Answer:
Cada bombón negro cuesta $3,125 y cada bombón blanco cuesta $6,75
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones. Es decir, resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
Si compro 2 bombones de chocolate negro y 5 de chocolate blanco, la suma da $40. Si compro 4 bombones de chocolate negro y 2 de chocolate blanco, gasto $26. Siendo:
x: precio de cada bombón de chocolate negroy: precio de cada bombón de chocolate blancoEntonces el sistema de ecuaciones a resolver es:
[tex]\left \{ {{2*x+5*y=40} \atop {4*x+2*y=26}} \right.[/tex]
El método de sustitución consiste en aislar en una ecuación una de las dos incógnitas para sustituirla en la otra ecuación.
Entonces, aislando la variable x de la primer ecuación:
[tex]x=\frac{40-5*y}{2}[/tex]
Sustituyendo en la segunda ecuación:
[tex]4*\frac{40-5*y}{2}+2*y=26[/tex]
Resolviendo:
[tex]\frac{4}{2}* (40-5*y)+2*y=26[/tex]
2* (40-5*y)+2*y=26
2*40- 2*5*y+2*y=26
80- 10*y+2*y=26
- 10*y+2*y=26 -80
-8*y= -54
y= (-54)÷ (-8)
y= 6,75
Reemplazando en la expresión [tex]x=\frac{40-5*y}{2}[/tex], se obtiene:
[tex]x=\frac{40-5*6,75}{2}[/tex]
[tex]x=\frac{40-33,75}{2}[/tex]
[tex]x=\frac{6,25}{2}[/tex]
x= 3,125
Entonces, cada bombón negro cuesta $3,125 y cada bombón blanco cuesta $6,75
Natalie is flying a kite, holding her hands a distance of 2.5 feet above the ground and
letting all the kite's string play out. She measures the angle of elevation from her
hand to the kite to be 30°. If the string from the kite to her hand is 95 feet long, how
many feet is the kite above the ground? Round your answer to the nearest tenth of a
foot if necessary.
Answer:
50
Step-by-step explanation:
trust me bro
The height of the kite is 47.5 feet.
Trigonometric ratio is used to show the relationship between the sides of a triangle and its angles.
Let h represent the height of the kite. Hence, using trigonometric ratios:
sin(30) = h / 95
h = 47.5 feet
Therefore the height of the kite is 47.5 feet.
Find out more at: https://brainly.com/question/20418073
A squash ball is thrown from the top of a building and falls to the ground below. The height of the ball above the ground is approximated by the relation h=-6t^2+24t + 30, where h is the height above the ground in metres and t is the elapsed time in seconds. Determine the maximum height that is reached by the ball. Show all your work.
Step-by-step explanation:
the answer is 6 ft and all my workings are in the image above
Use the figure below, If m
Answer:
m anglw ABD answers is 50 degree
Simplify. (n−8)(n+3)
Answer:
n^2 - 5n - 24
Step-by-step explanation:
You can use FOIL to multiply the binomials.
FOIL stands for the 4 products you need to caclulate when multuiplying 2 binomials. It just reminds you todo the 4 needed multiplications.
F - first terms
O - outside terms
I - inside terms
L - last terms
F O I L
(n - 8)(n + 3) = n * n + 3 * n - 8 * n - 8 * 3
Now we simplify the products and collect like terms.
= n^2 + 3n - 8n - 24
= n^2 - 5n - 24
High population density can cause increases in competition for resources, such as food and shelter. The table shows the number of zebras living in four different regions.
A 3-column table has 4 rows. The first column has entries Region A, Region B, Region C, Region D. The second column is labeled Population of Zebras with entries 1,312, 630, 16,400, 17,800. The third column is labeled Area (kilometers squared) with entries 212, 314, 625, 902.
In which region is competition for resources most likely the greatest?
Region A
Region B
Region C
Region D
Answer: C. Region C
Step-by-step explanation: Done on edge! Hope this helps!
Solve
7x - 3x - 8 = 24
Answer:
x = 8
Step-by-step explanation:
Factor:
7x - 3x = 4x
24 + 8 = 32
32 ÷ 4 = 8
---------------------------------------------------------------------------------------------------------------
Double check:
56 - 24 - 8 = 24
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
Answer:
x = 33 / 4
Given :-
7x - 3x -9 = 24
We have to find
The value of x .
Step-by-step explanation:
Let's begin:-
7x - 3x -9 = 24
Step 1 :- Combine like terms.
4x - 9 = 24.
Step 2 :- Move constant to the right-hand and change their sign.
4x = 24 + 9.
Step 3 :- Add 24 and 9.
4x = 33
Step 4 :- Divide both side by 4.
4x / 4 = 33 / 4
Hence, x = 33 / 4
Ali cycles x km in 3 hours. If he maintains the same
average speed, how far can he cycle in y minutes?
Answer:
xy/180 km
Step-by-step explanation:
Mathematically, we have it that;
Speed = distance/ time
If he cycles x km in 3 hours
We know that ; 60 minutes = 1 hr
3 hours = 3 * 60 = 180 minutes
So the speed in km per minutes will be;
x km/180 minutes = x/180 km/minute
Recall,
Distance = speed * time
= x/180 * y = xy/180 km
Which of the following will result in a rational answer?
multiplying π by a fraction
adding the square root of a non perfect square to a whole number
adding the square root of a perfect square to π
multiplying a fraction by a repeating decimal.
Answer:
multiplying a fraction by a repeating decimal
Step-by-step explanation:
any fraction is rational
any repeating decimal is rational
therefore, product of the two would be rational
1. Brad spent $1,200 on a credit card this
month. The credit card charges 24.77%
interest compounded continuously. If
Brad does not have to pay any monthly
minimums and makes no payments, how
long will it take until Brad owes the
credit card company $2,400?
Answer:
about 3 years
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^t
Given
Amount A == $2400
Principal P = $1200
rate = 24.77% = 0.2477
Substitute the given values
2400 = 1200(1+0.2477)^t
2400/1200 = (1+0.2477)^t
2 = (1+0.2477)^t
ln 2 = tln1.2477
t = ln2/ln1.2477
t = 3.13
Hence it will take about 3 years until Brad owes the credit card company $2,400
if the ratio of the side lengths of two similar rectangular
prisms is 3/5, what would be the ratio of their areas
Given:
Ratio of the side lengths of two similar rectangular prisms is [tex]\dfrac{3}{5}[/tex].
To find:
The ratio of their areas.
Solution:
If two figures are similar then their areas are proportional to the squares of their corresponding sides.
[tex]\dfrac{A_1}{A_2}=\dfrac{s_1^2}{s_2^2}[/tex]
[tex]\dfrac{A_1}{A_2}=\left(\dfrac{s_1}{s_2}\right)^2[/tex] ...(i)
Where, [tex]A_1,A_2[/tex] are areas and [tex]s_1,s_2[/tex] are corresponding sides.
It is given that ratio of the side lengths of two similar rectangular prisms is [tex]\dfrac{3}{5}[/tex]. It means, [tex]\dfrac{s_1}{s_2}=\dfrac{3}{5}[/tex].
Using (i), we get
[tex]\dfrac{A_1}{A_2}=\left(\dfrac{3}{5}\right)^2[/tex]
[tex]\dfrac{A_1}{A_2}=\dfrac{3^2}{5^2}[/tex]
[tex]\dfrac{A_1}{A_2}=\dfrac{9}{25}[/tex]
Therefore, the ratio of their areas is [tex]\dfrac{9}{25}[/tex]. It is also written as 9:25.
Don't be rude. Answer the questoin .
Answer:
Step-by-step explanation:
3. sin^2A + cos^2A = 1 (formula )
1 + tan^2 theta = sec^2 theta (derived from the formula sec^2 theta - tan^2 theta )
b.2x = 12 (by comparing the corresponding element)
x = 12/2
x = 6
3y = 12 (by comparing the corresponding element)
y = 12/3
y = 4
mean = sum of data / no of data
4+7+5+9+11+6 / 6
42 / 6
7
mean = 7
to find median arrange the data from ascending to descending order (from smallest to biggest)
data = 3,4,6,8,10,12
median = (N +1)/2 (N means no of data )
=6 + 1/2
=7/2
=3.5
=3 th term + 4 th term /2
=6 +8 / 2
=14/2
=7 median = 7
to find value of theta
90° + 50° + theta = 180° (sum of interior angles of a triangle)
140° + theta = 180°
theta = 180° - 140°
theta = 40°
therefore theta = 40°
Hope this helps u !!
For his hiking club, Ricardo is making a container of trail mix with 3.5 kilograms of nuts. He has 1.78 kilograms of peanuts and 0.625 kilograms of almonds. The rest of the nuts will be cashews. How many kilograms of cashews does he need? Use estimation to check your answer for reasonableness.
Answer:
About 1.09 kilograms of cashews.
Step-by-step explanation:
You would add the peanuts and almonds together and subtract by the total.
The figure above is a regular hexas What is the value of x?
Answer:
A hexagon has six sides, and we can use the formula degrees = ( number of sides – 2) × j180. Then degrees = (6 – 2) × 180 = 720 degrees. Each angle is 720/6 = 120 degrees. straight angle is 180 and that one angle of hexagon 120 so 180 - 120 = 60
answer: value of x is 60 degrees
here try to figure out this problem
Answer:
2
Step-by-step explanation:
2 is the slope, it's going up 2, and right 1 which is 2/1 or just 2
Hope this helps
is this correct please help!
Answer:
Almost...
The correct answer would be
To find the area of the base, multiply 15 times 16 then divide by 2
Then multiply by 19 to find the volume of the shape
Step-by-step explanation:
The base is a triangle
The area of a triangle = base length times height divided by 2
The triangle has a base length of 16 and a height of 15
So to find the area of the base we multiply 15 times 16 and divide that by 2
The volume of a prism is equal to the area of the base times the length of the prism
The length of the prism is 19 so we would then multiply by 19
Drag the right word to the word that means the opposite
multiply
Answer:
divide is the right and exact antonym(opposite word) from multiply according to maths.
Step-by-step explanation:
this is 100% correct!
Answer:
divide
hope this helps you.
Need help on this question asap pleasee
Answer:
15 cm
Step-by-step explanation:
[tex]\frac{12}{24}[/tex] = [tex]\frac{x}{30}[/tex]
cross multiply and solve for x
or just notice that the fraction reduces to 1/2 and 15 is half of 30
the answer is in the picture
Please help!!
A diameter is 22 feet. What is the radius?
Answer:
11, take 22 and divide by 2 because radius is half
Step-by-step explanation:
hope this helps
Answer:
r = 11 ft
Step-by-step explanation:
The radius is 1/2 of the diameter
r = 1/2 (d)
r= 1/2 (22)
r = 11 ft
Find the measure of X
Answer:
7
Step-by-step explanation:
135 = 15*(x+2)
Answer:
x = 7
Step-by-step explanation:
The angles are alternate exterior angles and alternate exterior angles are equal for parallel lines
135 = 15(x+2)
Divide by 15
135/15 = 15/15(x+2)
9 = x+2
Subtract 2
9-2 = x+2-2
x = 7
How many solutions are there to the equation below?
6x + 35 + 9x = 15(x + 4) - 25
A. O
B. Infinitely many
C. 1
Answer:
Đáp án B
Step-by-step explanat
B1:X ét VT=15x +35(1)
B2Xét VP thấy 15x +35 (2)
B3 KL
Maverick wants to rent some office space for 5 years. The lease states that the
annual rent is $75,000 for the first year and will increase by 7.25% each
additional year of the lease. What will the total rent be for the entire 5-year
lease? Round your answer to the nearest hundredth.
Answer:
$106,426.01
Step-by-step explanation:
Use the compound amount equation A = P(1 + r)^t and take as your answer the total amount after 5 years. Here the principal is $75,000, the interest rate is 0.0725 and the number of years (t) is 5:
A = $75,000(1 + 0.0725)^5, or
A = $75,000(1.0725)^5, or
A = $106,426.01
Answer:
$434,907.04 or $435,179.37 depending on your teacher's rounding.
Step-by-step explanation:
The rent for the first year is given as $75,250.
For the second year, the rent will increase by 7.25%, so the rent will be:
$75250 + 0.0725 ($75,250) = $80,705.63
Using the calculation for the previous year, continue the formula.
The rent increases by 7.25% for the third year, so:
$80,705.63 + 0.0725 ($80,705.63) = $86,556.79
Fourth Year:
$86556.79 + 0.0735 (86556.79) = $92,918.71
Fifth Year:
92918.71 + 0.0735 (92918.71) = 99748.24
Add these all together to get the final rent after the 5 year lease:
75,250 + 80.705.63 + 86,556.79 + 92,918,71 + 99,748.24 = 435,179.37
If f(x) = x^3 + 2x^2-29x-30 and f(-6) = 0, then find all of the zeros of f(x) algebraically
Answer:
there are going to be three zeros.
x=-1
x=-6
x=5
The line that passes through the points (5, 3)
and (8. A) is perpendicular to the line
6x + 7y + 13 = 0. Determine the value of A.
Answer:
[tex] \frac{13}{2} [/tex]
Step-by-step explanation:
slope of the line that passes thru (5, 3) and (8, A)
[tex] = \frac{a - 3}{8 - 5} \\ \frac{a - 3}{3} [/tex]
the line that is perpendicular to the given line is
6x + 7y + 13= 0
finding the slop of this line :-
[tex]6x + 7y + 13 = 0 \\ 7y = - 6x - 13 \\ y = - \frac{6}{7} x - \frac{13}{7} [/tex]
Comparing with standard equation of a line
y = mx + c
where m is the slop and c is the y- interceptm = - 6/ 7
Since, the two lines are perpendicular to each other the product of their slopes will be - 1
[tex] \frac{a - 3}{3} \times \frac{ - 6}{7} \\ \frac{ - 2(a - 3)}{7} = - 1 \\ - 2a + 6 = - 7 \\ - 2a = - 7 - 6 \\ - 2a = - 13 \\ 2a = 13 \\ a = \frac{13}{2} [/tex]
( canceling the 2 negative signs on both the sides )
Use similar triangles to calculate the height, h cm, of triangle ABE.
10 cm
C
+
36 cm
-X Х
E
20 cm
Submit Answer
Answer: The height is about 25 cm.
A circle has a radius of 6cm. What is the area of a sector subtended by an angle of 30 degrees
Answer:
1/12 of the area of the circle
Step-by-step explanation:
Since the total angle measure of a circle is 360 degrees, a 30 degree sector is 30/360=1/12
In the diagram, the measure of angle 9 is 85°.
4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 9, 10, 11, 12; 13, 14, 15, 16.
Which angle must also measure 85°?
Angle2
Angle5
Angle11
Angle12
Answer:
Angle 5 (corresponding angle)
Answer:
B.
Step-by-step explanation:
a)gc
b)a..f
c)bc
d)ed
which one please help
Answer:
b
Step-by-step explanation:
Answer:
b......................
Step-by-step explanation:
.
Help now now the other 2 are Wednesday and Thursday
The members of a class voted to visit the zoo, museum, or science center on their next field trip. If the zoo got 33% of the vote and the science center got 29% of the vote, what percentage of the class voted for the museum?
A. 32%
B. 48%
C. 62%
D. 38%
Answer:
D
Step-by-step explanation:
100-33=67
67-29=38
38%
:3
One angle of a triangle measures 92°. The other two angles are congruent.
Enter and solve an equation to find the measure x of the congruent angles.
An equation is
= 180.
The congruent angles each measure
O'
Answer:
Each angle measures 44°.
Step-by-step explanation:
Answer:
44°
Step-by-step explanation:
180-92=88