Answer:
x+y=10
+-y=2
Step-by-step explanation:
Use elimination to cancel out the y then continue to solve
A rectangular auditorium seats 1598 people. The number of seats in each row exceeds the number of rows by 13. Find the number of seats in each row.
Please help!! State which property of equality justifies the statement:
If 7x=28, then x=4.
The property of equality justifies the given statement is Transitive property of equality.
Given,
The statement:
If, 7x = 28,
then, x = 4
We have to find the property of equality that justifies this statement:
The transitive property of equality formula is given as follows:
If y = z and x = y, x must be z. Where items belong to the same category as x, y, and z. For instance, if a line segment's measurement is represented by "x," then its measurement should also be represented by "y" and "z."
The property of equality that justifies this statement If, 7x = 28,
then, x = 4 is transitive property of equality.
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If A:B = 7:8 an B:C =12:7,find A:C in its simplest form.
Answer:
84:56
Step-by-step explanation:
a:b:c
(7:8)
( 12:7)
Answer:
A:C = 3:2
Step-by-step explanation:
A:B = 7:8 is a proportion relationship and can be represented using fractions:
[tex]\displaystyle{\frac{A}{B} = \frac{7}{8}}[/tex]
Similarly the proportion relation B:C = 12:7 can be represented as:
[tex]\displaystyle{\frac{B}{C} = \frac{12}{7}}[/tex]
Multiply the first equation by the second
[tex]\displaystyle\frac{A}{B}\;\mathsf{x}\;\frac{B}{C} = \frac{7}{8}\;\mathsf{x}\;\frac{12}{7}[/tex]
This evaluates to
[tex]\displaystyle\frac{A}{C} = \frac{12}{8}[/tex]
Simplifying gives us
[tex]\displaystyle\frac{A}{C} = \frac{3}{2}[/tex]
So A:C = 3: 2
PLEASE HELP ASAP!!!!!!!!!!!!!!!!
Initially, there were only 3 weeds at a park. The weeds grew at a rate of 5% each week. The following function represents the weekly weed growth: f(x) = 3(1.05)x. Rewrite the function to show how quickly the weeds grow each day and calculate this rate as a percentage.
f(x) = 3(1.007)7x; spreads at a rate of approximately 0.7% daily
f(x) = 3(1.05)7x; spreads at a rate of approximately 0.5% daily
f(x) = 3(0.15)x; spreads at a rate of approximately 0.15% daily
f(x) = 3(1.007)x; spreads at a rate of approximately 0.07% daily
Based on the calculation below, the rate at which the weeds grow each day is 0.7%.
How do we calculate the daily percentage growth rate?Given:
f(x) = 3(1.05)x = 3(1 + 0.05)x ................... (1)
Since there are 7 days in a week, the rate at which the weeds grow each day can be calculated from equation (1) by dividing 0.05 (i.e. 5% weekly growth rate) as follows:
f(x) = 3(1 + (0.05 / 7))x
f(x) = 3(1 + 0.007)x
f(x) = 3(1.007)x
Since 0.007 is the same as 0.7%, this implies that the rate at which the weeds grow each day is 0.7%.
The correct option is "f(x) = 3(1.007)7x; spreads at a rate of approximately 0.7% daily".
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Answer: Option 1
Step-by-step explanation: Correct for my test.
For the piecewise-defined function f(x) =
7, x>3
5x-3, XS3
find two x-values that have the same y-value and the sum of the x-values is 10.
.
The two such x-values are 2 and 8.
The piecewise-defined function is :When x is greater than 3, f(x) equals 7.When x is less than or equal to 3, f(x) equals 5x-3.We need to get the same y-values.So, we will equate the two parts of the above piecewise-defined function.7 = 5x-35x = 10x = 2One of the x-values is 2.We are told that the sum of the x-values is 10.So, the second x-value is 10-2 = 8.Thus, the two x-values that have the same y-value and the sum of the x-values is 10 are 2 and 8.To learn more about functions, visit :
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You add 50 grams of solvent to paint. If 50 grams equals 1 part, how many grams
of paint do you need? (Do not label your answer with grams.)
theo needs 1 1/2 cups of flour for one recipe and 2 3/4 cups of flour for a second recipe. Theo only has a 1/4 cup measuring cup. How many times will theo need to fill the 1/4 cup measuring cup to measure the flour he needs for the two recipes?
Answer: 17 times
Step-by-step explanation:
It takes 6 times for the first recipe (.25x6=1.5)
It takes another 11 times for the second recipe (.25x4=2 + .25x3 = 0.75)
You add 6 + 11 and get 17
a survey regarding truck engines found a positive correlation between the size of the engine and horsepower the engine produces. answer the following question based only on this information. true or false: it can be concluded that trucks with larger engines have greater horsepower.
False
• Correlation means that there is a relationship or patter between the two variables. A scatter plot displays the data about the two variables as a set of points in the x-y plane and it is a useful tool for determining if there is a correlation between the variables.
• Causation means the one event causes other event to occur. It can only be determined by designed experiment.
• While correlation and causation both can exist at the same time, correlation doesn’t imply causation.
• Causation explicitly applies only to cases where action P causes outcome Q whereas correlation is simply a relationship.
Correlation doesn’t prove causation.
There could be third variable associated with the size of engine which caused the truck to have greater horsepower. For example, it can be that manufacturers anticipate that consumers who wanted trucks with greater horsepower also prefered trucks with larger engines and therefore chooses to make trucks with larger horsepower.
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5/6=1/3+d
omg help mee
Answer:
[tex]d=1/2[/tex]
How to solve:
Group.Find d.Step-by-step explanation:
[tex]\frac{5}{6}=\frac{1}{3}+d\\\frac{1}{3}+d=\frac{5}{6}[/tex]
Group
[tex]\frac{1}{3}+d=\frac{5}{6}\\\frac{1}{3}+d-\frac{1}{3}=\frac{5}{6}-\frac{1}{3}\\d+\frac{1}{3}+\frac{-1}{3}=\frac{5}{6}-\frac{1}{3}\\d+\frac{1-1}{3}=\frac{5}{6}-\frac{1}{3}\\d+\frac{0}{3}=\frac{5}{6}-\frac{1}{3}\\d+0=\frac{5}{6}-\frac{1}{3}\\d=\frac{5}{6}-\frac{1}{3}\\d=\frac{5}{6}+\frac{-1\cdot 2}{3\cdot 2}\\d=\frac{5}{6}+\frac{-1\cdot 2}{6}\\d=\frac{5}{6}+\frac{-2}{6}\\d=\frac{5-2}{6}\\d=\frac{3}{6}\\d=\frac{1\cdot 3}{2\cdot 3}\\d=\frac{1}{2}[/tex]
Hope it helps.
you are about to buy a calculator for $10, and the sales-person tells you that the model you want to buy is on sale for $5 at the store’s other branch, which is a 20 minute drive away.
Answer:
The question is incompleye. Do elaborate?
Look at the equations below. Tell whether each equation is True or False.
a. 2^9/2^-5=2^14
b. (5^0)^3 = 5^3
c. 4^5 x 2^5 = 8^10
d. 3^-9x3^7= 1/3^2
Answer: A. is true.
Step-by-step explanation: The left side 16384 is equal to the right side 16384, which means that the given statement is always true.
Suppose that the probability a seed will germinate is 85%. what is the probability that 7 of these seeds will germinate when 10 are planted? a. 0.1298 b. 0.385 c. 0.12 d. 0.141
Required probability = 120 * 0.0010819 = 0.1298
total number of outcomes of 7 from 10 = 10*9*8 / 3*2*1 = 120
probability of each outcoe is 0.85^7* (0.15)^(3) = 0.0010819
Required probability = 120 * 0.0010819 = 0.1298
Probability is simply how likely something is to happen.
Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
The best example for understanding probability is flipping a coin:
There are two possible outcomes—heads or tails.
What’s the probability of the coin landing on Heads? We can find out using the equation P(H) = ?P(H)=?P, left parenthesis, H, right parenthesis, equals, question mark.
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Answer(with steps pls)
Answer:
b. No
Step-by-step explanation:
7/6 can be changed to an equivalent ratio(fraction) by multiplying by the same number on top and on the bottom.
example:
7/6 = 7×3 / 6×3
= 21/18
21/18 is equivalent to 7/6.
7 doesn't even go into 52 for one thing. But 6×8 is 48 so try 8.
7/6 = 7×8 / 6×8
= 56/48
56/48 is equivalent to 7/6, not 52/48
two sides of a right triangle measure 222 units and 444 units. 2\text{ units}2 units4\text{ units}4 units what is the area of the square that shares a side with the third side of the triangle?
With the help of Pythagoras Theorem for triangles, we get that the possible areas of the square are: 12 sq. units and 20 sq. units, according to the cases mentioned.
What is Pythagoras Theorem?According to the Pythagoras Theorem, in a right angled triangle, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given:
Sides of a right triangle are 2 and 4 units.
To find: Area of a square that shares a side with the third side of the triangle.
Finding:
There can the following cases:
If 2 and 4 units are the lengths of the perpendicular sides.
Then, by Pythagoras Theorem, -
[tex]H^{2} = 2^{2}+4^{2}\\ H^{2} = Side^{2}\\H=Side \\H= \sqrt{4+16} \\H= \sqrt{20} \\H= 2\sqrt{5}[/tex]
Hence, the area of the square = side² = 20 units²
If 4 units is the length of hypotenuse.
Then, by Pythagoras Theorem,
[tex]4^{2} = 2^{2} + A^{2} \\16 - 4 = A^{2} \\= \sqrt{12}\\[/tex]
side of triangle = [tex]\sqrt{12}[/tex]
Hence, the area of the square = side² = 12 units²
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I need help with 47 please
Answer:
25 students and 40%
Step-by-step explanation:
Tom drives 8 1/2 miles every 1/30 hour. How many miles can he drive in 3 hours
In 3 hours Tom drives 243 miles.
What is speed?The rate at which an object's position changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling. Because it has only one direction and no magnitude, speed is a scalar quantity.So, to find how many miles Tom can drive in 3 hours:
Given: Tom drives 81/2 miles every 1/30 hour.
81/2 miles = 40.5 miles1/30 hours = 30 minutesSo, in 30 minutesTom drives 40.5 miles.
Then, in 1 hour Tom will drive 40.5 + 40.5 = 81 miles.Miles Tom will drive in 3 hours = 81 × 3 = 243 miles.Therefore, Tom drives 243 miles in 3 hours.
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Estimate the quotient of 538 divided by 96 by using two methods 
The two methods for estimation of the quotient of 538 divided by 96 is being explained.
We are given that:
538 ÷ 96
We need to estimate the quotient of 538 ÷ 96 by using two methods.
The first method can be that we first estimate the divisor and the dividend to the nearest tens and then perform the division.
538 will be rounded off to 540 and 96 will be rounded off to 100.
So, it becomes:
540 ÷ 100
= 5.4
This will again be rounded off to 5
= 5
The second method will be that we first perform the division and then round off.
538 ÷ 96 = 5.61
Rounding off, we will get:
= 6.
Therefore the two methods for estimation of the quotient of 538 divided by 96 is being explained.
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[Been stuck on it for weeks, help me or I will fail. I will give Brainlist to anyone who has a well written descriptive answer please.]
A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the
function p(t) = 6t, where t represents time in minutes and p represents how far the paint is
spreading.
The flowing paint is creating a circular pattern on the tile. The area of the pattern can be
expressed as A(p) = лp².
Part A: Find the area of the circle of spilled paint as a function of time, or A[p(t)]. Show your
work. (6 points)
Part B: How large is the area of spilled paint after 8 minutes? You may use 3.14 to
approximate in this problem. (4 points)
Answer:
Part A: 28.26t²
Part B: 2,826 square unit
Explanation:
Part A:
A[p(t)] = π (3t)² = 3.14 * 9t² = 28.26t²
Part B:
p(10) = 3(10) = 30
A(p) = 3.14 * 30² = 3.14 * 900 = 2,826 square unit
what is the solution to this problem? 2 | x+5 | =4
Answer:
x = -7
x = -3
Step-by-step explanation:
Given the following question:
[tex]2\left|x+5\right|=4[/tex]
To find the answer to this question we have to remember to apply the absolute value. The absolute value means we have to convert any negative within the lines into positive.
[tex]2\left|x+5\right|=4[/tex]
[tex]\frac{2\left|x+5\right|}{2}=\frac{4}{2}[/tex]
[tex]\left|x+5\right|=2[/tex]
Apply absolute value:
[tex]x+5=-2[/tex]
[tex]x+5=2[/tex]
Solve each equation:
[tex]x+5=-2[/tex]
[tex]5-5=0[/tex]
[tex]-2-5=-7[/tex]
[tex]x=-7[/tex]
[tex]x+5=2[/tex]
[tex]5-5=0[/tex]
[tex]2-5=-3[/tex]
[tex]x=-3[/tex]
Your answers are "x = -3 and x = -7."
Hope this helps.
Answer:
x = -3
x= -7
Step-by-step explanation:
l x + 5 l = 4/2
(x + 5) = 2 or - (x + 5) = 2
- (x + 5) - 5 = 2 - 5
x = -3
- x - 5 = 2
- x - 5 + 5 = 2 + 5
-x = 7
x = -7
Consider the points A(-5,-2), B(1,1), C(-1,0), and D(3,2).
(a): The slopes of both segments AB and CD are
(b): The segments are not parallel, because they lie on the same line.
(c): What word in the Parallel Slope Property addresses the problem in part (b)?
Parallel Slope Property: Two distinct lines are parallel if they have the same slope.
Blank 1:
Blank 2:
(enter the value).
(a) Slope of AB = and Slope of CD =
(b) True, both segments are not parallel as they lie on the same line
(c) Distinct lines are the words in Parallel slope property that addresses the problem in part(b).
What is Slope of a line and Parallel Slope Property and co-linear points?
Slope of a line :Given are two points P (x₁, y₁) and Q ( x₂, y₂)
Then slope of the line PQ is given by [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Given Parallel Slope Property: Two distinct lines are parallel if the have the same slope
Colinear points: A,B,C,D are collinear points if the slopes of lines AB, BC,CD,DA are all equal.
Given the points A(-5,-2), B(1,1), C(-1,0), and D(3,2).
Slope of the line AB [tex]=\frac{1-(-2)}{1--(5)}=\frac{3}{6} =\frac{1}{2}[/tex]
Slope of the line CD [tex]=\frac{2-0}{3-(1)}=\frac{2}{4} =\frac{1}{2}[/tex]
Slope of the line BC [tex]=\frac{0-1}{-1-1}=\frac{-1}{-2} =\frac{1}{2}[/tex]
Slope of the line DA=[tex]\frac{-2-2}{-5-3}=\frac{-4}{-8} =\frac{1}{2}[/tex]
Therefore A,B,C,D are collinear means they lie on the same lines
Slopes of AB and CD are equal but still they are not parallel because according to Parallel Slope Property two lines with same slope are parallel only when they are distinct but AB and CD are on same line.
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The average of five numbers is 72, two of them are 70 and 74. Find the average of the other three numbers.
The average of the other 3 numbers is 72.
Average or mean is a measure of central tendency which calculates the central point of a data-set.
Average of a set of numbers is calculated by taking the sum of the numbers and dividing it by the total frequency of the numbers.
If 3 numbers a , b and c are taken then the average is equal to
(a+b+c) ÷3
Given average of 5 numbers is 72.
Therefore the sum of the numbers is 72 × 5 = 360
Two of the numbers are 70 and 74 .
Sum of the remaining 3 numbers = 360 - (70 + 74) = 360 - 144 = 216
Average of the 3 numbers = 216 ÷ 3 = 72
Therefore the average of the remaining 3 numbers is 72.
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Write the equation in logarithmic form: 2^-3=0.125
Show your steps
The equation 2⁻³ = 0.125 in logarithmic form is -3log(2) = log(0.125)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.
Given the equation:
2⁻³ = 0.125
Taking the logarithm of both sides:
log(2⁻³) = log(0.125)
-3log(2) = log(0.125)
The equation 2⁻³ = 0.125 in logarithmic form is -3log(2) = log(0.125)
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I will Mark Brainlist ...Find the length of p. Please Help its Math question i will Mark Brainlist !!
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
Let's use Trigonometric ratios to find p :
[tex]\qquad \sf \dashrightarrow \: \cos(60) = \cfrac{6}{p} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{2} = \dfrac{6}{p} [/tex]
[tex]\qquad \sf \dashrightarrow \: p = 6 \times 2[/tex]
[tex]\qquad \sf \dashrightarrow \: p = 12 \: \: units[/tex]
Three numbers have absolute values of 2,4, and 9. The product of all the numbers is positive.
A. Find the product
B. Find the different ways to write the signs of the numbers to give a positive product. Tell how many different ways there are in all.
Answer:
what you have to do is multiply 2 times 4 which is 8 and multiply the 8 by 9 which is 72
Step-by-step explanation:
2*4 =8
8*9=72
72 plus 8 is 80
find the rise and the run
Answer:
down below
Step-by-step explanation:
The picture is a little blurry so the graph is hard to read. But I believe the answer is 7/8. The rose would be counting up or down the y axis and the run is counting forward or backward on the x axis.
Hope this helps! :)
Answer:
rise = 7, run = 8
slope = rise/run = 7/8
See attached picture for graph in case you have to plot
Step-by-step explanation:
Take two distinguishable points, (x1, y1) and (x2, y2) on the graph. Find the difference in their y values= y2 - y1. This will be the rise
Find the corresponding difference in the x values, x2 - x1. This will be the run
Divide the y difference by the x difference and you get rise/run which is the slope of the line
Two clear points are (x1 = 0, y1= -7) and (x2=8, y2=0)
(y2 - y1)/(x2 - x1)
= (0 - (-7)/(8 - 0))
= (0+7/(8 - 0) ==> 2 negatives make a positive
= 7/8 and that is rise/run
Rise = 7, run = 8
Picture shows rise and run if you want to graph it
1. Larry is in the market for a new lawn mower. He has found two on sale. The first lawn
mower is $275 with a 20 percent discount but must be assembled. The second lawn
mower is $299 with a 25 percent discount and is already assembled. Which of the
following describes the best decision for Larry?
The option that describes the best decision for Larry is Larry buys the second lawn mower because he thinks the extra $5 are worth not having to do the assembly.
How much does Larry spend?The cost of the first lawnmower after the discount is:
= 275 x (1 - 20%)
= 275 x 0.80
= $220
The cost of the second lawnmower is:
= 299 x 0.75
= $224.25
The difference between the lawnmowers is around $5. This $5 is the cost of the assembly on the second lawnmower and Larry might decide that this cost is worth it.
Options for this question include:
Larry buys the second lawn mower because he thinks the extra $5 are worth not having to do the assembly.Larry buys the second lawn mower because it is cheaper due to the better sale, and he doesn't want to assemble a lawn mower.Larry buys the first lawn mower because he likes the way it looks.Larry buys the first lawn mower because it is significantly cheaper.Larry buys the first lawn mower because he can take the day off of work to build it and will saveFind out more on economic decisions at https://brainly.com/question/27840103
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In which place is the digit in the number 5,341 that would it be changed to 5,841 how to how do the values of two numbers compare
We get that, the digit is in the 3rd place (hundreds).The difference between the numbers is 500.
We want to change the digit in the number 5,341 into 5,841.
We also need to find the difference between the numbers.
The number 3 is in the 3rd place (hundreds) of the number 5,341 as a digit will be replaced by 8 to form the number 5,841.
This means that 300 is replaced by 800 because the third place in both the numbers is of hundreds.
The difference between 800 and 300 is:
800 - 300 = 500.
Subtraction of 5,341 from 5,841 also yields 500.
Therefore, we get that, the digit is in the 3rd place (hundreds).The difference between the numbers is 500.
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Given that 5x8y = 29
Find y when x = -1
Give your answer as an improper fraction in its simplest form.
how many solutions does this equation have?
2y+20y-15=19+20y
Answer:
1 solution
Step-by-step explanation:
2y + 20y - 15 = 19 + 20y , that is
22y - 15 = 19 + 20y ( subtract 20y from both sides )
2y - 15 = 19 ( add 15 to both sides )
2y = 34 ( divide both sides by 2 )
y = 17
Answer:
Step-by-step explanation:
Answer
one
Proof
2y + 20y - 15 = 19 + 20y Combine the left side.
22y - 15 = 19 + 20y Add 15 to both sides
22y - 15+15 = 19 +15 + 20y Combine
22y = 34 + 20y Subtract 20y from booth sides
22y-20y = 34 + 20y-20y Combine
2y = 34 Divide both sides by 2
2y/2 = 34/2
y = 17
That's the only solution you get. The number of solutions to any equation (with certain exceptions) is the highest power on the variable.
x^2 + 2x - 8 has 2 solutions (from the x^2)
x^3 + 3x^2 + 2x + 15 = y has three solutions
201.96+38.7+0.84
Eh this question I been on it for like 3 hours
I need help
Answer:
241.5
Step-by-step explanation:
201.96+38.7+0.84