Given that
3x : 10 = 5: 2
Calculate the value of x.
Give your answer in its simplest form.
X =

Answer:

0.143 tonnes

Step-by-step explanation:

1000 / 7 = 142.857143

= 143 kg

= 0.143t

Answer:

C

Step-by-step explanation:

First, let's work out the two triangles:

Area of triangle: bxh/2

2 x 8/2 = 8

Because there is two triangles multiply 8 by 2 = 16

To work out the area of the central rectangle:

Area of rectangle: l x w

3 x 8 = 24

Add 16+24 = 40 square feet

Answer:

Step-by-step explanation:

Exponential function has the form

Where a- initial value, b- growth rate

Find the growth rate b

The function is

Answer:

[tex]y = 175000 \cdot {1.025}^{x} [/tex]

Step-by-step explanation:

recall exponential function:

[tex]y = a \cdot {b}^{x} [/tex]

where:

Finding the exponential function:

firstly,It says In 2010 , Cornfield Farms produced 175,000 bushels of corn. It simply refers that, The initial value is 175,000, therefore,

secondly, It assers that Each year since 2010, their total corn harvest has increased by 2.5% over the previous year, thus

finally, just plug in the value of a and b into the function,

[tex]y = 175000 \cdot {1.025}^{x} [/tex]

and we're done!

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

Explanation:

The LCM of 3 and 5 is 3*5 = 15.

Every 15 days, the two people will swim together on the same day.

And so on.

Keep this process going of adding on 15 to find this sequence

1, 16, 31, 46, 61, 76, ...

We stop the sequence once we either reach 70 or go over it because there are 7*10 = 70 days in ten weeks. This assumes we use a 7 day week rather than a 5 day week.

As shown in bold, there are 5 items smaller than 70. So the two people swam together a total of 5 times

-----------------

Alternatively, you can solve 15n+1 = 70 for n to get n = 4.6 which rounds down to n = 4 to represent the set {0,1,2,3,4} which has 5 items in it to represent the five times total they swim together.

and so on until reaching n = 4 corresponding to day 15(4)+1 = 61.

If [tex]P(x) = x^2-4x+4[/tex]  and x =2

   --> [tex]P(2) = 2^2-4(2)+4=4-8+4=0[/tex]

Hope that helps!

Using the combination formula, it is found that your family could choose the desserts in 495 ways.

The order in which the desserts are chosen is not important, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 4 desserts are chosen from a set of 12, hence:

[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]

Your family could choose the desserts in 495 ways.

More can be learned about the combination formula at https://brainly.com/question/25821700

Answer:

Improper Fraction:
933/100

Mixed Number:
9 33/100

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

x=-1

Step-by-step explanation:

First we can square both sides to remove the square roots:

[tex](\sqrt{x+7})^{2} +(\sqrt{x+2})^{2} = (\sqrt{6x+13})^{2}[/tex]

Simplify:

[tex]x+7+x+2=6x+13[/tex]

Now we simplify further:

[tex]2x+9=6x+13[/tex]

Now we subtract 13 from both sides:

[tex]2x+9-13=6x+13-13[/tex]

Simplify:

[tex]2x-4=6x[/tex]

Subtract 2x from both sides:

[tex]2x-4-2x=6x-2x[/tex]

Simplify:

[tex]-4=4x[/tex]

Divide both sides by 4:

[tex]\frac{-4}{4} = \frac{4x}{4}[/tex]

Simplify:

-1=x

x=-1

The worth of the car after it is paid off 5 years later given the rate of exponential depreciation is $32,842.34.

When the car declines in value, it means that the car is depreciating. The formula that can be used to determine the value of the car with the depreciationn rate is:

FV = P (1 - r)^n

$42,000 x (1 - 0.048)^5 = $32,842.34

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

Well I got your 1 mistake.

3 + 3 + 3 + 3 = 12 should be of diagram B not A.

hope it helps.......

Answer:

3/4

Step-by-step explanation:

You didn't simplify it it can go down to 3/4

Answer:

1. 5/12

2. 3/8

3. 1/4

Step-by-step explanation:

Answer:

C, D, and E are the answers.

Answer:

[tex]a^-^7[/tex]

Step-by-step explanation:

[tex]\frac{a^{-13}}{a^{-6}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]=a^{-13-\left(-6\right)}[/tex]

[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]

[tex]=a^{-13+6}[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-13+6=-7[/tex]

[tex]=a^{-7}[/tex]

Answer [tex]=a^{-7}[/tex]

~Learn with Lenvy~

Answer: 18

Step-by-step explanation:

        The least common denominator of [tex]\frac{7}{9}[/tex] and [tex]\frac{5}{6}[/tex] is going to be a multiple of 9 and 6. Let us list them out:

9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

6: 6, 12, 18, 24, 30, 36, 42, 28, 54, 60

        You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).

Answer: 0.45

........................

Answer:

$13.50

Step-by-step explanation:

if the total is $31.50, it is both the blouse and the skirt together, so uf you take away the blouse from the total ($31.50 - $18) then yiu are keft with the price of the skirt

Answer:

b is your answer to this question

The money lost due to a hard time for the company is $986.4.

Number of shares =45

Price per share =$63.12

So, the total cost of buying 45 shares = 45*63.12 = $2840.4

Total selling price when the company falls on hard times and you end up selling the stock for $41.20 per share = 41.20*45 = $1854

Mathematically, the loss is the difference between the cost price and the selling price.

Difference between the selling price and the cost price = 2840.4 - 1854

So, the difference between the selling price and the cost price = $986.4

Therefore, The money lost due to a hard time for the company is $986.4.

To get more about profit and loss visit:

https://brainly.com/question/19104371

Answer:

Step-by-step explanation:

A

Answer:

Graph the exponential function.

[tex]y=-3(8)^{x}[/tex]

Step-by-step explanation:

to make a sketch of this graph. We're gonna make a table of values. I think that's probably our best route. So we'll do a couple negative values, but I'm gonna actually start at 08 to 0. Power zero. And I'm sorry. 80 parts one and one times negative. Three is negative. Three eight to the first. Power is eight and eight times negative. Three is negative. 24 8 X squared is 64 64 times negative. Three is on negative. 192. Okay, I think that's plenty. E to the negative. First power is 18 and 1/8 times negative. Three is negative. 3/8 and eight to the negative. To power is 1 64th times negative. Three is negative. 3 60 force. Okay, I think we can see where that's going. Is getting really close to zero. So as faras my graph here, I'm gonna focus on the fourth quadrant, I think. All right. So we got our X and y axis here. We're starting at 01 and to and we'll also do negative one. And negative two aren't horizontally, vertically. I do. I want to scale this whole the way to 1 92 I guess I will. Um, so whatever it is scaled by, maybe twenties. Yeah, let's do that. 20 40 60 8120 40 60 8200. So there's negative. 200? Um, negative. 1 80 Negative 1 60? Nope. That's not right. Because I scaled by twenties didn't. So this is actually negative. 1 60 This one's negative. 1 20 This one's negative. 80. And this is negative. 40. There we go. All right now a plot. These points to negative 1 92 is practically to 200 one. Negative. 24 is all the way over here. Zero negative three is practically on the X axis The way I have this, and same with those fractional values. They're practically on the X axis. So let's start almost parallel to the X axis because it's never actually touch step than its we don't ever. Slowly and then it starts going down rapidly, decreasing in value to the point where it's almost vertical, but it never will get vertical, so there's a decent sketch of y equals negative three times eight to the power of acts

Answer:

N = 9

Step-by-step explanation:

N^2 = 81

NxN = 81

N = 9 because 81/9 = 9 and if you don't trust me use a calculator

Answer:

Step-by-step explanation:

I believe that x is equal to 6. x=6

Answer:

First Number: 2

Step-by-step explanation:

You need to work backwards, as an algebraic equation.

24 ÷ 3 = 8

8 ÷ 2 = 4

4 × 2 = 8

8 - 6 = 2

The first number is 2.

- Educationist

Answer:

One above me is correct 100% :)

Step-by-step explanation:

Answer:

x = 12.05

Step-by-step explanation:

Given:

15x=180.75

Divide both sides by 15

15x             180.75

------  =         --------

15                   15

x = 12.05

Hence, x = 12.05

~lenvy~

Answer:

12.05

Step-by-step explanation:

Divide both sides by the same term

15x/15 = 180.75/15

180.75/15

= 12.05

Hence, x = 12.05

Check Answer:

15(12.05) = 180.75

[RevyBreeze]

[tex]-\frac{62}{9}[/tex]

The properties of equality state that you are allowed to perform operations on an equation as long as the operations are done equally on both sides.

Solving the Equation

First, rewrite the equation

Next, apply the addition property of equality and add 17 to both sides

Finally, apply the division property of equality and divide both sides by -18

Then, simplify for the final answer (divide numerator and denominator by 2)

Yes it does include the test point (0, 0)

switch sides

Multiply both sides by -1 reverses the inequality

Thus, the following (0, 0) comes under the following x > -5/3 and y > -5