Eve and her mom are volunteering at an emergency relief center. To help prepare in case of a flood, they pack emergency kits with food and water. Eve puts 5 water bottles into each kit they pack. In all, she packs 125 water bottles.
Which equation can you use to find the number of emergency kits k Eve packs?

Answer:

14<14*1.5

Step-by-step explanation:

This is because 14*1.5 is 21. 21 is greater than 14. I hope this helped you out!!

Using the Bisector Theorem, the length of DE is 4y + 13 if we bisect (Line Over DE) at point R, DR = 2y + 9, and RE = 3y – 1.

Since l bisects DE at point R, we can use the segment bisector theorem, which states that the ratio of the lengths of the two segments is equal to the ratio of the lengths of the two other segments:

DR/RE = DE/ER

Substituting DR = 2y + 9 and RE = 3y - 1, we get:

(2y + 9)/(3y - 1) = DE/ER

Since R is the midpoint of DE, we have ER = DR = 2y + 9. Substituting this into the equation above, we get:

(2y + 9)/(3y - 1) = DE/(2y + 9)

Cross-multiplying, we get:

DE = (2y + 9)²/(3y - 1)

Expanding the numerator, we get:

DE = (4y² + 36y + 81)/(3y - 1)

Simplifying the expression, we get:

DE = 4y + 13

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Answer:

See below

Step-by-step explanation:

Using the Pythagorean theorem, we can find the length of the unknown side CA.

AC^2 = AB^2 + BC^2

AC^2 = 9^2 + 17^2

AC^2 = 290

AC = √290

Therefore, the length of side CA is approximately 17 cm (rounded to whole).

The quantity of items you must sell to break even are = 17 items.

To rent a table = $100

The cost of each item = $4

You sold each item at prize = $10

Therefore the gain for each item = 10 - 4

= $6

Therefore, the quantity of items to sell to recover the cost from renting of the table is =

\( \frac{100}{6} \)

= 16.6 items

which is approximately = 17 items.

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Answer:

Perpendicular.

Step-by-step explanation:

To determine whether the two lines are parallel, perpendicular, or neither, we need to compare their slopes.

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. So we can rewrite the given equations in this form

y = 2/3x - 4 ==> slope = 2/3

y = -3/2x - 7 ==> slope = -3/2

Two lines are parallel if and only if their slopes are equal. Therefore, since the slopes of the two lines are different (2/3 and -3/2), they cannot be parallel.

Two lines are perpendicular if and only if their slopes are negative reciprocals of each other. That is, if the product of their slopes is -1. Therefore, we can check if the product of the slopes of the two lines is -1

(2/3) * (-3/2) = -1

Since the product of the slopes is -1, the two lines are perpendicular.

Therefore, the answer is: perpendicular.

The error in the given equation is that the substitution cot(x) for cot(-x) is incorrect, and the correct substitution is cot(-x) = -cot(x). By making this correction, we get the valid equation -cot(x) = cot(x) + cot(x) = 2 cot(x) tan(x).

The given equation is + cot(-x) = cot(x) + cot(x) = 2 cot(x) tan(x). The error in this equation is that it is incorrect to substitute cot(x) for cot(-x). The correct substitution is cot(-x) = -cot(x), which means the left-hand side of the equation should be written as -cot(x). Therefore, the corrected equation is -cot(x) = cot(x) + cot(x) = 2 cot(x) tan(x).

There is no error in the substitution of cot(x) + cot(x) by 2 cot(x) because it is a valid simplification. Also, there is no error in substituting cot(-x) by -cot(x) as it is a valid trigonometric identity.

The error in the given equation is that the substitution cot(x) for cot(-x) is incorrect, and the correct substitution is cot(-x) = -cot(x). By making this correction, we get the valid equation -cot(x) = cot(x) + cot(x) = 2 cot(x) tan(x).

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The answer to the given question is Yes, we can. We can conclude that there are two distinct subsets of the 14 3-digit numbers in the list which have the same sum.

There are \(2^{14}\) = 16384 subsets. Since each number goes in the range from 0 through 999 and there are at most 14 3-digit numbers in a subset, the sum of any subset of the numbers will be in the range from 0 through 14 x 1000.

So, there are at most 14001 possible values for the sum of a subset of the 3-digit numbers. Since 16384 > 14001, if each subset is plotted to the value of its sum, then there need to be at least two different subsets which are plotted on to the same value.

For that reason, there are at least two different subsets whose numbers sum to the same value.

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Answer:

The third one ie 8/9 . 9/8 =1 show that they are in reciprocal

Answer: −4t power of 5 + 6t power of 3

Step-by-step explanation:

12t power of 6 − 8t power of 8 over 2t power of 3

=

−8t power of 8 + 12t power of 6 over 2t power of 3

=

−8t power of 5 + 12t power of 3 over 2

The probability of Halston choosing two pieces of fruit that are not bananas is 69 %

First, find the total number of fruit :

=   3 + 4 + 2

= 9 fruit

The probability of picking a fruit that is not a banana the first time is :

= ( 3 + 4 ) / 9

= 7 / 9

The probability of picking a fruit that is not a banana the second time is :

= ( 3 + 4 - 1 ) / 9

= 6 / 9

The probability that two fruits are picked that aren't bananas is:

= 7 / 9 x 6 / 9

= 69 %

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Answer:

False

Step-by-step explanation:

Given

A = \(\frac{1}{2}\) bh ( multiply both sides by 2 to clear the fraction )

2A = bh ( divide both sides by b )

\(\frac{2A}{b}\) = h

Michelle walks her dogs a total of 19.6 miles each week.

To find the total miles Michelle walks her dogs each week, we need to multiply the daily distance by the number of days in a week.

Michelle walks her dogs 2(4)/(5) miles every day. To convert this mixed number into a fraction, we can rewrite it as:

2(4)/(5) = (2 * 5 + 4)/(5) = 14/(5)

Now, to find the total distance walked in a week, we multiply the daily distance by the number of days in a week. Let's assume there are 7 days in a week:

Total distance = (14/(5)) * 7

To multiply fractions, we multiply the numerators together and the denominators together:

Total distance = (14 * 7)/(5 * 1)

Calculating the numerator and denominator separately:

Numerator: 14 * 7 = 98

Denominator: 5 * 1 = 5

Therefore, the total distance Michelle walks her dogs each week is:

Total distance = 98/5 = 19.6 miles

So, Michelle walks her dogs a total of 19.6 miles each week.

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Answer:

\(\angle ABC=20^{\circ}\)

Step-by-step explanation:

Since each side of a line is 180 degrees, we can write the following system of equations:

\(\begin{cases}2x+12y+x+2y=180,\\x+2y+8y-4x=180\end{cases},\\\begin{cases}3x+14y=180,\\-3x+10y=180\end{cases}\)

Add both equations to solve for \(y\):

\(24y=360,\\y=\frac{360}{24}=15\)

Now substitute \(y=15\) into \(3x+14y=180\) to solve for \(x\):

\(3x+14(15)=180,\\3x=-30,\\x=-10\)

Finish by substituting both variables to solve for \(\angle ABC\):

\(\angle ABC=x+2y,\\\angle ABC=-10+2(15),\\\angle ABC=-10+30=\boxed{20^{\circ}}\)

The definite integral equal to limn→[infinity]∑k=1n10kn(1+5kn−−−−−−√)(5n) is ∫50101+x−−−−−√ⅆx.

What is integral ?

An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data.

to find the definite integral from a given interval that is equal to the limit of a summation as n approaches infinity. The limit of the summation is expressed as the product of 10, the summation of a term k that ranges from 1 to n, and a fraction involving the square root of 1 plus 5k times n.

To determine the definite integral that is equal to this limit, we need to identify the integrand, the interval of integration, and the constant factor of 10. By comparing the integrand, interval, and constant factor to the different definite integrals listed in the answer choices,  identify the correct answer.

The definite integral equal to limn→[infinity]∑k=1n10kn(1+5kn−−−−−−√)(5n) is ∫50101+x−−−−−√ⅆx.

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Answer:

x = 3

Step-by-step explanation:

AB is the line segment and is 20 cm

Since M is the midpoint, AM = MB = 20/2 = 10

3x + 1 = 10

==> 3x = 10- 1 = 9

==> x = 9/3 = 3

Answer:

AB=20 then AM =10

now,

\(3x + 1 = 10 \\ 3x = 10 - 1 \\ 3x = 9 \\ x = 3 \)

Answer:

m = 15.2

Step-by-step explanation:

Answer:

2.5 x 15.2 = 38 + 24 = 62

Step-by-step explanation:

The answer is 15.2.

Probability sampling procedure is the way researcher adhere closely to precise selection procedures to ensure that the results are projectable to the population under study.

What is Probability Sampling ?

Using this methodology based on probability theory, probability sampling is the strategy in which the research fellows selects samples from the larger population. A participant must be chosen at random if they are to be used as a probability as a sample.

As in this question researcher must follow Probability sampling, a participant must be chosen at random if they are used as a probability as the sample.

So, the required answer will be Probability sampling, as it helps researcher to precise selection procedures.

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The fraction of the whole circle denoting the sector is 23/72.

What is fraction?

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

The whole circle has an angle of = 360°.

The measure of the sector of the angle is =  115°.

The fractional value of the sector is -

Measure of Sector angle / Measure of whole circle angle

Substitute the value into the expression -

115/360

23/72

Therefore, the fraction is 23/72.

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Answer:

Step-by-step explanation:

Answer:m=10

Step-by-step explanation:some number (m) divided by 5 plus 9 = 11

10 divided by 5 = 2

2+9 = 11

Answer:

hi !!

Step-by-step explanation:

you have to do an Euclidean division :

4689/15 = 312

the quotient is 312 so there will be 312 jelly beans per bags . The rest is 9 so there are 9 jelly beans left

Answer:

Step-by-step explanation:

y= money earned , x is the number of hours

k is the constant=y/x=12

b- if she worked 18 hours:

y=12(18)

c- if she earned 330 dollars:

330=12x

x=330/12

1a)The values of l range from 0 to (n-1), so for n = 3, l can have the values 0, 1, and 2.

b) The values of m can be -2, -1, 0, +1, and +2

c) There are a total of 9 orbitals

The qualities and traits of quantum systems, like the electrons in atoms, are described by a set of numbers known as quantum numbers. They offer knowledge on the system's energy, angular momentum, orientation, and spin, among other characteristics.

Using the formula, number of electrons = \(n^2\)

Number of electrons =\(3^2 = 9\)

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Answer:

Parallelograms are shapes with 2 pairs of parallel sides, like a square or a rhombus. Parallel means lines on a shape that never touches.

Step-by-step explanation:

Hope this helps!

P.S, brainliest? Thanks!

Answer:

47% or47/100

Step-by-step explanation:

Answer:

Point Form: (- 1/4, 5/4)

Equation Form: x = - 1/4, y  = 5/4

Step-by-step explanation:

Answer:

-79/12 - x/2

Step-by-step explanation:

Simplify ⏬

The number of which 3.92 is 56 percent, is 7.

A percentage of an object is how many parts of it there are out of 100 equal parts. For example, if you split a shape into 100 parts, 20 of the parts make 20%.

Given that, 3.92 is what number's 56%,

Let the number be x,

Therefore, by the definition of percentage,

56% of x = 3.92

56/100 × x = 3.92

x = 3.92 × 100/56

x = 392/56

x = 7

Hence, the number of which 3.92 is 56 percent, is 7.

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