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Answer:

see explanation

Step-by-step explanation:

The area (A) of an equilateral triangle with side a is calculated as

A = [tex]\frac{a^2\sqrt{3} }{4}[/tex]

Answer:

the question is cut in half

Step-by-step explanation:

first geometric sequence

3^1, 3^2 ,3^3, 3^4,......

3, 9, 27, 81.......

second

5^1, 5^2, 5^3, 5^4,........

5, 25, 125, 625,........

third

2, 10, 18, 26,.....

which has the difference of 8

fourth

100, 90, 80, 70,......

Answer:

15 centimeters

Step-by-step explanation:

Ratio of Mr. Thompson rectangle = length : width

= 5 : 2

Audrey plans to draw a rectangle with a width of 6 centimeters.

Ratio of Audrey rectangle = length : width

= x centimeters : 6 centimeters

Equate the two ratios to find the value of x

5 : 2 = x : 6

Cross product

5 * 6 = 2 * x

30 = 2x

Divide both sides by 2

x = 30 / 2

= 15

x = 15 centimeters

Audrey's rectangle should have a length of 15 centimeters

Answer:

15

Step-by-step explanation:

Answer:

let the third proportion be x.

then 8,12 and x are in proportion

then 8:12=12:x

8x=12×12

x=144/8=18

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Let's call the past exam mark m,

m*105%=84

m*105/100=84

m=84/(105/100)

m=80

Hope this helps!

Answer:

80

Step-by-step explanation:

new value = 84

old value = n

can use percent change formula:  (new value - old value) / old value = 5/100

[tex]\frac{84-n}{n}[/tex] = [tex]\frac{5}{100}[/tex]

cross-multiply (you can simplify 5/100 to be 1/20 first):  20(84 - n) = n

1680 - 20n = n

1680 = 21n

n = 80

Answer:

Average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1

Step-by-step explanation:

We need to find average rate of change of f over the interval -1 < x < 1

The function given is: [tex]f(x)= x^2-x-1[/tex]

The formula used to find average rate of change is:

[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}[/tex]

We have, a = -1 and b = 1

Finding f(b) when b=1

[tex]f(x)=x^2-x-1\\f(1)=(1)^2-(1)-1\\f(1)=1-1-1\\f(1)=-1[/tex]

Now, finding f(a), when a= -1

[tex]f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1[/tex]

Now, putting values and finding average rate of change

[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1[/tex]

So, average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1

Answer:

1080

Step-by-step explanation:

if 10 percent are left handed that means that 90 percent are right handed

Answer:

120

Step-by-step explanation:

10%=0.1

1200*0.1=120

Step-by-step explanation:

y=-4/5x-2-1

y=-4/5x-3

y/4=5x-3

(y/4)-3 =5x

(y-12)/4=5x

The solution for y will be y = -4/5x-3

Numbers, symbols and operators grouped together that show the value of something.

Given an expression, 1+y=-4/5x-2

Solving for y, we get

1+y=-4/5x-2

y = -4/5x-2-1

y = -4/5x-3

Hence, The solution for y will be y = -4/5x-3

For more references on expression, click;

https://brainly.com/question/14083225

#SPJ2

Answer:

250%

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

-50n + 42

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

-8n - 7(6n - 6)

Step 2: Simplify

Answer:

Step-by-step explanation:

y2-y1=

x2-x1

2--4=6(negatives cancel out)

3-1=2

so 6/2 =3

3 is slope

Answer: are there choices?

Step-by-step explanation:

Answer:

She spent 19.82 in all

Step-by-step explanation:

I added them

Answer:

a

Step-by-step explanation:

The segment  RT is a perpendicular bisector and means Δ RSU is isosceles, then the 2 legs are congruent, that is

RS = RU , substitute values

8x = 6x + 5 ( subtract 6x from both sides )

2x = 5 ( divide both sides by 2 )

x = 2.5

Thus

RU = 6x + 5 = 6(2.5) + 5 = 15 + 5 = 20 → a

Answer:

Step-by-step explanation:

To change a decimal into a percent you multiply by 100.

If there is a fraction that you need to convert into a percent. Completely divide the fraction. 4/5 = 0.8 then multiply by 100 you get 80%. This means that 4 is 80% of 5

Answer:

how to get a percentage from a decimal is when you take the decimal point and move it twice to the left

Step-by-step explanation:

for example

.07 = 7%

does that make sense?

Answer:

[tex]a) \: y = \frac{4}{ {x}^{2} }[/tex]

[tex]b) \: x = \frac{2}{5} [/tex]

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

27.4%

Step-by-step explanation:

Step one:

given

original cost $69

seling price $52

Required

The percent reduction

Step two:

% reduction= change in price/original price*100

% reduction= 69-52/62*100

% reduction=17/62*100

% reduction= 0.274*100

% reduction= 27.4%

Answer:

y=20x75 is the answer

Step-by-step explanation:

You can basically eliminate other two choices since they are division

Answer:

[7]

[4]

[2]

Step-by-step explanation:

The first matrices has 3 rows and 3 columns.

The second matrices has 3 rows and 1 column.

Therefore, your result with have 3 rows and 1 column because the smaller row and column is used.

Solve:

[3 * 2 + 6 * 0 + 1 * 1] [7]

[2 * 2 + 0 * 0 + 0 * 1] = [4]

[0 * 2 + 6 * 0 + 2 * 1] [2]

Answer: D. 3

Step-by-step explanation:

3 times 3 equals 9 so the answer is 3

Answer:

The answer is 3.

Step-by-step explanation:

I took the quiz and got 100%

Answer:

0,1,2,3 is the domain

-2,1,2,4 is the range

Answer:

Using equivalent fractions, the time Matt takes to eat 1 pie is 1200/11 which is the same as [tex]109\frac{1}{11}[/tex] seconds

Step-by-step explanation:

The number of pies Matt eats = 2.75 pies

The time duration Matt eats 2.75 pies = 300 seconds

Mathematically, the time duration for Matt to eat one pie is given as follows;

The time to eat 2.75 pies = 300 seconds

Dividing both sides of the equation by 2.75 gives;

The time to eat 2.75/2.75 pie = 300/2.75 seconds

2.75/2.75 = 1, therefore, we have;

The time to eat 1 pie = 300/2.75 seconds

The equivalent fraction of 3000/2.75 = 1200/11

Therefore;

The time Matt takes to eat 1 pie = 1200/11 seconds

Answer:

option A, I guess .....

.

Answer:

c

Step-by-step explanation:

its in slope intercept form, or y=mx+b where b is the y intercept, i.e. how far down the line hits the y axis. m would be the slope but we dont need to worry about that for now. since b is the y intercept, -8 would mean 8 units down

Answer:

36,960

Step-by-step explanation:

multiply 5280 by 7

Answer:

$100

Step-by-step explanation:

From the question, we are given the following

Rental price of the truck

percentage off coupon = 50%

Required

Sale tax of the truck rental

Sale tax of the truck rental = 50% of the truck price

Sale tax of the truck rental = 50% of $200

Sale tax of the truck rental = 50/100 * 200

Sale tax of the truck rental = 0.5 * 200

Sale tax of the truck rental = $100

Hence the sale tax of the truck rental is $100

Answer:

[tex]200 + 0.07m \leq 230[/tex]

A maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.

Step-by-step explanation:

Given that:

Rent to be paid for the car in the weekend = $200

Charges to be paid per mile = $0.07

Total money available  with Divya = $230

To find:

The inequality as per her limitations and solution to the problem.

Solution:

Let the number of miles for which Divya can drive = [tex]m[/tex] miles

Charges for one mile = $0.07

Charges for [tex]m[/tex] miles = $0.07[tex]m[/tex]

Total charges for renting and [tex]m[/tex] miles = Rental charges + Operational charges

Total charges for renting and [tex]m[/tex] miles = $200 + $0.07[tex]m[/tex]

These are charges must be lesser than equal to the amount of money available with Divya.

Therefore, we can write:

[tex]200 + 0.07m \leq 230[/tex]

Subtracting 200 from both the sides:

[tex]0.07m \leq 30[/tex]

Dividing both sides with 0.07:

[tex]m \leq \dfrac{30}{0.07}\\m\leq 428.6[/tex]

Therefore, a maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.