Answer:
x= 8/9
Step-by-step explanation:
Open everything up to get 5x+2x-6=-2x+2. Move numbers with an x to the left side and without to the right to have 5x+2x+2x=2+6. Simplify to have 9x=8. Divide by 9 which leaves you with x= 8/9
Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.
(-2)
1.
1-21-10
32
2. 21.24
-32
3.
32
1
4.
2-
Answer:
1) [tex]\frac{(-2)^{-5}}{(-2)^{-10}}=-32[/tex]
2) [tex]2^{-1}.2^{-4} = \frac{1}{32}[/tex]
3) [tex](-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}[/tex]
4) [tex]\frac{2}{2^{-4}} = 32[/tex]
Step-by-step explanation:
1) [tex]\frac{(-2)^{-5}}{(-2)^{-10}}[/tex]
Solving using exponent rule: [tex]a^{-m}=\frac{1}{a^m}[/tex]
[tex]\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32[/tex]
So, [tex]\frac{(-2)^{-5}}{(-2)^{-10}}=-32[/tex]
2) [tex]2^{-1}.2^{-4}[/tex]
Using the exponent rule: [tex]a^m.a^n=a^{m+n}[/tex]
We have:
[tex]2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}[/tex]
We also know that: [tex]a^{-m}=\frac{1}{a^m}[/tex]
Using this rule:
[tex]2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}[/tex]
So, [tex]2^{-1}.2^{-4} = \frac{1}{32}[/tex]
3) [tex](-\frac{1}{2} )^3.(-\frac{1}{2} )^2[/tex]
Solving:
[tex](-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}[/tex]
So, [tex](-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}[/tex]
4) [tex]\frac{2}{2^{-4}}[/tex]
We know that: [tex]a^{-m}=\frac{1}{a^m}[/tex]
[tex]\frac{2}{2^{-4}}\\=2\times 2^4\\=2(16)\\=32[/tex]
So, [tex]\frac{2}{2^{-4}} = 32[/tex]
Please answer!!! PLEASE AND THANK YOUUUUU
Answer:
X=5
Step-by-step explanation:
If figure B is a larger version of A, that means that 2 was multiplied by 2.5 to get 5. Therefore, x was multiplied by 2.5 to equal 12.5. So, if you divide 12.5 by 2.5, you will get the answer 5=x.
Hope This Helps!! ^O^
Answer:
when 2 in small figure is enlarged, it became 5, so it's multiplied by 2.5.
so, 2 x 2.5 = 5
therefore, X x 2.5 = 12.5
X = 12.5/2.5
X = 5
Hope it helped u,
pls mark as the brainliest
^_^
Simplify the equation
Answer:
4¹⁵
Step-by-step explanation:
3×5=15 ....................
What is graph theory? Math
round 211,647 to the nearest thousand
Answer:
...
Step-by-step explanation:
The number 211,647 rounded to the nearest thousand is 212,000. Hopefully this helps!
Answer:
212,000
Step-by-step explanation:
If we are rounding to the nearest thousand, lets take the first two digits and hide them. If we are rounding 1647 to the nearest thousand, it would be 2100. Then, add the first two digits back and now it is 212,000.
Thomas went to the zooe and saw an African Bush Elephant that weighed 13,000 pounds. how many tons did this elephant weigh?
Answer:
6.5 tons
Step-by-step explanation:
A ton is equal to 2000 pounds.
13000/2000 = 6.5
WILL GIVE BRAINLIEST
A Jewelry artist is selling at an fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4.00. The artist is selling the necklaces at $12 each.
The inequality 12n>145+4n represents the situation in which the artist a profit.
Answer:
She will make a profit of one dollar because the cost of operation and production is 203 dollars in total and selling 17 necklaces she will make 204 dollars
Edit: b) She will need to sell exactly seventeen necklaces
Step-by-step explanation: Hope this helps!
thirty
Farnsworth High School is
planning for an awards
ceremony. The gym at the
school holds 1,526 people.
There are 254 seats
already taken (42 teachers
and 212 students). How
many guests can each
student invite?
please help me asap
Answer:
5 times K is 5K
Step-by-step explanation:
gujjhgvbjyijgvbn
Answer:
5k
Step-by-step explanation:
5 times k is 5k
Thomas starts a canned food collection with 2 cans of food. He challenges his friends to bring 4 cans on the second day, 8 cans on the third day, and 16 cans on the fourth day. Thomas and his friends plan to collect cans for 10 days. Which statement describes why the relation between the number of days and the cans collected is a function? Select each correct answer. Each day corresponds to a unique amount of cans in this relation. The graph of the relation would pass the horizontal line test. Each amount of cans corresponds to a unique day in this relation. The graph of the relation would pass the vertical line test.
Answer:
When he first starts with two cans he id doubling the number by multiplying the number by the power of 2. so every day it would be 2,4,8,16,32,64,128,256,512,1024. So they would have 1024 cans on the tenth day.
Step-by-step explanation:
Alec's dad is 36 years old. His age is 3 times Alec's age.
Answer:
12
Step-by-step explanation:
Just divide 36 by 3 and you get 12.
7 + k/4= 9
what does k=?
Answer: k=8
Step-by-step explanation: So your equation is 7+k/4=9. Remember, the goal of this problem is to isolate the k. The first thing you should do is subtract 7 from both sides. You should get k/4=2. Then, multiply both sides by 4 to isolate the k. You should get k=8. Hope this helps!
Giving 20 points please help
Step-by-step explanation:
for each top equation, there is a y value and an x value. You could plug in the bottom equation for y in the top equation since y=5x+23. Then you do order of operations and get your y-value. Then you do order of operations again and get your x-value. then its ordered pair, (x,y)
Right? I am so sorry if I am wrong <3
My Final Question! 50 points and Brainliest!
[tex]ln(x-24)+ln(x+100)=3 ln 5[/tex]
Answer:
lnx-24ln+lnx+100ln=3ln5
2lnx+76ln=3ln5
What is the slop of the line contains points (1,1) and (5,-5) write a answer as friction as simplest from (hint 2/1 should be simplified to 2)
Answer:
[tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
Given parameters:
Points = (1,1) and (5,-5)
Unknown:
Slope = ?
Solution:
The slope of the a line is the ratio of the rise of a line to its run.
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
x1 = 1
y1 = 1
x2 = 5
y2 = -5
Insert the parameters and solve;
Slope = [tex]\frac{-5 - 1}{5-1}[/tex] = [tex]\frac{-6}{4}[/tex] = [tex]-\frac{3}{2}[/tex]
3.55 x 89≈ What is it close to plz help im clueless
Answer:
315.95 or 316
Step-by-step explanation:
If you multiply it you get 315.95 but that kind of equal sign signifies and the approximate sum so 316.
Leo reads 14 pages in 1/4 hour. What is the unit rate for pages per hour? For hours per page?
Answer:
56 pages per hour
Step-by-step explanation:
multiply 14 by 4 because 1/4 * 4 = 1
Find two prime numbers whose sum and difference are prime numbers. Pls help.
Answer:
2 and 3
2+3 = 5
3-2 = 1
is the number
pls simplify 9a+3b-4a-2b
Answer:
its 5a+b don't report my answer because its correct
Step-by-step explanation:
Answer:
5a+b
Step-by-step explanation:
I WILL GIVE BRAINLIEST
Answer:
The missing exponent is 7
Helppppppppp pleaseeee ASAP
Answer:
y = (x + 4)^2 - 3
Use Foil to solve (x + 4):
(x + 4)(x + 4) = x^2 + 8x + 16
Plug it back into original equation:
y = x^2 + 8x + 16 - 3
y = x^2 + 8x + 13 is the answer :)
.
Instructions: Find the actual distance if the map has a scale of 2 cm : 21 km. According to your Boss’ research, Manhattan and The Bronx are 8.6 cm apart on the map. What is their actual distance?
(Provide a clear explanation oh how you answered the problem,meaning step by step.If you can,please provide a image of how you answered the problem.)
Answer:
90.3 km
Step-by-step explanation:
2 cm: 21 km and the boss provides 8.6 cm for manhattan-bronx distance.
a ratio can also be written as a fraction
2/21 x 8.6/x or 2:21 and 8.6:x [cross multiply to solve for x]
2 x 8.6 = 2x = 180.6 = 2x = 180.6 reduces to x =90.3
21 x 2 2
Write the ratio of dogs to cats in simplest form.
12 dogs, 16 cats
6 to 8
8 to 6
4 to 3
3 to 4
12/16 becomes 6/8 which later becomes 3/4.
So,
The ratio of dogs to cats in simplest form is 3:4 [Option 4]
Hope it helps!
Antony and lily started moving in opposite directions from the same point at the same time. If Antony was biking with an average 12 mph speed and Lily was walking by 4 mph, how soon the distance between them will be 76 miles?
4 hours and 45 minutes
The number of miles increasing each
hour is 16, 16 times 4 is 64, and to get
to 76, you add an extra 3/4 of an hour
which is 45 minutes.
Hope it helps!
One -tenth of books are picture books 2/10 are story books and half are science fiction and remainings are encyclopaedia what fraction are encyclopaedia
Answer:
1/5 of books are encyclopediaStep-by-step explanation:
Remaining fraction:
1 - (1/10 + 2/10 + 5/10) = 1 - 8/10 = 2/10 =1/51/5 of books are encyclopedia
Answer:
Let the total fraction of books be 1, then;
[tex]1 - ( \frac{1}{10} + \frac{2}{10} + \frac{1}{2} ) \\ 1 - ( \frac{(1 + 2 + 5)}{10} ) \\ (1 - \frac{8}{10}) = \frac{(10 - 8)}{10} \\ \frac{2}{10} = \boxed{ \frac{1}{5} }[/tex]
Therefore, 1/5th of the books are encyclopaedia.The graph of the absolute value parent function, f(x) = |x|, is stretch horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
A. g(x) = 6|x|
B. g(x) = |x + 6|
C. g(x) = |1/6x|
D. g(x) = |6x|
Answer:
Step-by-step explanation:
(C). g(x) = | [tex]\frac{1}{6}[/tex] x |
Madeline lives on a farm. Each time it rains, she uses a rain gauge (captures rain)to measure how much rain has fallen. She records the following rain measurements (in inches): 1.9, 0.6, 1/2, 1/10.
Write the rainfall amounts from least to greatest using sticky notes.
Answer:
1/10, 1/2, 0.6, 1.9
Step-by-step explanation:
1/10 is equivalent to 0.1 and 1/2 is the same as 0.5, thus making your order 1/10, 1/2, 0.6, 1.9
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal. A rhombus ABCD is shown with diagonal AC equal to 17.2 feet and diagonal BD equal to 14.3 feet What is the area of the farm? (1 point) a 122.98 square feet b 126 square feet c 163.96 square feet d 189 square feet
Answer:
Personally, I think it is A.
Step-by-step explanation:
14.3 x 17.2 = 245.96
245.96 ÷ 2 is 122.98
The Answer is A)
Answer:
The answer is A
Step-by-step explanation:
I took the test and I got it right trust me!!
Hope I helped!!!
The perimeter of a rectangular construction site is 124 meters. The width is eight meters more than 5 times the length. Find the length and width of the construction site.
Show work
Answer:
The perimeter of a rectangle is the sum of both lengths and both widths, which is equal to 54 meters. Let's call Length L and Width W.
The question is saying this: L = 3 meters + 3(W). We have 2 variables, which means we need at least 2 equations to solve. So far we have one, our second equation is from the perimeter.
2 lengths + 2 Widths = 54. Now, it's just a plug and chug.
2(3 + 3W) + 2W = 54.
6 + 6W + 2W = 54
8W = 48
W=6
L = 3 + 3(6) = 21
To double check: 2(21) + 2(6) = 42 + 12 = 54
The Width is 6 meters, and the Length is 21 meters.
47 I a) Find the values of Angles 1, 2, 3, and 4. Show your steps or explain your reasoning for each.