Paul has 7 piles of sports cards. There are3 basketball. football. and4 baseball cards in each pile. How many total sports cards does Paul have?

First of all remeber that "a number" means we don't know the number or it could be many but not all numbers, so it is represented by x.

5. 1/2x + 6 > 20

6. 12 + 3x < -11  (They asked for the opposite of 11, the opposite of a positive number is always the negative of that number, and the opposite of a negative number is the positive of that number).

7. 2x - 8 < 5

Answers:

5) 1/2n + 6 > 20

6) 12 + 3n < -11

7) 2x - 8 < 5

Hope this helps :-)

Contractors charge fencing, in general, by the foot. So the most appropriate quote will be 22 feet.

it would be more benifical to the contractor if Godaris told the contractor 22.17 feet

38a) $10.50 To get this answer, you need to multiply $1.50 by 7

38b) $25.50 To get this answer, you need to subtract $10.50 from $36

40) The answer would be $13.7694 and it could be rounded to $13.77. To get this answer .you need to multiply $12.99 by 1.06 since it has a 6% sales tax.

Answer:

Option D is the answer.

Step-by-step explanation:

The circle given on the graph has the center at origin (0, 0).

We have to find the point (2, √6) lies on the circle or not.

If the point lie on the circle then distance of this point from origin = radius of the circle.

Given from the graph radius = 3 units

Now distance of point (2, √6) from (0, 0) = [tex]\sqrt{(2-0)^{2}+(\sqrt{6}-0)^{2}} =\sqrt{4 + 6}=\sqrt{10}=3.16[/tex]

Distance between the point and origin is more than radius 3 units.

Therefore point doesn't lie on the circle.

Option D is the answer.

By dividing the total amount of $96.15 by the cost of one T-shirt at $13.75, you can estimate buying approximately 7 T-shirts. You round down to the nearest whole number, so you can purchase 7 T-shirts.

To estimate the number of T-shirts you can buy with $96.15, when each T-shirt costs $13.75, you first divide the total amount of money earned by the cost of one T-shirt.

$96.15 ÷ $13.75 = approximately 7 T-shirts

Since you can't buy a fraction of a T-shirt, you will round down to the nearest whole number. Therefore, you can purchase 7 T-shirts with $96.15, assuming there is no sales tax or additional costs.

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-41 1/10 or -41.1; Since he is already 32 1/2 below the surface then if he descends another 8 3/5, that means he is going deeper. For tyou can subtract.

-32 1/2 - 8 3/5

-40 (whole number)

1/2-3/5

-5/10-6/10 (multiplied to GCF of 10)

-11/10 or -1.1 (fraction)

-41 1/10 or -41.1

Answer:

4/11

Step-by-step explanation:

If we draw the diagonals of the octagonal gazebo, the 4 diagonals divide the octagon into 8 triangles.

Note that each triangle is an isosceles triangle whose equal sides are x, the radius of the circle.

The top angle of each triangle is obtained by dividing the full angle by 8.

So, each top angle = [tex]\frac{360}{8}[/tex]

= 45°

Now, in fig., consider one of the triangles Δ OAB. Draw an altitude OC from O to the opposite side AB.

This altitude OC bisects the top angle 45°.

Therefore, ∠ AOC = 22.5°.

Now, in Δ AOC,

[tex]sin 22.5=\frac{AC}{OA}[/tex]

[tex]=\frac{AC}{x}[/tex]

So, AC = x sin 22.5°

Note that, AB = 2 AC.

Therefore, AB = 2x sin 22.5°.

Also, [tex]cos 22.5=\frac{OC}{OA}[/tex]

[tex]=\frac{OC}{x}[/tex]

So, OC = x cos 22.5°.

Area of Δ AOB = [tex]\frac{1}{2}(AB)(OC)[/tex]

= [tex]\frac{1}{2}[/tex] × (2x sin 22.5°) × (x cos 22.5°)

= [tex]\frac{1}{2} x^{2}[/tex] (2 sin 22.5° cos 22.5°)

= [tex]\frac{1}{2} x^{2}[/tex] sin 45°

= [tex]x^{2}[/tex] / [tex]2\sqrt{2}[/tex]

Area of the octagonal gazebo = 8 × one triangular area

= 8 × ([tex]x^{2}[/tex] / [tex]2\sqrt{2}[/tex])

[tex]=2\sqrt{2} x^{2}[/tex]

[tex]=2.828x^{2}[/tex]

Area required for mulch = circular area - area of the gazebo

[tex]=3.14x^{2} -2.828x^{2}[/tex]

[tex]=0.312x^{2}[/tex]

Now, cost per unit area = $1.50.

Hence, total cost g(m) = area × cost per unit area

Total cost g(m) = [tex]0.312x^{2}[/tex] × 1.5

[tex]=0.468x^{2}[/tex]

Hence, total cost g(m) = [tex]0.468x^{2}[/tex].

Answer:

1.50(piexsqared-2root2xsqared) or on edge A

Step-by-step explanation:

i just did it

The slope of a line from the given graph is -2/3. Therefore, option B is the correct answer.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

From the given graph,

Slope (m) = Rise/Run

= -1/1.5

Multiply both numerator and denominator by 2, we get

= -2/3

Therefore, option B is the correct answer.

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The different forms you can convert 6 2/3 to would be 20/3 and 6.6 but I'd have to say 20/3 would be the simplest form to convert it to. Hope this helps <3

20/3 thats the exact form

x² + 3x + 2 = (x + 2)(x + 1)

consider the factors of the constant term ( + 2 ) which sum to give the coefficient of the x- term ( + 3)

These are + 2 and + 1

x² + 3x + 2 = (x + 2 )(x + 1)

SOLUTION: The measure of angle 1 is five less than four times the measure of angle 2. If angle 1 are two form a linear pair, what are their measures. Question 345899: The measure of angle 1 is five less than four times the measure of angle 2. If angle 1 are two form a linear pair, what are their measures.

0.0365 is the standard form for this

Answer:

(1+2i)(1-2i)

Step-by-step explanation:

Answer:

(1+2i)(1-2i)

Step-by-step explanation:

Following are the pairs of the complex number:

(1+2i)(8i),

(1 + 2i)(2 – 5i)

(1+2i)(1-2i) and (1+2i)(4i)

We have to check which pair out of these is a real number product, which means which pair do not contain terms consisting of "i".

A. [tex](1+2i)(8i)= 8i+16i^{2}[/tex]

                        =[tex]8i-16[/tex]

B. [tex](1+2i)(2-5i)=2-i-10i^{2}[/tex]

                           =[tex]12-i[/tex]

C. [tex](1+2i)(1-2i)=1^{2}-4i^{2}[/tex]

                          =[tex]5[/tex]

D. [tex](1+2i)(4i)=4i+8i^{2}[/tex]

                        =[tex]4i-8[/tex]

Since, A,B,D contains the term "i" which means they are not real valued, therefore option C that is (1+2i)(1-2i) has a real number product.

Area of the horizontal rectangle.

A = L *W

L = 8cm

W = 3 cm

Area = 8 * 3 = 24 cm^2

Area of the Vertical Rectangle

The vertical rectangle has the same dimensions

L = 8 cm

W = 3 cm

Area = L * W

Area = 8 * 3

Area = 24 cm^2

Combined Area

Area = 24 + 24

Area = 48 cm^2  <<< Answer

Hey there!!

In order to solve for the area, let's divide this figure into two rectangles.

Area of a rectangle = Length × Breadth

First rectangle at the top - Length = 8 and width = 3

Hence, the area would be = 24cm²

The second triangle measures : Length = 3 and the width = 5

Area = 3 × 5

... 15cm²

Total area = 24cm² + 15cm²

... 24 + 15 cm²

... 39cm²

Hope my answer helps!!

Answer:

A. consume food

Step-by-step explanation:

The food they eat has energy. One eaten the energy the food had is passed along to the animal.

The missing numbers in the given unit rates are 4 and 3 respectively, obtained by dividing the numerator by the denominator.

To find the missing number in a unit rate, divide the numerator by the denominator. In your first example, 32 divided by 8 equals 4. Therefore, 32/8 = 4/1. Similarly, in your second example, 21 divided by 7 equals 3. Therefore, 21/7 = 3/1.

A unit rate is a ratio that compares two different measurements where the second term is 1. Here, 'unit' refers to 'one'. For example, if we say a car travel 60 miles in 2 hours, the unit rate would be 30 miles per hour.

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Answer should be 132

Answer:

2

Step-by-step explanation:2+2

The side lengths of a square in which the perimeter of a square is greater than its area is 1 unit, 2 units, and 3 units.

A square is a 2D figure of which all sides are equal.

We know that the perimeter of a square is the sum of the lengths of all the sides and the area of a square is (side)².

Assuming a square has a side length of 4 units.

Therefore the perimeter of the square is 4×side = 4×4 = 16 units.

Now the area of the square will be (4)² = 16 sq units.

Now assuming the side length of the square is 2 units.

The area of the square is (2)² = 4 units and the perimeter is (2×4) = 8 units.

∴ The side length which provides a counter-example is 2 units.

Basically, we have to determine the numbers that when multiplied by 4 are greater than it's square such numbers are 1, 2, 3.

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Answer:

1.990376 yards

Step-by-step explanation:

Answer:

1.82 meters = 1.9903762029746 yards

Step-by-step explanation:

To convert from meters to yards, you just need to multiply the value in meters by 1.0936132983377 (the conversion factor).

So, 1.82 meters = 1.82 × 1.0936132983377 = 1.9903762029746 yards.

See the attached picture:

Given equation: 3 + x/2 = 10

1st step subtract 3 from each side:

x/2 = 7

2nd step multiply both sides by 2:

x = 14

Step 1)        

3 + x/2 = 10 ..............This is given

Step 2)

x/2 = 7 ....................... Multiplication property of equality.

This step is wrong. This step is called "Subtraction property of equality". This means you have to subtract 3 from both sides

3 + x/2 - 3 = 10 - 3

Simplifying

x/ 2 = 7

Step 3)

x = 14 ....This is called "Multiplication property of equality" because you multiply both sides by 2.

Hope that helps.

Answer:

C) x also increases 5 times its original value

35/5=7

70/10=7

Step-by-step explanation:

you can do that on here

fraction-1/3

decimal- 0.3333333333333333333333333333333333333333333333333333333333333333333333

(they are equal)

-hope this helps

-i hope u get the 0.3 part it will never end its just that i since it never ends i can't but th e whole thing

-3x+4=-8

-3x=-12

x = 4

Total: 2p + 50 < 150

                 -50   -50

         2p          < 100

          [tex]\frac{2p}{2} < \frac{100}{2}[/tex]

            p < 50

Answer: 2p + 50 < 150    , p < 50

There is 1 solution, which is 3/4.

To show this, you actually have to solve the equation. First, you distribute -1 into(9 - 3h) and distribute -3 into (h + 2). In doing so, you should be left with "6h - 9 + 3h = 6 - 3h - 6". Next you combine like terms on each side, so you add 3h to 6h and you subtract 6 from 6. Now you should have "9h - 9 = -3h". Then, you start to solve by subtracting 9h from both sides. You should have -9 = -12h, which you divide -12 on both sides to get h by itself. Finally, you have h = 9/12 (since the negatives on the top and bottom cancel out) which simplified (divided by 3/3) is 3/4. Thus meaning there is only 1 answer.

I hope this helps!

If a right triangle has side lengths 6, 6.7 and 3, the hypotenuse is 6.7

Note that:

A right-angled triangle is a triangle that has one of its angles to be 90 degrees

The hypotenuse is the longest side of the tight-angled triangle

If two sides are given, the length of the third side is found using the Pythagoras theorem

The given side lengths are 6, 6.7, and 3

Out of all the three sides given, since 6.7 is greater than 6 and 3, 6.7 is the longest side

Therefore, the hypotenuse of the right-angled triangle with side lengths 6, 6.7, and 3 is 6.7

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Originally Dan has X amount of base ball cards.

So the equation would be

(x+6)/2=29

multiply both sides by 2

x+6=58

subtract 6

x=52

Check your work: 52+6=58/2=29

7/2=105/x

7x=210

X=30 students that walk

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

If there are 105 students who ride the bus.

The number of students who walk is 30 students.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The number of students who walk for every 7 students who ride the bus.

= 2 students

This can be written as,

2 students walking = 7 students on bus _____(1)

Number of students who ride the bus = 105

The number of students who walk.

From (1) we get,

2 students walking = 7 students on the bus

Multiply 15 on both sides.

15 x 2 students walking = 15 x 7 students on the bus

30 students walking = 105 students on the bus

This means that,

There are 30 students who walk if there are 105 students who ride the bus.

Thus,

If there are 105 students who ride the bus.

The number of students who walk is 30 students.

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