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
STatiana [176]
3 years ago
8

In Siri's coin purse, she has 6 dimes and 4 quarters. Martha has 5 dimes and 3 quarters. Siri thinks that the ratio of dimes to

quarters in both purses is the same because they each have 2 more quarters than dimes. Is the same ratio of dimes to quarters maintained? Justify your response.
Mathematics
1 answer:
Andreyy893 years ago
4 0

Answer:

The ratios are not equal.

Step-by-step explanation:

To justify the answer we will assume the dimes and quarters.

Let number of dimes be denoted by 'x'.

Let number of quarters denoted by 'y'.

In Siri's coin purse

Number of dimes (x) = 6

Number of quarters (y) = 4

Therefore ratio of quarter to dimes we get;

\frac{x}{y}=\frac{6}{4} ⇒ equation 1.

In Martha Coin purse.

Number of dimes (x) = 5

Number of quarters (y) = 3

Therefore ratio of quarter to dimes we get;

\frac{x}{y}=\frac{5}{3} ⇒ equation 2.

Now we will check if both have the same ratios.

We will check by making both equation 1 and equation 2 equal.

\frac{6}{4}=\frac{5}{3}

By cross multiplication we get;

18\neq 20

Hence the ratios are not equal.

You might be interested in
What is the length of leg s of the triangle below ?
Mandarinka [93]

Answer:

4

Step-by-step explanation:

In a 45-45-90 triangle, the length of the hypotenuse is √2 times the legs.

s√2 = 4√2

s = 4

Each leg is 4 units long.

3 0
2 years ago
Read 2 more answers
Water weighs 62.4 pounds per cubic foot. How much does the water in a tank that measures 7 ft × 4 ft × 9 in, weigh?
andriy [413]

Answer:

  • <u>1,310 lb</u>

Explanation:

<u>1) Calculate the volume of the water in the tank.</u>

  • Area of the base of the tank: B = 7 ft × 4 ft = 28 ft²
  • Height of the tank: H = 9 in = 9 in × 1 ft / 12 in = 0.75 ft
  • Volume of the tank: V = area of the base × height = B × H = 28 ft² × 0.75 ft = 21 ft³.

<u>2) Calculate the weight of 21 ft³ of water.</u>

Since this is not a chemistry question but a math question, I will not use the fomula of density but set a proportion with one unknown:

  • 62.4 lb / 1 ft³ = x / 21 ft³

Solve for x:

  • x = 21 ft³ × 64 lb / ft³ = 1,310.4 lb.

So, rounding to the next integer, the water in the tank weighs 1,310 pounds, when it is full.

6 0
3 years ago
Read 2 more answers
Which situation could be represented by an exponential function select each correct answer
ANTONII [103]

Answer:

The first and third options are the examples of exponential functions.

Step-by-step explanation:

When a quantity is compounded after a certain interval of time at a certain rate, then we can assume that the situation can be represented by an exponential function.

In the first option:  An event organizer finds each year's attendance for the past five years is about \frac{4}{5} of previous year's attendance.

So, here the total attendance is compounding every year by a factor \frac{4}{5} of previous year's attendance.

Again, in the third case: The total population is increasing by about 7.5% each year.

Hence, the population is compounded every year by 7.5% of the previous year's population.

Therefore, the first and third options are examples of exponential functions. (Answer)

3 0
2 years ago
3.) 2x + 4 = -3x - 2; x = 1<br><br>Determine if the value of x is a solution to the equation​
guajiro [1.7K]

Answer:

x = 1 is not a solution to the equation

Step-by-step explanation:

2x + 4 = -3x - 2            x = 1

2(1) + 4 = -3(1) - 2

2 + 4 = -3 - 2

6 = -5 FALSE

5 0
3 years ago
What is Janelle’s position relative to sea level while swimming? What should the altimeter read at this position?
kondor19780726 [428]

Answer: Janelle is 1/2 below sea level, the altimeter should read -1/2 feet

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • What two numbers multiply gives you -28 and add to get 3
    15·1 answer
  • Find the remainder of the division of
    14·2 answers
  • A store wants to sell a blanket for X dollars. From the market research they know that the price of this blanket must be at most
    15·1 answer
  • If a flexible air-filled container has a volume of 40 cu ft on the surface, what would the volume be at 99 feet in sea water
    13·1 answer
  • WILL MARK BRAINLIEST!!!<br><br> Solve for the listed Angles of the circle. Question in the picture
    7·1 answer
  • Nov 19 F
    11·1 answer
  • 20$ - 5$ = 15$ 15$/2.50 = 6 in graph form
    5·1 answer
  • You have two different bottles of lotion. One weighs
    10·2 answers
  • For the current reaction, 2NO2 ↔ N2O4, we have:
    14·1 answer
  • Express on a number line all possible values of x.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!