5 pts
Given this situation:
A group of freshmen and sophomores are on a field trip. The
number of freshmen is five less than twice as many than the
number of sophomores.
If there are a total of 40 people on the field trip, how many
are freshmen and how many are sophomores?

Answer:

She factored out a 4 from the equation.

Step-by-step explanation:

So our original equation is 12x + 4 = 20x - 12

Anika's first steep of her equation is 3x + 1 = 5x - 3

We know that the terms were not moved around, so the first step was likely multiplication or division.

We also see that a 4 has been factored out of the entire equation, like this:

12x + 4 = 20x - 12

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

And these 4's cancel each other out.

So, I conclude that Anika's first step was dividing the entire equation by 4 or factoring out a 4 from the equation.

Answer:

15

Step-by-step explanation:

7e (7×6) = 42

42 - 9 = 33

3e (3×6) = 18

33 - 18 = 15

Answer:

0.2 and 11.8

Step-by-step explanation:

Answer:

x+12

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

CD = ED --- (secant property)

so, ==>>

13x - 16 = 4x + 11

13x - 4x = 11 + 16

9x = 27

x = 27÷9

x = 3

side ED = 4x + 11 = 4×3 + 11

side ED = 23

side FE = 12

ΔFED = 90° ...... (tangent secant property)

so.........

FE² + ED² = FD² ......... ( by pythagoras theorm)

12² + 23² = FD²

144 + 529 = FD²

673 = FD²

√673 = FD

26 = FD

Answer:

26

Step-by-step explanation:

Answer:

The answer would be A

Step-by-step explanation:

the answer is A because it shows the correct set of data

Answer:

I believe it's 44% could be wrong tho sorry-

Answer:

[tex]\displaystyle y=\sin(x),\text{ where } 0\leq x\leq\pi/4[/tex]

Step-by-step explanation:

The curve passes through the point (x, y) = (0, 0) and has an arc length on the interval [0, π/4] given by the integral:

[tex]\displaystyle \int_{0}^{\pi/4}\sqrt{1+\cos^2(x)}\, dx[/tex]

And we want to find the equation of the curve.

Recall that arc length is given by:

[tex]\displaystyle L=\int_a^b\sqrt{1+\Big(\frac{dy}{dx}\Big)^2}\, dx[/tex]

Rewrite our original integral:

[tex]\displaystyle \int_{0}^{\pi/4}\sqrt{1+(\cos(x))^2}\, dx[/tex]

So:

[tex]\displaystyle \frac{dy}{dx}=\cos(x)[/tex]

It follows that:

[tex]\displaystyle y=\sin(x)+C[/tex]

Using the initial condition:

[tex]0=\sin(0)+C\Rightarrow 0=0+C\Rightarrow C=0[/tex]

The equation for our curve is:

[tex]\displaystyle y=\sin(x),\text{ where } 0\leq x\leq\pi/4[/tex]

Answer: 32002544

Step-by-step explanation:

Answer:

x = 1

y = 0

Step-by-step explanation:

3x - y = 3

2x - y = 2 , then y = 2x - 2

substitute for y:

3x - (2x - 2) = 3

combine like terms:

x + 2 = 3

subtract 2 from both sides of the equation:

x = 1

y = 2(1) - 2 = 0

Answer:

x=5, y=8

Step-by-step explanation:

let 3x-y=3 be [1]

and 2x-y = 2 be [2]

Change up [2] to:

2x=2+y

2x-2 = y and name this [3]

Sub [3] into [1]

3x-(2x-2)=3

3x-2x-2=3

x-2=3

x=5

Sub x=5 into [3]

2(5)-2=y

10-2=y

8=y

Answer:

3.1

Step-by-step explanation:

if the last number is less thank five round down

Answer:

36

Step-by-step explanation:

You do 120 multiplied by .3 to get 36. This makes the discount amount is $36 which also means you only pay $84 for the coat.

Answer:

y= x^3+3x^2-6x-8

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

(2n+4)+6=-9+4(2n+1)

2n+4+6=-9+8n+4

2n+10=-9+8n+4

2n-8n=-9+4-10

-6n=-5-10

-6n=-15

6n=15

n=15/6

simplify

n=5/2

Answer:

Step-by-step explanation:

The sum of these adjacent angles must sum to 180 degrees (also the sum of all angles must be 360)

a+5a=180

6a=180

a=30

The larger angle is 5a so the larger angle is

5(30)=150 degrees.

Answer:

x=1

Step-by-step explanation:

Answer:

∠DAB = 99°

Step-by-step explanation:

Given:

ABCD is  PARALLELOGRAM

∠CDA = 81°

Find:

∠DAB

Computation:

ABCD is  PARALLELOGRAM

So,

∠CDA + ∠DAB = 180°

81° + ∠DAB = 180°

∠DAB = 99°

Answer:

its  5y−30

         2

Step-by-step explanation:

Because lets put this problem in slope form. The form is Y=mx+b

ok now lets put it with the number Y=2/5+6

Answer:

84 ounces of pure gold

Step-by-step explanation:

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?

Pure gold = 100% gold

Let the number of ounces of pure gold = x

Hence, we have the equation

40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces

= 0.4 × 60 + 1x = 0.75(60 + x)

= 24 + x = 45 + 0.75x

Collect like terms

x - 0.75x = 45 - 24

0.25x = 21

x = 21/0.25

x = 84 ounces

Therefore, we need 84 ounces of pure gold

84 ounces of pure gold must be added

The first is to write out the parameters

Jess has 60 ounces of alloy

40% of this alloy is pure gold

The number of ounces that should be added can be calculated as follows;

Let y represent the unknown

40/100(y)(60) + 100/100(y)= 75/100(60+y)

24 + y= 0.75(60+y)

25 + y= 45 + 0.75y

24 - 45= 0.75y -y

-21= -0.25y

y= 21/0.25

y= 84

Hence the number of ounces of pure gold required is 84 ounces

Please see the link below for more information

https://brainly.com/question/3922146?referrer=searchResults

Answer:

Step-by-step explanation:

We have:

Substitute J with 2R:

Regina needs 12 hours to complete work

and

Substitute R with J/2:

Jim needs 6 hours to complete same work

If Regina works as quickly as Jim:

Then

Jim can complete 1/6 of work in one hour, they both can complete twice work:

Time to complete work:

Answer:

Honestly, Mark above person answer as brainliest..okay

Answer:

95%

Step-by-step explanation:

912÷960=0.95

Hope this helps.

Answer:

Yes; for each input there is exactly one output. 2. ANSWER: No; the domain value 6 is paired with both 9 and 10. 3. {(2, 2), (−1, 5), (5, ... Draw a graph showing the relationship between

Step-by-step explanation:

i think that is the answer

Answer: Yes, the relatoin is a function. the graph of the function is a straight line.

Step-by-step explanation: If it is a straight line it is a function.

Step-by-step explanation:

awq-pzcq-mje

girls

come

to

see

my

22cm

sperm

fast

girl

Answer:

8y(7x^3-4x+2)

Step-by-step explanation:

Group and factor out the greastest common factor then combine

Answer:

this is my alt here ya go champ

Step-by-step explanation: