Here is another riddle:•The sum of two numbers is less than 2.•If you subtract the second number from the first, the difference is greater than 1.What are the two numbers? Explain or show how you know.
Answers
Let the two numbers be A and B
Their sum is less than 2
Thus,
\(A+B<2\)When the second number is subtracted from the first number, the difference is greater than 1.
Thus,
\(A-B>1\)Related Questions
Xy3-9xyz2 is my math problem and I need help with the complete breakdown
Answers
(x • (y³)) - 32xyz²
Pull out like factors :
xy³ - 9xyz² = xy • (y² - 9z²)
Factoring: y² - 9z²
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B² =
A² - B²
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : y² is the square of y¹
Check : z² is the square of z¹
Factorization is : (y + 3z) • (y - 3z)
Final result :
xy • (y + 3z) • (y - 3z)
f(x) = x + 2
g(x) = x - 4
(fg)(x) =
Answers
Answer:
Step-by-step explanation:pleased to help u....
if a family of 4 eats 2 slices everyday how much slices of bread would they eat in 30 days
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Andre went ___ miles before his tire went flat :-)
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m = miles before the tire went flat
so he left the house zipping his way through at 9mph, then heck what the dickens? a flat tire "m" miles later, man!!! so he turned around back home at 3mph, he had gone "m" miles over, so going back home will be the same "m" back.
We know the trip in total took 8 hours, so if say he took "h" hours on the way over, then on the way back is just "8 - h" hours, namely the slack from 8 and "h".
\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{On his way over}&m&9&t\\ \textit{On his way back}&m&3&8-t \end{array}\hspace{5em} \begin{cases} m=(9)(t)\\\\ m=(3)(8-t) \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{using the 1st equation}}{m=9t}\implies \cfrac{m}{9}=t \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{m=3\left( 8-\cfrac{m}{9} \right)}\implies m=24-\cfrac{m}{3}\implies m+\cfrac{m}{3}=24 \\\\\\ \cfrac{4m}{3}=24\implies 4m=72\implies m=\cfrac{72}{4}\implies \boxed{m=18}\)
In a mathematics class, 66 students received an A on the third test, which is 150% of the students who received an A on the second test. How many students received an A on the second test?
Answers
44 students received an A on the second test and 66 students received an A on the third test.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
In a mathematics class, 66 students received an A on the third test, which is 150% of the students who received an A on the second test.
Let x be the number of students who received an A on the second test.
150% of x = 66
1.5x = 66
x = 44 students
Thus, 44 students received an A on the second test and 66 students received an A on the third test.
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Suppose 72% of students chose to study French their freshman year, and that meant that there were 378 such students. How many students chose not to take French their freshman year?
Answers
Answer:
There were 378 students who chose to study French their freshman year. This means that 72% of the total number of students chose to study French their freshman year. Therefore, the total number of students must be 378 / 0.72 = 527.5. This means that there were 148.5 students who chose not to take French their freshman year.
Step-by-step explanation:
can someone help me with this i’ll give you 25 points
Answers
Answer:
Um.... Wouldn't angle 1 just be 180-17 which is 163. Angle 3 would be equal to angle 1 so also 163. Angle 4 and angle 2 are equal to 17.
Step-by-step explanation:
Answer:
angle1 = 163°
angle2 = given in diagram
angle 3 = alternating angle 1, so 163°
angle 4 = alternating angle 2, so 17°
Step-by-step explanation:
noticing that the two lines intercept each other at the centre, making angles going around that interception point add up to 360° (you can use this information to check the answers).
an angle on a straight line is always 180°, so given that angle2 is 17°, you can already do 180 - 17 to get an easy answer to angle 1 and 3.
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
and solve it
Answers
Answer:
Step-by-step explanation:
A. x + 5=12
7x = 21
B. b - 2/3 = 5/6
1/5m = 20
C. 45 = 3(x + 1)
D. 22.5 = 1.5x
E. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to represent the number of weeks and t to represent the total amount Mark has after any number of weeks.
LINK = REPORT
Simplify.
(-8^3)^2
A) (-8)
B) (-8)^5
C) (-8)^6
D) 16^3
And please answer this one if you can!
(4^3)^5
A). 4^-2
B). 4^3
C). 4^8
D). 4^15
I will give brainliest if the answer is right!
Answers
Answer:
Part 1:
(-8)^6
Part 2:
4^15
When raising a number to a power and then that value to another power, you can multiply the exponents.
XZ is the perpendicular bisector of segment WY. Solve for k. Enter a NUMBER only.
Answers
The calculated value of k on the line is 9
How to determine the value of kFrom the question, we have the following parameters that can be used in our computation:
XZ is the perpendicular bisector of segment WY
This means that
WX = XY
substitute the known values in the above equation, so, we have the following representation
3k - 4 = 2k + 5
So, we have
3k - 2k = 4 + 5
Evaluate
k = 9
Hence, the value of k is 9
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Find slope of (- 6,1)and(8,-7)
Answers
The slope of the line passing through the points (-6, 1) and (8, -7) is -4/7.
What is the slope of the given points?Slope is simply expressed as change in y over the change in x.
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given the data in the question;
Point A: ( -6,1 )
x₁ = -6
y₁ = 1
Point B: ( 8,-7 )
x₂ = 8
y₂ = -7
Now, plug the given x and y values into the slope formula above and simplify:
\(Slope\ m = \frac{y_2 - y_1}{x_2 - x_1} \\\\Slope\ m = \frac{-7 - 1}{8 - (-6)} \\\\Slope\ m = \frac{-7 - 1}{8 + 6} \\\\Slope\ m = \frac{-8}{14} \\\\Slope\ m = -\frac{4}{7}\)
Therefore, the slope of the line is -4/7.
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Plzzz help. Giving everything.
Answers
24^2 + 10^2 = 26^2
576 + 100 = 676, which is true, that means angle B is a right angle. Tangents touch the side of the circle at a right angle, so BC is perpidicular to AB.
A is true
Consider the function.
Which conclusions can be drawn about f–1(x)? Select two options.
f–1(x) has a slope of .
f–1(x) has a restricted domain.
f–1(x) has a y-intercept of (0, –36).
f–1(x) has an x-intercept of (–36, 0).
f–1(x) has a range of all real numbers.
Answers
The statement f⁻¹(x) has a y-intercept of (0, –36) and f⁻¹(x) has a range of all real numbers options third and fifth are correct.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The question is: Consider the function f(x) = (-2/3)x - 24 Which conclusions can be drawn about f⁻¹(x) Select two options:
f⁻¹(x) has a slope of -2/3
f⁻¹(x) has a restricted domain.
f⁻¹(x) has a y-intercept of (0, –36).
f⁻¹(x) has an x-intercept of (–36, 0).
f⁻¹(x) has a range of all real numbers.
f(x) = (-2/3)x - 24
To find the inverse of a function:
interchange the x and y
x = (-2/3)y - 24
y = (-3/2)(x + 24)
y = (-3/2)x - 36
The slope of a function f⁻¹(x) is -3/2
From the graph, we can see the y-intercept is (0, -36) and the range will be all real numbers.
Thus, the statement f⁻¹(x) has a y-intercept of (0, –36) and f⁻¹(x) has a range of all real numbers options third and fifth are correct.
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Answer:
D and E
Step-by-step explanation:
did the test
A random sample of n = 45 observations from a quantitative population produced a mean x = 2.5 and a standard deviation s = 0.26. Your research objective is to show that the population mean μ exceeds 2.4. Calculate the p-value for the test statistic z = 2.58. (Round your answer to four decimal places.)
Answers
Answer:
P-value (t=2.58) = 0.0066.
Note: as we are using the sample standard deviation, a t-statistic is appropiate instead os a z-statistic.
As the P-value (0.0066) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the population mean μ exceeds 2.4.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the population mean μ exceeds 2.4.
Then, the null and alternative hypothesis are:
\(H_0: \mu=2.4\\\\H_a:\mu> 2.4\)
The significance level is 0.05.
The sample has a size n=45.
The sample mean is M=2.5.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.26.
The estimated standard error of the mean is computed using the formula:
\(s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.26}{\sqrt{45}}=0.0388\)
Then, we can calculate the t-statistic as:
\(t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.5-2.4}{0.0388}=\dfrac{0.1}{0.0388}=2.58\)
The degrees of freedom for this sample size are:
\(df=n-1=45-1=44\)
This test is a right-tailed test, with 44 degrees of freedom and t=2.58, so the P-value for this test is calculated as (using a t-table):
\(P-value=P(t>2.5801)=0.0066\)
As the P-value (0.0066) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the population mean μ exceeds 2.4.
express 72 1/2 as a percentage
Answers
Answer:
7250%
Step-by-step explanation:
To express 72 1/2 as a percentage, you need to convert it to a decimal first and then multiply by 100.
72 1/2 is equivalent to 72.5 as a decimal.
To convert it to a percentage:
72.5 * 100 = 7250
Therefore, 72 1/2 is equal to 7250% when expressed as a percentage.
let me know it is helpful for you or not
Step 2) Multiply 72.5 by 100 to work out the percentage
Step 3) 72.5 multiplied by 100 gives you 7250%
Which number(s) have a 5 that is 10 times the value of the 13,725 in ?
Answers
Answer:
I will give you three, but the answer is the number that has a 50
Step-by-step explanation:
52
654
7657
50 is the numbers that have a 5 in 10 times the value of the 13,725.
What is place value?Place value is the value of each digit in a number.
For example, the 5 in 350 represents 5 tens, or 50; however the 5 in 5006 represents 5 thousands, or 5000.
Now the given number is,
13,725
10 times of the number is givens as,
13,725*10
or, 137,250
here place value of 5 in 137,250 is 5 tens or 50.
Therefore, 50 is the numbers that have a 5 in 10 times the value of the 13,725.
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both sides of the equation contain a variable term.you can isolate the variable term on either the left or right side of the equation. isolate the variable term by: adding 4adding 6subtracting 17
Answers
Then to isolated the variable we add 4x to both sides of the equation.
Now, to isolate the constant terms we add 6 to both sides:
\(\begin{gathered} \frac{3}{5}x+4x-6+6=17+6 \\ \frac{3}{5}x+4x=23 \end{gathered}\)(b) The population consists of all 15-year-olds living in the attendance district of a local high school. You plan to obtain a simple random sample of 200 such residents by using the student roster of the high school as the sampling frame. (Select all that apply.)
Home-schooled students cannot be sampled.
Dropouts cannot be sampled.
Students who are on a school trip cannot be sampled.
Students who are out sick cannot be sampled.
Students who are skipping class cannot be sampled.
Answers
The people that would not be sampled would be:
Dropouts cannot be sampled.Home-schooled students cannot be sampled.How to determine the groups that cannot be sampled.We have to do this by considering the people that would be seen present in the roster of the school. The people that are dropouts as well as homeschooled cannot appear in a school register because they are not students.
The students that are sick and on the trip are all students of the high school so they can be included in the sampling that is being done by the school.
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HELP SRSLY I JEED TO GET THIS RIHT ILL MARK AS BRAINLYIST AND ILL GIVE 40 POINTS 14 yd-
12 yd
30 yd
2
The triangular prism above undergoes a dilation whose scale factor is
3
What is the volume of the image? Round your answer to the nearest tenths place.
Answers
A triangular prism is a three-dimensional geometric shape that consists of two triangular bases and three rectangular faces connecting them. It is a polyhedron with six faces, nine edges, and six vertices.
The two triangular bases of a triangular prism are congruent and parallel to each other. The rectangular faces are perpendicular to the triangular bases, and their lateral edges connect the corresponding vertices of the triangular bases.
The triangular bases are identical and parallel to each other. Each base has three vertices, three edges, and one face.There are three rectangular lateral faces connecting the corresponding vertices of the triangular bases. Each lateral face has two edges and one face.
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DIRECTIONS: Use this information to answer Parts A and B. −5=−y−3x Question 1 Part A Write the equation in slope-intercept form. Enter the correct equation in the box.
Answers
Answer:
y=3x+5
Step-by-step explanation:
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Answer:
y=mx+c
Step-by-step explanation:
-5/y=3x meaning that y=mx+c, hope this helps :)
Please help answer this?!!
Figure Q was the result of a sequence of transformations on figure P, both shown below.
Which sequence of transformations could take figure P to figure Q?
A
reflection over the x-axis and translation 7 units right
B
reflection over the y-axis and translation 3 units down
C
translation 1 unit right and 180° rotation about the origin
D
translation 4 units right and 180° rotation about the origin
Answers
Answer: A rotation 180 clockwise about the origin
Figure P is turned a half circle clock wise to form figure Q
Reflection over the x-axis and translation 7 units right. Therefore, option A is the correct answer.
Given that, figure Q was the result of a sequence of transformations on figure P.
What is the translation?A translation moves a shape up, down or from side to side but it does not change its appearance in any other way. Translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated the same distance in the same direction.
From the given figure, we can see reflection over the x-axis and translation 7 units right.
Therefore, option A is the correct answer.
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Nolan's Diner uses Super Hot Sauce when requested at their tables. Last night, 65 tables were served and 45 of those tables requested Super Hot
Sauce. What percent of the tables did not request Super Hot Sauce? (Round your percent to the nearest whole percent
Answers
Answer:
30.77%
Step-by-step explanation:
45 divided by 65 is 0.6923076923076923 (Rounded to 2 digits is 0.69). Multiply this by a hundred to get a percentage (69.23). We need to find those who didn't order hot sauce so we subtract 100-69.23 to get the answer 30.775.
The height h and collar size c , both in centimeters, measured from a sample of boys were used to create the regression line cˆ=−94+0.9h . The line is used to predict collar size from height, both in centimeters, for boys’ shirt collars. Which of the following has no logical interpretation in context?
Answers
Answer:
The C=intercept of the regression line
Step-by-step explanation:
The slope of the regression line has a logical interpretation as the average rate of change in collar size for a 1cm increase in height.
A linear regression is represented as \(^\wedge y = mx + c\)
The option that has no logical interpretation is: E The c-intercept of the regression line
From the question, we have:
\(^\wedge c = 94 + 0.9h\)
Using the above representation of a regression line \(\wedge y = mx + c\)
\(m \to\) the slope
\(c \to\) the y-intercept
By comparing \(\wedge y = mx + c\) to \(^\wedge c = 94 + 0.9h\)
\(0.9 \to\) slope
\(94 \to\) the y-intercept
While \(^ \wedge c\) and \(h\) are the variables (i.e. collar size and height)
From the list of given options (see attachment), the option that has no logical interpretation is:
E. The c-intercept of the regression line
This is because c does not represent the intercept of \(^\wedge c = 94 + 0.9h\)
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The prism is completely filled with 1750 cubes that have edge length of 1/5 ft.
What is the volume of the prism?
Enter your answer in the box.
_____ ft
Answers
The vοlume οf the prism is 14 cubic feet.
What is a rectangular prism?A three-dimensiοnal structure having six rectangular faces is called a prism. It is alsο knοwn as a rectangular cubοid οr a rectangular parallelepiped.
The prism is cοmpletely filled with 1750 cubes that have an edge length οf 1/5 ft. This means that the vοlume οf each cube is \((1/5)^3 = 1/125\) cubic feet.
Tο find the vοlume οf the prism, we can divide the tοtal vοlume οf the cubes by the number οf cubes:
Vοlume οf prism = (Vοlume οf οne cube) x (Number οf cubes)
Vοlume οf prism = (1/125) x 1750
Vοlume οf prism = 14 cubic feet
Therefοre, the vοlume οf the prism is 14 cubic feet.
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whats is 2+2?
im confused pls explain
Answers
Select the reason why these triangles are similar. If they are not, select "Not similar". 88 3 2 88 B. SAS A. AA D. Not similar C. SSS
Answers
From the given figure
The 2 triangles have one equal angle of measure 88
The side of length 3 and the side of length 1 have a ratio 3: 1
The side of length 6 and the side of length 2 have a ratio 6: 2, when we divide both terms of the ratio by 1, it becomes 3: 1
That means we have one equal angle and two proportional sides
Since the angle is between the proportional sides, then
The 2 triangles are similar by the SAS postulate
Answer B
Will give brainliest for correct answer
Answers
In a triangle the sum of two sides is always greater than the third side.
9-9 < x < 9+9
0 < x < 18 ← answer
Find the volume of a box that is 2 in x 4 in x 3 inch
Answers
Answer:
24in
Step-by-step explanation:
2*3*4= 24
Select the correct answer from the drop-down menu. The missing term in the denominator is
Answers
Answer: where is the answer choices
Step-by-step explanation:
Write 1/4 as a fraction with 8 as the denominator. Then add the fraction to 3/8. What is the sum? Write the fractions and the answer.
Answers
Answer:
2/8, 5/8
Step-by-step explanation:
\(\frac{1}{4}*\frac{2}{2} =\frac{2}{8} \\\\\frac{3}{8} +\frac{2}{8} =\frac{5}{8}\)
Multiplying by 2/2 is like multiplying by 1, so it doesn't affect the value.
To add fractions with the same denominator just add the numerator, the denominator stays the same.
The fraction is 2/8 and the sum is 5/8.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
let the numerator be x when denominator is 8.
so, 1/4 = x /8
8 = 4x
x= 8/4
x= 2
Now, fraction resulted above is added with 3/8
2/8 + 3/8
= (2+3)/8
= 5/8
Hence, the sum is 5/8.
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