How many termites fit on a meter stick

I am once again asking the mathematical geniuses of the world to solve a rather simple problem that my small brain can't compreh

Nitella [24]

Ooh ok these are fun. So these triangles are similar, meaning they are in proportion. In triangle LMN, line LM is 21. To find the corresponding line on the other triangle, we need to find the corresponding letters in the names. Because L and M are the first two letters, we need to use the first two letter s in the other name, so FG. Line FG is 9, so our first proportion is 9/21

6 0

3 years ago

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3(3−3)=2(+3)−30 how do I do this???? I'm in 10th grade and this confuses me every time.

astra-53 [7]

Well when you simplify it you get this,

0=-24,

Do what’s inside the parentheses first

3-3 is 0, 3•0 is 0

2•positive 3 is 6

6- -30 is -24

So you have 0=-24

Or just -24 :)

4 0

2 years ago

decided to purchase a new Toyota 4Runner for $25,635. you have promised your daughter that the SUV will be hers when the car is

Stella [2.4K]

Answer:

y = -3000x + 25,635

Step-by-step explanation:

well if the inital value of the car is $25,635 this means that when

x = 0 y = 25,635

(0 , 25635)

this will be our first point

Now if you tell us that in 1 year depreciate in value $3,000

this means thaw when

x = 1 y = 25,635 - 3,000

x = 1 y = 22,635

(1, 22635)

Now that we have 2 points we can have the equation

First we take the slope as follows

m = (y2 - y1) / (x2 - x1)

m = (22,635 - 25,635) / (1 - 0)

m = -3000 / 1

m = -3000

after calculating the slope we have to replace it in the following formula

(y - y1) = m (x - x1)

y - 25,635 = -3000 ( x - 0)

y - 25,635 = -3000x

y = -3000x + 25,635

Finally we replace the value of y by 10000

10,000 = -3000x + 25,635

10,000 - 25,635 = -3000x

-15,635 = -3000x

-15,635/-3000 = x

5.21167 = x years

These are the years it would take for the value to be 10,000

to know the days we simply multiply by 365

5.21167 * 365 = 1902.26 days

4 0

3 years ago

Look at the image for the problem :)

8_murik_8 [283]

Answer:

$\displaystyle V = 28 \pi \ ft^3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Volume of a Cylinder Formula: $\displaystyle V = \pi r^2h$

V is volume
r is radius
h is height

Step-by-step explanation:

Step 1: Define

Radius r = 2 ft

Height h = 7 ft

Step 2: Solve for V

Substitute in variables [Volume of a Cylinder Formula]: $\displaystyle V = \pi (2 \ ft)^2(7 \ ft)$
[Volume] Evaluate exponents: $\displaystyle V = \pi (4 \ ft^2)(7 \ ft)$
[Volume] Multiply: $\displaystyle V = 28 \pi \ ft^3$

5 0

3 years ago

Countering a cost $9.40 per sales tax. After sales tax, it cost $9.87. What is the sales tax rate?

Nady [450]

STEP 1:
find the sales tax (decimal form)

x= sales tax

Cost + (Cost * Sales Tax)= Total
plug in known numbers

$9.40 + ($9.40 * x)= $9.87

9.40 + 9.40x= 9.87
subtract 9.40 from both sides

9.40x= 0.47
divide both sides by 9.40

x= 0.47/9.40

x= 0.05 sales tax decimal form

STEP 2:
find sales tax percentage

= 0.05 * 100
or move decimal to the right two decimal places

= 5% sales tax percent form

ANSWER: The sales tax is 5% (or 0.05 in decimal form)

Hope this helps! :)

6 0

3 years ago

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