Amount of one tin of paint is $14 and the total amount Mr. Chong have is $172.
Let amount of one tin of paint = x
Let the total amount Mr. Chong having = y
On buying 18 tins of paint, he will need another $80. This can we mathematically represented as,
18x = y + 80
On rearranging this equation can be written as,
18x - y = 80 equation 1
On buying 10 tins of paint, he will will have $32 left. This can we mathematically represented as,
10x = y - 32
On rearranging this equation can be written as,
-10x + y = 32 equation 2
On adding equation 1 and equation 2, we get
18x - y -10x + y = 80 + 32
8x = 112
x = (112/8) = 14
On substituting x = 14 in equation 2 , we get
-140 + y = 32
y = 172
So, amount of one tin of paint is $14 and the total amount Mr. Chong have is $172.
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Which length of time is between 10.55 pm and 1.20 am?
A 1h 25 min
B 2h 15 min
C 2h 25 min
D 3h 25 min
From 10:55 pm to 11:00 pm, 5 minutes have elapsed.
From 11 pm to 12:00 pm, 60 minutes have elapsed, and from 12:00 pm to 1:00 am, another 60 minutes have elapsed, from 1:00 am to 1:20 am, 20 minutes have elapsed plus.
x = 5m ➕ 60m ➕60m ➕ 20 mx = 145 minutesIn the 145 minutes, there are 2 hours and 25 minutes.
Answer: From 10:55 pm to 1:20 a.m there is a time period of 2 hours and 25 minutes. Correct alternative is "C".
SkandarPlease help.
The diagram is placed on a coordinate plane in Quadrant 1, with the origin (0,0) at the intersection of North Street and Wilson Street.
Using linear function concepts, it is found that:
a) They intersect at (0,20).
b) They intersect at (14,0).
c) They intersect at (0,3).
d) The equation is: y = -10/7x + 20.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The intersections are the points where they cross, hence:
North and Main: (0,20).Wilson and Main: (14,0).North and New: (0,3).Main Street goes through points (0,20) and (14,0), hence the intercept is of b = 20 and the slope is found as follows:
(0 - 20)/(14 - 0) = -10/7.
Hence the equation is:
y = -10/7x + 20.
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Find a pattern for each sequence. Describe the pattern and use it to show the next two terms.
8. 1000, 100, 10, ...
9. 5, -5, 5, -5, ...
10. 34, 27, 20, 13, ...
11. 6, 24, 96, 384, ...
8. 1,1
9. 5,-5
10. 4, -3
11. 1536, 6144
The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence. For instance, the natural number sequence 1, 2, 3, 4, 5, 6,... is an example of an arithmetic progression. It has a common difference of 1 between two succeeding terms (let's say 1 and 2). (2 -1). We can see that the common difference between two subsequent words will be equal to 2 in both the case of odd and even numbers.
8. 1000, 100, 10,
In this sequence, each term is getting divided by 10,
So, next two terms are, 1, 1
9. 5, -5, 5, -5, ..
In this sequence, each term is alternating with a minus sign,
So, next two terms are 5, -5
10. 34, 27, 20, 13, ...
In this sequence, each term is i getting substracted by 7,
So, next two term are 4, -3
11. 6, 24, 96, 384, ...
In this sequence each term is getting multiplied by 4,
So, next two terms are 1536 , 6144
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−|−5⋅(−7)| simplified
The answer to this question is:
−|−5⋅(−7)| = −35
The non-negative quantity of a real number x, regardless of its sign, is its absolute value (or modulus), | x |. For instance, the number 5 has a value of 5 and an absolute value of 5.
So, here first we have to solve the expression written inside the modulus and then the remaining part.
−| −5⋅(−7) | = −| −5*(−7) |
= −| 35 |
The absolute value of | 35 | is non-negative value of 35
| 35 | = 35
So, −| −5⋅(−7) | = −| 35 | = −35
Therefore, −|−5⋅(−7)| = −35
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A projectile is launched from ground level with an initial velocity of vo feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by s=-16t² + vol.
Find the time(s) that the projectile will (a) reach a height of 208 ft and (b) return to the ground when vo is 64 feet per second.
a) The times that the projectile will reach a height of 20.8 ft are 3.643 seconds and 0.357 seconds, respectively.
b) The projectile will hit the ground 4 seconds later of its launch.
How to analyze the launch of a projectile
Herein we find a physical model known as projectile motion, which considers that the motion of the object is created solely by gravity and effects from Earth's rotation and air viscosity are neglected. The height of the projectile is represented by the following quadratic equation:
s = - 16 · t² + 64 · t
In the first part, we need to determine when the projectile will reach a height of 20.8 feet:
20.8 = - 16 · t² + 64 · t
16 · t² - 64 · t + 20.8 = 0
(t - 3.643) · (t - 0.357) = 0
The times that the projectile will reach a height of 20.8 ft are 3.643 seconds and 0.357 seconds, respectively.
And the time when the projectile hits the ground is found by solving on t in the following quadratic equation:
- 16 · t² + 64 · t = 0
- 16 · t · (t + 4) = 0
The projectile will hit the ground 4 seconds later of its launch.
RemarkIn the part (a) a dot symbol was omitted, correct part is: Find the time(s) that the projectile will (a) reach a height of 20.8 ft.
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7 7/9 as an improper fraction
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{7 \dfrac{7}{9}}[/tex]
[tex]\mathsf{= \dfrac{7\times9 + 7}{9}}[/tex]
[tex]\mathsf{= \dfrac{63 + 7}{9}}[/tex]
[tex]\mathsf{= \dfrac{70}{9}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{{\dfrac{70}{9}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
The number of digits in the square root of 3686400 is ---------
[one word Q]
Answer:
4
Step-by-step explanation:
[tex]\sqrt{x} 368640 = 1920[/tex]
The number of digits in 1920 is 4
The number of digits in the square root of 3686400 is 4.
What is square root?In mathematics, the square root is a component that, when multiplied by itself, equals the original integer. For instance, the square roots of 9 are both 3 and -3.
The square root of 3686400 is,
√3686400 = ±1920
The number of digits in 1920 is 4.
Only four digits make up 4-digit integers; the first digit must be one or higher, and the other three can be any number between 0 and 9. Examples of four-digit numbers include 5693, 1023, and 9825.
Thus, the number of digits in the square root of 3686400 is 4.
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can some one help me ?
The original price of a computer was reduced by $250. If p = the computer's original price in dollars, which algebraic expression represents the reduced price? O A. p - 250 OB. 250 - p O c. 250+ p O D. 250p
The original price of a computer was reduced by $250. If p = the computer's original price in dollars. p-250 is algebraic expression represents the reduced price.
The original price of a computer was reduced by $250
p = the computer's original price in dollars
reduced price = original price - reduction
algebraic expression can be written as:
p-250
The complete cost of purchasing an item is known as the original cost. The whole costs associated with purchasing and using an asset are taken into account when calculating its initial cost.
Listing price, also known as asking price, is the price at which a seller has placed a property on the market, but selling price is the price at which it actually sells. These days, properties that sell for significantly more than their asking or listed price receive a lot of media attention.
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Which term best describes the geometric figure? Points A and B are connected by a line.
The best that describes the geometric figure is a line segment.
A line segment is a part of a line that connects two points which are considered to be its endpoints.
If points A and B are connected by a series of points that extended infinitely in opposite direction, then AB is a line, so The best describes the geometric figure is a line segment.
If points A and B are connected by a series of points that extended infinitely in opposite direction, then AB is a line, so that the best describes the geometric figure is a line segment.
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100 POINTS What is a term in Polynomials?
Answer:
Terms of a Polynomial
So, each part of a polynomial in an equation is a term. For example, in a polynomial, say, 2x2 + 5 +4, the number of terms will be 3.
Nigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters.
A triangle has points Nigel, Mia, and Treasure Chest. The distance from Nigel to Mia is 100 meters. The angle between Treasure Chest, Nigel, and Mia is 65 degrees. The angle between Nigel, Mia, and Treasure Chest is 80 degrees.
Given the angles in the diagram, who is closer to the treasure chest and why?
Nigel is closer because his distance to the chest is opposite the larger angle.
Mia is closer because her distance to the chest is opposite the smaller angle.
Nigel is closer because his distance from the chest is 100 meters.
Mia is closer because her distance from the chest is 100 meters.
Answer:Mia is closer because her distance to the chest is opposite the smaller angle. Nigel is closer because his distance from the chest is 100 meters
Step-by-step explanation:
Answer:
B. Mia is closer because her distance to the chest is opposite the smaller angle.
Step-by-step explanation:
The answer is
B. Mia is closer because her distance to the chest is opposite the smaller angle.
Your welcome <3
What property is (3+2) x 4 = 4 x (3+2)
Answer:
Commutative Property of Multiplication
Step-by-step explanation:
Hello!
(3+2) and 4 are factors of the multiplication equation. Flipping them around would still give the same answer.
This is the Commutative Property, specifically the Commutative Property of Multiplication.
13. kara walks five days each week. this week she walked 7/8 mile on monday, 3/5 mile on tuesday, 4/10 on
wednesday, 1/10 mile on thursday, and 9/10 mile on friday. use benchmark fractions to estimate the total
distance kara walked this week. explain your reasoning.
The total distance, in miles, that kara walked at the park this week is 57/20.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that kara walks five days each week. this week she walked 7/8 mile on monday, 3/5 mile on tuesday, 4/10 on wednesday, 1/10 mile on thursday, and 9/10 mile on friday.
Now, in order to find the total distance, in miles, that kara walked at the park this week.
kara walked on Monday = 7/8
kara walked on Tuesday = 3/5
kara walked on wednesday = 4/10
kara walked on thursday=1/10
kara walked on friday= 9/10
Now, to get the total distance in miles by adding both the miles she walked this week:
7/8 + 3/5 +4/10 + 1/10 + 9/10
35/40 + 24 / 40 + 14/10
59/40 + 14/10
114/40
57/20
Therefore, the total distance, in miles, that kara walked at the park this week is 57/20.
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Not sure how to go about this
Answer:
hoping the equation wasn't cut off. from what i see it started at 1/2.
-3
__
Work[tex]\left(4\right)^2=16\\=\frac{1}{2}\cdot \:16-2\left(4\right)-3\\=\frac{1}{2}\cdot \frac{16}{1}\\=\frac{1\cdot \:16}{2\cdot \:1}\\=\frac{16}{2}\\\frac{16}{2}=8\\=8-2\left(4\right)-3\\2\left(4\right)\\2\cdot \:4 = 8\\=8-8-3\\8-8=0\\0-3\\= -3[/tex]
__
Hope this helps!
Please help dont be like last guy if you do help i will give you extra points
The quotient of 455 ÷ 36 is 12 with a remainder of 23.
How to calculate the value?It should be noted that the subtraction of 360 from 455 will be 95.
Then after that 72 is subtracted from 95 and this will be 23.
Therefore, the quotient is 12 with a remainder of 23.
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If the nth term of a sequence is
7n + 2 what is the 10th term?
Answer:
72
Step-by-step explanation:
7(10) + 2
70 + 2
72
3. If a horizontal line has the equation f(x) = a and a
vertical line has the equation x = a, what is the point
of intersection? Explain why what you found is the
point of intersection.
Answer:
E
Step-by-step explanation:Step-by-step explanation:Step-by-step explanation:Step-by-step explanation:
#5 a. What is the five-number summary for the data 0, 2, 2, 4, 5, 5, 5, 5, 7, 11
b. When the minimum, 0, is removed from the data set, what is the five-number summary?
The five number summary for
(a) 0,2,2,4,5,5,5,5,7,11 is minimum=0 , median=5 ,maximum=11 ,Q₁=2 ,Q₃=5 .
(b) 2,2,4,5,5,5,5,7,11 is minimum=2 ,median=5 ,maximum=11 ,Q₁=3 ,Q₃=6 .
Median is defined as the center value of the data.
Part(a)
In the given question
the data is 0, 2, 2, 4, 5, 5, 5, 5, 7, 11
(i)the minimum of the data is 0
(ii) maximum of the data is 11.
(iii) median of the data is 5.
(iv)Q₁ = median of the lower half 0,2,2,4,5 is 2.
(v)Q₃ = median of the upper half 5,5,5,7,11 is 5.
Part (b)
after removing minimum 0 the data becomes 2,2,4,5,5,5,5,7,11
(i)the minimum of the data is 2
(ii) maximum of the data is 11.
(iii) median of the data is 5.
(iv)Q₁ = median of the lower half 2,2,4,5 is 3.
(v)Q₃ = median of the upper half 5,5,7,11 is 6.
Therefore , the five number summary for
(a) 0,2,2,4,5,5,5,5,7,11 is minimum=0 ,median=5 ,maximum=11 ,Q₁=2 ,Q₃=5 .
(b) 2,2,4,5,5,5,5,7,11 is minimum=2 ,median=5 ,maximum=11 ,Q₁=3 ,Q₃=6 .
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The average age of undergraduate students at grand canyon university is 44. if the standard deviation is 4, what percentage of undergraduate students are between 36 and 52 years old?
75% is percentage of undergraduate students are between 36 and 52 years old.
What is percentage and example?
A percentage is a ratio or fraction where the full value is always 100. For example, if Sam received 30% marks in his math test, it signifies that he scored 30 marks out of 100. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.The percentage is used to determine “how much” or “how many.” A percentage number aids in calculating the exact amount or figure that is being discussed. Fractions are compared.This would be true if k=3, but k=2
because (36-44)/4 = -2 and (52-44)/4 = 2
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-x^2+x-3<0
Solve X pls
Answer: x < √3 - x
Step-by-step explanation:
-x^2+x-3<0
= x^2+x < 3
= x^2 < 3 - x
= x < √3 - x
gina wilson quiz 4-3
the lcm of (1/√2) + (1/√2)
Answer: LCM would be [tex]\sqrt{2}[/tex]
Step-by-step explanation:
First we need to find number of which we need to find lcm
here we dont have any two number but operator (+) is present
so
first we need to solve this operation
=1/[tex]\sqrt{2}[/tex] + 1/[tex]\sqrt{2}[/tex]
=[tex]\sqrt{2}[/tex]
so lcm of [tex]\sqrt{2}[/tex] would be [tex]\sqrt{2}[/tex].
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Help me please
Two step equation.
1. -15 = -4m + 5
2. 10 - 6v = -104
3. 8n + 7= 31
4. -9x - 13 = -103
5 and six are on the picture
Will give brainliest
answer:
3/4
explanation:
the side lengths of preimage abcd are all four units, whereas image abcd's lengths are all three. from this, we can surmise the scale factor is 3/4.
how to calculate scale factor:
scale factor = dimension of the new shape ÷ dimension of the original shape
point c has a weight of 3, and point E has a weight of 5
need help with number 3 as well please
Using the weighted mean, the coordinates of P when point c has a weight of 3, and point E has a weight of 5 is of P = -1.77.
What is the weighted mean?The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.
For this problem, the points and weights are given as follows:
D = 2 has a weight of 3.B = -6 has a weight of 9.A = -9 has a weight of 2.C = -1 has a weight of 3.E = 6 has a weight of 5.Hence the weighted mean is given as follows:
P = (2 x 3 - 6 x 9 - 9 x 2 -1 x 3 + 6 x 5)/(3 + 9 + 2 + 3 + 5) = -1.77.
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Here are four equations connecting x and y k is a constant
Answer:
A : Equation 4
B: Equation 1
C: Equation 3
D: Equation 2
Step-by-step explanation:
For direct proportionality, it means as one variable increases, the other increases. E.g. as X in eqn 4 increases y increases. Same thing applies to decrease. This is cause y and x are on the "same level". In eqn 2 and 3, y and x are NOT on the same level because of the division sign.
Hope this helps!
Kindly mark (my answer) as brainliest. Thanks.
For the women age 18-24 in hanes2, the average height was about 64.3 inches; the sd was about 2.6 inches. using the normal curve, estimate the percentage of women with heights
Z = 0.65 for a height of 66 inches.
What is Normal Probability Distribution?The most common continuous probability distribution is the Normal (or Gaussian) distribution. As the curve approaches zero on either side of the mean, the function calculates the likelihood that an event will fall between any two real number limits. The area beneath the normal curve is always one.To find Normal Probability Distribution:
The z-score formula can be used to solve normal distribution problems.The z-score of a measure X in a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:[tex]Z=\frac{X-\mu}{\sigma}[/tex]The Z-score indicates how far the measure deviates from the mean. After determining the Z-score, we examine the z-score table to determine the p-value associated with this z-score. This p-value represents the probability that the measure's value is less than X, or the percentile of X. Subtracting 1 from the p-value yields the probability that the measure's value is greater than X.The average height was approximately 64.3 inches, with a standard deviation of approximately 2.6 inches.It means: [tex]\mu=64.3, \sigma=2.6[/tex]66 inches :
The z-score for a 66-inch height is:[tex]\begin{aligned}&Z=\frac{X-\mu}{\sigma} \\&Z=\frac{66-64.3}{2.6} \\&Z=0.65\end{aligned}[/tex]Therefore, Z = 0.65 for a height of 66 inches.
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The complete question is given below:
For the women aged 18-24 in HANES2, the average height was about 64.3 inches; the SD was about 2.6 inches. Express each height in standard units. (Decimal form; two places after decimal.) 66 inches:
Find an approximate equation of the line that passes through the two given. Write the equation in slope-intercept form. Round the slope and the constant term to teo decimal places. (-4. 7,2. 7) and (1. 3,-7. 3)
The equation of the line in slope-intercept form passing through the points (-4.7 , 2.7) and (1.3 , -7.3) is y = -1.67x - 5.13.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The slope-intercept form of the equation of a line is given by the formula:
y = mx + b
where m is the slope of the line
b is the y- intercept
Given the two points, (-4.7 , 2.7) and (1.3 , -7.3), get the slope of the line using the formula:
m = (y2 - y1)/(x2 - x1)
m = (-7.3 - 2.7)/(1.3 - -4.7)
m = -10/6
m = -5/3
Using the slope-intercept form, plug in the value of the slope and one point to determine the y-intercept, b.
y = mx+ b
2.7 = -5/3(-4.7) + b
b = -77/15
Substitute the value of the slope and y-intercept in the slope-intercept form.
y = -5/3 x -77/15
y = -1.67x - 5.13
Hence, the equation of the line in slope-intercept form is y = -1.67x - 5.13.
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Write a decimal addition
problem that has an estimated sum
of 35.
Stock Market At the beginning of the day the stock market goes up 30 1/2 points and stays at this level for most of the day. At
The
the end of the day the stock market goes down 80 1/4 points from the high at the beginning of the day. What is the total change
in the stock market from the beginning of the day to the end of the day?
The total change in the stock market is points.
(Type an integer, proper fraction, or mixed number.)
The total change in the stock market from the beginning of the day to the end of the day is -49.75.
According to the statement
We have to find that the change in the stock market.
So, For this purpose, we know that the
The change is the difference between the current price and the last trade of the previous day.
From the given information:
At the beginning of the day the stock market goes up 30 1/2 points and At
The end of the day the stock market goes down 80 1/4 points.
Then
Stock market goes up through points = 30 1/2 = 61/2
Stock market goes down through points = 80 1/4 = 321/4
Then
Change = +61/2 - 321/4
Change = +30.5 - 80.25
Change = -49.75
So, The total change in the stock market from the beginning of the day to the end of the day is -49.75.
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