Alex has 48 stickers. This is 6 times the 4. Number of stickers Max has. How many stickers does Max have?

Answers

Answer 1
Answer:

Assuming you mean:


Alex has 48 stickers. This is 6 times number of stickers Max has. How many stickers does Max have?


48 divided by 6 gives you 8.



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What was the percent of decrease in the number of pumpkins sold

Answers

% decrease = change/original price x 100%
= (1200 - 900)/1200 x 100%
= 300/1200 x 100%
= 25%

Therefore, the number of pumpkins sold decreased by 25%.

A washer and a dryer cost $814 combined. the washer costs $36 less than the dryer. what is the cost of the dryer?

Answers

This is a systems of equation problem. 
First, set up the equation. 
814=w+d      w=d-36

Second, insert w= in for w in the equation.
814=d-36+d

Third, combine like terms.
814=2d-36

Fourth, solve the equation by adding 36 and dividing by 2 to both sides.
 814=2d-36
+36       +36
___________
850=2d
-----    ----
  2      2

__________
425=d

So the dryer (d) costs $425.

A recipe for sparkling grape juice 1 1/2 quarts of sparkling water and 3/4 of grape juice. How much sparkling water woild you need to mix with 9 quarts of grape juice. How much grape juice would you need to mix with 15/4 quarts of sparkling water?

Answers

According to the recipe the ratio of sparkling water to grape juice = 1 1/2 : 3/4.

Let us convert 1 1/2 into improper fraction and that is 3/2.

Now, 3/2: 3/4 or 3/2 ÷ 3/4 = 3/2 × 4/3 = 2/1 or 2:1.

Therefore, sparkling water quantity is two times of the quantity of grape juice.

Now, we need to find the number of quarts of sparkling water need to mix in 9 quarts of grape juice.


Since, sparkling water quantity is two times of the quantity of grape juice.

Therefore, we need 2 × 9 = 18 quarts of sparkling water to mix in 9 quarts of grape juice.


And now we need to find the number of quarts of grape juice would we need to mix with 15/4 quarts of sparkling water.

Therefore, we need 1/2 × 15/4 = 15/8 quarts of grape juice to mix with 15/4 quarts of sparkling water.



Answer:

a)x = 18\,qt, b)y = 1\,(7)/(8)\,qt

Step-by-step explanation:

a) The amount of sparkling water needed is determined by simple rule of three:

x = (9\,qt)/((3)/(4)\,qt)* (3)/(2)\,qt

x = 12* (3)/(2)\,qt

x = 18\,qt

b) The amount of grape juice needed is found by simple rule of three:

y = ((15)/(4)\,qt)/((3)/(2)\,qt ) * (3)/(4)\,qt

y = (30)/(12)* (3)/(4)\,qt

y = (90)/(48)\,qt

y = (15)/(8)\,qt

y = 1\,(7)/(8)\,qt

Why would a money market account require a minimum balance?

Answers

Money market requires a minimum balance because the money is treated as part of your investment wherein it yields higher interest income that the basic saving account. The minimum balance is the one that is use by the bank for loans and lending it to borrowers.

What is the equation in slope-intercept form of the line that passes through the points ( -4 , 2) and (12, 6)?Group of answer choices

y = 0.25x − 4.5

y = 4x − 42

y = 4x + 18

y = 0.25x + 3

Answers

Answer:

y = 0.25x + 3

Step-by-step explanation:

solve for slope:

(6-2)/(12+4) = 1/4

solve for b:

6 = 12(1/4) + b

6 = 3 + b

b = 3

equation can also be y = 1/4x + 3

Step-by-step explanation:

let the equation be y = mx + b.

m = (6 - 2)/(12 - (-4)) = 1/4

sub (12, 6):

6 = 1/4(12) + b

b = 3

therefore, equation of the line is y = 1/4x + 3, aka option 4

Topic: coordinate geometry

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A population of endangered birds decreases by 3% each year.a. If the current population is 30,000 birds, write an equation that represents the number of birds, N, in terms of the number of years, T, from the present.

b. Approximately what will the bird population be after twenty years? Round your answer to the nearest thousand.

Answers

Since the number of bird decreases 3% per year then for year 1 there will be 29 100 birds left. This value is 97% of 30000. From this the number of birds for year 1 is N = 30000(1-0.03)

A. N = 30,000(1-0.03)^(2)

B. To solve this we use the equation we established in letter A. We get the answer by substituting T with 20. N = 16,000. 

Answer: a) The required equation is,

N=30000(0.97)^T

b) The approximately population of the birds after 20 years is 16314.

Step-by-step explanation:

a) Since, the initial population, P = 30,000

The rate of increasing, r = 3% per year,

Hence, the population of birds after T years,

N=P(1-(r)/(100))^T

\implies N = 30000(1-(3)/(100))^T

\implies N = 30000(1-0.03)^T

\implies N=30000(0.97)^T

Which is the required equation.

b) Now, for T = 20 years,

The population of birds,

N(20)=30000(0.97)^(20)=30000* 0.543794342927=16313.8302878\approx 16314

The approximately population of the birds after 20 years is 54183.