Answer:
Step-by-step explanation:
Biking is x and bussing is y. We know that the total distance is 325. Thus, the first equation in this system is
x + y = 325 (which says that the km traveled by bike plus the km traveled by bus totaled 325 km).
We also know that the pair biked 75 km more than they rode, giving us the second equation in our system:
x = y + 75. Now we use simple substitution and plug y + 75 in for x in the first equation:
(y + 75) + y = 325 and
2y + 75 = 325 and
2y = 250 so
y = 125 km. They rode the bus for 125 km and biked for 325 - 125 which is 200. And the difference is 75 km, as it should be!
Joe and Becky are buying fish for their new aquarium. The expression 3g + 4a represents the cost in dollars of buying fish
where 'g' is the number of guppies purchased and 'a' is the number of angel fish purchased. Find the cost of fish if they buy 12 guppies and 4 angel fish. Explain your work.
Answer:
$52
Step-by-step explanation:
Find the cost by plugging in 12 as g and 4 as a into the expression:
3g + 4a
3(12) + 4(4)
36 + 16
= 52
So, the cost will be $52
A rectangle has a length that is 8 less than it’s width w the perimeter is 52 which equation can be used to determine length
Answer:
width?
8-W-52
2(w-8) +2w=52
(W-8)+W=52
2(8-W) +2w=52
Ivan and Tanya share £150 in the ratio 4 : 1
Work out how much more Ivan gets compared to Tanya.
Answer:
Step-by-step explanation:
120 : 30
ivans get £90 more
Express in simplest form -45%
Answer: hello, your answer is -0.45
a=7 c=25 b=? plz help
Answer:
b=24
Step-by-step explanation:
b= [tex]\sqrt{a^{2}-x^{b} }[/tex]
\sqrt(125)-\sqrt(45)+\sqrt(5)
ans=3\sqrt(5)
Answer:
what?
Step-by-step explanation:
........................
what is the nth term of 1/3 4/7 7/11 2/3
Answer:
[tex]\frac{1+3(n-1)}{3+4(n-1)}[/tex]
Step-by-step explanation:
First find the pattern.
1/3 gets 5/21 added to it but doing that to 4/7 does not get 7/11, so it's nto normal adding.
if you multiply 1/3 gets 12/7, but if you multiply that by 4/7 you don't get 7/11 so it's not normal multiplcation.
I would next try only adding to the numerator and denominator separately.
so 1/3 gets 3 added to the 1 and 4 added to the 3. Doing that again gets us (4+3)/(7+4) = 7/11 and doing it again gets us 10/15 = 2/3. So that is the right answer.
So we know what is happening. if you start with 1/3 and increasingthe numerator by 3 and denominator by 4 then we know it's going to look like (1+3(n-1))/(3+4(n-1)) because the first term is when n=1 and we want that to cancel out. You can also simplify it and get (3n-2)/(4n-1)
Let me know if it doesn't make sense.
Which expression is equivalent to 24x2 - 22x + 5?
Answer:
C
Step-by-step explanation:
Given
24x² - 22x + 5
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 24 × 5 = 120 and sum = - 22
The factors are - 12 and - 10
Use these factors to split the x- term
24x² - 12x - 10x + 5 ( factor the first/second and third/fourth terms )
= 12x(2x - 1) + 5(2x - 1) ← factor out (2x - 1) from each term
= (12x - 5)(2x - 1) ← in factored form → C
Mary's bicycle tire has a radius of 40 cm. How far has Mary travelled if her tire has made 50 complete rotations?
Answer:
60009=hh
Step-by-step explanation:
Put these numbers in order from least to greatest.
0.1, 1/2, and 0.2
Answer:
0.1, 0.2, 1/2
Answer:
0.1<0.2<0.5(1/2)
hope it helps
have a nice day
A group of students were surveyed to find out if they like playing tennis or volleyball in PE class. The results are shown in the table:
Complete the table and answer the following questions.
a. What percentage of the total students surveyed like both
Volleyball and Tennis?
b. What is the probability that a student who likes
Volleyball does not like Tennis?
Answer:
a) 41.666...%
b) 10/120 or 1/12
Step-by-step explanation:
50 students like volleyball and tennis out of 120 students surveyed. 50/120 as a percent is 41.6666666...%
10 students like volleyball but not tennis out of 120 students surveyed. 10/120 can also simplify to 1/12
:) ur welcome
supplementary angles measure _____ degrees?
my answer
90°to 180°degrees
The formula for the nth term of a sequence is 3n +7
What is the 6th term in the sequence?
Answer:
6th term = 25
Step-by-step explanation:
3n + 7
3 x (6) + 7
18 + 7 = 25
If this helps you, please mark brainliest!
Have a nice day!
Answer:
[tex]25[/tex]
Step-by-step explanation:
[tex] Tn_{n} = 3n + 7 \\Tn _{6} = 3 n + 7 \\ = 3 \times 6 + 7 \\ = 18 + 7 \\ = 25[/tex]
Hope this helps you
Have a nice day!
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of .2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components operate independently. Find the probability that a exactly two of the four components last longer than 1000 hours. b the subsystem operates longer than 1000 hours.
Answer:
a. 0.1536
b. 0.9728
Step-by-step explanation:
The probability that a component fails, P(Y) = 0.2
The number of components in the system = 4
The number of components required for the subsystem to operate = 2
a. By binomial theorem, we have;
The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;
P(Y = 2) = [tex]\dbinom{4}{2}[/tex] × 0.2² × 0.8² = 0.1536
The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536
b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working
Therefore, we have;
P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)
P(Y = 0) = [tex]\dbinom{4}{0}[/tex] × 0.2⁰ × 0.8⁴ = 0.4096
P(Y = 1) = [tex]\dbinom{4}{1}[/tex] × 0.2¹ × 0.8³ = 0.4096
P(Y = 2) = [tex]\dbinom{4}{2}[/tex] × 0.2² × 0.8² = 0.1536
∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728
The probability that the subsystem operates longer than 1,000 hours = 0.9728
The graph shown is a scatter plot:
Which point on the scatter plot is an outlier?
Answer:
D is the outlier
Step-by-step explanation:
An outlier is a point that is far from the other points
We can draw a line that roughly represents an equation for the points
A,B ,C are all near the line
D is not along the line
Describe the graph of the proportional relationship between the two quantities and describe how the unit rate is represented on the graph. Bananas are $2.40 per pound.
a
The graph of y = 24x , which is a line passing through (0, 0) with a slope of 24; the slope 24 is the unit rate of each pound of bananas.
b
The graph of y = 2.4x , which is a line passing through (0, 0) with a slope of 2.4; the slope 2.4 is the unit rate of each pound of bananas.
c
The graph of y = 5.8x , which is a line passing through (0, 0) with a slope of 5.8; the slope 5.8 is the unit rate of each pound of bananas.
d
The graph of y = 2.4 + x , which is a line passing through (0, 0) with a slope of 2.4; the slope -2.4 is the unit rate of each pound of bananas.
Given:
Bananas are $2.40 per pound.
To find:
The graph and unit rate on the graph.
Solution:
Let y be the total cost of x pounds of bananas.
Cost of 1 pound of banana = $2.40
Cost of x pound of bananas = $2.40x
So, the required equation for the given situation is:
[tex]y=2.4x[/tex]
The graph of [tex]y=2.4x[/tex] describes the proportional relationship between the two quantities.
The graph of [tex]y=2.4x[/tex] is a line passing through (0, 0) with a slope of 2.4; the slope 2.4 is the unit rate of each pound of bananas.
Therefore, the correct option is (b).
Answer:
a
Step-by-step explanation:
what is the hcf of 12 45 and 75
Answer:
3
HCF of 12, 45 and 75 by Prime Factorization
As visible, 12, 45 and 75 have only one common prime factor i.e. 3. Hence, the HCF of 12, 45 and 75 is 3.
Step-by-step explanation:
please give answer of 6 number
Answer:
[tex]7,500[/tex]
Step-by-step explanation:
Let's solve this problem step-by-step. The library had 1,500 books in 2011. The ratio of books in 2011 and in 2012 is 1:2. Therefore, let the number of books in 2012 be [tex]x[/tex].
We have the following proportion:
[tex]\frac{1}{1,500}=\frac{2}{x},\\x=2\cdot 1,500=3,000[/tex]
Therefore, there were 3,000 books in 2012. The ratio of books in 2012 and in 2013 is 2:5. Let the number of books in 2013 be [tex]y[/tex].
We have:
[tex]\frac{2}{3,000}=\frac{5}{y},\\2y=5\cdot 3,000,\\2y=15,000\\y=\boxed{7,500}[/tex]
Therefore, there were 7,500 books in 2013.
Answer:
7,500 books
Step-by-step explanation:
The sum of two numbers is 45. One number is 9 more than the
other one. Find the numbers.
Answer:
27+18=45
Step-by-step explanation:
x+y=45
x+9=y
(x+9)+x=45
(18+9)+18=45
27+18=45
The value of the two numbers 'x' and 'y' will be 18 and 27., respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The sum of the two numbers is 45. One number is 9 more than the other one.
Let the two numbers be 'x' and 'y'. Then the equations are given as,
y = x + 9 ...1
x + y = 45 ...2
From equations 1 and 2, then we have
x + x + 9 = 45
2x = 36
x = 18
The value of the variable 'y' is given as,
y = 18 + 9
y = 27
The value of the two numbers 'x' and 'y' will be 18 and 27., respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Sarah buys a car for £23,000.
It depreciates at a rate of 3% per year.
How many years will it take to be worth less than £20,000?
Answer:
4.61 years
Step-by-step explanation:
hope it helped!
Please help quickly!
Answer:
the answer is 2.8
Step-by-step explanation:
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
Given:
[tex]\frac{3x}{5} -0.5=1.9[/tex]
Add 0.5 to both sides
[tex]\frac{3x}{5} =2.4[/tex]
Multiply 5 from both sides
[tex]3x=12[/tex]
Divide both sides by 3
[tex]x=4[/tex]
Hope this helps
1
Select the correct answer from each drop-down menu.
The function () = 13 has been transformed, resulting in function h.
h(t) = -(1 + 2)2 – 4
To create function h, function fwas translated 2 units
„. translated 4 units
and reflected across the
Answer:
To create function h, function f was translated 2 units right , translated 4 units up and reflected across the x axis
Step-by-step explanation:
Given
[tex]f(x) = x^3[/tex]
[tex]h(x) =-(x + 2)^3 - 4[/tex]
Required
Complete chart
First: f(x) was translated right by 2 units
The rule of right translation is [tex](x,y) \to (x + 2,y)[/tex]
So, we have:
[tex]f'(x) = f(x + 2)[/tex]
[tex]f'(x) = (x + 2)^3[/tex]
Next: f'(x) was translated up by 4 units
The rule of down translation is [tex](x,y) \to (x,y+4)[/tex]
So, we have:
[tex]f"(x) = f'(x) +4[/tex]
[tex]f"(x) = (x + 2)^3 +4[/tex]
Lastly, f"(x) was reflected across the x-axis;
The rule of this reflection is: [tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]h(x) = -f"(x)[/tex]
[tex]h(x) = -[(x+2)^3 + 4][/tex]
Remove bracket
[tex]h(x) = -(x+2)^3 - 4[/tex]
Circle A has a radius of 4 centimeters.
13 subtracted from a number is at most 10
Step-by-step explanation:
[tex]13 - x \leqslant 10[/tex]
[tex]3 \leqslant x[/tex]
Please please help me
Answer:
may be the answer is 1000.not sure.
Answer:
answer is c 1600
hope it helps
According to the Bureau of Labor Statistics, healthcare occupations is projected to grow from approximately 13.6 million jobs in 2018 to about 15.5 million jobs in 2028. Healthcare occupations are projected to add more jobs than any of the other occupational groups. This projected growth is mainly due to an aging population, leading to greater demand for healthcare services.
Answer:
The correct answer is "14%".
Step-by-step explanation:
Given:
Jobs in 2018,
= 13.6 million
Jobs in 2028,
= 15.5 million
Now,
In healthcare occupation, the projected percent increase will be:
= [tex]Increase \ in \ jobs\times \frac{100}{No. \ of \ jobs \ in 2018}[/tex]
By putting the values, we get
= [tex](15.5-13.6)\times \frac{100}{13.6}[/tex]
= [tex](1.9)\times \frac{100}{13.6}[/tex]
= [tex]13.97[/tex] (%)
or,
= [tex]14[/tex]%
Answer:
its 14
Step-by-step explanation:
i got it right
Calculate the length of line segment XY in each triangle.
Please No Docs/No File Only real answer
25 points and a 5 star rated
Answer:
XY = 10 cm
Step-by-step explanation:
XY is a midsegment and is half the length of the 3rd side DE, that is
XY = [tex]\frac{1}{2}[/tex] DE = [tex]\frac{1}{2}[/tex] × 20 = 10 cm
pls help in this
7.6x5.2
Answer:
39.52
Step-by-step explanation:
Answer:
Table multiplication:
7.6 times
5.2 =
15.2
38.0
—-
39.52
Pls Solve
2/5 × (-3/7) - 1/6 × 3/2 +1/14 × 2/5
Answer:
-11/28
Step-by-step explanation:
Following BODMAS:
(2/5 * -3/7) - (1/6 * 3/2) + (1/14 * 2/5)
= (-6/35) - (1/4) + (1/35)
= 1/35 - 6/35 - 1/4
= -5/35 -1/4
= -55/140
= -11/28
is (6,3) a solution to this system of equations y=3x - 3 3x - y =3
Answer:
It is not a solution
Step-by-step explanation:
Plug the point into the equations and check to see if they are true
y=3x - 3
3 = 3(6) -3
3 = 18-3
3 = 15
False
We do not need to check the other equation since this is false
