17. Five time as many girls as boys went to the dance. The total of 120 students went to

the dance.

a. If b represents the number of boys and g represents the number of girls, use

the numbers, variables, and symbols shown below to construct a system of

equations to model this situation. Some of the numbers, variables, and

operations will be used more than once and some will not be used at all.

b

g

+

10

3

4

1

5

120

2.

Answer:

2.547 = x

Step-by-step explanation:

tan 23 = x/6                  Use this equation to find the value of x

0.4245 = x/6                 Multiply both sides by 6

2.547 = x

Answer:

[tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].

Step-by-step explanation:

If a line passing through two points, then the equation of line is

[tex](y-y_1)=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It is given that the passing through (1,3) and (-9,-2).  So, equation of line in point slope form is

[tex]\Rightarrow (y-3)=\dfrac{-2-3}{-9-1}(x-1)[/tex]

[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x-1)[/tex]

Slope intercept form of a line is

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

where, m is slope and b is y-intercept.

Now,

[tex](y-3)=\dfrac{1}{2}(x-1)[/tex]

[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x}-\dfrac{1}{2}(1)[/tex]

[tex]\Rightarrow y=\dfrac{1}{2}(x}-\dfrac{1}{2}+3[/tex]

[tex]\Rightarrow y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex]

Therefore, the required equation is [tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].

Answer:

The Answer is C

Step-by-step explanation:

i think This is correct

Answer:

[tex]1\frac{7}{8}[/tex] or [tex]\frac{15}{8}[/tex]

Step-by-step explanation:

[tex]2-(\frac{7}{8} -\frac{3}{4} )=\\\\2-(\frac{7}{8} -\frac{6}{8}) =\\\\2-\frac{1}{8} =\\\\1\frac{7}{8} =\\\\\frac{15}{8}[/tex]

Answer:

Brainliest here!

Step-by-step explanation:

2- (7/8 -6/8) = 2-1/8

simplify = 1 7/8   or 15/8

Answer:

slope = - 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = - 1, 22) and (x₂, y₂ ) = (1, 14) ← 2 ordered pairs from the table

m = [tex]\frac{14-22}{1-(-1)}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4

Answer:

28

Step-by-step explanation:

bc = df x 2

14 x 2 = 28

I hope this helps

Answer:

Step-by-step explanation:

DB=√(y²-25)

again DB=√(x²-36)

so √(y²-25)=√(x²-36)

squaring

y²-25=x²-36

x²=y²-25+36

or x²=y²+11

also x²+y²=(6+5)²

x²+y²=121

y²+11+y²=121

2y²=121-11

2y²=110

y²=110/2=55

y=√55

Answer:

y=45x+75

Step-by-step explanation:

The x represents the months and the one time fee is added

Answer:

3x + 3

Step-by-step explanation:

to find the area we do length times width so to find the area of this rectangle we do 2x + 1 * x + 3

for this equation we have an order of operations problem we have to multiply 1 * x first so the answer becomes 3x + 3 because after the order of operstions the equation becomes 2x + 1x + 3

we then combine like terms / the x's

2x + 1x = 3x

then add 3

3x + 3

Answer:

vertical line through the point (-6,0)

Step-by-step explanation:

Vertical lines have an undefined slope.

Answer:

280

Step-by-step explanation:

30%=30/100=0.3

Let's call the mystery number x.

84=0.3x

84/0.3=0.3x/0.3

x=84/0.3=280

Hope this helps!

Ms. Wolfram should ask her husband Stephen, who's an incredible mathematician and computer scientist who's given the world a great gift in the website Wolfram Alpha which can answer all your math questions and more.

Anyway the volume of the bin is length times width times height,

V = 4 × 18 × 9 = 648 cubic inches

So the volume of brown is 20 % of that

B = 20% of V = .2 × 648  = 129.6 cubic inches

The volume of green is 30%,

G = 30% of V = .3 × 648 = 194.4 cubic inches

Answer: Green 194.4 cubic inches, Brown 129.6 cubic inches

Answer:

$252

Step-by-step explanation:

We need to find 30 percent of 400 dollars. Thirty percent can be written as 30/100, or 0.3.

Multiply 400 by 0.3, and we get $120. Since $120 is 30% of 400, we subtract 400 by 120. This gives us $280.

$280 is now the sale price. We need to find 10% of 280. Multiply 280 by 0.1, which gives us $28. This amount is taken off of the sale price, so we need to subtract 28 from 280.

280-28 is $252. This is the final price she will pay.

Answer:

6x^2

Step-by-step explanation:

What goes in the box is

2x* 3x

6 x*x

6x^2

Answer:

92

Step-by-step explanation:

If the ratio of adults to kids is

2:23

it will also be equal as

8:92

Multiplying each half times 4!

Answer:

1,4,6,  are the answers

Step-by-step explanation:

Answer:

the first, the fourth and the sixth

Step-by-step explanation:

i just did it

Answer:

We cannot have a single point of solution

Step-by-step explanation:

When the boundary lines are parallel, we can have no solution,  or infinite solutions.  We cannot have a  single point of solution

Answer:

I believe there is no single solution

Answer:

[tex]1.20 x 10^{6}=1,200,000\\\\6.0 x 10^{5}=600,000[/tex]

Step-by-step explanation:

You move the decimal place over 6 times for the first equation and 5 for the second equation.

Hope this helps! Have a great day! :)

Answer:

g(x) is a vertical compression of f(x)

Step-by-step explanation:

Equation of graph 1 :[tex]f(x)=x^2[/tex]

Equation of graph 2 :[tex]g(x)=\frac{2}{3}x^2[/tex]

f(x)→a f(x)

Its is case of vertical stretch or compression

Vertical stretch if |a|>1

Vertical compression if 0<|a|<1

f(x)→a f(x)

So, [tex]x^2[/tex] →[tex]\frac{2}{3}x^2[/tex]

So, [tex]a= \frac{2}{3}=0.67[/tex]

So,0<|a|<1

So,It is a case of vertical compression

So, g(x) is a vertical compression of f(x)

x=-7

We can write them both like functions like this

A= 5x -4

B= 3x +8

Where

x=input

A=Output A

B=Output B

We want the output of A 3 times the output of B this can be written like this:

A= 3b

we replace with the functions

5x-4 = 3(3x+8)

solve for x and you get -7

Answer:

it is D = 7, 2, -3

Step-by-step explanation:

step 1

-5 x -1 + 2 = 7

step 2

-5 x 0 + 2 = 2

step 3

-5 x 1 + 2 = -3

hope this help's

Answer: D = 7, 2, -3

Step-by-step explanation:

Answer:

x≥2

Step-by-step explanation:

-6≥10-8x

+6      +6

= 0≥16-8x

+8x    +8x

= 8x≥16

/8       /8

= x≥2

Answer:

2≤x

Step-by-step explanation:

−6≥10−8x

Subtract 10 from each side

−6-10≥10-10−8x

−16≥−8x

Divide each side by -8, remembering to flip the inequality

-16/-8 ≤-8x/-8

2 ≤x

Answer:

1) {(0,5), (4,2), (6,9), (9,10)}

Step-by-step explanation:

Lets right the table in more clearer view.

x         f(x)

0           5

4           2

6           9

9          10

The relation in coordinates form is written as (x, y) , x being the first term and y being the second term.

For x = 0, y = 5, so it can be written as (0,5)

Similarly, we can write the next values as:

(4,2)

(6,9)

(9,10)

So the data in the table is:

(0,5), (4,2), (6,9), (9,10)

It can be written is a set form

{(0,5), (4,2), (6,9), (9,10)}

Which is the same as option 1.

Hence, Option 1 is correct.

Answer:

A

Step-by-step explanation:

took the quiz edge 2020

Answer:

Step-by-step explanation:

y - 9 = 2(x - 1)

y - 9 = 2x - 2

y = 2x + 7

Answer:

100 should be added to 'complete the squre'

Step-by-step explanation:

[tex] {x}^{2} - 20x + 24 = 0 \\ ( {x}^{2} + 2 \times 10 \times x + {10}^{2}) - {10}^{2} + 64 = 0 \\ {(x - 10)}^{2} - 100 + 64 = 0 \\ {( x - 10)}^{2} - 36 = 0 \\ {(x - 10)}^{2} = 36 \\ (x - 10) = \pm 6 \\ x = 10 \pm 6 \\ x = 10 + 6 \: \: or \: \: x = 10 - 6 \\ x = 16 \: \: or \: \: x = 4[/tex]

Answer:

The 4th option

Step-by-step explanation:

-3 will make you go down

Answer:

To get the function g, shift f up by 3 units and to the right by 9 units.

Step-by-step explanation:

The given functions are

[tex]f(x)=x^2[/tex]

[tex]g(x)=(x-9)^2+3[/tex]

If f(x) is a parent function, then g(x) can be written in the form of f(x) as

[tex]g(x)=f(x-9)+3[/tex]        ...(1)

The translation is defined as

[tex]g(x)=f(x+a)2+b[/tex]       ... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=-9,b=3[/tex]

It means, to get the function g, shift f up by 3 units and to the right by 9 units.

Answer:

To get the function g, shift f up by 3 units and to the right by 9 units.

Step-by-step explanation:

Answer:

2nd option is the correct answer.

Step-by-step explanation:

[tex] \because \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{-4ac+b^2}{4a^2}\\\\

\therefore \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{b^2-4ac}{4a^2}\\\\

\therefore \bigg(x + \frac{b}{2a}\bigg) = \pm \sqrt {\frac{b^2-4ac}{4a^2}} \\\\

\purple {\boxed {\bold {\therefore x + \frac{b}{2a}= \frac{\pm\sqrt{b^2-4ac}}{2a}}}} \\\\[/tex]

Answer:

B

Step-by-step explanation:

Answer:

2, and 4 and 5 are possible solutions.

Step-by-step explanation:

It's not confirmed that 4 and 5 are, but they could be. 2 is a definite, unless E=.002 or something like that.

Answer:

39 - s

Step-by-step explanation:

she has 28 she finds 11 more (28+11) and she gives s amount away (28+11-s) simplify 39 - s