7$. Now she has 7$ left. (A calculator would be useful to answer these!)

Now, let's put the 7 to the side and check out the rest of the equation. Looks like Adison's grandmother gave her 50 more dollars, and we know that more means to add.

50 + 7 = 57$.

Now, the final part of the question says she ended up with 86$ because she had money before she earned more. To see how much money she had originally, we can subtract 86 from 57.

86 - 57 = 29$.

We now understand that Adison originally had 29$ before earning anymore money.

Hope this helps!

4 0

3 years ago

What is the correct reason for statement 5?

Komok [63]

The correct reason for statement 5 is Commutative Property.

3 0

3 years ago

Determine the leading coefficient of the polynomial p, which has exactly three roots: -1, 1 and 2, and for which p(3) = 24 is tr

LuckyWell [14K]

Answer:

The polynomial is $x^3-2x^2-x+2$

Leading coefficient is 1

Step-by-step explanation:

We need to determine the leading coefficient of polynomial p having roots

-1,1 and 2 and p(3)=24

Roots of polynomial are: -1,1,2

We can write them as:

x=-1, x=1, x=2

x+1=0, x-1=0, x-2=0

or:

(x+1)(x-1)(x-2)=0

Multiplying the terms to find the polynomial:

$(x+1)(x-1)(x-2)=0\\(x(x-1)+1(x-1))(x-2)=0\\(x^2-x+x-1)(x-2)=0\\(x^2-1)(x-2)=0\\x^2(x-2)-1(x-2)=0\\x^3-2x^2-x+2=0$

So, The polynomial is $x^3-2x^2-x+2$

The leading coefficient is the coefficient with highest power So, in polynomial we have highest power $x^3$ so, leading coefficient is 1

6 0

3 years ago