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
Burka [1]
2 years ago
6

Mark is treating his family to ice cream. He buys 4 sundaes and 3 cones for a total of $26. Brian also buys ice cream for his fa

mily. His total is $29 for purchasing 2 cones and 5 sundaes.
Determine the system of equations that can be used to find the cost of one sundae, s, and the cost of one cone, c.

Mark ___ s + ___ c = ___

Brian ___ s + ___ c = ___

5, 3, 29, 7, 55, 2 ,4, 26
Mathematics
2 answers:
jekas [21]2 years ago
7 0
The cost of one sundae is s and cost of one cone is c.

Mark buys 4 sundae and 3 cones for a total of $26. Cost of 4 sundae will be 4s, cost of 3 cones will be 3c. So we can set up the equation for Mark as:

4s+3c=26

Brian buys 5 sundae and 2 cones for a total of $29. Cost of 5 sundae will be 5s, cost of 2 cones will be 2c. So we can set up the equation for Brian as:

5s+2c=29

Using these two equations, the cost of one sundae and one cone can be calculated. 
Anit [1.1K]2 years ago
4 0
The cost of one sundae is s and cost of one cone is c.-.
You might be interested in
Which expression is equivalent to (x^6y^8)^3\x^2y^2
Damm [24]

Answer:

\large\boxed{\dfrac{(x^6y^8)^3}{x^2y^2}=x^{16}y^{22}}

Step-by-step explanation:

\dfrac{(x^6y^8)^3}{x^2y^2}\qquad\text{use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\=\dfrac{(x^6)^3(y^8)^3}{x^2y^2}=\dfrac{x^{(6)(3)}y^{(8)(3)}}{x^2y^2}=\dfrac{x^{18}y^{24}}{x^2y^2}\qquad\text{use}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\=x^{18-2}y^{24-2}=x^{16}y^{22}

5 0
2 years ago
Read 2 more answers
The Polk Company reported that the average age of a car on U.S. roads in a recent year was 7.5 years. Suppose the distribution o
Svetlanka [38]

Answer:

The standard deviation of car age is 2.17 years.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7.5

(a) If 99.7% of the ages are between 1 year and 14 years, what is the standard deviation of car age?

This means that 1 is 3 standard deviations below the mean and 14 is 3 standard deviations above the mean.

So

14 = 7.5 + 3\sigma

I want to find \sigma

3\sigma = 6.5

\sigma = \frac{6.5}{3}

\sigma = 2.17

The standard deviation of car age is 2.17 years.

8 0
2 years ago
Read 2 more answers
To a survey of 290 newspaper reader, 181
astra-53 [7]

Question:

To a survey of 290 newspaper readers, 181 of them read the Daily Times, 142 Read the Guardian 117 read punch and each reads at least one of the three papers if 75 read the Daily Times, and the Guardian, 60 read the Daily Times and punch, and 54 read the Guardian and punch : Draw a Venn diagram to illustrate this information How many readers read All three papers ,Exactly two of the papers The Guardian alone?

Answer:

39 read all three news papers,72 Exactly two Papers & 52 reads  Guardian Alone

Step-by-step explanation:

We have given, A survey of 290 newspaper readers.

Who read the Daily times A=181  

Who read the Guardian times B=142  

Who read the punch C=117

Who read Daily Times and the Guardian A\cap B= 75

Who read Daily Times and the punch A\cap C=60

Who read Guardian and punch B\cap C=54

To find :

How many readers read All three papers, Exactly two of the papers The Guardian alone?

Solution :

Readers read all three papers is A\cap B\cap C

Total survey is given by,

Total = A+B + C- A\cap B- A\cap C - B\cap C+ A\cap B\cap C

290 = 181 + 142 + 117 - 75 -60 - 54 +A\cap B\cap C

290 =251+A\cap B\cap C

290-251=A\cap B\cap C

A\cap B\cap C=39

So, number of readers who read all three papers is 39.

Exactly two of the papers = 36 + 21 + 15 = 72

Guardian Alone = 52

7 0
2 years ago
In a relay race, each runner completes the circuit 9 seconds faster than the previous one. If the first athlete runs his lap in
Alona [7]

Answer:

31 minutes

Step-by-step explanation:

Here, we have 8 competitors with the previous runner outrunning the present by 9 seconds

1st runner time = 4 minutes 37 seconds

2nd runner time = 4 minutes 37 seconds - 9 seconds = 4 minutes 28 seconds

3rd runner time = 4 minutes 28 seconds - 9 seconds = 4 minutes 19 seconds

4th runner time = 4 minutes 19 seconds - 9 seconds = 4 minutes 10 seconds

5th runner time = 4 minutes 10 seconds - 9 seconds = 4 minutes 1 second

6th runner time s= 4 minutes 1 second - 9 seconds = 3 minutes 52 seconds

7th runner time = 3 minutes 52 seconds - 9 seconds = 3 minutes 43 seconds

8th runner time = 3 minutes 43 seconds - 9 seconds = 3 minutes 34 seconds

The total time is the addition of all the times

For clarity sake, we shall be adding all the minutes together and all the seconds together;

That will be ;

(4 * 6) + 3 minutes + ( 34 + 43 + 52 + 1 + 10 + 19 + 28 + 37)

= 27 minutes + 224 seconds

We need to convert 224 seconds to minutes

Since 60 seconds make one minute; we have

224 - 60(3) = 3 minutes and 44 seconds

Let’s add this to the minutes we had before

That would be;

27 minutes + 3 minutes + 44 seconds

= 30 minutes 44 seconds

since 44 seconds is greater than 1/2 minute (30 seconds), we can approximate it to 1 minute

So the total time is 30 minutes + 1 minute = 31 minutes

8 0
2 years ago
A population of beavers decreases exponentially at a rate of 7.5% per year. What is the equivalent monthly rate to the nearest h
Fiesta28 [93]

Answer:

0.63%


Step-by-step explanation:

If 7.5% decrease in 1 year (12 months), then the percentage decrease per month will be 7.5% divided by 12.

\frac{7.5}{12}=0.625 percent per month


Rounded to the nearest hundredth, 0.625% is equal to 0.63%


3 0
2 years ago
Read 2 more answers
Other questions:
  • A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t^2 640t.
    12·1 answer
  • A swimmer swam the 50-meter freestyle in a time of 21 seconds. What was his speed to the nearest tenth of a meter per second?
    15·1 answer
  • What is the Hinge Theorem used to show? A. that two triangles are similar B. the relative lengths of the corresponding sides in
    7·1 answer
  • Henry and Liani have 200 feet of wood to frame a flower bed. Henry wants the bed to be a square, while Liani wants it to be a re
    12·1 answer
  • The ph of a particular solution is given by pH=-log(x-2) where x represents the concentration of the hydrogen ions in the soluti
    10·2 answers
  • A batch contains 37 bacteria cells. Assume that 12 of the cells are not capable of cellular replication. Six cells are selected
    8·1 answer
  • A pair of socks costs $2.50 originally. The price is reduced to $1.75. What is the percent change?
    7·2 answers
  • An urn contains 3 red and 7 black balls. Players and withdraw balls from the urn consecutively until a red ball is selected. Fin
    12·1 answer
  • Here are the first five terms of a number sequenceS . 10 16 22 28 34 Find an expression, in terms of n , for the nth term of thi
    11·1 answer
  • Expand the expression: 1/3(12d + e)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!