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Simora [160]
2 years ago
11

On a field trip, there are 12 adults and 14 students. What is the ratio of the number of adults to the total number of people on

the field trip?
A. 6 to 13
B. 12 to 14
C. 26 to 12
Mathematics
1 answer:
Viktor [21]2 years ago
5 0
The correct answer to your question is C.) 26:12
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The tables represent two linear functions in a system.<br><br> What is the solution to this system?
Darya [45]

The solution to this system is (x, y) = (8, -22).

The y-values get closer together by 2 units for each 2-unit increase in x. The difference at x=2 is 6, so we expect the difference in y-values to be zero when we increase x by 6 (from 2 to 8).

You can extend each table after the same pattern.

In table 1, x-values increase by 2 and y-values decrease by 8.

In table 2, x-values increase by 2 and y-values decrease by 6.

The attachment shows the tables extended to x=10. We note that the y-values are the same (-22) for x=8 (as we predicted above). That means the solution is ...

... (x, y) = (8, -22)

8 0
2 years ago
Read 2 more answers
Darcie wants to crochet a minimum of 3 blankets. Darcie crochets at a rate of 1/15 of a blanket a day. She has 60 days until she
NNADVOKAT [17]

Answer:

The inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal can be given as:

s\leq 15

Step-by-step explanation:

The complete question is:

Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.

Solution:

Given:

Darcie wants to crochet a minimum of 3 blankets to donate.

Rate at which she crochet = \frac{1}{15} of a blanket per day.

Maximum number of days she has = 60.

To find the number of days Dancie can skip out of 60 days and still reach her goal.

Let s represent the number of days she can skip.

Number of days left to crochet = (60-s) days

At rate of  \frac{1}{15} of a blanket per day, number of blankets Dancie can corchet in (60-s) days can be given as :

⇒ \frac{1}{15}(60-s)

Simplifying using distribution.

⇒ (\frac{1}{15}.60)-(\frac{1}{15}.s)

⇒ 4-\frac{s}{15}

Dancie needs to crochet a minimum of 3 blankets to reach her goal.

Thus, the inequality can be given as:

4-\frac{s}{15}\geq 3

Solving the inequality for s

Subtracting 4 both sides.

4-4-\frac{s}{15}\geq 3-4

-\frac{s}{15}\geq -1

Multiplying both sides by -15.

-15(-\frac{s}{15})\leq -15(-1) [On multiplying by a negative number the sign of inequality reverse]

∴ s\leq 15

Thus, Dancie can skip a maximum of 15 days.

5 0
2 years ago
The subsets of the real numbers can be represented in a Venn diagram as shown. To which subset of real numbers does −2π belong?
Alecsey [184]

Answer:

D

Step-by-step explanation:

Whole numbers are the basic counting numbers: 0,\ 1,\ 2,\ 3,\ 4, \....

Integers are whole numbers and negative numbers: ...,\ -2,\ -1,\ 0,\ 1,\ 2,\ ...

Rational numbers are all fractions \frac{m}{n}, where m is an integer and n is a natural number.

Irrational numbers are all real numbers that are not rational.

Number \pi is irrational number (it is not counting number, so it is not whole number, not integer number), it cannot be represented as a fraction, so it is not rational number, thus this number is irrational number.

The product of integer number -2 by irrational number \pi is irrational number -2\pi

Correct option - option D

7 0
1 year ago
Read 2 more answers
Altitude above sea level is given in positive values and below sea level is given in negative values. Which situation describes
grin007 [14]
A because if he started at negative ten you would add the 10 he increased. When you add those two together you get 0.

-10+10=0
6 0
2 years ago
Read 2 more answers
Object A travels in the +x-direction before hitting a stationary object B. Afterwards, object AÍs x-momentum is 5.7 _ 104 kilogr
ANEK [815]
Below are the choices that can be found from other sources:

A. 42 
<span>B. 45 </span>
<span>C. 47 </span>
<span>D. 48 </span>
<span>E. 49
</span>
The answer is C or 47. The object’s resultant angle of motion with the +x-axis after the collision is  47. The reason for that is f<span>rom object A’s x-momentum is 5.7 × 104 kilogram meters/second and its y-momentum is 6.2 × 104 kilogram meters/second, we know that tan of the angle from the x-axis is 6.2 / 5.7 = 1.09 and acrtan 1.09 = 47.4</span>
8 0
2 years ago
Read 2 more answers
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