The number of cupcakes that Chad are is 8 cupcakes.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let the number of cupcakes that Chad can buy be x.
The number of cupcakes Chad can eat is 2 times the amount his sister can eat. This will be 2x.
Therefore, the appropriate equation will be:
2x + x = 12
3x = 12
Divide
x = 12/3
x = 4
Chad = 2x = 2 × 4 = 8 cupcakes
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{3x}^{2} + 4x + 1 = 0 using
: completeing the square method
Quadratic formulae
Answer:
Solve with the Quadratic Formula
Let's solve your equation step-by-step.
(3x)2+4x+1=0
Step 1: Simplify both sides of the equation.
9x2+4x+1=0
For this equation: a=9, b=4, c=1
9x2+4x+1=0
Step 2: Use quadratic formula with a=9, b=4, c=1.
x=
−b±√b2−4ac
2a
x=
−(4)±√(4)2−4(9)(1)
2(9)
x=
−4±√−20
18
Answer:
No real solutions.
Step-by-step explanation:
I did my best
Which answer is equivalent to
OA.
B. √
(4
OB.
C.
16
49
D.
16
49
3/16
349
√16
(49
? Please helpppp
Answer:
C [tex]\sqrt \frac{16}{49}[/tex]Step-by-step explanation:
looking at all the stress you're in I knew I had to help so all your lists are bunched up, so I went of the picture C is correct because B 4 and 7 aren't even a part of the question itself and A has 16 and 49 but it doesn't have sqrt so it's not = to the question and D is not correct either because it doesn't have one sqrt it has two on top of each other. HOPE THIS HELPED!
I Need Help Quick!! A recycling machine crushes 175 pounds of cans in 5 minutes.
How many pounds of cans will the machine crush in 16 minutes?
A. 560 pounds
B. 955 pounds
C. 1,925 pounds
D. 2,805 pounds
Answer:
560 pounds
Step-by-step explanation:
175 pounds divided by 5 minutes.
= 35 pounds per minute
35 pounds per minute multiplied by 16 minutes
= 560 pounds
What is the speed of a vehicle when it covers a distance of 6Om in 3seconds?
The speed is calculated as distance over time, so:
[tex]\text{speed}=\frac{\text{distance}}{\text{time}}[/tex]Replacing distance by 60 m and time by 3 seconds, we get:
[tex]\text{ speed=}\frac{60\text{ m}}{3\text{ seconds}}=20\text{ m/second}[/tex]The speed of the vehicle is 20 m/second
HELP PLS Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer: [tex]m=\frac{y2-y1}{x2-x1}[/tex]
Step-by-step explanation:
Choose two points and insert them for x and y.
(3,0) and (0,-4) will work
If you need extra help ask me, I'd be glad to help but i encourage you to try to solve it yourself
Can someone please help answer the questions attached - it's on inverse proportion? :)
Answer:
see explanation
Step-by-step explanation:
(a)
given y is inversely proportional to x³ then the equation relating them is
y = [tex]\frac{k}{x^3}[/tex] ← k is the constant of proportion
to find k use any of the ordered pairs from the table
using (1, 8 ) , then
8 = [tex]\frac{k}{1^3}[/tex] = [tex]\frac{k}{1}[/tex] ⇒ k = 8
y = [tex]\frac{8}{x^3}[/tex] ← equation of proportion
(b)
when y = 64 , then
64 = [tex]\frac{8}{x^3}[/tex] ( multiply both sides by x³ )
64x³ = 8 ( divide both sides by 64 )
x³ = [tex]\frac{8}{64}[/tex] = [tex]\frac{1}{8}[/tex] ( take cube root of both sides )
x = [tex]\sqrt[3]{\frac{1}{8} }[/tex] = [tex]\frac{1}{2}[/tex]
30 POINTS!!! PLEASE ANSWER ASAP!!!
Caroline is going to drive from her house to City A without stopping. Caroline plans to drive at a speed of 50 miles per hour and her house is 200 miles from City A. Make a table of values and then write an equation for D, in terms of t, representing Caroline’s distance from City A t hours after leaving her house.
Please also provide what t equals. Thank you
Answer:
0, 150, 100, 50 | T=200-50x
Step-by-step explanation:
So you start with 200 miles to go and you are going 50 miles per hour. In the first hour, 50 miles would have been completed meaning that you subtract 50 miles from the remaining distance. Same with the other hours.
To put that in an equation, You would start with 200 and for every hour(x)you would subtract 50.
I need some help with my math.
x-3/5=x+3/15 pls help
Answer: The answer is no solution because the x cancels out
Which of the following statements are true about the process and solution till the following problem 86.89-56.389?
The arithmetic says we should subtract find the difference between 86.89 and 56.389.
Notice we have to put a place holder of 0 at the ending of 86.89 to do the subtraction. Then we have to borrow 1 from the hundredth term(9) of 86.890 to make 0 ten . so ten minus 9 should be 1. Then the difference of the hundreth term(8 - 8) is 0. 8 minus 3 is 5. 6 minus 6 is zero and finally 8 minus 5 is 3.
The answers are B and D
The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?
The constant of proportionality between x and y in the given graph above is determined as: 2.
What is the Constant of Proportionality?The constant of proportionality of a proportional relationship between two variables, x and y, can be defined as the ratio of y to x, which is expressed as, k = y/x, where x and y are the coordinates of one point one the line that represents the proportional relationship.
Using the coordinates of a point on the graph, (2, 4), find the constant of proportionality, k:
Constant of proportionality (k) = y/x = 4/2
Constant of proportionality (k) = 2
Therefore, the constant of proportionality that represents the proportional relationship between the variables, x and y, is calculated as, 2.
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1) the owner of a video store has determined that the cost c, in dollars, of operating the store is approximately given by where x is the number of videos rented daily. find the lowest cost to the nearest dollar. a) $400 b) $500 c) $650 d) $550
The lower cost will occur at the extreme point, that is if the number of videos rented daily is 8 pieces and the cost will be $550.
The cost function is given by:
C(x) = 2x² - 32x + 678
The lowest cost happens at the extreme point. In this point the derivative of C(x) is equal to zero.
Take the derivative:
C'(x) = 4x - 32 = 0
4x = 32
x = 32/4 = 8
Hence, the lowest cost will occur if the number of video rented daily is 8 pcs.
Substitute x = 8 into the cost function:
C(8) = 2(8)² - 32.(8) + 678 = 550
Complete question:
The owner of a video store has determined that the cost c, C(x) = 2x² - 32x + 678 in dollars, of operating the store is approximately given by where x is the number of videos rented daily. find the lowest cost to the nearest dollar
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An airship propelled by some mechanical device travels five miles in ten minutes in the direction of the wind, but requires one hour to go back again to the starting point against the same wind. How long would it have taken to go the whole ten miles in a calm day without any wind? Hint: You don't have to use equations to solve this problem. You can solve it perfectly using math reasoning.
An airship propelled by some mechanical device travels five miles in ten minutes in the direction of the wind, but requires one hour to go back again to the starting point against the same wind. How long would it have taken to go the whole ten miles in a calm day without any wind? Hint: You don't have to use equations to solve this problem.
we have that
5 miles -------> 10 minutes (direction of the wind)
5 miles ------> 1 hour (against the same wind)
therefore
10 miles ------> ? (without any wind)
so
Let
x -----> speed of the wind
y -----> speed of the airship
direction of the wind
speed=d/t ------> 5/10=0.5 miles per min
against the same wind
speed=5/60=1/12 miles per min
so
x+y=0.5 ------> x=0.5-y -----> equation 1
y-x=1/12 -----> equation 2
solve the system
substitute equation 1 in equation 2
y-(0.5-y)=1/12
2y=(1/12)+1/2
2y=7/12
y=7/24=0.2917 miles per min
Find the value of x
x=(1/2)-7/24
x=5/24=0.2083 miles per min
therefore
10 miles without any wind
speed=d/t ------> t=d/speed
t=10/(7/24)
t=34.29 minIMAGE ATTACHED. On average, Ian drinks 5/6 of a 6-ounce glass of water in 5 minutes. How much water does he drink, in glasses per hour? please help
(7g - 6) - (-3n - 4) find the difference and show your work. Please this is due tomorrow
Answer:
7g + 3n - 2
Step-by-step explanation:
(7g - 6) - (-3n - 4)
7g - 6 + 3n + 4
7g + 3n - 2
I hope this helps!
As the sample size becomes larger, the sampling distribution of the sample mean approaches a _____ distribution.
The sampling distribution of the sample mean approaches a Normal Distribution when the sample size becomes larger.
According to the central limit theorem for samples, if we keep drawing larger .And larger samples and calculating their means, then the sample forms its . Own normal distribution (the sampling distribution). The mean of normal distribution has the same the original distribution and a variance that is equal to the original variance divided by the sample size. The variable p is the number of values whose average is taken together ,and not the number of times we do the experiments.
Thus, for a large random sample, the sample does not resemble the regular curve but for a large random sample it will closely resemble the normal curve.
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BRO PLS HELP, I HAVE LIKE 20 MISSING ASSIGNMENTS
It should be easy lol
Answer:
B C and D
Step-by-step explanation:
Answer:
2π=6.2831853071795864769252867
1. -V64Name the set or sets or numbers to which each real number belongs?
1) an integer and a rational number
Explanation:
1) -√64 = -4
This is an integer.
Integers include natural numbers, the opposites of this numbers and zero.
-4 is a negative number and the opposite of the natural number 4
Hence -4 is an integer.
-4 can be written as a fraction:
-4 = -4/1
Hence, it is also a rational number
Jonah and Makayla are on a scuba diving tour of a reef. Jonah is at a depth of –20 feet and ascending at a rate of 0.25 foot per second. Makayla is at a depth of –12.5 feet and descending at a rate of 0.5 foot per second. Solve the equation 2(−20+0.25s)=−12.5−0.5s to find how many seconds s it will take for Makayla to be twice as deep as Jonah. Enter your answer as an integer or decimal.
It will take 28.5 seconds to Makayla to be twice as deep as Jonah.
What is an equation?
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. For example, 3x + 5 = 15.
Given,
Jonah is at a depth of -20ft.
Makayla is at a depth of -12.5ft.
at the rate of descending is 0.5.
Given equation is
2(-20+0.25s) = -12.5-0.5s
-40 + 0.5 s = -12.5 -0.5s
0.5s + 0.5s = -12.5+40
1s = 28.5
Hence, the solution of the equation is 1s = 28.5.
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Kaye Blanchard is 50 years old . She has $ 40,000 of adjusted gross income and $ 10,000 of qualified medical expenses . She will be itemizing her tax deductions this year . How much of a tax deduction will Kaye be able to deduct ( assume 10 % floor for deduction ) ?
Answer: 70
Step-by-step explanation:
easy addition
A fair quarter, a fair dime, a fair nickel, and a fair penny are tossed. Find the probability of obtaining exactly one head.
We know that the probability of getting a head in a single coin is:
[tex]p=0.5[/tex]Now, we can calculate the probability of X out of N coins landing heads up with the binomal distribution:
With p = 0.5 and N = 4, we get:
Subtituting X = 1 ("getting one head"), we get that:
[tex]P=0.0625[/tex]Petra must write a report with more than 1,000 words forher history class. So far, she has written 684 words. Writeand solve an inequality to find how many more wordsPetra needs to write for her report.
Step 1: Let the remaining number of words be X.
The inequality equation becomes:
[tex]\begin{gathered} X+684>1000 \\ X>1000-684 \\ X>316 \end{gathered}[/tex]Hence, the number of words Petra has to write to have more than 1000 words should be greater than 316 words.
For the following relation, complete the table of values and sketch the graph.
y=3x^2-10
x. y?
-3.
-2.
-1.
0
1
2
3
The table of values for the given equation is presented below:
x y
-3 17
-2 2
-1 -7
0 -10
1 -7
2 2
3 17
Quadratic FunctionThe Standard form for a quadratic equation is ax²+ bx + c=0, where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
To solve a quadratic function, you should find the discriminant: D=b²-4ac and then use this variable in the formula: [tex]x=\frac{-b \±\sqrt{\Delta} }{2a}[/tex].
The given equation is a quadratic function because have a degree equal to 2. Then, when you plot the graph, you obtain a parabola.
First, you should replace the given values for x in the equation y=3x²-10
x y
-3 y=3*(-3)²-10= 3*9-10=27-10=17
-2 y=3*(-2)²-10= 3*4-10=12-10=2
-1 y=3*(-1)²-10= 3*1-10=3-10= -7
0 y=3*(0)²-10= 3*0-10=-10= -10
1 y=3*(1)²-10= 3*1-10=3-10= -7
2 y=3*(2)²-10= 3*4-10=12-10= 2
3 y=3*(3)²-10= 3*3-10=27-10= 17
Now, you have the points to draw the graph, show the attached image.
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Triangles FAD and DCE are translations of triangle ABC.
Select all the statements that must be true. (Lesson 1-21)
A. Points B, A, and F are collinear.
PERIOD
E
(B.) The measure of angle BCA is the same as the measure of angle CED.
C. Line AD is parallel to line BC.
D. The measure of angle CED is the same as the measure of angle FAD.
(E.) The measure of angle DAC is the same as the measure of angle BCA.
F. Triangle ADC is a reflection of triangle FAD.
The statements about triangles FAD and DCE which are translations of triangle ABC include the following:
A. Points B, A, and F are collinear.
(B.) The measure of angle BCA is the same as the measure of angle CED.
C. Line AD is parallel to line BC.
(E.) The measure of angle DAC is the same as the measure of angle BCA.
The types of transformation.Generally, there are four (4) main types of transformation and these include the following:
ReflectionDilationRotationTranslationWhat is a translation?In Geometry, a translation can be defined as a type of transformation which moves every point of a geometric figure (object) in the same direction, as well as for the same distance.
Since triangles FAD and DCE both represent the translations of triangle ABC (see attachment), we can logically deduce the following information:
Points B, A, and F all lie on the same line BF, which makes point B, A, and F collinear.All of the sides and angles of triangle ABC (ΔABC) are equal to triangle DCE (ΔDCE), which makes angle BCA (m∠BCA) equal to angle CED (m∠CED).Line AD and line BC are parallel lines because they can never meet.The measure of angle DAC (m∠DAC) is the same as the measure of angle BCA (m∠BCA).Read more on translation here: https://brainly.com/question/19880883
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If the sum of a number and seven is tripled, the result is eight times a number.
Step 1: Represent a with an unknown
Let a number be x
Step 2: Represent the given information with an equation
From the first statement, the sum of a number and seven is tripled can be represented with the equation below:
[tex](x+7)\times3[/tex]The second statement reflects that the result of the first statement is eight times a number. Eight times a number is
[tex]8\times x=8x[/tex]The result of the first statement and the second statement is
[tex](x+7)\times3=8x[/tex][tex]3x+21=8x[/tex]Step 3: Solve for the unknown
The solution of the unknown is as shown below:
[tex]\begin{gathered} 3x+21=8x \\ \text{collect like-terms} \\ 21=8x-3x \\ 21=5x \\ \text{divide through by 5} \\ \frac{21}{5}=\frac{5x}{5} \\ \frac{21}{5}=x \end{gathered}[/tex][tex]\begin{gathered} \frac{21}{5}=x \\ x=\frac{21}{5} \\ \operatorname{Re}-\text{write as a mixed fraction} \\ x=4\frac{1}{5} \end{gathered}[/tex]Hence, the number is 4 1/5
Which subatomic particles are located in the nucleus of an He-4 atom?
The sub-atomic particles located in the nucleus of an He^4 atom are 2 protons and 2 neutrons.
Helium belongs to double-electronic species, unlike alpha-particles which are devoid of electrons. The two electrons of Helium are accommodated in the 1s orbital, outside the nucleus.
Nucleons are always present in the nucleus of various elements. Nucleons collectively refer to protons and neutrons. In this case, 2 protons and 2 neutrons reside in the nucleus.
The number of protons is always equal to the atomic number of the element. The number of neutrons is always equal to the difference between the mass number and the atomic number of the element.
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Rewrite the fraction in the sentence below as a percentage. From 125 yards away, a marksman hit 13/20 of the targets last year.
The fraction, 13 / 20 when converted to percentage is 65%.
What is the percentage?A fraction is a non-whole number that has a numerator and a denominator. An example of a fraction is 13 / 20. 13 is the numerator and 20 is the denominator.
A percentage is when a fraction is converted to a number out of 100. In order to convert a fraction to a percentage, multiply the fraction by 100. The sign that represents percentage is %. Percentage is used to measure the frequency of a dataset.
In order to rewrite the fraction as a percentage, multiply the fraction by 100.
Percentage of times he hit the target = ( number of times he hit the target / number of hits) x 100
(13 / 20) x 100 = 65%
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A triangle has 2 angles measuring 40 degrees and 50 degrees. What is the measure of the 3rd angle and classify the triangle.
A triangle has all three angles summing up to 180. If two of the sides measure 40 degrees and 50 degrees, then the third side measures as follows;
[tex]\begin{gathered} 40+50+A=180 \\ A=180-40-50 \\ A=90 \end{gathered}[/tex]The third angle, which is labelled as angle A measures 90 degrees, and that means the triangle is a "right angled triangle."
i need help with this sorry I cant give much
Answer:
[tex]\frac{11}{20}[/tex]
Step-by-step explanation:
2[tex]\frac{3}{4}[/tex] ÷ 5
Convert mixed number fraction to improper fraction
[tex]\frac{11}{4}[/tex] ÷ 5
To divide fractions we turn the second fraction (the one you want to divide by) upside down (this is now called a reciprocal) and we multiply
[tex]\frac{11}{4}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{11}{20}[/tex]
On Saturday mornings, Emmet volunteers at the hospital where his mother works. One Saturday, he answers phone calls at the information desk while the receptionist is away. Then he spends 25 minutes delivering flowers to patients' rooms. In all, Emmet volunteers at the hospital for 45 minutes that day.
Which equation can you use to find the amount of time t that Emmet answers phone calls?
The equation used to find the amount of time Emmet answers phone calls is t +25= 45
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The amount of time Emmet answers phone calls = 20
She spends delivering flowers to patient's room= 25 minutes
She spends meetings volunteering at the hospital= 45
Let t be the amount of time Emmet answers phone calls in the hospital
Hence the equation used to calculate the amount of time spent on calls;
t + 25= 45
Now collect the like terms;
t= 45-25
t= 20
Hence, The equation used to find the amount of time Emmet answers phone calls is t +25= 45
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