In a class there are x amount of students. z amounts of these students are ( y+1 ) years old. The rest of the students are y years old. Write an expression for the sum of all their ages. Simplify.

Given:

Output = 5 times input

To find:

The graph for the given statement.

Solution:

We know that, y-axis represents the output and x-axis represents the input.

Let y be the output and x be the input. Then the given statement can be written as

[tex]y=5x[/tex]

Here, the slope of the line is 5 because the value of [tex]m[/tex] is 5 on comparing the equation with [tex]y=mx+b[/tex].

It means the line is steeper because the vertical change is greater than the horizontal change.

Therefore, the correct option is A.

9514 1404 393

Answer:

  486√3 ft² ≈ 841.8 ft²

Step-by-step explanation:

The area of a regular hexagon with side length s is ...

  A = (3√3)/2s²

For the side length of 18 ft, the area is ...

  A = (3√3)/2(18 ft)² = 486√3 ft² ≈ 841.8 ft²

Answer:

7.20

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

Opposite of 9t = -9t

Taking the sum of 9t - 13 and -9t

Sum = 9t - 13 + (-9t)

Sum = 9t - 13 - 9t

Sum = 9t-9t - 13

Sum  = -13

Hence the expression in standard form is -13

Answer:

$139

Step-by-step explanation:

The formula for compound interest =

A = P(1 + r/n)^nt

Where

P = Principal

r = Interest rate

n = Compounding frequency

t = time in years

A = Amount after t years

For Melanie

Melanie invested $8,600 in an account paying an interest rate of 2 7/8% compounded monthly.

Rate = 2 7/8% = 23/8% = 2.875%

Time = 10 years

n = monthly = 12

First, convert R percent to r a decimal

r = R/100

r = 2.875%/100

r = 0.02875 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 8,600.00(1 + 0.02875/12)^(12)(10

A = 8,600.00(1 + 0.002395833)^(120)

A = $11,460.64

For Oliver

Oliver invested $8,600 in an account paying an interest rate of 2 3/4 ​ % compounded daily.

Rate = 2 3/4% = 11/4% = 2.75%

Time = 10 years

n = daily = 360 days

First, convert R percent to r a decimal

r = R/100

r = 1.375%/100

r = 0.01375 per year,

Then, solve our equation for A

First, convert R percent to r a decimal

r = R/100

r = 2.75%/100

r = 0.0275 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 8,600.00(1 + 0.0275/360)^(360)(10)

A = 8,600.00(1 + 7.6389E-5)^(3600)

A = $11,322.05

After 10 years, how much more money would Melanie have in her account than Oliver, to the nearest dollar?

This is calculated as

$11,460.64 - $11,322.05

=$ 138.59

Approximately to the nearest dollar = $139

Answer:

139

Step-by-step explanation:

it’s right

Answer:

this would be a right triangle with the legs being 8 miles and 6 miles. using the Pythagorean theorem, the hypotenuse would be 10 miles long. therefore, he would be walking a total of four miles less if he walked diagonally.

Step-by-step explanation:

Answer:23

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

4<x because the arrow is going to the right, meaning that the value of x is greater and since the circle is hollow, it is not equal to 4 so that's why is

4<x

Answer:

4 < x

Step-by-step explanation:

Open circle = < and >

Closed Circle = ≤ and ≥

X is greater than 4 because it is going to the right

Answer:

1. 5 in squared

2. 7 cm squared

3. 12 ft squared

4. 12 m squared

5. 24 yd squared

6. 15 mi squared.

Step-by-step explanation:

Hope this helps. You can search up how to find area too! Like how to find area of square or triangle or trapezoid!

Answer:

i think it's B. (5 x 4) + 2

Step-by-step explanation:

pls give brainly crown

and if i'm wrong i'm sooooo sorry

Answer:Write the equation of this geometric sequence and find the value of the 9th term.

1/3, 1, 3, 9...

F(n)=

F(9)=

Step-by-step explanation:

You can put this solution on YOUR website!

The total of Jenny's 5 tests = 375

If she wants an average of 77 then

her 6 tests must total 6 x 77 = 462

462 - 375 = 87 which is what Jenny

must score on the sixth test for an

average of 77.

:-)

Answer:

79

Step-by-step explanation:

Sum of 4 test for Average of 82 must be 82 x 4 which is 328.

Subtract previous 3 scores from 328:

328 - (98 + 83 + 68)

328 - 249 = 79

She needs a 79

Answer:

x=8

Step-by-step explanation:

15/12 = 1.25

1.25x = 10

x = 8

Literally the first thing i saw was Xbox. lol :)

Answer:

8

Step-by-step explanation:

15/12=10/x

15x=120

x=120/15

x=8

Answer:

The answer is below

Step-by-step explanation:

The options are not clear. I would solve a similar question.

A linear function is a function in the form:

y = mx + b;  where y and x are variables, m is the slope and b is the y intercept.

From the options:

a) y = 3x³

Since the equation is not in the form of y = mx + b, hence it is not a linear function. It is a nonlinear function.

b) 3x + 2y = 10

2y = -3x + 10

The equation is in the form of y = mx + b, hence it is a linear function.

c) y = 15.3

The equation is in the form of y = mx + b, hence it is a linear function.

d) y = (1/4)x - 2

The equation is in the form of y = mx + b, hence it is a linear function.

Answer:

30 cm

Step-by-step explanation:

set up a proportion of insect height over its shadow equals flower height over its shadow, then cross-multiply

1/.5 = x/15

.5x = 15

x = 30

Answer: 2.5833

Step-by-step explanation:

K = 1/4 or .25

3/5 = .6

3 - 0.25 / .6 = 2.5833

Answer:

x = 4.5

Step-by-step explanation:

Solve for x by using the quadratic formula

x = -12 + or - [tex]\sqrt{144+2160}[/tex] / 8

so (-12 + 48) / 8 or (-12 - 48) / 8

so 36/8 or -60/8, they just want the positive solution so x = 4.5

Answer:

15

Step-by-step explanation:

10x - 23 + 10x - 23 + 106 = 360

20x + 60 = 360

20x = 300

x = 15

Answer:

Step-by-step explanation:

It might be A or D I’m not for sure which one it is.

Answer:

x = 3, y = 1

Step-by-step explanation:

If your question is this: 2x + 4x + 8y + 16y = 42

6x + 24y = 42

3x + 12y = 21

For x and y are positive integers, there is only 1 set of x = 3 and y = 1 is the solution  (because x = 7 and y = 0 is excluded)

check: 6 + 12 + 8 + 16 = 42

Answer:

He got 5 questions wrong so he scored a 75%

Step-by-step explanation:

I hope this helps :)

Answer:

15 questions correct

Step-by-step explanation:

So you know that Diego took a 20 question quiz and got 75% on it so you have to find 75% of 20. 75% is also 3/4, so 3/4x20=60/4=15.  Therefore, he got 15 questions correct.

Hope this helps

Answer:

i would recamend useing a ruler to help?

Step-by-step explanation:

mark me brainlyest i really need it

Answer: The graph ou are looking for is added in the picture.

Graph 1 shows the correct representation the solution of the system.

The point that satisfies all of the equations in a system of linear equations is called the solution.

A system of linear equations could be solved through graphing as well as identifying the intersection point, or by solving the variables algebraically.

here, we have,

For the given question;

The system of linear equation are given as;

x + 2y ≤ 16  .......eq 1

4x + y > 6    ......eq 2

Consider equation 1;

x + 2y = 16

For x = 0; y = 8 , Point = (0, 8)

For y = 0, x = 16, Point = (16, 0)

As the inequality of the eq 1 is less than equal to, the shaded region will lies below the line with solid lines.

Consider equation 2;

4x + y = 6

For x = 0; y = 6 , Point = (0, 6)

For y = 0, x = 1.5, Point = (1.5, 0)

As the inequality of the eq 2 is greater than, the shaded region will lies above the line with doted lines.

Thus, graph 1 shows the correct representation the solution of the system.

To know more about the solution of system of linear equation, here

brainly.com/question/13054392

#SPJ3

complete question:

Which graph is the solution of the system

x+2y≤16

4x+y>6

1 2 3 4

Answer:

its loaded

Step-by-step explanation:

i cant see how thats possible at all

Answer:0.5

Step-by-step explanation:

1/2 devide by 3 = 0.16666666666

0.16666666666 times 3 = 0.5

Answer:

[tex]\sqrt{2}[/tex]

Step-by-step explanation:

We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:

[tex]tan(45)=\frac{x}{\sqrt{2}}[/tex]

Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:

We multiply the denominator of the fraction by [tex]\sqrt{2}[/tex]. [tex]\sqrt{2}[/tex] multiplied by itself is simply 2. Try it! We also want to multiply the numerator by [tex]\sqrt{2}[/tex], but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:

[tex]tan(45)=\frac{x\sqrt{2} }{2}[/tex]

Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.

[tex]\frac{x\sqrt{2} }{2*2} =x\sqrt{2}[/tex]

[tex]tan(45)*2=2[/tex]

We can plug 2 in for the x in the numerator now:

[tex]\frac{2\sqrt{2} }{2}[/tex]

2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of [tex]x=\sqrt{2}[/tex]

Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)

Answer:

i plus mo lng po iyan halimabawa yung number 7.4+8=12 po

Step-by-step explanation:

sana makatulong

Answer:

X=25°

Step-by-step explanation:

[tex]x = \frac{1}{2} (t2 - 22) [/tex]

[tex] = \frac{1}{2} (50)[/tex]

[tex] = 25[/tex]

[tex]x = 25[/tex]

hope it helps u

Answer:

it would be A

Step-by-step explanation:

hopefully it helped