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Eva8 [605]
3 years ago
9

While at a picnic, 42 adults drank iced tea, 24 adults drank bottled water, and 36 adults drank lemonade. What's the ratio, as a

simplified fraction, of the number of adults who drank iced tea to the number of adults who drank either water or lemonade? A. 6⁄11 B. 4⁄13 C. 7⁄17 D. 7⁄10
Mathematics
2 answers:
alexira [117]3 years ago
3 0

42 drank iced tea

60 drank either water or lemonade

So the ratio would be 42:60 or 7/10 as a fraction.

So D is the correct answer

Andreyy893 years ago
3 0

Answer:

D. \frac{7}{10}

Step-by-step explanation:

Given,

Number of adults who drank iced tea = 42,

Bottled water = 24,

And, Lemonde = 36,

Thus, the total number of adults who drank either water or lemonade = 24 + 36 = 60

Hence, the ratio of adults who drank drank iced tea and who drank either water or lemonade

=\frac{\text{Adults who drank iced tea}}{\text{Adults who drank either water or lemonade}}

=\frac{42}{60}

Since, the HCF(42,60) = 6,

=\frac{42\div 6}{60\div 6}

=\frac{7}{10}

Option 'D' is correct.

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Given that pentagon, ABCDE pentagon FGHIJ find the measure of <1
Art [367]

Answer:

d

Step-by-step explanation:


8 0
3 years ago
. The total area of a rectangular mural has been extended by x feet. The expression to represent the area is 5.5(7.5 + x). Rewri
alexandr1967 [171]

Answer and Step-by-step explanation: <u>Distributive</u> <u>Property</u> describes how to solve expressions like a(b +c). According to the property, multiplying the sum of two or more numbers by a number will result in the same as multiplying each number and then add the products. For example:

                 11(2 + 4)

11(6) = 66                 22 + 44 = 66

So, for the expression that represents the area:

5.5(7.5 + x) = 41.25 + 5.5x

As the expression has non-numerical terms, the distributive property will be multiply each term and then add the products.

The expressio for area of a rectangular mural is 41.25 + 5.5x.

7 0
3 years ago
F(x)=25x^2-10x+1 what is the the value of the discriminant of f ​
Elanso [62]

Answer:

0

Step-by-step explanation:

Quadratic equation

x=\frac{-b+-\sqrt{b^{2}-4*a*c} }{2*a}

The discriminant is the part of the quadratic formula within the square root symbol: {b^{2}-4*a*c}.  The discriminant indicates if there are two solutions, one solution, or none.

The discriminant can be positive, zero or negative which determines how roots exist for the given quadratic equation.

So, a positive discriminant tell us that the quadratic has two different real solutions.

A discriminant of zero tell us that the quadratic has two real and equal solutions.

And a negative discriminant tell us that none of the solutions are real numbers.

In this case: 25x^2-10x+1=0

We can see that

a= 25    b=-10   c=1

Using:  {b^{2}-4*a*c}

We have  -10^{2}-4* 25*1 =100-100=0

the answer is zero, so the quadratic has two real and equal solutions

7 0
3 years ago
There are 9,481 eligible voters in a precinct. 500 were selected at random and asked to indicate whether they planned to vote fo
maria [59]

Answer:

The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent.

This means that n = 500, \pi = \frac{350}{500} = 0.75

80% confidence level

So \alpha = 0.2, z is the value of Z that has a pvalue of 1 - \frac{0.2}{2} = 0.9, so Z = 1.28.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.725

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.775

The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.

8 0
3 years ago
3×-18=42 Solve for x!
Keith_Richards [23]
3x - 18 = 42
3x = 42 + 18
3x = 60
x = 60/3
x = 20
7 0
3 years ago
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