Answer:
x=12
Step-by-step explanation:
im not 100% but i think you would get the answer by setting the equations equal to one another.
4x+6=2x+30
2x=24
x=12
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.
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]
when a certain number is added to 11 and the result is multiplied by 3, the final result is 45 . find the number
Answer:
4
Step-by-step explanation:
Let the number = x
Added to 11 = 11+x
Multiply result by 3 = 3(11+x)
Final result = 45
Solving
3(11 + x) =45
33 +3x = 45
3x= 45-33
3x=12
X=4 by dividing both side by 3
Amy, a nature photographer, randomly sampled photographs she took within the last year. She wanted to find out how many of her photographs contained flowers. The proportion of photographs that had flowers was 0.61, with a margin of error of 0.04. Construct a confidence interval for the proportion of her photographs taken within the last year contained flowers.
The Constructed confidence interval for the proportion of her photographs taken within the last year contained flowers is
[tex]CI\ E(0.57,0.65)[/tex]
From the question we are told that:
The proportion of photographs that had flowers P= 0.61
Margin of error of M.E= 0.04
Generally, the equation for Confidence interval for proportion is mathematically given by
[tex]CI=0.61 \pm 0.04[/tex]P \pm M.E
Therefore Confidence interval is
[tex]CI=0.61 \pm 0.04[/tex]
And can also be written as
[tex]CI\ E((0.61+0.04),0.61-0.04))[/tex]
[tex]CI\ E(0.57,0.65)[/tex]
In conclusion the Confidence interval is
[tex]CI\ E(0.57,0.65)[/tex]
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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.
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!
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]
P-LS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The difference between the largest and smallest value in a data set is the _____________.
A. interquartile range
B. range
C. median
D. mode
Answer:
range
Step-by-step explanation:
The difference between the largest and smallest value in a data set is the range
Answer:
Range
Step-by-step explanation:
I hope this will help you buddy
Use the figure to find the radius.
the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
Answer:
Width: 160
Length: 80
Step-by-step explanation:
Width = 2x and length = x
X + 0.5x + 2x - 0.4x = 248
3.1x = 248
X = 248/3.1
X = 80
Width = (2)(80) and length = 80
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
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
I need help can someone help me out
Answer:
C' (-1,-2)
V' (-2,2)
N' (2,0)
Answered by GAUTHMATH
comeplete using distributive property (x+2x+3x)(x+4)
Answer:
6x^2 + 24x
Step-by-step explanation:
need help asap today by 5
Answer:
I put a photo of the answers.
Step-by-step explanation:
For the problems, I turned the whole under into a fraction, flipped the second fraction and multiplied.
Which type of transformation is this?
The type of transformation in this situation is refelction on the x-axis.
It cannot possibly be translated or rotated around the origin.
Hope this helps!
Have a wonderful day!
7x+2y=19
7x+8y=13
Please solve it by Simultaneous method
Answer:
y=-1
x=3
Step-by-step explanation:
7x+2y=19-----(1)
7x+8y=13------(2)
(1)-(2)
(7x+2y)-(7x+8y)=19-13
7x+2y-7x-8y=6
+2y-8y=6
-6y=6
y=-1
by substitute in (1)
7x+2*(-1)=19
7x-2=19
7x=19+2
7x=21
x=21/3
x=3
Jay has a jar of beads. 6 purple beard, 8 blue beads, and 4 yellow beads. If he removes one bead at random, what is the probability that it will not be yellow?
You get a pie chart to do percentages just so you dont cheat you still can do work y'know
-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!
Tìm các chữ số a, b , c biết a/-5=b/-7=c/2 và a-b+c=-28
Answer:
a=35,b=49,c=-14
Step-by-step explanation:
[tex]\frac{a}{-5} =\frac{b}{-7} =\frac{c}{2} =r(say)\\a=-5r,b=-7r,c=2r\\a-b+c=-5r+7r+2r=4r=-28\\r=\frac{-28}{4}=-7\\a=-5 \times -7=35\\b=-7 \times -7=49\\c=2 \times -7=-14[/tex]
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
By visual inspection, determine the best-fitting model of the three types of regression for the data plot below.
A. Quadratic
B. Exponential
C. Linear
D. None of the above
Answer:
B. exponential
Step-by-step explanation:
The graph is clearly decreasing exponentially, shown by the downward curve. Therefore, the answer should be B.
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
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]
(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
If give 7 billions for 7 millions people. What is total?
Answer:
this is a very big number
Step-by-step explanation:
(7000000000)⁷⁰⁰⁰⁰⁰⁰
4 glue sticks cost $7.76.
Which equation would help determine the cost of 13 glue sticks?
Answer:
price = 7.76/4 * 13
Step-by-step explanation:
Divide $7.76 by 4 to find the price of one glue stick.
Then multiply that by 13.
price = 7.76/4 * 13
An Olympic swimming pool is 25 meters long. How long is the pool in yards?
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
Difference of the square of (x+6)(x+4)
Answer:
x^2 + 10x + 24
Step-by-step explanation:
(x+6)(x+4)
x^2 + 4x + 6x + 24
x^2 + 10x + 24