Answer:
Apple cost $0.85
Banana cost $1.2
Step-by-step explanation:
Given data
let the number of apples be x
and the number of bananas be y
Patricia bought 5 apples and 7 bananas for $12.65
5x+7y= 12.65----------1
Jose bought 10 apples and 8 bananas for $18.10
10x+8y= 18.10-----------2
solve 1 and 2 above
5x+7y= 12.65 X 2
10x+8y= 18.10 X 1
10x+14y= 25.3
- 10x+8y= 18.10
6y= 7.2
y= 7.2/6
y= 1.2
put y= 1.2 in 1
5x+7(1.2)= 12.65
5x+ 8.4= 12.65
5x= 12.65- 8.4
5x= 4.25
x= 4.25/5
x= 0.85
Hence each apple cost $0.85
Banana cost $1.2
Cynthia invests some money in a bank which pays
5% compound interest per year.
She wants it to be worth over £8000 at the end of 3
years.
What is the smallest amount, to the nearest pound, she can invest?
Answer:
£6911 is the smallest amount Cynthia should invest to get £8000 after three years
Step-by-step explanation:
lets Assume that amount needs to invested for three years = £ x Rate of Interest = R = 5% per year Duration in years = n = 3 year
Amount expected after three years when compounded annually = A = £8000 Formula for Amount of compound interest annually is a follows A = P( 1 + R/100)^n In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get 8000 = x ( 1 + 5/100)^3 ⇒8000 = x ( 105/100)^3 ⇒8000 = x ( 21/20 )^3 ⇒(8000 × 20 × 20 × 20)/(21×21×21) = x ⇒x = 6910.70≈6911
Hence £6911 is the smallest amount Cynthia should invest to get £8000 after three years
a company has 15.5×108
Answer:
1674
Step-by-step explanation:
Answer:
1674
Step-by-step explanation:
help me with this, please!!!
Answer:
17 is already a simplest form so you can do a decemil form 0.17
Step-by-step explanation:
Answer:
10.68 miles
Step-by-step explanation:
17 mile radius = 34 mile diameter
34 mile diameter x 3.14 = circumference = 106.82 miles
Pi/5 radians = 36 degrees
36(106.82)/360 = 10.68 miles
Graph the equation using the slope and y-intercept
y = 2x - 4
How do i solve this (Tamgent Segment)
Answer:
5
Step-by-step explanation:
Since DE is tangent to the circle, that means DE is perpendicular to EF
==> DF = sqrt(4^2+3^2) = 5
Find the value of x.
x =
Enter the number that belongs in
the green box.
Answer:
x=67
Step-by-step explanation:
Sum of all angles is 180
36+77+x=180
113+x=180
x=180-113
x=67
PLZZZ MARK ME AS BRAINLIEST
Basil has five numbered cards.
Two of the numbers are hidden. 4 9 9 ? ? 8
The mode of the five numbers is 8.
The mean of the five numbers is 6
c) Work out the two hidden numbers.
Answer:
The two hidden numbers are 8 and 1.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is given by the sum of all its values divided by the number of values.
Mode of a data-set:
The mode of a data-set is the value that appears the most.
In this question:
4, 9, x, y, 8
Mode is 8 means that at least one of them must be 8, so i will say x is 8 and we have:
4, 9, 8, y, 8
The mean of the five numbers is 6
This means that:
[tex]\frac{4+9+8+y+8}{5} = 6[/tex]
[tex]29+y = 30[/tex]
[tex]y = 30 - 29[/tex]
[tex]y = 1[/tex]
The two hidden numbers are 8 and 1.
Find the area of a regular hexagon with a radius 4.
Answer: 41.5692
Hope I helped :)
Y= -4+9
A.(3,-3)
B.(2,3)
C.(0,9)
D.(2,1)
E.(4,5)
Answer:
➪
⚠︎ ☻︎
ℍ ꨄ︎
The answer is E (4,5)
-4 + 9= 5
therefore y must be 5 so it is E.
What is the area of this shape
Answer:
for the first time ever since I have been working on a project with the team at work and working on a new project which is a bit of an issue with my phone hhhhhhy is an idiot for the last minute or have been trying again and it is hard enough rather that we can I become more of an idiot and Predicate the way I am now a little worried that the definitions of this year will not hold up exercises for us is a very big part and I have attached my name for your class eda can be very difficult and difficult and Ican you answer this because i do not know
Answer:
3679
Step-by-step explanation:
11,472-7,793=3679 miles left
Resuelve
14 - 15 – (-13) + 12 – (-11)
. 20 – 40 – (- 50) + 70 – 100
Which sets of ordered pairs represent functions from A to B? (Select all that apply.)
A = {0, 1, 2, 3} and B = {−2, −1, 0, 1, 2}
A. {(0, 2), (3, 0), (1, 1)}
B. {(0, 0), (1, 0), (2, 0), (3, 0)}
C. {(0, −1), (2, 2), (1, −2), (3, 0), (1, 1)}
D. {(0, 1), (1, −2), (2, 0), (3, 2)}
Please help 2/4
Solve the binomial
4(3d-1)(3d+1)
Answer:Isolate the variable by dividing each side by factors that don't contain the variable.
d=−5
Step-by-step explanation:
Find the Mean and Median for the Set of Data below: 56,79,77,48,90,68,79,92,71
Answer:
the mean is 73.3 and the median is 77
Step-by-step explanation:
for mean you add up all the values and find the average for median you line them up in number order and find the number in the middle
20.8 = 4( z+1.1)
What is Z ?
Answer:
z = 4.1
Step-by-step explanation:
(4.1 + 1.1)
(5.2)
4(5.2) = 20.8
A ==(1,2,3,4)kumesinin elemanlarıyla en az iki basamagindaki rakami ayni olan üç basamaklı kaç sayi yazilabilir
Answer:
tüm duruma (4×4×4 den 64)
(tum durum)-(tum rakamlari farklı olan üç basamaklı sayilar) =en az iki basamağı ayni olan üç basamaklı sayılar
(4×4×4)-(4×3×2)=40Triangle ABC has vertices A(-5, -1), B(5, -1), and C(0, -4). Is it scalene, isosceles or equilateral
Answer:
Isosceles Triangle
Step-by-step explanation:
Triangle ABC has vertices A(-5, -1), B(5, -1), and C(0, -4). Is it scalene, isosceles or equilateral?
We solve this question using vertices formula:
√(x2 - x1)² + (y2 - y1)² when given vertices: (x1, y1) and (x2 , y2)
For Side AB
A(-5, -1), B(5, -1)
AB = √(5 - (-5))² + (-1 -(-1))²
AB= √(5 + 5)² + (-1 + 1)²
AB = √10² + 0
AB = √100
AB = 10 units
For Side BC
B(5, -1), C(0, -4)
BC = √(0 - 5)² + (-4 -(-1))²
BC = √-5² + (-4 + 1)²
BC = √25 + -3²
BC = √25 + 9
BC = √34
For Side AC
A(-5, -1), C(0, -4).
AC = √(0 - (-5))² + (-4 - (- 1)²
AC = √5² + -3²
AC = √25 + 9
AC = √34
Therefore this triangle is an isosceles triangle because 2 of its sides (AC and BC ) are equal to one another
What is the solution to this system of equations?
4x + 5y = 7
3x – 2y = –12
what is the solution
Dfhhhftgggghguijhhjjjjjjj
Answer:
its first one
Step-by-step explanation:
Q3. Find x and y
12
X
30
60
y
Answer:
THX FOR POINTS
Step-by-step explanation:
Answer:
x = 4[tex]\sqrt{3}[/tex], y = 8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan30° = [tex]\frac{\sqrt{3} }{3}[/tex] , then
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{12}[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] ( cross- multiply )
3x = 12[tex]\sqrt{3}[/tex] ( divide both sides by 3 )
x = 4[tex]\sqrt{3}[/tex]
------------------------------------------------------------
Using Pythagoras' identity in the right triangle
y² = x² + 12² = (4[tex]\sqrt{3}[/tex] )² + 144 = 48 + 144 = 192 ( take square root of both sides )
y = [tex]\sqrt{192}[/tex] = [tex]\sqrt{64(3)}[/tex] = 8[tex]\sqrt{3}[/tex]
The store Matilda works at bought a pair of leggings for $12. They plan on selling them for $20. What percent are the leggings marked up?
Answer:
67%
Step-by-step explanation:
difference between the numbers = $8
8 ÷ 12 X 100 = 67%
If 91 is 10% of a number, what is that number? *
Answer:
910
Step-by-step explanation:
so to find 100% ( the number)
91 x 10
910 would be the number
PLEASE HURRY AND HELP ME NOW ASAP
Answer:
jdjdjdbxjx byee-
Sara rolls a fair dice 600 times.
How many times would Sara expect to roll a six?
Answer:
100
Step-by-step explanation:
possibility of getting 6 in one roll = 1/6
Possibility of getting 6 in 600 rolls = 1/ 6 x 600 = 100
I hope im right!!!
Tania wanted to watch the movie Earwig and the witch. On HBO you have to subscribe for $14.99 to be able to watch it. She has a $5 off coupon. If she uses the cupon what percent of the initial amount will she end up paying?
Answer:
aprox 33%
Step-by-step explanation:
3 less than or equal to p/12
Answer:
p greater than or equal to 36
Ignore my 1st one!
Find the value of x.
Answer:
x=9
Step-by-step explanation:
Use Pythagorean Theorem -> a^2 + b^2 = c^2
a^2 + b^2 = c^2
(12^2) + b^2 = (15^2)
144 + b^2 = 225
225 - 144 = 81
√81 = 9
x = 9
Use the greatest common factor and the distributive property to write equivalent expressions in factored form.
13ab + 15ab =
Given:
The expression is
[tex]13ab+15ab[/tex]
To find:
The equivalent expressions in factored form.
Solution:
We have,
[tex]13ab+15ab[/tex]
In the given terms 13ab and 15ab, then common factors are only a and b because 13 is a prime number. So, the greatest common factor is ab.
Distributive property of multiplication over addition:
[tex]a(b+c)=ab+ac[/tex]
By using greatest common factor and the distributive property, we get
[tex]13ab+15ab=ab(13+15)[/tex]
[tex]13ab+15ab=ab(28)[/tex]
[tex]13ab+15ab=28ab[/tex]
Therefore, the required equivalent expression is [tex]28ab[/tex].
Describe how to find the slope and y intercept of 2x+3y=6, then describe how would you graph the line.
