Taking into account the definition of a system of linear equations, Celia has 58 coins in her bank, 13 dimes and 45 quarters.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
In the systems of equations, the values of the unknowns must be found, with which, when replaced, they must give the solution proposed in both equations.
Amount of each coinIn this case, a system of linear equations must be proposed taking into account that:
"d" is the amount of dimes."q" is the amount of quarters.You know:
Celia has 58 coins in her bank, all dimes and quarters. Altogether the value is $12.55.So, the system of equations to be solved is
d + q= 58
0.10d + 0.25q= 12.55
It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, Isolating the variable "d" from the first equation, we obtain:
d= 58 -q
Substituting in the second equation you get:
0.10× (58-q) + 0.25q= 12.55
Solving:
0.10×58 - 0.10q + 0.25q= 12.55
5.8 - 0.10q + 0.25q= 12.55
- 0.10q + 0.25q= 12.55 -5.8
0.15q= 6.75
q= 6.75÷ 0.15
q= 45
Remembering that d=58 - q, you get:
d= 58 - 45
d= 13
Finally, she has 13 dimes and 45 quarters.
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I need help!!! number says 5 btw
The car drive 36,666.66 miles in 5 year.
What is Speed?Speed = Distance/Time Distance = Speed X TimeTime = Distance / SpeedGiven:
A car drove 22, 000 miles in 4 months.
So, in one year the car drive
= 22,000 x 4/12
and, in 5 year the Car drove
= 22,000 x 4/12 x 5
= 36,666.66 miles
Hence, the car drive 36,666.66 miles.
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8 grades, help please!!!
Answer:
Step-by-step explanation:
no it isnt
use the day tool to graph f(x)=-|x+2|
The vertex of the absolute function is at (-2, 0). Then the graph of the absolute function f(x) = - |x + 2| will be drawn below.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
If the vertex of the absolute function is at (h, k). Then the absolute function is given as
f(x) = | x - h| + k
The equation is given below.
f(x) = - |x + 2|
Then the absolute function is written as,
f(x) = - (x + 2), x ≥ -2
f(x) = - [- (x + 2)], x < -2
f(x) = (x + 2), x < -2
The vertex of the absolute function is at (-2, 0). Then the graph of the absolute function f(x) = - |x + 2| will be drawn below.
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 so does anyone know the answer to this image please show the steps along with it.
The transformations of the parent cube function to the function g(x) = -2(x + 4)³ - 5 are given as follows:
Reflection over the x-axis.Vertical stretch by a factor of 2.Translation left 4 units.Translation down 5 units.What are the transformations?The parent cube function is given as follows:
f(x) = x³.
The transformed cube function is given as follows:
g(x) = -2(x + 4)³ - 5.
Hence the transformations are given as follows:
Multiplication by -2: vertical stretch by a factor of 2 and reflection over the x-axis, due to the negative number with absolute value of 2.x -> x + 4: translation left 4 units.y -> y - 5: translation down 5 units.More can be learned about transformations at https://brainly.com/question/29209050
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Naomi had a blast at the water park, even though she was 3 inches too short to ride the biggest slide, The Water Slinger. Naomi is 49 inches tall.
Let h represent the minimum height for The Water Slinger. Which equation models the problem?
The diameter of each wheel on a Formula
One race car is 26 in. If the tires must be
changed after 150,000 rotations, how many
miles will the race car travel on 1 set of tires?
Note: 12 in. = 1 ft; 5280 ft = 1 mile
A formula one race car will travel for 193.45 miles before changing its tires.
From the case, we know that:
tires diameter = 26 in.
1 set of tires = 150,000 rotations
12 in = 1 ft
1 miles = 5280 ft
We need to find the circumference of the tires before finding the total travel length.
Circumference = πd
Circumference = π(26in)
Circumference = 81.714 in.
We need to find the tires circumference in mile scale:
Circumference = 81.714 in : (12 inc/ft) : (5280 ft/miles)
Circumference = 0.0013 miles
Total travel distance = tires circumference x rotations
Total travel distance = 0.0013 x 150,000
Total travel distance = 193.45 miles
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The manager of a local radio station wants to find out what type of music people in
the area like the most. She surveys every 10th person leaving a country music
concert held near the radio station.
Is this sample likely to be representative of the population? Explain.
Answer:
No, this sample is not likely to be representative of the population. The sample only includes people who attended a country music concert, which means it does not include people who prefer other genres of music. Therefore, the survey results would likely be biased towards country music, and not necessarily reflective of the general population's music preferences.
Which of the following describes the transformation from Figure 1
to Figure 2
The translation from figure 1 to figure 2 is 4 units to the left and one unit up.
Which transformation is applied from figure 1 to figure 2?Here we have two figures, the blue one is figure 1 and the orange one is figure 2.
Clearly we have a translation here, to identify the translation just analyze one of the vertices.
The top vertex at the blue figure is (2, 1)
The top vertex at the orange figure is (-2, 2)
The translation is given by:
T = (-2, 2) - (2, 1) = (-4, 1)
So we have a translation of 4 units to the left and one unit up.
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Answer:
Step-by-step explanation:
answer is a
consider this series. 16+24+36+54+... does the series converge or diverge? select answers from the drop-down menus to correctly complete the statement
The series 16+24+36+54+... diverges.
Divergent series are those that contain an infinite series that never converges and an infinite sequence of partial sums with no finite limit. In contrast, a series is considered to be convergent when its limits converge to its finite range of values. A limit that is finite in nature and exists for the partial sum of the series is crucial since only at that point will the series converge.
The given series in question 16 + 24 + 36 + 54 + deviates from the series. 16n, where n is the number of terms, can be used to denote the series' overall term. The total of the terms in the series also increases as n increases since 16n grows along with n, too. This indicates that the series diverges since it does not reach a particular finite value.
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Bob had $300 in his bank account. He wrote 3 checks for exactly $20, then deposited $50. What is the overall change to his bank account?
Answer: He has 290 dollars.
Step-by-step explanation:
3 x 20 is 60
300-60 is 240
240 + 50 is 290.
The overall change is 110 dollars.
hen reading a buret with graduated markings at every 0.1 ml, your recorded volume should read to which place? hundredths. thousandths. tenths.
When reading a buret with graduated markings at every 0.1 ml, your recorded volume should read to a) hundredths place.
Definition and Function of the BuretteA burette is a long tube-shaped glass instrument with scale lines like a measuring pipette or measuring cup with the same cross section from top to bottom. At the bottom of this tool is equipped with a faucet as a place for the solution to come out at the mouth of the burette.
The function of the burette is as a tool to measure the solution based on the volume released. The burette size usually has a volume of 25 / 50 ml.
If the burette is being used, it must be supported firmly with a stand equipped with clamps to clamp the burette. Make sure that when clamping the burette in the stand and clamp the position of the burette must be perpendicular so that the scale reading is correct and does not cause paralax errors.
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there are six members on a student council. two of these members will serve on a spring formal committee. how many possible spring formal committees are there?
There are 30 different combinations of two members who can be selected to serve on the spring formal committee.
Permutation is the arrangement of elements in a specific order. In this scenario, the elements are the six members of the student council, and the order in which they are arranged is important.
To find the number of permutations, we use the formula nPk, where n is the number of elements and k is the number of elements we want to arrange.
In this case, n = 6 and k = 2,
so we have
=> 6P2 = 6!/(6-2)!
=> 6!/(4!) = 6 x 5/1 = 30.
So, there are 30 possible spring formal committees that can be formed from the six members of the student council.
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(1) I'm stuck with my math pls help me find the x and the y show ur steps
Answer:
Step-by-step explanation:
1=3x3)=9+2=11
7. Kiran iS playing a video game. He earns 3 stars for each easy level he completes and 5
stars for each difficult level he completes. He completes more than 20 levels total and
earns 80 or more stars.
The inequalities that represent the situation will be x + y > 20 and 3x + 5y > 80.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Kiran iS playing a computer game. He procures 3 stars for each simple level he finishes and 5 stars for each troublesome level he finishes. He finishes in excess of 20 levels altogether and procures at least 80 stars.
Let 'x' be the number of easy levels and 'y' be the number of difficult levels. Then the equations are given as,
x + y > 20
3x + 5y > 80
The inequalities that represent the situation will be x + y > 20 and 3x + 5y > 80.
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a rectangular container with a square base, an open top, and a volume of 1,372 cm3 is to be made. what is the minimum surface area for the container? enter only the minimum surface area, and do not include units in your answer.
The required surface area of a rectangular container is 588cm² using a volume of 1,372 cm³.
What is the surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
In comparison to the definition of arc length for one-dimensional curves or the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces, the mathematical definition of surface area in the presence of curved surfaces is significantly more complex.
The surface area of smooth surfaces, such as spheres, is determined using their representation as parametric surfaces.
Partial derivatives and double integration are used in this definition of surface area, which is based on infinitesimal calculus techniques.
So, we have the volume:
1,372 cm³
Then, h = 1372/s².
Now, calculate as follows:
4 s 1372/s^2 + s^2 = area
5488/s + s^2 = area
s^2 + 5488 (s^-1) = area
2s - 5488 s^-2 = 0
5488 s^-2 = 2s
5488 = 2 s^3
2744 = s^3
s = 14
s * h * s = 1372
Then, we will have: h = 7
Surface area = 14*14+4*7*14 = 196+4*7*14 = 588 cm²
Therefore, the required surface area of a rectangular container is 588cm² using a volume of 1,372 cm³.
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2.01 Quiz Polygons and Symmetry 1
What is the value of x?
X= ___
Answer:
Step-by-step explanation:
112+120+133+128+100+x=720
593+x=720
x=720-593
x=127
Need help with the picture attached, involving derivatives.
dy/dx = 0 when x = - 2, and x = 2/3 is not possible.
dy/dx = 0 when x = - 1, and x = 5.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
y = x³ - 6x² - 15x - 7
Differentiating w.r.t x.
[ d[tex]x^n[/tex]/dx = n[tex]x^{n - 1}[/tex] ]
[ dc/dx = 0 ]
dy/dx = dx³/dx - 6dx²/dx - 15dx/dx - d7/dx
dy/dx = 3[tex]x^{3 - 1}[/tex]dx/dx - 6 x 2[tex]x^{2-1}[/tex]dx/dx - 15 - 0
dy/dx = 3x² - 12x - 15
Now,
dy/dx = 0
3x² - 12x - 15 = 0
3(x² - 4x - 5) = 0
x² - 4x - 5 = 0
x² - (5 - 1)x - 5 = 0
x² - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x - 5) (x + 1) = 0
x - 5 = 0
x = 5 _____(1)
x + 1 = 0
x = -1 _____(2)
Now,
For x = 2,
dy/dx = 3x² - 12x - 15
dy/dx = 3 x 4 + 24 - 15
dy/dx = 12 - 24 - 15
dy/dx = 12 - 39
dy/dx = -27 _____(3)
For x = 2/3,
dy/dx = 3x² - 12x - 15
dy/dx = 3 x 4/9 + 24 x 2/3 - 15
dy/dx = 4/3 + 16 - 15
dy/dx = 4/3 + 1
dy/dx = 7/3 _____(4)
From (1), (2), (3), and (4)
dy/dx = 0 when x = - 2 and x = 2/3 is not possible.
Thus,
dy/dx = 0 when x = - 1, and x = 5.
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please help!! really need this answered asap
x+21 is the length of GH from the given figure.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
A triangle GHJ, M is the intersection of the three medians.
Given that GJ is twenty one.
GJ=21
We need to find the length of GH.
Let the length of HJ is x.
Now GH=HJ+GJ
GH=x+21
Hence, x+21 is the length of GH from the given figure.
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Ross goes on a hiking trip. He hikes 2000 feet before stopping to rest. He turns around and hikes back 1050 feet and rests again. After some time, he hikes the rest of the way back to his starting point. Sketch the graph to show the distance from his starting point compared to time. Use the graph to find the total distance that Ross hiked.
Helpp!
The total distance that Ross hiked is 4000 feet.
How to determine the total distance hikedFrom the question, we have the following parameters that can be used in our computation:
He hikes 2000 feet before stopping to rest. He hikes back 1050 feet After some time, he hikes the rest of the way back to his starting pointThis means that the total distance travelled is
Total distance = 2 * Initial distance hiked
Substitute the known values in the above equation, so, we have the following representation
Total distance = 2 * 2000
Evaluate
Total distance = 4000
Hence, the total distance hiked is 4000 feet
See attachment for the graph
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Find the value of x in the triangle shown below.
x=
The sum of the interior angles of a triangle is always 180°, using that we will see that x = 80°
How to find the value of x?The first thing you can notice is that we have a triangle with two equal sides, that means that the two bottom angles have the same measure.
Also, remember that the sum of the interior angles of any triangle is always equal to 180°, then we can write the equation:
50° + 50° + x = 180°
Solving that for x we will get:
x = 180° - 50° - 50° = 80°
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Order these numbers from least to greatest.
4 7/11, 37/8, 4.427, 4.42
The order of given numbers is 4.42<4.427<4.625<4.64.
How to compare to decimals?Comparing decimals involves starting with the digits having the highest place value, just like when comparing other whole numbers. We begin the comparison by putting the provided decimal numbers in a place value table. We move on to the digits in the next place to the right if the digits on the biggest place value match. Up till the digits that are different are reached, we continue comparing digits.
The given numbers are [tex]4\frac{7}{11}[/tex] =4.64, 37/8 =4.625, 4.427, 4.42
From least to greatest is
4.42<4.427<4.625<4.64
Therefore, the order of numbers is 4.42<4.427<4.625<4.64.
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Is `(2,5)` a solution to the system:
`x+y=7`
`2x-3y=-11`
Answer:
the answer is in the picture.. if you need to actually solve the system please tell me and i will send that too
Can someone help asap please
You spin a spinner that is equally divided into 11 parts. 3 parts are green, 3 parts are speckled, 2 parts are white, and 3 parts are yellow.
What is the probability of the spinner not stopping at a white section? Write your answer as a decimal rounded to the nearest hundredth.
The probability of the spinner not stopping at a white section 0.82.
How to find the probabilityThe probability of the spinner not stopping at a white section is 1 minus the probability of the spinner stopping at a white section.
= 1 - probability of the spinner stopping at a white section
Since there are 2 white sections out of 11 total sections, the probability of stopping at a white section
= required outcome / possible outcome
= 2/11.
Therefore, the probability of not stopping at a white section
= 1 - 2/11
= 9/11.
Rounded to the nearest hundredth, this value is 0.82.
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There were 50% more apples picked this year than last. If there were 230 pounds of apples picked this year, how many pounds were picked last year?
Answer:
115 apples were picked last year
Step-by-step explanation
It says there are 50% more apples picked this year than last year. So, we divide 230 by 2 because 50% is half of 100%. 230÷2 = 115
115 apples
a ball is thrown vertically upward. after seconds, its height (in feet) is given by the function . after how long will it reach its maximum height? h(t)
The ball reaches its maximum height after 2 seconds.
To determine when the ball reaches its maximum height, we need to find when its velocity changes from positive to negative. The velocity of the ball is given by the derivative of its height, which is the function h'(t) = -16t. The ball's velocity is 0 when h'(t) = 0, so we need to solve -16t = 0.
The solution to this equation is t = 0. When t = 2, h'(t) = -32, which is negative, indicating that the ball is moving downward. So, the maximum height is reached when the velocity changes from positive to negative, which is at t = 2 seconds.
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Two steps for solving 6x+6=-12
Answer:
Start by evening out the sides
6x + 6 = -12
-6 = -6
6x = 18
Divide by six (bc variable in front of x)
x = 3
A baby elephant at the zoo weighed 134134 kilograms at birth. She gained weight at a constant rate for the first 66 months until she weighed 362362 kilograms.
How much did the elephant gain each month? Simplify your answer completely.
The amount in weight the baby elephant grew each month is given by the equation m = 38 kilograms
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount in weight the baby elephant grew each month be m
Now , the equation will be
The initial weight of the baby elephant a = 134 kilograms
The final weight of the baby elephant b = 362 kilograms
Now , the number of months = n
The value of n = 6 months
So , amount in weight the baby elephant grew each month m = ( b - a ) / n
Substituting the values in the equation , we get
Amount in weight the baby elephant grew each month is
m = ( 362 - 134 ) / 6
On simplifying the equation , we get
m = 228/6
m = 38 kilograms
Hence , the baby elephant grew 38 kg every month
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which figure is shown in the drawing
Use the sentence to answer the question.
The toy is not fixable, so we will have to buy a new one.
What does fixable mean?
(1 point)
Responses
a person who fixes
a person who fixes
can be fixed
can be fixed
the result of fixing
the result of fixing
the act of fixing
Answer:
sjjejejejenenenwjjwnwnwnwnwnwn
Step-by-step explanation:
ewhw
Answer: can be fixed
Step-by-step explanation:
. Factor the expression completely. -12x - 24
The expression 12x - 24 is factorized to give -12(x + 2)
What are algebraic expressions?Algebraic expressions are defined as expressions that are composed of terms, factors, constants, variables and coefficients.
They are also seen as expressions with arithmetic operations, such as;
SubtractionAdditionMultiplicationDivisionBracketParenthesesFloor divisionTo factor an algebraic expression is to find the greatest common multiples of the terms in the expression
From the information given, we have that;
-12x - 24
Factor the common terms
-12(x + 2)
Hence, the expression is -12(x + 2)
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