Answer:
Required Answer:-[tex]{:}\longrightarrow[/tex][tex]\sf 5x-2=x+8 [/tex]
interchange both sides[tex]{:}\longrightarrow[/tex][tex]\sf 5x-x=8+2 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 4x=10 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {10}{4}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {5}{2}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=2.5 [/tex]
The sum of three consecutive odd integers is 153. Find the three odd integers.
First integer =
Second integer =
Third integer =
PLEASE HELPPPP!!
Answer:
49, 51, 53
Step-by-step explanation:
Let the first odd integer be n.
Then the consecutive odd integer will be (n+2).
This will be followed by (n+4).
We know that the sum of these three is 153. In other words:
[tex]n+(n+2)+(n+4)=153[/tex]
Solve for n. Combine like terms:
[tex]3n+6=153[/tex]
Subtract 6 from both sides:
[tex]3n=147[/tex]
Divide both sides by 3:
[tex]n=49[/tex]
Therefore, our first odd number is 49.
So, our consecutive numbers must be 51 and 53.
Hence, our sequence is:
49, 51, 53
Notes:
If we get an even number for n or a non-integer value, then there are no three consecutive odd integers that sum to 153.
Answer:
49, 51, 53
Step-by-step explanation:
All odd numbers:
49 + 51 = 100
100 + 53 = 153
Last year, the cost of a family-sized dinner at a picnic was $8.50. This year, the cost is $11.56. What is the percent of increase of the price? (i need a step-by-step explanation not just the answer) will give out brainly if u tell me how to
Answer:
[tex]\%Increase = 36\%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 8.50[/tex]
[tex]Final = 11.56[/tex]
Required
Determine the percentage increase
Percentage increase is calculated using:
[tex]\%Increase = \frac{Final - Initial}{Initial} * 100\%[/tex]
Substitute values for Final and Initial
[tex]\%Increase = \frac{11.56 - 8.50}{8.50} * 100\%[/tex]
[tex]\%Increase = \frac{3.06}{8.50} * 100\%[/tex]
[tex]\%Increase = \frac{3.06 * 100\%}{8.50}[/tex]
[tex]\%Increase = \frac{306\%}{8.50}[/tex]
[tex]\%Increase = 36\%[/tex]
Hence, the percentage increase in price is 36%
Consider a coin that a head is twice more likely to occur than a tail. Find the variance of number of heads when the coin is tossed three times.
Answer:
0.667
Step-by-step explanation:
Given that :
Head is twice more likely to occur than a tail.
P(head) = p(H) = 2/3
P(tail) = p(T) = 1/3
If coin is tossed 3 times :
P(H = 0) :
1st toss = tail ;2nd toss = tail ; 3rd toss =. Tail
(1/3) * (1/3) * (1/3) = 1 / 27
P(H= 1)
HTT, THT, TTH
(2/3 * 1/3 * 1/3) + (1/3 * 2/3 * 1/3) + (1/3 * 1/3 *2/3)
= 2/27 + 2 /27 + 2/27
= 6/27 = 2/9
P(H=2)
HHT, HTH, THH
(2/3 * 2/3 * 1/3) + (2/3 * 1/3 * 2/3) + (1/3 * 2/3 * 2/3)
= 4/27 + 4/27 + 4/27
= 12 / 27
= 4 /9
P(H = 3)
HHH
(2/3 * 2/3 * 2/3)
= 8 / 27
X ___ 0 ___ 1 ____ 2 ____ 3
P(x) _ 1/27 _ 2/9 __ 4/9 __ 8/27
E(X) = (0 * (1/27)) + (1 * (2/9)) + (2 * (4/9)) + (3 * (8/27)) = 2
E(X) = 2
Var(X) = Σx²p(x) - E(X)²
= (0^2 * (1/27)) + (1^2 * (2/9)) + (2^2 * (4/9)) + (3^2 * (8/27)) - 2^2
= 4.667 - 4
= 0.667
Hence, Var(x) = 0.667
Kevin needs to memorize words on his oh Cavaleri list for Latin class. He has been raised 20 other words, which is 4/5 of the list. How many words are on the list?
Answer:
25
Step-by-step explanation:
if 20 is 4/5 then you just reverse egineer and you get it
given f(x)=4x-3, solve for x when f(x)=9
Division expression
Find the number whose arithmetic square root is 0.6
Answer: 0.36
Step-by-step explanation:
6/10 x 6.10= 36/100
Which expression is equivalent to two square root of 98 times square root of two
Answer:
The answer is 14. Hope this helps.
Step-by-step explanation:
Elijah builds model airplanes at a constant rate. He can build 5 model airplanes in 150 minutes, and 10 model airplanes in 300 minutes. How long would it take him to build 15 model airplanes.
Answer:
450 minutes
Step-by-step explanation:
Since Elijah can build 5 model airplanes in 150 minutes. He can build 1 model airplane in 30 minutes. To find this you divide 150 by 5. The question asks for how many minutes it would take Elijah to build 15 model airplanes. Since 1 x 15 = 15 model airplanes, you use proportions and also multiple the time by 15, so 30 x 15 = 450 minutes.
Answer:
450 Minutes or 7 hours 30 minutes
Step-by-step explanation:
Because the rate of Sets to minutes is 1:30 for every 1 he builds it take 30 minutes so 30 x 15 = 450 or 150 x 3 because every 5 sets there 150 minutes
Hope this helped :)
Given that 3a : 7 = 8:5, find the value of a.
Answer:
a=56/15
Step-by-step explanation:
3a/7=8/5
3a=56/5
a=56/15
Bhmbbu.jgHello I need help with the square root of 1867 and the square root of 5098 6x9x7x5x4
Answer:
Hello!
Step-by-step explanation:
What did the thief get for stealing the calendar?
Here is a riddle
Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter.Area: 49 square feet ft (smaller value) ft (larger value)
Answer:
Length = 7 ft
Breadth = 7 ft
Step-by-step explanation:
Let lenght of rectangle be x
and breadth be y
Area = [tex]49\ \text{ft}^2[/tex]
[tex]xy=49\\\Rightarrow x=\dfrac{49}{y}[/tex]
Permiter of a rectangle is given by
[tex]P=2(x+y)\\\Rightarrow P=2x+2y\\\Rightarrow P=2\times\dfrac{49}{y}+2y\\\Rightarrow P=\dfrac{98}{y}+2y[/tex]
Differentiating with respect to y we get
[tex]\dfrac{dP}{dy}=-\dfrac{98}{y^2}+2[/tex]
Equating with zero
[tex]0=-\dfrac{98}{y^2}+2\\\Rightarrow -2=-\dfrac{98}{y^2}\\\Rightarrow y^2=\dfrac{98}{2}\\\Rightarrow y^2=49\\\Rightarrow y=7[/tex]
Double derivative of the equation
[tex]\dfrac{d^2P}{dy^2}=2\dfrac{98}{y^3}\\\Rightarrow \dfrac{d^2P}{dy^2}=\dfrac{196}{y^3}>0[/tex]
So the value of y is minimum at 7.
[tex]x=\dfrac{49}{y}=\dfrac{49}{7}\\\Rightarrow x=7[/tex]
Hence, [tex]x=7,y=7[/tex]
The mimimum length and breadth of the rectangle is both 7 ft.
Five less than the area of a square is 59 square feet. Find the side length of the square.
Answer:
4 feet
Step-by-step explanation:
Let the side length of the square be x feet.
x^2 - 5 = 59
x^2 = 64
x = ±4 (reject - 4 since length > 0)
Topic: Areas of polygons
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Which is the better buy?
7-pound bag of barley for $6.72
312-ounce bag of barley for $28.08
Answer:
7-pound bag of barley for $6.72 is a better buy.
Step-by-step explanation:
7-pound bag of barley for $6.72
6.72 : 7 = 0.96
check your work: 0.96 x 7 = 6.72
so for the first offer you will be paying $0.96 per pound
312-ounce bag of barley for $28.08
1 pound = 16 ounces
312 ounces = 19.5 pounds
28.08 : 19.5 = 1.44
for the second offer you will be paying $1.44 per pound of barley. 7-pound bag of barley for $6.72 is a better buy because you will be less for each pound.
hope this helps!
Answer:
7-pound bag of barley for $6.72
Step-by-step explanation:
Multiplying and Dividing Radicals
Simplify the following expressions.
Select the correct answer.
Which expression is equivalent to this polynomial?
x^2+8
OA. ( + 2/2)(x – 2/2)
B. (5 + 4i) (3 – 4i)
oc. (x + 2√2)
D. (x + 2/2i)(x – 2/2i)
The expression x²+8 is equivalent to ( x + 2√2i) ( x - 2√2i).The correct option is D.
What is an Expression?An expression is a statement consisting of variables, constants, and mathematical operators.
The expression x²+8 can be written as
( x )² - ( 2√2i)²
This is representing the binomial Identity
a² - b² = ( a+b) (a-b)
here a = x , b =2√2i
The expression can be written as
( x )² - ( 2√2i)² = ( x + 2√2i) ( x - 2√2i)
Therefore, The correct option is D.
To know more about Expression
https://brainly.com/question/14083225
#SPJ2
Answer: D.)
Step-by-step explanation: I got it right on the test!!
Find the values of x and y that satisfy the equation.
- 12x + yi = 60 - 13i
What is the equation in standard form of the line y = 19x + 5?
i am doing a test. thank you.
Answer:
19x-y=-5
Step-by-step explanation:
Tip: don't say you need an answer for a test may get reported or banned. :)
You're welcome :)
3/4 x 2 /4 on a number line
find the smallest number by which the number108 must be multiplied to obtain a perfect cube
Answer:
2
Step-by-step explanation:
108*2
=216
216
=6^3
PLS GIVE BRAINLIEST
5. *
17 points
Which answer shows 9x 10-written in standard form?
-.000009
.000009
-900,000
.00009
F+G=K+7, K=7 prove: G=7
Step-by-step explanation:
K=7,
F+G=K+7
F+G=7+7
F=7, G=7 proved
fifty two seventh graders joined the swim club this year. THis is for more than six times the number seventh graders who joined the swimming club last year. How many seventh graders joined the swimming club last year. Brainly
Answer:
312
Step-by-step explanation:
52x6
Use all four numbers 5, 1, 7, 9 with a value as close to 6000 as possible
Answer:
5971
Step-by-step explanation:
Lorine drew the model below to represent the equation 16 + 28 = ___ ´ (4 + 7).
Answer:
4
Step-by-step explanation:
Answer:
Its A (A is 4)
Step-by-step explanation:
Also correct on Edge 2021
Download "Core Games" on Pc Now!!!!!
Six years ago Deki was P times as old as Benita was. If Deki is now 17 years old, how old is
Benita now in terms of P?
A. 11/P + 6
B. P/11 + 6
C. 17 - P/6
D. 17/P
Answer:
A) 11/P + 6
Let Ben’s age now be B
Anita’s age now is A.
(A - 6) = P(B - 6)
But A is 17 and therefore 11 = P(B - 6)
11/P = B-6
(11/P) + 6 = B
please make as brainleylist
Translate this sentence into an equation.
17 less than Vidya's savings is 64
Answer:
S - 17=64
Step-by-step explanation:
the product of 0.43 and 5.024 is greater than 0.43 and less than 5.024 true or false
Answer: True
Step-by-step explanation:
First find the product of 0.43 and 5.024 so see if it is greater than 0.43.
0.43 * 5.024 = 2.16032
2.16032 is indeed greater than 0.43 , 2.16032 > 0.43
And 0.43 is indeed less than 5.024 , 0.43 < 5.024
Meaning that this state is true.
Answer:
True
Step-by-step explanation:
Product refers to multiplication, the question is telling us to multiply 0.43 and 5.024 so lets do that
0.43 * 5.024 = 2.16032
Now we have to figure out if this fits the criteria. It must be larger than 0.43 but smaller then 5.024
...
...
...
That checks out.
True
Brainliest is much appreciated!
WILL GIVE BRAINLIEST! Is the relationship between x and y as shown in this table a proportional relationship? Explain your answer.
x y
1 2.5
2 5
4 10
6 12
8 20
Answer:
No, a porportional relationship is not shown
Step-by-step explanation:
Up until 4(x) and 10(y), the relationship is porportional. Then, when x increases by 2, y also only increases by 2. Y would need to increase by 5.
Find the missing value.
Hint: Use the number line to find the missing value.
Helppp
Answer:
-2
Step-by-step explanation:
the multiplication of -×- will be + so if-×-will be plus then -7 after multiplying will be + so
_2+7=5
Answer is 12! Gl on what ur doing!