In June, Susie buys a dozen of cans of Dog's Dinner dog food at $1.89 per can. She also buys two bags of 'Dem Bones dental chews that each cost $12.69, and a new toy for $10.25. She pays sales tax at a rate of 7.25%. What is her total cost for the month of June?

The volume of rectangular prism is 6840 cubic centimeters.

Step-by-step explanation:

Given,

Area of base of rectangular prism= l*w = 360 cubic centimeters

Height of rectangular prism = h = 19 centimeters

Volume of rectangular prism = Length * Width * Height

Volume of rectangular prism = l*w*h

Volume of rectangular prism = [tex]360*19=6840\ cubic\ centimeters[/tex]

The volume of rectangular prism is 6840 cubic centimeters.

Keywords: prism, rectangle

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Answer:

option a is correct , watch explanation

Answer:

There are two factors of the function. You already said the first one, x-5. The second factor is Option A

Hope this helps, comment for any questions. If you like this answer please mark me the brainliest! Thanks!

Final answer:

To calculate the percentage of calories from fat, multiply the grams of fat by the calories per gram of fat and divide by the total calories consumed.

Explanation:

To calculate the percentage of calories from fat in Nadia's daily intake, we need to know the total number of calories she consumed. Let's assume it was 2000 calories. First, we calculate the number of calories from fat by multiplying the grams of fat consumed (60g) by the number of calories per gram of fat (9 calories/g). This gives us 540 calories from fat. Then, we calculate the percentage by dividing the calories from fat (540 calories) by the total calories consumed (2000 calories) and multiplying by 100. So, the percentage of calories from fat in Nadia's day's intake is 27%.

Answer:

no. of spjeres=10

radius of those cylinders =2cm

radius of the cylinder in which water is poured=10

rise in water water level =10×2÷10 = 2cm

The rise in water level will be 2 centimeters when spheres are fully immersed in a cylinder.

The volume of a cylinder is defined as the space occupied by the cylinder and the volume of any three-dimensional shape is the space occupied by it.

Ten spheres, each with a radius of 2 cm, are fully immersed in a 10 cm cylinder of water.

As per the given question, we have

The number of spheres = 10

The radius of those cylinders = 2cm

The radius of the cylinder in which water is poured = 10

According to the condition, the required solution would be as:

The rise in water level = 10 × 2 ÷ 10

The rise in water level = 20/10

Apply the division operation, and we get

The rise in water level = 2 cm

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4 hours ago = 1,000

2 hours ago = 2,000

Now = 4,000

In 2 hours = 8,000

In 4 hours = 16,000

In 6 hours = 32,000

In 8 hours = 64,000

In 10 hours = 128,000

In 12 hours = 256,000

The answer would be D. 12 hours.

Answer:

Option B) Use sample statistics to make decisions about population parameters  

Step-by-step explanation:

Statistical hypothesis testing

Thus, Option B) Use sample statistics to make decisions about population parameters is the correct answer.

[tex]\text{Solve:}\\\\(5x^2 + 2x + 11) - (7 + 4x - 2x^2)\\\\5x^2+2x+11-7-4x+2x^2\\\\7x^2+2x+11-7-4x\\\\7x^2-2x+11-7\\\\\boxed{7x^2-2x+4}[/tex]

Answer:

D. 7x2 - 2x + 4

Step-by-step explanation:

5x2 + 2x + 11 - 7 - 4x +2x2

7x2 + 2x + 11 - 7 - 4x

7x2 - 2x + 11 - 7

7x2 - 2x + 4

Answer:

Step-by-step explanation:

Answer: interest at the end of 3 months is $4.08

Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

From the information given

T = 3 months = 3/12 = 0.25 years

P = $544

R = 3%

Therefore

I = (544 × 3 × 0.25)/100

I = 408/100

I = 4.08

Final answer:

When a positive integer x, which leaves a remainder of 5 when divided by 9, is multiplied by 3, the remainder when 3x is divided by 9 is 6.

Explanation:

When the positive integer x is divided by 9, the remainder is 5. To determine the remainder when 3x is divided by 9, we should remember that when two positive numbers multiply, the result has a positive sign. So multiplying x by 3, we get 3x. The initial information tells us that x = 9n + 5 for some integer n. Thus, 3x equals 3(9n + 5), which simplifies to 27n + 15. This expression can be further broken down as 27n + 9 + 6, which is the same as 9(3n + 1) + 6. Therefore, when 3x is divided by 9, it is the same as dividing this expression by 9, which leaves us with a remainder of 6. Hence, the remainder when 3x is divided by 9 is 6.

Answer:

C. $1.80

Step-by-step explanation:

Given:

MSRP of a certain item = $60

Percentage of Selling by store A = 20%

Percentage amount will be = [tex]\frac{20}{100}\times 60 = \$12[/tex]

Sales tax = 5% on purchase price

Amount of sales tax = [tex]\frac{5}{100}\times 60 = \$3[/tex]

Total Cost of item at Store A is MSRP of a certain item plus Percentage amount of selling the item plus Amount of Sales tax.

framing in equation form we get;

Total Cost of item at Store A = [tex]60+12+3 =\$75[/tex]

Also Given:

Percentage of Selling by store B = 30%

Percentage amount will be = [tex]\frac{30}{100}\times 60 = \$18[/tex]

Regular price of item at store B = [tex]60+18 = \$78[/tex]

Percentage of discount of item at store B = 10% on regular price

Amount of discounted item at store B = [tex]\frac{10}{100}\times78 = \$7.8[/tex]

Now regular price of item with discount at store B will be equal to Regular price of item at store B minus Amount of discounted item.

regular price of item with discount at store B = [tex]78-7.8 = \$70.2[/tex]

Sales tax = 5% on purchase price

Amount of sales tax = [tex]\frac{5}{100}\times 60 = \$3[/tex]

Total Cost of item at Store B is regular price of item with discount at store B plus Amount of Sales tax.

framing in equation form we get;

Total Cost of item at Store B = [tex]70.2+3 =\$73.2[/tex]

The result when total cost of the item at Store B is subtracted from the total cost of the item at Store A  = $73.2 - $75 = $1.80.

Hence the result is $1.80.

Answer:

The answer is 35.

35% of the class had scores that were greater than 70 but less than 85.

Step-by-step explanation:

Let's assume the number of students in the class =100

If 75% of the class scored greater than 70, then, it means 25% (100-75) of the scores were less than or equal to 70

In other words, 25 scores were less than or equal to 70.

If 60% of the class had scores that were less than 85, then, it means 40%(100-60) of the scores were greater than or equal to 85

Therefore, of the 100 scores, 25 scores were LESS THAN OR EQUAL to 70, and 40 scores were GREATER THAN OR EQUAL to 85.

We've now accounted for 65 (25+40) scores, which means the remaining 35 (100-65) scores must be between 70 and 85.

Answer:

The answer is 35.

35% of the class had scores that were greater than 70 but less than 85.

Step-by-step explanation:

Let's assume the number of students in the class =100

If 75% of the class scored greater than 70, then, it means 25% (100-75) of the scores were less than or equal to 70

In other words, 25 scores were less than or equal to 70.

If 60% of the class had scores that were less than 85, then, it means 40%(100-60) of the scores were greater than or equal to 85

Therefore, of the 100 scores, 25 scores were LESS THAN OR EQUAL to 70, and 40 scores were GREATER THAN OR EQUAL to 85.

We've now accounted for 65 (25+40) scores, which means the remaining 35 (100-65) scores must be between 70

Answer:

a ) P₈  =  40320

b) P = 576

c) P =   1440

d) P =  24

Step-by-step explanation:

a )  8 people sitting in a row without restrictions

simple  Total ways  =  P₈  =  8!

P₈  =  8*7*6*5*4*3*2*1

P₈  =  40320

b) There are 4 men and 4 women  and no two men or 2 women can sit next to each other

Let  letters e women  and numbers  be men we have something like this

1  a  2  b  3  c  4  d

So we have the permutations of the four digits (men)

P₄  =  4!  

P₄  =  4*3*2*1   =  24

And the permutations of the 4 women too  equal to 24

Then total ways of sitting in a row in this case is

P = 24*24  = 576

c) There are 5 men and they have to sit next to each other

In this case we have 2 groups:  

Group 1    5 men                        Group  2    3  women

We have two groups and the ways are

group men first                group of women second         1  way

group of women first       group of  men second             2  way

Permutations within men group

P₅  =  5!    =  5*4*3*2*1    

P₅  =   120

Permutations within the women group

P₃  = 3!     =  3*2*1  

P₃  = 6

Total ways case c)   T = 6*120*2  =

P(c)  =  1440

d) There are four couples and each couple must be together

P₄ =  4!  =  4*3*2*1

P₄ =  24

Final answer:

To determine which of the given points satisfy the inequality y < (2/3)x + 2, substitute the x and y values of each point into the inequality and check if it is true. The only solution to the inequality is (0, 3).

Explanation:

To determine which of the given points satisfy the inequality y < (2/3)x + 2, we can substitute the x and y values of each point into the inequality and check if the inequality is true.

Taking the first point (0, 3), we substitute x=0 and y=3 into the inequality: 3 < (2/3)(0) + 2. Simplifying, we have 3 < 2, which is true. Therefore, (0, 3) is a solution to the inequality.

Next, let's check the other points: (-3, 1), (3, 5), and (1, 2).

By substituting the x and y values of each point into the inequality, we find that (-3, 1), (3, 5), and (1, 2) are not solutions to the inequality. Therefore, the only solution to the inequality is (0, 3).

Answer:

Gilda can send 125 messages in one month.

Step-by-step explanation:

Given,

Total bill of 1 month = $50

Fixed charge of 1 month = $40

Charge of 1 message = 8 cents

∵100 cents = $1

∴8 cents = $0.08

Therefore Charge of 1 message = $0.08

We have to find out the number of messages that Gilda can send in 1 month.

Solution,

Let the total number of messages that Gilda can send in 1 month be 'x'.

Total bill of the month is the sum of fixed charge and charge of 1 message multiplied with total number of messages.

So, framing the above sentence in equation form, we get;

Total bill of 1 month =Fixed charge of 1 month+Charge of 1 message× total number of messages

On substituting the given values, we get;

[tex]40+0.08x=50\\\\0.08x=50-40\\\\0.08x=10\\\\x=\frac{10}{0.08}=125[/tex]

Hence Gilda can send 125 messages in one month.

Answer:

(4 √ 3 + 4 √2 ) m

Step-by-step explanation:

The  insect can travel from one corner directly to opposite corner in four different ways

each can be calculated using Pythagoras theorem

firstly  for one face we need to calculate the diagonal

H² = 1² + 1² = 2

H = √2

then we calculate the diagonal opposite a corner

for example

A to H where A  is at the bottom and H opposite A in another plane at the top in the cubical box

(Interior diagonal for A to H)² = √2² + 1² = 3

Interior diagonal from A to H = √ 3

there are four such corners, the fly will travel 4 √ 3 and it could also go 4 √2 diagonally to the the other corners

maximum possible length in meters = (4 √ 3 + 4 √2 ) m

Answer:

DE=10

Step-by-step explanation:

Given that in triangle ABC, $BC = 20 \sqrt{3}$ and $\angle C = 30^\circ$. Let the perpendicular bisector of $BC$ intersect $BC$ and $AC$ at $D$ and $E$,

To find length of DE

Please refer to the attachment for solution

Since perpendicular bisector we have DC = 1/2 BC = 10 sqrt 3

Using right triangle CDE, we get DE = 10

Answer: The first number is [tex]-10[/tex] and the second number is [tex]4[/tex]

Step-by-step explanation:

Let be "x" the first number and "y" the second number.

The word "Twice" indicates multiplication.

By definition, the sum is the result of an addition.

"is" indicates an equal sign.

Therefore, "Twice the sum of a number and three times the second number is four" can be expressed as:

[tex]2(x+3y)=4[/tex]   [Equation 1]

A difference is the ressult of a subtraction, then " The difference of 10 times the second number and five times the first is 90" can be expressed as:

[tex]10y-5x=90[/tex]   [Equation 2]

To find the numbers:

1. Solve for "x" from the Equation 1:

[tex]2(x+3y)=4\\\\2x+6y=4\\\\x=\frac{4-6y}{2}\\\\x=2-3y[/tex]

2. Substitute this equation into the Equation 2 and solve for "y":

[tex]10y-5(2-3y)=90\\\\10y-10+15y=90\\\\25y=100\\\\y=\frac{100}{25}\\\\y=4[/tex]

3. Substitute the value of "y" into the equation [tex]x=2-3y[/tex] and evaluate:

[tex]x=2-3(4)\\\\x=-10[/tex]

Answer:

18 snacks

Step-by-step explanation:

Here we are considering that popcorn,icecreams,chocolate are snacks and each quantity represents each unit of snack.

Given that  they ate 8 buckets of popcorn, 4 ice cream bars, and 6 boxes of chocolate

So the total number of snacks they ate are 8 + 4 + 6 = 18

Answer:

A.) View Image

B.) Not possible. If you look at the graph,the student must work at the cafe at least 80 hours and at the the market for at least 100 hours to earn the minimum $800 they wanted.

60 hours is below the minimum required time of both place. 90 hours can only satisfy the minimum work hour of one of the place, they need to satisfy the minimum of both places.

In other word, they must work at least 180 hours to earn the $800+ they wanted

Step-by-step explanation:

Set up your equation.

let c be hour worked at cafe and m be hours worked at market.

solve for any of the variable. I solved for c because it looked easier. solving for m will give you the same graph as well.

Graph your equation like usual. Since it's a ≥ sign then you must shade above the line. The shaded part represents the hours that the student can work at both place to earn at least $800

Answer:

Median = 45

Step-by-step explanation:

We are given the following data set:

21, 23, 76, 47, 55, 135, 45, 30, 17

Median is the number that divides the data into two equal parts.

Formula:

[tex]Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}[/tex]

Sorted data:

17, 21, 23, 30, 45, 47, 55, 76, 135

Sample size = 9, which is odd

Median =

[tex]\dfrac{9+1}{2}^{th}\text{ term} = \dfrac{10}{2}^{th}\text{ term} = 5^{th}\text{ term}\\\\= 45[/tex]

The median of given set of numbers is 45.

===============================================

How I got that answer:

Create a two-way table showing the breakdown of students who like or dislike either vegetable. This is shown in the attached image below. Anywhere there is a letter indicates we aren't able to determine that value. Luckily we dont need to know those values to answer the question.

----------

Let's say we had 3000 students. I picked some large number that is a multiple of 3. That way when we multiply by 2/3, we get a whole number.

Take 2/3 of 3000 and you should get 2000. So there are 2000 students who dislike lima beans. Write "2000" at the end of the "dislike lima beans" row which is where the total is. Above that we'll have 1000 people who like lima beans, but we dont need to use this value.

-----------

Of those 2000 students, 3/5 of them also dont like sprouts either. So (3/5)*2000 = 0.6*2000 = 1200 students do not like both veggies. Furthermore, 2000 - 1200 = 800 like sprouts but dont like lima beans.

Alternatively, 2/5 of the 2000 students like sprouts but dont like lima beans, so (2/5)*2000 = 0.4*2000 = 800.

Step-by-step explanation:

987 → 789

987 - 789 = 198

876 → 678

876 - 678 = 198

765 → 567

765 - 567 = 198

654 → 456

654 - 456 = 198

543 → 345

543 - 345 = 198

432 → 234

432 - 234 = 198

321 → 123

321 - 123 = 198

Generally it is always like that:

3 ≤ x ≤ 9

100x + 10(x-1) + (x - 2) → 100(x - 2) + 10(x - 1) + x

(100x + 10(x - 1) + (x - 2)) - (100(x-2) + 10(x-1) + x)

= 100x + 10(x - 1) + (x - 2) - 100(x - 2) - 10(x - 1) - x   cancel 10(x - 1)

= 100x + x - 2 - 100x + 200 - x     cancel 100x and x

= 100 - 2

= 198

Answer:

Total number of ways will be 20

Step-by-step explanation:

We have given three identical green shirts and three identical red shirts

So total number of shirts = 3+3 = 5

We have to distribute these shirts to 6 children so that each children got one shirt

Number of ways will be equal to [tex]=\frac{6!}{3!3!}=20[/tex] ( Here we divide by 3!3! because three green shirts and 3 red shirts are identical )  

Answer:

The value of the quotient is always equal to m

Step-by-step explanation:

The values of m and n are whole numbers greater than 1.

We are given a quotient that is [tex]\frac{\frac{m}{n} }{\frac{1}{n}}[/tex].

In this we have fractions in both numerator and denominator.

The given quotient will be the same if we multiply the numerator with the inverse of the denominator.

So we multiply the numerator [tex]\frac{m}{n}[/tex] with the inverse n.

So the quotient will become = [tex]\frac{m}{n} \times n[/tex] = m

Hence the value of the quotient is always equal to m.

Answer:

Step-by-step explanation:

Looking at the table,

a) the standard daily rate for a luxury car is $70. Since Lynn wants to rent the luxury car for 3 days, it means that the standard rate for 3 days would be

3 × 70 = $210

She figures she will put on about 400 km during the three

days. The cost of renting the luxury car per kilometer(mileage) is 30 cents. Therefore, the cost for 400 kilometers would be

400 × 30 = 12000 cents.

Converting 12000 cents to dollars, it becomes

12000/100 = $120

Total cost of renting the luxury car would be

120 + 210 = $330

b) the daily cost of the unlimited mileage daily for the luxury car is $105

Total cost of renting the luxury car for 3 days would be

105 × 3 = $315

c) the standard daily rate is better because it is cheaper

Answer: The number is 12.

Step-by-step explanation:

Since we have given that

Sum of two digits = 12

Let the one's digit be 'x'

Let the ten's digit be '12-x'

So, Original number would be

[tex]x+10(12-x)\\\\=x+120-10x\\\\=-9x+120[/tex]

If 16 is added to the number, then one of the digit is four times the value of the other.

According to question, we get that

[tex]-9x+120+16\\\\=-9x+136[/tex]

so, the one's digit be 'x'.

Let the ten's digit be '4x'.

so, New number would be

[tex]10x+4x=14x[/tex]

According to question, it becomes,

[tex]14x=-9x+136\\\\14x+9x=136\\\\23x=136\\\\x=\dfrac{136}{23}=12[/tex]

So, the number would be

[tex]-9x+120=-9\times 12+120=-108+120=12[/tex]

Hence, the number is 12.

Answer:

66

Step-by-step explanation:

Brute force:

2 digit numbers that has sum of 12:

39, 48, 57, 66

Add 16 to the numbers:

55, 64, 73, 82

Find the number that shows a digit is 4 times the value of other:

82 (2x4 =8)

Step-by-step explanation:

A rectangular lot whose perimeter is 260 ft is fenced along three sides. An expensive fencing along the​ lot's length cost $ 18per foot. An inexpensive fencing along the two side widths costs only $ 3per foot.

So we have

         l + 2 w = 260 -------------------eqn 1

And total cost is 1800 $

That is

                18 l + 2 x 3 w = 1800

                 3l + w = 300 -------------------eqn 2

eqn 2 x 2

                 6l + 2w = 600 -------------------eqn 3

eqn 3 - eqn 1

              6l + 2w - l - 2w = 600 - 260

                   5l = 340

                     l = 68 ft

Substituting in eqn 1        

                   68 + 2 w = 260    

                     2w = 192

                       w = 96 ft

Lot's dimension is 68 ft x 96 ft    

Answer:

a)%85,5

b)%92,2

Step-by-step explanation:

a) To determine the probability of getting a hand with at least one face, we need to calculate the probability of the hand without any face firstly.

[tex](36/52)*(35/51)*(34/50)*(33/49)*(32/48)=0,145[/tex]

Then, we need to deduct this value from the probability 1

[tex]1-0,145=0,855[/tex]

The probability of the hand with at least one face is %85,5.

b)To determine the probability of a hand with at least one ace and face we will track the same road again.

[tex](32/52)*(31/51)*(30/50)*(29/49)*(28/48)=0,0775[/tex]

Then, we need to deduct this value from the probability 1

[tex]1-0,0775=0,922[/tex]

The probability of the hand with at least one ace and one face is %92,2.

Answer: 84

Step-by-step explanation:

K=28

O=2K=2*28=56

O+K=56+28=84

The total number of boxes that Kyle and Omar sold is 84.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Division = divide any two numbers or variables called division.

Multiplication = to multiply any two or more numbers or variables called multiplication.

As per the given,

Kyle sold 28 boxes of fruit.

Omar sold 2 times,

28 x 2 = 56 boxes

Total boxes = 56 + 28 = 84 boxes

Hence "The total number of boxes that Kyle and Omar sold is 84".

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Answer:

No solution

Step-by-step explanation:

-6y - 3 = 3 - 6y     ,     add 6y on both sides to cancel them out

-3 = 3     ,     you're left with -3=3, which is impossible because they're

                   different numbers, therefore not solution.

-3 ≠ 3