4. Jenny sells two types of lanyards, solid color or
striped. She charges more for striped lanyards than
for solid color lanyards. The amount of money, in
dollars, that she collects from selling x lanyards of
one type and y lanyards of the other type can be
modeled by the expression 3x + 5y.
What does the variable y represent in this
situation?
A. The number of solid color lanyards sold.
B. The number of striped lanyards sold.
C. The selling price of one solid color lanyard.
OD. The selling price of one striped lanyard.

Hello,

(i) Express n as the subject.

[tex]C=\frac{nA}{n+12}[/tex]

[tex]C(n+12) = nA\\nC + 12C = nA\\\frac{nC+12C}{n}=\frac{nA}{n} \\\frac{nC}{n}+\frac{12C}{n} = A \\\frac{12C}{n} =A-C\\\frac{n}{12C}=\frac{1}{A-C} \\n = \frac{12C}{A-C}[/tex]

(ii)

Since C = 6 mL and n = 8 we need to solve this equation of unknown A :

[tex]6 = \frac{8A}{8+12} \\6 = \frac{8A}{20}\\8A = 20*6\\A = \frac{5*4*2*3}{4*2}\\A = 15[/tex]

Thus, the equivalent adult dosage A would be 15 mL

(iii) I let you think about this one

Good Luck

Answer:

92568

Step-by-step explanation:

I think............

Answer:

Step-by-step explanation:

Given function:

a)

The maximum height is the vertex. The x-coordinate of the vertex is -b/2a:

It takes 2 seconds

b)

Maximum height is at vertex:

c)

The ball is in the air between zero's of the equation or approximately double the time it reaches the vertex:

The receiver doesn't have a chance to catch the ball, since the ball is only 4 seconds in the air.

Answer:

acute and scalene

Step-by-step explanation:

.

.

.

.

.

Answer:

Acute and Isosceles

Step-by-step explanation:

Acute= less than 90 degrees

Isosceles= two sides of equal length.

Answer:

Step-by-step explanation:

f(x)=3x + 4. (6) g(x) = x2 +. 1 x.

Answer:

30.25 * .45% + 30.25

Step-by-step explanation:

30.25*.45 = 13.61

30.25+13.61 = 43.86

Answer:

540 g m/s.

Step-by-step explanation:

Answer:

It should be 24

Step-by-step explanation:

Sorry if this is wrong

Step-by-step explanation:

Separate it into 2 figures.

the first figure would be 3 m tall and 8 m wide. The second figure would be 5 m tall and 4 m wide.

3 × 8 = 24

5 × 4 = 20

20 + 24 = 44

The area of the figure is 44 square meters.

Answer:

9 should be the greatest common factor. (I think) because 3b² =9b

12b⁴=48b

Answer:

3*(4b^4-b^2)

Step-by-step explanation:

you are looking for the greatest number who can be divided by the number(3) and the other number(12) , the greates common factor here is 3

and then take out the 3

so 3*(4b^4-b^2)

Answer:

200 cubic centimeter

Step-by-step explanation:

Answer:

201.1 cc

Step-by-step explanation:

r = d/2

v = πr^2 h

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

r = 4/2

r = 2

v = π * (2^2) * 16

v = 3.14159 * 4 * 16

v = 201.06176

Rounded

v = 201.1 cc

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

note:

if 3.14 is used for π

v = 200.96

which rounds to

v =201.0

[tex] \frac{3}{7} \\ \\ in \: \: alternate \: \: form \\ \\ 0.428571[/tex]

see the attachment for explanation

Answer:

7

Step-by-step explanation:

because you just take the quadratic number and divide it by x2 and you get 7!!!

Answer:

x = - 3 ± 2i[tex]\sqrt{2}[/tex]

Step-by-step explanation:

x² + 6x = - 17

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(3)x + 9 = - 17 + 9

(x + 3)² = - 8 ( take square root of both sides )

x + 3 = ± [tex]\sqrt{-8}[/tex] = ± 2i[tex]\sqrt{2}[/tex] ( subtract 3 from both sides )

x = - 3 ± 2i[tex]\sqrt{2}[/tex]

Answer:

4(7+6)

Step-by-step explanation:

first find GCF

prime factorize

28= 2*2*7 24=2*2*2*3

only common factor is 2

there are at least 2 2s in each

apply

4(7+6)

Answer:

$14.80

Step-by-step explanation:

You just have to 0.8 * 18.50 becuase the new price is 80% of the old price. That would result in 14.80.

Answer:

2/100 is the answer to the question

Answer:

B

Step-by-step explanation:

Answer:

it says 6 points not 12 points

Step-by-step explanation:

Answer:

Step-by-step explanation:

How much does Jalisa charge per candle?

Answer:

x≤5/3

So any number at 5/3 or above is a solution

Step-by-step explanation:

Subtract 4 on both sides:

5≤3x

Divide 3 on both sides

x≤5/3

So any number at 5/3 or above is a solution

Hope this helps!

Answer:

$25.56

Step-by-step explanation:

first find the discount

32 • 0.25 = 8

32 - 8= 24

find the tax

24 • 0.065 = 1.56

24 +1.56 = 25.56

so the final price is $ 25.56

Answer:

25.56

Step-by-step explanation:

25% of 32= 8

32-8= 24

6.5% of 24= 1.56

24+1.56= 25.56

I hope this helped! Also, the Semester Knowdowns are done in a week! Start trying to get higher scores!

Answer:

See attached graph.

Step-by-step explanation:

Answer:

no this would not be true because science doesnt always rely on reality as in some scientific books or films they dont fully base it on truth.

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

because y=9 and x=8

the the equation (6y-x) becomes

(6x9)-8 which will be equal to 46

when worked out on a calculator.

Answer:

x=2

Hope it's help

Brainliest plz

Answer:

x=2

Step-by-step explanation:

first collect the like term that is

6-2=7x-9x+4x

4=2x divide bothe sides by 2

X=2

Answer:

I think this diagram its 110° cause it's measure for ZJKL FOR (G6D)

I

Answer:

A -2

Step-by-step explanation:

the line meets up there and it would be rise divided by run and it would get you -2

Answer:

Step-by-step explanation:

You look at where the lines cross a point, which could be (-1,3) and (0,-2). By looking at the graph and using rise over run, your slope would be -5.

Answer:

a = -3.

Step-by-step explanation:

5^a = 1/125

5^3 = 125

so 5^-3 = 1/125

Answer:

a = -3

Step-by-step explanation:

5^a = 1/125

Rewriting 1/125 as 1/5^3 = 5^-3

5^a = 5^-3

a = -3

Answer:

if $15.98----> 2kg

$x --------> 7kg

cross multiply

$x= (15.98 x 7)/2

x = $55.93

Answer:

Step-by-step explanation:

38+105= 143, 39+104=143, and you will find then adding the numbers

Answer:

-44

Step-by-step explanation:

Answer: -44

Step-by-step explanation: same as 36 + 8 and make the answer negative.