a store in Rogers's neighborhood sells boxes of pencils that have 6 pencils in each box. roger bought several boxes of pencils at the store. which could be the number of pencils he bought?​

Answer:

3 ≤ y ≤ 5

Step-by-step explanation:

Rosalie is training for a marathon. She jogs for 30 minutes at a rate of 5 miles per hour, then she decreases her speed over a period of time and walks for 60 minutes at a rate of 3 miles per hour.

Therefore, the speed (y) of Rosalie ranges from 5 mph to 3 mph including the values.  

So, the range of this relation is 3 ≤ y ≤ 5. (Answer)

We can see here that the range of this relation is: D. 3 ≤ y ≤ 5

To determine the range of this relation, let's first calculate the distances Rosalie covers during each phase of her training:

Jogging phase:

Time = 30 minutes = 0.5 hours

Speed = 5 miles per hour

Distance = Speed × Time = 5 × 0.5 = 2.5 miles

Walking phase:

Time = 60 minutes = 1 hour

Speed = 3 miles per hour

Distance = Speed × Time = 3 × 1 = 3 miles

Now, let's consider the range of distances Rosalie covered during her training:

The minimum distance she covered is 2.5 miles (jogging phase), and the maximum distance is 2.5 + 3 = 5.5 miles (jogging + walking phases).

The given options are:

A. 0 ≤ y ≤ 5

B. y ≤ 5

C. y ≥ 0

D. 3 ≤ y ≤ 5

Since the minimum distance covered is 2.5 miles and the maximum distance covered is 5.5 miles, the correct option that represents the range of this relation is:

D. 3 ≤ y ≤ 5

Learn more about range on https://brainly.com/question/24326172

#SPJ3

Answer:

7. The numbers 14/81 are relatively prime

8. b=3

9. 0.00001

19. 11

Step-by-step explanation:

7. Relatively prime numbers have no common factors. We only have to factor each number and compare

14=2*7

35=5*7

38=2*19

81=9*9

91=7*13

The first two numbers have 7 in common

The second have 2 in common

The third set have no common factors

The fourth set have 7 in common

The numbers 14/81 are relatively prime

8. [tex]b^{-3}=\frac{1}{27} => b^3=27 => b=\sqrt[3]{27} =3[/tex]

9. [tex]10^{-5}=\frac{1}{100000}=0.00001[/tex]

10. 100,000,000,000=10*10*...10 as many times as zeroes there are, so

[tex]100,000,000,000=10^{11}[/tex]

Answer:

Step-by-step explanation:

The total number of flowers that jasmine has to make bouquets is 84.

We need to note that she want to use all the flowers.

Now let us write down all factors of 84.

84= 1 * 84  ....(1)

   = 2 * 42 ....(2)

   = 3 * 28 ....(3)

   = 4 * 21  ....(4)

   = 6 * 14 .....(5)

   = 7 * 12  ....(6)

Now all we need is odd number of flowers in each bouquet,i.e,

All the numbers written in the right hand side of the above 1 to 6

numbered equations are factors of 84.

Since Jasmine wanted no flowers to be wasted so we can assume that number of flowers in each bouquet must be an odd factor of 84.

Therefore, odd factors of 84 are 1,3,7,21.

So Jasmine could have 84 bouquets with 1 flower in each,28 bouquets with 3 flower in each,12 bouquets with 7 flower in each or 4 bouquets with  21 flower in each.

Answer:

the answer is 7

Step-by-step explanation:

Answer:

Yes she made an error. Explanation is below.

Step-by-step explanation:

Let the sample space for a six sided number cube be S

[tex]n(S) = \{1,2,3,4,5,6\}\\n(S) = 6[/tex]

Let the event of a number getting greater than two be B

[tex]n(B) = \{3,4,5,6\}\\n(B) = 4[/tex]

To find:

the probability of complement of B that is

p(~B) = ?

Solution"

First we need to solve probability for number getting greater than two

[tex]p(B) = \frac{n(B)}{n(S)}[/tex]

Now substituting the values we get

[tex]p(B) = \frac{4}{6}[/tex]

[tex]p(B) = \frac{2}{3}[/tex]

but we need complement of B so

[tex]p(\textrm{complement of B)} = 1 - p(B)\\p(\~B) = 1 - p(B)\\p(\~B) = 1 - \frac{2}{3}\\ =\frac{1}{3} \\[/tex]

P(complement of rolling a number greater than two) = [tex]\frac{1}{3}[/tex]

Answer:

[tex]y<\frac{1}{4}x+3[/tex]

Step-by-step explanation:

we know that

The solution of the inequality in the graph is the shaded area below the dashed line

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,3)

The dashed line pass through the points (0,3) and (4,4)

The slope of the dashed line is

[tex]m=(4-3)/(4-0)=1/4[/tex]

The equation of the dashed line in slope intercept form is

[tex]y=\frac{1}{4}x+3[/tex]

therefore

The inequality represented by the graph is

[tex]y<\frac{1}{4}x+3[/tex]

Answer:

15/8 pounds of soil or 1 7/8 pounds of soil

Step-by-step explanation:

5 pots * 3/8 pound per pot = 15/8 pounds of soil

Answer:

[tex](8x^{2} +5)(9x-7)[/tex]

Step-by-step explanation:

[tex]72x^{3}-56x^2+45x-35[/tex]

Out of 72x^3 and 56x^2 you can factor 8x^2

Out of 45x and -35 you can factor 5

So if you put those together you get 8x^2+5

8x^2*9x=72x^3 and 8x^2*-7= -56x^2

5*9x=45x and 5*-7= -35

Answer:

no

Step-by-step explanation:

because, 190% as a decimal is 1.9. So 1.9 times 20 is 38. Not 380.

Please mark me brainliest

Answer:

Step-by-step explanation:

1d

2c

3a

4c

6  4=110(alt exter) 3=70(Suppl of 4)   1=70(vertical with 3)

7    x=3

   8x+8=32

8x=24

x=3

8

42=8x-14

56=8x

x=7

42=56-14

Amount owed at the end of 1 year is 3640

Given that yoko borrows $3500.

Rate of interest charged is 4% compounded each year

Need to determine amount owed at the end of 1 year.

In our case :

Borrowed Amount that is principal P = $3500

Rate of interest r = 4%

Duration = 1 year and as it is compounded yearly, number of times interest calculated in 1 year n = 1

Formula for Amount of compounded yearly is as follows:

[tex]A=p\left(1+\frac{r}{100}\right)^{n}[/tex]

Where "p" is the principal

"r" is the rate of interest

"n" is the number of years

Substituting the values in above formula we get

[tex]\mathrm{A}=3500\left(1+\frac{4}{100}\right)^{1}[/tex]

[tex]\begin{array}{l}{A=\frac{3500 \times 104}{100}} \\\\ {A=35 \times 104} \\\\ {A=3640}\end{array}[/tex]

Hence amount owed at the end of 1 year is 3640

Answer:

the guy wire is 7.211 ft long

Step-by-step explanation:

Notice that we are in the presence of a right angle triangle formed by: the height (the standing 6 ft pole), the base (the distance from the pole to the anchoring point on the ground), and the actual guy wire. See attached image for reference.

Notice that since pole and ground are perpendicular to each other (at 90 degrees) , the guy wire forms what is called the "hypotenuse" (longest side) of the right angle triangle. We can therefore use the Pythagorean Theorem to solve this problem with the formula for the hypotenuse:

[tex]Hypotenuse=\sqrt{side1^2 +side2^2} \\Hypotenuse= \sqrt{6^2+4^2}\\Hypotenuse=\sqrt{36+16} \\Hypotenuse=\sqrt{52} \\Hypotenuse=7.2111\, ft[/tex]

Answer:

80%

Step-by-step explanation:

To find percentage increase, we use the following formula:

Percentage Increase = [tex]\frac{New-Old}{Old}*100[/tex]

Here

New means the latest value (which is 18 dancers)

Old means the previous value (which is 10 dancers)

The Multiplication by 100 is to convert the decimal answer to percentage.

So, we have:

New = 18

Old = 10

Now we substitute and find:

[tex]\frac{New-Old}{Old}*100\\\frac{18-10}{10}*100\\\frac{8}{10}*100\\80[/tex]

So, there was an increase of 80%

Answer:

the answer is  18m3n3

Step-by-step explanation:

Answer:

the answer is  18m3n3

Step-by-step explanation:  :)) good luck!!

Answer:

{(-3, 16),(0, 15),(3, 14)}

Step-by-step explanation:

It shows on a graph.

Answer:

it would be 2

Step-by-step explanation:

what you do to find the probability is to divide so you divide 60 from 12 which automatically = 5 so then you divide 10 from 5 which gives you 2

The Correct Answer is 2 times

On spinning 60 times domain landed arrow 12 times.

On 1 time spinning, he will land an arrow   [tex]\frac{60}{12}[/tex]=5

∴ number of times arrow landed on green = [tex]\frac{10}{5}[/tex]=2

Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there's only a single 3 on each die), and the number of outcomes is 6.

Learn more about probability here: https://brainly.com/question/251701

#SPJ2

Answer:

70 cm^2

Step-by-step explanation:

A=LW=10*7=70

x = 17

m∠JKL = 87°

m∠KJL = 58°

m∠KLJ = 35°

m∠KLM = 145°

Step-by-step explanation:

The exterior angle theorem says that the sum of two interior angles is equal to the exterior angle

In the given triangle, the interior angles are:

m∠K = (7x-32)°

m∠J = (5x-27)°

The interior angle is:

m∠L = (9x-8)°

So writing mathematically

m∠J+m∠K = m∠L

[tex]7x-32+5x-27 = 9x-8\\12x -59 = 9x - 8\\12x-9x = 59-8\\3x = 51[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3} =\frac{51}{3}\\x = 17[/tex]

Now m∠JKL

= [tex]7x-32\\=7(17) - 32\\=119-32\\=87[/tex]

m∠KJL

[tex]= 5x-27\\=5(17)-27\\=85-27\\=58[/tex]

m∠KLJ

[tex]=188-9x\\=188-153\\=35[/tex]

m∠KLM

[tex]=9x-8\\=9(17) -8\\=153-8\\=145[/tex]

Hence,

x = 17

m∠JKL = 87°

m∠KJL = 58°

m∠KLJ = 35°

m∠KLM = 145°

Keywords: Angles, Triangle

Learn more about angles at:

#LearnwithBrainly

Answer:

7x+3

Step-by-step explanation:

The only like terms are 5x and 2x

5+2=7

Answer:

7x + 3

Step-by-step explanation:

Like terms are numbers with the same variables.

In 5x+3+2x, there are two terms that have the variable x.

You can combine 5x and 2x to be 7x.

5x + 3 + 2x

= 7x + 3

3 cannot be combined with them because it has no variable.

5/16 cups___1 muffin

5/4 cups___X=4 muffins

(5/4) / (5/16) = 4

Answer:

4/2=2

Step-by-step explanation:

Step-by-step explanation:

4/4 + 4/4

1 + 1

2

For the equation 3x + y = 15, when x is 2, y is 9; when x is 6, y is -3; when x is 0, y is 15; and when x is 3, y is 6.

To complete the table for the equation 3x + y = 15, substitute the given values of x into the equation to find the corresponding values of y:

1. For x = 2:

[tex]\[ 3(2) + y = 15 \implies 6 + y = 15 \implies y = 9 \][/tex]

2. For x = 6:

[tex]\[ 3(6) + y = 15 \implies 18 + y = 15 \implies y = -3 \][/tex]

3. For x = 0:

[tex]\[ 3(0) + y = 15 \implies 0 + y = 15 \implies y = 15 \][/tex]

4. For x = 3:

  [tex]\[ 3(3) + y = 15 \implies 9 + y = 15 \implies y = 6 \][/tex]

So, the completed table is:

x  2  9  6  0  3

y  9  3  -3  15  6

The missing values for y when x = 2 and x = 3 are 9 and 6, respectively.

The complete question is:

Complete the table with values for x or y that make this equation true: 3x+y=15

x     2     ___    6       0      3     ___     ___

y   ___     3    ___   ___   ___      0        8

Answer:

-5.4c

Step-by-step explanation:

We're combining two "like" terms here.

It may make the problem easier to visualize if we write one of these terms over the other, as follows:

-2.6c

- 2.8c

----------

Adding, we get:

-2.6c

- 2.8c

----------

- 5.4c (answer)

Answer:

$2704.80

Step-by-step explanation:

If she makes 12% commission off of it, she makes [tex]\frac{22540}{1} *\frac{12}{100}=$2704.80\\[/tex]

Final answer:

To calculate Amelia's commission, convert the 12% commission rate to a decimal (0.12) and multiply it by her sales of $22,540. Amelia will earn a commission of $2,704.80.

Explanation:

The question asks us to calculate how much commission Amelia makes on her sales of hand-crafted jewelry, given a commission rate of 12% and sales amounting to $22,540. To find the commission, we need to multiply the total sales by the commission rate expressed as a decimal.

Steps to Calculate Commission

Convert the commission rate from a percentage to a decimal by dividing by 100: 12% / 100 = 0.12.

Multiply the sales amount by the decimal commission rate: $22,540 × 0.12 = $2,704.80.

Amelia's commission for selling $22,540 worth of jewelry is $2,704.80.

Answer:8.44 miles per gallon

Step-by-step explanation:

1266/150=

8.44 miles per gallon

Answer:

The side length of the square is 7 inches².

Step-by-step explanation:

Given:

The dimensions of the tiles are 2 x 3, 3 x 5, 1 x 4, and 4 x 6 to form a single square.

Now, to get the length of the square formed by the tiles. We need to get the area of the square.

Area of the square formed by the four tiles = [tex]2\times 3+3\times 5+1\times 4+4\times 6[/tex]

                                                                        = [tex]6+15+4+24[/tex]

                                                                        = [tex]49[/tex]

So, the area of the square is 49 inches².

Putting the formula of square for getting the side length:

Area of the square = side²

[tex]49=side^{2}[/tex]

using square root on both sides:

[tex]7=side[/tex]

Therefore, the side length of the square is 7 inches².

Answer:

41) 7 packages

42) not sure

43) 11. 8.69/.79

44) 5. 14.50/2.90

45) 13.72. subtract

Answer:

41)7 packages

42)$10.00

43)$8.69

44)5 packages

Step-by-step explanation:

41) 14 packages =$40

÷2                     ÷2

___                  ___

  7                     20

42) 28 kuna :$5.00

      28x2=56 $5.00x2=10.00

43) 1p= $0.79

$8.69/.79=11

11p=$8.69

44) So, 44 is basically the same thing as 43, but different #s. if 1s=2.90, 14.50/2.90=5

Answer: 54 Degrees, 2days

Step-by-step explanation:

Answer:

54 Degrees, 2days

Step-by-step explanation:

Answer:

6x^2-12x+6

Step-by-step explanation:

(2x-2)(3x-3)

6x^2-6x-6x+6

6x^2-12x+6

The product of (2x - 2) and (3x - 3) using the FOIL method is 6x^2 - 12x + 6.

The expression (2x − 2)(3x – 3) can be considered as a product of two binomials and can be solved by applying the distributive property or the FOIL method - First, Outer, Inner, Last. We first distribute the 2x from the first binomial to each term in the second binomial (6x2 - 6x) and do the same with -2 (-6x + 6). Adding these together leads to 6x2 - 12x + 6, which is none of the options provided.

https://brainly.com/question/35822165

#SPJ11

Answer:

[tex]p=\frac{4\sqrt{10}}{5}[/tex]  

Step-by-step explanation:

step 1

Find the radius of the circle

Remember that AB is a tangent to the circle at point B

so

AB is perpendicular to OA

The radius of the circle is equal to the segment OA

In the right triangle OAB

[tex]sin(30\°)=\frac{OA}{OB}[/tex]

[tex]OA=(OB)sin(30\°)[/tex]

substitute the values

[tex]OA=(16)0.5=8\ units[/tex]

step 2

Find the value of p

In the right triangle OPQ

see the attached figure to better understand the problem

Applying the Pythagoras Theorem

[tex]OP^2=OQ^2+PQ^2[/tex]

substitute the values

Remember that OP is the radius

[tex]8^2=p^2+(3p)^2[/tex]

[tex]64=p^2+9p^2[/tex]

[tex]64=10p^2[/tex]

[tex]p^2=\frac{64}{10}[/tex]

[tex]p=\frac{8}{\sqrt{10}}[/tex]

simplify

[tex]p=\frac{4\sqrt{10}}{5}[/tex]