The values that are solutions to the inequality -3 < 2x -3 are all real numbers greater than 0.
What is the solution to the given inequality?Given the inequality in the question;
-3 < 2x -3
Solve for x, by making it the subject of the formula.
Subtract 2x from both sides
-3 < 2x -3
-3 - 2x < -3
Add 3 to both sides
-3 + 3 - 2x < -3 + 3
-2x < -3 + 3
-2x < -3 + 3
-2x < 0
Next, divide both sides by -2
-2x/-2 > 0/2
x > 0/2
x > 0
Therefore, the solution to the inequality is x > 0.
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a crowded bus makes several stops along a city street,with no passengers boarding the bus at any stop.At the 1st stop 1/3 of the passengers exit.At the 2nd stop 3/7 of the remaining passengers exit the bus.What fraction of the original passengers remain on the bus?
The fraction of the original passengers remaining on the bus is 11/21.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.
.At the 1st stop 1/3 of the passengers exit.
At the 2nd stop, 3/7 of the remaining passengers exit the bus.
Therefore, The fraction of the original passengers who remain on the bus is,
= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].
= [ 1 - (1/3) - (3/21)].
= [ (2/3) - (3/21)].
= [(14 - 3)/21].
= 11/21.
So, 11/21 remains on the bus.
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(2.1)to the power of2 +5.2-7.2)x7.1
The numeric value of the expression ((2.1)² + 5.2 - 7.2) x 7.1 is given as follows:
17.1.
How to obtain the numeric value of the expression?The expression for this problem is defined as follows:
((2.1)² + 5.2 - 7.2) x 7.1
The precedence of operators follows the PEMDAS acronym, as follows:
P: power operations.E: exponent operations, with the same precedence as power operations, depending which appears first on the expression.M: multiplication operations.D: division operations, with the same precedence as division operations, depending which appears first on the expression.A: addition operations.S: subtraction operations, with the same precedence as subtraction operations, depending which appears first on the expression.Hence the parenthesis takes precedence, thus:
(2.1)² + 5.2 - 7.2.
Then the power takes precedence, thus:
(2.1)² + 5.2 - 7.2 = 4.41 + 5.2 - 7.2
Addition and subtraction can be done in any order, hence:
4.41 + 5.2 - 7.2 = 2.41.
Then the multiplication is given as follows:
2.41 x 7.1 = 17.1.
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In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 12 times out of 15 attempts. Tasha has hit the ball 9 times out of 10 attempts. Which player has a ratio that means they have a better batting average? Tasha, because she has the lowest ratio since 0.9 > 0.8
B) Tasha, because she has the highest ratio since 27 over 30 is greater than 24 over 30
C) Jana, because she has the lowest ratio since 0.9 > 0.8
D) Jana, because she has the highest ratio since 27 over 30 is greater than 24 over 30
Step-by-step explanation:
as the description says, the higher the ratio the better.
9/10 = 0.9
12/15 = 4/5 = 0.8
so, Tasha has the better batting average, as she has the higher ratio.
9/10 = 27/30
12/15 = 24/30
27/30 is higher than 24/30.
there are no good answers on brainly can someone pls answer this
Answer:
D
Step-by-step explanation:
explanation on the other response on ur other question
Cardi B uses 1/2 cup of sugar to make 4 1/3 batches of brownies. How much sugar is required to make each batch of brownies?
The sugar required to make each batch of brownies is 3/26 cups
How to determine how much sugar is required to make each batch of brownies?From the question, we have the following parameters that can be used in our computation:
Brownies = 4 1/3 batches
Sugar = 1/2 cups
The amount of sugar required to make each batch of brownies is then calculated as
Sugar needed = Sugar/Brownies
Substitute the known values in the above equation, so, we have the following representation
Sugar needed = (1/2)/(4 1/3)
Evaluate
Sugar needed = 3/26
Hence, the amount is 3/26 cups
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Rewrite the limit as a definite integral for number 13
The notation of the limit as a definite integral is given as follows:
[tex]\lim_{n \rightarrow \infty} \sum_{k = 1}^{n} \sqrt{k} \times n^{-\frac{3}{2}} = \int_0^{n^{-\frac{1}{2}}} \sqrt{x} dx[/tex]
How to write the limit as an integral?The limit for this problem is defined as follows:
[tex]\lim_{n \rightarrow \infty} \sum_{k = 1}^{n} \sqrt{k} \times n^{-\frac{3}{2}}[/tex]
This is a limit of a Riemann sum, hence it can be written as a definite integral according to the rule presented as follows:
[tex]\int_a^b f(x) dx = \lim_{n \rightarrow \infty} \sum_{i = 1}^{n} f(a + \Delta_x i) \Delta_x[/tex]
As the second term is only a factor of n, the Delta is given as follows:
[tex]\Delta_x = n^{-\frac{3}{2}}[/tex]
As the a term does not appear in the function, the value of the coefficient a is given as follows:
a = 0.
The parent function dependent on k is given as follows:
[tex]f(x) = \sqrt{x}[/tex]
The parameter b is obtained as follows:
[tex]\Delta_x = \frac{b - a}{n}[/tex]
[tex]n^{-\frac{3}{2}} = \frac{b}{n}[/tex]
[tex]b = n^{-\frac{1}{2}}[/tex]
(the parameter n is not given).
Hence the definite integral is obtained as follows:
[tex]\int_0^{n^{-\frac{1}{2}}} \sqrt{x} dx[/tex]
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5. Miss Diaz wants her students to practice making the next ten.
a. Circle the problems Miss Diaz should give her students.
12 + 23
38 + 22
64 +99
36 + 40
79 +48
b. Explain why Miss Diaz should give the problems you circled.
Her class of 30 pupils can be divided into 10 groups using 5 groups of 2 students and 5 groups of 4 students each.
what is circle ?A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Every pair of points in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle.
given
10 groups of 3 students = 30 students :
5 groups of 2 students + 5 groups of 4 students = 30 students : 7 groups of 3 students + 3 groups of 3 students = 30 students
so Her class of 30 pupils can be divided into 10 groups using 5 groups of 2 students and 5 groups of 4 students each.
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How do I solve this system of equations using the elimination method.(I don't just want the answer, I want an explanation on how to get the answer.)
y=3x+13
2x=y-9
Answer:
y=3x+13
2x=y-9
Step-by-step explanation:
i need to know :(
Answer:
Step-by-step explanation:
Substitute 1 in 2 and solve for x.
2x=y-9
2x=3x+13-9
2x = 3x+4
-x = 4
x = -4
Then use equation 1 to solve for x.
y = 3x+13
y = -12+13
y= 1
y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost for rear crash repair cost for a certain models sedan use the equation to predict the full rear repair cost from a full front repair cost of $4594
Therefore the predicted full rear repair cost would be $1211.576 if y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost.
What is line of regression?When modeling the connection between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, while multiple linear regression is used when there are numerous variables.
What is scalar?Physical values known as scalars are unaffected by modifications to the vector space basis. Scalars frequently include units of measurement, such as "10 cm." Scalar quantities include things like mass, space, charge, volume, time, speed, and the overall size of physical vectors.
To predict the full rear repair cost from a full front repair cost of $4594, you would substitute 4594 for x in the equation y = 2060 - 0.186x and solve for y.
y = 2060 - 0.186(4594)
y = 2060 - 848.424
y = 1211.576
So the predicted full rear repair cost would be $1211.576
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Answer:
$1,206
Step-by-step explanation:
I need the answer for 9 and 10
Translate the sentence into an equation.
Five times the sum of a number and 9 equals 3.
Use the variable y for the unknown number.
Answer: To translate the given sentence into an equation, we can start by replacing the words "five times the sum" with the mathematical expression "5(x + 9)". Then, we can replace the word "number" with the variable y, to get:
5(y + 9) = 3
Next, we can distribute the 5 to obtain:
5y + 45 = 3
Finally, we can subtract 45 from both sides to solve for y:
5y = -42
y = -42/5
y = -8.4
Therefore, the equation that represents the given sentence is y = -8.4.
Step-by-step explanation:
Tom will create a password for his computer. The password must be a list of three different lowercase letters of the alphabet. How many passwords are possible?
Find the slope of the line.
Answer:
-5/4
Step-by-step explanation:
slope(m)= y2-y1/x2-x1
from the graph 5-0/-2-2
=5/-4
answer = -5/4
I need help, please if you can.
The best price for her to purchase ice cream is given as follows:
D. $49.60 / five gallon tub.
How to obtain the best price?The best price is obtained applying the proportions in this problem, dividing the price by the volume of the cartoon/tub, in ounces.
For item a, the price per ounce is calculated as follows:
3.99/24 = $0.16625 per ounce.
The ratios for the remaining items are given as follows:
Quarts to ounces: 1 quart = 32 ounces.Gallons to ounces: 1 gallon = 128 ounces.Hence the prices for items b, c and d are given as follows:
Item b: 4.8/32 = $0.15 per ounce.Item c: 11/128 = $0.085 per ounce.Item d: 39.6/(5 x 128) = $0.06 per ounce.Due to the lower cost per ounce, the option D represents the best option for her to purchase ice cream.
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WHAT IS A PRICE OF A 7 - MINUTE DIAL DIRECT CALL TO NEW YORK, NY, WHEN YOU
CALL IN THE EVENING?
The price of a seven minute call direct to New York, in the evening, is given as follows:
$5.82.
How to obtain the cost of the call?The cost of the call is obtained considering the information given in the table, for which the proportions are applied.
We have a direct call, meaning that it is a person-to-person call, thus the flat rate is of $3.00 per minute.
Then the minute proportions, considering that the call happens in the evening, are given as follows:
First minute: 0.38 of $3.Each additional minute: 0.26 of $3.A seven minute call is composed by six additional minutes after the first, hence the total cost is obtained as follows:
0.38 x 3 + 6 x 0.26 x 3 = $5.82.
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An odometer show that a car has traveled 40,000 miles by January 1, 2020. The car travels 16,000 miles each year. Write an equation that represents the number y of miles on the car’s odometer x years after 2020.
y = __
The equation will be [tex]y=40000+16000*x[/tex]
How do you resolve a two-variable equation?Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.
Two variables are used in what kind of equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.
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A construction worker is making concrete by mixing sand, gravel, and cement in water. For each pound of sand, he uses 1 2/3 pounds of gravel. For each pound of gravel, he uses 2/5 pound of cement. He is making enough concrete that he needs to use 3 pounds of sand. How many pounds of cement does he use? PLEASE HELP DUE NOW !! TYYY
A. 1 pound
B. 1 4/15 pounds
C. 2 pounds
D. 2 1/15 pounds
Using mathematical operations, the construction worker requires C. 2 pounds of cement to mix 3 pounds of sand.
What are the mathematical operations?The basic mathematical operations are subtraction, addition, division, and multiplication.
These mathematical operations combine numbers, variables, mathematical operands, and the equation symbol to solve mathematical problems.
In this situation, we can apply the mathematical operation of multiplication to determine the quantity of cement required for 5 pounds of gravel.
The quantity of gravel per pound of sand = 1²/₃ = 1.667 pounds
For 3 pounds of sand, the quantity of gravel required = 5 pounds (1²/₃ x 3)
The quantity of cement per pound of gravel = ²/₅ pounds or 0.4
For 3 pounds of sand and 5 pounds of gravel, the quantity of cement required = 2 (5 x 0.4) or (5 x ²/₅)
Thus, 2 pounds of cement are needed to mix with 3 pounds of sand and 5 pounds of gravel.
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can someone help me please
Answer:
Step-by-step explanation:
-1 +2=1
2+2=4
5+1=6
Benjamin and Felix are 35 miles apart. At 3:00pm they start jogging towards each other. Benjamin jogs at a pace of 16 minutes per mile. Felix jogs at a pace of 10 minutes per mile. how many miles will Benjamin jog in 45 minutes
Using division operation, since Benjamin jogs at a pace of 16 minutes per mile, in 45 minutes he will jog 2.8 miles.
What is the division operation?The division operation is one of the basic mathematical operations, including addition, subtraction, and multiplication.
The division operation involves dividing the dividend (the numerator) by the divisor (the denominator) to obtain the quotient (the result).
The distance between Benjamin and Felix = 35 miles
Benjamin's jogging pace or speed = 16 minutes per mile
Felix's jogging pace or speed = 10 minutes per mile
The number of miles that Benjamin can jog in 45 minutes = Time/Speed
= 2.8125 miles (45/16)
Thus, Benjamin will jog 2.8 miles in 45 minutes.
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Choose the expression that is equivalent to fraction with 7 raised to the negative tenth power in the numerator and 7 raised to the fourth power times seven raised to the zero power in the denominator.
negative 1 divided by 7 raised to the fourteenth power
−714
1 divided by 7 raised to the fourteenth power
714
Step-by-step explanation:
note that 7⁰ is always 1.
[tex] \frac{ {7}^{ - 10} }{ {7}^{4} } \\ \\ \frac{1}{ {7}^{14} } \\ \\ {7}^{ - 14} [/tex]
the answer is shown above
Answer:
Last option, [tex]\frac{1}{7^{14} }[/tex]
Step-by-step explanation:
[tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex]=>[tex]\frac{7^{-10} }{7^{4+0}}[/tex]=>[tex]\frac{7^{-10} }{7^{4}}[/tex]=>[tex]7^{-10-4}[/tex]=>[tex]7^{-14}[/tex]=>[tex]\frac{1}{7^{14} }[/tex]
Which of the following has kinetic energy?
O A. Food
O.B. Motion
OC. Gravity
OD. Light
Answer:
light
Step-by-step explanation:
it has kinetic energy
Answer:
Step-by-step explanation: Kinetic energy is made because of movement. So Motion would be the correct answer
Rosa goes to a restaurant and orders a meal that code $9. She wants to leave a 20% tip for the server. What is the total cost of Rosa meal?
Answer:
$10.80
Step-by-step explanation:
9 times 0.20 equals 1.80
9 + 1.80 = $10.80
In a certain chemical, the ratio of zinc to copper is 3 to 14. A jar of the chemical contains 686 grams of copper. How many grams of zinc does it contain?
Answer:
Ratios and fractions are connected. A ratio of 3 to 14 is the same thing as 3/14. Multiply 686 by 3/14. You will get 147. That is your amount of zinc. If we simplify 147/686, or 147:686, we get 3:14 confirming our answer.
Answer:
147 grams of zinc-----------------------------------
Let the amount of zinc be x. Then we have equal ratios:
3/14 = x/686Solve it for x:
x = 686*3/14x = 147Write an equation in slope-intercept form for the line perpendicular to y = -2x + 5 and containing the point (8,-3)
slope-intercept form of an equation for the line perpendicular to y = -2x + 5 is
y = 1/2x -7
What is perpendicular line?
The straight line that makes 90 degrees angle with a given line is called the perpendicular to the first line. The indicator of a line perpendicular to other line is the slope that is negative reciprocal to each other.
What is the equation of line perpendicular to the given line?
we know the slope intercept form of an equation of line is y = mx + b
m is the slope of line and b is the y intercept.
given, equation of a line, y = -2x+5
the slope m = -2 and y intercept, b = 5
we need to write an equation in slope-intercept form that perpendicular to the above line and containing the point (8, -3)
The required line of equation will have a slope equal to the negative reciprocal of the given slope.
hence, the slope will be m = 1/2
the equation of straight line will be y = 1/2x + b
as the line passes through the points (8, -3)
so, -3 = 1/2 × 8 + b
b = -7
y intercept of the new equation = -7
the new equation of line is y = 1/2x -7
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The product of 12 and k is 84. Solve for k.
Answer:
the k is 7
Step-by-step explanation:
12×2=24
12×3=36
12×4=48
12×5=60
12×6=72
12×7=84
Answer:
k = 7
Step-by-step explanation:
The product of 12 and k is 84 [tex]\rightarrow 12k=84[/tex].
[tex]12k = 84 \\ k = \dfrac{84}{12} \\ \boxed{k = 7}[/tex]
Patty made a scale drawing of a park using a scale of in.=45ft. The table below shows the side lengths in her drawing. Jamie uses Patty's drawing to make a different scale of 2 in.= 35ft. Which value is one of the side lengths o Jamie's drawing?
Answer: A scale is a ratio of the size of the representation (such as a drawing) to the size of the real-world object being represented. In this case, Patty's drawing uses a scale of 1 inch = 45 feet, and Jamie's drawing uses a scale of 2 inches = 35 feet.
In order to find the side length of Jamie's drawing of one of the side length we need to use a proportion:
Jamie's side length / Patty's side length = Jamie's scale / Patty's scale
So if we know one of the side length of Patty's drawing we can find the side length of Jamie's drawing. Let's assume that the side length of Patty's drawing is x
x / Jamie's side length = 45 / 35
So we can isolate Jamie's side length by multiplying both sides by Jamie's scale of 35ft/2 inches
Jamie's side length = (x*35)/45
This is the length of one side length in Jamie's drawing using the scale of 2 inches = 35 feet. If you don't have the length of one side in patty's drawing you can't find the side length of Jamie's drawing.
Step-by-step explanation:
Please help answer question
Answer: x = 9
Step-by-step explanation: To find the value of x, we must understand a few things:
- whatever is in lines like | 2x + 4 | means it's the absolute value or positive value of the number.
Now, with that out of the way, I have one more thing to explain.
- whenever trying to find the value of a variable, you need to do inverse operations, so the opposite of adding is subtracting, and the opposite of multiplication is division. Now, let's solve:
22 - 4 = ?
? = 18
18 / 2 = ?
?(x) = 9
Therefore, x = 9
We can check our answer by doing:
| 2(9) + 4 | = 22
2 x 9 = 18
18 + 4 = 22
22 = 22
So, both answers add up, so x = 9
I hope this helps!
Help please — How many whole months will it take for a motorbike valued at £2550 to depreciate to less than £1200 if depreciation is at a rate of 5% per month?
Using Continuous compounding in 15.07 months, the bike's value will be less than £1200.
What is Continuous compounding?Continuous compounding refers to the process of compounding interest at an infinitely frequent rate. It is a way to figure out how much an asset will depreciate over time or how much an investment will increase.
[tex]A=Pe^{rt}[/tex]
where:
A is the asset's final value
P is its initial value
r is the interest rate (or rate of depreciation in the case of a depreciating asset)
t is the time periods (months, years, etc.)
A= 1200
P= 2550
r= -0.05
We want to find t, so we can rearrange the formula to solve for t:
[tex]t=\frac{log\frac{A}{P}}{r}\\\\t=\frac{log\frac{1200}{2550} }{-0.05} \\ \\t=15.07months[/tex]
In 15.07 month motorbike value will depreciate to less than £1200
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A local store is selling a tool for 35% off its normal price. If the tool costs $45, how much would you save by buying it on sale? A. $15.75, B. 18.25, C. 12.75, D. 16.50
Find the first five multiples of the number write a multiple equation to show their multiple
The first five multiples of 5 is 5, 10, 15, 20, 15 and the multiple equation is
5×1, 5×2, 5×3, 5×4, 5×5.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Find the first five multiples of the number.
Let, The number be 5.
Therefore, The first five multiples of 5 is,
5, 10, 15, 20, 25.
And, the multiple equation is,
5×1, 5×2, 5×3, 5×4, 5×5.
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