Mrs. Pregnals's biology classes are going on a field trip. She has them break into groups of three or four
students in order to do labs. She has a total of 120 students and 32 total groups are formed.
If i represents the number of three person groups and represents the number of four person groups, then
write a system of equations that models this situation.

Answer:

the number of milligrams of the vitamin in the drink is 75 mg

Step-by-step explanation:

The computation of the number of milligrams of the vitamin in the drink is as follows:

= RDA of the vitamin × given percentage ÷ percentage

= 50 mg × 150 ÷ 100

= 75 mg

hence, the number of milligrams of the vitamin in the drink is 75 mg

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

6x = 84 - 2y

14x = 72 - 2y

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

240 + 60 = 300 you can tell this by realising that ratio to have 4x one over the other would be 20 per 100, using this rate 3x, 240 and 60

Answer:

x = 60

Step-by-step explanation:

Length of small piece = x

length of large piece = 4x

x+ 4x = 300

5x = 300

x = 60

Answer:

Four and one hundreds

Step-by-step explanation:

Answer:

word form: four and one hundredth

mixed number: 4[tex]\frac{1}{100}[/tex]

Step-by-step explanation:

four and one hundredth

4[tex]\frac{1}{100}[/tex]

Answer:

-1

Step-by-step explanation:

Remember, slope is rise/run

Start from a point on the line and count up and over until you reach another point on the line.

For example, start from (0,-2), count up and left until you get to (-2,0). This gets you 2/2, which reduces to 1.

Since the line represents a negative slope, the slope is -1.

Answer:

??????

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

27 - 25 = 2

2/25 x 100 = 8%

8% increase

answer is 8%

Answer:

8%

Step-by-step explanation:

2/25 is equal to 8/100 so therefore it is 8%

225 percent

Step-by-step explanation:

150 is the whole and 150 divided by 150 is 1.

1 whole is 100 percent

Answer:

225 will be correct

Step-by-step explanation:

Answer:

(N+1)/2 item

Step-by-step explanation:

(N+1)/2 item is the correct answer.

Answer:

well for me

Step-by-step explanation:

hypotenus square=opposite square+adjacent square

H^2=O^2+A^2

H^2=3^2+9^2

H^2=9+81

H^2=90

H=✓90

H=9.487

H=9.5

Answer:

904.32 cubic ft

Step-by-step explanation:

To find the volume of a sphere, the formula is [tex]4\pi\frac{r^3}{3}[/tex]

First, 3.14 * 4 for 12.56.

The radius is 6, and that cubed is 216.

After that, divide 216 by 3 for 72

Then, 12.56 times 72, which gets you the final answer of  904.32 cubic ft.

(10 * 72) + (2 * 72) + (0.5 * 72) + (0.06 * 72)

720 + 144 = 864

864 + 36 = 900

900 + 4.32 = 904.32

Your answer is D, I took the test.

option is c=2/3

2/3+ 1/7 = 17/21

Answer:

The answer is below

Step-by-step explanation:

1) Below are the linear equations.

7x+y=4         (1)

3x−2y=3      (2)

The above linear equations are a system of equations. The substitution method is a technique for solving systems of linear equations.

Given that:

7x + y = 4

y = 4 - 7x

substitute y = 4 - 7x in equation 2, hence:

3x - 2(4 - 7x) = 3

3x - 8 + 14x = 3

17x = 3 + 8

17x = 11

x = 11/17

Put x = 11/17 in y = 4 - 7x

y = 4 - 7(11/17)

y = -9/17

2) 2x−y=−4     (1)

−5x+3y=14     (2)

From equation 1:

2x−y=−4

y = 2x + 4

Put y = 2x + 4 in equation 2:

-5x + 3(2x + 4)  = 14

-5x + 6x + 12 = 14

x + 12 = 14

x = 2

Put x = 2 in y = 2x + 4:

y = 2(2) + 4

y = 8

Answer:

1. Raffi forgot to place the substituted expression in parentheses.

2. (2, 8)

Step-by-step explanation:

If you are taking the Solving Systems With Substitution Quick Check from Connexus here are all of the answers:

1. Solve one linear function in terms of one of its variables.

2. Substitute 3y from the second equation for x in the first equation.

3. Raffi forgot to place the substituted expression in parentheses.

4. Yes, because substituting the given ordered pair yields two true expressions.

5. (2, 8)

Answer:

12 divide by 5 is easy lemme show you

Step-by-step explanation:

The stuff on the left

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

Triangle 1 can have 30°, 75° and 75° angles whereas Triangle 2 can have 30°, 30° and 120° angles.

Since they do not have all 3 congruent angles, they are not similar.

Answer:

no it is not a function

Step-by-step explanation:

function- for every input there is only one output

(1,7),(2,13),(3,13) it has two 13 so it is not a function

Answer:

Answer at the bottom!!

Step-by-step explanation:

Given the diameter of cylinder = 1.4 m

=> Radius = 1.4/2 = 0.7 m

We know that volume of a cylinder = πr²h

= 3.14 x 0.7² x 2.1= 3.23 m³

For the pipe radius = 3.5/2 = 1.75 cm = 0.0175m

water flows at a rate of 2 m per second

So, volume of water discharged in one second by pipe = πr²L

= 3.14 x 0.0175² x 2=0.0019

Hence time taken by the pipe to fill the cylinder

= 3.23/0.0019= 1700 sec

= 28 minutes and 20 seconds

Hence the time taken by the pipe to fill the cylinder is 28 minutes and 20 seconds.

Hope this helps!!

Answer:

hi

Step-by-step explanation:

=================================================

Explanation:

x = price of camera before tax

1.07x = price of camera after tax

note how 1.07 is the result of 1 + 0.07

1 = 100%

0.07 = 7%

1.07 = 107%

So 1.07 means the price has gone up by 7%

Set 1.07x equal to 45 and solve for x

1.07x = 45

x = 45/1.07

x = 42.0560747663551

x = 42.06

The highest price Eddie can afford is $42.06, which is the value of the camera before tax is applied

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

note how 7% of 42.06 = 0.07*42.06 = 2.9442 = 2.94

So the tax is $2.94 which adds onto the $42.06 to get

2.94+42.06 = 45

Answer:

3 + 5 + 7

Step-by-step explanation:

In addition it does not matter what order the numbers are in.

Answer:

The second box for b will be 7

Step-by-step explanation:

If c = 10 , b = 5

If c = 14 , b = 7

If c = 18 , b = 9

If c = 22 , b = 11

If c = 26 , b = 13

Answer:

7

Step-by-step explanation:

I know

Answer:

The answer should be $12.43

Answer: y=(3)/(2)x+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the picture attached, equation of the perimeter of the fence of the backyard should be,

(x + 60) + (60) + 2(30) = 200

x + 2(60) + 2(30) = 200

x + 120 + 60 = 200

x + 180 = 200

x = 200 - 180

x = 20 ft

If the given equation for the perimeter for the fencing of the backyard (As given in the question) is,

2(x + 60) + 2(30) = 200

2x + 120 + 60 = 200

2x + 180 = 200

2x = 20

x = 10 ft

Answer:

2(x + 60) + 2(30) = 200

2x + 120 + 60 = 200

2x + 180 = 200

2x = 20

x = 10 ft

Step-by-step explanation:

y = 0.5x + 4

When y = 2, x = -4. (shown in graph)

When y = 6, x = 4. (shown in graph)

Hence the domain would be -4 <= x <= 4.

Answer:

There is no question attached.

Step-by-step explanation:

Answer:

1/5 * 1/2 = 1/10

Step-by-step explanation:

Choose any two factor fractions less than 1. The result (product) will be necessarily smaller than each of the factors. Above answer is an example

1/5 * 1/2 = 1/10, where it is clear that

1/10 < 1/5 and

1/10 < 1/2

Answer:

13

Step-by-step explanation:

you have to do 8 times 4 minus 19

hope this helps dont 4get to like and star

-mercury

Answer:

13

Step-by-step explanation:

Given

8h - 19 ← substitute h = 4 into the expression

= 8(4) - 19

= 32 - 19

= 13

Answer:

Step-by-step explanation:

Jennifer's account:

William's account can be expressed as:

Because the rate of change is 14 and y-intercept is 30

They will be same after x years, f(x) = g(x)

The accounts will be same after 5 weeks

The amount in the accounts after 5 weeks:

Answer:

5 weeks

Step-by-step explanation:

Find the equation of willam's account:

1. find rate x1-x2

44-30      plug in

14 =rate  30=y-intercept     starting valuse is always intercept

44+14=58       check

f(x)= 10x+50

f(x)= 14x+30     solve

10x+50=14x+30   set values together

20=4x        subtract 10x and 30 from both sides

x=5

Answer:

5.61 billion dollars.

Step-by-step explanation:

4.61+1.03=5.61

Answer:

0.223

Step-by-step explanation:

Change the divisor 4.61 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

103 ÷ 461 = 0.223

and therefore:

1.03 ÷ 4.61 = 0.223

Both calculated to 3 decimal places.

Answer:

5/6

Step-by-step explanation:

2/3 ÷ 4/5

~Copy Dot Flip

2/3 * 5/4

~Multiply

10/12

~Simplify

5/6

Best of Luck!

Answer:

5/6

Step-by-step explanation:

Keep Change Flip

2/3 x 5/4 = 10/12

10/12 simplifies to 5/6