A small coffee shop sells bags of two types
of coffee. Bag A contains 24 ounces and
costs $15.60. Bag B contains 30 ounces
and costs $20.40. Which statement is true?


A. Bag A costs 3¢ less per ounce than Bag B.

B. Bag A costs 3¢ more per ounce than Bag B.

C. Bag A costs 2¢ less per ounce than Bag B.

D. Bag A costs 2¢ more per ounce than Bag B.

Answer:

You would be correct!

Step-by-step explanation:

10 × 4 = 40 40 + 15 = 55 therefore D is the answer great job!

Answer:

#1 Eighty-nine and 23 thousandths. #2 B.

Step-by-step explanation:

9 is more than 8. ‍♀️

Answer:

36.5

Step-by-step explanation:

First solve for x

Factor:

3x-3-5x+15 = 3

Combine Like Terms:

-2x+12=3

-2x = -9

x = 4.5

PLug it in:

7(4.5)-5

31.5-5

36.5

[tex]{\boxed{\mathcal{\red{Step-by-step\:explanation:-}}}}[/tex]

[tex]3(x - 1) - 5(x - 3) = 3 \\ ⇝3x - 3 - 5x + 15 = 3 \\ ⇝ - 2x + 12 = 3 \\ ⇝ - 2x = 3 - 12 \\ ⇝x = \frac{ - 9}{ - 2} \\ x = 4.5[/tex]

To verify:

[tex]3(4.5 - 1) - 5(4.5 - 3) = 3 \\ ✒ \: 13.5 - 3 - 22.5 + 15 = 3 \\ ✒ \: 28.5 - 25.5 = 3\\✒\: 3 = 3[/tex]

✒ L. H. S. = R. H. S.

[tex]\sf\pink{Hence\:verified.}[/tex] ✔

Now,

7 [tex]x[/tex] - 5 = 7 x 4.5 - 5

= 31.5 - 5

= 26.5

[tex]\sf\purple{Therefore,\:the\:value\:of\:''7\:x-\:5''\:is\:26.5.}[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

50%

Step-by-step explanation:

Recall : When given a normal or Symmetric distribution, the mean of the distribution is at the centre with 0.5 or 50% of the distribution to either side (right and left) of the distribution.

Hence, if the mean = 21 ; then the percentage of student body with atleast 21 years is the percentage to the left of the distribution, which is 50%.

Therefore, P(x ≤ 21) = 0.5 = 50%

The best i could find out is 450p

Answer:

The best estimate of the population mean for heart rate among football players is of 71.4 beats per minute.

Step-by-step explanation:

The best estimate for the population mean is the sample mean.

Sample mean:

Sum of all values in the sample divided by 10(size of the sample). So

[tex]\overline{x} = \frac{62+74+74+64+76+64+80+76+68+76}{10} = 71.4[/tex]

The best estimate of the population mean for heart rate among football players is of 71.4 beats per minute.

Answer: 71.4

Just a confrimation to the below anwser.

Answer:

Kindly check explanation

Step-by-step explanation:

An appropriate research design which may be employed is to perform a random assignment of the 150 students into two groups whereby a certain group is made to perform the jumping exercise and the other group sitting still for 5 minutes, after this concentration level is measured in both groups in other to evaluate if there are differences in concentration levels between the two groups.

Given the hypothesis :

H0: There is no difference in the mean improvement of long-term concentration for either treatment.

Ha: The mean improvement of long-term concentration is greater for the jumping jacks treatment.

A type 1 error occurs when a true null is rejected ; this means that we conclude that The mean improvement of long-term concentration is greater for the jumping jacks treatment when this is actually not true. Hence, students will be allowed to do jumping jack in class but there won't be any improvement.

A type 11 error occurs when we fail to reject a false null hypothesis ; Hence, we conclude that There is no difference in the mean improvement of long-term concentration for either treatment when the jumping Jacks treatment actually does improve concentration level. Hence, the school will fail to allow students do jumping jack in class.

In my opinion, type 11 error is more serious in this scenario because, the school would have failed to identify and ignored a treatment which makes it's students attain a better level of concentration.

Answer:

9

Step-by-step explanation:

Highest number is 19 lowest is 10. 19-10 is 9.

Answer:

The roots are: 1, -7 and -7

Step-by-step explanation:

When we put x = -1 in F(x) it is equal to 0

Thus, (x + 1) is factor of given function.

When we divide F(x) by (x + 1) it gives the value (x² - 6x - 7)

Now, factorizing x² - 6x - 7 by middle term splitting.

x² - 6x - 7 = x² - 7x + x - 7

⇒ x(x - 7) + 1(x - 7)

⇒ (x + 1) (x - 7)

Thus, x³ - 5x² - 13x - 7 = (x + 1)(x + 1)(x - 7)

Thus, Roots of the given polynomial function is x = -1, -1, 7

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

X=1

Step-by-step explanation:

I just did the math and boom but i think you should use this app https://www.tiger-algebra.com

Answer:

3 weeks

Step-by-step explanation:

Two puppies from the same litter are named Bruno Puppy Weight and Jasper. Their weights during the first  weeks are plotted on the coordinate grid. At which age did Bruno and Jasper weigh the same?

Solution:

We can see that Bruno and Jasper weight is represented by a straight line. Let y represent the weight of the puppies in ounce and x represent the age in weeks.

For Bruno:

The line passes through (1, 10) and (5, 16), hence the equation of the line is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{16-10}{5-1} (x-1)\\\\y-10=\frac{3}{2}(x-1)\\\\y=1.5x+8.5\ \ \ (1)[/tex]

For Jasper:

The line passes through (0, 12) and (3, 13), hence the equation of the line is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-12=\frac{13-12}{3-0} (x-0)\\\\y-12=\frac{1}{3}(x)\\\\y=\frac{1}{3} x+12\ \ \ (2)[/tex]

To find the age at which both puppies weighed the same, we have to solve equation 1 and 2 simultaneously. Subtract equation 1 from 2:

-1.167x + 3.5 = 0

1.167x = 3.5

x = 3

Put x = 3 in equation (2)

y = (1/3)(3) + 12 = 13

The solution is (3, 13)

Therefore both Jasper and Bruno weigh the same weight of 13 ounce at 3 weeks of age

Answer:

The question seems incomplete.

Step-by-step explanation:

Answer:

3.75 x 10^7

a = 3.745 (rounded) or 3.7464 (exact)

b = 7

Step-by-step explanation:

Assuming you meant "a person takes 8.4 x 10^6 breaths

per year" we would multiply the number of people 4.46 x 10° by the number of breaths each person takes 8.4 x 10^6 and we get 37464000 and in scientific notation it would be 3.75 x 10^7

Answer:

[tex]66.42\%[/tex]

Step-by-step explanation:

Hi there! We can establish the following inequality with the given weights provided in your question:

[tex]85.29\cdot 0.4+81.5\cdot 0.4 +\text{Final Exam Grade}\cdot0.2 \geq 80[/tex]

Solving, we get:

[tex]66.716+\text{Final Grade}\cdot 0.2\geq 80,\\\text{Final Exam Grade}\cdot 0.2\geq13.284,\\\text{Final Exam Grade}\geq\boxed{66.42\%}[/tex]

Thus, to maintain a final semester grade of 80% or higher, you must achieve a minimum of [tex]66.42\%[/tex] on your final exam!

Answer:

mexico

Step-by-step explanation:

Answer:

The answer is 24

Step-by-step explanation:

Answer:

B. 1,1,2,3,5,8,13,21

Step-by-step explanation:

I calculated it logically

Answer:

A.   x < -1

Step-by-step explanation:

Open circle at -1 with line to the left

A.   x < -1

Answer:

16 - (4 x 3) + 7

Step-by-step explanation:

16 - (4 x 3) + 7

16 - 12 + 7

4 + 7

11

Answer:

2 + 3x(N-1) = Amount of money donated

Step-by-step explanation:

Since Aaron participates in a walkathon for charity, and he has a sponsor who has pledged a base donation of $ 2 for the first mile he walks and then a certain dollar amount for each additional mile he walks, and based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $ 23 to the charity, to determine a formula that can be used to determine the amount of money this sponsor donates when Aaron walks N miles the following equation should be raised:

2 = fixed amount in the first mile

2 + ((23 - 2) / (8-1)) x (N-1) = Amount of money donated

2 + (21/7) x N = Amount of money donated

2 + 3x (N-1) = Amount of money donated

Thus, if N is 8, as in the example, the quantity is determined as follows:

2 + 3x (8-1) = X

2 + 3x7 = X

2 + 21 = X

23 = X

Answer:

see first of all it is a quadratic polynomial so it will have 2 zero alpha and beta

now , we will find value of a , b, c

so,

a= 3

b= 5

c= -2

now, sum of the zeros ( alpha + beta) =-b/a

so,-5/3

now product of zeros (alpha *beta) = c/a

so, it will we -2/3

hope you get it !

Answer: 290

Step-by-step explanation: Because a circle area is 360 and if you subtract 70 from 360 you will get 290

And 290 + 70 = 360

Answer:

b

Step-by-step explanation:

Answer:

13.  4 sqrt(3)

14.  sqrt(7)/2

Step-by-step explanation:

13.  sqrt(2) * sqrt(3) * sqrt(8)

We know sqrt(a) * sqrt(b) = sqrt(ab)

sqrt(48)

Look for perfect squares

sqrt(16*3)

sqrt(16) sqrt(3)

4 sqrt(3)

14.  sqrt(14)/ 2 sqrt(2)

We know sqrt(a) / sqrt(b) = sqrt(a/b)

sqrt(14/2) / 2

sqrt(7)/2

Hence, the Answer is

13.  4 sqrt(3)

14.  sqrt(7)/2

Solution:

13.  sqrt(2) * sqrt(3) * sqrt(8)

We know sqrt(a) * sqrt(b) = sqrt(ab)

sqrt(48)

Look for perfect squares

sqrt(16*3)

sqrt(16) sqrt(3)

4 sqrt(3)

14.  sqrt(14)/ 2 sqrt(2)

We know sqrt(a) / sqrt(b) = sqrt(a/b)

sqrt(14/2) / 2

sqrt(7)/2

Answer:

100,000

Step-by-step explanation:

So, when they say how many times larger 3x10^6 is than 3x10^1, they need you to divide 3x10^6 by 3x10^1.

When doing division and multiplcation with exponents, you subtract and add.

So, we have [tex]\frac{3*10^6}{3*10^1}[/tex]

The 3, that doesnt have a exponent on top or bottom, cancels out:

So now we have [tex]\frac{10^6}{10^1}[/tex]

Finally, since we are dividing 10^6 by 10^1, we are actually subtracting the exponents:

So we have [tex]10^5[/tex]

When you distrubute the ^5, you get:

100,000

So this is how many times bigger 3* [tex]10^6[/tex] is than 3*[tex]10^1[/tex]

HOpe this helps! :D