Answer:
the shark can swim 45 mph and the scuba diver can only swim 20. What is the difference between the speeds of the shark, and the scuba diver?
Answer:
fbejfbe
give brainliest pls??
Step-by-step explanation:
Question 10(Multiple Choice Worth 5 points)
(Identifying Functions LC)
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma 3, at negative 1 comma negative 2, at 0 comma 2, and at 5 comma 1
Is the relation a function? Explain.
No, because for each input there is not exactly one output.
No, because for each output there is not exactly one input.
Yes, because for each input there is exactly one output.
Yes, because for each output there is exactly one input.
Is the relation a function:
No, because for each input there is not exactly one output.How to know if the relation is a functionTo determine if the relation is a function, we need to check if there is exactly one output for each input.
Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).
This means that there are two outputs for the same input, so the relation is not a function.
Therefore, the correct answer is: "No, because for each input there is not exactly one output."
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What is the area of the Rhombus?
Answer:
b
Step-by-step explanation:
) You spin the spinner once.
6
5
7
2
Submit
3
What is P(greater than 2)?
) Write your answer as a fraction or whole number.
The value of P(Greater than 2) is 0.75
How to evaluate the probabilityFrom the question, we have the following parameters that can be used in our computation:
Spinner = 6 5 7 2
Using the above as a guide, we have the following:
Greater than 2 = 3
Total = 4
The probability is
P = Greater than 2/Total
Substitute the known values in the above equation, so, we have the following representation
P(Greater than 2) = 3/4
Evaluate
P(Greater than 2) = 0.75
Hence, the solution is 0.75
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Does the graph show direct linear variation?
Answer:
yes
Step-by-step explanation:
it has a slope
An ecologist measures a group of saplings (young trees) and finds that they have an average circumference of 30 inches, with an SD of 5 inches. A histogram of the circumference values approximately follows the normal curve. A particular sapling has a 22 inch circumference. What percent of the trees have a circumference that is even smaller than this one's
Approximately 5.48% of the trees have a circumference smaller than 22 inches given that the mean is 30 inches.
To find the percentage of trees with a circumference smaller than 22 inches, we can use the concept of z-scores.
A z-score measures how many standard deviations a value is from the mean.
First, we calculate the z-score for the 22-inch circumference sapling using the formula:
z = (x - mean) / SD.
In this case, the mean is 30 inches and the standard deviation (SD) is 5 inches.
Plugging in the values, we get z = (22 - 30) / 5
= -1.6.
Next, we find the area under the normal curve to the left of the z-score using a z-table or a calculator.
A z-score of -1.6 corresponds to an area of approximately 0.0548.
To convert this to a percentage, we multiply by 100:
0.0548 * 100 = 5.48%.
Therefore, approximately 5.48% of the trees have a circumference smaller than 22 inches.
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pls help! i’ll give brainly to the right answer
if 12 hats for a birthday party cost $5.40, how much does it cost for 1 hat?
Answer:
2.22222222
Step-by-step explanation:
A movie theater charges $6 for one adult ticket and $3 for a child ticket. One night, the movie theater earned a total of $1, 428 from tickets sold. If 56 more children than adults attended the movie theater that evening, how many children attended
Answer:
The answer is A
Step-by-step explanation:
sarah is playing a game in which she rolls a number cube 20 times the results are recorded in the chart below. what is the experimental probability of rolling a 1 or a 2? answers 0.3, 0.45, 0.65, 1.25.
The experimental probability of rolling a 1 or a 2 is 0.2.
Hence, Option A is correct.
We know that,
The experimental probability of an event is defined as the number of times the event occurred divided by the total number of trials.
In this case,
The event is rolling a 1 or a 3,
Which occurred ⇒ 3 + 1
= 4 times.
Given that there are total number of trials = 20.
Therefore,
The experimental probability of rolling a 1 or a 3 = 4/20,
= 1/5
= 0.2
Hence, the required probability is 0.2.
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The complete question is:
Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?
Number on cube:1,2,3,4,5,6
Number of times event occurs:3,6,1,5,3,2
A.0.2
B.0.3
C.0.6
D.0.83
Solve the matrix equation for the unknown matrix X. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) A = [7 3 4 3] B = [7 2 7 2] C = [3 3 4 0 0 8] D = [10 30 30 30 30 0] 5(X - C) = D x = []
After solving the equation 5(X - C) = D , for the given matrices , we get , the unknown matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .
In the question ,
it is given that , the matrices are
A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\) B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\) C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) .
and the equation is given as 5(X - C) = D ,
and we have to find the value of unknown matrix X .
let the matrix X be = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\)
Substituting , the given matrices A , B , C and D in the equation 5(X - C) = D ,
we get ,
5(X - C) = D ,
5X - 5C = D ,
5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) - 5\(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\)
5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) - \(\left[\begin{array}{ccc}15&15\\20&0\\0&40\end{array}\right]\)
Simplifying further ,
we get ,
5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}25&45\\50&30\\30&40\end{array}\right]\)
Dividing both sides by 5 ,
we get ,
X = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\)
Therefore , the matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .
The given question is incomplete , the complete question is
Solve the matrix equation for the unknown matrix X.
A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\) B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\) C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) . the equation is
5(X - C) = D .
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What is the value of the expression “eight more than three times the difference of four and a number” when n = 3?
44
19
17
11
Answer:
11
Step-by-step explanation:
8 + 3*(4-3) = 8 + 3*1 = 8+3 =11
Answer:
its 11
Step-by-step explanation:
I need help with this practice problem solving It is trig Please note-*It has an additional picture that I will send you, it is a graph that goes along, use the graph to complete the practice.*
Based on the sine equation above, the sine graph is shifted 2 units upward. Hence, one of the points we can find along the midline is (0, 2).
Based on the equation above too, the period is 2π. Since the horizontal distance between the maximum and minimum peak is half the period, the distance would be π.
Dividing π by 2, we get π/2. The nearest maximum peak would be located at x = π/2 whereas the nearest minimum peak would be located at x = -π/2.
Since the amplitude in the given equation is 1 then, the maximum peak is located at y = 3 whereas the minimum peak is located at y = 1.
To summarize, we have a point (0, 2) along the midline. The nearest maximum peak is at (π/2, 3). The nearest minimum peak is at (-π/2, 1).
The graph is:
Complete the square
x^2 - 2x - 14 = 0
i seriously cannot standddd those ppl who say "PLLEEEASSSSSSEEEEE HELLPPPPPP MEEEEE IT'S DUE IN 2 MINUTES"
and i'm over here looking like...but whose fault is it that it's due in 2 minutes, and you can't figure it out it's like if you paid better attention to your teacher you'd be able to answer it i'm sure and dontttttt get me STARTED on those kids who use this like a dating website...it's like COME ON DUM-DUM how in the WORLDDDDD do you know that your "bf/gf" is ACTUALLY A CHILD OR THAT WHOEVER THEY CLAIM TO BE IS ACTUALLY THEM like OML some of y'all just have no common sense sheesh ♀️ but since this is an "academic website" i'll ask a question what is ∛-189
answer:
yeah or the people whose questions are literally nothing but a g00gle search away it's like you do know that you're practically wasting your points right? lol
have a nice day!
may i have the brainliest pls (i'm trying to become a genius)
answer to your math question-
-3\(\sqrt[3]{7}\)
**the steps are in the picture**
Solve 2log 12 (-8x)=6
The solution to the logarithmic equation \(2log12(-8x) = 6\) is \(x = -9/32\) .
What are logarithmic properties ?
Logarithmic properties are the rules that govern the behavior of logarithmic functions. These properties are important in simplifying logarithmic expressions and solving logarithmic equations. Some of the commonly used logarithmic properties include:
Product property: \(logb(xy) = logb(x) + logb(y)\)
This property allows us to simplify the logarithm of a product of two numbers into the sum of logarithms of the individual numbers.
Quotient property: \(logb(x/y) = logb(x) - logb(y)\)
This property allows us to simplify the logarithm of a quotient of two numbers into the difference of logarithms of the individual numbers.
Power property:\(logb(x^y) = ylogb(x)\)
This property allows us to simplify the logarithm of a power of a number by bringing the exponent outside of the logarithm and multiplying it with the logarithm of the base.
Change of base formula: \(logb(x) = logc(x) / logc(b)\)
This property allows us to change the base of a logarithm by dividing the logarithm of the number by the logarithm of the base in a different base.
Solving the given logarithmic equation :
The equation can be solved by using logarithmic properties and basic algebraic manipulation.
We can begin by using the property that states \(loga(b^n) = nloga(b)\) for any base a and any positive real number b. Applying this property, we can rewrite the left side of the equation as:
\(log12((-8x)^2) = log12(64x^2)\)
Next, we can use the property that states \(loga(b) = c\) is equivalent to \(a^c = b\). Applying this property, we can rewrite the equation as:
\(12^{2log12(64x^2)} = 12^6\)
Simplifying the left side, we get:
\(64x^2 = 12^6 / 12^2\)
\(64x^2 = 144\)
Dividing both sides by 64, we get:
\(x^2 = 144/64\)
\(x^2 = 9/4\)
Taking the square root of both sides, we get:
\(x=\pm 3/2\)
However, we need to check the solutions for extraneous roots since the original equation has a logarithm with a negative argument. We can see that the solution x = 3/2 is extraneous since it results in a negative argument for the logarithm. Therefore, the only valid solution is x = -9/32.
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A bag contains 14 blue, 6 red, 12 green, and 8 purple buttons. 25 buttons are removed from the bag randomly. How many of the removed buttons were red if the chance of drawing a red button from the bag is now 1/3?
Answer:
1 button.
Step-by-step explanation:
Total buttons = 40
Total red buttons = 6
Total Buttons removed =25
Buttons left = 40–25 = 15
Let the red buttons left = x
1.)Then, the probability of red buttons after removing 25 buttons = x/15 outcome / Total outcome)
2.)Probability of red buttons in the bag after removing 25 buttons is 1/3 (As given in the question)
Comparing Statement 1.) & 2.) , We get
x/15 = 1/3
x = 5
So the red buttons left = 5
Total red buttons= 6
Red buttons removed = 6–5= 1
Hence, only 1 button was red in the 25 removed buttons
There is only one red button in the removed buttons if it has a chance of drawing a red button from the bag after removing 25 buttons from the bag with 14 blue, 6 red, 12 green, and 8 purple buttons is 1/3. This is obtained by equating the probability of getting red buttons from the bag after removing 25 buttons with the given probability of red buttons.
What is probability?Probability is the measure of the likelihood of an event occurring.
Probability is given by the ratio of the number of favorable outcomes with respect to an event to the total number of possible outcomes.
\(p(A) = \frac{n(A)}{n(S)}\)
p(A) is the probability of event A
n(A) is the number of outcomes with respect to A
n(S) is the total number of possible outcomes
Calculating the number of red buttons:Given that a bag contains 14 blue, 6 red, 12 green, and 8 purple buttons.
So the total number of buttons in the bag = 40
It is given that 25 buttons are removed from the bag randomly
thus, the remaining buttons in the bag = 40 - 25 = 15
It is given that the probability of drawing a red button from the bag after removing 25 buttons is 1/3
So, for finding the number of red buttons in the bag after removing we can write,
n(A) = p(A) × n(S)
here, A is the event of drawing the number of red buttons and p(A) = 1/3 and n(s) = 15 (after removing)
Thus, the number of red buttons in the bag after removing = \(\frac{1}{3}\) × 15 = 5
So, the number of red buttons left in the bag = 5
then, the red buttons removed from the bag = 6 - 5 = 1
Therefore, only 1 red button is removed from the bag.
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Please help me!
How do you simplify the expression\(: x*4^8/4^5\)
Answer:
64x
Step-by-step explanation:
Hello!
Using the exponent rule \(\frac{a^b}{a^c} = a^{b - c}\), we can simplify the fraction.
Simplify:\(x*\frac{4^8}{4^5}\)\(x* 4^{8 - 5}\) Use the exponent rule.\(x * 4^3\) Simplify the power\(x*64\) Simplify the exponent\(64x\) SimplifyThe simplified expression is 64x.
\(\frac{2}{3} - \frac{4}{15}\)
pls help!!! show your work!!
will mark brainliest!!! :)
thank you1
Answer:
\(\frac{6}{15}\), which simplifyes to \(\frac{2}{5}\)
Step-by-step explanation:
\(\frac{2}{3}\) - \(\frac{4}{15}\)
\(\frac{10}{15}\) - \(\frac{4}{15}\)
\(\frac{6}{15}\) = \(\frac{2}{5}\)
Solve 0 = x2 + 6x + 13 by completing the square.
A. x = 5 and x = 1
B. x = 3 + i22−−√ and x = 3 − i22−−√
C. x = −1 and x = 1
D. x = −3 + 2i and x = −3 − 2i
Answer:
x = -3 - 2i and x = -3 + 2i
Step-by-step explanation:
I was too lazy to complete the square but solved it on WolframAlpha
Need help with question B asap pls will give brainiest and high points
Answer:
x = 16
Step-by-step explanation:
(b)
Since the triangles are similar then the ratio of corresponding sides are equal, that is
\(\frac{CB}{DE}\) = \(\frac{AC}{AD}\) , substitute values
\(\frac{x}{20}\) = \(\frac{8}{10}\) ( cross- multiply )
10x = 160 ( divide both sides by 10 )
x = 16
Assuming a diagnostic test with Sensitivity 99%, Specificity 95%, calculate positive predictive values, with 1% prevalence and with 5% prevalence assuming a total number of 10,000 people who were screened.
draw and label TWO 2x2 tables
(you will need two tables)
(one with 1%prevalence and one with 5% prevalence) & then calculate positive predictive value from each.
a) The 2 x 2 table for a diagnostic test is
Condition Positive Condition Negative
Test Positive 99 4,905
Test Negative 1 9,995
b) If the prevalence of the condition is 5%, and a person tests positive on the diagnostic test, there is a 51.02% chance that they actually have the condition.
Let's start by drawing a 2x2 table for a population with 1% prevalence. In this table, we have 10,000 people who were screened, with 100 of them having the condition and 9,900 not having the condition. We also know that the sensitivity of the test is 99%, meaning that 99 of the 100 people with the condition will test positive, and the specificity is 95%, meaning that 4,905 of the 9,900 people without the condition will test positive.
Condition Positive Condition Negative
Test Positive 99 4,905
Test Negative 1 9,995
To calculate the PPV, we use the formula:
PPV = (true positives) / (true positives + false positives)
In this case, the true positives are the 99 people with the condition who tested positive, and the false positives are the 4,905 people without the condition who tested positive. Therefore,
PPV = 99 / (99 + 4,905) = 0.0196 or 1.96%
This means that if the prevalence of the condition is 1%, and a person tests positive on the diagnostic test, there is a 1.96% chance that they actually have the condition.
Now, let's draw a 2x2 table for a population with 5% prevalence. In this table, we have 10,000 people who were screened, with 500 of them having the condition and 9,500 not having the condition. We still assume the sensitivity of the test is 99% and the specificity is 95%.
Condition Positive Condition Negative
Test Positive 495 475
Test Negative 5 9,025
To calculate the PPV, we use the same formula as before:
PPV = (true positives) / (true positives + false positives)
In this case, the true positives are the 495 people with the condition who tested positive, and the false positives are the 475 people without the condition who tested positive. Therefore,
PPV = 495 / (495 + 475) = 0.5102 or 51.02%
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In A ABC, mZA = 3x + 1; mZB = 4x - 17, andmZC = 5x – 20. Which type of triangle is AABC?1) right2) scalene3) isosceles4) equilateral
We can calculate the values of the angles given that the sum of the interior angles is equal to 180 degrees:
\(\begin{gathered} mA+mB+mC=180 \\ (3x+1)+(4x-17)+(5x-20)=180 \\ 12x-36=180 \\ 12(x-3)=180 \\ x-3=\frac{180}{12} \\ x-3=15 \\ x=15+3 \\ x=18 \end{gathered}\)With the value of x, we can calculate the value of each of the angles:
\(\begin{gathered} mA=3\cdot18+1=54+1=55 \\ mB=4\cdot18-17=72-17=55 \\ mC=5\cdot18-20=90-20=70 \end{gathered}\)As we have 2 equal angles, we can think of the triangle as having a axis of symmetry, bisecting the angle that has a unique value (mC=70 deg).
Then, as we have an axis of symmetry, two of the sides of the triangle are equal.
Then, the triangle is isosceles (Option 3).
Solve for x 3x - 8 = 16 pe your answer...
Answer:
x = 8
Step-by-step explanation:
You can solve the problem by first adding 8 to both sides (3x = 24), Then dividing both sides by 3 (x = 8).
a recent study concludes that you should drink coffee after breakfast in order to lose weight. researchers examined overweight adults who were dieting, and concluded that those who drank coffee after breakfast lost more weight, on average, than those who did not. which of the following is an example of a type i error? group of answer choices we conclude that there is no effect of drinking coffee when, in fact, there is an effect. we conclude that drinking coffee after breakfast leads to greater weight loss when in fact it does not. cannot be determined. we conclude that drinking coffee after breakfast leads to less weight loss when in fact it leads to greater weight loss.
The example of a Type I error in this case is: "We conclude that drinking coffee after breakfast leads to greater weight loss when in fact it does not."
What is Type I error?
A Type I error, also known as a false positive, occurs in statistical hypothesis testing when the null hypothesis (H₀) is incorrectly rejected, despite it being true in reality.
In hypothesis testing, a Type I error occurs when the null hypothesis (H₀) is incorrectly rejected when it is actually true. In this scenario, the null hypothesis would state that there is no effect of drinking coffee after breakfast on weight loss.
If the researchers conclude that drinking coffee after breakfast leads to greater weight loss, but in reality, there is no effect of coffee on weight loss, it would be a Type I error. This error implies that the researchers mistakenly concluded that there is a significant effect of the independent variable (drinking coffee after breakfast) on the dependent variable (weight loss), when there is no real effect present in the population being studied.
It is important to control the risk of Type I errors by selecting an appropriate significance level (alpha) and interpreting the results cautiously.
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If all three angles of one triangle are congruent to all three angles of another triangle, then the triangles are congruent
True
False
An electrician paid $398.40 total for 1,000 feet of wire.How much does he have to pay per foot a wire?
Divide the total spent by the total feet:
$398.40 / 1000 = 0.3984 per foot.
Round the answer as needed.
If a(x) = 3x 1 and b (x) = startroot x minus 4 endroot, what is the domain of (b circle a) (x)?
The composite function (boa)(x) is equivalent to √3x-3
Composite functionGiven the following functions
a(x) = 3x +1
b(x) = √x - 4
To determine the composite function (boa)(x)
b(a(x) = b(3x +1)
Substitute 3x + 1 into b(x) to have:
(boa)(x)= √(3x + 1) - 4
(boa)(x) = √3x-3
Hence the composite function (boa)(x) is equivalent to √3x-3
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A particle moves along a horizontal line. Its position function is s(t) for t is greater than or equal to 0. For each problem, find the velocity function v(t) and the acceleration function a(t).
1. s(t) = -t^4 + 12t^3
2. s(t) = -t^4 + 8t^3
Answer:
1) Velocity
\(v(t) = -4\cdot t^{3}+36\cdot t^{2}\)
Acceleration
\(a(t) = -12\cdot t^{2}+72\cdot t\)
2) Velocity
\(v(t) = -4\cdot t^{3}+24\cdot t^{2}\)
Acceleration
\(a(t) = -12\cdot t^{2}+48\cdot t\)
Step-by-step explanation:
From Physics we remember that velocity (\(v(t)\)) and acceleration (\(a(t)\)) are the first and second derivatives of the function position in time. That is:
1) Let \(s(t) = -t^{4}+12\cdot t^{3}\), where \(t \ge 0\). The functions velocity and aceleration are, respectively:
Velocity
\(v(t) = -4\cdot t^{3}+36\cdot t^{2}\)
Acceleration
\(a(t) = -12\cdot t^{2}+72\cdot t\)
2) Let \(s(t) = -t^{4}+8\cdot t^{3}\), where \(t\ge 0\). The functions velocity and acceleration are, respectively:
Velocity
\(v(t) = -4\cdot t^{3}+24\cdot t^{2}\)
Acceleration
\(a(t) = -12\cdot t^{2}+48\cdot t\)
Find the area of the surface given by r(u,v)=4cosvi+4sinvj+u2k, over R, where R is the rectangle in uv-plane with 0≤u≤4 and 0≤v≤2π.
The area of the surface defined by the vector function r(u,v) is obtained by integrating the magnitude of the cross product of the partial derivatives of r(u,v) with respect to u and v. The resulting integral, ∫∫8u dA, where dA is the area element in the uv-plane, will give the surface area of the region.
The surface area of the given region can be calculated using the formula for surface area of a parametric surface. The first step is to compute the partial derivatives of the vector function r(u,v) with respect to u and v. Taking the cross product of these partial derivatives will give us the magnitude of the normal vector at each point on the surface. Integrating this magnitude over the given rectangle R in the uv-plane will yield the surface area.
In this case, the vector function r(u,v) is defined as r(u,v) = 4cos(v)i + 4sin(v)j + u²k. To find the partial derivatives, we differentiate each component of r(u,v) with respect to u and v. The partial derivatives are dr/du = 2ui and dr/dv = -4sin(v)i + 4cos(v)j. Taking the cross product of these partial derivatives gives us the magnitude of the normal vector |dr/du x dr/dv| = 8u.
To calculate the surface area, we integrate this magnitude over the rectangle R in the uv-plane, which has the limits 0 ≤ u ≤ 4 and 0 ≤ v ≤ 2π. The surface area A is given by A = ∫∫|dr/du x dr/dv| dA = ∫∫8u dA, where dA is the area element in the uv-plane. Integrating 8u over the given limits of u and v will give us the final surface area of the region.
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A wise man once said, "400 reduced by
twice my age is 276." What is his age?
Please answer.
Answer
Step-by-step explanation:
Okay so add 276 two times, then divide that answer by 400.
plot 1/5 and -0.6 and their opposites on a number line
Answer:
here ya go ! also , 0.6 = 3/5 and 1/5 = .2
Step-by-step explanation: