A 16-ounce package of cereal costs $4.00. What is the unit cost?
$0.25
1 oz.
4 oz
$1.00
$1.00
4 Oz.
1 oz.
30.25

Answer:

4

Step-by-step explanation:

2x2x2x2 = 16

Answer:

2^4 =16

Step-by-step explanation:

Rewriting 16

2^n = 2*2*2*2

2^n = 2^4

2^4 = 16

Answer:

Quotient is [tex]5(x^2+x+1)[/tex] and remainder is 0.

Step-by-step explanation:

Given: [tex]\frac{5x^4+5x^2+5}{x^2-x+1}[/tex]

To find: quotient and remainder

Solution:

In the given question,

Dividend = [tex]5x^4+5x^2+5[/tex]

Divisor = [tex]x^2-x+1[/tex]

[tex]\frac{5x^4+5x^2+5}{x^2-x+1}\\=\frac{5(x^4+x^2+1)}{x^2-x+1}\\=\frac{5[x^2(x^2+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+x+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x^3+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1+x-1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1)+(x^2-x+1)]}{x^2-x+1}\\=\frac{5[(x^2-x+1)(x^2+x+1)}{x^2-x+1} \\=5(x^2+x+1)[/tex]

So, quotient is [tex]5(x^2+x+1)[/tex] and remainder is 0.

Answer:

Step-by-step explanation:

The given triangular flag has two given sides and an angle. Since the lengths of the sides and the size of the angle are known, it means that Eloise can design only one triangular flag. This is because the lengths cannot be altered. Also, the size of the angle is always the same. If the sizes of the three angles were known and the length of the sides were unknown, different sizes of the triangular flags can be produced with the angles remaining constant.

Answer:

B

Step-by-step explanation:

there

Answer:

204 cubic feet

Step-by-step explanation:

The formula for the volume of a rectangular prism is simply to multiply together the length, width, and height. In this case, 6*17*2=204 cubic feet. Hope this helps!

Answer:

do 16x17 divided by 2

Step-by-step explanation:

:)

Answer:

A = pi (15)^2

Step-by-step explanation:

The diameter is 30

The radius is 1/2 of the diameter

r = d/2 =30/2 = 15

The area of a circle is

A = pi r^2

A = pi (15)^2

A = 225 pi

Answer:B

Step-by-step explanation: 30 is the diameter so we divide it by 2 to get 15 which is the radius. Radius to the power of 2 times pi is how you get area so 15^2 times pie equals area.

Answer:6 years

Step-by-step explanation:

Given

A family has 3 children

Suppose the age of  middle child is [tex]x[/tex]

According to the question, Age of oldest child is [tex]=x+4[/tex]

Eldest child age [tex]=x-2[/tex]

Sum of the ages of children is [tex]26[/tex]

[tex]x+4+x+x-2=26[/tex]

[tex]3x+2=26[/tex]

[tex]3x=24[/tex]

[tex]x=8[/tex]

Therefore age of youngest child is [tex]x-2=8-2=6\ years[/tex]

Answer:

A.) Henry

B.) Thomas

Step-by-step explanation:

Given the following :

Henry's elevation = 10feets relative to sea level

Thomas elevation = -12 1/2 that is (-25/2) feet relative to sea level

Person with greater elevation:

Elevation can be described as height, in this case, the sea level used as the reference point. Therefore, a positive distance denotes an elevation above the reference point (which is the sea level). Therefore, Henry has a greater elevation of 10 feet( a distance above 0).

B) Who is farther from sea level:

This can be calculated by comparing the absolute distance between the elevation of both Henry and Thomas relative to the reference point(sea level)

Take reference point as 0

Absolute distances relative to sea level:

Henry's distance | 10 - 0 | = 10

Thomas's distance | -(25/2)- 0 | = 12 1/2

Answer:

A then B

Step-by-step explanation:

Answer:

No, it’s 7.50

Step-by-step explanation:

The discounted price is 7.5, but according to question the discounted price is $10. Therefore given statement is wrong.

Percentage is a measurement to find value of given number out of hundred.

Given that,

Cost price of one shirt = $10.

Also, Shopkeeper marks up 50 % on shirts.

Marked up price = 10 x 50% = 10 x 50 / 100 = $15

Since, shopkeeper gives discount as put the shirts on sale for 50% off.

So the price after giving discount = 15 x 50 / 100 = 7.5

The discounted price of shirt is 7.5.

Hence, the given statement that is discount price is $10 is incorrect.

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Answer:

O lol top right still

Step-by-step explanation:

Answer:

Step-by-step explanation:

Only a straight line can be formed at the intersection of a plane with another plane. The faces of a cube are planes, so a 2-dimensional (planar) cross section of a cube cannot be a curve. It cannot be an ellipse or circle.

The intersection of a plane with a cube can be a polygon with 3, 4, 5, or 6 sides. That is, the 2-D cross section of a cube can be ...

  triangle, rectangle, square, pentagon, hexagon

__

The attachment shows some possibilities.

Answer:

4

Step-by-step explanation:

If you add 4 it would be 1/4, 4/8, 65% which goes from least to greatest!

Answer:

x= 3

Step-by-step explanation:

1/3 = 33.3%. 3/8 = 37.5%. 65%

Hope this helps.

Answer:

Range: 9

Mode: 23

Median: 25.5

Mean: 26.1

Step-by-step explanation:

Arrange the data set from least to greatest.

22, 23, 23, 23, 23, 25, 25, 25, 26, 27, 28, 29, 29, 29, 30, 31

Range: Highest value - Lowest value =

Mode: The most number listed in the data set, or the listed numbers

Median: The middle number

Mean: finding the average of the data set

Range: 31 - 22 = 9

Mode: 23

Median: 25 + 26 = 51/2 = 25.5

Mean: 22 + 23 + 23 + 23 + 23 + 25 + 25 + 25 + 26 + 27 + 28 + 29 + 29 + 29 + 30 + 31 = 418/16 = 26.125 or 26.1

Answer:

35 degrees

Step-by-step explanation:

The lower quartile is the most left point of the box but not all the way to the whiskers

Answer:

I am not completely sure but I believe that it is C) 240 yd^3

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

The order in which the items are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many possible subsets of 2 items can be chosen from this lot?

Combinations of 2 from a set of 10. So

[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]

Answer:

45

Step-by-step explanation:

Answer:

7/18

Step-by-step explanation:

First we need to find what values of sum we can have.

The minimum value for a cube is 1, so the minimum value for the sum is 2.

The maximum value for a cube is 6, so the maximum value for the sum is 12.

Now, we find the multiples of 6 and the multiples of 4 between 2 and 12:

4, 6, 8, 12.

To have a sum of 4, we can have the pairs:

(1,3), (2,2), (3,1)

To have a sum of 6, we can have the pairs:

(1,5), (2,4), (3,3), (4,2), (5,1)

To have a sum of 8, we can have the pairs:

(2,6), (3,5), (4,4), (5,3), (6,2)

To have a sum of 12, we can have the pairs:

(6,6)

So we have 14 pairs among the 36 (6 possibilities of each cube, so 6*6=36) total possibilities of pairs, so the probability is P = 14/36 = 7/18

The probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4 is,      [tex]P(E)=\frac{14}{36}=\frac{7}{18}[/tex]

The probability of any event is computed as divide number of favourable outcomes by total number of outcomes.

The sum that is a multiple of 6 or a sum that is a multiple of 4  are   4, 6, 8 and 12.

For sum of 4, we can have the pairs = (1,3), (2,2), (3,1)

For sum of 6, we can have the pairs: = (1,5), (2,4), (3,3), (4,2), (5,1)

For sum of 8, we can have the pairs = (2,6), (3,5), (4,4), (5,3), (6,2)

For sum of 12, we can have the pairs = (6,6)

Total number of favourable outcomes = 14

When two distinct number cubes are rolled. then,

Total number of outcomes  [tex]=6^{2}=36[/tex]

The probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4,

                  [tex]P(E)=\frac{14}{36}=\frac{7}{18}[/tex]

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Answer:

240

Step-by-step explanation:

50% is the same as 50/100.

50/100=0.5

Then, multiply 0.5 by 480 (the same as dividing it by 2)

480*0.5= 240

Answer:

Step-by-step explanation:

10 minutes

if it took her 16 minutes to read 8 pages then that means it takes her 2 minutes to read one page. 2 times 5 is 10

Answer:

Step-by-step explanation:

It would be ten. Because it took her 16 minutes to read 8 pages and 8 pages times 2 minutes each page = 16 minutes, so 5 pages times 2 minutes each page = 10

Answer:

0.7853981634

Step-by-step explanation:

it acually depends on the size of the circle. i asked google and they gave me that answer which is beloow "answer"

Answer:

A.

Step-by-step explanation:

Just find the lowest common multiple of 51 and 85.

51 = 3 * 17

85 = 5 * 17

3 * 5 * 17 = 255

The lowest common denominator for the fractions is 17.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

fraction = 8/51 and 19/ 85

Now, LCM of 51 and 85.

51 = 17 x 3

85= 17 x 5

So, the least common multiple is 17.

Hence, the lowest common denominator for the fractions is 17.

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Answer:

The correct option is Account D

Step-by-step explanation:

Bank requires that $500 minimum balance,this is the highest minimum balance out of all the four banks.

Bank B's minimum required balance is $250 which is the third highest minimum balance.

Bank C requires account holder to have as minimum balance $300 which is second highest minimum balance.

Bank D only requires $100 that is the minimum among all the four banks

Bank D only requires $100 that is the minimum among all the four banks. Therefore, the correct answer is option D.

Bank requires that $500 minimum balance, this is the highest minimum balance out of all the four banks.

Bank B's minimum required balance is $250 which is the third highest minimum balance.

Bank C requires account holder to have as minimum balance $300 which is second highest minimum balance.

Bank D only requires $100 that is the minimum among all the four banks.

Therefore, the correct answer is option D.

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Answer: 5.9 cm for both triangles.

Step-by-step explanation:

Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 3^2 + 5^2  

c^2 = 9+25

c^2 = 34

c = √34

c = 5.9 cm

Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

what grade is this its and your answer is

Step-by-step explanation:

13/5 63/1 A = X

Answer:

[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]

The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:

[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]

Step-by-step explanation:

For this case we have the following info given:

[tex] \sigma = 0.73[/tex] represent the population deviation

[tex] \bar X = 84.5[/tex] represent the sample mean

[tex] n =60[/tex] represent the sample size

And we want to find the margin of error for a confidence level of 95%. So then the significance level would be [tex]\alpha=1-0.95 = 0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. The margin of error is given by:

[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]

The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:

[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]

Answer:

BEA and AED are supplementary angles  whose sum is 180°

Step-by-step explanation:

complete question is:

Consider rectangle ABCD with diagonals BD and AC  intersecting at E.

Which is true about the angle relationships in the  rectangle? Check all that apply.

Answer:

it is abd

Step-by-step explanation:

Answer:

B. 0

Step-by-step explanation:

The < sign means whatever is on the right side of the symbol should be greater than whatever is on the left side.

To solve this we need to understand that 0 is greater than -10. Then we need to make sure that 0 is greater than -5 and it is greater than -5.

Therefore the answer is 0

Hope this helps! If you have any more questions or need further clarification on anything please comment down below or message me! Good luck!