A linear equation of one variable is expressed in the form of ax + b = 0, where a and b are the two integers, and x is a variable.
In the given question, the linear equation can be represented as:
2x + 10 + x = 73.
The number of dogs is 21, and the number of cats available is 52.
Given that:
Total number of dogs and cats = 73
Let the number of dogs be x.
The number of cats, as given is = 10 + 2x
Now, solving for the equation:
x + 10 + 2x = 73
Solving for the variables:
3x + 10 = 73
3x = 73 -10
3x = 63
x = [tex]\dfrac {63}{3}[/tex]
x = 21
The number of dogs available is 21.
The number of cats available is:
2x + 10
Putting the value of x:
2 (21) + 10
52
Thus, the number of dogs is 21, and the number of cats available is 52.
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Can someone please help me
determine which fraction goes in the middle to make the comparison true. 5/8< ? < 8/10. so the answer to pick from are 1/2,1/3,7/10,1/4
The fraction that goes in the middle to make the comparison true is 7/10.
5/8 < 7/10 < 8/10
Option C is the correct answer.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
5/8 < x < 8/10
The value for x is greater than 5/8 but less than 8/10.
1/2 is less than 5/8.
1/3 is less than 5/8.
7/10 is greater than 5/8 and less than 8/10.
1/4 is less than 5/8.
Thus,
5/8 < 7/10 < 8/10
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bottle of a chemical solution that contains 75% alcohol. The bottle contains 500 milliliters of solution. How many milliliters of alcohol are in the solution?
Answer:
500 x 0.7 = 350 I hope it helps
Step-by-step explanation:
What is the area of the object Below?
A.
158 sq cm
B.
102 sq cm
C.
94 sq cm
D.
142 sq cm
Can someone plz give the answers to 13&14 people said that couldn’t see it so I put this one up :)
Name a geometric technique that can give an illusion of depth to a two-dimensional figure.
a.
Fibonacci sequence
c.
Golden mean
b.
one-point perspective
hali invested money into an account that is guaranteed to grow$28 each year. she graphs a line that represents the growth of the account. with x representing the number of years since she first opened the account and y representing the number of dollars in it. what is the slope of the line?
Alexandra spent her birthday on a video game that cost $24, a controller for $13, and a memory card for $16. there total tax was $3. what is a subtraction equation for finding how much she gave alexandraif she received $4 in change
PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS
The surface area of a square pyramid is 136 square inches. The base length is 4 inches. What is the slant height?
What happens if the correlation coefficient equals 0?
The cost of a gallon of gas recently doubled. By what percent did it increase? A) 50% B) 100% C) 150% D) 200%
Answer:
it is 100%
Step-by-step explanation:
i did it on usa test prep
Find 22,23,24,25 and I’ll give you 25 points
which is most likely the equation of the line shown on the graph?
Answer:
The equation of line is y=x+3.
Step-by-step explanation:
Consider the provided graph.
The slope intercept form of a line is:
y=mx+c
Where m is the slope and c is the y intercept.
y-intercept is a point where the value of x is 0.
From the provided graph we can identify the y intercept of the line is 3. Because at (0,3) the value of x is 0.
Now find the slope of line as shown
[tex]m = \frac{Rise}{Run}[/tex]
Here for 1 unit of run the graph rise 1 unit, thus the slope of the line is:
[tex]m = \frac{1}{1}=1[/tex]
Now substitute the value of m and c in the slope intercept form.
y=x+3
Hence, the equation of line is y=x+3.
create a sketch of the graph of a function whose gradient is linear and that gradient has an x-intercept at x=4
determine the measure of angle bpc in the figure
The table on the right shows last initials of basketball players and the number of games played by each. Find the z-score for player Upper G's games played.
Player Games Played
A 75
B 81
C 72
D 79
E 76
F 80
G 75
H 79
J 73
K 79
At a table tennis tournament, two games went on for a total of 32 minutes. One game took 12 mintues longer than the other. How long did it take to complete each game?
The total time for two game is 32 minutes. The time for each game can be determine using system equation.
The time for game is 10 minute and 22 minute respectively.
Given:
Total time to complete two game is 32 minutes.
Let [tex]x[/tex] is the time took to complete one game.
Write the system equation for the given condition.
[tex]\begin{aligned}\\ x+x+12=32\\2x=32-12\\x=10 \:\rm min\\\end{aligned}[/tex]
As per the question, one game took 12 minutes longer than other. So the time for second game is,
[tex]x+12=10+12=22 \:\rm minutes[/tex]
Thus, the time took to complete game is [tex]10\:\rm minutes[/tex] and [tex]22\:\rm minutes[/tex] respectively.
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The length of the bed is 9 feet and 6 inches. The sheet is made for a bed that is 79 inches. How short is the sheet?
Answer:
its 2 feet and 11 inches
Step-by-step explanation:
Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1, 4), R(-2, -4) and S(2, -4) under the translation (x,y)---> (x-5,y+3) ("that is an arrow btw not a less than sign or equal to sign").
a.
P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)
b.
P’(6, 7), Q’(4, 7) , R’(3, -1) and S’(7, -1)
c.
P’(-4, 1), Q’(-6, 1) , R’(-7, -7) and S’(-3, -7)
d.
P’(6, 1), Q’(4, 1) , R’(3, -7) and S’(7, -7)
Answer:
a. P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)
Step-by-step explanation:
Jane drew a point that was 1 unit to the right of the y-axis and 7 units above the x-axis.what is the ordered pair for this location
Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter. meters
Use formula for the length of the arc:
[tex] \text{Arc Length} = (\theta\cdot \dfrac{\pi}{180^{\circ}}) \cdot r [/tex], where [tex] \theta [/tex] is central angle.
Substitute [tex] \theta [/tex] and r=3 into formula:
[tex] \text{Arc Length} = (\theta\cdot \dfrac{\pi}{180^{\circ}}) \cdot r=(70^{\circ}\cdot \dfrac{\pi}{180^{\circ}})\cdot 3=\dfrac{7}{6}\pi [/tex].
Answer: [tex] \text{Arc Length} =\dfrac{7}{6}\pi [/tex].
Answer:
its 3.7
Step-by-step explanation:
Drag each tile to the table to multiply (6x-y)(2x-y+2)
The product of (6x - y)(2x - y + 2) is 12x² + y² -8xy + 12x -2y
The required table to multiply (6x - y)(2x - y + 2) is shown below.
What is expression?"It is a mathematical statement that consists of constants, variables and some mathematical operations."
For given question,
We have been given an expression (6x - y)(2x - y + 2)
The product of above expression is,
(6x - y)(2x - y + 2)
= 6x(2x - y + 2) - y(2x - y + 2)
= 12x² - 6xy +12x - 2xy + y² - 2y
= 12x² + y² -8xy + 12x -2y
The required table to multiply (6x - y)(2x - y + 2) is shown below.
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ASAP
Kim and Leon together have $111. if kim has $17 more than Leon, how much does each person have?
Leon has $47 and Kim has $64. We solved the problem by setting up an equation with the given information and solving for each person's amount.
The question presents a typical algebraic problem. Let's denote Leon's amount of money as L and Kim's amount as K. According to the problem, Kim has $17 more than Leon, so we can write this as K = L + $17.
Since the total amount of money they have together is $111, we can formulate the following equation: L + K = $111. By substituting the first equation into the second, we get L + (L + $17) = $111.
Simplifying by combining like terms, we get 2L + $17 = $111. To find the value of L, we subtract $17 from both sides, resulting in 2L = $94. Dividing by 2 gives us L = $47.
Since K = L + $17, we substitute the value of Leon's money to find Kim's: K = $47 + $17 = $64. So Leon has $47 and Kim has $64.
I need help please help please please please
which equation below will produce a decay curve
y=2(4)^x
y=3^x-4
y=6(1/3)^x
y=1/2(3)^x
answer : y=6(1/3)^x, option C
Decay curve means when x value increases the y value will decrease.
We plug in 3 values for x and check the y value
Lets start with first option
[tex] y=2(4)^x [/tex]
x=0 , y= 2
x=1, y= 8
x=2, y=32
when x value increases the y value also increases. so option A is not a decay curve
[tex] y=3^x -4 [/tex]
x=0 , y= -4
x=1 , y= -1
x=2 , y = 5
when x value increases the y value also increases. so option B is not a decay curve.
[tex] y= 6(\frac{1}{3})^x [/tex]
x=0, y = 6
x=1, y = 2
x=2 , y= 0.67
when x value increases the y value decreases. so option C is a decay curve
The equation that will produce a decay curve is y = 6(1/3)^x.
Explanation:The equation that will produce a decay curve is y = 6(1/3)x.
A decay curve is characterized by exponential decay, where the base of the exponent is less than 1. In this equation, the base is 1/3, which is less than 1. As x increases, the value of (1/3)x decreases, resulting in a decay curve.
For example, if we substitute x = 0 into the equation, we have y = 6(1/3)0 = 6(1) = 6. As x increases, the value of y decreases exponentially.
A cell phone provider offers a plan that costs $40 per month plus $0.10 per text message sent or received. A comparable plan costs $70 per month but offers unlimited text messaging. How many text messages would have to be sent or received in order for the plans to cost the same each month?
A number is between -5 and -14. What is the least possible integer value of the number?
The table of values represents a quadratic function.
What is the average rate of change for f(x) from x = 0 to x = 10 ?
x f(x)
−10 184
−5 39
0 −6
5 49
10 204
The average rate of change for any function f(x) is the ratio of change in its y-values to change in its x-values for any two particular points on the curve of the function f(x). Mathematically, we can write it as follows :-
Average rate of change = [tex] \frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} [/tex]
It says to find the average rate of change from x = 0 to x = 10.
From the given table, x = 0 corresponds to y = f(0) = -6 and x = 10 corresponds to y = f(10) = 204.
So we have two points A(0, -6) and B(10, 204).
Using the above formula, we can find average rate of change from A to B.
Average rate of change from (0, -6) to (10, 204) = [tex] \frac{204-(-6)}{10-0} =\frac{204+6}{10} = \frac{210}{10} =21 [/tex]
Hence, the final answer is 21.
Give the required elements of the hyperbolas below.
1. x^2/9 - y^2/16 =1
a. 3
b. 4
c. 9
d. 16
2. 4x^2 - y^2 = 16
a. 1
b. 2
c. 4
d. 16
3. 2y^2 - 3x^2 =6
a. √ ̅2
b. √ ̅3
c. 2
d. 3
Final answer:
The hyperbolas' equations are analyzed to find the values of a² and b². For the first equation, a² is 9 and b² is 16; for the second, a² is 4 and b² is 16; and for the third, a² is 3 and b² is 2.
Explanation:
To identify the required elements for each of the hyperbolas, we need to look at the equations of the hyperbolas and determine the values of a and b, which are the square roots of the denominators of the x-squared and y-squared terms when they are in the standard form for a hyperbola, x²/a² - y²/b² = 1 for horizontal hyperbolas, and y²/a² - x²/b² = 1 for vertical hyperbolas.
1. For the hyperbola x²/9 - y²/16 = 1, the required elements are a² and b². Hence, a² = 9 and b² = 16, leading to the answers being c and d respectively.
2. The hyperbola 4x² - y² = 16 can be rearranged to x²/4 - y²/16 = 1. Here, a² = 4 and b² = 16, making the answers c and d respectively.
3. For hyperbola 2y² - 3x² = 6, it rearranges to y²/3 - x²/2 = 1. In this case, a² = 3 and b² = 2, so the answers are d and a respectively, since we are looking for a and b, not a² and b².
A rectangular quilt is 5 feet wide and 7 feet long. How many feet of lace are needed to cover the edges of the quit?