Answer:
[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to solve for x in the given equation.}[/tex]
[tex]\large\underline{\textsf{What are Equations?}}[/tex]
[tex]\textsf{Equations are statements that determine 2 or more expressions are equal.}[/tex]
[tex]\underline{\textsf{This means that;}}[/tex]
[tex]\tt \frac{8 \frac{1}{3} }{x} \ is \ equal \ to \ \frac{2 \frac{1}{3} }{8.1}[/tex]
[tex]\textsf{For equations, rather \underline{proportions} such as these, we should \underline{Cross Multiply}.}[/tex]
[tex]\large\underline{\textsf{What are Proportions?}}[/tex]
[tex]\textsf{Proportions are comparisons to the size, and how large/small a value is.}[/tex]
[tex]\large\underline{\textsf{What is the Cross Multiplying?}}[/tex]
[tex]\textsf{Cross multiplying is indeed as simple as it sounds, basically multiply the oppsite}[/tex]
[tex]\textsf{known value by another known value, then divide the product by last known}[/tex]
[tex]\textsf{number. This sounds like a lot, but I'll give an example.}[/tex]
[tex]\underline{\textsf{Example;}}[/tex]
[tex]\tt \frac{1}{3} = \frac{2}{x}[/tex]
[tex]\textsf{We are asked to find x in the given proportion. We should use the cross}[/tex]
[tex]\textsf{multiplication method. Note that we should multiply the known values that are}[/tex]
[tex]\textsf{on opposite sides, and leave the known value with x as its opposite value alone}[/tex]
[tex]\textsf{until we have our product.}[/tex]
[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x}[/tex]
[tex]\textsf{3 and 2 are opposite from each other, hence we'll multiply them.}[/tex]
[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x} \rightarrow \frac{6}{1} = x[/tex]
[tex]\textsf{We'll divide by the last remaining known value, 1, then that should be the value}[/tex]
[tex]\textsf{of x.}[/tex]
[tex]\tt x = 6[/tex]
[tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\textsf{Use the Cross Multiplication Method.}[/tex]
[tex]\tt \frac{8 \frac{1}{3} }{x} = \frac{2 \frac{1}{3} }{8.1}[/tex]
[tex]\tt 8 \frac{1}{3} \ \textsf{and} \ \tt 8.1 \ \textsf{are opposite from each other, which means we will multiply those}[/tex]
[tex]\textsf{values together.}[/tex]
[tex]\tt \frac{ \small\boxed{\tt 8 \frac{1}{3}} }{x} = \frac{2 \frac{1}{3} }{\small\boxed{\tt 8.1}} \rightarrow 67.5.[/tex]
[tex]\textsf{Our product is 67.5, which means we are ready to divide 67.5 by 2} \tt \frac{1}{3} .[/tex]
[tex]\tt x = \frac{67.5}{2 \frac{1}{3} }[/tex]
[tex]\textsf{This quotient is going to be irrational, hence I will round to 7 digits.}[/tex]
[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]
if 6 people share 56 gummy worms equally how many did each person get
Step-by-step explanation:
Each will get 9 but 2 will remain
5.3333...
help me with geometry please
Answer:
44
Step-by-step explanation:
angle a is congruent with d so they have the same angle
Simplify to a single power of 4:
Answer:
[tex]4^8[/tex]
Step-by-step explanation:
Formula: [tex](a^b)^c = a^{bc}[/tex]
Solve:
[tex](4^2)^4[/tex][tex]4^{2*4}[/tex][tex]4^8[/tex]-Chetan K
Need the answer pls help
Answer:
A = (-4, -6)
B = (-2, -2)
C = (-6, -4)
Find the missing length of the longer leg in the
30° – 60° – 90° triangle.
short leg = 2
a 2v3
b7v2
с 67
d 475
Answer:
A) 2√3Step-by-step explanation:
Side ratios of 30°-60°-90° triangle:
a : b : c = 1 : √3 : 2Given:
a = 2Find b:
2 : b = 1 : √3b = 2*√3/1b = 2√3Correct choice is A
So
We know the ratio
x:y:z=30:60:90=1:√3:2Now
x=2
So
2:y=1:√3y=2√3And
2:z=1/2z=4Option A
Calculate the equation of the following line.
Answer:
point-slope form: [tex]y+1=\frac{-3}{2}(x-3)[/tex]
slope-intercept form: [tex]y=\frac{-3}{2} x+\frac{7}{2}[/tex]
Step-by-step explanation:
find the slope of the line using two points on the graph, and then you can get your equation in point-slope form. if you need it in slope-intercept form, you can re-arrange your point-slope form equation.
hope this helps :)
pls explain this to me I don't get it
Answer:
u divide all numbers by 1000
Step-by-step explanation:
Find the value of the variable x. If your answer is not an integer, write it in simplest radical form with
the denominator rationalized.
Answer:}}
ok so it has to be between 30 or 90 {9
Step-by-step explanation:
PLEASE I NEED HELPPPP
Answer:
A) (0,6)
Step-by-step explanation:
the y-intercept, if the equation is written in slope-intercept form (y=mx+b) is represented by the 'b' and will be written as an ordered pair with an x-value of zero
help!!!!!!!! pls!!!!!
Write the equation of the line in slope-intercept form.
the question is 80y and 8x
The equation of the line in slope-intercept form is
Answer:
Y =mx/10+c/80
Point(8x, 80y) lies on Y =mx +c
Robyn saves $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each.
Which answer gives the best estimate for the number of books Robyn can buy?
Answer: umm I think the best estimate would be$37.38
Step-by-step explanation:
In the figure shown below all angles are right angles are right angles and the side lengths given are in yards what is the area in square yards of the figure? Please explain to me im confuse I got 134 and it's wrong
Answer:
98
Step-by-step explanation:
4 * 2 = 8
9 * 10 = 90
90 + 8 = 98
Graph the line that passes through the points (0,-5) and (-5,_6)
Answer:
Step-by-step explanation:
First find the slope(m) between (0,-5) and (-5,-6)
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{-6-(-5)}{-5-0}[/tex] = [tex]\frac{-1}{-5}[/tex] = [tex]\frac{1}{5}[/tex]
y = [tex]\frac{1}{5}[/tex]x -5
I attached the graph. I used desmos.
Hope that helps!
Can anyone please help me with this? I need help really soon!
Answer:
(x,y)=(19/5,-6/5) I'm not sure it's right, but hopefully it is
If f(x) is a polynomial of degree 4, and g(x) is a polynomial of degree 2, then what is the degree of polynomial f(x) - g(x)?
Answer:
4
Step-by-step explanation:
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Is 1.24 a rational number?
Answer:
YES
Step-by-step explanation:
i) How do you find the sum of the angle measures of any convex polygon?
ii) If the polygon is regular, how do you find the measure of each interior angle in the polygon?
iii) How do you find the sum of the exterior angle measures of any convex polygon?
iv) If the polygon is regular, how do you find the measure of each exterior angle in the polygon?
Answer:
1) The sum of interior angles of a convex polygon is equal to (n-2) × 180°, where 'n' is the number of sides of the polygon.
2) A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.
4) Irrespective of the number of sides of a regular polygon, the measure of each exterior angle is equal and the sum of the measure of all the exterior angles of the regular polygon is equal to 360°.
Step-by-step explanation:
I hope this helps!!16.13.6 kilometers to 23.8 kilometers
Answer:
16.13.6km:23.8km
Step-by-step explanation:
Help me to answer this pls
help! needed urgently, thanks
Find the missing length of the figure. help yall please give me the steps on doing it I'm confused
The sales tax for an item was $26.60 and it cost $380 before tax. Find the sales tax rate. Write your answer as a percentage.
Answer:
7% sales tax
Step-by-step explanation:
Given the following question:
Sales tax = $26.60
It costs $380 before tax
In order to find the answer, we simply find a random percentage of the original cost before tax.
[tex]\frac{7\times380}{100} =2660\div100=26.6=26.60[/tex]
7% sales tax rate.
Hope this helps.
Carol is baking chocolate biscuits. The recipe she is following uses 150 g of
sugar and makes 50 biscuits.
If Carol only has 30 g of sugar then how many of these biscuits can she
make?
She can make 10 biscuits out of 30g of sugar.
100 POINTS! Fully correct and explanatory answers only!
In the figure, ∠4 is an exterior angle to triangle ∠A∠U∠L .
(a) What is the angle measurement of Angle 3? Explain the angle relationship you used.
(b) What is the angle measurement of Angle 4? Explain the angle relationship you used.
(c) What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar and different between the angle relationship between angles 1, 2, & 3 and that between 3 & 4?
(d) The combination of which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.
ANSWER ALL 4 PARTS FULLY AND EXPLANITORY!
#1
<3 be xApply angle sum property
[tex]\\ \rm\Rrightarrow x+25+52=180[/tex]
[tex]\\ \rm\Rrightarrow x+77=180[/tex]
[tex]\\ \rm\Rrightarrow x=103[/tex]
#2
Sum of two Interiors=exterior
<4=25+52=77°#3
Yes <1 ,<2,<3 have sum 180°.
#4
<2 and <1.
As sum of two Interiors=exterior
The parking garage at the airport has 4750 empty parking spaces and 250 full parking spaces. What percent of the spaces in the garage are empty write your answer using a %
Answer:
I'd say around 95% or 94.737%
Step-by-step explanation:
4750 - 250 = 4500
4750/250 = 1/19
1/19 = 0.052 or close to 5%
4750 x 94.737% = 4500.0075
I hope this helps!
2 people share 3 chocolate bars equally. Each chocolate bar is the same size.
About how much chocolate does each person get?
Answer:
1.5 Pieces
Step-by-step explanation:
If you divide 3 chocolate bars by 2 people it will evenly be distributed by 1.5
Answer:
Just divide it.
Step-by-step explanation:
Take each bar height as 10. There are 3 bars. So the total height is 30. But there is 2 persons, so dividing it will result 15. So according to this assumed answer, I will say you will have to do this :
Give one bar to each of them and the bar should be divided in half, provided that two parts should be there as well as both parts of it should be 5 in height.
So, the upper part was an assume. This time, you mentioned no heights, so I will do it with equation process.
(meaning of each variable)
people = x
chocolate bar = 3
2x ( since 2 people) = 3 ( three chocolate bars )
2x=3
x=3/2
x=1.5 ( one and half )
I hope you understand.Test Direction: Find the measure of <s. Write the answer on the space provided.
Answer:
16. 40°
17. 40°
18. 50°
19. 45°
20. 135°
Step-by-step explanation:
16. angles opposite to each other are equal
17. 180 - 140 = 40
18. 90 - 40 = 50
19. 65 + 70 = 135
180 - 135 = 45
20. 145 + 80 = 225
360 - 225 = 135
hope this helps :)
On average, an American hummingbird flaps its wings about 3,180 times per minute.
About how many times per second does it flap its wings?
Enter your answer in the box.
Answer: 53 times per second.
Step-by-step explanation:
3180(flaps per min) Divided by 60(seconds in a min) = 53
Mathhhhhhhhhhhhhhh!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
93
Step-by-step explanation:
subtract -36 from 57 and you get 93.
Answer:
93
Step-by-step explanation:
57+36=93 that's your answer