Answer: $120
First, create a function
x = number of weeky = amount of money in savingsa = amount of money added each weekb = the amount of money in savings at week 0[tex]\left \{ {{5a+b=45} \atop {12a+b=80}} \right.\\\\(5-12)a+(1-1)b=45-80\\\\-7a=-35\\\\a=\frac{-35}{-7} =5\\\\5a+b=45\\\\5(5)+b=45\\\\b=45-25=20[/tex]
Therefore, the function is y = 5x + 20
To find the amount of money at week 20, set x = 20 and solve:
[tex]y=5(20)+20=100+20=120[/tex]
Therefore, the answer is $120.
Answer ASAP please!
Answer:
e. is incorrect
sin (x)= f/e
What is the length of segment AB
A) 3
B) [tex]\sqrt{20}[/tex]
C) [tex]\sqrt{41}[/tex]
D) 9
Answer: [tex]\large \boldsymbol {C) \ AB=\sqrt{41} }[/tex]
Step-by-step explanation:
The formula for the distance between points:[tex]\bf AB= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] Coordinates of point A (0;5 ); coordinates of point B(4;0)[tex]\bf AB= \sqrt{(0-4)^2+(5-0)^2} =\sqrt{16+25} =\sqrt{41}[/tex]
Một ôtô đi từ A đến B với vận tốc 60km/h và đi từ B về A với vận tốc 45km/h. Thời gian cả đi và về hết 7giờ. Tính quãng đường AB
Please explain in english
Answer:
Đáp án: 180km
Step-by-step explanation:
Giải thích các bước giải:
Gọi quãng đường AB là x (km)
(x > 0)
Thời gian ô tô đi từ A -> B là x/60 (h)
Thời gian ô tô đi từ B -> A là x/45 (h)
Vì thời gian cả đi và về hết 7h
=> x/60 + x/45 = 7
=> x = 180 (TM)
Vậy quãng đường AB là 180 km
(a+2b)^2
.............
Answer:
a^2 +4ab+4b^2
Step-by-step explanation:
(a+2b)^2
(a+2b)(a+2b)
FOIL
first: a*a = a^2
outer: a*2b = 2ab
inner: 2b*a = 2ab
last: 2b*2b = 4b^2
Add them together
a^2 +2ab+2ab+4b^2
Combine like terms
a^2 +4ab+4b^2
Answer:
Solution given:
(a+2b)²
we have
by using formula
(a+b)²=a²+2ab+b²
so
we get
a²+2*a*2b+(2b)²
=a²+4ab+4b²
A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table shows the data:
Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31
Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)
Answer:
Hello,
Step-by-step explanation:
Part A:
Yes
Since
y=f(x)
f(0)=4
f(1)=7 : f(1)=f(0)+1*3
f(2)=10= 7+3 : f(2)=f(1)+3 =f(0)+2*3
f(3)=13=10+3: f(3)=f(2)+3=f(0)+3*3
...
f(9)=31=28+3=f(8)+3=f(0)+9*3
f(n)=f(0)+n*3=4+n*3
Part B: y=3x+4
Part C: slope=3 , y-intercept=4
The slope indicate the grow of the plant (how many cm does it grow in function of the height it receives)
y-intercept indicate the original height of the plant.
1. $25; 30% increase
Answer:
32.5
Step-by-step explanation:
25, percentage increased by 30% (percent) of its value = 32.5
The area of a square of side X is 8. What's the area of a square of side 3x
Answer:
Step-by-step explanation:
We know, for square
[tex](side)^2=(Area)\\=>X^2=8\\[/tex]
∴[tex]X=2\sqrt{2}[/tex] unit
[tex]Now, Side=3X[/tex]
[tex]Then,Area=(3X)^2=(3*2\sqrt{2} )^2=(6\sqrt{2} )^2=72 sq. unit[/tex]
hope you have understood this...
pls mark my answer as the brainliest
The area of square of side 3X is 72 square unit.
What is square?The square is a 4 sided figure, each side of the square is equal and make a right angle.
The area of square having sided a unit can be given by a² square unit.
Given that,
Area of square having side X is 8.
Since, formula for area of square having side X is X².
Implies that,
X² = 8
X = 2√2
The area of square having side 3X
side =3 × 2√2
side = 6√2
The area of square = (6√2)²
= 36 x 2
= 72
The area of square is 72 square unit.
To know more about Square on:
https://brainly.com/question/28776767
#SPJ2
A candy jar contains several small pieces of candy:
• 5 miniature peanut butter cups
• 7 dark chocolate candy bars
• 8 gummy worms
Roger randomly selected one piece of candy from the jar.
Problem
Read aloude What is the probability in decimal form that the candy Roger selected was NOT a gummy worm?
Answer:
12/20 = 60%
Step-by-step explanation:
The probability that the candy Roger selected was NOT a gummy worm;
P(Not a gummy worm) = 0.6
We are told the quantity of candies in the jar is as follows;
Miniature peanut butter cups = 5
Dark Chocolate bars = 7
Gummy worms = 8
Total number of candy bars = 5 + 7 + 8
Total number of candy bars = 20
Probability is found as; number of possible outcomes/number of events.
P(randomly selected is a gummy worm) = 8/20
P(randomly selected is a gummy worm) = 0.4
Thus, probability that it was not a gummy worm = 1 - 0.4Probability that it was not a gummy worm = 0.6
Read more at; https://brainly.com/question/13160116
The sum of three times a number and 6 is 4 times the difference of a number and "-3"
Answer:
x = 30
Step-by-step explanation:
i hope it help, sorry if its wrong
A person walks on average 4000 steps per day. If one step is about 2 feet long, how much would the average person walk per week? HELP
Answer:
56000 ft
Step-by-step explanation:
4000 steps a day.
7 days in a week.
2 ft per step
so, we calculate how many steps in a week
4000 × 7 = 28000
and then we calculate the distance by saying each of these steps is 2 ft
so,
28000 × 2 = 56000 ft
as a little extra thought :
there are 5280 ft in a mile.
so, the person walks
56000 / 5280 miles = 10.61 miles
in a week.
Can somebody help me please.
An average woman walks at a speed
of 255 feet per minute. At this rate,
how far would Mrs.
ft
Hill walk in an hour?
Answer:
15,300 ft or 2.9 miles
Step-by-step explanation:
Distance = Rate * Time (but rate and time must be in the same units)
convert hours to minutes
1 hr * 60 min/hr = 60 min
then
D = 255 ft/min * 60 min
D = 15,300 ft
if you want miles, convert ft to miles (5280 ft per mile)
15,300 ft * 1 mi/5280 ft
2.9 mi
(5x+1)(5x-1) what is the answer
[tex]\\ \rm\Rrightarrow (5x+1)(5x-1)[/tex]
[tex]\\ \rm\Rrightarrow (5x)^2-(1)^2[/tex]
[tex]\\ \rm\Rrightarrow 25x^2-1[/tex]
Answer: 25x²-1
i have attached a graph of it if you need it :)
Find the value of x.
Answer:
[tex]\textsf{x=22.5}[/tex]
Step-by-step explanation:
[tex]\textsf{According to intersecting tangent - secant theorem,}[/tex]
[tex]\textsf{x=1/2[(4x+5)-50]}[/tex]
[tex]\textsf{2(x)=4x+5-50}[/tex]
[tex]\textsf{2x=4x-45}[/tex]
[tex]\textsf{2x-4x=-45}[/tex]
[tex]\textsf{-2x=-45}[/tex]
[tex]\textsf{x= -45/-2}[/tex]
[tex]\textsf{x=22.5}[/tex]
[tex]\textsf{OAmalOHopeO}[/tex]
Which inequality is represented by the graph?
Will give branilest
Answer:
It will be -6≤×≤4
Please help!!!!!!!!!!!!!!!!
Answer:
.2
Step-by-step explanation:
There are 5+6+4+7+5+3 = 30 total
Girl who likes burgers = 6
P(Girl who likes burgers) = 6/30 = 1/5 = .2
Solve d−85=p for d .
Answer:
d = p + 85
Step-by-step explanation:
We don't have a lot to go on for this problem. We have two undefined variables.
In order to solve for d, we need to isolate it:
d - 85 = p
Add 85 to both sides
d = p + 85
Can someone help me please?
Answer:
p(a) =|2a+2|
p(–9) = | 2 (–9) +2 | = | –18 +2 | = | – 16 | = + 16
I hope I helped you^_^
What must be added to each term of the ratio 2:5 so that it maay be equal to 5:6
please explanation needed
Let the adding value be x
ATQ
[tex]\\ \sf\longmapsto \dfrac{2+x}{5+x}=\dfrac{5}{6}[/tex]
[tex]\\ \sf\longmapsto 6(2+x)=5(5+x)[/tex]
[tex]\\ \sf\longmapsto 12+6x=25+5x[/tex]
[tex]\\ \sf\longmapsto 6x-5x=25-12[/tex]
[tex]\\ \sf\longmapsto x=13[/tex]
A walker has travelled 9 km along a trail. If he has completed 80% of the trail, how much further does he still have to go?
Answer:
2.25 km to go
Step-by-step explanation:
In order to get this answer, you have to figure out how many km 10% is, 0.1125. Then multiply that by the remaining 20% because he already finished 80% of the trail. So, 0.1125 x 20 = 2.25.
Hope this helps! :)
The HCF of 85 and 95
Answer:
So the greatest common factor 85 and 95 is 5.
Step-by-step explanation:
We will now calculate the prime factors of 85 and 95, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85 and 95.
We will first find the prime factorization of 85 and 95. After we will calculate the factors of 85 and 95 and find the biggest common factor number .
Step-1: Prime Factorization of 85Prime factors of 85 are 5, 17. Prime factorization of 85 in exponential form is:
85 = 5^1 × 17^1
Step-2: Prime Factorization of 95Prime factors of 95 are 5, 19. Prime factorization of 95 in exponential form is:
95 = 5^1 × 19^1
Step-3: Factors of 85List of positive integer factors of 85 that divides 85 without a remainder.
1, 5, 17
Final Step: Biggest Common Factor NumberWe found the factors and prime factorization of 85 and 95. The biggest common factor number is the GCF number.
So the greatest common factor 85 and 95 is 5.
PLEASE PLEASE PLEASE PLEASE HELPME I *REALLY* NEED HELP!!!
(ALL LINKS WILL BE REPORTED)
Which of the following pairs of triangles can be proven similar through SSS similarity? PHOTO ATTACHED :))
Answer:
A
Step-by-step explanation:
since there are 3 corresponding sides shown, the SSS similarity theorem can be utilized.
125 Children get one pen, there are 8
pens in a pack. How many pens are
needed?
Answer:
16 packs
Step-by-step explanation:
Take the number of children and divide by the number of pens in a pack
125/8
15.625
We need to round up to get the number of packs
16 packs
Answer:
125 pens and 16 packs.
Step-by-step explanation:
Given:
Each child gets 1 pen.There are 125 children.Each pack has 8 pens.Each child gets 1 pen, so there needs to be 125 pens.
Since there are 8 pens in a pack, there will need to be:
125 / 8 = 15.62
Estimate:
16 packs
There needs to be 16 packs for the 125 children.
Find the discount and the selling price, when:
(ii) the printed price =₹12750, discount= 25/3%
Answer:
12,741.66666
Step-by-step explanation:
12750 - 25/3%
= 12,741.66666
Given that a company's basic work week is 40 hours. If an employee works 48 hours for the week. How many hours of overtime did they do?
Answer:
it would be 48-40=8 so it would be 8 hours of overtime
common ratio of the geometric sequence 6,42,294
9514 1404 393
Answer:
7
Step-by-step explanation:
If there is a common ratio, it can be found by finding the ratio of any two adjacent terms:
42/6 = 7
The common ratio is 7.
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!!
Bryan is getting trained and licensed to be a truck driver. He only has $350 in his bank account. The training is free but gas costs 13 cents per mile. If he travels 1,254 miles, how much money will he have left in his bank account?
A. $186.98
B. $127.32
C. $64.83
D. $206.17
Answer:
186.98
Step-by-step explanation:
The cost of gas is the cost per miles times the number of miles
1254 * .13
163.02
Subtract this from the amount in the bank account
350-163.02
186.98
PLS HELP THIS IS DUE TODAY
Answer: You can find after i explain how
Step-by-step explanation:
Add the x's together
So the problem is 6x + 1 =
This is a triangle so it = 180
6x + 1 = 180
__________
Subtract 1 from itself so 6x crosses out
Then subract 1 from 180
Which = 179
Now, divide 6 from both sides 6x is crosses out
You are left with x = (the number you got when dividing 179 / 6)
Answer ASAP please!
Which of the following statements is correct?
A :sin 42° = cos 52°
B:sin 90° = cos 90°
C:cos 30°= sin 70%
D:sin 80º = cos 10°
E:cos 60°= cos 30
Answer:
D
Step-by-step explanation:
A. Sin 42=0.669
Cos=52=0.617
B. Sin 90=1
cos 90=0
C. cos30=0.866
sin 70=0.940
D. sin80=0.985
cos 10=0.985
Find X.
Use angle center circle page for reference.
Explain your answer.
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
Refer to the diagram below for letter names of points.
Using the theorem provided on the second image, we can conclude that [tex]m\angle AOC=2*m\angle ABC=2*100\textdegree = 200\textdegree[/tex]. Keep in mind that this is the reflex [tex]\angle AOC[/tex].
Because [tex]O \in DC[/tex], we know that [tex]DC[/tex] is a diameter by definition, which makes [tex]m\angle DOC = 180\textdegree[/tex].
Using the Angle Addition Postulate, we can write the following equation:
[tex]m\angle AOD+m\angle DOC=m\angle AOC[/tex]
Substituting the measures of each angle into the equation gives us:
[tex]x\textdegree + 180\textdegree = 200\textdegree[/tex]
Solving the equation for [tex]x[/tex] gives us:
[tex]x\textdegree + 180\textdegree = 200\textdegree[/tex]
[tex]x\textdegree + 180\textdegree - 180\textdegree = 200\textdegree - 180\textdegree[/tex] (Subtract [tex]180\textdegree[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]x\textdegree = 20\textdegree \rightarrow \bf x=20[/tex] (Simplify)
Remember that [tex]x=20[/tex], not [tex]20\textdegree[/tex] because the degree symbol was already given in the original expression. Hope this helps!
