answer questions 15 and 16.

Answer:

29%

Step-by-step explanation:

210-150/210 = 60/210 or 6/21

Now we have to find the percent out of 100 so we have to find out 100/21 to see what we have to multiply by to get to 100 so we can do the same with the 2 (numerator) so 1000/21= 4 16/21

then we have to multiply the 6 by 4 16/21 which is about 29%

Answer:

370 millimeters of compound B is needed for 666 millimeters of solution.

Step-by-step explanation:

Given that:

4 millimeters of compound A are used for every 5 millimeters of compound B.

The scientist wants to make 666 millimeters of solution.

Let,

x be the multiplier number of the compounds in the solution.

Then,

4x + 5x = 666

9x = 666

Dividing both sides by 9

[tex]\frac{9x}{9}=\frac{666}{9}\\x=74[/tex]

Millimeters of compound B = 5x = 5(74) = 370 millimeters

Hence,

370 millimeters of compound B is needed for 666 millimeters of solution.

Given:

A piecewise function

[tex]f(x)=\begin{cases}3 &,x<0 \\ x^2+2 &,0\leq x<2 \\ \dfrac{1}{2}x+5 &,x\geq 2 \end{cases}[/tex]

To find:

The range of the function.

Solution:

Range is the set of output values.

For [tex]x<0[/tex], the function is [tex]f(x)=3[/tex]       ...(i)

For [tex]0\leq x<2[/tex], the function is [tex]f(x)=x^2+2[/tex].

[tex]0\leq x<2[/tex]

Squaring each side.

[tex]0^2\leq x^2<2^2[/tex]

Adding 2 on each side.

[tex]0+2\leq x^2+2<4+2[/tex]

[tex]2\leq f(x)<6[/tex]               ...(ii)

For [tex]x\geq 2[/tex], the function is [tex]f(x)=\dfrac{1}{2}x+5[/tex].

[tex]x\geq 2[/tex]

Divide both sides by 2.

[tex]\dfrac{1}{2}x\geq 1[/tex]

Adding 5 on each side.

[tex]\dfrac{1}{2}x+5\geq 1+5[/tex]

[tex]f(x)\geq 6[/tex]                 ...(iii)

From (i), (ii) and (iii), it is clear that the values of f(x) lies in the interval [2,∞).

So, the range of the given function is [2,∞).

Therefore, the correct option is b.

correct answer is B

Life is a high way i wan to drive it all night long.

Answer:

Step-by-step explanation:

Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = -6 x-intercepts at x = -5 and x = 3 y-intercept at 7

Answer:

The name of the shape that looks like a rectangle is a square

Answer:

epic

Step-by-step explanation:

Answer:

I beilieve it would be about 24 tanks

Step-by-step explanation:

Step-by-step explanation:

512^(1/n) = 8

(2⁹)^(1/n) = 2³

2^(9/n) = 2³

=> 9/n = 3, n = 3. (D)

P.S.

Law of Indices: (a^m)^n = a^(mn)

Answer:

A

Step-by-step explanation:

A.

I thought I just answered this

Answer: I learned about these a few years ago in math, and I hated it and sucked at it and it was awful, but ANYWAY, I think the answer is A, angle side angle

Step-by-step explanation: I think the answer is A because:

Angle-side-angle (asa) is when two angles and a side are the same on two triangles, they are congruent.

Angle-angle-side (aas) is when two sides and an angle are the same on two triangles, they are congruent.

Side-side-side (sss) is when all the sides of two triangles are the same, they are congruent.

Side-angle-side (sas) is when two sides and an angle are the same on two triangles, they are congruent.

So Angle side angle is the only one that makes sense. But again, I sucked at this when I was learning it, so I could be totally wrong. I'm pretty sure I'm right though. If I am, would you mind marking branilest? :)

Answer:

(-5, -3)

Step-by-step explanation:

To graph the two equations, you can look at two things, the slope and the y-intercept.

The two equations are in slope-intercept form, y= mx + b. m is the slope and b is the y-intercept. The slope is rise/run and the y-intercept is where the line crosses the y-axis.

In the first equation, the slope is -1 and the y-intercept is -8. So, to graph you would start at (0, 8) and move up one unit and then left one unit to get the next point.

For the second equation, the slope is 2/5 and the y-intercept is -1. So, to graph you would do the same thing. Start at (0, -1) and then go up 2 units and right 5 units to get the next point.

I've attached a graph below if you need it.

Answer:

Step-by-step explanation:

-x + 5 = 5x - 6

-6x + 5 = -6

-6x = -11

6x = 11

x = 11/6

-11/6 + 30/6= 19/6

(11/6, 19/6)

answer is C

Answer:

-2<x<8

see below for graph

Step-by-step explanation:

First, we need to solve the inequality.

Inequality: |x-3|<5

Split into two equations:

x-3<5

x-3>-5 (notice how the sign is flipped when we make the number negative)

let's start with x-3<5

add 3 to both sides

x<8

now

x-3>-5

add 3 to both sides

x>-2

The graph is below

the intersection is the solution.

Notice how I made the maroon line go to the right- which shows that it's greater than (for x>-2) and the silver line go to the left, which shows that it's less than (for x<8)

the equation is -2<x<8

Hope this helps!

Answer:

Imma Go With A

Step-by-step explanation:

Hope I Helped :)

Have A Good Day

Btw Let Me Know If I Did Help

look this question has already been answered

https://brainly.com/question/1556676

https://brainly.com/question/1556676

https://brainly.com/question/1556676

https://brainly.com/question/1556676

Answer: 5 1/2

Step-by-step explanation:

12 5/6 - 7 1/3

Find an equivalent fraction for 7 1/3

12 5/6 - 7 2/6

5 3/6

Simplify

5 1/2

12 5/6 - 7 1/3

12-7= 5 and

5/6-1/3= {lcm of 6 and 3}

5-2/6= 3/6

3/6 = 1/2

final answer = 5 1/2

Answer:

x=5 and y=-2

Step-by-step explanation:

The given system of equations are :

7x +y = 33  ....(1)

-7x + 6y = -47 ....(2)

We need to find the solution of the given equations.

Adding equation (1) and (2) we get :

7x +y + (-7x) +6y = 33+(-47)

7y = -14

y = -2

Put the value of y in equation (1).

7x +(-2) = 33

7x-2=33

7x=33+2

7x = 35

x = 5

Hence, the solution of the above equations are x=5 and y=-2

Answer:

b 20.6

Step-by-step explanation:

Answer:

30 minutes

Step-by-step explanation:

half an hour means 30 minutes

Answer: 800 envelopes

Step-by-step explanation:

Sam and her friends are working at a rate of 100 letters in envelopes per hour per person. So, if there are 4 people helping including sam, you just have to multiply 400 by 2 hours, which will give you 800.

Answer:

y = 103

y = 180 - 77 = 103

Step-by-step explanation:

........

Answer:

103

Step-by-step explanation:

All we have to do is subtract the measure of the line which is 180 by 77 to get the measure of < y. Since they are adjacent to each other this concept will work but if they weren't it would be a little different.

[tex]y+77=180\\y=130[/tex]

So the measure of < y is 130°

Answer:

False the radius would be 6.5

Step-by-step explanation:

Hope this Helps! :)

Answer:

2.5 kg

Step-by-step explanation:

1000 grams in 1 kg

2500 grams in 2.5 kg

Answer:

55= 39 2/7

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

As per the first row of proportional relationship, the proportion is:

The function is therefore:

a) Table is filled in below:

distance (cm)             |         weight (newtons)

20                               |         28

55                               |         55*1.4 = 77

140/1.4 = 100              |          140

1                                  |           1*1.4 = 1.4

---------------------------------------------------------------

b)  The scale should consider the coefficient 1.4, therefore x- axis will have a scale of 100 with intervals of 1 cm and y- axis will have a scale of 140 with intervals of 1.4 newtons

Answer:

156.25

Step-by-step explanation:

So, we know that  this is a square so we know that each side will equal the same.

So, all we need to do is divide 625 by 4. We will get 156.25.

Hope this helps!

Answer:

13x=y

-3 + 16 = 13

13x=y

Answer:

60 photos

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

because there is 60 minutes in an hour so she ca take 60 pics in 1 hour.

Answer:

The answer is:

[tex]y = \frac{1}{3} x - \frac{5}{3} [/tex]

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

[tex]y = mx + b[/tex]

❃Incase you also forgot, The is what the slope formula is ☟

[tex]m = \frac{y_2 - y_1 }{x_2 - x_1}[/tex]

➊ First: We are going to be solving for the slope.

[tex]m = \frac{ - 5 - 0}{ - 10 - 5} = \frac{ - 5}{ - 15} = \frac{1}{3} [/tex]

➋Second: We find the y-intercept.

[tex]y = mx + b \\ 0 = \frac{1}{3} (5) + b \\ 0 = \frac{5}{3} + b \\ \frac{ - \frac{5}{3} = - \frac{5}{3 } \: \: \: \: \: \: \: \: \: \: \: \: }{ - \frac{5}{3} = b} [/tex]

➌Third: Plug in.

[tex]y = \frac{1}{3} x - \frac{5}{3} [/tex]

Answer:

The width of the scale model is 33 inches.

Step-by-step explanation:

This question is solved making a relation with the scale model.

In the scale, 3 inches are worth 11 real feet.

The actual width of the building is 121 feet, so we find it's scale by a rule of three.

3 inches - 11 feet

x inches - 121 feet

[tex]11x = 121*3[/tex]

Simplifying by 3, both sides

[tex]x = 11*3 = 33[/tex]

The width of the scale model is 33 inches.