Sophia is selling bracelets and necklaces at her stall. She sells each bracelet for $6.25 and each necklace for
$12.50. On a day she sold a total of 15 items and made $125. How many necklaces did Sophia sell?
Answer:
5 necklaces and 10 bracelets
Step-by-step explanation:
Let N and B stand for the numbers of necklaces(N) and bracelets(B) sold. The total sales would be:
Total Sales = 6.25B + 12.50N, whcu we are told amounted to $125:
$125 = 6.25B + 12.50N
We know that B + N = 15.
Rearrange this to isolate B: B = 15-N
Now use this definition of B in the first equation:
$125 = 6.25B + 12.50N
$125 = 6.25(15-N) + 12.50N
$125 = 93.75-6.25N + 12.50N
31.25 = 6.25N
N = 5 necklaces
From B+N = 15, we can find B:
B = 15 - 5
B = 10 bracelets
Check: Do 5 necklaces and 10 bracelets add up to $125??
5*($6.25) + 10*($12.50) = $62.50 + $62.50 = $125 YES
The number of bracelets and the number of necklaces if, Sophia sells each bracelet for $6.25 and each necklace for $12.50, and the total number of items sold is 15, are 10, and 5 respectively.
What is equation?
An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
Sophia sells each bracelet for $6.25 and each necklace for $12.50,
Total number of items sold = 15,
Total income made = $125,
Write the equation as shown below,
x + y = 15
Here, x is the number of bracelets and y is the number of necklaces,
6.25x + 12.5y = 125
Solve the equations by elimination method as shown below,
y = 5 and x = 15 - 5 = 10
Thus, the number of bracelets is 10 and the number of necklaces is 5.
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Solve: x + 1 > -5 (7-2x)
Answer:
x < 4
Step-by-step explanation:
Please see attached picture for full solution.
whats 8-4 I would like to know
Answer:
4
Step-by-step explanation:
Answer:
4
(○’ω’○) ↖(^ω^)↗ 囧
make d the subject of the formula c=4d+5
Answer:
ok!
Step-by-step explanation:
Write 2200 feet to 6 seconds as a rate in lowest terms. label the rate correctly.
Answer:
Step-by-step explanation:To write 2200 feet to 6 seconds as a rate in lowest terms, we can divide the distance traveled by the time taken to find the average speed of the object. The rate can then be expressed as distance per time, or feet per second.
We can write the rate as follows:
rate = distance / time = 2200 feet / 6 seconds = 367 feet per second
This is the average speed of the object in feet per second.
I don’t understand this one bit plz answer
Step-by-step explanation:
a) C,H,A,N are all its outcomes...
1.1 Study: Rational and Irrational Numbers
entify each number as rational or irrational.
Number
4 1/3
8
√13
Type
Irration number
Rational number
ocitet..
Irrational numbers are real numbers that can't be expressed as a fraction, p/q, where p and q are integers.
The numerator q does not equal zero (q≠ 0). Furthermore, an irrational number's decimal expansion is neither terminating nor repeating.Irrational numbers are all square roots that are not a perfect square. {√2, √3, √5, √8}Some well-known irrational numbers include Euler's number, the Golden ratio, and Pi. {e, ∅, ㄫ}Any prime number's square root is an irrational number.Thus, √13 is irrational number.
Rational numbers are written in the form p/q, where p and q can be any integer as well as q≠ 0 respectively. Natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers.Integers such as -2, 0, 3, and so on are rational numbers.Rational numbers are fractions with integer numerators and denominators, such as 3/7, -6/5, and so on.Thus, 4 1/3 and 8 are rational number.
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can I wear it with you?
know my name is Shin Tae
I'm from South Korea
about :
123+478= ??
thank you
Answer:
123+478= 601
Step-by-step explanation:
u r from south korea ,cool. !
Answer:
601
Step-by-step explanation:
Nine students were asked how many minutes they worked on math homework each night the results are shown 20 60 50 30 40 35 30 75 20 what are the mean and the median number of minutes spent on math homework each night
Answer:
the median number of minutes spent on math homework each night is also 40.
the mean number of minutes spent on math homework each night is 40.
Exploring the 45°-45°-90° Triangle Theorem
AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.
We have,
The given triangle is an isosceles triangle.
So,
The angles opposite to the equal sides are equal.
The other angle = 90
Now,
The sum of the triangle = 180
So,
90 + 2x = 180
2x = 180 - 90
2x = 90
x = 45
Now,
In a right triangle with ∠A = 90 degrees, ∠B = 45 degrees, and ∠C = 45 degrees, we have a special case known as a 45-45-90 triangle.
In a 45-45-90 triangle, the sides are in a specific ratio: 1 : 1 : √2.
Let's use this ratio to find the lengths of the sides:
Since AB = AC, let's denote both lengths as x.
AB = AC = x
BC is the hypotenuse, which is √2 times the length of either leg:
BC = √2x
So, the lengths of the sides are:
AB = AC = x
BC = √2 * x
Therefore,
AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.
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50 POINTS The amount of laps remaining, y, in a swimmer's race after x minutes can be represented by the graph shown.
coordinate grid with the x axis labeled time in minutes and the y axis labeled number of laps remaining with a line from 0 comma 26 and 13 comma 0
Determine the slope of the line and explain its meaning in terms of the real-world scenario.
The slope of the line is 13, which means that the swimmer will finish the race after 13 minutes.
The slope of the line is 26, which means that the swimmer must complete 26 laps in the race.
The slope of the line is negative one half, which means that the swimmer completes a lap in one half of a minute.
The slope of the line is −2, which means that the swimmer will complete 2 laps every minute.
The slope of the line is -4 which represents the swimmer will complete 4 laps per minute.
Here, we have,
In real world scenario it means how many laps they can complete per minute.
Let us consider the coordinate on the y-axis and the x-axis be ,
( x₁ , y₁ ) = ( 0, 24 )
( x₂ , y₂ ) = ( 6, 0)
The slope of a line represents the rate of change between two variables.
Here, the slope of the line represents the rate at which the number of laps remaining changes with respect to time.
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
= ( 0 - 24 ) / ( 6 - 0 )
= -4
Since the slope of the line is -4, this means that for every one minute that passes.
The swimmer completes 4 laps since the slope is negative, the number of laps remaining decreases as time increases.
So in this scenario, the slope of the line tells us that the swimmer is completing laps at a rate of 4 laps per minute.
And that they will finish the race after 6 minutes when they have completed all 24 laps.
Therefore, slope of line is -4 represents the swimmer's lap completion rate which means swimmer will complete 4 laps every minute.
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Answer:
The slope of the line is -1/2, which means that the swimmer completes a lap in 1/2 of a minute
Step-by-step explanation:
The graph is not rally shown but, if you actually see the graph there will be a rise/run of 4/2 which gives 1/2.mean of 34,56,44,200
\(\huge\text{Hey there!}\)
\(\huge\textbf{Formula:}\)
\(\mathtt{\dfrac{sum \ of \ all \ of \ the \ numbers \ in \ the \ data}{total \ numbers \ you \ have \ in \ the \ data} = mean}\)
\(\huge\textbf{Equation:}\)
\(\mathtt{\dfrac{34 + 56 + 44 + 200}{4}}\)
\(\huge\textbf{Solving:}\)
\(\mathtt{\dfrac{34 + 56 + 44 + 200}{4}}\)
\(\mathtt{= \dfrac{90 + 44 + 200}{4}}\)
\(\mathtt{= \dfrac{134 + 200}{4}}\)
\(\mathtt{= \dfrac{334}{4}}\)
\(\mathtt{= \dfrac{334\div2}{4\div2}}\)
\(\mathtt{= \dfrac{167}{2}}\)
\(\mathtt{= 83\dfrac{1}{2}}\)
\(\huge\text{Therefore your answer should be: }\)
\(\huge\boxed{\mathtt{\mathtt{83\dfrac{1}{2}}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
Find the measure of the missing angles.
Answer:
ok
Step-by-step explanation:
c is 85
360-170
190/2
95
c=85
b=95
PLEASEEEEEE HELPPPPPPPP I’ll MAKE YOU BRAINLY
When viewed from the side, the frame of a ball-return net
angles with the ground.
forms a pair of supplementary
Find m/BCE and mZECD.
Answer:
BCE= 115 ECD=65
Step-by-step explanation:
(5x+10)+(3x+2)=180
8x+12=180
8x=168
x=21
5(21)+10=115
3(21)+2=65
Answer:
<BCE=115°
<ECD=65°
And their sum is 180°
Step-by-step explanation:
< BCE + <ECD =180° ( Being sum of supplementary angle which is formed in the given diagram is 180°)
(5x + 10)° + (3x + 2)°= 180°
5x + 10 + 3x + 2 = 180°
5x + 3x + 10 +2 = 180°
8x + 12= 180°
8x = 180°-12°
8x = 168
x= 168/8
x=21°
Now,
<BCE = 5x+10
= 5*21+10
=105+10
=115
<ECD
= 3x+2
= 3*21+2
=65
I NEED HELP ASAP. ITS DUE TODAY AND IM STUCKKKKKKK
The expression for the area of the triangle is given as follows:
A = 1.5x^4 + x³ - 0.5x².
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:
A = 0.5bh.
The dimensions for this problem are given as follows:
b = 3x² - x.h = x² + x.Hence the area of the triangle is given as follows:
A = 0.5(3x² - x)(x² + x)
A = 0.5(3x^4 + 3x³ - x³ - x²)
A = 0.5(3x^4 + 2x³ - x²)
A = 1.5x^4 + x³ - 0.5x².
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PLS HELP! I'LL MAKE YOU BRAINLIEST!
Answer:
y = mx + b slope(m) = 1/2 (-2,1)...x = -2 and y = 1 now we sub and solve for b, the y int 1 = 1/2(-2) + b 1 = -1 + b 1 + 1 = b 2 = b so ur equation is : y = 1/2x + 2 <== here is one answer y - y1 = m(x - x1) (slope(m) = 1/2 (-2,1)...x1 = -2 and y1 = 1 now we sub y - 1 = 1/2(x - (-2) = y - 1 = 1/2(x + 2) <== here is another answer
Step-by-step explanation:
PLSSSSSSS HELP MEEEEEEEEEEEEEEEEE :CCC
Answer:
Day 4 and 6
Step-by-step explanation:
help, please
Given the triangle shown on the grid below, which graph shows the triangle reflected over the x-axis?
Step-by-step explanation:
Answer attached.
Hope it helps :)
Interest rates are expected to be 10% for the next 3 years and then to fall to 8% for the following 3 years. How much will an investment of Rs. 3,000 be worth at the end of 6 years?
Answer:
Below is a breakdown of the results of these different compound periods with a 10% nominal interest rate: Semi-annual = 10.250% Quarterly = 10.381% Monthly = 10.471%
find the value of m. (-3/4)-⁴×(-3/4)-¹¹ = (-3/4)^m
Answer:
m = - 15
Step-by-step explanation:
Using the rule of exponents
\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\) , then
\((-\frac{3}{4}) ^{-4}\) × \((-\frac{3}{4}) ^{-11}\) = \((-\frac{3}{4}) ^{m}\) , that is
\((-\frac{3}{4}) ^{(-4-11)}\) = \((-\frac{3}{4}) ^{m}\)
\((-\frac{3}{4}) ^{-15}\) = \((-\frac{3}{4}) ^{m}\)
Equating exponents gives
m = - 15
ILL GIVE U BRAINLESS I NEEED THE ANSWER ASAP LOL
Answer:
what is the question
Step-by-step explanation:
find x
area of the end surface
volume
total area surface
Answer:
x=13
Step-by-step explanation:
the bottom line is 11 the top line is 6 the difference is 5 hence we use the the formula 12 5 13 i mean the pythogrious formula
.- Alicia tiene una finca de 1 km2 de superficie. Dedica 28 hm2 a cultivar trigo, 3.900 dam2 a plantar olivos y el resto lo ha plantado de girasoles.¿ Cuántos metros cuadrados ocupan los girasoles?
Answer:
330 000 m²
Step-by-step explanation:
1. Area of farm
\(A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}\)
2. Area for wheat
\(A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}\)
3.Area for olive trees
\(A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}\)
4. Area for sunflowers
Total area = 1 000 000 m²
- Area for wheat = 280 000 m²
- Area for olive trees = 390 000
670 000
Area for sunflowers = 330 000 m²
Sunflowers occupy 330 000 m².
Solve the system of equations and choose the correct answer from the list of options.
d + e = 1
- d + e = - 5
Label the ordered pairs as (d,e)
1) (0,0)
2) (3, -2)
3) (-2, 3)
4) (-3, 0)
Answer:
2) (3, -2)
Step-by-step explanation:
d + e = 1
- d + e = - 5
__________+
0 +2e = -4
e = -4/2 = -2
d = 1-(-2) = 3
so, (d, e) => (3, -2)
what are the minimum, first quartile (????1)(q1) , median, third quartile (????3)(q3) , and maximum number of wins for the 32 teams in the 2016 season?
The minimum, first quartile (q1), median, third quartile (q3), and maximum number of wins for the 32 teams in the 2016 season can be determined by analyzing the data.
To find the minimum number of wins, we look for the lowest value in the dataset. Similarly, to find the maximum number of wins, we look for the highest value in the dataset.
The first quartile (q1) represents the point below which 25% of the data falls. To find q1, we arrange the data in ascending order and find the median of the lower half.
The median represents the middle value of the dataset when arranged in ascending order. If the dataset has an even number of values, the median is the average of the two middle values.
The third quartile (q3) represents the point below which 75% of the data falls. To find q3, we arrange the data in ascending order and find the median of the upper half.
By analyzing the data for the 32 teams in the 2016 season, we can determine these values. The median represents the middle value of the number of wins, while the minimum and maximum numbers of wins correspond to the lowest and highest values in the dataset, respectively.
Please note that without the actual dataset, it is not possible to provide specific values for the minimum, median, third quartile, and maximum number of wins. These values would need to be calculated based on the available data.
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use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables.
The coefficient of determination is 0.588 and the percentage of the total variation is 58.8%.
The coefficient of determination (r^2) refers to a measurement used to explain how much variability of one variable can be caused by its relationship to another related variable. It is the fit of goodness and measures how well a statistical model fits the observed data and is a number between 0 and 1. When the value of linear correlation coefficient r is known, the coefficient of determination can be computed simply by squaring r.
Hence if r = 0.767, then the coefficient of determination = r^2 = 0.588
As percentage of the total variation is same as the coefficient of determination (given in percentage) and is given by the R² value = 58.8%. Hence, about 58.8% of variation is explained by the linear relationship between the two variables.
Note: The question is incomplete. The complete question probably is: Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. r = 0.767.
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what is 2x+x+x+2y×3y×y simplified
Answer:
4x+6y³
Step-by-step explanation:
give me thanks, please;)
Answer:
NOTHING
Step-by-step explanation:
you have a gift card worth $90. You want to but several movies that cost $12 each. Write and solve an inequality that repersents the number of movies you can buy and still have least $30 on the gift card.
Anyone know the answer to this question?
9514 1404 393
Answer:
140°
Step-by-step explanation:
The value of the exterior angle (x°) is the sum of the other two angles shown. These are known as "remote interior angles."
x° = 64° +76°
x° = 140°
_____
Additional comment
This relationship derives from the fact that the exterior angle and the adjacent interior angle have a sum of 180° (they are a linear pair). We also know that the adjacent interior angle and the other two given angles have a sum of 180°.
If we call the unknown interior angle U, these relations are ...
64 + 76 + U = 180 . . . . sum of angles in a triangle
x + U = 180 . . . . . . . . . . sum of angles in a linear pair
Comparing these two equations, we see that ...
64 + 76 = x
Select the correct answer. What is l-14l ? A. B. C. D. E.
Answer:
A
Step-by-step explanation: