Answer:
Step-by-step explanation:
if (-2/15)+(-13/5)=(-13/5)+a/b then a/b is equal to
The choose C. –2/15
(-2/15) +(-13/5) =(-13/5) +a/b
a/b = (-2/15)+(-13/5) - (-13/5)
a/b = (-2/15) - ( 39/15) +(39/15)
a/b = –2/15
I hope I helped you ^_^
Answer: option 3: a/b = (-2/15)
Step-by-step explanation:
See here when we solve this
(-2/15)+(-13/5) = (-13/5)+a/b
(-2/15) = (-13/5)+a/b-(-3/15)
(-2/15) = a/b
please click thanks and mark brainliest if you like :)
A bag contains 5 pieces of string. The lengths of the pieces of string are 1 inch, 3 inches, 5 inches, 7 inches, and 9 inches. Suppose you pick three pieces of string from the bag at random and all pieces are equally likely to be chosen. What is the probability you can form a triangle with the three pieces
Answer:
30%
Step-by-step explanation:
There are 10 possible combinations of sticks that can be drawn from a group of 5 strings
5C3 = (5*4*3)/(3*2) = 10 combinations, which are
1,3,5 ; 1,3,7 ; 1,3,9 ; 1,5,7 ; 1,5,9 ; 1,7,9 ; 3,5,7 ; 3,5,9 ; 3,7,9 ; 5,7,9
to make a triangle, the sum of any two sides must be greater than the third side and if you look at the possible combinations there are only three cases where that is true
so the probability for drawing three sticks that would make a triangle is 3/10 or 30%
What is the decimal equivalent of 9.7x10^5
A. 0.000097
B. 970,000
C. 9,700,000
D. 97,000,000
Answer:
B. 970,000
Step-by-step explanation:
Move the decimal 5 places to the right, since the exponent is a positive 5.
9.7 x 10⁵ = 970,000.
If it is a negative exponent, you would have to move the decimal to the left.
Find the future sum of a present value of $2,000 deposited in a bank at 5% interested for 8 years, compounded continuously (F=Pert). Round answer to the nearest dollar. Use 2.718 for e.
I'll give a brainliest
Answer:
$2983.65
Step-by-step explanation:
A = $2000[tex]e^{8*.05}[/tex] =
What is the sum of the geometric series below?
3+1+1/3+1/9+1/27
Answer:
The correct answer for your geometric series is 4 13/27 (mixed form) or 121/27.
Step-by-step explanation:
Answer:
Step-by-step explanation:
r =term 1 ÷ term 2 = 1 ÷ 3 = 1/3
a =term 1 = 3
n = 5
[tex]Sum = \frac{a(1-r^{n})}{1-r}[/tex]
[tex]= \frac{3*(1-(\frac{1}{3})^{5}}{1-\frac{1}{3}}\\\\=\frac{3*(1-\frac{1}{243})}{\frac{2}{3}}\\\\=\frac{3*\frac{242}{243}}{\frac{2}{3}}\\\\=3*\frac{242}{243}*\frac{3}{2}\\\\=\frac{121}{27}\\\\=4 \frac{13}{27}[/tex]
Evaluate 4(3 - 1)^2..
Answer:
16
Step-by-step explanation:
4(3 - 1)^2
~Simplify using PEMDAS
4(2)^2
4(4)
16
Best of Luck!
If 2 fligs make a flog and 3 flogs make a flug, how many fligs in 12 flugs?
Answer:
There are 72 fligs in 12 flugs
A line of best fit predicts that when x equals 28, y will equal 27.255, but y actually equals 26. What is the residual in this case?
A. 0.745
B. -0.745
C. -1.255
D. 1.255
Answer:
C) -1.255
Step-by-step explanation:
We are tasked to solve for the residual value given that when x equals 29, y will be equals to 27.255. But, when it is tested, y actual value is 26. The formula in solving residual is shown below:
Residual value = Observed value - predicted value
Residual value = 26 - 27.255
Residual values = -1.255
The answer is -1.255 for residual value.
5a + 18 < −27 pre algibra
Answer:
X < -9
Step-by-step explanation:
5a +18 < -27
5a < -27 -18
5a < - 45
5a/5 < - 45/5
a < - 9
Answred by Gauthmath
Answer: -9
Step-by-step explanation:
5a+18 < -27
5a< -27-18
5a<-45
a< -45/5
a< -9
An Olympic swimming pool is 25 meters long. How long is the pool in yards?
There is a proportional relationship between any length measured in centimeters and
the same length measured in millimeters. There are two ways of thinking about this proportional relationship. If you know the length of something in centimeters, you can calculate it’s length in millimeters
The constant of proportionality is 10.
What is constant of proportionality?The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality is the fixed or constant pace at which ratios rise and decrease. Two ratios are said to be directly proportional if they share the same constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality. The constant of proportionality is the name given to this consistent pace of growth or decline.
a)
since , 1 cm = 10mm
9cm = 90mm
12.5cm = 125mm
50cm = 500mm
88.49cm = 884.9mm
b)
The constant of proportionality is 10.
To know more about constant of proportionality please visit:
https://brainly.in/question/15971683?
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Find the equation of the line that is parallel
to the line y = -5x - 9 and passes
through the point (-4,-9) Write the
equation in slope-intercept form.
A parallel line would contain the same slope and have a different y-intercept.
Using the slope of the original line you would start with:
Y = -5x + b, where b is the new y-intercept.
Using the given point replace x and y and solve for b:
-9 = -5(-4) + b
Simplify:
-9 = 20 + b
Subtract 20 from both sides
-29 = b
Now replace b in the equation to get:
Y = -5x -29
Solve the inequality 2x – 22 < -8.
2x - 22 < -8
Add 22 to both sides
2x < 14
Divide both sides by 2
X < 7
Answer:
[tex]2x-22<-8[/tex]
Add 22 to both sides
[tex]2x-22+22<-8+22[/tex]
[tex]2x<14[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}<\frac{14}{2}[/tex]
[tex]x<7[/tex]
OAmalOHopeO
The fan below has been stretched open as far as it will go to form a semi-circle.
Each of the eighteen sectors formed by the fan consists of the same amount of fabric. The length of
each wooden rod that connects the center of the fan to its edge is 12 cm. The wooden rods are
glued to the fabric forming the fan. Determine the approximate area of each sector.
Answer:
Area of each sector=[tex]12.6cm^2[/tex]
Step-by-step explanation:
We are given that
Length of each wooden od that connects the center of the fan to its edge ,r=12 cm
Total number of sectors=18
We have to find the approximate area of each sector.
Area of semi-circle=[tex]\frac{1}{2}\pi r^2[/tex]
Using the formula
Area of fan=[tex]\frac{1}{2}\pi (12)^2=72 \pi cm^2[/tex]
Area of each sector=[tex]\frac{area\;of\;fan}{Total\;number\;of\;sectors}[/tex]
Area of each sector=[tex]\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2[/tex]
Where [tex]\pi=3.14[/tex]
Area of each sector=[tex]12.56cm^2\approx 12.6 cm^2[/tex]
(x+4)^2-(x+2)(x-2)=20
⇒x²+ 4² - x²+ 2x - 2x + 4 = 20
⇒ x² - x² + 2x - 2x + 4² + 4 = 20
⇒ 16 + 4 = 20
⇒ 20 = 20
RHS = LHS hence proved
Answered by Gauthmath must click thanks and mark brainliest
Answer:
x = 0
Step-by-step explanation:
(a + b)² = a² +2ab + b²
(a +b)(a -b)= a² - b²
(x + 4)² - (x + 2 )(x - 2) = 20
x² + 2*4 *x + 4² - [x² - 2²] = 20
x² + 8x + 16 - [x² - 4] = 20
x² + 8x + 16 - x² + 4 = 20 {(-1) is distributed x² and (-4)²}
x² - x² + 8x + 16 + 4 = 20 {Combine like terms}
8x + 20 = 20
8x = 20 - 20
8x = 0
x = 0
Helpppp pleaseeee !!!!!!
Answer:
149 inches squared
Step-by-step explanation:
top rectangle: 25 * 7 = 175
second rectangle: 8 * (25 - 17) = 8^2 = 64
triangle in bottom right: 1/2 * (13 - 8) * (15 - 11) = 10
175 + 64 + 10 = 149 sq in
hopefully got this right!
Find he probability of no more than 35 defective CD's in a batch of 80 CD's if the probablility of any one CD being defective is 0.1.
Answer:
0.999999
Step-by-step explanation:
Given that :
Probability of CD being defective, p = 0.1
q = 1 - p = 1 - 0.1 = 0.9
Total number of CD's = number of trials = 80
Probability, that no more than 35 CD's are defective ;
The question satisfied the requirements for a binomial probability problem ;
Recall :
P(x = x) = nCx * p^x * q^(n-x)
Hence,
P(x ≤ 35) = 80C35 * 0.1^35 * 0.9^(45)
Using calculator to save computation time :
P(x ≤ 35) = 0.999999
-5 (k+4) > 2 - (3k+6)
I believe that the answer you are looking for is -8>k, or k<-8.
Solution/Explanation:
First, writing out the inequality,
-5(k+4) > 2-(3k+6)
Next, using the Distributive Property on both sides,
-5k-20 > 2-3k-6
Simplifying the right side just a little bit more,
-5k-20 > -3k-4
Adding 5k to both sides,
-5k+5k-20 > -3k+5k-4
-20 > 2k-4
Now, adding 4 to both sides,
-20+4 > 2k-4+4
-16 > 2k
Finally, dividing 2 from both sides,
So, therefore, the final answer is -8>k, or k<-8.
I hope this helped answer your question. Enjoy your day, and take care!
Someone help please With geometry
Answer:
9
Step-by-step explanation:
RT = ST + RS
RT = x + 5, ST = 4x - 9, RS = x - 2
x + 5 = 4x - 9 + x - 2
Combine like terms
x + 5 = 5x - 11
Add 11 to both sides
x + 16 = 5x
Subtract x from both sides
16 = 4x
Divide both sides by 4
4 = x
Find RT
RT = x + 5
x = 4
RT = 4 + 5
RT = 9
Answer:
RT = 9
Step-by-step explanation:
R x - 2 S 4x - 9 T
+-------------------------------+--------------------------+
x + 5
RT = RS + ST
x + 5 = x - 2 + 4x - 9
x + 5 = 5x - 11
-4x = -16
x = 4
RT = x + 5
RT = 4 + 5
RT = 9
4. a) x2 + xy2 + y 4
Answer:
x2 + xy2 + y 4=(x+y^2)^2-xy^2
Step-by-step explanation:
If give 7 billions for 7 millions people. What is total?
Answer:
this is a very big number
Step-by-step explanation:
(7000000000)⁷⁰⁰⁰⁰⁰⁰
Find m<1
A. 70°
B. 65°
C. 50°
D. 40°
Question :- Find Angle 1 in diagram
Answer:- Exterior angle is equal to sum of two opposite interior Angle
so :- ATQ
[tex]140 = \angle1 + 90 \\ 140 - 90 = \angle1 \\ 50° = \angle1 \: \: ans[/tex]
so your answer is option (C) 50°
For the remaining questions, show your work.
6. Solve each of the following equations.
a. - 5 = -3 + a
b.Зc + 2 = -22
Step-by-step explanation:
6a.
[tex] - 5 = - 3 + a[/tex]
[tex] - 2 = a[/tex]
6b.
[tex]3c + 2 = - 22[/tex]
[tex]3c = - 24[/tex]
[tex]c = - 8[/tex]
The area of a square piece of land is 784metersquared .What is the perimeter
Answer:
112 m
Step-by-step explanation:
The area (A) of a square is
A = s² ( s is the length of side )
Here A = 784 , then
s² = 784 ( take the square root of both sides )
s = [tex]\sqrt{784}[/tex] = 28
Then
perimeter = 4s = 4 × 28 = 112 m
Answer:
112m
Step-by-step explanation:
the area of the square is 784m^2 so the square root of 784 would give us the length of the sides(since it's a square the length of each sides are equal). √784 would give 28m. 28 m is the length of each sides..so now the perimeter would be the addition of each sides which in case would be 4 times 28 because it's a square. 4 times 28 gives 112m.
comeplete using distributive property (x+2x+3x)(x+4)
Answer:
6x^2 + 24x
Step-by-step explanation:
jojo is twice as Old as esi who in turn is five years older than kweku . if their total age is 47,how is each of them
Answer:
jojo is 26
esi is 13
and kweku is 8 years old.
Step-by-step explanation:
Let esi's age be x then jojo's age is 2x.
Also kweku's age is x - 5. as esi is 5 years older than kweku.
So x + 2x + x - 5 = 47
4x = 47 + 5 = 52
x = 13.
So jojo's age is 2*13 = 26 and kweku's age is 13 - 5 = 8.
i neeeeeeed help :)))))
What is the mathematical expression for seven less then a number
The city park is 9 and 2/5 km from Roland Public School. The city library is 3 and 3/10 km from the same school. How much farther from the school is the park than the library? PLS HELP
Answer:
6 1/10
Step-by-step explanation:
Convert the mixed numbers into improper fractions (denominator × whole number + numerator / denominator):
9 2/5 = 47/5
3 3/10 = 33/10
Convert improper fractions to have the same denominator:
47/5 × 2/2 = 94/10
Find the difference by subtracting the numerators:
94/10 - 33/10 = 61/10
Convert the answer into a mixed number:
61/10 = 6 1/10
find the missing side. Round it the nearest tenth.
Answer: x= 11√3= 19.0525 = 19.1
Step-by-step explanation:
Let the reference angle be 30
so
cos 30 = b/h
√3/2 = x/22
or, 22√3 = 2x
or. x = (22√3)/2
so, x = 11√3
Answer:
x = 19.1 cm
Step-by-step explanation:
→ Find the name of the side you are not given
Opposite
→ Find a formula without opposite in it
Cos = Adjacent ÷ Hypotenuse
→ Rearrange to make adjacent the subject
Adjacent = Cos × Hypotenuse
→ Substitute in the values
Adjacent = Cos ( 30 ) × 22
→ Simplify
Adjacent = 19.1