The cost of each pencil is $2
What are algebraic expressions?Algebraic expressions are expressions comprised of variables, terms, factors, coefficients, and constants.
They are also made up of arithmetic operations such as addition, subtraction, multiplication division, etc
From the information given, we have that 'p' represents the cost of each pencil
The equation is represented as;
3p + $5 = $11
collect like terms
3p = $11 - $5
subtract like terms
3p = $6
Make 'p' the subject of formula
p = $6/3
p = $2
Thus, the cost of each pencil is $2
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A gardener can trim all the bushes on the Green's property
in 5 hours. If his assistant helps him, they can complete the job
in 4 hours. How long would it take the assistant to do the job
alone?
(In hours)
It would take the assistant 20 hours to do the job alone.
How to determine the valueFrom the information given, we have that;
The gardener trims for 5 hours aloneThe gardener and assistant trims for 4 hoursLet the gardener be x
His assistant be y
So,
y = 1/ 5
x + y = 1/ 4
Substitute the value
x = 1/ 4 - 1/ 5
Find the LCM
x = 1 / 20
Take the reciprocal
x = 20 hours
Thus, it takes the assistant 20 hours to do the job alone.
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Rewrite the following standard form linear equation into slope-intercept form. Write the answer starting with y=
12x-4y=-12
The equation of the line in the slope-intercept form is given y= 3x + 3 .
The graph of the equation y = mx + c is a line with m as the slope and m and c as the y-intercept. In the slope-intercept representation of the linear equation, the values of m and c are real numbers. A line's slope, expressed in m, indicates how steep it is. A line's gradient is also referred to as its slope occasionally. The y-coordinate of the point where the line's graph meets the y-axis is known as the y-intercept, or c, of a line.
The equation of the line is given by 12x - 4y = -12 .
This is the standard form of the line.
Now to represent the line in the slope-intercept form we need to write the equation for y in terms of x.
or, 12x-4y=-12
or, -4y = -12x - 12
or, y = (-12x - 12 ) ÷ (-4)
or, y = 3x + 3
Here the slope is 3 and the y-intercept is also 3.
Therefore the slope-intercept form of the line is given by y = 3x + 3
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25 points plus brainliest
The largest integer is 0 (first option).
What is the largest integer?Integers are whole numbers. An integer is number that is not a fraction and not a decimal. Integers can either be positive, negative or zero. An example of an integer is 100, - 100 and 0.
An even number is a number that is divisible by 2 into two equal halves. An example is 2, 4, 6, 8. Consecutive even integers are whole even numbers that follow each other on the number line. An example is 2, 4, 6, 8.
If 0 is the largest number, the other three consecutive even integers would be : 0, -2, - 4, - 6. The sum of these numbers is -12.
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73.69 in scientific notation
Answer:
see picture
Step-by-step explanation:
Please look at explaination
The distributive property also combines subtraction and multiplication for example, 3 x (5 — 2) = (3 x 5) —(3 x 2). Explain how you could use the Distributive Property and mental math to find 5 x 198.
After using distributive property we find the solution of 5 × 198 is 990.
What is Distributive property?
By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.
The expression is given as;
5 × 198
Now, By using distributive property we calculate as;
5 × 198 = 5 × ( 200 - 2 )
= (5 × 200) - (5 × 2)
= 1000 - 10
= 990
Hence, After using distributive property we find the solution of 5 × 198 is 990.
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Find the value of f(-5)
Answer:
y=3 or just put 3
Step-by-step explanation:
the points (4,1), (2.-2), and (-3,-3) are vertices of a polygon. What is the best name of the polygon?
Answer:
A Triangle
Step-by-step explanation:
Since the three points are not collinear, the vertices form a triangle.
Please answer this math equation.
The interval where the function is nonlinear and decreasing is 0 < x < 4
How to determine the interval where the function is nonlinear and decreasing?The straight lines on the graph are the intervals where the graph is linear
This means that the straight lines on the graph will not be considered
Considering the curve, the graph decrease from x = 0 to x = 4
This can be rewritten as:
0 < x < 4
Hence, the interval where the function is nonlinear and decreasing is 0 < x < 4
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(b) After his first month he had more than he expected to have due to interest the bank provided. This let
Rob come up with a better expression,
4,²
+45w+155, where w is the number of weeks. How much
25
will he have in 1 year?
Calculating the numeric value of the given function, it is found that Rob will have $2,603.16 in his account in one year.
How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
For this problem, the expression for the amount that he has into his account after w weeks is given by:
A(w) = 0.04w² + 45w + 155.
One year has 52 weeks, hence w = 52, and the amount is given finding the numeric value as follows:
A(52) = 0.04(52)² + 45(52) + 155 = $2,603.16.
Rob will have $2,603.16 in his account in one year.
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23. MATHEMATICAL CONNECTIONS Two lines are cut by
a transversal. Is it possible for all eight angles formed
to have the same measure? Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
If you use only perpendicular lines, all angles should be exactly 90 degrees
Carly is playing her violin at a music festival and earns $8 for each song she plays. Maxwell is playing at a local coffee shop and earns $10 for each song he plays, but also has to pay a $50 fee to play there.
Problem
After how many songs will they have earned the same amount of money?
A.) 25
B.) 71
C.) 33
D.) 46
Answer:a
Step-by-step explanation: 25x8=200
(10x25)-50=200
can u pls help me with my ixl
estimate the solution to the following system of equations by graphing. 3x + 5y= 14. 6x - 4y=9
the estimated solution for the equations 3 x + 5 y = 14 and 6 x - 4 y = 9 is (5/2, 4/3).
We have the equations:
3 x + 5 y = 14
6 x - 4 y = 9
The exact solution is the point (2.41, 1.36)
1.(5 / 2, 4 / 3)-----> (2.5, 1.33)--------> is the best approximation
2.(4 / 3, 5 / 2)------> (1.33, 2.5)
3.(7 / 3, 7 / 2)------> (2.33, 3.5)
4.(- 5 / 2,-7 / 5)----> (- 2.5, - 1.4)
The estimate solution is (5/2, 4/3).
Therefore, the estimated solution for the equations 3 x + 5 y = 14 and 6 x - 4 y = 9 is (5/2, 4/3).
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isiah copeland sells tennis equipment. he is guaranteed a minimum salary of $1,500 per month plus 5.75% of his total sales.
The correct answer would be "A. $2,075 = $1,500 + (.0575*s)" total sales.
What is sales?A sale is a deal in which two or more parties trade products or services for cash or other assets, usually between a buyer and a seller. It is an agreement between a buyer and seller on the price of a security and the delivery of the security to the buyer in exchange for the agreed-upon compensation constitutes a sale in the financial markets. The transaction is not regarded as a sale if the product or service in issue is given by one party to the other without receiving payment, but rather as a gift or donation.
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Given the linear functions f(x) = x-3 and g(x) = -2x + 4, determine (f g)(x).
O(f-g)(x) = -2x - 12
O(1-g)(x) = -2x² - 12
O(1-g)(x) = -2x2 - 2x - 12
O(f g)(x) = -2x2 + 10x - 12
The perimeter of a rectangular pool is more than 62 meters, and the width is at least 10 meters less than the length. Which system of inequalities represents the possible length in meters, l, and the possible width in meters, w, of the pool?
w ≤ 10 – l
2l + 2w ≥ 62
w ≤ 10 – l
2l + 2w > 62
w ≤ l – 10
2l + 2w ≥ 62
w ≤ l – 10
2l + 2w > 62
the system of inequalities that represents the possible length in meters, l, and the possible width in meters, w, of the pool is given as w ≤ l - 10 and 2 l + 2 w > 62.
Let the length of the pool be x.
So, ATQ, the width will be represented by the inequality:
x - 10 ≥ width
w ≤ x - 10
w ≤ l - 10
Also, it is given that, the perimeter of the pool is more than 62 m
So, we get that:
P > 62
Also, we know that:
P = 2 l + 2 w
So, we get that:
2 l + 2 w > 62.
Therefore, the system of inequalities that represents the possible length in meters, l, and the possible width in meters, w, of the pool is given as w ≤ l - 10 and 2 l + 2 w > 62.
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Answer:
D
Step-by-step explanation:
i’m pretty sure
is shown below. Find the value of f(-4)
======================================================
Explanation:
Start at -4 on the x axis.
Draw a vertical line until reaching the curve.
Then draw a horizontal line until reaching the y axis.
You should arrive at y = -5. This tells us f(-4) = -5
The input x = -4 leads to the output y = -5
The point (-4, -5) is on the graph. This is the highest point, so it's the vertex of the V shape.
See the diagram below.
helppppp plssssssssssssssssss
Answer:
x=3
Step-by-step explanation:
3x-7=2
+7 +7
3x=9
Divide by 3.
3x divided by 3 is x.
9 divided by 3 is 3.
x=3
Hope this helps.
Find a counterexample to show that the conjecture is false.
The sum of two numbers is always greater than their difference.
The statement is false, a counterexample is given by using the numbers 1 and -1.
How to find the counterexample?Here we have the statement:
"The sum of two numbers is always greater than their difference"
So we just need to find two numbers such that the statement is false.
This is really trivial, for example, we can propose the numbers 0 and 0.
The sum gives 0 + 0 = 0
The difference is 0 - 0 = 0
The sum is not greater than the difference.
Now, I will propose a less trivial counterexample, let's use the numbers 1 and -1.
The sum gives 1 + (-1) = 1 - 1 = 0
The difference gives: 1 - (-1) = 1 + 1 = 2
The difference is larger than the sum, so we found a counterexample for the given statement.
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-6/25: 5 2/5 what is the answer i need help!!
The expression -6/25: 5 2/5 is simplified to -30/675
What is ratio?Ratio can be defined as the comparison of two numbers or elements indicating their sizes in relation.
It is represented using the symbol ':'
Example;
The ratio of 3: 5 is written as 3/ 5
Given the expression;
-6/25: 5 2/5
Convert 5 2/5 into an improper fraction = 27/5
We have
-6/ 25 : 27/ 5
Take the ratio
- 6/ 25 ÷ 27/ 5
Take the inverse of the divisor and multiply
- 6/ 25 × 5/ 27
-30/675
Thus, the expression -6/25: 5 2/5 is simplified to -30/675
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According to the 2010 census, the population of Nebraska was 1.8 × 106 people. Which state had a smaller population?
(1 point)
California: 3.7 × 107
Rhode Island: 1.1 × 106
Texas: 2.5 × 107
Missouri: 6 × 106
Rhode Island has a smaller population.
Here,
According to the 2010 census, the population of Nebraska was 1.8 × 106 people.
We have to find the smaller population.
What is Product?
The multiply of two or more number is called Product.
Now,
The population of Nebraska was 1.8 × 106 people.
1.8 x 106 = 190.8
And,
The population of California = 3.7 x 107 = 395.9
The population of Rhode Island = 1.1 x 106 = 116.6
The population of Texas = 2.5 x 107 = 267.5
The population of Missouri = 6 x 106 = 636
Hence, Rhode Island has a smaller population.
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need help with this work it is 6th grade
Answer:
1/4
Step-by-step explanation:
You jumped rope of 1/3 of 3/4 hour.
In math, "of" usually means times.
1/3 of 3/4 hour = 1/3 × 3/4 hour = (1 × 3)/(3 × 4) hour = 3/12 hour = 1/4 hour
Answer: 1/4
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
2.3p – 10.1 = 6.4p – 4
2.3p – 10.1 = 6.49p – 4
230p – 1010 = 650p – 400 – p
23p – 101 = 65p – 40 – p
2.3p – 14.1 = 6.4p – 4
The equivalent equation for the given equation is 2.3p - 10.1 =6.49p - 4. Therefore, option B is the correct answer.
Given that, 2.3p – 10.1 = 6.5p – 4 – 0.01p.
We need to find which equations have the same solution as the given equation.
What is an equivalent equation?Equivalent equations are algebraic equations that have identical solutions or roots. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.
Now, 2.3p - 10.1 = 6.5p - 4 - 0.01p can be simplified as follows:
To add or subtract terms of algebraic equations group like terms add numerals and keep the variables the same.
That is, 2.3p - 10.1 = (6.5p - 0.01p) - 4
⇒2.3p - 10.1 =6.49p - 4
The equivalent equation for the given equation is 2.3p - 10.1 =6.49p - 4. Therefore, option B is the correct answer.
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What is an equation of the line that passes through the points (−1,−7) and (−8,0)?
The equation of the line that passes through the points is y = -x - 8
What is an equation of the line that passes through the points?The points are given as:
(−1,−7) and (−8,0)
Calculate the slope (m) using
m = (y2 - y1)/(x2 - x1)
So, we have
m = (0 + 7)/(-8 + 1)
This gives
m = -1
The equation of the line that passes through the points is then calculated as
y = m(x - x1) + y1
So, we have
y = -1(x + 8) + 0
This gives
y = -x - 8
Hence, the equation of the line that passes through the points is y = -x - 8
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how do you devide triple diget numbers?
For example:
240 ÷ 160
In a bag, there are numbered tiles 1 through 10. You will pick a tile, replace it, then pick another one. Find the following probabilities.
P (1, the 3)
P ( odd, then number less than 4 )
P ( even, then odd )
Please help, this paper is due tomorrow and I have no idea what I'm doing!
Answer:
Wait, can you explain the answer choices, I don't understand them.
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
√x² - y²
When x = 3and y = -6, the value of the expression is
Reset
-33 is the value of √x² - y² at x = 3 and y = -6.
The expression given in the question is √x² - y² and we have to find the value of this expression when the value of x is 3 and the value of y is -6.
In order to evaluate √x² - y² simply put x = 3 and y = -6 and then solve accordingly.
Let's proceed to solve the expression,
√x² - y²
at x = 3 and y = -6. we have
= √3² - (-6)²
= √9-36
= 3-36
= -33
⇒√x² - y² = -33
∴ On solving, √x² - y² for x = 3 and y = -6 we get -33 as its evaluation.
Hence, -33 is the required answer.
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The dimensions of a basketball court are shown below. Suppose a player throws the ball from a corner to a teammate standing at the center of the court. a. If center court is located at the origin, find the ordered pair that represents the location of the player in the bottom right corner b. find the distance that the ball travels
The 94 ft. by 50 ft dimensions of the court obtained from a similar question posted online, gives;
a. The ordered pair representing the location of the player in the bottom right corner is (47, -25)
b. The distance traveled by the ball obtained using Pythagorean theorem, is approximately 53.2 feet.
How can Pythagorean theorem be used to find the distance the ball travels?The possible dimensions of a rectangular court obtained from a similar question posted online are;
Length of the basketball court = 94ft.
Width of the basketball court = 50 ft.
From the question, we have;
Location of the court center = The origin of a coordinate plane
a. The ordered pair that represent the location of a player in the bottom right corner is found as follows;
Let (x, y) represent the coordinates of the bottom right corner of the court, we have;
Horizontal distance from the center of the court (the origin) to the right boundary of the court, x = (94 ft.)/2 = 47 ft.
Vertical distance from the center to bottom of the court, y = (50 ft.)/2 = 25 ft.
Following the convention of points to the right and above the origin being positive, while points below the origin are negative, we have;
The ordered pair (the coordinates of the player) that represents the location of the player in the bottom right corner is therefore;
(x, y) = (47, -25)b. The distance, d, that the ball travels is given by Pythagorean theorem as follows;
d = √((47 - 0)² + ((-25) - 0)²) = √(2834) ≈ 53.2
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Stephanie is a taxi driver. She rents her taxi for $300/week. She feels she can take in $120/day in fares. Let D be the number of days she drives her taxi in a week and T be the total earnings she expects after subtracting the rental charge.
a. Identify four ordered pairs (D,T).
b. Write an equation that gives T as a function of D.
c. What is the most she can earn in a year at this rate?
Answer: a. (0, -300), (1, -180), (2, -60), (7, 540)
b. T=120D-300
c. $28080
Step-by-step explanation:
a. T=120D-300 ==> per week
D=0: T=120(0)-300
D=0: T=-300 ==> (0, -300)
D=1: T=120(1)-300
D=1: T=120-300
D=1: T=-180 ==> (1, -180)
D=2: T=120(2)-300
D=2: T=240-300
D=2: T=-60 ==> (2, -60)
D=7: T=120(7)-300
D=7: T=840-300
D=7: T=540 ==> (7, 540)
b. T=120D-300
c. T=120(7)-300
T=840-300
T=$540 per week
1 year = 52 weeks
540*52=$28080
carlos jogged 5 3 4 laps around the school track in 8 minutes. what was his average speed in laps per minute? lap(s) per minute how to solve step by step
Average Speed is 23/32 laps per minute.
In the given statement is:
Carlos jogged 5 3/4 laps around the school track in 8 minutes.
What is Average speed?
Average Speed is calculated by dividing the total distance travelled by the time interval. For example, Someone who takes 40 minutes to drive 20 miles north and then 20 miles south (to end up at the same place), has an average speed of 40 miles divided by 40 minutes, or 1 mile per minute (60 mph)
Now, According to the Question:
5 3/4laps = 23/4 laps
23/4 ÷8
=23/4 × 1/8
=23/32
So, 23/32 laps per minute
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