MATHEMATICS COLLEGE

Alexis purchased a combination of daisies and tulips for her friend's birthday party. Both types of flowers cost $4 per bundle, and she spent $76. Alexis purchased 12 bundles of tulips. How many bundles of daisies did she buy?

Answers

Answer 1

Answer:

Answer:

7 daisies

Step-by-step explanation:

76 ÷ 4 =19

19 - 12 = 7

7 daisies

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Grayson bought snacks for his teams practice. He bought a bag of popcorn for $3.50 and a five pack of juice bottles. The total cost before tax was $11.05. Right and solve an equation which can be used to determine J, how much each bottle of juice cost.

Answers

The each bottle of juice cost $ 7.55 before tax .

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Grayson bought bag of popcorn (P)= $3.50

Five pack of juice bottles.

The total cost before tax was $11.05.

According to given question we have

Let the cost of the juice bottles be x.

P+ x= $11.05.

$3.50+x=$11.05

x=$11.05-$3.50

x=$ 7.55

Therefore, the each bottle of juice cost $ 7.55 before tax .

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Final answer:

The question is about finding the cost of each bottle of juice. The cost of the juices was found by subtracting the cost of popcorn from the total amount. Each bottle of juice cost $1.51.

Explanation:

To solve this problem, we need to first determine how much was spent on the juice. We know that Grayson spent $11.05 in total and that the popcorn cost $3.50. By subtracting the cost of the popcorn from the total spent, we will find out how much Grayson spent on the juice.

Step 1: Subtract the cost of the popcorn from the total amount spent: $11.05 - $3.50 = $7.55. This is how much was spent on the juice bottles.

Step 2: We know that there are five juice bottles in the pack. To find out the cost of each juice bottle (J), we divide the total cost of the juice by the number of bottles in the pack: $7.55 / 5 = $1.51.

So, the equation which determines J, the cost of each juice bottle, is $3.50 + 5J = $11.05. Solving this equation gives J = $1.51.

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Match the pairs in the picture

Answers

Answer: Y=-3tan3x is $\pi /3$

Y=6sin3x is $2\pi /3$

Y=2cos2x/3 is $3\pi$

Y=-2/3secx/5 is $10\pi$

Step-by-step explanation:

What is the quotient of 1 over (1 plus the square root of 3)?

Answers

You can rationalize the denominator by multiplying by 1 in the form of the conjugate of the denominator divided by itself.

$(1)/(1+√(3))=(1)/(1+√(3))\cdot (1-√(3))/(1-√(3))\n\n=(1-√(3))/(1^(2)-(√(3))^(2))=(1-√(3))/(1-3)\n\n=(√(3)-1)/(2)$

This eqvaluates to approximately 0.3660254037844386.

Select all points that are on the line through 0,5and 2,8.

4,11
5,10
6,14
30,50
40,60

Answers

Answer:

Options (1), (3), and (4)

Step-by-step explanation:

Since, slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $(y_2-y_1)/(x_2-x_1)$

Therefore, slope of a line passing through (0, 5) and (2, 8) will be,

m = $(8-5)/(2-0)$ = 1.5

Equation of line passing through (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of a line passing through (0, 5) and slope = 1.5,

y - 5 = 1.5(x - 0)

y = 1.5x + 5

Since, all the points which lie on this line will satisfy this equation.

For (4, 11),

11 = 1.5(4) + 5

11 = 11

Point (4, 11) lies on this line.

Point (5, 10)

10 = 1.5(5) + 5

10 = 7.5 + 5

10 = 12.5

But 10 ≠ 12.5

Therefore, (5, 10) doesn't line on the line.

Point (6, 14)

14 = 1.5(6) + 5

14 = 14

True.

Therefore, (6, 14) lies on the line.

Point (30, 50)

50 = 1.5(30) + 5

50 = 50

True.

Therefore, (30, 50) lies on the line.

Point (40, 60)

60 = 1.5(40) + 5

60 = 65

But 60 ≠ 65

Therefore, (40, 60) doesn't lie on the line.

Options (1), (3) and (4) and the correct options.

Answer:

1, 3 and 4. I had the same question on my assignment :)

Step-by-step explanation:

Given below are the analysis of variance results from a Minitab display. Assume that you want to use a 0.05 significance level in testing the null hypothesis that the different samples come from populations with the same mean. Identify the P-value.

Answers

Answer:

hello your question has some missing parts below is the missing part

Identify the p-value.

Source DF SS MS F p

Factor 3 13.500 4.500 5.17 0.011

Error 16 13.925 0.870

Total 19 27.425

A) 0.011 B) 4.500 C) 5.17 D) 0.870

answer : p-value = 0.011 ( A )

Step-by-step explanation:

using this information

Source DF SS MS F P

Factor 3 13.500 4.500 5.17 0.011

Error 16 13.925 0.870

Total 19 27.425

significance level = 0.05

given that the significance level = 0.05

and

F statistics are given as : F = 5.17 , F critical = 3.25

hence the p-value = 0.011

from the analysis the p-value is less than the significance level is lower than the significance level

Final answer:

The p-value in a Minitab analysis of variance (ANOVA) test helps determine whether to reject or accept the null hypothesis that the samples all come from populations with the same mean. You would reject the null hypothesis if your p-value is less than the significance level (α = 0.05). Please refer back to your Minitab results to find this p-value.

Explanation:

In the context of your Minitab analysis of variance (ANOVA) results, the p-value that you should be looking at to determine the null hypothesis is not explicitly mentioned in your question. However, based on your description, you want to test the hypothesis that the different samples come from populations with the same mean (null hypothesis).

The p-value represents the probability that you would obtain your observed data (or data more extreme) if the null hypothesis were true. Therefore, if the p-value is less than the significance level (α = 0.05), you would reject the null hypothesis, suggesting that the samples do not all come from populations with the same mean. Conversely, if the p-value is larger than 0.05, you would fail to reject the null hypothesis, suggesting that the samples could come from populations with the same mean.

Please refer back to your Minitab results to find this p-value. Usually, it's labeled in the ANOVA table output as 'P' or 'Prob > F'.

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Kenwood High School sold t-shirts for a school fundraiser. The principal rounded the number of shirts sold to 3,000. Which number might be the exact number of t-shirts Kenwood sold?