Josh wrote a whole number using the digits 8,4,7,2,9 and 0. Josh's number has a seven in the thousands and a 2 in the tens place. Josh's number is less then 500,000. Is Josh's number greater than 480,000?
Answer:
4 out of the 6 possible numbers Josh wrote were greater than 480,000, while 2 out of the 6 possible numbers are less than 480,000
Step-by-step explanation:
The given parameters are;
The number with which Josh wrote the whole number = 8, 4, 7, 2, 9, and 0
The number in the thousands of the whole number that Josh wrote = 7
The number in the tens of the whole number that Josh wrote = 2
The value of the whole number that Josh wrote < 500,000
Therefore, we have;
The possible numbers in the hundreds of thousands place = 4, and 2
Which gives the following possible combinations;
The number of ways of selecting the first number = 1 way, the number is 4 to make the value less than 500,000
The number of ways of selecting the second number = 3 ways
The number of ways of selecting the third number = 1 way, the number is 7
The number of ways of selecting the fourth number = 2 ways as there are only two numbers left after filling the second place digit
The number of ways of selecting the fifth number = 1 way, the number is 2
The number of ways of selecting the sixth number = 1 ways
The total number of possible number combinations = 3×2×1 = 6 possible numbers, which are;
487920 or 497820 or 407829 or 407928 or 487029 or 497028
Therefore, 2 out of the numbers are less than 480,000, the remaining 4 possible numbers are larger than 480,000.
For which equations are in the solution for x the same number? 15 – х = -3
3
Answer:
Step-by-step explanation:
First equation:
15 - x = - 3
-x = - 3 - 15
-x = -18 (now negative signs on b.s cut eachother)
[x = 18]
Second equation :
15 - x = 3
-x = 3 - 15
- x = -12 ( now negative sign on b.s cut eachother)
[x = 12]
so x = 18 and x = 12 are not same
Combine like terms fir the following expression: -3x+14-11+11x
Answer:
8x + 3
Step-by-step explanation:
In the expression -3x + 14 - 11 + 11x, we have two pairs of like terms that can be combined together:
-3x, 11x
14, -11
If we rewrite this expression with the like terms together, it would look like this:
-3x+11x + 14-11
To make the addition of -3x and 11x easier, we could switch their places in the expression to make it look like this:
11x-3x + 14-11
(Note: Even though we are switching the terms' places, the -3x still keeps its negative sign when you move it around.
11x-3x is 8x and 14-11 is 3.
Therefore, the expression -3x + 14 - 11 + 11x can be simplified by combining like terms into 8x + 3.
If m is the midpoint of ab find the coordinates of a if b(4,6) and m(1,2) A is pls help I need to know pls
Find the mode:
4,5, 4, 3, 5, 1, 6
Answer:
4 and 5Step-by-step explanation:
The mode in a given set of data is the number that appears the most.
4 appears twice
5 appears twice
3 appears once
1 appears once
6 appears once
HELP PLEASEEEE A dressmaker needs to cut 4-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 4-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? How many inches of ribbon does the dressmaker have, in total?
Answer:
1620 peices
Step-by-step explanation:
9 ft = 9 x 12 (12 inches make 1 ft) = 108 x 15 rolls = 1620 inches
1620 inches divided by 4 inches = 405 peices
:)
greastest common factor of 24 and 18
Answer: 6
Step-by-step explanation:
the biggest number that can go into both 24 and 18 evenly is 6. 24/6 is four, and 18/6 is three
Which of the following is a solution of x2 + 4x = -8?
O x = -2 - 21
O x = 2 + 21
O x = -4 + 41
O x = 4 - 41
Answer:
[tex]x=2i-2,\:x=-2i-2[/tex]
Step-by-step explanation:
[tex]x^2 + 4x = -8\\\\\mathrm{Solve\:by\:completing\:the\:square}\\\\\mathrm{Write\:equation\:in\:the\:form:\:\:}x^2+2ax+a^2=\left(x+a\right)^2\\\\\mathrm{Solve\:for\:}a,\:2ax=4x:\quad a=2\\\\\mathrm{Add\:}a^2=2^2\mathrm{\:to\:both\:sides}\\\\x^2+4x+2^2=-8+2^2\\\\\mathrm{Simplify\:}-8+2^2:\quad -4\\x^2+4x+2^2=-4\\\\\mathrm{Complete\:the\:square}\\\left(x+2\right)^2=-4\\\\\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}\\[/tex]
[tex]\mathrm{Solve\:}\:x+2=\sqrt{-4}:\quad x=2i-2\\\\\mathrm{Solve\:}\:x+2=-\sqrt{-4}:\quad x=-2i-2\\\\x=2i-2,\:x=-2i-2\\[/tex]
There is an attachment at the bottom help me please.
Answer:
Fourth option
Step-by-step explanation:
We know that A and B are rational numbers because they can be written as the quotient of two integers. Therefore, that eliminates the first and third options because they state that (at least) one of the numbers is irrational but we know that both are rational, hence, they are incorrect. The second option is incorrect because A · B = [tex]\frac{mn}{pq}[/tex], not [tex]\frac{mp + nq}{pq}[/tex], therefore, the correct answer is the fourth option.
Without using a calculator, choose the statement that best describes the value of {86}
Answer: my guess is 9
Answer:
there would be the 8 in the tens place and the 6 in the ones place
Step-by-step explanation:
you can see this in a place value chart
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A and B are two cities.
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Submit Answer
a) Measure the bearing of B from A.
AX
b) Measure the bearing of A from B.
Answer:
A) measure the bearing of A from B
How does the outlier affect the standard deviation in the following set of data?
9 9 10 10 12 15 16 16 17 17 17 20 23 28
5.32
Removing the outlier lowers the standard deviation by 1.09
No outlier
4.23
Answer:
Removing the outlier lowers the standard deviation by 1.09
Step-by-step explanation:
Find the standard deviation of the data WITHOUT the outlier first.
If you don't know how to do standard deviation, here are the steps:
1. Find the mean
2. Subtract the mean by the data set values
3. Square the differences
4. Add the squared numbers together and divide by the number of data set values
5. What you have now is the variance, and all you have to do now is square the variance and you have the standard deviation
Repeat this, but WITH the outlier this time.
Final step, just subtract the smaller number (answer you got from the data with the outlier) by the greater number (answer you got from the data without the outlier) and you have your answer: 1.09!
Select all statements
A. Two squares with the same lengths are always congruent
B. Two rectangles with the same side lengths are always congruent
C. two rhombuses with the same side lengths are always congruent
D. two parallelograms with the same side lengths are always congruent
E. two quadrilaterals with the same side lengths are always congruent
Step-by-step explanation:
(A) squares are congruant .
(B) rectangle having equal length of same side is congruent.
(C)it is true because it have same side length are equal.
(D)it is true because same same side length are equal.
(E) it is truebecause same side length are equal.
The statements that are correct in the given question are: options A, B and C.
Quadrilaterals are figures or shape bounded by four straight sides. Thus each quadrilateral has its sum of interior angles to be [tex]360^{o}[/tex]. Examples include; rectangle, square, trapezium, rhombus, kite, parallelogram.
Considering the properties of each quadrilateral given in the question, it can be inferred that;
squares of equal length of sides are congruent. rectangles of equal length of sides are congruent. rhombuses with equal side lengths are congruent. parallelogram with the same side lengths may not be congruent. This is because the angles of the slanting sides may not be the same. quadrilaterals with the same side length may not congruent. Example: rectangle and parallelogram of the same side length are not congruent.Therefore, the appropriate statements that are correct are: options A, B and C.
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WHAT IS |3x + 2| > 9
Answer:
Answer will be the 7/3<x>7/3
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Question 1
Caroline said the absolute value of -25 is 25. Is she correct? Explain.
Answer:
lolllll
Step-by-step explanation:
What is the pattern ?
0, 1, 8, 27, 64,
Answer:
Step-by-step explanation:
1 (=1×1×1)
8 (=2×2×2)
27 (=3×3×3)
64 (=4×4×4)
What is the value of x?
5 + 2/3x = -x + 20
Please explain:
The value of X is 9.
Solve for x by simplifying both sides of the equation, then isolating the variable.
whats commutative property of multiplication.
Answer:
The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.
Step-by-step explanation:
Geography textbook has a width of 9 inches and a diagonal of 15 inches. What is the length of the
textbook?
Answer:
12 inches
Step-by-step explanation:
The Pythagorean's theorem states that a triangle's hypotenuse's length is equal to a^2+b^2=c^2.
9 is a, b is the length, and c is the 15.
9^2+b^2=225
225-81=144
The square root of 144 is 12, therefore 12 inches is the length.
Evaluate the expression for c = –0.3.
Write your answer as a decimal or whole number.
24c^2 =
Answer:
2.16
Step-by-step explanation:
c = -0.3
24c² =
plug in c
24(-0.3)²
solve for the exponent
24(0.09)
multiply
2.16
HELP ME PLEASE ECPLAIN WHY
Answer:
A≈110.11
using formula 1/4[tex]\sqrt5(5+2\sqrt5)a2[/tex]
Step-by-step explanation:
Is 4.5 natural number?
Answer:
No
Step-by-step explanation:
4.5 IS NOT A WHOLE NUMBER!
Answer:
YES 4.5 IS NATURAL NUMBER
Step-by-step explanation:
1)n/5=-10 How do we answer this question
Answer: Your answer will be [tex]\frac{-50}{5} =-10[/tex]
Step-by-step explanation: You will have
[tex](5)\frac{n}{5} =-10(5)[/tex] you will have to multiply 5 on both sides. So you will then simplify 5 and 5 to be left with n and multiply -10(5)=-50
So you get [tex]n=-50[/tex]
please help!
4^x*5^y=20, 4^y*5^x=20^2, x+y=?
Answer:
x + y are either 2 or 4
Step-by-step explanation:
conclusion x + y = 2 OR 4
Which statement about rational numbers is true?
All rational numbers are fractions.
Rational numbers never have repeating decimals.
Some integers are not rational numbers.
All fractions containing integers are rational numbers.
Answer:
the true one is all fractions containing integers are rational numbers is true
Step-by-step explanation:
i think
Answer:
All fractions containing integers are rational numbers.
Step-by-step explanation:
The result of adding a complex number to its conjugate is “an integer/a pure imaginary number/a real number/a whole number” and the result of subtracting a complex number from its conjugate is “an integer/a real number/a pure imaginary number/a whole number”
Answer:
If Z is a complex number:
Z = a + b*i
where a and b are real numbers, and i is an imaginary number.
Then "a" is the real part.
"b*i" is the imaginary part.
The conjugate of Z is:
Zc = a - b*i
So the sign of the imaginary part changes.
Then:
Sum:
Z + Zc = (a + bi) + (a - bi) = 2*a + 0 = 2*a
and remember that a is a real number, then 2*a is also a real numer.
The correct answer is "A real number".
Difference:
Z - Zc = (a + bi) - (a - bi) = 2b*i
and this is a pure imaginary number, so here the correct answer is: "a pure imaginary number"
Answer: a pure imaginary number
explanation:
The sum of a complex number and its conjugate will always be two times the real part of that complex number.
Z=a+b*i
where a and b are real numbers, and i is an nonexistent number.
Then a is the real part.
"b*i" is the imaginary part.
The connection of Z is:
Zc = a - b*i
So the sign of the imaginary part changes.
Sum:
Z + Zc = (a + bi) + (a - bi) = 2*a + 0 = 2*a
and remember that a is a real number, then 2*a is also a real number.
The correct answer is "A real number".
Difference:
Z - Zc = (a + bi) - (a - bi) = 2b*i
To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $5.80 per hour. The film club wants to spend at most $73.80 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
The inequality is x less than or equal to 6. So the amount of hours they can rent it is 6 hours or less.
Step-by-step explanation:
5.80x + 39 <_ 73.80 ----> subtract 39 on both side to get ---> 5.80x <_ 73.80 -----> then divide by 5.80 on both sides to get ---> x <_ 6.
Hope this helped!
Explain how to simplify the expression -98 - 31? Using the additive inverse.
Given:
The expression is -98 - 31.
To find:
The value of the given expression using the additive inverse.
Solution:
According to the additive inverse, for any number a,
[tex]a+(-a)=0[/tex]
Using additive inverse, we have
[tex]98+(-98)=0[/tex] ...(i)
[tex]31+(-31)=0[/tex] ...(ii)
Now, using (i) and (ii), we get
[tex]98+(-98)+31+(-31)=0[/tex]
[tex](98+31)+(-98-31)=0[/tex]
[tex]129+(-98-31)=0[/tex]
Subtracting 129 from both sides, we get
[tex]-98-31=-129[/tex]
Therefore, the value of given expression is -129.
4 to the second power is the same as 4 squared. True or false ?
Answer:
False.
Step-by-step explanation:
The length of segment AB is 10 cm
If you draw a point halfway between A and B and label the point C, what is the
length of AC?
Answer:
Step-by-step explanation:
The distance between B and C is ... 10. M(7, 1), N(4, –1). eSolutions Manual - Powered by Cognero. Page 2 ... Find the coordinates of G if F(1, 3.5) is the midpoint of ... Find the distance between each pair of points. ... approximated by a straight line, estimate the length of ... relationship between AB and each segment if you.