1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
7nadin3 [17]
2 years ago
10

The ratio of math teachers to choir teachers is 3:2 respectively. There are 12 math teachers. How many math and choir teachers a

re there all together?
Mathematics
2 answers:
marysya [2.9K]2 years ago
8 0

Answer:

30

Step-by-step explanation:

3 + 2 = 5 \\  \frac{2}{5}  \times x = 12 \\   \\  \frac{2x}{5}   = 12 \\ cross \: mutiply \\ 2x = 60 \\ divde \:both \: sides \: by \: 2 \\ x = 30

IrinaK [193]2 years ago
8 0

Answer:

30

Step-by-step explanation:

You might be interested in
Kevin is an employee at Good Deal Electronics. The electricity is not working one day after a thunderstorm, but Kevin still has
dimulka [17.4K]

Answer:

56

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The recursive formula for a geometric sequence is: a = 4 an=an-1×3 What is the 3rd term of this sequence?​
timama [110]

Answer:

36

Step-by-step explanation:

a1 = 4

an=an-1 *3

a2 = a1 *3 = 4*3 = 12

a3 = a2*3 = 12*3 = 36

5 0
3 years ago
. A retailer sold 10 packs of pens in 3 days. There were 48 pens in each pack. He sold twice as many pens on Sunday than on Mond
Marizza181 [45]

Answer:

The number of pens sold on Monday is 107 pens

Step-by-step explanation:

total pack of pen sold by the retailer in 3 days =  10 packs

total number of pens in the 10 packs = 48 x 10 = 480 pens

let the number of pens sold on Monday = x

let the number of pens sold on Sunday = y

let the number of pens sold on Tuesday = z

He sold twice as many pens on Sunday than on Monday

y = 2x ------equation (1)

He sold 55 pens fewer on Tuesday than on Sunday

y = z + 55 ------equation (2)

total number of pens sold in the three days

y + z + x = 480  ------equation (3)

from equation (1) make x the subject of the formula

x = y/2

from equation (2) make z the subject of the formula

z = y - 55

substitute the value of x, and z into equation (3)

y + y/2 + y - 55 = 480

2y + y/2 = 480 + 55

5y/2 = 535

5y = 535 x 2

5y = 1070

y = 1070 / 5

y = 214

The number of pens sold on Monday is:

x = y / 2

x = 214 / 2

x = 107 pens

Thus, the number of pens sold on Monday is 107 pens

5 0
3 years ago
A geologist visits 40 volcanoes in Alaska and California.15% of volcanoes are in California.how many volcanoes does the geologis
ziro4ka [17]

Answer:

The answer is 34

4 0
3 years ago
Identify whether the equation represents an exponential growth or exponential decay function.1. y = 1/4 (1/e)^-2x2. y = (1/e)^4x
zvonat [6]

The general formula for exponential growth and decays is:

y=y_0e^{kx}

if k>0 then then it is an exponential growth function. If k<0 then the function represents an exponential decay.

Now we need to classify each of the functions:

1.

The function

y=\frac{1}{4}(\frac{1}{e})^{-2x}

can be wrtten as:

\begin{gathered} y=\frac{1}{4}(e^{-1})^{-2x}^{} \\ =\frac{1}{4}e^{2x} \end{gathered}

comparing with the general formula we notice that k=2, therefore this is an exponential growth.

2.

The function

y=(\frac{1}{e})^{4x}

can be written as:

\begin{gathered} y=(\frac{1}{e})^{4x} \\ y=(e^{-1})^{4x} \\ y=e^{-4x} \end{gathered}

comparing with the general formula we notice that k=-4, therefore this is an exponential decay.

3.

The function

y=2e^{-x}+1

comparing with the general formula we notice that k=-1, therefore this is an exponential decay.

5 0
1 year ago
Other questions:
  • Round 425 to the nearest ten and to nearest hundred
    5·1 answer
  • Find each product. Leave answer in descending order of power.<br> a) 3x(x-4)<br> b) -2x^2(x+3)
    10·1 answer
  • Molly read 75 pages in 45 minutes what's her unit rate
    15·2 answers
  • On an ant hill there are 33,438 on the inside and 27,493 ants on the outside.how many more ants are on the inside than outside?
    14·1 answer
  • Find the next two numbers in the pattern. -800,400,-200,100,K
    10·2 answers
  • Why is it useful to write 6.52 as 6.520
    7·2 answers
  • What does the solution to this system mean in context of this problem ?
    14·1 answer
  • How to identify the independent and dependent variable?
    5·1 answer
  • a cafe offers senior citizens a 15% discount off its regular rice of 8.95 for the dinner buffet. what percent of the regular pri
    12·1 answer
  • Please solve this problem
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!