3 times the sum of one third of a number and 8 is 11

Answer:

Step-by-step explanation:

Step one:

given data

total ounces=500,000

cost per ounce= $460

total amount of the ounce= 500,000*460= $230000000

Time t=3years

rate= 5.17%= 0.0517

Step two:

The inflation we have a compounding effect on the amount

$230000000

A=P(1+r)^t

A=230000000(1+0.0517)^3

A=230000000(1.0517)^3

A=230000000*1.1632

A=$267,536,000

They will receive a total of  $267,536,000

Answer:

The total earnings for a wage of 6 per hour, an average work week of 8 hours, and working a total of 521 weeks (10 year) per year is:

$48.00 per week

or $25,008.00 per year

But to figure out how much the wage is being increased by 5.5% you would add 5.5% to the salary per year so 25,008.00 + 1,375.44= 26,383.44

Answer:

1.197 * 10^3 lbs

Step-by-step explanation:

3.8 * 10.5 = 39.9 lbs each

Now, we multiply 39.9 by 30, which is 1197 lbs in total

In scientific notation, 1197 is 1.197 * 10^3

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Answer:

114 × 10 ^ 5

Step-by-step explanation:

30: Number of whales

380,000: weight of each whale

30 × 38,000 = 11,400,000 total weight

Scentific notation: Expressing large numbers in a smaller way so

114 × 10 exp 5

Answer:

14:16

Step-by-step explanation:

Answer:

8:7 or 8/7

Step-by-step explanation:

Ratios work the same as fraction because they can also be written as fractions therefore, the ratio 16:14 can also be written as 8:7 or 8/7

Let the figure number be x.

Then the equation will be:

3x

There will be 3x circles in the figure number x.

So, number of circles in 50th figure will be

= 3(50)

= 3 × 50

= 150 circles

The number of circles in the 50th figure is 150 circles.

A sequence in mathematics is a ordered set of objects or numbers which are related with something.

For example, 1, 3, 5, ..... is a sequence of odd numbers.

Here a pattern is shown in the form of the circles.

In the Figure 1, there are 3 circles.

In the figure 2, there are 6 circles.

In the figure 3, there are 9 circles.

It is clear that the pattern is in such a way that 3 circles are increasing to each succeeding figure.

So for the nth figure,

Number of circles will be 3n.

So for 50th figure, number of circles = 3 × 50 = 150 circles

Hence the number of circles in the 50th figure is 150.

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Answer:

1/3 or 2/6

Step-by-step explanation:

hope this helps :)

Answer:

Kinda cheesy:)

Step-by-step explanation:

If you what to give 2 friends candy and all you have is 8 pieces of candy, each friend will get 4 pieces of candy.

Answer:

The slope is [tex]\frac{1}{-2}[/tex]

Step-by-step explanation:

Hope this helps, and it will also be, in longer & greater terms: [tex]y= \frac{1}{-2}x + 2[/tex].

I hope my answer is also correct.

Answer:

-1/2

Step-by-step explanation:

The answer is -1/2 because of rise over run.

A mnemonic for remembering that the slope of a non-vertical line is the ratio of the amount it rises over some interval, over the length of that interval.

Answer:

8

Step-by-step explanation:

Answer: -4,3

Step-by-step explanation: When you find slope of two points you do the change of y over x. Which basically means you subtract x and subtract y. Both values. -10-(-6) 10-7. -4,3.

Answer:

179.59 m³

Step-by-step explanation:

Formula for sphere volume: V=4/3πr^3

Answer:

Lets call the calories in one cup 'x'

so (3/4)x=90

Solving for x:

x=(90)/(3/4)

x=120

Now for 4 cups:

(4)(120)=?

480 calories in 4 cups of cereal

Answer: 480.

Step-by-step explanation:

3/4=90 so 1/4=30 so 30x4 is 120. 120=4/4=1 cup. 4 cups is 120x4=480, have a good day :D

Answer:

1/3

Step-by-step explanation:

Area of a triangle = 1/2 x base x height.

Area of the shown triangle = 1/2 x 9 x 6 = 27 square inches.

Area of blue square = 3 x 3 = 9 square inches.

The probability of being in the blue are of the triangle = 9/27 which reduces to 1/3

Answer:

4

Step-by-step explanation:

Answer: 90

Step-by-step explanation:

Option D is correct, the region above of the line y=x/2-3 that we can write as  y>x/2-3

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We know by reading the exercise that the company estimates same day delivery as a region of the miles.

y>x/2-3

We need to represent this region in a graph.

One way is to find the graph of y=x/2-3

This line will divide the plane into two regions. Then, using any point that verifies the original equation  we can find the graph.

y=x/2-3

If x=0

y=-3

The point (0, -3)  is the interception of the line with y-axis.

Now if y=0

0=x/2-3

3=x/2

6=x

The point (6, 0) is the interception of the line with x-axis.

We know that  y>x/2-3 will be the region above of or below of the line y=x/2-3

Now using an arbitrary point (0,0), for example  and replacing in the expression :

0>-3

The point  (0, 0) verifies the expression. Therefore, this point belongs to the region.

Finally, we conclude that the region is the region above of the line y=x/2-3 that we can write as  y>x/2-3 and the correct option is D.

Hence , option D is correct, the region above of the line y=x/2-3 that we can write as  y>x/2-3

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\THE ANSWER IS 2 I WAS FIRST

Answer:

120 mL of 10% HCL will be used.

Step-by-step explanation:

to solve this, we have to generate an equation for the mixture, to get the volume of 10% HCl needed.

Let the volume needed = x

5% of x + (20% of 60ml) = 10% of ( 60 + x) ml of new mixture

0.05x + (0.2 × 60) = 0.1 × (60 + x)

0.05x + 12 = 6 + 0.1x

12 - 6 = 0.1x - 0.05x

6 = 0.05x

x = 6 ÷ 0.05

x = 120

Therefore, 120 mL of 10% HCL will be used.

Answer:

6.4 seconds

Step-by-step explanation:

you subtract roses time by Amys time to find the difference.

Answer:

the answer is 143°

Step-by-step explanation:

120 - (-23) = 143

The difference between the highest and the lowest temperature will be 143 Fahrenheit.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the highest and lowest recorded temperatures for the state of Texas are 120°F and -23°F.

The difference will be calculated by forming the equation below:-

Difference  = 120 - ( -23 )

Difference  = 120 + 23

Difference  = 143

Therefore, the difference between the highest and the lowest temperature will be 143 Fahrenheit.

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Answer:

[tex]r = \±\sqrt{14[/tex]

[tex]Product = -14[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2x} = \frac{r - x}{7}[/tex]

Required

Find all product of real values that satisfy the equation

[tex]\frac{1}{2x} = \frac{r - x}{7}[/tex]

Cross multiply:

[tex]2x(r - x) = 7 * 1[/tex]

[tex]2xr - 2x^2 = 7[/tex]

Subtract 7 from both sides

[tex]2xr - 2x^2 -7= 7 -7[/tex]

[tex]2xr - 2x^2 -7= 0[/tex]

Reorder

[tex]- 2x^2+ 2xr -7= 0[/tex]

Multiply through by -1

[tex]2x^2 - 2xr +7= 0[/tex]

The above represents a quadratic equation and as such could take either of the following conditions.

(1) No real roots:

This possibility does not apply in this case as such, would not be considered.

(2) One real root

This is true if

[tex]b^2 - 4ac = 0[/tex]

For a quadratic equation

[tex]ax^2 + bx + c = 0[/tex]

By comparison with [tex]2x^2 - 2xr +7= 0[/tex]

[tex]a = 2[/tex]

[tex]b = -2r[/tex]

[tex]c =7[/tex]

Substitute these values in [tex]b^2 - 4ac = 0[/tex]

[tex](-2r)^2 - 4 * 2 * 7 = 0[/tex]

[tex]4r^2 - 56 = 0[/tex]

Add 56 to both sides

[tex]4r^2 - 56 + 56= 0 + 56[/tex]

[tex]4r^2 = 56[/tex]

Divide through by 4

[tex]r^2 = 14[/tex]

Take square roots

[tex]\sqrt{r^2} = \±\sqrt{14[/tex]

[tex]r = \±\sqrt{14[/tex]

Hence, the possible values of r are:

[tex]\sqrt{14[/tex] or [tex]-\sqrt{14[/tex]

and the product is:

[tex]Product = \sqrt{14} * -\sqrt{14}[/tex]

[tex]Product = -14[/tex]

Answer:

78.4

Step-by-step explanation:

You add them all up and divide by however many numbers there are.

Answer:

78.4

Step-by-step explanation:

To find the mean of something, you need to add all the values together, then divide the sum by the number of numbers there are.

The sum of all the numbers is 784, and there are 10 numbers.

So, the equation you need to solve is:

784 / 10 = ?

This equals 78.4, so the mean is 78.4.

Answer:

22.6°

Step-by-step explanation:

Reference angle = <FDE

Side opposite to <FDE = 5

Hypotenuse = 13

The trigonometric ratios to apply is:

[tex] sin(\theta) = \frac{opp}{hyp} [/tex]

Plug in the values

[tex] sin(\angle FDE) = \frac{5}{13} [/tex]

[tex] sin(\angle FDE) = 0.3846 [/tex]

[tex] \angle FDE = sin^{-1}(0.3846) [/tex]

[tex] \angle FDE = 22.6 [/tex] (nearest tenth)

Answer:

111.9 units

Step-by-step explanation:

Area of semicircle: 1/2(πr^2)

r = 3

1/2(π(3)^2)

33.92920065

Area of Rectangle: w * l

l = 13

w = 3(2)

13 * 3(2) = 13 * 6 = 78

Total:

78 + 33.9 = 111.9 units

Answer:

Step-by-step explanation:

total area = rectangle + semicircle

                = (13 x 6) + (1/2 π 3²)

                = 78 + 14.1

                = 92.1

Answer:

im guessing c. I got 5.833333333

Step-by-step explanation:

Answer:

Mixed number: 5 5/6. Decimal 5.8333333.

Step-by-step explanation:

3 1/2 x 1 2/3

(3 x 2) + 1 = 7/2

(1 x 3) + 2 = 5/3

7/2 x 5/3 = 35/6

35 ÷ 6 = 5 5/6.

So its C.

Answer

y=4x-8

Step-by-step explanation:

m = 4

y- 12 = 4(x-5)

simplify and keep it in point-slop form

y=4x-8

Answer:

Triangle A has one right angle

Step-by-step explanation:

a triangle can only have one right angle in it

this angle can be symbolized by the little square thing you see in the corner of the first picture

Answer:

new york

Step-by-step explanation:

it has the highest number

Answer:

1. 13

2. 18

If I'm wrong please let me know