The equation that could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120 - 1/2(x) = 100 - 1/4(x) or x = 80.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.
Let x be the number of seconds at the moment that the two tanks have the same amount of water.
If a tank has 120 gallons of water and is being drained at a rate of 1/2 gallon each second, the the amount of water left after time = x is "120 - 1/2(x)".
If another tank has 100 gallons of water and is being drained at a rate of 1/4 gallon each second, the the amount of water left after time = x is "100 - 1/4(x)".
Equate the two expressions to determine the time, x , at which the two tanks have the same amount of water left.
120 - 1/2(x) = 100 - 1/4(x)
20 = 1/4 x
x = 80
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.08 divided by 13.56
Answer:
0.08 divided by 13.56 = 0.00589970501.
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer: 0.00589970501
4d +5≥ 13 or 7d-2 <12
Answer:
4d + 5 ≥ 13
Step-by-step explanation:
1. 4d + 5 ≥ 13
-5 -5
4d ≥ 8
4d/4 = d
8/4 = 2
d=2
4x2+5 =13
13≥13
2. 7d - 2 < 12
+2 +2
7d < 14
7d/7= d
14/7 = 2
d=2
7x2-2 = 12
12<12
According to the WHO MONICA Project the mean blood preure for people in China i 128 mmHg with a tandard deviation of 23 mmHg. Aume that blood preure i normally ditributed
0.0088 is standard deviation of blood presure is normally distributed.
What is standard deviation simple terms?
Your dataset's average level of variability is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. A low standard deviation means that values are clustered close to the mean, whereas a high standard deviation means that values are typically far from the mean.Blood pressure in china
= P( x> 182.6 )
= P( x> 182.6 - 128/23)
= P( Z > 2.3739 )
= 0.0088
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[tex]8\frac{9}{20} -5\frac{7}{12}[/tex]
The value of fraction [tex]8\frac{9}{20} -5\frac{7}{12}[/tex] = 2.86.
= [tex]8\frac{9}{20} -5\frac{7}{12}[/tex]
it is in the mixed fraction so write it as unmixed.
= 20*8+9 /20 - 12*5+7 / 12
= 160+9 /20 - 60+7 /12
= 169/20 - 67/12
= 8.45 - 67/12
= 12*8.45 - 67 / 12
= 101.4 - 67 / 12
= 34.4/12
= 344/10/12
= 344/10*12
= 344/120
= 2.86
Therefore the value of fraction [tex]8\frac{9}{20} -5\frac{7}{12}[/tex] = 2.86.
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I need help immediately!! For large parties at a certain restaurant, a tip of 20% is automatically included on the bill. Select yes or no to show whether each of the following tip amounts are correct for a 20% gratuity on each subtotal. Round to the nearest cent if necessary.
yes no
subtotal: $224.60
tip: $46.42
subtotal: $173.51
tip: $34.70
subtotal: $124.29
tip: $24.86
20% is .20
multiply .20 to every subtotal to get the tip
$46.42? no its really 44.92
$34.70? yes
$24.86? yes
A line has a slope of -4 and includes the points (-9, -9) and (r, -5). What is the value of r?
what is the value of r?
If a line has a slope of -4 and includes the points (-9, -9) and (r, -5), the value of r is 10.5
A line has a slope of -4 and includes the points (-9, -9) and (r, -5)
Slope of a line passing through two points can be calculated by
m =(y₁ - y₂)/(x₁ - x₂)
The point (-9, -9) be (x₁, y₁ )and (r, -5) be (x₂, y₂)
We need to calculate the value if r
-4 = (-9 - (-5 ))/(-9 - r)
-4 = -4/(-9 - r)
-4 (-9 - r) = -4
38 + 4r = -4
4r = -42
r = 10.5
If a line has a slope of -4 and includes the points (-9, -9) and (r, -5), the value of r is 10.5
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WILL GIVE BRAINLIEST
Insert negative signs, and addition and subtraction symbols to make each sentence true. Example: 1 = 1 +(-2)+(-3)+4+(-5)+6
a. 7= 1?2?3?4?5?6 b. 3= 1?2?3?4?5?6
c. -1=1?2?3?4?5?6 d. -11=1?2?3?4?5?6
The true sentences are:
(a) 7 = 1+2+(-3)+(-4)+5+6
(b) 3 = 1 +(-2)+(-3) +(-4) +5 +6
(c) -1= 1+ 2 + 3 + 4 + (-5) + (-6)
(d) -11= 1 + (-2) + (-3) + 4 + (-5) + (-6)
What is an equation?Two or more expressions with an equal sign are defined as an equation.
(a) The given equation is 7=1?2?3?4?5?6.
7=1?2?3?4?5?6
Insert symbols:
7 = 1+2+(-3)+(-4)+5+6
(b) The given equation is 3=1?2?3?4?5?6.
3=1?2?3?4?5?6
Insert symbols:
3 = 1 +(-2)+(-3) +(-4) +5 +6
(c) The given equation is -1=1?2?3?4?5?6.
-1=1?2?3?4?5?6
Insert symbols:
-1= 1+ 2 + 3 + 4 + (-5) + (-6)
(d) The given equation is -11=1?2?3?4?5?6.
-11=1?2?3?4?5?6
Insert symbols:
-11= 1 + (-2) + (-3) + 4 + (-5) + (-6)
Hence, The true sentences are:
(a) 7 = 1+2+(-3)+(-4)+5+6
(b) 3 = 1 +(-2)+(-3) +(-4) +5 +6
(c) -1= 1+ 2 + 3 + 4 + (-5) + (-6)
(d) -11= 1 + (-2) + (-3) + 4 + (-5) + (-6)
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A certain state uses the following progressive
tax rate for calculating individual income tax:
Income
Progressive
Range ($)
Tax Rate
0 - 3000
2%
3001 - 5000
3%
5001 - 17,000
5%
17,001 and up
5.75%
Calculate the state income tax owed on an $80,000
per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount.
Enter
$80,000 is subject to a $4433 state income tax.
Define tax.Taxes are sums of money that citizens are required to pay in accordance with their income, the value of their property, and other factors. These sums of money are used to fund the government's activities. A taxpayer is a natural person, business, or other entity that must pay taxes. The government may provide identity or reference numbers to individuals or businesses as modern taxpayers. One who pays taxes is often referred to as a "taxpayer".
Given,
The sum of the taxes owed in each bracket is the total amount owed in taxes.
2%×$3000 +3%×(8000 -3000) +5%×(17000 -5000) +5.75%×(80000 -17000)
= 60 +150 +600 +3622.5
= $4432.50
≈ $4433
$80,000 is subject to a $4433 state income tax.
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Cindy works part-time and earns $5.75 an hour. One year she worked 50 weeks and averaged 12.4 hours of work per week. About how much money did she earn that year?
Answer: $3,565, she not paying no bills.
Sodium-24 has a half-life of approximately 15 hours. If only one-eighth of the sodium-24 remains, about how much time has passed?.
The half-life of sodium-24 is around 15 hours. If just 1/8 of the sodium-24 is left, it has been eliminated in 60 hours.
What is the decay and half-life law?The half-life is the amount of time needed for half of the initial population of radioactive atoms to decay. T1/2 = 0.693/λ is the equation that describes the connection between the half-life, T1, and the decay constant. The rate of radioactive atoms decaying at any given instant is precisely proportional to the quantity of atoms present at that time, as stated by the radioactive decay law.
dtd N ∝ N
dtd N = λ N
where, N is number of integrated nucleus present in the sample at any time t and λ is decay constant.
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NEEDED ASAP!! 50 points
Suppose f(x) = 2x - 5 and g(x) = |- 3x - 11. Find each value.
5. f(3)
6. f(1) + g(2)
7. g(0)
8. g(2)-f(0)
9. f(-1) - g(3)
10. 2g(-4)
The value of the given linear functions are:
5. f(3) = 1
6. f(1) + g(2) = 14
7. g(0) = 11
8. g(2) - f(0) = 22
9. f(-1) - g(3) = 20
10. 2g(-4) = 2
We are given the linear functions:
f(x) = 2x - 5 and
g(x) = |- 3x - 11|
Let us solve one by one:
5. f(3)
Substitute the value of x with 3 in f(x), we will get;
f(3) = 2 * 3 - 5 = 6 - 5 = 1
6. f(1) + g(2)
f(1) = 2 * 1 - 5 = 2 - 5 = -3
g(2) = |- 3 * 2 - 11| = |- 6 - 11| = 17
f(1) + g(2) = -3 + 17 = 14
7. g(0)
g(0) = |- 3 * 0 - 11| = | - 11| = 11
8. g(2) - f(0)
g(2) = |- 3 * 2 - 11| = |- 6 - 11| = 17
f(0) = 2 * 0 - 5 = 0 - 5 = -5
g(2) - f(0) = 17 - (-5) = 22
9. f(-1) - g(3)
f(-1) = 2 * -1 - 5 = -2 - 5 = -7
g(3) = |- 3 * 3 - 11| = |- 9 - 11| = 20
10. 2g(-4)
g(-4) = |- 3 * -4 - 11| = |12 - 11| = 1
2g(-4) = 2 * 1 = 2
Thus, the value of the given linear functions are:
5. f(3) = 1
6. f(1) + g(2) = 14
7. g(0) = 11
8. g(2) - f(0) = 22
9. f(-1) - g(3) = 20
10. 2g(-4) = 2
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how do you say kevin skip counts by multiples of 2 starting with 124. what will be true about all of the numbers in his pattern?
Answer:
Some things that will be true are, that the pattern will go 124,126,128,ect
Another thing is that 124 is an even number
Step-by-step explanation:
A rotation by angle ACE using point C as the center takes triangle CBA onto triangle CDE.
a. Explain why the image of ray CA lines up with ray CE.
b. Explain why the image of A coincides with E.
c. Is triangle C BA congruent to triangle CD E? Explain your reasoning.
c. Yes ΔCBA is congruent to ΔCDE because satisfying meaning of definition by congruency.
How to rotate a triangle using a single point as center?
Following these steps will allow you to rotate a triangle around a fixed point: To one of the triangle's vertices, draw a line extending from the fixed point. Draw the rotated line by taking the angle measurement from this line at the fixed point.
a. The triangle is rotated by ∠ACE , the ray CA also rotated by ∠ACE. Thus the image of ray CA lines up with CE.
b. The rotated edge of CA is CE, thus the image of A coincides with E.
c. Rotation by ∠ACE using C as center.
As figure is rotated from ∠C from ΔCBA
⇒ΔCAB ≅ ΔCED
Thus the definition of congruence as that a triangle will be are other triangle if they are congruent
∠CBA ≅ ∠CDE
AC = CD
AB = DE
Yes ΔCBA is congruent to ΔCDE because satisfying meaning of definition by congruency.
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How to solve number 2
The congruent figures are rectangles that are ABCD is congruent to JKLM.
Given that,
In the picture we have a graph,
We have to find the congruent figures.
In terms of geometry, congruent means having the same dimensions and form. Figures, angles, and line segments can all be used to demonstrate congruence. If two angles have the same measure, they are said to be congruent. When the corresponding sides and angles of two triangles are equal, two triangles are said to be congruent.
The congruent figures are rectangles that are ABCD is congruent to JKLM.
Therefore, The congruent figures are rectangles that are ABCD is congruent to JKLM.
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Find x.
a) 3√3
b) 81
c) 9√3
d) 6√3
Step-by-step explanation:
(x + 2)( x – 2)
A. x2 − 8
B. 3x2 − 14x − y
C. x2 − 4
D. x2 − 2
2. Factor Completely: x2 − 36
A. (x + 6)(x – 6)
B. (x + 6)(x + 6)
C. (x – 6)(x − 6)
D. Prime
3. Factor Completely: 4x2 − 81
A. (4x – 9)(x + 9)
B. (2x + 9)(2x + 9)
C. (2x + 9)(2x – 9)
D. (2x – 9)(2x − 9)
4. Factor Completely: x2 + 16
A. (x + 4)(x + 4)
B. (x + 4)(x – 4)
C. Prime
D. (x – 4)(x − 4)
5. Factor Completely: 2x2 − 18
A. Prime
B. 2(x2 − 9)
C. 2(x + 3)(x – 3)
D. 2(x + 3)(x + 3)
6. Factor Completely: 3x2 − 21
The base of a parallelogram is 6ft more than the height. If the area of the parallelogram is 27ft^2, what are the measure of the base and the height?
The measure of the base and the height of the parallelogram are;
Height = 3 ft
Base = 9 ft
How to calculate the area of a parallelogram?The formula for the area of a parallelogram is expressed as;
Area = Base × Height
From the question, we are told that the base of the parallelogram is 6 ft more than the height. Thus;
Base = 6ft + h
If the area of the parallelogram is 27 ft^2, then the measures of the base and the height is calculated as;
27 ft² = ( 6 + h ) × h
27 = 6h + h²
h² + 6h - 27 = 0
h² + 9h - 3h - 27 = 0
h(h + 9) - 3(h + 9) = 0
(h + 9)(h - 3) = 0
h = -9 or 3
We will pick the positive one which is 3 and so;
height = 3ft
Base = 6 + 3
Base = 9ft
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What is an equation of the line that passes through the points (0, 4) and (-6, 8)?
Answer,
Submit Answer
The required equation of the line is 3x + 2y = 8.
What is an equation?
Algebra is concerned with two types of equations: polynomial equations and the particular case of linear equations. Polynomial equations have the form P(x) = 0, where P is a polynomial, while linear equations have the form ax + b = 0, where a and b are parameters, when there is only one variable. To solve equations from either family, algorithmic or geometric approaches derived from linear algebra or mathematical analysis are used. Algebra also explores and solves Diophantine equations with integer coefficients. The approaches employed are unique and derive from number theory. In general, these equations are complex; one frequently searches just for the existence or lack of a solution, and, if they exist, the number of solutions.
The required equation of the line is
(y-4) = (0+6)/(4-8) (x-0)
or, y - 4 = 6/(-4) x
or, y - 4 = -3/2 x
or, 2y - 8 = -3x
or, 3x + 2y = 8
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Marques is a high school basketball player. In a particular game, he made some three point shots and some free throws (worth one point each). Marques made a total of 8 shots altogether and scored a total of 12 points. Determine the number of three point shots Marques made and the number of free throws he made.
The number of 3point shot made by Marques is 2 and the number of free throws he made is 6
What are Simultaneous equations?Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations. This implies that the simultaneous equations have a common solution.
If the number of 3points made is x and the number of free throw is y, then
x+y= 8 equation 1
the total points made will be
3x+y= 12 equation 2
subtracting equation 1 from 2
2x = 4
x= 4/2= 2
substitute 2 for x in equation 1
2+y= 8
y= 8-2= 6
therefore the number of 3points shot and free throw made are 2 and 6 respectively.
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How do I figure out area?.
We can figure out area of any polygon we majorly follow the two steps first we divide any polygon into the shape of any known geometrical figures or in general integrate it.
What is area ?A two-dimensional figure, form, or planar lamina's area is a measure of how much space it takes up in the plane. The area is simply the amount of cloth or other material with the specified thickness needed to build a model of the shape or the quantity of paint required to cover the shape's surface in a single layer, or "coat," of paint. It is the two-dimensional representation of a curve's length or a solid's volume, where length is a one-dimensional concept and volume is a closely related three-dimensional term.
There are a tonne of 2-D shapes all around us, including circles, triangles, squares, rectangles, parallelograms, and trapezoids. You are able to draw.
To figure out area of any polygon we follow the following two ways:
Divide the shape into triangles and sum up the areas. This technique is used in polygonsBy finding an equation of the shape or a part of it and then integrate followed by summing up the areas of the parts.To know more about Area, visit:
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a ream of paper contains 500 sheets. how many reams are needed to type a manuscript of 6000 pages? Explain why.
Answer: 12 reams of paper
Step-by-step explanation:
The total number of pages (sheets) necessary is 6000. If a single ream of paper contains 500 sheets, to solve the problem, you need to figure out how many 500s go into 6000. This can be done via division, and therefore,
[tex]6000/500=12[/tex]
which of the following is correct about a probability distribution? each outcome must be between 0 and 1 inclusive outcomes must be mutually exclusive sum of all possible outcomes must equal 1 all the above
Answer:
All of the above are correct.
what is please im stuck on this question y=−3x+21?
A spinner was spun 30 times. It landed 6 times on red, 9 times on yellow, and 15 times on blue.
Calculate the probability of the spinner landing on each color.
Answer:
The probility is 10%
Step-by-step explanation:
Jon works on a cruise ship and sleeps in a cabin that is 6 feet below sea level the main deck is 35 feet above jon's cabin. How far above sea level is the mian deck?
Answer:
29 feet
Step-by-step explanation:
35 - 6 = 29
The main desk is
29 feet above sea level
Simplify the following expression. -4 × (-7) A. -28 B. -11 C. 28 D. 11
Answer:
C. 28
Step-by-step explanation:
-4×(-7)
Open bracket
-4×-7
=28
please help what is the solution
Answer:
1<x≤6
Step-by-step explanation:
Subtract 5 from 6 and 5 and 11
Find the set values taken by 1/ 9x^2 +12x +7 for real values of x. (The whole quadratic equation goes under 1/)
The function f(x) = 1/9x² + 12x + 7 has zeros or solution as x = -0.61
Roots of Quadratic FunctionRoots of quadratic equation is the values of variables satisfying the given quadratic equation are called its roots. In other words, x = α is a root of the quadratic equation f(x), if f(α) = 0. The real roots of an equation f(x) = 0 are the x-coordinates of the points where the curve y = f(x) intersect the x-axis.
The roots of the quadratic function or zeros of the function is the actual solution of the quadratic function.
In the given function f(x) = 1/9x² + 12x + 7 has roots of -0.608≅ -0.61
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ABCD is a rhombus.
The coordinates of A are (5,11)
The equation of the diagonal DB is y = [tex]\frac{1}{3}[/tex] x + 5
The equation of the diagonal AC can be written in the form y = mx + c where m and c are integers.
Work out the value of m and the value of c.
Answer:
m = - 3 and c = 26
Step-by-step explanation:
• the diagonals of a rhombus are perpendicular bisectors of each other
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 5 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then
y = - 3x + c ← is the partial equation of AC
to find c substitute A (5, 11 ) into the partial equation
11 = - 15 + c ⇒ c = 11 + 15 = 26
y = - 3x + 26 ← equation of diagonal AC
with m = - 3 and c = 26
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The amount owed at the end of the 6 years duration is $10865
How to determine the amount owed in six years?The given parameters about the compound interest are
Principal Amount, P = $5300
Interest Rate, R = 8%
Time, t = 6 years
To calculate the amount owed, we make use of the following formula
A = P + CI
Where
Compound interest, CI = P(1 + R)^t - P
So, the equation becomes
A = P + P(1 + R)^t - P
Evaluate the like terms
A = P(1 + R)^t
In this question, the formula is given as
A = P(1 + r/n)^nt
Where
n = 12, i.e compounded monthly
Substitute the known values in the above equation
A = 5300 * (1 + 8%/12)^(6*12)
Express 8% as decimal
A = 5300 * (1 + 0.08/12)^(6*12)
Evaluate the sum
A = 5300 * (1.01)^(6*12)
Evaluate the exponent
A = 5300 * 2.05
Evaluate the product
A = 10865
Hence, the value of the amount after 6 years is $10865
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Ramon earns $1,615 each month and pays $53.70 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Ramon spends _____% of his earnings on electricity each month.
Answer:
Around 3.3%
Step-by-step explanation:
