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One million is 1.000,000, 100 million is 100,000,000, 1 billion is 1,000,000,000, and 10 billion is 10,000,000,000. Since this has the same number of digits as 1 billion and is closer to 1 billion than 10 billion due to that the second digit is lower than 5, our answer is C
Related Questions
Carly's age is more than twice his sisters age, s. Which of the following expressions represents Carly's age? (A) 2s + 3 (B) 3s + 2 (C) 2(s + 3) (D) s•s +3
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B would be Carly's age is two years more than three times his sister's age.
C would be Carly's age is two times his sister's age plus three
D would be Carly's age is his sister's age squared plus three.
Answer:
A 2s + 3
Step-by-step explanation:
Carly's age is more than twice his sisters age, s. Which of the following expressions represents Carly's age? (A) 2s + 3 (B) 3s + 2 (C) 2(s + 3) (D) s•s +3
4x-8y=9 what is the slope of a line perpendicular to this line
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you are given the measure of angle 4. You also know the following angles are supplementary: Angles 1 and 2, angles 2 and 3, angles 1 and 4. Explain how you can determine the measures of angles 1, 2, and 3.
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To find the measures of angles 1, 2, and 3, use the fact that angle 1 is supplementary to both angles 2 and 4, and angles 2 and 3 are supplementary. Set up equations and solve them simultaneously to find the measures of the angles.
Explanation:To determine the measures of angles 1, 2, and 3, we can use the information that angle 1 is supplementary to both angles 2 and 4, and angles 2 and 3 are supplementary. Since angles that are supplementary add up to 180 degrees, we can set up equations to solve for the measures of angles 1, 2, and 3.
Let's represent the measure of angle 4 as x. Then we can write the equations:
Angle 1 + Angle 4 = 180 degreesAngle 2 + Angle 3 = 180 degreesAngle 1 + Angle 2 = 180 degreesSubstituting x for the measure of angle 4, we can solve these equations simultaneously to find the measures of angles 1, 2, and 3.
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Alyssa received $30,000 from an inheritance and invests part in a certificate of deposit (CD) paying 5% annual interest and the rest in Apple Inc. offering an annual return of 11%. If the annual income from her investments is $2,220, how much did Alyssa invest in each?
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F = P (1+i)ⁿ, then,
A = F - P
A = P[(1+i)ⁿ - 1] = $2,220, where n=1 because annual means income per one year
Now, amount of P should be distributed such that the total would be $30,000. Thus, the equation should be
(30,000 - x)[1 +0.05 - 1] + x[1 + 0.11 - 1) = 2220
Solving for x,
x = 12,000
30,000 - x = 18,000
Hence, Alyssa placed $12,000 in the certificate of deposit, and $18,000 with Apple Inc.
Bridget works part time in a shoe store. Sometimes when it is not busy, she rearranges the shoes for fun. If she takes six different pairs of shoes and rearranges them in a row, in how many ways can she rearrange them so that no two shoes match?
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Use the vocabulary term "absolute value" to explain the term opposite as it pertains to positive and negative numbers. Explain why zero is the opposite of itself
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Answer:
zero is the opposite of itself because there is no negative zero to be its opposite so it is itselfs opposite.
Four pieces of wood each 11 1/2 inches long are required to build a cabinet. If all four pieces are cut from one board and 1 inch is allowed for waste in cutting each piece, how long should the board be?
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I need help ASAP. And, when done solving, how did you get your answer and what was your thought process (not steps). Thank you!!
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LCM of 15, 30, and 45
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13 + 3p = 7 I need help finding what p stands for.
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P is an unknown value. They are asking you to find what the value P could be.
Let me show you
13 + 3p = 7
Subtract 13 from both sides
13 - 13 + 3p = 7 -13
3p = -6
Divide both sides by 3 to find p
3p/3 = -6/3
p = -2
I hope I helped, please let me know if you have addition questions :)
Which set does not contain –3? the set of all real numbers the set of all integers the set of all whole numbers the set of all rational numbers
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The set of whole number since it is defined as positive integers + zero.
We have given that,
The set of all real numbers the set of all integers the set of all whole numbers the set of all rational numbers.
We have to determine the Which set does not contain –3
What is the set of all whole numbers?Integers are the set of whole numbers and negative of natural numbers. Hence, integers include both positive and negative numbers including 0. Real numbers are the set of all these types of numbers natural numbers, whole numbers, integers and fractions.
Therefore we get,
The set of whole number since it is defined as positive integers + zero.
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What is the solution set for the open sentence with the given replacement set? 13-x=7, {4,5,6,7} a. 4 b. 5 c. 6 d. 7
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What is 8.61×10−8 in decimal form?
0.000000861
0.0000000861
8,610,000
861,000,000
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The length of a rectangle is 6 cm more than its width. The area of the rectangle is 256 cm,superscript,2,baseline,. Let x represent the width of the rectangle in centimeters. Which equation represents the situation? Answer Options with 4 options A
. 6x,superscript,2,baseline, − 256 = 0 B
. 6x,superscript,2,baseline, + 256 = 0 C.
x ,superscript,2,baseline, − 6x + 256 = 0 D.
x ,superscript,2,baseline, + 6x − 256 = 0
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The equation which represents the situation is:
[tex]x^2+6x-256=0[/tex]
Step-by-step explanation:Let x represent the width of the rectangle in centimeters.
The length of a rectangle is 6 cm more than its width.
This means that the length of the rectangle is: x+6 cm.
Also, we know that the area of a rectangle is the product of the length and width of the rectangle.
Here, the area of the rectangle is 256 cm².
i.e.
[tex]x(x+6)=256\\\\x^2+6x=256\\\\i.e.\\\\x^2+6x-256=0[/tex]
How do I solve for x?
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x = 90 - 96
x = -6
x+96+x+96 = 180
2x + 192 = 180
2x = -12
x = -6
Do not be alarmed that x is negative. Just because x is negative does not mean that the angle is negative!
Hope this helps!
Which three points in the figure are collinear?
a) F, E, G
b) A, B, D
c) E, C, A
d) A, B, C
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To be collinear, it means that the points all fall on the same straight line. In this case, that applies to points F, E and G. This line is not fully contained in the plane and only touches at point E. In contrast, a group of points like A,B,C aren't collinear since they don't fall on the same line. A triangle shown indicates a line isn't possible.
In the figure, the points F, E, and G are collinear. Collinear points are points that lie on the same straight line. The correct option is A).
Point F is clearly on the same straight line as points E and G because it falls directly in line with them, creating a continuous sequence.
It can visualize this by a line passing through points F, E, and G. This line would pass through all three points without any interruption.
No other points in the figure form such a straight-line arrangement with F and G, further confirming that F, E, and G are the collinear points.
In summary, points F, E, and G are collinear because they lie on the same straight line, and no other points in the figure share this property with them.
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finding the domain and range and answering in interval notation.
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The range is [-5,4]
The domain is [-3,2)
The range is [-5,4]
How to get the domain and range of functionsDetermining the domain and range involves analyzing the behavior and restrictions of the function. The domain and range may vary depending on the type of function and any restrictions imposed by the function's definition, such as square roots, division by zero, or logarithms.
Understanding the domain and range is crucial in analyzing and describing the behavior and output of functions in mathematics and various fields where functions are applied.
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Which expression represents the calculation “subtract 10 from 36, then divided by 6”?
A) 6 ч (36 − 10)
B) (36 − 10) ч 6
C) (36 ч 6) − 10
D) (10 − 36) ч 6
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Given the linear equation y=5x+7, fill in the table by choosing values for x, and calculating the corresponding y values. Use integer values for x.
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when x = 1, y = 12 (y = 5*1+7)
when x = 2, y = 17 (y = 5*2+7)
Final answer:
To fill in the table for the equation y=5x+7, integer values for x are chosen and substituted into the equation to find the corresponding y values. The (x, y) pairs are then recorded in the table and can be plotted on a graph.
Explanation:
Filling in a Table for a Linear Equation
To fill in the table for the linear equation y=5x+7, let's choose integer values for x and calculate the corresponding y values. Here's how you do it step by step:
Pick an integer value for x (e.g., -1, 0, 1, 2, etc.).
Substitute this value of x into the equation to solve for y.
Record the (x, y) pair in the table.
For example:
If x = -1, then y = 5(-1)+7 = 2, so the point is (-1, 2).
If x = 0, then y = 5(0)+7 = 7, so the point is (0, 7).
If x = 1, then y = 5(1)+7 = 12, so the point is (1, 12).
If x = 2, then y = 5(2)+7 = 17, so the point is (2, 17).
Remember, the dependence of y on x represents the fact that y changes when x changes, according to the equation of the line. After calculating several points, you can plot these points on a graph, and they should form a straight line because they belong to a linear equation.
3.55 divided by 5=..... tenths divided By 5+......... hundredths divided by 5
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3.55 divided by 5 = 35 tenths divided by 5 + 5 hundredths divided by 5
To solve 3.55 divided by 5 using place values, we can break 3.55 into tenths and hundredths:
3.55 can be written as 3.5 + 0.05.
Tenths: 3.5 = 35 tenths
Hundredths: 0.05 = 5 hundredths
Now, we can write:
3.55 divided by 5 = 35 tenths divided by 5 + 5 hundredths divided by 5
Let's verify.
3.55/ 5 = 0.71
35 tenths /5 = 7 tenths
5 hundredths /5 = 1 hundredths
Adding them: 7 tenths + 1 hundredths = 0.71
Thus, it is verified.
Hence, 3.55 divided by 5 = 35 tenths divided by 5 + 5 hundredths divided by 5
An average person in the United States throws away 4.5 × 10² g of trash per day. In 2013, there were about 3.2×10^6 people in the U.S.
About how many grams of trash was thrown away in the United States in 2013?
Enter your answer in the box.
5.3 × 10^ g
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Answer: 525,600,000,000
Identifytwonumbers,onerationalnumber and one irrational number, that are between 1.4 and 1.6. Include the decimal approximation of the irrational number to the nearest hundredth.
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1.5 is rational
1.58472679422222.... is irrational because it doesn't end
6. Identify an equation that models the situation and find its solution.
It’s going to be Lindsay’s birthday soon, and her friends Mary, Jacqui, Tadeusz, Opal, and
Tony have contributed equal amounts of money to buy her a present. They have $45.00 to
spend between them. Determine how much each contributed.
(1 point)
5y = 45.00; y = $9.00
5y = 45.00; y = $10.00
5 + y = 45.00; y = $39.00
5 + y = 45.00; y = $40.00
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Jeff is saving to purchase a new basketball that will cost at least $88. He has already saved $32. At least 7) Jeff is saving to purchase a new basketball that will cost at least how much more does he need to save for the basketball?
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becs 32*7=224
The cost of the ball is $0.05. This is determined through a simple algebraic calculation that takes into account that the bat costs $1.00 more than the ball and the total cost is $1.10.
The student's question is about solving a simple algebraic problem involving the cost of two items with a given difference in their prices. In the problem statement, a bat and ball cost a combined total of $1.10. The bat costs $1.00 more than the ball.
Let's denote the cost of the ball as x dollars.Consequently, the cost of the bat will be x + $1.00, since it costs one dollar more than the ball.According to the information provided, the combined cost of the ball and bat is $1.10. Therefore, we can write the following equation: x + (x + $1.00) = $1.10.Simplifying this equation: 2x + $1.00 = $1.10.Subtracting $1.00 from both sides of the equation, we get 2x = $0.10.Dividing both sides of the equation by 2, we find that x = $0.05.Therefore, the cost of the ball is $0.05.
325 people were in a tour group. Six buses were completey filled and 7 people chose to walk.How many people did the bus hold?
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318/6=53 people per bus
318/6= 53
Each bus hold 53 people.
Hope this helps!
Write the number 60 as a product of its prime factors in the same way. Write the factors in order, from smallest to largest
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60 = 3 x 2 x 5 x 2
hope this helps
3 x 2 = 6 x 5 = 30 x 2 = 60
What is 485 times 34
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Answer:
1,419 is your answer
3x+4(-4x+4)= -75
Please solve
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Order of operations requires distribution first:
3x+ -16x+16=-75
Then add common terms:
-13x+16=-75
Subtract 16 from both sides:
-13x = -91
Divide by -13 from both sides:
x = 7
Write in slope-intercept form an equation of the line that passes through the given points.
(−1, −1), (1, 5)
Answer: y= ??????
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M = y2-y1 / x2-x1
= 5 - (-1) / 1 - (-1)
= 6 / 2
= 3
Now that you have the slope, we can use the equation of a line which is :
y - y1 = m(x - x1)
Substitute any coordinate.
I'll go with (1, 5)
y - 5 = 3(x - 1)
y - 5 = 3x - 3
y = 3x + 2
And that's the equation in the slope intercept form or y=mx+b.
What the answer to this
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3/3=1
6/3=2
Final answer: 1/2
because we had to divide the [tex]numerator [/tex] from the [tex]denominator [/tex]
But, if you're trying to find what is "[tex]equivalent[/tex]" then your answer would be [tex] \frac{1}{2} [/tex] because, we had to divide the number [tex]3 [/tex] since it goes into both numbers (if that makes since to you)
[tex]Anyhow! [/tex]
Good luck on your assignment and enjoy your day!
~[tex]MeIsKaitlyn:)[/tex]
A fossil is 254 millimeters long. How many meters long is the fossil? Enter your answer, as a decimal, in the box.
The length of a rectangle is one unit shorter than one-sixth of the width, x.
Which expression represents the perimeter of the rectangle?
7/3x−2
7/3x−8
1/3x−2
13x−4
A machine factory produces 2 parts per second. One shift is 10 hours long.
What is the production rate in parts per shift?
Enter your answer in the box.
Answers
254 mm*(1 m/1,000 mm) = 0.254 m
2. The perimeter of a rectangle is equal to
P = 2L + 2W
where
L is the length
W is the width
Since the length of a rectangle is one unit shorter than one-sixth of the width, x, the equation would be
W=x
L = 1/6x - 1
Substituting,
P = 2(1/6x - 1) + 2x
P = 1/3x - 2 + 2x
P = 7/3x - 2
3. The given data is 2 parts per second. To determine the parts per shift, we apply the dimensional analysis approach. The solution is as follows:
(2 parts/second)*(3,600 s/1 h)*(10 h/shift) = 72,000 parts per shift