Answer:
x=32, y=17
Step-by-step explanation:
Difference between two numbers is 15:
x-y=15
Greater number (x) is two less than twice the lesser number:
x=2y-2
-----
x-y=15,
x=2y-2.
x-y-x=15-2y+2
-y=15-2y+2
y=15+2
y=17
-----
x-y=15
x-17=15
x=17+15
x=32
To solve the word problem, we transcribe the information into algebraic equations. We then isolate one variable to solve for it first, and then substitute that variable's value into the second equation. The solution we find is that the two numbers are 17 and 32.
Explanation:To solve the problem, we must translate the word problem into algebraic equations. We're trying to find two numbers based on the information that's given to us: their difference is 15, and the larger number is two less than twice the smaller number.
First, let's define the numbers as follows: x = smaller number and y = larger number. Now we can set up our two equations based on the problem:
y - x = 15 (because the difference between two numbers is 15) y = 2x - 2 (because the larger number is two less than twice the smaller number)
Now we can substitute equation (2) into equation (1) which gives us: 2x -2 - x = 15. Simplify the equation, we get x = 17 and substitute x = 17 into equation (2), we get y = 32.
So, the two numbers are 17 and 32.
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A number y is no more than -8
Answer:
y≤-8
Step-by-step explanation:
This sign represent y is no more than/is less than or equal to.
I hope this helps!=)
The number y is no more than -8 written as an inequality can be written as; y ≤ 8.
According to the question;
We are required to write the word sentence, y is no more than -8.The inequality form of the sentence, mean that the number y can only assume maximum value of -8.
Therefore; y ≤ 8
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music magic offers live streaming for $9.99 a month with downloads at $0.50 a song. You have $30 a month budgeted for this service. The equation 0.5s+ 9.99=30 describes the situation. The solution to this equation is s=40.02. Explain what this means in terms of service.
Step-by-step explanation:
The equation 0.5s+ 9.99=30 describes the situation.
9.99 is the fixed amount
0.5 is the cost for each song download
30 is the maximum amount spend for a month
Here 's' represents the number of songs download
0.5s+ 9.99=30 means
0.5 times the number of songs plus the fixed cost 9.99 should be equal to 30 dollars.
The solution to this equation is s=40.02.
s= 40.02 means 40 songs can be downloaded as per the budget
Which values from the specified set make up the solution set of the inequality?
5w–10>20 ; {5,6,7,8}
Select each correct answer.
5
6
7
8
5w - 10 > 20 add 10 to both sides
5w > 30 divide both sides by 5
w > 6
Answer: 7 and 8.Answer: 7 and 8
Step-by-step explanation:
Matthew can buy an 8-ounce jar of salsa for $2.85 or a 15-ounce jar of salsa for $5.65. Which jar is the best buy and what is the unit rate?
Answer:
The $2.85 jar is the better buy.
Step-by-step explanation:
Start by finding the two separate unit rates. Then compare them:
$2.85
---------- = $0.36/oz
8 oz
$5.65.
----------- = $0.38/oz
15 oz
The $2.85 jar is the better buy, as its unit cost is lower.
Final answer:
The 8-ounce jar of salsa at $0.35625 per ounce is the better buy compared to the 15-ounce jar at $0.37667 per ounce.
Explanation:
The student wants to determine which jar of salsa provides the best value in terms of cost per ounce. To find the unit rate, we need to divide the price of each jar by the number of ounces it contains.
For the 8-ounce jar of salsa:
Unit rate = $2.85 / 8 oz = $0.35625 per ounce
For the 15-ounce jar of salsa:
Unit rate = $5.65 / 15 oz = $0.37667 per ounce
Comparing the unit rates, the 8-ounce jar of salsa has a lower unit rate, making it the better buy.
Solve for x: -3(5x -2) - x - 2 = 116
Answer:
x = -7
Step-by-step explanation:
-3 (5x - 2) - x - 2 = 116
-15x + 6 - x - 2 = 116
-16x + 4 = 116
-16x + 4 - 4 = 116 - 4
-16x = 112
-x = 7
x = -7
Please mark brainiest would help alot :3
Rewrite the expression without using a negative exponent.
Simplify your answer as much as possible.
Answer:
[tex]\frac{n^4}{4}[/tex]
or
[tex]\frac{1}{4} n^4[/tex]
Step-by-step explanation:
The given expression is
[tex]\frac{1}{4n^{-4}}[/tex]
This is an exponential expression with a negative index in the denominator.
We can rewrite the expression so that it will be,
[tex]=\frac{1}{4}\times \frac{1}{n^{-4}}[/tex]
We now apply this property of indices. A negative index in the denominator becomes a positive index in the numerator.
[tex]\frac{1}{a^{-m}} =a^{m}[/tex]
When we apply this we get,
[tex]=\frac{1}{4}\times n^{4}[/tex]
We then simplify to obtain,
[tex]=\frac{1}{4}n^{4}[/tex]
Final answer:
To rewrite an expression without a negative exponent, take the reciprocal of the base with the positive exponent. Division of exponentials requires dividing coefficients and subtracting exponents of the same base. Eliminate negative exponents and simplify the expression to get the final result.
Explanation:
To rewrite an expression without a negative exponent, you simply take the reciprocal of the base and use the positive exponent. For example, seeking to rewrite x-n, you would transform it into 1/xn, moving the base x to the denominator and making the exponent positive.
Division of exponentials involves simplifying expressions by dividing the coefficients and subtracting exponents when the bases are the same. For instance, for expressions like am / an, the result would be am-n. In case there are numerical coefficients in front, divide those numbers directly. After simplifying, always check whether the answer makes sense and is in the simplest form.
Working with negative exponents, it's crucial to eliminate terms that result in a more straightforward expression and confirm that no negative exponents remain in the final answer, ensuring it is in its acceptable form.
Please help quick!!!
Which table shows a proportional relationship between x and y?
x 1 3 4 5
y 50 150 200 250
x 1 2 3 6
y 1.5 3 6 9
x 3 5 7 8
y 1.5 2.5 3 4.5
x 2 4 5 6
y 6 12 18 21
Answer:
the most accurate answer would be option 3 relatively speaking
Step-by-step explanation:
x+y=15
4x+4y=10
what is the answer to this using either substitution or elimination?
The system of equations x+y=154 and x+4y=10, can be solved by substitution method giving the solution x = 202 and y = -48.
Explanation:This question is similar to other problems in algebra where you are given a system of equations. In this case, you have the equations x+y=154 and x+4y=10. We will solve this problem using substitution.
First, let's isolate x in the first equation: x = 154 - y.
Next, we will substitute (154-y) for x in the second equation: (154 - y) + 4y = 10. Simplifying this equation, we get 3y = -144, so y = -48.
Substitute back y = -48 into the first equation, we have x + (-48) = 154, which means x = 202.
So, the solution of the system is: x = 202, y = -48.
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Can you please solve this question with procedure, please????
. h (x) = 6x^2+ 3x + 1
Answer:
Step-by-step explanation:
H
[tex]6x^2+3x+1=0\\a=6,b=3,c=1\\(-b+-\sqrt{b^2-4ac} )/2a\\\\\frac{-3+-\sqrt{-15} }{12} \\\\[/tex]
The roots are:
[tex]\frac{-3+-i\sqrt{15} }{12}[/tex]
Find the measures of the angles of a right triangle where one of the two acute angles measures 5 times the other
Answer:
Since it is a right angle, you know that the angle measures 90 degrees. Since one acute angle measures 5x (times) the other, you would set it up in equation format as 5x + x = 90.
5x + x = 6x, so
6x = 90
you divide both both sides by 6 (90/6) = 15
To find the measure of the angle that is 5x (times) the other, you do 5(15) = 75 degrees and the other angle is 15 degrees, which adds up to 90 degrees.
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Rory measures the thickness of each of three different wires.
7.2 mm
2.14 mm
5.875 mm
What is the thickness of all three wires combined?
Enter your answer in the box.
mm
Answer:
15.215 mm
Step-by-step explanation:
7.2+ 2.14 +5.875= 15.215
Answer:
hello your answer would be 15.215 mm
Step-by-step explanation:
1.32:3 1/7 =(1.4y): 5/6
Answer:
y=0.25 please mark brainliest i worked very hard to figure this out.
Step-by-step explanation:
3 1/7=22/7
22/7/6/5=132/35
1.32=132/100
132/100/132/35=1.4y=35/100
35/100*14/10=0.25
hence, y=0.25
name the segment that is parallel to the given segment
Answer:
YZ
Step-by-step explanation:
Parallel lines never touch. Line yz would never touch line fg.
FG is parallel to ZY
What are parallel lines?Parallel lines are two or more straight lines in a plane that never intersect. They have the same slope and will continue indefinitely without ever crossing each other. In geometry, parallel lines are denoted by double vertical bars (||).
From the figure
Since FG bisects lines XZ and XY of the triangle XYZ
FGEZ forms a parallelogram
In a parallelogram opposite sides are equal and parallel
Therefore,
FG is parallel to ZE or ZY
Properties of parallelograms include opposite sides being equal and parallel, opposite angles being equal, consecutive angles being supplementary, and diagonals bisecting each other.
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A Car Travels m miles in t hours express its average speed algebraically
Answer:
speed = [tex]\frac{m}{t}[/tex]
Step-by-step explanation:
using the formula that relates distance/ speed/ time
distance = speed × time
hence speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{m}{t}[/tex]
Final answer:
The average speed is calculated by dividing the total distance traveled by the total time taken. In algebraic form for a car traveling m miles in t hours, the average speed is V_avg = m / t.
Explanation:
To express the average speed algebraically, we can use the formula for average speed which is the distance traveled divided by the time of travel. In algebraic terms, if a car travels m miles in t hours, the average speed would be represented as:
Vavg = m / t
Here, Vavg represents the average speed, m is the total distance in miles, and t is the time taken in hours. To demonstrate this with an example, if a car travels 150 kilometers in 3.2 hours, its average speed is calculated by dividing 150 km by 3.2 h, which gives an average speed of 47 km/h.
PLEASE ANSWER Which function has the greatest rate of change? A. 6x – 7y = 21 B. y = 2x – 2 C. x y 2 7 3 13 4 19 D. A linear function that goes through point 1, 2 and point 0, negative 1
Answer:
C it has the largest rate of change
Step-by-step explanation:
To find the greatest rate of change, we need the largest slope
In equation form y =mx +b where y is the slope
A. 6x – 7y = 21
Solve for y
Subtract 6x from each side
-7y = -6x+21
Divide by -7
y = 6/7x + 21/7
The slope is 6/7
B. y = 2x – 2
The slope is 2
C. x 2 3 4
y 7 13 19
slope = (y2-y1)/(x2-x1)
= (19-7)/(4-2)
= 12/2
=6
D. A linear function that goes through point 1, 2 and point 0, negative 1
(1,2) (0,-1)
slope = (y2-y1)/(x2-x1)
= (-1-2)/(0-1)
= -3/-1
=3
If the function f(x)=mx+b has an inverse function, which statement must be true
Answer:
The first option .
Step-by-step explanation:
m must not be zero
Answer:
a) m ≠ 0
Step-by-step explanation:
Given: The function y = mx + b has an inverse function.
The given function is the equation of a line in slope-intercept form.
m is the slope and y-intercept is b.
Given that the function has an inverse function, therefore, the slope must not be equal to zero.
What if the slope is zero, if the slope is zero, then there will not be an inverse function.
Therefore, the answer is m≠ 0.
Jackson is buying a good chain that had an original price of $795 but is advertised as 65% off. Sales tax of 8.50% is applied tot he discounted price. How much will Jackson pay for the chain ?
To find out how much Jackson will pay for the gold chain, you calculate the discount price by subtracting 65% of the original price from the original price, then apply an 8.50% sales tax to the discounted price, and add it to the discounted price to get the total cost. Jackson will pay a total of $301.90 for the gold chain.
Jackson is planning to buy a gold chain with an original price of $795 which is advertised at a 65% discount. The formula to calculate the discount price is:
Discount Price = Original Price - (Discount percentage x Original Price)First, we convert 65% to a decimal, which is 0.65:
Discount Price = $795 - ($795 x 0.65)Then, calculate the discount:
Discount Price = $795 - ($516.75)So after the discount, the price becomes:
Discount Price = $278.25On this discounted price, a sales tax of 8.50% is applied. Converting that to decimal will be 0.085 and now we multiply it with the discounted price:
Sales Tax Amount = 0.085 x $278.25Now, find the amount of sales tax:
Sales Tax Amount = $23.65125Round the sales tax to the nearest cent:
Sales Tax Amount = $23.65Finally, add the original discount price and the sales tax:
Total Price = Discount Price + Sales Tax AmountTotal Price:
Total Price = $278.25 + $23.65 = $301.90Jackson will pay $301.90 in total for the gold chain after applying the discount and sales tax.
PLEASE HELP QUICKLY! thank you!!
Answer:
-5.25, -3.5, -1.75, 0, 1.75
Step-by-step explanation:
A survey asked a group of students to choose their favorite type of refreshment from the choices of ice cream, soda, and popsicles. The results of the survey are shown in the graph.
Based on the graph, how many more students in a class of 210 students would be expected to choose ice cream than popsicles?
A) 80
B) 120
C) 160
D) 180
Answer:
it is not a my dude it is c
Step-by-step explanation:
I don’t understand this somebody explain to me how to do it and the answer I really appreciated
Answer:
11
Step-by-step explanation:
3/2 y - 3 + 5/3 z
We know the values for y (y=6) and z( z=3), so we can substitute them into the expression
3/2 * (6) - 3 + 5/3 * (3)
Multiply the terms
18/2 - 3 + 15/3
Simplify the fractions
9 - 3 + 5
Simplfiy
6 + 5
11
Find the larger of two consecutive integers if the larger is 149 less than twice the smaller.
Answer:
151
Step-by-step explanation:
Let x = the smaller integer and y = the larger integer.
We have two conditions:
(1) x + 1 = y
(2) y = 2x - 149 Substitute (1) into (2)
x + 1 = 2x - 149 Add 150 to each side
x + 150 = 2x Subtract x from each side
x = 150 Substitute into (1)
150 +1 = y
y = 151
The larger integer is 151.
Check:
(1) 150 + 1 = 151
151 = 151
(2) 151 = 2×150 -149
151 = 300 -149
151 = 151
Final answer:
The larger of the two consecutive integers is 151, determined by setting up an algebraic equation based on the given condition and solving for the smaller integer first.
Explanation:
The student is asked to find the larger of two consecutive integers given that the larger is 149 less than twice the smaller. Let's denote the smaller integer as n. Thus, the larger integer would be n + 1. According to the problem, we have the equation (2n) - 149 = n + 1, which simplifies to n = 150, making the larger integer 151.
Sean can spend at most $15.00 on snacks. He has ailready spent s5.00. which inequality could be solved to determine how much money Sean has left to spend on snacks?
Answer:
https://cougar.collegiate-va.org/cfoster/Mrs._Fosters_Classes/Algebra_1_files/0437_001.pdf
Step-by-step explanation: go to the 3rd page of link
The equation 0.3x = 7 was translated from the problem "_____."
0.3 is what percent of 7?
30% of what number is 7?
What number is 30% of 7?
7 is what percent of 0.03?
Answer:
B) 30% of what number is 7.
Step-by-step explanation:
The given equation is 0.3x = 7
Here "x" is a variable.
0.3x = 7 means 0.3 times of x equals 7.
The variable x is assigned for an unknown number and 0.3 = [tex]\frac{30}{100}[/tex] = 30 %
0.3x = 7
30% of x is 7
Which means 30% of the number(x) is 7.
Therefore, the answer B) 30% of what number is 7.
Note: Variables always assigned to find the unknown numbers.
It takes you 5 hours to complete a 375 kilometer trip. What was your average speed on this trip? Henry takes a boat ride for 15 minutes to reach his destination. If the boat was traveling at 6 meters/second, how far did the boat travel? A storm is moving east towards your house at an average speed of 35 km/hr. If the storm is currently 80 kilometers from your house, in how much time do you expect it to arrive? If the velocity of an object changes from 15 m/s to 50 m/s during a time interval of 4 s, what is the acceleration of the object? If the acceleration in problem 4 is constant, what's the average velocity of the object in the previous problem? Using the information provided and calculation in problems 4 and 5, find the distance traveled within that 4 s period. A truck decelerates at a rate of 2 m/s2. If it starts with a velocity of 15 m/s, how long will it take to stop? An object with a starting velocity of 15 m/s accelerates at 3 m/s2. How far does the object travel within 10 seconds?
Answer:
1. 75 kilometers per hour
2. 5.4 kilometers
3. I expect the storm to arrive 2.3 hours.
4. Acceleration = 8.75 [tex]m/s^{2}[/tex]
5. 200 meters
6. The truck will take 7.5 seconds to stop
7. The object travels 150 meters within 10 seconds
Step-by-step explanation:
1. Average speed = [tex]\frac{distance}{time}[/tex]
[tex]= \frac{375}{5}[/tex]
= 75 kilometers per hour
2. Distance = speed × time
Time taken = 15 minutes
= 15 × 60
= 900 seconds
Distance = 6 × 900
= 5400 meters
= 5400/1000
= 5.4 kilometers
So, the boat traveled 5.4 kilometers.
3. Time = [tex]\frac{distance}{speed}[/tex]
= [tex]\frac{80}{35}[/tex]
= 2.286
So, I expect the storm to arrive in 2.3 hours.
4. Acceleration = Rate of change of velocity
= [tex]\frac{50-15}{4}[/tex]
= [tex]\frac{35}{4}[/tex]
= 8.75 [tex]m/s^{2}[/tex]
5. Distance = speed × time
= 50 × 4
= 200 meters
6. Time = [tex]\frac{velocity}{acceleration}[/tex]
= [tex]\frac{15}{2}[/tex]
= 7.5 seconds
The truck will take 7.5 seconds to stop
7. Distance = Velocity × Time
= 15 × 10
= 150 meters
Hence, the object travels 150 meters within 10 seconds.
Answer:
Number 6&8 are wrong
Number 6. is 130 m
Number 8. is 300 meters in 10 seconds
Step-by-step explanation:
HELP
GIven:
QRS is an isosceles triangle
If M is midpoint of RQ, then triangle SMQ is congruent to triangle SRM
True or false
Answer:
true
Step-by-step explanation:
When simplifying the quadratic formula to solve the equation x^2+6x-55=0, the number under the radical sign will be:
A)-184
B)232
C)256
x^2+6x-55=0
6²-4·6·(-55)=36+220=256
C)256
Answer:
C) 256
Step-by-step explanation:
the quadratic formula: x = (-b +- sqrt (b^2 - 4ac)) / 2a
a is the coficient of x^2: a=1
b is the coeficient of x: b = 6
c is the independent term: c= -55
introducing this values to the quadratic formula we have :
x= ( -6 +- sqrt (6^2 - 4(1)(-55)) ) /2(1)
in the radical sign we have:
6^2 - 4(1)(-55)
=36 + 220
=256
A triangle measures 85 degrees, 128 degrees, and x. Solve for x.
Answer:
A triangle can have at most angles totalling 180 degrees.
Two angles 85 + 128 total 213 degrees so the triangle cannot exist.
Step-by-step explanation:
Answer:
no solution
Step-by-step explanation:
The sum of the three angles in a triangle adds up to 180 degrees. We know two of the angles, 85 and 128. We are looking for the third, x.
x + 85+128 = 180
Add the like terms
x +213 = 180
This is an impossible problem
x would have to be negative
How do you graph y=1/2x
Answer:
you go to zero on the origin and you rise once and run twice.
Step-by-step explanation:
so start at the origin and go up one and over to the right twice because it is positive and you go to the left if the slope is a negative.
Find the percent of decrease. Round your answer to the nearest tenth of a percent where necessary.
5. 57 to 19
A. 38%
B. 66.7%
C. 200%
D. 20%
Find the percent of markup. Round to nearest whole percent.
6. Store’s Cost:$136.50
Selling price:$184.70
A. 48%
B. 26%
C. 14%
D. 35%
Answer:
Number 5: Answer B
Number 6: Answer B
Step-by-step explanation:
5) The percent of decrease from 57 to 19 is:B. 66.7%
6) The percent of markup is: D. 35%
How to find the percentage?6) To find the percent of decrease from 57 to 19, we can use the formula:
percent decrease = (original value - new value) / original value x 100%
Substituting the given values, we get:
percent decrease = (57 - 19) / 57 x 100%
percent decrease = 38 / 57 x 100%
percent decrease = 0.6667 x 100%
percent decrease = 66.7%
Therefore, the percent of decrease from 57 to 19 is 66.7%. The answer is option B.
6) To find the percent of markup, we can use the formula:
percent markup = (selling price - cost) / cost x 100%
Substituting the given values, we get:
percent markup = (184.70 - 136.50) / 136.50 x 100%
percent markup = 48.20 / 136.50 x 100%
percent markup = 0.353 x 100%
percent markup = 35.3%
Therefore, the percent of markup is 35%. The answer is option D.
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What is the length of x
Answer:
10 is your answer
Step-by-step explanation:
Note that the side given to us has a measurement of 5 for one of the legs of the isosceles.
This means that the 1 side on the 30-60-90 triangle has a measurement of 5.
Now, note the measurements of the triangle sides for a 30-60-90 triangle. They measure at: 1 , √3 , 2.
the side 1 is given to us, at 5. You are solving for the hypothenuse (2). Multiply 2 to the side 1
5 * 2 = 10
10 is your answer
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