The second of two numbers is 4 more than the first. The sum of the numbers is 56. Find the numbers.

Answers

Answer 1

Answer: numbers are 26 and 30

Answer 2

Answer: { x + y = 56
{ y = x + 4

x + y = 56
x + ( x + 4 ) = 56
x + x = 56 - 4
2x = 52
x = 52
2
x = 26

x + y =56
26 + y = 56
y = 56 - 26
y = 30

S = { 26 , 30 }

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max requires 40% to pass.if he gets 190 marks and falls short by 10 marks.what are maximum marks he could have got

Answers

Answer:

Maximum marks could have got are 500

Step-by-step explanation:

Max got 190 marks that are 10 less than passing marks which are,

40 % 190 + 10 = 200

This means 200 is the passing marks,

To find the total marks we put the values in percentage,

Formula percentage = passing marks * 100/ total marks ,

So the total marks = passing marks * 100/ percentage total marks

= 200 * 100/40

= 200 * 10/4

=2000/4

=500 maximum marks.

Which of the following could represent the scale factor of the smaller figure to the larger figure?4:25
6pi:15pi
8:125
20pi:125pi
16pi:250pi
2:5

Answers

Answer:

It could be 2:5 or 6pi:15pi

Step-by-step explanation:

If you write the ratio of the surface area as a fraction, you would get $(20\pi *yd^(2) )/(125\pi *yd^(2) )$ . Simplifying it would leave $(4)/(25)$ . But this is NOT the answer because that is the ratio of the surface area. You have to square root it to find the scale factor. The square root is $(2)/(5)$ . The answers would be 2:5 and 6pi:15pi.

Answer:

6π : 15π

2 : 5

Please help! <-

What is the value of n? -10 = n/-0.2

Answers

-10 = n/-0.2

First, we can change the fraction n/-0.2 into a whole negative. Basically, move the negative sign to the front of the fraction.
$-10 = -(n)/(0.2)$

Second, we can now make our goal to get the variable (n) by itself on one side of the problem. This means we have to move everything over on another side. We can start out by multiplying both sides by 0.2.
$-10 * 0.2 = -n$

Third, let's simplify -10 × 0.2. Whatever the solution, it will be negative. You can solve this by using a calculator, set it up the long way, etc. (-10 × 0.2 = 2)
$-2 = -n$

Fourth, our last step is to multiply both sides by -1. Where did we get the -1? -n can be considered -1, since a variable by itself is 1. After this, we can switch sides.
$n = 2$

Answer: $\fbox {n = 2}$

n=2 2/-0.2 equals -10

How can I solve this system of linear equation by substitution 3x+y=11 and -2x+y=1

Answers

We can answer this question by solving each equation for one variable, and then substituting.

3x + y = 11 Given
y = -3x + 11 Subtract 3x from both sides

This equation is now solved for y. Now, let's do the other equation. Make sure to solve it for the same variable.

-2x + y = 1 Given
y = 2x + 1 Add 2x to both sides

Now, let's set both equations equal to each other, since they both equal y.

2x + 1 = -3x + 11 Set both equations equal to each other
1 = -5x + 11 Subtract 2x from both sides
-10 = -5x Subtract 11 from both sides
2 = x Divide both sides by -5

Now, let's substitute x in for one of the equations we found earlier, so that we can find y.

y = 2x + 1 Given
y = (2)(2) + 1 Substitute the x-value, 2
y = 4 + 1 Multiply
y = 5 Add

So, x = 2 and y = 5.

Hope this helps!

First will make Equation take on the form of y = mx + b. I've cchosen the second Equation:

y = 2x + 1

Now substitute this equation in for y into the other equation and solve:

3x+y = 11
3x+ (2x + 1)=11
5x + 1 = 11
5x = 11 - 1
5x/5= 10/5
x = 2

You can now plug this x-value back into either equation, and solve for y:

y = 2(x) + 1
y = 2(2) + 1
y = 5

Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75° with the ground. The height of the kite from the ground is meters.

Answers

Answer:

THE HEIGHT OF THE KITE FROM THE GROUND=80mtr

Step-by-step explanation:

let H be the height of kite from ground

$\sin\theta$ = $(height)/(hypotenuse)$

$\sin\90$ = $(H)/(80)$

1= $(H)/(80)$

H=80meters

What is 2.93 as a mixed number in simplest form

Answers

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are 2 numbers to the right of the decimal point, place the decimal number over 10^2(100). Next, add the whole number to the left of the decimal.
2+93/100

Simplify.
293/100

Mixed Number Form:
2 93/100

It would be 2 93/100.
93/100 can't be simplified any more because 93 and 100 don't share any factors.

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