First add 4 on both sides to cancel it out.
Now you should have 3x=12.
Then divide 3 from both sides.
Now you have x=4.
---
hope it helps
Next Londell needs a total of $400 to buy a new bicycle. He has $40 saved. He earns $15 each week delivering newspapers. How many weeks will Londell have to deliver papers to have enough money to buy the bicycle?
Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.
Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.
To calculate the number of weeks Londell needs to work, we can set up an equation:
$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)
Simplifying the equation:
$40 + $15 = $400
Subtracting $40 from both sides of the equation:
$15 = $400 - $40
$15 = $360
Dividing both sides of the equation by $15:
= $360 / $15
≈ 24
Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.
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Increase each amount by the given percentage: a) 12 kg by 8% b) $75 by 20%
Answer:
a) 12.96 kg
b) $90
Step-by-step explanation:
\(a)\ 12+\frac{12\times 8}{100} =12+0.96=12.96\)
\(b)\ 75+\frac{75\times 20}{100} =75+15=90\)
Answer:
a.) 12.96kg b.) $90
Step-by-step explanation:
increasing 12 by 8%, first find 8 percent of 12,
8/100 x 12, then add that to the original 8
so 8/100 x 12 = 0.96, so increasing 12kg by 0.96kg, we get 12.96 kg
increasing 75 dollars by 20%, or 1/5th, we find 1/5th of 75, then add it onto 75
1/5th of 75 is 15, so 75 + 15 = 90
solve for x give your answer as an improper fraction in its simplest form 3(2x-1) + 7 = 6x - 3 - 2(2-4x)
If the focus and directrix of prapola is f(0,4) y=_4.the equation of parabola is
Answer:
Step-by-step explanation:
davrsgdrbfghfgbfrtnrfnfgnftytfnrfnrrjmrnhherththtrgwgegergergetgethtrgtegegehtrhtrhtrhtrtghrthrthrthrtrthrthrrhrhtrhhrthrhrthrt
can someone help me really quick
The addition equation to represent Jackson's net change in money is x + (-y) = 4.63
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.
WE need to Write an addition equation to represent Jackson's net change in money.
Given that :
The change received = 4.63
The Net change in money :
Let initial amount before purchase is represented by x
The Cost of item purchased = y (negative as it is incurred)
The Net change in money:
Initial amount + cost of item purchased = change received
x + (-y) = 4.63
Therefore, an addition equation to represent Jackson's net change in money is x + (-y) = 4.63
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Louis rolled a fair six-sided die and recorded the number that was facing up on the die. He continued this for a total of 60 rolls. The table shows the frequency of each number rolled.
Outcome 1 2 3 4 5 6
Frequency 8 11 6 14 9 12
Based on the table, what is the experimental probability that the number rolled was odd?
1 over 2
5 over 12
23 over 60
37 over 60
The experimental probability that the number rolled was odd is
23 over 60.
What is experimental probability?
Actual experiments and sufficient documentation of the occurrence of occurrences serve as the foundation for experimental probability, sometimes referred to as empirical probability. A trial is a repeating of an experiment that is performed a certain number of times.
We are given a table showing he frequency of each number rolled.
We know that the odd number outcomes are 1, 3 and 5.
So,
P (x = 1) = 8/60
P (x = 3) = 6/60
P (x = 5) = 9/60
So, the experimental probability that the number rolled was odd is
⇒P ( x is odd) = P (x = 1) + P (x = 3) + P (x = 5)
⇒P ( x is odd) = 8/60 + 6/60 + 9/60
⇒P ( x is odd) = 23/60
Hence, the experimental probability that the number rolled was odd is 23 over 60.
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Evaluate -3(c + d)
for c= -2 and d = 1
Answer:
3
Step-by-step explanation:
The answer is 3 because first you add -2 + 1 which is -1 then you multiply -3 by -1 and you get 3
how can you find the value of the expression -5 + 12 + 10 - 7
Answer:
-5 +12+10-7
-5+12=7
7+10=17
17-7=10
Answer:
10
Step-by-step explanation:
-5+12+10-7
-12+22=
10
hope it helps!
A map uses a scale of 2 cm = 50 kilometers. On the map, two cities are 9 cm apart, how far apart are they in real life?
Answer:
they are in 225kilometers apart.
hope it helps.
Is it possible to have a triangle with the following sides 5 cm 9 cm 10 cm?.
Yes, it is possible to draw a triangle.
This will be done by the property: the sum of two sides of a triangle should be more than the third side.
(5cm + 9cm) =10 cm
14 cm = 10 cm
LHS>RHS
A triangle is possible.
A triangle is a polygon with three edges and 3 vertices. The terminology for categorizing triangles is more than two thousand years vintage, having been defined on the first actual page of Euclid's elements.
In Euclidean geometry, any three factors, while non-collinear, decide a completely unique triangle and simultaneously, a unique plane (i.e. a -dimensional Euclidean space). In different words, there's best one plane that consists of that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is the best one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is not real. this text is ready triangles in Euclidean geometry, and in particular, the Euclidean plane, except wherein otherwise stated.
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solve for A no links
Answer:
71.1 degrees
Step-by-step explanation:
The side opposite angle A is 35 and that adjacent to angle A is 12. The trig function that connects A and these two sides is
tan A = (opp) / (adj)
which here is
tan A = 35/12. Find A using a calculator's arctan function:
arctan 35/12 = 1.25 radian or 71.1 degrees.
T / 23 equals -9 solve for t
Answer:
-207
Step-by-step explanation:
t/23 = -9
Multiply both sides by 23 to cancel out the denominator.
23 * (t/23) = (-9) * 23
t = -207
the meteorologist made a forecast that a cold front was coming through and the temperature would steadily drop 24.8 degrees over the next six and one fourth hours. how much did the temperature drop each hour? 39.68 degrees 3.968 degrees 31.05 degrees 18.55 degrees
The temperature drop is B. 3.968 degrees each hour.
What is the temperature drop calculated?The temperature drop per hour can be computed by dividing the total temperature drop by the number of hours over which the temperature dropped.
Data and Calculations:The total steady drop in temperature = 24.8 degrees
Total number of hours for the temperature drop = 6¹/₄ hours
6¹/₄ hours = 6.25 hours
Temperature drop per hour = total drop/total hours of drop
= 2(4.8 ÷ 6¹/₄ hours)
= 3.968 degrees
Thus, the temperature drop is B. 3.968 degrees each hour.
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Amy deposits $20,000 into an account that pays 6% interest per year, compounded annually. Bill deposits $20,000 into an account that also pays 6% per year. but it is simple interest. find the interest Amy and Bill earn during each of the first years, then decide who earns more interest for the year. assume there are no withdraws and no additional deposits
Answer:
Yeah, math math wu wu
Step-by-step explanation:
Graph
Y-7=-3/5-(x+2)
Answer:
See attached
Step-by-step explanation:
A simpler form of the same equation is:
y = -4 +(4+2/5)
Which are lines that will intersect
Assuming it is necessary to resolve points separated by 7 cm with 550- nm light, and that the satellite orbits at a height of 140 km , what minimum lens aperture (diameter) is required?
The minimum lens aperture (diameter) required to resolve points separated by 7 cm with 550 nm light, given a satellite orbiting at a height of 140 km, is approximately 0.062 meters or 6.2 cm.
To determine the minimum lens aperture (diameter) required to resolve points separated by 7 cm with 550 nm light, we can use the Rayleigh criterion. The Rayleigh criterion states that two points can be resolved if the central maximum of one point falls on the first minimum of the other point's diffraction pattern. The formula for the minimum resolvable angle is given by:
θ = 1.22 × (λ / D)
where:
θ is the minimum resolvable angle,
λ is the wavelength of light,
D is the diameter of the lens aperture.
In this case, we have the following values:
Separation between points (d) = 7 cm = 0.07 m
Wavelength (λ) = 550 nm = 550 × 10⁻⁹ m
To find the minimum lens aperture (D), we need to rearrange the formula as follows:
D = (1.22 × λ) / θ
Now, we need to find the minimum resolvable angle (θ). The angular resolution can be determined by the formula:
θ = d / r
where d is the separation between points and r is the distance to the satellite, which is the sum of the Earth's radius and the satellite's height.
The Earth's radius is approximately 6,371 km, so the distance to the satellite is:
r = Earth's radius + satellite's height
r = (6,371 km + 140 km) = 6511 km = 6,511,000 m
Now we can calculate the minimum resolvable angle:
θ = d / r
θ = 0.07 m / 6,511,000 m
θ ≈ 1.074 x 10⁻⁸ radians
Now we can substitute this value along with the wavelength into the formula for D
D = (1.22 × λ) / θ
D = (1.22 × 550 × 10⁻⁹ m) / (1.074 x 10⁻⁸ radians)
D ≈ 0.062 m
Therefore, the minimum lens aperture (diameter) required to resolve points separated by 7 cm with 550 nm light, given a satellite orbiting at a height of 140 km, is approximately 0.062 meters or 6.2 cm.
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If 2 apple and 5 bananas cost 4.20 dollars and 3 apples and 4 bananas coke 4.So dollars what is the price of a apple and banana
Answer:
An apple costs $0.45 and a banana costs $0.66.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
An apple costs x.
A banana costs y.
2 apple and 5 bananas cost 4.20 dollars
This means that:
\(2x + 5y = 4.2\)
So
\(2x = 4.2 - 5y\)
\(x = 2.1 - 2.5y\)
3 apples and 4 bananas cost 4.
This means that:
\(3x + 4y = 4\)
Since \(x = 2.1 - 2.5y\)
\(3(2.1 - 2.5y) + 4y = 4\)
\(6.3 - 7.5y + 4y = 4\)
\(3.5y = 2.3\)
\(y = \frac{2.3}{3.5}\)
\(y = 0.66\)
Then:
\(x = 2.1 - 2.5(0.66) = 0.45\)
An apple costs $0.45 and a banana costs $0.66.
The country of Phoenicia does not trade with any other country. Its 60P is $22 billion. Its government purchases $7 billion worth of goods and services each year, collects $7 billion in taxes, and provides $2 billion in transfer payments to households. Private saving in Phoenicia is $5 billion. a. What is Phoenicia's censumption? b. What is the country's investment? c. Does the country's government run a budget surplus or a budget deficit? 3) You rist thow all tive shops and colcuintions to receime ful polits 4) You may watte ty hand of tipe the arivewes
a) Consumption = $17 billion.
b) Investment = $6 billion.
c) Phoenicia's government runs a budget deficit.
a. To find Phoenicia's consumption, we can use the equation:
Consumption = 60
P - Private Saving.
Given that private saving is $5 billion, and 60P is $22 billion, we can calculate:
Consumption = $22 billion - $5 billion
= $17 billion.
b. To find the country's investment, we need to subtract government purchases, transfer payments, and taxes from the GDP.
Since the government purchases are $7 billion, transfer payments are $2 billion, and taxes are also $7 billion, we can calculate:
Investment = GDP - (Government purchases + Transfer payments + Taxes)
= $22 billion - ($7 billion + $2 billion + $7 billion)
= $6 billion.
c. To determine if the government runs a budget surplus or a budget deficit, we can compare government purchases, transfer payments, and taxes.
Given that government purchases are $7 billion, transfer payments are $2 billion, and taxes are also $7 billion, we can calculate:
Budget surplus/deficit = Taxes - (Government purchases + Transfer payments)
= $7 billion - ($7 billion + $2 billion)
= -$2 billion.
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Need help plz brainiest to the correct answer
A proportional relationship is one that as one value changes, the other one does too, so that the relationship between the values is the same.
1 cup butter/2 cups sugar is proportional to 3 cups butter/6 cups sugar, becuase 1/2=3/6.
2a: No, these do not change at the same rate. There is no common ratio of the L and x values.
2b: Yes, the t values is always 108/100 of the P value. No matter the P value, this relationship will be maintained.
i got -10, is this correct??
Answer:
-9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
\(2(-2)^2+5(-2)-7\\8-10-7\\1-10\\-9\)
2. One of the goals of this lab is to become familiar with different shapes of simple molecules. a. What is the name of the theory used to predict molecular geometries? b. Suppose a molecule consists of a central atom bonded to 2 outer atoms. There are two lone pairs on the central atom. What is the name of the molecular shape of this molecule? c. Suppose a molecule consists of a central atom bonded to 4 outer atoms. There are no lone pairs on the central atom. What is the name of the molecular shape of this molecule?
a. The name of the theory used to predict molecular geometries is the VSEPR (Valence Shell Electron Pair Repulsion) theory.
b. The name of the molecular shape for a molecule consisting of a central atom bonded to 2 outer atoms with two lone pairs on the central atom is "bent" or "angular." This molecular shape is also sometimes referred to as "V-shaped" due to its characteristic angular structure.
c. The name of the molecular shape for a molecule consisting of a central atom bonded to 4 outer atoms with no lone pairs on the central atom is "tetrahedral." This molecular shape is characterized by a central atom at the center with four symmetrically arranged outer atoms, forming a three-dimensional tetrahedron-like structure.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1 1/2
Step-by-step explanation:
Answer:
1 1/2
Step-by-step explanation:
3 x 1/2 = 1.5 or 1 1/2
can someone explain the meaning of surface area and give me an example of it is
Answer:
The surface area of a solid object is a measure of the total area that the surface of the object occupies. ... Their work led to the development of geometric measure theory, which studies various notions of surface area for irregular objects of any dimension. An important example is the Minkowski content of a surface.
Press the hotspot next to the name of the learner who wrote an incorrect expression.
Answer:
Luis
Step-by-step explanation:
1
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
7²
The expression above can also be written in the form
Va
For this expression, a =
b=
and c =
Undo
Next
In the given expression 7^(9/4) the values are found to be
a = 7b = 9c = 4How to determine the values of a, b, and cInformation given in the problem
the expression 7^(9/4)
This equation represents exponents in fraction form and the basics for the calculation is from
a^(b/c) = \(\sqrt[c]{a^{b} }\)
Rewriting the expression is done as below
7^(9/4)
= \(\sqrt[4]{7^{9} }\)
\(\sqrt[4]{7^{9} }\) comparing with \(\sqrt[c]{a^{b} }\) gives the following values
a will be equal to 7
b will be equal to 9
c will be equal to 4
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Need help asap please
Answer:
2) y= 4x+17
Step-by-step explanation:
y- y1 = m(x- x1)
y- 5 = 4 (x - (-3))
y-5= 4( x+ 3)
y-5= 4x+ 12
y= 4x+17
is a normal distribution with a mean equal to 0 and a standard deviation equal to 1; it is denoted as n(0,1).
Yes, this is true.
A normal distribution with a mean of 0 and a standard deviation of 1 is often denoted as N(0, 1) or n(0, 1). This distribution is also known as the standard normal distribution. It is a symmetric bell-shaped distribution where the majority of the data falls within approximately three standard deviations from the mean.
The standard normal distribution, denoted as N(0, 1) or n(0, 1), is a specific type of normal distribution that has a mean of 0 and a standard deviation of 1. It is often used as a benchmark for comparing and standardizing data in statistical analysis.
The shape of the standard normal distribution is symmetric and bell-shaped. It follows the familiar "bell curve" pattern, where the data is concentrated around the mean and gradually tails off towards the extremes. The total area under the curve is equal to 1, representing the entire probability space.
The standard deviation of 1 indicates the spread or variability of the data. In a standard normal distribution, about 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and roughly 99.7% falls within three standard deviations.
The standard normal distribution is widely used in statistical calculations and hypothesis testing. It serves as a reference distribution for many statistical methods, such as z-tests and z-scores. By converting data from other normal distributions into standard units using z-scores, researchers can compare and analyze data from different distributions on a common scale.
The standard normal distribution also has specific properties that make it mathematically tractable. The cumulative distribution function (CDF) of the standard normal distribution, often denoted as Φ(z), gives the probability that a standard normal random variable is less than or equal to a given value z. This CDF is tabulated in standard statistical tables or can be calculated using mathematical functions.
Overall, the standard normal distribution is a fundamental concept in statistics, providing a reference distribution for comparing and analyzing data and serving as a basis for many statistical techniques and calculations.
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Suppose E⃗ =2A⃗ +E→=2A→+ 3B⃗ 3B→ where vector A⃗ A→ has components AxAx = 5, AyAy = 2 and vector B⃗ B→ has components BxBx = -3, ByBy = -5.
Therefore, the components of vector E⃗ are Ex = 1 and Ey = -11. Thus, E⃗ = (1, -11).
To solve this equation, let's break it down component-wise. Given:
E⃗ = 2A⃗ + 3B⃗
We can write the equation in terms of its components:
Ex = 2Ax + 3Bx
Ey = 2Ay + 3By
We are also given the components of vectors A⃗ and B⃗:
Ax = 5
Ay = 2
Bx = -3
By = -5
Substituting these values into the equation, we have:
Ex = 2(5) + 3(-3)
Ey = 2(2) + 3(-5)
Simplifying:
Ex = 10 - 9
Ey = 4 - 15
Ex = 1
Ey = -11
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does this situation involve descriptive statistics or inferential statistics? a recent report estimates that four out of every five dentists recommend a brand of toothpaste. responses descriptive statistics descriptive statistics inferential statistics
A recent report estimates that four out of every five dentists recommend a brand of toothpaste situation involves Inferential statistics.
Inferential statistics are widely employed to compare the differences between the treatment groups. Inferential statistics compare the treatment groups and make generalizations about the subject population using data from the experiment's sample of subjects. To offer answers for a situation or phenomena, inferential statistics is helpful. It differs fundamentally from descriptive statistics, which do not allow for result extrapolations and merely report the data that has already been measured.
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