Answer:
Divisibility Rules: 2, 3, 4, 5, 6, 9, and 10
A number aa is divisible by the number bb if a \div ba÷b has a remainder of zero (00). For example, 15 divided by 3 is exactly 5 which implies that its remainder is zero. We then say that 15 is divisible by 3.
In our other lesson, we discussed the divisibility rules for 7, 11, and 12. This time, we will cover the divisibility rules or tests for 2, 3, 4, 5, 6, 9, and 10. Believe me, you will be able to learn them very quickly because you may not know that you already have a basic and intuitive understanding of it. For instance, it is obvious that all even numbers are divisible by 2. That is pretty much the divisibility rule for 2. The goal of this divisibility rules lesson is to formalize what you already know.
3. 1071
Step-by-step explanation:
A number is divisible by 3 if the sum of its digits is divisible by 3. A number is divisible by 9 if the sum of its digits is divisible by 9. And a number is divisible by 6 if it is divisible by 2 (even number) and by 3.
Suzy spent 6 ⅞ days working on her English paper, 3 ⅙ days doing her science project, and 1 ½ days studying for her math test. How many more days did Suzy spend on her English paper and math test combined than on her science project?
Answer:
She spent [tex]5\frac{5}{24} days[/tex] on her English paper and math test combined than on her science project
Step-by-step explanation:
Suzy spent time on English paper =[tex]6\frac{7}{8}=\frac{55}{8}[/tex]
She spent time on science project = [tex]3\frac{1}{6}=\frac{19}{6}[/tex]
She spent on Maths test =[tex]1\frac{1}{2}=\frac{3}{2}[/tex]
She spent on her English paper and math test combined =[tex]\frac{55}{8}+\frac{3}{2}=\frac{67}{8}[/tex]
Suzy spend time more on her English paper and math test combined than on her science project = [tex]\frac{67}{8}-\frac{19}{6}=5\frac{5}{24}[/tex]
Hence She spent [tex]5\frac{5}{24} days[/tex] on her English paper and math test combined than on her science project
PLEASE HELP Rob wants to buy a new canoe that will cost $720. How many months will it take him to save enough money to buy it if his cash inflows average about $420 a month and his current cash outflows are $360 a month?
Answer:
12 months
Step-by-step explanation:
if the amount of money rob makes a month is $420 and the amount he spends a month is $360 then subtract the two. if you do this you should get 60 and the you find 60 times what = $720
Rewrite 2/5 : 1/20 as a unit rate.
A. 40:1
B. 5:40
C. 8:1
D. 40:5
Answer:
Your answer would be D
Step-by-step explanation:
first make 2/5 and 1/20 into ?/100
figure out how many times 5 goes into 100 than multiply 2 by that answer.
40/100=40:?
then do the same to 1/20
5/100= ?:5
So 40:5
how do u make someone brainlest
Answer: There would be a crown on the top right side of their comment
1/2 divided by 3/2
answer now
Answer:
Step-by-step explanation:
1/2 ÷ 3/2
Copy dot flip
1/2 * 2/3
Rewriting
1/3 * 2/2
1/3 * 1
1/3
Answer:
0.33333333333
Step-by-step explanation:
Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form.
(-3,5), (3,3)
What is the point-slope form of the equation of the line?
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
What is the slope-intercept form of the equation of the line?
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Answer:
Step-by-step explanation:
Point-slope form:
The standard point-slope form equation is
[tex]y-y_1=m(x-x_1)[/tex]
where [tex](x_1,y_1)[/tex] are the coordinates and [tex]m[/tex] is the slope/gradient
so for point-slope form we need to find m cause we already have 2 coordinates (-3,5) , (3,3) we can use any one of them in our equation but first we need to find the slope by the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
we use our coordinates to find it and simply plug in the values
[tex]m=\frac{3-5}{3-(-3)} \\m=\frac{-2}{6} \\\\m=\frac{-1}{3}[/tex]
so we get our slope m = -1/3
and simply put m and any one of the coordinates into the standard form
[tex]y-y_1=m(x-x_1)\\y-3=\frac{-1}{3} (x-3)\\3(y-3)=-1(x-3)\\3y-9=-x+3\\3y=-x+12\\y=\frac{-x+12}{3} \\y=\frac{-x}{3} +4[/tex]
Slope-intercept form:
The standard slope-intercept form is
[tex]y=mx+c[/tex]
where m is the slope and c is the y-intercept, we already know the slope is -1/3 from the previous steps but we don't know the y-intercept so lets get started.
y-intercept means the equation intersects the y-axis which means the coordinate should be [tex](0,y)[/tex] so we plug in the slope -1/3 and the coordinate given above (-3,5) , (3,3) in the equation to find the y-intercept that is c. We can you use any one of the two coordinates.
[tex]y=mx+c\\3=\frac{-1}{3}(3)+c \\\\3=\frac{-3}{3} +c\\\\3=-1+c\\c=4[/tex]
so now we found the value of c=4 which is the y-intercept (0,4) and finally our slope-intercept form would be
[tex]y=\frac{-x}{3} +4[/tex]
as both form are same but the approach is different this verifies that both our answers are correct.
The slope of the line is -1/3. The equation in the slope-intercept form is y = (-1/3) x + 4.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that,
The line passes through points (-3,5), and (3,3).
The slope of the line is,
m = (y₂-y₁) / (x₂-x₁)
m = (3-5) / (3-(-3)
m = -2 / 6
m = -1 / 3
The standard equation for the line is,
y - y₁ = m (x - x₁)
y - 5 = -1 / 3 (x - (-3)
3(y - 5) = -1(x+3)
3y - 15 = -x -3
x + 3y = -3 +15
x + 3y = 12
3y = -x +12
y = (-1/3) x + 4
Thus, the slope of the line is -1/3. The equation in the slope-intercept form is y = (-1/3) x + 4.
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Please help me with #2
Answer:
Step-by-step explanation:
Answer is B
help -2 x 8/3 it's multiplecation
Answer: -16/3
Step-by-step explanation:
-2 (8/3)
(-2/1)(8/3)
((-2)(8))=-16
1(3)=3
-16/3
Answer:
-2 x 8/3 = -16/3
Step-by-step explanation:
When multiplying fractions, you multiply the numerators (numbers above the fraction line) and the denominators (numbers below the fraction line) with each other. If one of the numbers is not visibly a fraction, remember that all numbers are actually fractions - you must simply write in the denominator of 1. In this case, you'd write [tex]-\frac{2}{1} * \frac{8}{3}[/tex], which would then give you the result of [tex]-\frac{16}{3}[/tex] (-2 x 8 = -16, 1 x 3 = 3).
Hope this helped!
bonus fun fact: the fraction line is called the vinculum.
The lifespans of zebras in a particular zoo are normally distributed. The average zebra lives 20.520.520, point, 5 years; the standard deviation is 3.93.93, point, 9 years. Use the empirical rule (68-95-99.7\%)(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a zebra living between 16.616.616, point, 6 and 24.424.424, point, 4 years.
Answer:
0.67894
Step-by-step explanation:
Given that :
Lifespan of zebra is normally distributed :
Mean(μ) = 20.5
Standard deviation (σ) = 3.93
Probability of Zebra living between 16. 6 to 24.4 years
Using the empirical rule :
Z = (x - μ) / σ
For : P(Z < x ) ; X = 16.6
Z = (16.6 - 20.5) / 3.93
Z = - 0.9923
P(Z < - 0.9923) = 0.16053
For : P(Z < X) ; X = 24.4
Z = (24.4 - 20.5) / 3.93
Z = 0.9923
P(Z < 0.9923) = 0.83947
Hence,
0.83947 - 0.16053 = 0.67894
Answer:
68%
Step-by-step explanation:
I need some help real quick. thank you
[tex] \frac{3}{4} |5 + x| = 6[/tex]
[tex]10 - |x| = 15[/tex]
Which ordered pair is a solution to the system of equations?
y=4x
y= 3x + 2
The solution of the system of equations will be (2, 8).
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The system of equations are,
y = 4x
And, y = 3x + 2
Now,
Solve the linear equations as;
The system of equations are,
y = 4x .... (i)
y = 3x + 2 .. (ii)
Substitute y = 4x in equation (ii) as;
y = 3x + 2
4x = 3x + 2
4x - 3x = 2
x = 2
And, y = 4x
y = 4 × 2
y = 8
Thus, The solution of the system of equations will be (2, 8).
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During a baseball game, a baseball player got 4 hits out of 12 times at bat. What is the "hit" per "at bat" ratio for this player?
Answer:
4:12
Step-by-step explanation:
he hit the bat 4 : out of 12 times
4:12
Marcus and Jeremy both evaluated the expression −52 + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student’s work.
Answer:
Step-by-step explanation:
Both of them are wrong the answer would be -49.
Answer:
Marcus is correct. Jeremy squared -5 instead of 5. The negative is not within parentheses, so it is not squared.
Step-by-step explanation:
A random sample of 25 U.S. residents was selected using census data from the year 2000. The dotplot below shows the distribution of total personal income (in thousands) for the members of the sample. The mean of this distribution is $25,615 and the standard deviation is $25,333.What percent of the sample had total personal incomes within two standard deviations of the mean?
Answer:
95%
Step-by-step explanation:
Data falls within 2 standard deviations from the mean - is calculated using;
μ – 2σ and μ + 2σ .
The mean of this distribution is $25,615 and the standard deviation is $25,333.
μ – 2σ
= $25,615 - 2($25,333)
=$-25051
μ + 2σ
= $25,615 + 2($25,333)
= 76,281
Empirical rule states that: 95% of data falls within 2 standard deviations from the mean
Hence, 95% the sample had total personal incomes within two standard deviations of the mean.
Which function is continuous?
a. Number of children enrolled in a particular school as a function of time.
b. Outdoor temperature as a function of time.
c. Price of a stock as function of time.
d. Cost of U.S. postage as a function of the weight of the letter.
Answer: B. Outdoor temperature as a function of time
Step-by-step explanation:
just answered edge2020
anyone knows the answer?
Which is the graph of g(x)?
x²+x-90=0 using completing the square method
Answer:
x = - 10, x = 9
Step-by-step explanation:
Given
x² + x - 90 = 0 ( add 90 to both sides )
x² + x = 90
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2([tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] = 90 + [tex]\frac{1}{4}[/tex]
(x + [tex]\frac{1}{2}[/tex] )² = [tex]\frac{361}{4}[/tex] ( take the square root of both sides )
x + [tex]\frac{1}{2}[/tex] = ± [tex]\sqrt{\frac{361}{4} }[/tex] = ± [tex]\frac{19}{2}[/tex] ( subtract [tex]\frac{1}{2}[/tex] from both sides )
x = - [tex]\frac{1}{2}[/tex] ± [tex]\frac{19}{2}[/tex] , thus
x = - [tex]\frac{1}{2}[/tex] - [tex]\frac{19}{2}[/tex] = [tex]\frac{-20}{2}[/tex] = - 10
x = - [tex]\frac{1}{2}[/tex] + [tex]\frac{19}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9
4√10 • 3√ 15
A. 60√6 or
B. 5√6
Which one?
Answer:
A. 60√6
Step-by-step explanation:
√10 * √ 15 = √ 150
√ 150 = 5√ 6
4 * 3 = 12
12 * 5 = 60
The answer is 60√ 6
Given m||n, find the value of x.
+
(3x-2)
(2x+30)
Which one?
A. B. C. or D?
Answer:
C
Step-by-step explanation:
hope this helps
BRAILIEST? PWEASE
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
what is 6/22 as a percent
Step-by-step explanation:
[tex] \frac{6}{22} \times 100 \\ \\ \frac{3}{11} \times 100 \\ = 27.3[/tex]
Answer:
23%
Step-by-step explanation:
also just divide the numerator by the denominator
hope this help u :)
What is the exponential expression for the numerical expression.
5.5.5.5?
204
54
45
0 4.54
Answer:
The answer would be 54
Step-by-step explanation:
Is f strictly decreasing on the interval (0,1)?
Answer:
yes
Step-by-step explanation:
from (0,5) to (1,0), it is decreasing
what is the square root of 14564
The cost of 24 caps is $150. Find the cost of each cap.
Answer:
6.25
Step-by-step explanation:
Divide 150 $ to 24 caps on your calculator
If the cost of 24 caps is $150, then the cost of each cap is $6.25.
What is unitary method?We know that a single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method. We typically use this technique for math calculations. We are able to locate the missing value using the unitary method.
How to solve it?Given that the cost of 24 caps is $150.
Then the cost of 1 cap is 150/24 = $6.25
Therefore we can conclude that If the cost of 24 caps is $150, then the cost of each cap is $6.25.
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Which situation can be represented by the equation. 1500 - 50x = 2000 - 100x
Answer:
x= 10
Step-by-step explanation:
hope i help youuuuu :)
do you think i should do airsoft i always wanted to
Answer:
Sounds like a good idea
Step-by-step explanation:
(mark this branliest if you do)
Answer:
YES
Step-by-step explanation:
Its so fun
What is the slope of the equation y = (5/4)x + (7/4)
Answer:
Step-by-step explanation:
4y=5x+7