A rectangle has a perimeter of 82. If the width of the rectangle is one less than twice the length , find the width of the rectangle .

a. 12
b. 14
c. 23
d. 27
​

If each bag of chips costs $1 less than a granola bar, and jack buys 2 more items than jane buys, Jack buys 15 bags of chips

Let's assume that Jack buys x bags of chips and Jane buys y granola bars. We know that they each spend $24 on snacks, so we can set up the following equation:

x*(price of one bag of chips) + y*(price of one granola bar) = $24

We also know that each bag of chips costs $1 less than a granola bar, so we can write:

(price of one bag of chips) = (price of one granola bar) - $1

Substituting this into the first equation, we get:

x*((price of one granola bar) - $1) + y*(price of one granola bar) = $24

Expanding and simplifying, we get:

x*(price of one granola bar) + y*(price of one granola bar) - x = $24

We also know that Jack buys 2 more items than Jane, so we can write:

x = y + 2

Substituting this into the previous equation, we get:

(y + 2)(price of one granola bar) + y(price of one granola bar) - (y + 2) = $24

Simplifying, we get:

2*(price of one granola bar) + y = $26

We can now solve for y:

(price of one granola bar) = ($26 - y)/2

Substituting this back into the equation for x, we get:

x = y + 2

x = (26 - y)/2 + 2

Simplifying, we get:

x = (28 - y)/2

We know that x and y must be whole numbers, so we can test different values of y until we find one that makes x a whole number. Starting with y = 2, we get:

(price of one granola bar) = ($26 - 2)/2 = $12

2*(price of one granola bar) + y = $26

2*($12) + 2 = $26

Therefore, Jack buys 15 bags of chips (x = (28 - y)/2 = (28 - 2)/2 = 15) and Jane buys 13 granola bars (y = 2).

In summary, Jack and Jane each spend $24 on snacks. Jack buys bags of chips and Jane buys granola bars. Each bag of chips costs $1 less than a granola bar, and Jack buys 2 more items than Jane buys. We can solve for the number of bags of chips Jack buys by setting up and solving equations based on these facts. We find that Jack buys 15 bags of chips.

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It is important to carefully consider the given information and the specific equation being used in order to determine the appropriate method for solving for a specific side of a shape.
Without knowing the specific equation mentioned in the question, it is difficult to determine whether Andre or Mai's approach is correct. However, in general, the equation used to solve for a specific side of a shape depends on the information given about the other sides and angles of the shape.

If the equation involves the known values of angles and/or sides that are not the one being solved for, then either Andre or Mai's approach may be valid, depending on which side or angle is known.

However, if the equation only involves the unknown side and no other information about the shape is given, then neither approach would be correct. In such a case, additional information or equations would be needed to solve for the unknown side.

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The value of k in the relative frequency table is given as follows:

k = 11%.

From the relative frequency table given at the end of the answer, we must look at the second column.

The value on the third row is equals to the sum of the values on the first two rows, hence the expression is given as follows:

42 + k = 53.

Hence the percentage equivalent to the value of k is obtained solving the equation as follows:

k = 53 - 42

k = 11%.

The table is given by the image presented at the end of the answer.

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Answer:

Supplementary to x is a 90° angle (right angle) which means that both x and the right angle will have to equal 180 degrees:

90 + x = 180

-90        -90

x = 90°

Let's find the angle measure that is supplementary to y.

A 5 sided shape is equal to 540 degrees (you could find this by using the formula: (n - 2) x 180 where n is the number of sides)

so given interior angles:

90 + 80 + 98(supplementary to angle 82 degrees) + 136 + 136(two equal angle measures in the polygon that are missing)

= 540(which is correct), so now we know the two missing angles, 136, besides the angle supplementary to 82 degrees.

136 is supplementary to y so:

136 + y = 180

-136       -136

y = 44°

Answer:

A) a>1

Step-by-step explanation:

2(a +8) >18

2a +16 >18

2a>18 - 16

2a>2

a>2:2

a>1

The measurement for SH-C0524-B 250 that is out of range is given as follows:

A. V.

From the table given by the third image at the end of the answer, the measurements of SH-C0524-B 250 are given by:

The ranges for each variable, from the second image, are given as follows:

Hence measurement V is out of range, as the range of acceptable values is between 0.95 and 1.05, and option A is correct.

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Answer:

C. Decreasing

Step-by-step explanation:

Check the picture below.

Answer:

13) \(x = 10\)

14) \(x = 22\)

15) \(x = 12\)

16) \(x = -15\)

Step-by-step explanation:

13) \(4x+5x=9x;90/9=10\)

14) \(45-1=44;44/2=22\)

15) \(37-1=36;36/3=12\)

16) \(-54+26=-28;x-28=3x+2;x=-15\)

Answer: use the radious

Step-by-step explanation:

Juan deposited a total of $780 in currency and $2340 in checks at the ATM. This is a total deposit of:$780 + $2340 = $3120So Juan deposited a total of $3120 at the ATM, including $780 in currency and $2340 in checks.

Juan made a deposit of $830, and he received $50 in cash. He did not deposit any coins. To calculate how much Juan deposited in currency and checks, we can first find the total amount of money he deposited in the ATM.

The amount of currency deposited can be calculated by subtracting the amount of cash received from the total deposits: $830 - $50 = $780Juan deposited $780 in currency at the ATM.

We also know that Juan deposited checks worth three times the value of the currency he deposited. This means the total value of the checks deposited is:3 x $780 = $2340.

Therefore, Juan deposited a total of $780 in currency and $2340 in checks at the ATM. This is a total deposit of:$780 + $2340 = $3120So Juan deposited a total of $3120 at the ATM, including $780 in currency and $2340 in checks.

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Answer:

x=4

Step-by-step explanation:

Consecutive sides in a trapezoid are supplementry, which means they add up to 180. So, your equation is 14x-15+139=180

14x+124=180 (first make the numbers as clean as you can on both sides)

14x=56 (move all of the numbers to one side, so subtract 124 from both sides)

x=4  (simplify to get your answer, so divide by 14)

(hope this helps :P)

Answer:

The answer is D 1/8th

Step-by-step explanation:

The theoretical propability is 50% of the time, he only flipped heads 3/8 of the time. Comparing the two fractions we get this-

3/8 = 0.375

1/2 = 0.5

Add 1/8th and we have a 50 percent chance!

Enjoy!

the subjects for 10 years to see which group develops more cancer this is a Prospective study

Individuals are monitored in real-time for prospective studies, as information is gathered about them as their traits or situations evolve. Prospective studies include things like birth cohort studies.

In retrospective research, people are sampled, as details regarding their history are gathered. This could be done by asking people to recollect significant occurrences during interviews or by finding pertinent administrative data to fill in the blanks on former events and conditions.

A study sample is split into two groups in a randomized experiment: one will get the intervention under research, while the other won't.

A matched experiment is a type of research setup in which subjects are paired up according to traits they have in common before being divided into categories.

A survey involves asking a sample of people a specified set of questions.

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The predicted height on Abby's second birthday is 33 inches

From the question, we are to determine Abby's predicted height on her second birthday

From the given information,

Abby's father could predict her height (in inches) by taking her age in months, adding 75 inches and multiplying the result by one-third

On her second birthday,

Abby is 2 × 12 months = 24 months old

Thus, her height on her second birthday is

(24 + 75) × 1/3

= 99 × 1/3

= 33 inches

Hence, the predicted height on Abby's second birthday is 33 inches

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Answer:

− 4 n − 5

Step-by-step explanation:

Simplify the expression.

Answer:

so the answer should be g if not im sorry

Step-by-step explanation:

Answer:

Brainliest!!! :)    XD  =D

Step-by-step explanation:

m<Q = 93                    m<R = 87

the screenshot shows the answers

Answer:

Step-by-step explanation:

Rotations About The Origin

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.

Answer:

Step-by-step explanation:

9/I0 x 2/2 =9/I0

Or 0.9 in decimals

Answer:

The answer is IN the question... (9/10)

Step-by-step explanation:

Ok well you multiply the numberator and denominator by 2 which makes 18/20 but OH THAT CAN BE SIMPLIFIED SO DIE FRACTION! so then you divide both sides by 2 and you get the original 9/10

plz brainliest :)

Answer:

DIC

Step-by-step explanation:

Not the same type of triangle

Answer:

Inequality: 64+C\(\geq 120\\\\\)

               - 64.       -64

We subtract to isolate variable

Solution: \(C\geq 56\)

The value of the probability P(Not N) is 7/8

The given parameters are:

Sections = 8

N section = 1

The sections that are not N is calculated using:

Not N = Sections - N

This gives

Not N = 8 - 1 = 7

The probability is then calculated using:

P(Not N) = Not N/Sections

This gives

P(Not N) = 7/8

Hence, the value of the probability P(Not N) is 7/8

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The number of ways to deal 5 cards from a set of 18 cards is 8568. The probability of getting 2 spades and 3 hearts when dealing 5 cards is approximately 22.49%. The probability of dealing more spades than hearts when dealing 5 cards is approximately 72.75%.

(a) The total number of ways to deal 5 cards from a set of 18 cards is given by the combination formula. We can choose 5 cards out of the 18 available cards in C(18, 5) ways. Therefore, there are C(18, 5) = 8568 ways to deal 5 cards from the given set.

(b) To calculate the probability of getting 2 spades and 3 hearts when dealing 5 cards, we need to consider the favorable outcomes (the number of ways to choose 2 spades and 3 hearts) and the total number of possible outcomes (the total number of ways to choose any 5 cards).

The number of ways to choose 2 spades out of 11 is C(11, 2) = 55, and the number of ways to choose 3 hearts out of 7 is C(7, 3) = 35. Since the events of choosing spades and hearts are independent, the total number of favorable outcomes is given by the product of these combinations: C(11, 2) * C(7, 3) = 55 * 35 = 1925.

The total number of possible outcomes is C(18, 5) = 8568, as calculated in part (a).

Therefore, the probability of getting 2 spades and 3 hearts when dealing 5 cards is P(2 spades and 3 hearts) = favorable outcomes / total outcomes = 1925 / 8568 ≈ 0.2249, or approximately 22.49%.

(c) To calculate the probability of dealing more spades than hearts, we need to consider the favorable outcomes where the number of spades dealt is greater than the number of hearts. This can be done by summing the probabilities of getting 3 spades and 2 hearts, 4 spades and 1 heart, and 5 spades and 0 hearts.

The number of ways to choose 3 spades out of 11 is C(11, 3) = 165, and the number of ways to choose 2 hearts out of 7 is C(7, 2) = 21. Therefore, the favorable outcomes for 3 spades and 2 hearts are given by C(11, 3) * C(7, 2) = 165 * 21 = 3465.

Similarly, the favorable outcomes for 4 spades and 1 heart are C(11, 4) * C(7, 1) = 330 * 7 = 2310, and for 5 spades and 0 hearts, it is C(11, 5) * C(7, 0) = 462.

The total number of favorable outcomes is the sum of these three cases: 3465 + 2310 + 462 = 6237.

Therefore, the probability of dealing more spades than hearts when dealing 5 cards is P(more spades than hearts) = favorable outcomes / total outcomes = 6237 / 8568 ≈ 0.7275, or approximately 72.75%.

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Answer:

21 red grapes

Step-by-step explanation:

B:G

8:6

28:x

28/8=3.5

therefore 6*3.5 = x

Answer:

The answer is 21

Step-by-step explanation:

If you do 28/8 you get 3.5. So he used 3 1/2 blueberries. Then you have to times 6 by 3.5 to get 21. Put it back into ratio form and you get 28:21

Hope this helps!

6. C. Given

7. C. L is the midpoint of EM

8. .D . Definition of midpoint

9. B . < FLE= <ALM

10. C .ASA Postulate

Answer:

40 comic books

Step-by-step explanation:

36-16=20

20×2=40

The standardized residuals indicate that none of the observed frequencies significantly differ from the expected frequencies, leading to the conclusion that the null hypothesis cannot be rejected.

When conducting statistical analyses, one common approach is to compare observed frequencies with expected frequencies. Standardized residuals are calculated to assess the degree of deviation between observed and expected frequencies. If the standardized residuals are close to zero, it indicates that the observed frequencies align closely with the expected frequencies.

In the given statement, it is mentioned that based on the standardized residuals, none of the observed frequencies are significantly different from the expected frequencies. This implies that the differences between the observed and expected frequencies are not large enough to be considered statistically significant.

In statistical hypothesis testing, the significance level (often denoted as alpha) is set to determine the threshold for statistical significance. If the calculated p-value (a measure of the strength of evidence against the null hypothesis) is greater than the significance level, typically 0.05, we fail to reject the null hypothesis. In this case, since the standardized residuals do not indicate significant differences, it is safe to conclude that none of the observed frequencies are significantly different from the expected frequencies.

Overall, this suggests that the data does not provide evidence to reject the null hypothesis, and there is no substantial deviation between the observed and expected frequencies.

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A=68,B=44

the interior angle of triangle is 180

A+B+C=180

x+x-24+68=180

2x+44=180

2x=180-44

2x=136

x=68

A=x=68

B=68-24=44