jeremy mowed several lawns to earn money for camp. after he paid $17 for gas, he had $75 leftover to pay towards camp. write and solve and solve an equation to find how much money jeremy earned mowing lawns.
To find the total amount Jeremy earned from mowing lawns, we set up the equation x - $17 = $75 where x is the total earnings. Solving the equation, we find that Jeremy earned a total of $92.
The amount of money Jeremy earned mowing lawns can be found by setting up a simple algebraic equation. We know that after paying $17 for gas, he had $75 leftover for camp. Therefore, we can write the equation as:
Total Earnings - Gas Cost = Money for Camp
Let x represent the total amount Jeremy earned. The equation will then be:
x - 17 = 75
Now, we solve for x:
x = 75 + 17
x = 92
Jeremy earned a total of $92 from mowing lawns.
Which line is a line of symmetry for this regular polygon?
A. Line g
B.line h
C.line i
What is 60% of 33...................................................?
To find 60% of 33, first write 60% as a decimal by moving the decimal point two places to the left to get .60.
Next, the word "of" means multiply, so we are are going to multiply.
(.60) (33) = 19.8
Therefore, 60% of 33 is 19.8.
The table shows the steps for solving the given inequality for x. 7x+16<−5(4−5x)7x+16<−5(4−5x) Select the reason for each step from the drop-down menu(s). 7x+16<−5(4−5x)7x+16<−5(4−5x) Given 7x+16<−20+25x7x+16<−20+25x Distributive Property 16<−20+18x16<−20+18x 36<18x36<18x 2
Convert 3/20 to a percent
To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to convert [tex]\frac{3}{20}[/tex] to a percent, we need to find a fraction equivalent to [tex]\frac{3}{20}[/tex] that has a 100 in the denominator. We can do this by setting up a proportion.
[tex]\frac{3}{20}[/tex] = [tex]\frac{n}{100}[/tex]
Now, we can use cross products to find the missing value.
3 × 100 = 300
20 × n = 20n
300 = 20n ← Divide both sides by 20.
15 = n
Therefore, [tex]\frac{3}{20}[/tex] as a percent would be 15%.
Kevin sold 2 unicycles and 1 bicycle for a total of $110. Greg sold 4 unicycles and 3 bicycles for a total cost of $268. What is the cost of 1 bicycle?
Answer
$27
$31
$48
$79
Kevin sold 2 unicycles and 1 bicycle for a total of $110. Greg sold 4 unicycles and 3 bicycles for a total cost of $268. What is the cost of 1 bicycle?
Answer
$27
$31
$48
$79
The cost of 1 bicycle is $48 by using the system of equations.
What are word problems?Word problems are a mathematical interpretation by using variables, numbers, and arithmetic operations to solve real-life problems.
From the given information:
kevin: 2U + 3B = 110 --- (1)Greg: 4U + 3B =268 ---- (2)We have a system of equations, and we can solve for the cost of1 bicycle
Using the Elimination method:
4U + 3B = 268
-2U + 3B = 110
2U + 0 = 158
U = 158/2
U = 79
The cost of 1 bicycle = 4(U) - 268
= 4(79) - 268
= 316 - 268
= $48
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Answer:
$48
Step-by-step explanation:
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a line segment can grow from which of the following ?
a. zero dimensional objects
b.one dimensional objects
c three dimensional objects ?
...?
In mathematics, a line segment can grow from a) zero-dimensional points or b) one-dimensional line segments but cannot grow from a three-dimensional object due to differences in properties such as volume.
Explanation:In the field of mathematics, a line segment can grow from a zero-dimensional point and a one-dimensional line segment. The process of a line segment growing from a point involves extending out in a certain direction from the zero-dimensional point. When we say a line segment can grow from a one-dimensional object, it means an existing line segment can be extended to become a longer line segment.
A line segment cannot 'grow' from a three-dimensional object because a line segment is a one-dimensional entity, and dimensional objects have 'volume,' a property which a line segment does not possess.
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the ratio of length to width in a rectangle is 3:1. If the perimeter of the rectangle is 112 feet, what is the length of the rectangle?
Length of the rectangle= 42 feet
Width of the rectangle =14 feet
What is rectangle?A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.
Given,
Ratio of length to width of rectangle = 3:1
Let width be x then length will be 3x
Perimeter of the rectangle = 112 feet
2(Length + Width) = 112
2(3x + x) = 112
2(4x) = 112
8x = 112
x = 112/8
Width x = 14 feet
length = 3x = 3×14 = 42feet
Hence, 42 feet is length and 14 feet is width of the rectangle.
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if p(x,y) is the point on the unit circle defined by real number theta, then csc theta= _____. a. x/y. b. y/x. c. 1/x. d. 1/y.
Answer:
Option d is correct
[tex]Csc \ \theta =\frac{1}{y}[/tex]
Step-by-step explanation:
Here P(x,y) is the point on unit circle ( unit circle has radius 1 and center (0,0))
Now in a diagram we can see that
OA= x
AP= y
radius OP =1
∠POA =θ
Now in ΔAOP
[tex]Csc\ \theta =\frac{hypotenuse }{opposite \ side} \\Csc\ \theta =\frac{OP}{AP}[/tex]
[tex]Csc \ \theta =\frac{1}{y}[/tex] ( since OP =1 and AP =y)
Answer:
1/y
Step-by-step explanation:
apex
What is the value of the expression when a = 6, b = 4,and c = 8?
2a/3b−c
A. 1
B. 3
C. 8
D. 12
Find the area of a rectangular garden box if the length is square root of 6ft. and the width is square root of 21 ft. Write the answer in simplest radical form.
2. There is a threshold on a person's weight that tells doctors when a person is at a greater risk of death. In men, ages 40 - 49, that threshold weight is represented by h=12.3 squared 3 square root of T, where h is height in inches and T is the threshold weight. If a doctor told a 43 year old man that his threshold weight was 218 lbs what would that man's height be (in the form of feet -inches: Ex: 5 ft 9 in)?
if f(x)={(3,5),(2,4),(1,7)} and g(x)=square root(x-3) what do i do to determine (f+g)(1) ...?
Factor the expression:
x3 - 2x2 - 9x + 18 ...?
To factor the expression x³ - 2x² - 9x + 18, use the grouping method to factor out a common binomial factor.
Explanation:To factor the expression x³ - 2x² - 9x + 18, we can first look for any common factors. Since there are no common factors among all the terms, we will use the grouping method to factor the expression.
Step 1: Group the terms in pairs.
(x³ - 2x²) - (9x - 18)
Step 2: Factor out the greatest common factor from each pair.
x²(x - 2) - 9(x - 2)
Step 3: Notice that we now have a common binomial factor of (x - 2).
(x² - 9)(x - 2)
Therefore, the factored form of the expression x³ - 2x² - 9x + 18 is (x² - 9)(x - 2).
The student is looking to factor the polynomial expression x^3 - 2x^2 - 9x + 18. This process typically involves finding whether factors like binomials divide the polynomial without a remainder, using methods like grouping, trial and error, or the Rational Root Theorem, followed by long or synthetic division.
Explanation:The student has asked to factor the expression x^3 - 2x^2 - 9x + 18.
To factor this expression, we can follow a systematic approach, which often starts with looking for common factors or applying techniques such as grouping, trial and error, or the use of the Rational Root Theorem. In this case, we may not see an immediate common factor, so we might try to group terms or apply synthetic division or the Rational Root Theorem to identify potential roots of the polynomial.
A factor of a polynomial is a binomial (or another polynomial) that divides the original polynomial without leaving a remainder. If we find such a factor, we can then divide the original polynomial by this factor to simplify the expression further. For example, if we discover that (x - 3) is a factor, then we can divide the polynomial by (x - 3) to find the other factors.
Unfortunately, without performing the actual factoring process or having additional information, we cannot factor this specific expression purely based on the question provided. If we had one root or factor given, we could use long division or synthetic division to further factor the expression, and then possibly factorize it completely into the product of binomials or another polynomial.
what is the answer of x − 62,500 = 0.25y
The measure of two sides of a triangle are 3.1 feet and 4.6 feet. What is the LEAST possible measure to the nearest tenth for the third side?
a- 1.6
b- 4.6
c- 7.5
d- 8 ...?
A triangle with a base of 1/4 meter has an area of 8 square meters. What is the height, in meters, of the triangle?
Find the simple interest to the nearest cent for each principal, interest rate, and time. $1,200, 3.9%, 8 months.
SOLVE. Show step-by-step solution. 3.2 - 4d = 2.3d + 3
The solution to the equation 3.2 - 4d = 2.3d + 3 is d = 0.0317.
The given equation is,
3.2 - 4d = 2.3d + 3
Combine like terms by adding 4d to both sides of the equation:
3.2 - 4d + 4d = 2.3d + 3 + 4d
3.2 = 6.3d + 3
Move the constant term (3) to the other side of the equation by subtracting 3 from both sides:
3.2 - 3 = 6.3d + 3 - 3
0.2 = 6.3d
Divide both sides of the equation by 6.3 to isolate the variable d:
0.2/6.3 = 6.3d/6.3
d = 0.0317
So, the solution to the equation 3.2 - 4d = 2.3d + 3 is d = 0.0317.
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The U.S. senate is composed of 2 senators from each of the 50 states. In order for a treaty to be ratified, at least two thirds of the senators present must approve the treaty. Suppose all senators are present and 48 of them have voted in favor of a treaty. What are the possible numbers of additional senators who must vote in favor of the treaty in order to radify it?
Answer: So, the possible number of additional senators who must vote in favor of the treaty in order to radify it is given by
[tex]19\leq x\leq 52[/tex]
Step-by-step explanation:
Since we have given that
Number of states = 50
Number of senators from each of the 50 states = 2
Total number of senators would be
[tex]50\times 2\\\\=100[/tex]
Since [tex]\dfrac{2}{3}[/tex] of the senators present must approve the treaty.
[tex]\dfrac{2}{3}\times 100\\\\=66.67[/tex]
Number of senators have voted in favor of a treaty = 48
So, remaining senators would be
[tex]67-48\\\\=19[/tex]
Let x be the number of senators needed.
So, Inequality would be
[tex]x\geq 19[/tex]
Now, [tex]100-48=52[/tex]
[tex]x\leq 52[/tex]
So, the possible number of additional senators who must vote in favor of the treaty in order to radify it is given by
[tex]19\leq x\leq 52[/tex]
The mean for average temperature in Buffalo ,New york , is 47.5°. The temperture fluctuates 23.5° above and below the mean temperture . If t=1 present January ,the phase shift of the sine function is 4
a) Write the funtion for the average monthly tempperature in Buffalo
b) According to your modle ,what is the average tenperature in March ?
c) According to your modle ,what is the average tenperature in August ?
Based on the figure, Jordan says that 2/3 RW=RU. Kendra disagrees. Is either of them correct? ...?
State the X- and Y- intercepts of each function.
2/3x - 1/3y = 2
Cory earns $20 for every lawn he mows and $9 for every hedge he trims. He uses the expression 20x + 9y to keep track of his earnings.
Part A: Identify the coefficients and variables in the expression.
Part B: How many terms are in the expression, what are they, and how do you know?
Part C: Which term in the expression shows the total earned from trimming hedges?
please help.
Which ordered pair could not be the coordinates for a clockwise rotation of the point W(-3, 4)?
Which equation is equivalent to –k + 0.03 + 1.01k = –2.45 – 1.81k?
The equivalent equation is: -100k + 3 + 101k = -245 - 181k
Finding the Equivalent Equation
We need to find the equation equivalent to:
-k + 0.03 + 1.01k = -2.45 - 1.81k
To eliminate decimals, we can multiply the entire equation by 100:
100*(-k + 0.03 + 1.01k) = 100*(-2.45 - 1.81k)
This simplifies to: -100k + 3 + 101k = -245 - 181k
Therefore, the equivalent equation is: -100k + 3 + 101k = -245 - 181k
Complete question:
Which equation is equivalent to –k + 0.03 + 1.01k = –2.45 – 1.81k?
–100k + 3 + 101k = –245 – 181k
–100k + 300 + 101k = –245 – 181k
–k + 3 + 101k = –245 – 181k
–k + 300 + 101k = –245 – 181k
What number between 30 and 40 has only itself as factors?
what is d/dx(1/sinx) ...?
what is the lcm of 14 and 42
the graph shows the changes in population of black bears in rural michigan during a single year. competition for food among the black bear population was most likely the greatest during the
Answer:
C)
late spring.
Step-by-step explanation:
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factorise 12y+16y
need help with maths homework