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erastovalidia [21]
3 years ago
9

Your school is sponsoring a pancake dinner to raise money for a field trip. You estimate that 150 adults and 280 children will a

ttend. Let x represent the cost of an adult ticket and y represent the cost of a child ticket. If the goal is to raise $1310, which of the given equations may be used to represent this situation?
280x + 150y =1310

150x + 280y =1310

430x =1310

150x =1310 + 280y
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

Answer:

150x + 280y = 1310

Step-by-step explanation:

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The perimeter of parallelogram ABCD is 46 inches.What is DA?
Shkiper50 [21]

Answer:

3

Step-by-step explanation:

4 0
3 years ago
Simplify -5-√-44<br><br> i have no idea
Tatiana [17]

Answer:

Undefined

Step-by-step explanation:

The square root of a negative number does not exist in the set of real numbers so it would be Undefined

6 0
2 years ago
2500 + 20%=what's the answer
zysi [14]

Answer:

  as written: 2500.2

  as intended: 3000

Step-by-step explanation:

20% = 0.2, so adding 0.2 to 2500 gives 2500.2

_____

We suspect you want to add 20% of 2500 to 2500. That is ...

  2500 + 20%×2500

  = 2500 + 0.20×2500

  = 2500 + 500

  = 3000

_____

<em>Comment on percentages</em>

A percentage is a pure number. It is a ratio of like quantities, so has no units.* A <em>useful</em> percentage always has a base. That is, it is a percentage <em>of something</em>. Sometimes that base may be unclear or unstated, in which case the percentage might very well be considered to be meaningless.

In any event, a percentage is simply a (unitless) fraction. The "%" symbol means the same thing as "/100", so 20% means 20/100 = 2/10 = 1/5.

The very clear math expression 2500 +20% means simply 2500 + 1/5, which is the mixed number 2500 1/5 or the decimal value 2500.2. Usually, when we want to add a percentage to some value, we want the percentage to be <em>of the original value</em>. When that is written as a math expression, it must show this:

  2500 + 20% of 2500

  2500 + 20%×2500

  2500(1 +20%)

_____

* The concentration or potency of some medicines or other mixtures may be expressed as a percentage that is the ratio of one unit to a different unit, typically weight per volume. That is, a "0.1%" preparation may be 0.1 grams per 100 mL, for example. You have to read the label to determine whether this is the case. Mathematically, this is not a percentage, but is a non-standard use of the "%" symbol to indicate a ratio to 100 of something.

4 0
2 years ago
544ml^2 is how many liters<br><br>show your work
ivolga24 [154]

Answer:

295.936

Step-by-step explanation:

First find out what 544^2 is.  That is 295,936.  There are 100 ml in 1 liter.  So divide 295,936 by 100 to see how many liters are in 295,936 ml.  

295,936÷100=295.936

7 0
2 years ago
The U.S. Department of Transportation provides the number of miles that residents of the75 largest metropolitan areas travel per
Leya [2.2K]

Answer:

a. The point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residentstravel per day is 88

b. The 95% confidence interval for the difference between the two population means is (0.58171,7.21829)

Step-by-step explanation:

a. According to the given data we have the following:

Buffalo residents mean=22.5

Standard deviation=8.4

n=50

Boston residents mean=18.6

Standard deviation=7.4

n=40

Hence, the point estimate is the difference of the means=22.5-18.6=3.9

The standard error=√((s1∧2/n1)+((s2∧2/n2))=√((8.4∧2/50)+(7.4∧2/40))=1.67

Therefore, the difference of miles=n1+n2-2=50+40-2=88

The point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residentstravel per day is 88.

b. The critical value of t at 95% confidence level and DoF=88 is 1.987

The interval:(x1-x2)+ (critical value* std error)

=3.9-(1.987*1.67),3.9+(1.987*1.67)

Difference between mean=(0.58171,7.21829)

The 95% confidence interval for the difference between the two population means is (0.58171,7.21829)

8 0
2 years ago
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