Answer:
[tex]7.2b+6.5>4.8b-8.1[/tex]
Multiply both sides by 10
[tex]72b+65>48b-81[/tex]
Subtract both sides by 65
[tex]72b>48b-146[/tex]
Subtract both sides by 48b
[tex]24b>-146[/tex]
Divide both sides by 24
[tex]b>-\frac{73}{12}[/tex]
OAmalOHopeO
Tính : 2020^3-1/2020+2021
Answer:
2020³-1/4041
Step-by-step explanation:
pls answer quickly before 3:30
Plz solve question 12
Answer: C
Step-by-step explanation:
To solve for 12, we can use eliminate or substituion to solve our system of equations. Let's use elimination method.
[tex]\left \{ {{3f-2k=10} \atop {-3f-2k=14}} \right.[/tex]
Let's add the equations together. This way, 3f+(-3f)=0
[tex]-4k=24[/tex] [divide both sides by -4]
[tex]k=-6[/tex]
Now that we know k, we can plug it into either equation to find f.
[tex]3f-2(-6)=10[/tex] [multiply]
[tex]3f+12=10[/tex] [subtract both sides by 12]
[tex]3f=-2[/tex] [divide both sides by 3]
[tex]f=-\frac{2}{3}[/tex]
Now that we have f and k, we know that C is the correct answer.
Which numbers are integers? Check all that apply.
4
Negative 1 and one-third
-10
2.5
-4
0.ModifyingAbove 13 with Bar
Answer:
4,-10.-4
Step-by-step explanation:
intergers are whole numbers
Answer:
4
-10
-4
Step-by-step explanation:
got it right on edge
Can someone please help me out Its really Important please marking brainliest
Answer:
Q1. Volume of the prism
= 75(20)(14) cm3
=21000 cm3
Volume of the cylinder
= π(75^2)(120)cm3
=2120575cm3 (cor. to nearest int.)
The cylindrical bale has a greater volume.
Q3a. Volume of the pyramid
=(1/3)(40)(64)(64)m3
=54613 m3 (cor. to nearest int.)
Q3b. Volume of air per person
=(1/3)(40)(64)(64)(1/5000) m3
=10.9 m3 (cor to 3 sig fig)
exponential form of (30 + 20) x 50
Answer:
50^(2)
Step-by-step explanation:
(30+20)*50=50*50=50^(2)
If x^2-ax+b and x^2-cx+d both have a factor x-m prove that m=d-b/c-a
Answer:
see explanation
Step-by-step explanation:
Given (x - m) is a factor of both then x = m make both expressions equal to zero.
m² - am + b = 0
m² - cm + d = 0
Then
m² - am + b = m² - cm + d ( subtract m² - cm from both sides )
cm - am + b = d ( subtract b from both sides )
cm - am = d - b ← factor out m from each term on the left side
m(c - a) = d - b ← divide both sides by (c - a)
m = [tex]\frac{d-b}{c-a}[/tex] ← as required
which choice is equivalent to the expression below? 7x√2 - 4√2 + x√2
A. 6x√2 - 3√2
B. 5x^2√2
C. 3x√2
D. 8x√2 - 4√2
Answer:
D
Step-by-step explanation:
[tex]8x \sqrt{2} - 4 \sqrt{2} [/tex]
Find the missing segment
please solve this problem
if f(x) = 2x ^ 2 - x + 1 , g(x) = x ^ 2 + 3x - 3 and f(x) = g(x) , then find the possible value of x.
Step-by-step explanation:
Hey there!
Here;
f(x) = 2x²-x+1
g(X) = x²+3x-3
Since f(X) = g(X);
2x²-x+1 = x²+3x-3
2x²-x²-x-3x+1+3 = 0
x²-4x+4 = 0
(x-2)² = 0
Therefore, the value of X is 2.
Hope it helps!
Step-by-step explanation:
Explanation is in the attachment
Hope it helpful to you
At the performance of Seussical the Musical at your local high school, there are adult tickets and
student/child tickets. You're trying to remember the cost of each to tell your extended family to come see the
musical. Your friend, her mom, and her little sister paid a total of $23 on opening night, and you know that
another family paid $39 for two adults and three students. If 2 is cost of adult tickets and y is cost of student tickets, the two equations for these situations can be written as:
Answer:
The correct answer is -
x+2y = 23
2x+3y= 39
Step-by-step explanation:
given:
cost of family 1 = 23
number of adults in family one = 1
number of children = 2
cost of family 2 = 39
number of adults in family 1 = 2
number of children = 3
solution:
for the first condition of family one-
In this case, there is only one adult and 2 children and they paid 23 then if the adult cost is x and the children ticket cost is y then
number of adults*x+number of children*y = total cost
1*x + 2*y = 23
x+2y= 23 .......equation 1.
for family two:
In this case, there is two adult and 3 children and they paid 39 then if the adult cost is x and the children ticket cost is y then
number of adults*x+number of children*y = total cost
2*x + 3*y = 39
= 2x+3y = 39....... equation 2
thus, the correct equations are:
x+2y = 23
2x+3y= 39
Please help me determine this guys
Bài 2: Cho ∆ABC có AB AC = , M là trung điểm của BC . Trên tia đối của tia MA lấy điểm D sao cho MA = MD .
a) Chứng minh : ∆ ABM =∆ DCM .
b) AB // DC
c) AM ⊥ MC
d) Tìm điều kiện ∆ABC để góc ADC =30 °
Luke is swimming in still water at a constant speed of 3 meters/second.
If you graph this relationship with time along the x-axis and distance along the y-axis, the slope of the line representing this relationship is
.
A point on this line that corresponds to the distance Luke swam in 45 seconds is
Answer:
1. velocity
Step-by-step explanation:
that is the answer above
Convertir 675 Faren a Kelvin (Con ecuaciones porfavor)
Answer:
(675°F − 32) × 5/9 + 273.15 = 630.372K
Hope it's right if not so sorry :)
Help quickly PLEASE In a probability experiment, Eric flipped a coin 39 times. The coin landed on heads 26 times. What is the ratio of heads to tails in this experiment?
A. 3/2 B.1/2 C. 3/2 D 2/1
Answer: 2/1 (Choice D)
Explanation:
He flipped the coin 39 times, of which 26 heads came up. That must mean 39-26 = 13 tails came up.
The ratio of heads to tails is 26/13 = 2/1
We can write that as 2:1 to mean similar notation. The key is that we list heads first since the phrasing is "ratio of heads to tails", where heads is listed first. If you had tails first, then it would flip to 1/2 aka 1:2
can i get some help solving this
Answer:
A =147 cm^2
Step-by-step explanation:
A = pi r^2
The radius is 7 and let pi = 3
A = 3*7^2
A = 3*49
A =147
Someone help me with this question please it would help me a lot !!!
Answer:
x intercept ( -40,0)
y intercept ( 0,15)
Step-by-step explanation:
The x intercept is where it crosses the x axis. The y value is zero
(-40,0)
The y intercept is where it crosses the y axis. The x value is zero
(0,15)
A candidate for one of Ohio's two U.S. Senate seats wishes to compare her support among registered voters in the northern half of the state with her support among registered voters in the southern half of the state. A random sample of 2000 registered voters in the northern half of the state is selected, of which 1062 support the candidate. Additionally, a random sample of 2000 registered voters in the southern half of the state is selected, of which 900 support the candidate. A 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is:
Answer:
The 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is (0.05, 0.112).
Step-by-step explanation:
Before building the confidence interval, the central limit theorem and subtraction of normal variables is explained.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Northern half:
1062 out of 2000, so:
[tex]p_N = \frac{1062}{2000} = 0.531[/tex]
[tex]s_N = \sqrt{\frac{0.531*0.469}{2000}} = 0.0112[/tex]
Southern half:
900 out of 2000, so:
[tex]p_S = \frac{900}{2000} = 0.45[/tex]
[tex]s_S = \sqrt{\frac{0.45*0.55}{2000}} = 0.0111[/tex]
Distribution of the difference:
[tex]p = p_N - p_S = 0.531 - 0.45 = 0.081[/tex]
[tex]s = \sqrt{s_N^2 + s_S^2} = \sqrt{0.0112^2 + 0.0111^2} = 0.0158[/tex]
Confidence interval:
The confidence interval is:
[tex]p \pm zs[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower bound of the interval is:
[tex]p - zs = 0.081 - 1.96*0.0158 = 0.05[/tex]
The upper bound of the interval is:
[tex]p + zs = 0.081 + 1.96*0.0158 = 0.112[/tex]
The 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is (0.05, 0.112).
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
A jar contains 5 blue marbles, 2 black marbles, and 7 brown marbles.
Answer:
5/13
five blue marbles, but one blue removed thus 5/13
Step-by-step explanation:
Answer:
C 5/13
Step-by-step explanation:
In order to make a profit, a retailer will mark up the cost of an item. If the cost of the item is $42 but it is sold for
$89, what is the mark up rate for the item?
Round your answer to the whole percent.
Hi everyone, I’m currently trying to dive into some lessons before school starts and I’m taking algebra 2 this year and the lessons that I am currently studying about is imaginary numbers. I had a few questions so if anyone could help me out that’d be great! Starting off, while watching the video, the guy explaining says that j^4 = 1 because it is like j times j^3 and I’m just confused because I don’t understand where they got the 1 from…
HELP ASAP ILL GIVE BRAINLIST
t/f Elimination will give you an exact answer to a system of equations.
t/f If substituting the test point produces a false solution, we shade on the opposite side of the line.
Answer:
TRUE Elimination will give you an exact answer to a system of equations.
FALSE If substituting the test point produces a false solution, we shade on the opposite side of the line.
Câu 1: Cho tam giác MNP cân tại P thì:
A. MN = MP B. PM = NP C. PN = PN D. Không có cạnh nào bằng nhau.
Answer:
B. PM = NP
Step-by-step explanation:
One pipe can fill a pool in 6 hours. The second pipe can drain the pool in 18 hours. How long will it take to fill the pool if both pipes are working?
one pipe 6 hours fill
two pipe 6 ÷2= 3 hours
Answer:
x=9
Step-by-step explanation:
Graph the system of inequalities. Then state whether the situation is infeasible, has alternate optimal solutions, or is unbounded. (Assume that x>0 y>0
Answer:
x
[tex]x \leqslant - y + 1[/tex]
Steps are show in the picture above.
Edwina and georgia had the same number of bottles.Edwina and georgia had a mix of big bottles and small bottles.Edwina had 5 small bottles while georgi had 16 big bottles.Each small bottles had a a capacity of 400 ml.Each big bottles had a capacity of 600 ml.The total capacity of edwina's bottles was 800 ml more than the total capacity of georgia's bottles
Answer:
20 big bottles
14000 ml
Step-by-step explanation:
Let :
Small bottles = x ; big bottles = y
Capacity of small bottle = 400ml
Capacity of big bottle = 600 ml
Edwina :
Number of small bottles = 5
Georgi :
Number of big bottles = 16
Since Numbe of bottles are siad to be the same :
5 + y = 16 + x
y - x = 16 - 5
y - x = 11
y = 11 + x - - - (1)
Total capacity of Edwina's bottle is 800 ml more Than Georgi's total :
Edwina :
5(400) + 600y
Georgi :
400x + 16(600)
2000 + 600y = 800 + 400x + 9600
2000 + 600y = 10400 + 400x
600y - 400x = 10400 - 2000
600y - 400x = 8400 - - - (2)
Substitute y = 11+x for y in (2)
600(11+x) - 400x = 8400
6600 + 600x - 400x = 8400
200x = 8400 - 6600
200x = 1800
x = 1800 / 200
x = 9
Number of big bottles Edwina has :
y = 11 + x
y = 11 + 9
y = 20
Total capacity of Edwina's bottles :
5(400) + 600y
2000 + 600(20) = 2000 + 12000 = 14000 ml
5/√2+9/√8-2√50+√32 rationalise the denominator and simplify
The simplification of the expression is [tex]\frac{15\sqrt{2} }{4}[/tex]
How to rationalize the denominatorFirst, find the factors of the number that ahs square root
Given,
= [tex]\frac{5}{\sqrt{2} } + \frac{9}{\sqrt{6} } - \frac{2}{\sqrt{50} } + \sqrt{32}[/tex]
Multiply the numerators by the surd of the denominators
= [tex]\frac{5 *\sqrt{2} }{\sqrt{2}*\sqrt{2 } } + \frac{9 *\sqrt{8} }{\sqrt{8}* \sqrt{8} } - \frac{2 *\sqrt{50} }{\sqrt{50 * \sqrt{50} } } + \sqrt{32}[/tex]
Multiply through and find their square root
= [tex]\frac{5\sqrt{2} }{2} + \frac{18\sqrt{2} }{8 } - \frac{10\sqrt{2} }{50} + 16\sqrt{2}[/tex]
To simply, we have
= [tex]\frac{5\sqrt{2} }{2}+ \frac{9\sqrt{2} }{4} + \frac{1\sqrt{2} }{5} + 16\sqrt{2}[/tex]
Find the LCM
= [tex]\frac{10\sqrt{2} + 45\sqrt{2}+ 4\sqrt{2} + 16\sqrt{2} }{20}[/tex]
Add through
= [tex]\frac{75\sqrt{2} }{20}[/tex]
= [tex]\frac{15\sqrt{2} }{4}[/tex]
Thus, the simplification of the expression is [tex]\frac{15\sqrt{2} }{4}[/tex]
Learn more about surds here:
https://brainly.in/question/4594146
#SPJ1
b) The price of a radio is marked as Rs 7,500. If the shopkeeper allows 20 % discount and adds 13 % VAT, how much will a customer pay for the radio?
Answer:
the customer should pay Rs.6780 including VAT.
Step-by-step explanation:
here,
Marked price(MP)=7500
Discount(D)=20%
VAT=13%
now,
selling price(SP)=MP-D%of MP
=7500-20×7500/100
= 7500-1500
= Rs 6000
again,
SP with VAT = SP +VAT of SP
= 6000+13×6000/100
=6000+780
=Rs.6780
hence,
the customer should pay Rs. 6780 including VAT.
