answer.
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
Gre4nikov [31]
1 year ago
6

Bill takes a vitamin B pill every 3 days and a vitamin C pill every 4 days. If he takes both pills on day 1, for how many of the

next 65 days will Bill take both pills on the same day?
Mathematics
1 answer:
e-lub [12.9K]1 year ago
8 0

Answer:

6

Step-by-step explanation:

We are given that

Bill takes a vitamin B pills every 3 days and vitamin C pill every 4 days.

We have to find how many of the next 65 days Bill will take both pills on the same day.

To find the number of days on which Bill take both pills on the same day we will find the lcm of 3 and 4.

Lcm (3,4)=3\times 4=12

Multiples of 12 lie between 1 and 65 are

12,24,36,48,60

Number of days on which Bill take both pills on the same day=5

If he takes both pills on day 1

Therefore, total number of days on which Bill take both pills on the same day=5+1=6

Hence, otal number of days on which Bill take both pills on the same day=6

You might be interested in
Abel is making brownies for a bake sale. The recipe shows the amount of each ingredient needed to make 9 brownies. Complete each
mixas84 [53]

Answer:

In order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.

Step-by-step explanation:

As the recipe is missing in this question, the recipe is found online which given following information

  • Abel needs 5 cups of flour to make brownies.
  • If Abel uses 4 cups of sugar.
  • he will need to use 2 cups of cocoa powder.
  • The recipe will make brownies if Abel uses only 1 egg.

Abel has to make 45 brownies for the sale, this is also missing in this question, however is given in the reference question linked here.

This recipe is to make 9 brownies. Now for 45 brownies the multiplier is found as 45/9=5. So by multiplying quantity of all the ingredients by 5, Abel will be able to make 45 brownies.

Now  in order to make 45 brownies

  • Abel needs 5*5 =25 cups of flour to make brownies.
  • If Abel uses 5*4=20 cups of sugar.
  • he will need to use 5*2=10 cups of cocoa powder.
  • The recipe will make brownies if Abel uses only 5*1=5 egg.

So in order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.

5 0
2 years ago
For each system of equations, drag the true statement about its solution set to the box under the system?
natta225 [31]

Answer:

y = 4x + 2

y = 2(2x - 1)

Zero solutions.

4x + 2 can never be equal to 4x - 2

y = 3x - 4

y = 2x + 2

One solution

3x - 4 = 2x + 2 has one solution

Step-by-step explanation:

* Lets explain how to solve the problem

- The system of equation has zero number of solution if the coefficients

 of x and y are the same and the numerical terms are different

- The system of equation has infinity many solutions if the

   coefficients of x and y are the same and the numerical terms

   are the same

- The system of equation has one solution if at least one of the

  coefficient of x and y are different

* Lets solve the problem

∵ y = 4x + 2 ⇒ (1)

∵ y = 2(2x - 1) ⇒ (2)

- Lets simplify equation (2) by multiplying the bracket by 2

∴ y = 4x - 2

- The two equations have same coefficient of y and x and different

  numerical terms

∴ They have zero equation

y = 4x + 2

y = 2(2x - 1)

Zero solutions.

4x + 2 can never be equal to 4x - 2

∵ y = 3x - 4 ⇒ (1)

∵ y = 2x + 2 ⇒ (2)

- The coefficients of x and y are different, then there is one solution

- Equate equations (1) and (2)

∴ 3x - 4 = 2x + 2

- Subtract 2x from both sides

∴ x - 4 = 2

- Add 4 to both sides

∴ x = 6

- Substitute the value of x in equation (1) or (2) to find y

∴ y = 2(6) + 2

∴ y = 12 + 2 = 14

∴ y = 14

∴ The solution is (6 , 14)

y = 3x - 4

y = 2x + 2

One solution

3x - 4 = 2x + 2 has one solution

3 0
1 year ago
Marissa has twice as much money as Frank. Christina has $20 more than Marissa. If Christina has $100, how much money does Frank
qwelly [4]

Answer:

a. Take a grid that shows represents the amount of money Frank has,

Say F,

( shown below ),

b. Since, Marissa has twice as much money as Frank,

So, the amount Marissa has = 2F

If M represents the amount Marissa has,

M = 2F

c. Now, Christina has $20 more than Marissa,

Add 20 to the grid M

d.  The below diagram provides enough information to determine the value of the variable m

e. The amount Christina has = M + 20 = 2F + 20

According to the question,

2F + 20 = 100

2F = 80

F = 40

Hence, the amount frank has = $ 40,

Amount Marissa has = 2(40) = $ 80,

3 0
1 year ago
Find the measure of b. A. 80 B. 70 C. 40 D. 20
BlackZzzverrR [31]

Answer:

40°

Step-by-step explanation:

e = 20°

d = 20°

c = 140°

b = 40°

8 0
2 years ago
HIJK is a parallelogram because the midpoint of both diagonals is ____ which means the diagonals bisect each other.
just olya [345]
ANSWER

The midpoint of both diagonals is

(1,0)
EXPLANATION

We can use either diagonals to determine the midpoint.

We use the midpoint formula

( \frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} )

Let us use the first diagonals H(-2,2) and J(4,-2)

( \frac{ - 2 + 4}{2} , \frac{ - 2+ 2}{2} )

( \frac{ 2}{2} , \frac{ 0}{2} )

( 1, 0)

Using the second diagonals also gives,

( \frac{ - 2 + 4}{2} , \frac{ - 3+ 3}{2} )

( \frac{ 2}{2} , \frac{ 0}{2} )

( 1, 0)
4 0
1 year ago
Read 2 more answers
Other questions:
  • zacharias is using the quadratic formula to solve the equation 0 = –2x2 5x – 3. he begins by substituting as shown. quadratic fo
    7·2 answers
  • Give an equation which describes the intersection of this sphere with the plane z=0z=0.
    7·1 answer
  • Which of the following prime factorizations represents the greatest common factor of 162, 378, and 414?
    9·2 answers
  • If we let the domain be all animals, and S(x) = "x is a spider", I(x) = " x is an insect", D(x) = "x is a dragonfly", L(x) = "x
    11·1 answer
  • Eight trials are simulated. The results are shown in the table. Simulation 109 105 112 110 115 106 108 109 What is the estimated
    11·1 answer
  • In the equation below, b and c represent the price per pound, in dollars, of beef and chicken, respectively, x weeks after july
    13·1 answer
  • A coordinate plane with a straight line with a positive slope. The line starts at (0, 0) and passes through points labeled A at
    11·2 answers
  • The axis of symmetry for a quadratic equation can be found using the formula x equals StartFraction negative b Over 2 a EndFract
    6·2 answers
  • Ben uses a compass and straightedge to bisect segment PQ, as shown: segment PQ with compass open to greater than half of segment
    8·1 answer
  • Solve the equation -10 (g - 6) = -65
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!