Answer:
x = 5/3
Step-by-step explanation:
Solve for x:
3 x + 5 = 10
Subtract 5 from both sides:
3 x + (5 - 5) = 10 - 5
5 - 5 = 0:
3 x = 10 - 5
10 - 5 = 5:
3 x = 5
Divide both sides of 3 x = 5 by 3:
(3 x)/3 = 5/3
3/3 = 1:
Answer: x = 5/3
Step-by-step explanation:
To solve for x, make it the subject of the equation and simplify:
3x + 5 = 10 [subtract five from both sides]
3x = 5 [divide both sides by three]
x = ⁵/₃
The number of carbon atoms in a fossil is given by the function [tex]y = 5100(0.95)^{x}[/tex], where x represents the number of years since being discovered. What is the percent of change per year? Explain how you arrived at your answer.
Answer:
[tex]\%x=5\%[/tex]
Step-by-step explanation:
From the question we are told that:
Carbon atoms in fossil function
[tex]y=5100(0.95)^x[/tex]
Generally the equation a 2 year change is mathematically given by
For[tex]x=1[/tex]
[tex]y_1=5100(0.95)^1\\y_1=4845[/tex]
For [tex]x=2[/tex]
[tex]y_2=5100(0.95)^2\\y_2=4602.75[/tex]
Generally the equation percentage year changes [tex]\%x[/tex] is mathematically given by
[tex]\%x=\frac{y_1-y_2}{y_1} *100[/tex]
[tex]\%x=\frac{4845-4602.75}{4845} *100[/tex]
[tex]\%x=5\%[/tex]
Therefore the percent of change per year is
[tex]\%x=5\%[/tex]
PLEASE HELP 3. what is the source of the line that contains the coordinate points (8, -3) and (-2, 7)
9514 1404 393
Answer:
-1
Step-by-step explanation:
The slope of a line between two points is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (7 -(-3))/(-2 -8) = 10/-10
m = -1
The slope of the line is -1.
A parallelogram has base 16 cm and height 5 cm. What is its area?
Answer:
80 is the answer u have read the formula
the sum of twice a number and 11 is equal to 55
Answer:
Equation: 2x+11=5
Solving the equation: x=22
Step-by-step explanation:
The sum of twice a number is 2x+
The sum of twice a number and 11 is 2x+11
The sum of twice a number and 11 is equal to 55 is 2x+11=55
Solving the equation: 2x+11-11=55-11
2x=44
2x/2=44/2
x=22
621.72 round to the nearest whole number
Answer:
622
Step-by-step explanation:
Please mark brainliest
Answer:
Hi! The answer to your question is 622
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
find the area of the circle r = 3 ft
Answer:
9π ft² or approximately 28.26 ft²
Step-by-step explanation:
The area of a circle is A=πr².
Plug 3 in for the radius.
A=π(3²)
A=9π ft²,
or using 3.14 for pi,
Approximately 28.26 ft².
hiii please help i’ll give brainliest:)
Answer:
weaving
Step-by-step explanation:
please mark this answer as brainliest
if x degree and 115 degree are co exterior angles find the vaule of x degree
Answer:
65 degrees
Step-by-step explanation:
An exterior angle form a linear pair with an interior angle.
A linear pair of angles must add up to 180 degrees
180-115 = 65
For which of the following equations does n = 5?
I. 3n = 15
II. n2 = 25
III. 2n = 32
Answer:
1) 3n = 15
Step-by-step explanation:
Finding X in triangle
Answer:
x is 5 cm as the entire base is 10 cm, so 10/2 = 5
please can someone help my assignment in math
Answer/Step-by-step explanation:
1. B = 180 - (90 + 58) (sum of triangles)
B = 32°
Let's find a and b using trigonometric ratios:
Reference angle = 58°
Opposite = a = ?
Hypotenuse = c = 27
Adjacent = b = ?
✔️To find a, apply SOH:
Sin 58 = Opp/Hyp
Sin 58 = a/27
a = 27*Sin 58
a = 22.8972986 ≈ 22.9 (nearest tenth)
✔️To find b, apply CAH:
Cos 58 = Adj/Hyp
Cos 58 = b/27
b = 27*Cos58
b = 14.3 (nearest tenth)
2. B = 180 - (90 + 63) (sum of triangles)
B = 27°
Let's find a and b using trigonometric ratios:
Reference angle = 63°
Opposite = a = 11
Hypotenuse = c = ?
Adjacent = b = ?
✔️To find b, apply TOA:
Tan 63 = Opp/Adj
Tan 63 = 11/b
b = 11/Tan 63
b = 5.6 (nearest tenth)
✔️To find c, apply SOH:
Sin 63 = Opp/Hyp
Sin 63 = 11/c
c = 11/Sin 63
c = 12.3 (nearest tenth)
what is the ratio of the size of the two amoeba
Answer:
between 200 750 is the answer
Evan has a book to read that has 144 pages. If he has 12 days to finish the
book, how many pages must he read each day?
Answer:
12 pages a day
Step-by-step explanation:
144/12=12
The price of 1 kg of silver on 1st January 2010 was $607
By 1st January 2015, the price of 1 kg of silver had decreased by 9.4%
Work out the price of 1 kg of silver on 1st January 2015.
Give your answer correct to the nearest dollar
Answer:
550
Step-by-step explanation:
9.4/100 multiplied by 607 is 57
subtract this from 607 and the answer is 549.9, to the nearest dollar is 550
Find the value of x in the triangle shown below.
24 74
Answer:
x =82
because 180 - (24 + 74)= 82
100 POINTS! :)
Please answer the question correctly WITH WORK...otherwise I will report! :)
Joshua has a ladder that is 12.8 ft long. He wants to lean the ladder against a verticle wall so that the top of the ladder is 11 ft above ground. For safety reasons, he wants the angle of the ladder no greater than 75 degrees. Will the ladder be safe at this height? Show your work.
Answer: So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).
That angle ladder makes with the ground = €
SOH: sin € = opposite/hypotenuse
No the ladder won't be safe!!!
Now let's make it safe:
The ladder's length (w) is constant, so stays 12
So now let's ask in an inequality what height will be safe (75° or less)
what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!
Hope that helps! :-D
Step-by-step explanation:
A city has a population of 310,000 people.Suppose that each year the population grows by 6.5% . What will the population be after 9 years?
Answer:
546,397 people
Step-by-step explanation:
We solve for the above question, using the formula for Exponential growth
The formula is given as
P(t) = Po (1 + r)^t
Po = Initial population = 310,000
r = Exponential growth rate = 6.5% = 0.065
t = Time in years = 9
P(t) = Population size after time t
Hence:
P(t) = 310,000 × (1 + 0.065)⁹
P(t) = 546,396.82088 people
Approximately =546,397 people
The population will be 546,397 people after 9 years.
Please help me ASAP Its 4th grade homework
Answer:
equilateral
Step-by-step explanation:
all sides are even to each other
Answer: Equilateral triangle
Step-by-step explanation: This is because it has 3 equal sides
Pls help ASAP!!!!! plss anyone!!!!
Answer:
1)
a = 117°
c = 117°
d = 63°
2)
c = 87°
3)
a = 60°
b = 30°
Please help!!!!!!!!!!!!!!!!
Answer: Shows us the pictures of the subsets.
Step-by-step explanation:
Can someone help explain this to me?
Step-by-step explanation:
A. y-5=-4x+4
y=-4x+4+5
y= -4x +9
(0,9)(9/4,0)
42 - 35 = 8 - 12 + t
What does t mean?
Please please please please please please help me a b c or d
Answer:
35 degree angle the line passes through the 30 and 40
Step-by-step explanation:
so c
The larger of 2 numbers is twice the smaller. If the larger is x, what is the smaller
Answer:
Step-by-step explanation:
x/2
A number is decreased by 15% and the resulting number is then increased by 20%. That final number is what percent of the original number?
Answer:
The final final number becomes 102 % of the original number
Step-by-step explanation:
Let the initial number be 100
After decreasing 15%, the new number is 100-15% of 100 = 85
The resulting number is then increased by 20%. The new number will be
85 + 20% of 85 = 85 + 17 = 102
The final final number becomes 102/100 * 100 percent of the original number
The final final number becomes 102 % of the original number
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
PLEASE GIVE RIGHT ANSWER Triangle EFG has coordinates E (0, 0), F (0, 2), and G (3, 0). If ΔEFG ≅ ΔXYZ, what is the measure of XY? 1.5 units 2 units 3 units 3.5 units
Answer:
2 units
Step-by-step explanation:
Congruent triangles are those triangles, which have same shape & size (same side & angle size).
If ΔEFG ≅ ΔXYZ. And, E (0, 0), F (0, 2), and G (3, 0)
So, length EF = length XY.
Length of E (0,0) & F (0,2) is 2 units
As triangles are congruent, EF = XY
Hence, measure of XY = 2 units
Answer:
2 units
Step-by-step explanation:
hey i kinda need help on this question
(could you do a step by step method i think it would help a lot)
Answer:
27.6°
Step-by-step explanation:
6.5²-6² = 6.25
✓6.25 =2.5
^^^ that was Pythagoras theorem
9+2.5 = 11.5
23-11.5 =11.5
6 = height =opposite
11.5 = base = adjacent
sohcahtoa
use Tan
Tan-¹(6/11.5)
gives the angle CDA = 27.5528...
27.6 (1d.p)
The price of an item has been reduced by 60%. The original price was $45. What is the price of the item now?
Answer:
$27
Step-by-step explanation:
can u please help to warn: No links or I will report thank you, and have a blessed day!!
Answer:
1.) 1/4
2.) 5/12 i am not sure about this one
Step-by-step explanation:
1.) Chance of tales:
Chance of even number: 3/6 or 1/2
Multiply: (1/2)(1/2) = 1/4