Step-by-step explanation:
a+b+c=78
b=10+a
c=2b
then, we back the first
a+10+a+2b=78
2a+2b=78- 10
2a+2(10+a)=68
2a+2a=48
4a=48
a=12
b=22
c=44
9.
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 15
A. 3, –5
B. 3.74, 4
C. 4, –4
D. 15, –17
Answer:
x = 3 , x = -5
Step-by-step explanation:
Given x^2 +2x=15 add 1 to both sides to get:
x^2 + 2x + 1 =16
(x+1)^2 = 16
x + 1 = ± [tex]\sqrt{16}[/tex] = ± 4
x = -1 ± 4
x = 3 or x = -5
You would like to know how effective a diet program is at helping people lose weight. 18 over-weight people are randomly selected to participate in the program. They are weighed before and after the program and the results are listed below. Do these results give evidence that the diet program is effective at the 1% significance level?
Answer:
There is not enough evidence to support the claim that drug is effective at 1%
Step-by-step explanation:
For this we use the pored test as we have dependent test;
Difference :
10,5,-5,3,-3,4,2,-3,0,10,8,-2,3,-2,5,5,4,0
Hypothesis :
H0 : μd = 0
H0 : μd ≠ 0
The mean of d, dbar = Σd / n = 44 / 18 = 2.44
The standard deviation, Sd = 4.45 (using calculator)
The test statistic, T : dbar / (Sd/√n)
T = 2.44 / (4.45/√18)
T = 2.44 / 1.0488750
T = 2.326
Degree of freedom, df = n - 1 ; 18 - 1 = 17
The Pvalue = 0.0326
α = 0.01
Since Pvalue < α ; we fail to reject H0
PLEASE HELP ASAP ON THESE TWO QUESTIONS BLESS YOUR HEART IF YOU HELP ME 9) Look for two points and find the sloope.
10) Plot the given points and find the slope.
Answer:
the two points are (-3,-3
Step-by-step explanation:
You must first check if the line is a straight line two the you check the intersection of the two points and the write it
The difference of a number and 11
Answer:
x - 11
Step-by-step explanation:
"A number" is the same thing as a variable.
Answer:
x-11
Step-by-step explanation:
What type of number is
[tex] \sqrt{7} [/tex]
O A rational number O A whole number O An irrational number O A decimal that ends
Answer:
C
Step-by-step explanation:
It's not rational. It can't be represented as a fraction.
It can't be a decimal the ends. If I told you want the hundredth digit was, you could not establish the 101st digit.
If you try to find the square of 7 using the calculator that comes with winds, you get an answer that goes out to 2 followed by the decimal followed by 31 digits. You cannot find a pattern nor can you find an ending.
sqrt(7) is irrational.
You flip a coin and roll a six-sided die. What is the
probability of flipping heads and rolling a number greater
than or equal to 5?
Answer:
The probability of flipping heads is 1/2
The probability of rolling 5 or more is 1/3.
So the total probability is 1/2 x 1/3 , which is 1/6.
Let me know if this helps!
Answer:
1/6
Step-by-step explanation:
The probability of flipping heads is 1/2
The probability of rolling 5 or more is 1/3.
So the total probability is 1/2 x 1/3 , which is 1/6.
Х
49°
x=
degrees
PLEAIEJEHEHEHDJDJDJDI
Answer:
Step-by-step explanation:
Exterior equals the sum of opposite interior angles
x = 49 + 90
x = 139°
42 deliveries in 3 hours = deliveries per hour
Answer:
14 deliveries per hour
Step-by-step explanation:
42/3
14
The person makes 14 deliveries per hour
Answer:
14
Step-by-step explanation:
42 / 3 = 14
A baker used 12 cups of batter to make muffins. It took 2/3 of a cup of batter to make one muffin. How many did the baker make?
Answer:
8 cups
Step-by-step explanation:
1 cup = 2/3
so,2/3 x 12 = 8 cups
Answer:
8 cups
Step-by-step explanation:
e Reasons Y...
SIVARI Leaming su...
Solve for 2. Round to the nearest tenth, if necessary.
х
K
J
63°
I
PLS HELP
Answer:
x = .5
Step-by-step explanation:
Since we have a right triangle, we can use trig functions
tan theta = opp / adj
tan 63 = 1/x
x tan 63 = 1
x = 1/ tan 63
x=0.50952
Rounding to the nearest tenth
x = .5
find the lenght of the missing side:
Answer:
x=15.73292
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 70 = x / 46
46 cos 70 =x
x=15.73292
Answer:
15.73
Step-by-step explanation:
cos(x) = adjacent leg / hypotenuse
cos(70) = x / 46
0.342 = x / 46
0.342 x 46 = x
x = 15.73
Is 6272 a perfect square? If not find the smallest number by which it must be divided so that the product becomes a perfect square.
Answer:
(2^7)*(7^2)
Step-by-step explanation:
2*2*2*2*2*2*2*7*7=6272where2 is the smallest number by which it becomes a perfect square
Jillian bought 3 pounds of apples for $3.09 per pound. she then bought 6 pounds of peanuts for $0.87 per pound. How much did Jillian spend all together?
Answer:
Jillian spent $14.49 altogether.
Step-by-step explanation:
Let a = pounds of apples, p = pounds of peanuts, and t = total cost
t = 3.09a + 0.87p
t = 3.09(3) + 0.87(6)
t = 9.27 + 5.22
t = 14.49
helpppp: write the rule that describes the composition of transformations
simultaneous equation
Answer:
(55/38,-16/19)
Step-by-step explanation:
4x -5y = 10
2x + 7y = -3
4x -5y = 10
-4x -14y = 6
-19y = 16
y = -16/19
2x -112/19 = -57/19
x = 55/38
Which expression is equivalent to….
Answer:
the answer is {2^5}
hope it helps :)
(2^1/2×2^3/4)^2
(2^(2/4+3/4))^2
(2^5/4)^2
2^(5/4×2)
2^(5/2)
√2^5
Answered by Gauthmath must click thanks and mark brainliest
0.4 x 10 =....
1.25 x 10 =
97.465 x10 =
Answer:
0.4 × 10 = 4
1.25 × 10 = 12.5
97.465 × 10 = 974.65
PLEASEE HELP ASAP........
Answer:
(C). 126
Step-by-step explanation:
[tex]\frac{45}{x}[/tex] = [tex]\frac{65}{182}[/tex]
x = 126
Answer:
Hello,
Answer C\\
Step-by-step explanation:
Triangle EUT is similar to triangle EGF
[tex]\dfrac{EU}{EG} =\dfrac{ET}{EF} \\\\\dfrac{140-90}{140} =\dfrac{45}{EF} \\\\\\EF=\dfrac{45*140}{50} \\\\\\RF=126\\\\Answer\ C\\[/tex]
Which graph represents the function? f(x)=5√x
Step-by-step explanation:
Since the x is inside of the square root, the x value must be positive. This makes x {0,infinity). Yet, when square rooting x, you should have both a negative and a positive value for y. So, this should be your graph.
I will mark you as BRAINLIEST Please help me out here!!
Step-by-step explanation:
C1:
The pattern for this: you add 1/2 every time.
C2:
3, 3 1/2, 4, 4 1/2
C3:
5 1/2
C4:
The 14th
C5:
10
D1:
You add twice as more than you did before, starting at 3.
D2:
48, 96, 192, 384
D3:
192
D4:
The 9th
D5:
384
Hope this all helps.
Answer:
C)
1) As the sequence progresses, each term in the sequence increases by 1/2. 2) 3 ; 3 1/2 ; 4 ; 4 1/2
3) The 10th term in the sequence is 5 1/2.
4) 7 1/2 is the 14th term in the sequence.
5) The 17th term is 9.
D)
1) As the sequence progresses, each term multiplies by 2.
2) 48 ; 98 ; 192 ; 384
3) The 7th term in the sequence is 192.
4) 768 is the 9th term in the sequence.
5) The 8th term in the sequence is 384.
Step-by-step explanation:
FOR C : 1 + 1/2 = 1 1/2, 1 1/2 + 1/2 = 2, 2 + 1/2 = 2 1/2, and so on. This pattern tells me the rule of the sequence. Continue this sequence to answer 1, 2, 3, 4, and 5.
FOR D: 3 x 2 = 6, 6 x 2 = 12, 12 x 2 = 24, and so on. This pattern tells me the rule of the sequence. Continue this sequence to answer 1, 2, 3, 4, and 5.
A. Determine if a given set ie a well-defined or not.
1. the set of all poor people in batangas.
2. the set of books well-liked by my classmate.
3. the set of handsome teachers in your school.
4. the set of whole numbers greater than 8 but less than 20.
5. the set of intelligent students.
Answer:
Step-by-step explanation:
1. yes
2. No
3. No
4. Yes
5. I have no idea about this one, but I think its not a well defined set
Given the function g(x) = x2 + 10x + 18, determine the average rate of change of
the function over the interval -11 < x < -1.
Answer:
-2.
Step-by-step explanation:
Average rate of change of the function = [ f(-1) - f(-11)] / [(-1 - (-11)]
= [(-1)^2 + 10*-1 + 18 - ((-11)^2 + 10*-11 + 18)] / 10
= (1 - 10 + 18 - (121 - 110 + 18) / 10
= (9 - (29) /10
= -20/10
= -2.
Answer:
Step-by-step explanation:
The answer is +2 or 2.
find LCM of 60,40 and 90
Answer:
Step-by-step explanation:
Prime factorize.
60 = 2 *2 * 3 * 5 = 2² * 3 * 5
40 = 2 * 2 * 2 *5 = 2³ * 5
90 = 2 * 3 * 3 * 5 = 2 * 3² * 5
LCM = 2³ * 3² * 5 = 8 * 9 * 5 = 360
name the property that the following statement illustrates 84+8=8+84
Answer:
the commutative property of addition :)
What is the quotation of 6 and -1/2?
1. -12
2. -1/12
3. 1/12
4. 12
Answer: Option 2: -1/12
Explanation
= -1/2÷6
= -1/2×1/6
= -1/12
Must click thanks and mark brainliest
PLS HELP ME
Given that the universal set.
U = {X : 30 ≤ X ≤ 40. X is an even number}.
P = {X : X is a multiple of 4}
and Q = {X : X is a number such that the sum of its digits is an odd number}.
find n(P∩Q')
A. 1
B. 2
C. 3
D. None of the above
Given that
U = {X : 30 ≤ X ≤ 40. X is an even number}.
so Mathematically
U = {30,32,34,36,38 40}.
P = {X : X is a multiple of 4}
P = { 4,8,12,16,20,24,28,32,36,40,44,........}
and Q = {X : X is a number such that the sum of its digits is an odd number}.
Q = {12,14,16,18,21,23,25,27,29,30,32,34,36,38,41,43,45,..........}.
(Q')= U-Q ={40}
(P∩Q')= {40}
n(P∩Q')= 1
(Q') is Q complement which means a set containing those elements of the universal set which are not element of the set Q.
(P∩Q') is a set containing those elements of set P and Q complement which are common to both sets.
n(P∩Q') denotes the number of elements in a set containing those elements of set P and Q complement which are common to both sets which has only 1 element which is 40.
So the best answer is part A = 1.
https://brainly.com/question/11439790
https://brainly.com/question/13729460
Which of the following is an irrational number
o 18
o 2.6
o π
o -16/3
Answer:
pi
Step-by-step explanation:
A rational number can be written as a fraction
18/1 is a fraction
2.6666666 can be written as 2 2/3 = 8/3
-16/3 is a fraction
pi is a non repeating non termination decimal which is irrational
Answer:
The answer is π
Step-by-step explanation:
An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio.
Samuel takes 5 hours to make a table and a chair. He takes 9 hours to make 3 chairs
and a table. How much time does he take to make a table?
Answer:
3 hours
Step-by-step explanation:
t = time to make a table
c = time to make a chair
t + c = 5
t+3c = 9
Subtract the second equation from the first
t+3c = 9
-(t + c = 5)
-----------------------
2c = 4
Divide by 2
2c/2 = 4/2
c =2
2 hours for the chair
t+c = 5
t+2 = 5
t = 5-2
t = 3hours
Answer:
It takes 3 hours to make a table.
Step-by-step explanation:
Table and chair : 5 hours
Table and 3 chairs : 9 hours
(Table and 3 chairs) - (Table and chair) = (2 chairs)
9 hours - 5 hours = 4 hours
2 chairs : 4 hours / 1 chair : 2 hours
Table and chair : 5 hours
Chair : 2 hours
Table: x hours
5 - 2 = 3
Table : 3 hours
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The data value that occurs most often in the data set is the ____________.
A. mean
B. median
C. mode
D. range
y-5=m(x-6) solve for m
5 + -6m + mX,
If you like, I can explain a bit more!
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{m= \frac{y-5}{x-6}}; \text{ } x\neq 6[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'm'...}}\\\\y-5=m(x-6)\\------------\\\rightarrow m(x-6) = y-5\\\\\rightarrow \frac{m(x-6)=y-5}{(x-6)}; x\neq 6\\\\\rightarrow \boxed{m= \frac{y-5}{x-6}}; \text{ } x\neq 6[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
