Denise is buying four birthday cards for $11.16. Sales tax on the four cards is $0.68. Including sales tax, what is the cost of each card?

Answer:

x=13

Q=30

P=126

R=24

Step-by-step explanation:

To find x put them all into an equation like this:

(4x-22)+(10x-4)+(x+11)=180 (we get 180 because all three angles of any triangle always equal 180)

calculate and you'll get x=13.

then to find each angle just put 13 in place of x

4(13)-22=30

10(13)-4=126

(13)+11=24

Answer:

3 hours

Step-by-step explanation:

each hour is 2,000 gallons filled up 1 hour = 2,000

                                                           2 hours = 4,000

                                                           3 hours = 6,000or 4,850

If the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.

Given that;

The pool is filled with 2,000 gallons in 1 hour

To fill with 4850 gallons, we require x hours

Cross multiply, hence;

x = ( 1hr × 4850 gallons ) / 2,000 gallons

x = 4850hrs / 2000

x = 2.4 hours

Therefore, if the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.

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Answer:

What would best describe the universal set U?

positive integers less than 10

What would best describe set A?

prime numbers in U

What would best describe A ∪ B?

numbers in U that are prime or even

What would best describe A ⋂ B?

even prime numbers in U

Hope it helps!

The universal set is the set of all natural numbers less than or equal to 9

The sets are given as:

A = {2, 3, 7, 5}

B = {2, 6, 8, 4}

Number 1 and 9 are outside the circles.

The universal set is the collection of all elements in the set.

i.e.

U = {1,2,3,4......9}

Hence, the universal set is the set of all natural numbers less than or equal to 9

We have:

A = {2, 3, 7, 5}

The elements of set A are prime numbers between 2 and 7 (inclusive)

Hence, the set A is the set of all prime numbers from 2 to 7

We have:

A = {2, 3, 7, 5}

B = {2, 6, 8, 4}

The elements of set A u B is all elements in both sets.

So, we have:

A u B = {2,3,4,5,6,7,8}

Hence, the set A u B is the set of all natural numbers from 2 to 8

We have:

A = {2, 3, 7, 5}

B = {2, 6, 8, 4}

The elements of set A n B is the common elements in both sets.

So, we have:

A n B = {2}

Hence, the set A n B is 2

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Answer:

117 megabytes

Step-by-step explanation:

Por regla de tres:

72 mb son a 8 mins

D mb son a 13 minutos

D = 13*72/8

D = 117 mb

Answer:

No

Step-by-step explanation:

Some rhombus doesn’t have all 90 degrees angles and that is an requirement for rectangles.

Answer:

24 is the LCM of 4,6,8. I think thats what your looking for.

Hope this helps!

Step-by-step explanation:

Answer:

"To interpret a graph or chart, read the title, look at the key, read the labels. Then study the graph to understand what it shows. Read the title of the graph or chart. The title tells what information is being displayed."

Step-by-step explanation:

Answer:

Step-by-step explanation:

Correct answer:

3√3

Explanation:

General formula for the diagonal of a cube if each side of the cube = s

Use Pythagorean Theorem to get the diagonal across the base:

s2 + s2 = h2

And again use Pythagorean Theorem to get cube’s diagonal, then solve for d:

h2 + s2 = d2

s2 + s2 + s2 = d2

3 * s2 = d2

d = √ (3 * s2) = s √3

So, if s = 3 then the answer is 3√3

Using the percentage concept, it is found that 19% of the 7th graders in the School of Rock play keyboard.

The percentage of an amount a relative to another amount b is given by:

[tex]P = 100\frac{a}{b}[/tex]

From the table given:

Then

[tex]P = 100\frac{a}{b} = 100\frac{10}{52} = 19[/tex]

19% of the 7th graders in the School of Rock play keyboard.

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Answer:

The answer is C

Step-by-step explanation:

Answer:

it would be C

Step-by-step explanation:

Answer:

C:6

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Lets solve for x:

We know the ratio is 1:3

1x+3x = 52

4x = 52

x = 13

Since the ratio is 1:3:

13(3) = 39

13:39

Which makes 39 the larger number

Using an exponential function, it is found that it will take 31.7 years for the state's population to be of at least 30 million people.

An increasing exponential function is given by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem:

Then:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 16(1 + 0.02)^t[/tex]

[tex]A(t) = 16(1.02)^t[/tex]

It will be 30 million after t years, for which A(t) = 30, hence:

[tex]A(t) = 16(1.02)^t[/tex]

[tex]30 = 16(1.02)^t[/tex]

[tex](1.02)^t = \frac{30}{16}[/tex]

[tex](1.02)^t = 1.875[/tex]

[tex]\log{(1.02)^t} = \log{1.875}[/tex]

[tex]t\log{1.02} = \log{1.875}[/tex]

[tex]t = \frac{\log{1.875}}{\log{1.02}}[/tex]

[tex]t = 31.7[/tex]

It will take 31.7 years for the state's population to be of at least 30 million people.

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Answer: 21

Step-by-step explanation:

[tex]z+15=?\\[/tex]

Substitute the value of z into the expression:

[tex](6)+15=21[/tex]

Answer:

21

Step-by-step explanation:

have a good day

Answer:

0.01

Step-by-step explanation:

your welcome :D have a good day pls mark me with the crown (whatever its called lol)

Answer:

10x greater

Step-by-step explanation:

Two friends let’s say their names are

Molly                         Polly

130 points                  83 points

Molly‘s 3 in her 130 is is the tens place  

here a chart:     ones    Tens.        Hundreds.     thousands.  

                         1265      1265.         1265.              1265

now let’s go back to Molly and Polly. The 3 in 130 is one place above the 3 in 83 and this ,my friend, technically means it is only 10x greater

hope this helped :3

:3 byeeeeeeeeee

Answer:

60

Step-by-step explanation:

9/15 = 0.60

0.60 * 100 = 60

60 skittles are in the bag

Total number of people = 364

Number of people in 1 van = 12

Number of vans required = ?

Number of vans required = 364 / 12

= 30.33

But there's a remainder, so for the remaining few people to go you'll need an extra van. So, you need 31 vans.

=》Answer = option C. 31

______

RainbowSalt2222 ☔

you take each other you do multiplication and you have answer

Answer:

{-11,17}

Step-by-step explanation:

|X – 3|= 14

There are  two solutions to an absolute value, one positive and one negative

x-3 = 14    and x-3 = -14

Add 3 to all sides

x-3+3 =14+3         x-3+3 = -14+3

x = 17                     x = -11

x = {-11,17}

Answer:

y= (10*x)+5.5

Step-by-step explanation:

B)

Answer:

y = 10x + 5.5

Step-by-step explanation:

We can write our equation in slope-intercept form, which looks like y = mx + b. "m" is our growth rate, and "b" is our y-intercept, or starting value.

So, let's fill in "m" first. What is our growth rate? Well, 10 inches per year. So, we can replace "m" with 10: y = 10x + b. But we have to figure out which number to replace "b" with. In this scenario, Sofia planted the maple tree when it was already 5.5 inches tall. So, when it grows 10 inches per year, the inches are being added to that original value. 5.5 is our starting value: y = 10x + 5.5. And that's our final equation.

Hopefully that's helpful! :)

Answer: the answer should be x>-12

Step-by-step explanation:

3+x>-9

x>-9-3

X>-12

4(2+y)2y-z when x=2 and y=4

4(2+4)2×4-z

4(6)(8-z)

(4×6)(-8z)

24-8z

z=24÷8

8/3

Therefore 8/3 is last answer .

The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [4(2 + y)] / (2y - x)

The value of the expression at x = 2 and y = 4 will be given as,

⇒ [4(2 + 4)] / [2(4) - 2]

Simplify the equation, then we have

⇒ (4 × 6) / (8 - 2)

⇒ 24 / 6

⇒ 4

The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.

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Answer:

Option 4: y = 5x - 1

Step-by-step explanation:

The slope, or rate of change, represents the ratio of the vertical change (in y) to the horizontal change (in x) of points along the line. Thus, the slope is a means of measuring the steepness of a given line.

Generally speaking, slopes with higher values tend to have steeper lines.

In comparing the slopes of the given options:

Option 1: slope = -2

Option 2: [tex]\LARGE\mathsf{slope = -\frac {5}{4}}[/tex] or 1.25

Option 3: slope = 1

Option 4: slope = 5

Option 4 has the highest slope of 5. Therefore, the graph of y = 5x - 1 has the steepest line.  

Attached is the graphed equations to prove that the graph of the equation in Option 4 has the steepest line.    

Peter watches 805 American movies and 460 Chinese movies.

Let x represent the number of American movies and y represent the number of Chinese movies and let z represent the total number of movies.

Since he watches 345 more American movies than Chinese movies. Hence:

x = y + 345

x - y = 345    (1)

Also:

x + y = z

x + y - z = 0  (2)

The ratio of Chinese movies to American movies is 4:7. Hence:

(4/11)z = y

-y + (4/11)z = 0   (3)

Solving equations 1, 2, and 3, simultaneously gives:

x = 805, y = 460 and z = 1265

Hence, Peter watches 805 American movies and 460 Chinese movies.

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