A popular chain of superstores made 3.0479×10^8 dollars in profit last year. One particular store in the chain made 2.102×10^6 dollars in profit last year.
How many times greater is the profit made by the entire chain last year than by this particular store?
Drag and drop the values into the boxes to represent the answer in scientific notation.
What is the simplified expression for ?
5^-3 = 0.008
2^2 = 4
5^6 = 15625
0.008*4*15625 = 500
2^3 = 8
5^2 = 25
25*8 = 200
500/200 = 5/2 = 2 1/2
A video game system and several games are sold for $ 576 The cost of the games is 3 times as much as the cost of the system. Find the cost of the system and the cost of the games.
The cost of the video game system is $144 and the cost of the games is $432.
Determining the costs of the video game system and the games:
Let the cost of the video game system be x, and the cost of the games be 3x since the games cost 3 times as much as the system.
The total cost is $576, so we can set up the following equation:
x + 3x = 576
Combining like terms:
4x = 576
Solving for x:
x = 576/4
x = 144
Now, we find the cost of the games:
The cost of the system is x = 144 dollars.
The cost of the games is 3x = 3 × 144 = 432 dollars.
Change 88 feet per second to miles per hour
For a triangle. Find the measure of angle 1 when the other 2 angles are 117 and 33.
A. 30°
B. 33°
C. 57°
D. 63°
Answer:
It is 30 exactly um. yes or no
PLEASE HELP!!!
What is 7.8×105 hours in days?
A)1.872×10^4 days
B)3.250×10^6 days
C)1.872×10^8 days
D)3.250×10^4 days
Answer:
D) 3.250×10^4 days
Step-by-step explanation:
You know there are 24 hours in a day, so the number of hours must be divided by the hours per day to find the number of days:
(7.8×10⁵ h)/(2.4×10¹ h/da) = (7.8/2.4)×10⁵⁻¹ da = 3.250×10⁴ da
Answer:
PLEASE HELP!!!
What is 7.8×105 hours in days?
A)1.872×10^4 days
B)3.250×10^6 days
C)1.872×10^8 days
D)3.250×10^4 days
Step-by-step explanation:
Suppose a population of 250 crickets doubles in size every 3 months. How many crickets will there be after 2 years?
Solve 2x+y=72x+y=7 for yy.
Answer:
The solution for [tex]\(y\)[/tex] in terms of [tex]\(x\)[/tex] is [tex]\(y = 7 - 2x\).[/tex]
Explanation:
To solve the equation [tex]\(2x + y = 7\)[/tex] for [tex]\(y\)[/tex], we isolate [tex]\(y\)[/tex] by moving [tex]\(2x\)[/tex] to the other side of the equation. Subtracting [tex]\(2x\)[/tex] from both sides gives [tex]\(y = 7 - 2x\).[/tex]This expression represents [tex]\(y\)[/tex] in terms of [tex]\(x\)[/tex], indicating that [tex]\(y\)[/tex] is equal to [tex]\(7\)[/tex]minus twice the value of [tex]\(x\)[/tex]. Thus, for any given value of [tex]\(x\)[/tex], we can find the corresponding value of [tex]\(y\)[/tex] using this equation.
To solve the system of equations [tex]\(2x + y = 7\) for \(y\)[/tex], you can follow these steps:
1. Subtract [tex]\(2x\)[/tex] from both sides of the equation:
[tex]\[y = 7 - 2x\][/tex]
So, the solution for [tex]\(y\)[/tex] in terms of [tex]\(x\)[/tex] is [tex]\(y = 7 - 2x\).[/tex]
In the diagram which of the following segments is congruent to segment AB
To identify a segment congruent to segment AB based on the scenarios provided, one should look for shared lengths or properties of geometric figures that indicate congruence such as equal markings or vector properties.
Explanation:The question appears to be discussing congruent segments within geometrical diagrams, likely in the context of triangles or vectors. In geometric terms, congruent segments are segments that have the same length. From the information provided, several scenarios involving congruent segments are described. For example, when two triangles within different mediums share a segment, such as AB', or when judgment is required to determine congruence, as in Asch's conformity study.
In order to determine which segment is congruent to segment AB without the accompanying diagram, one would need to look for indications of shared lengths, parallel lines, or properties of similar triangles or figures. Typically, one would look for notation such as 'equals' marks on the segments or use the properties of the specific geometric shapes given (like the properties of triangles or the rules pertaining to vectors) to identify congruent segments.
In the diagram, segment AB is congruent to the segment on the surface AB' which is shared by both the triangle ABB' and AA'B'.
Explanation:In the given diagram, segment AB is congruent to the segment on the surface AB', which is shared by both the triangle ABB' inside medium 1 and the triangle AA'B' inside medium 2. This is because the angles
What are the intercepts of 7x+2y-14z=56
Why is it not reasonable to say that 4.23 is less Than 4.135 because 4.23 Has fewer Digits After The decimal Point Than 41.35?
A jar contains 10 red marbles and 30 blue marbles. what is the probability of randomly selecting a red marble from the jar?
Answer:
10/40
Step-by-step explanation:
There are 10 red marbles out of a total of 40 marbles.
10 red marbles + 30 blue marbles = 40 total marbles.
If you are required to reduce fractions, then it would be 1/4
Suppose that PR= 47. Solve for x and find the length of segments PQ and QR
what the value of the expression? (11 - 4) x (6 + 5)
Becky bought seven more packages of dried apples than dried apricots. If she bought fifteen of these two fruits all together, how many of each did she buy.
Becky bought 6 dried apples and 4 dried apricots if Becky bought seven more packages of dried apples than dried apricots. If she bought fifteen of these two fruits altogether.
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:
Becky bought seven more packages of dried apples than dried apricots.
Let x be the number of dried apples
Let y be the number of dried apricots
x = y + 7
She bought fifteen of these two fruits all together
x + y = 15
The above two equation represents the linear equation in two variables, solving the linear equation in two variables by the substitution method:
y + 7 + y = 15
2y = 15 - 7
2y = 8
y = 8/2
y = 4
x = 4 + 2 = 6
Thus, Becky bought 6 dried apples and 4 dried apricots if Becky bought seven more packages of dried apples than dried apricots. If she bought fifteen of these two fruits altogether.
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Jose Rodriguez's checking account had a starting balance of $1,234.56. He wrote a check for $115.12 for plumbing supplies and a check for $225.00 for a loan payment. Yesterday he deposited $96.75 in his checking account. What is Jose's current balance? A. $1,441.19 B. $1,477.93 C. $894.44 D. $991.19
Answer:
D. $991.19
Step-by-step explanation:
He starts with $1,234.56 in his account. He has to pay for plumbing supplies, so he writes a check for $115.12 and we have to subtract that amount from his account.
Now he has $1,234.56 - $115.12 = $1,119.44
After that, he has to pay a loan so he writes a check for $225.00.
Now he has $1,119.44 - $225.00 = $894.44
Finally, he deposits $96.75 in his account, so we have to add that amount to the amount he had before.
That's $894.44 + $96.75 = $991.19
The difference of a number x and 1/2
The required equation is x - 1/2 .
It is required to find the equation.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Given:
According to given question we have,
The difference of a number x and 1/2 is
x - 1/2
Therefore, the required equation is x - 1/2 .
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25 POINTS!!!!!!!!!!!!!!!!!! PLEASE HELP!!!!!!!!!!!!!!!!!!!
Write the range of the function given in the graph in interval notation.
a. [-4,8]
b. (-4,3)∪(3,8)
c. (-4,8)
d. (-4,3)∪(3,8)
To find the range of a function in a graph, observe the y-values the function reaches, from the lowest to the highest. The range given in interval notation represents these y-values. Without the actual graph, an exact answer can't be given in this case.
Explanation:Without a given graph, we cannot discern the correct answer. However, we can still explain how to determine the range of a function given its graph. Starting from the far left of the graph and moving to the far right, the range of the function is the set of all y-values the function takes on. For example, in interval notation, [-4, 8] means the graph starts at least as low as -4 on the y-axis and goes up to at least 8 (including these endpoints). (-4, 3)∪(3, 8) implies that the graph starts at least as low as -4 and goes up to just before 3, and then there is a jump or hole at y = 3, then continues to go up to 8. Without the graph, we cannot determine the exactly right choice from the options provided.
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Store employees are handing out coupons. Every 10th customer gets a $1 coupon. Every 12th customer gets a $2 coupon. Which customer is the first to receive both coupons?
Tanya’s swim club increased their $29 membership fee by $6 a year. What is the approximate percent increase in the membership fee?
A.The approximate percent increase was 20%.
B.The approximate percent increase was 26%.
C.The approximate percent increase was 82%.
D.The approximate percent increase was 120%.
The approximate percent increase in Tanya’s swim club is 20%. Option A is correct.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %.
Given that Tanya’s swim club increased its $29 membership fee by $6 a year.
Tanya's increased fee is,
Fee = 29 + 6 = $35
Percentage increase = 32 / 29 = 1.20 or 20% increase
Therefore, the approximate percent increase in Tanya’s swim club is 20%. Option A is correct.
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What are the prime factors of 63 in ascending order
Please help me!!! <3
Answers are included!! ✌✿☯
9x+4 +32 = 90
9x+36 = 90
9x=54
x = 54/9 = 6
x = 6
A car rents for $35 per day plus 21 cents¢ per mile. if x represents the number of miles jorge drives per day, 35 plus+0.21x represents the cost of the rental. if jorge has $98 to spend for the daily car rental, what is the maximum number of miles he can travel per day
Final answer:
With a daily budget of $98 for car rental, where the rental costs $35 per day plus 21 cents per mile, Jorge can drive a maximum of 300 miles per day.
Explanation:
If Jorge has $98 to spend for the daily car rental, where the cost comprises a fixed charge of $35 and 21 cents per mile, we use the equation 35 + 0.21x = 98 to find the maximum number of miles he can travel per day, with x representing the number of miles. Subtracting 35 from both sides of the equation gives us 0.21x = 63. Dividing both sides by 0.21 yields x = 300. Therefore, Jorge can drive a maximum of 300 miles per day within his budget.
Which of the following is a conditional statement?
I must pay all my bills on time each month.
I work to earn money.
When I save money, I have enough money to cover emergencies.
Emergencies cost money.
A conditional statement establishes a condition between two statements - if the first is true, the second is also true. In the provided examples, 'When I save money, I have enough money to cover emergencies' is a conditional statement. It suggests that saving money leads to having enough for emergencies, a classic 'if-then' setup.
Explanation:In the context of logic and reasoning, a conditional statement is an if-then statement. It is a type of logical statement that establishes a condition between two statements, such that if the first statement (the 'if' part) is true, then the second statement (the 'then' part) is also true.
Out of the examples provided in the question, 'When I save money, I have enough money to cover emergencies' is a conditional statement. This is because it suggests a condition where the act of saving money results in having enough money for emergencies. If the action (saving money) is true, then the result (having money for emergencies) is also true.
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How to find the domain and range of a function
If 60% of some number is equal to 264, what is the total number
How do you solve this ?
width = w
length = w+8
perimieter = 256 feet
formla for perimeter is p=2L+2w
so you have: 256 =2(w+8) +2w =
256 = 2w+16 +2w
256= 4w+16
240=4w
w=240/4 = 60
width is 60 feet
length = 60+8 = 68 feet
Write the equation of the line that is parallel to 2x=1-3y and passes through (9,4).
The relationship between parallel lines is that they have the same slope. The equation of the line that is parallel to [tex]2x = 1 - 3y[/tex] and passes through (9,4) is [tex]y=\frac 23x -2[/tex]
Given that:
[tex]2x = 1 - 3y[/tex]
First, we make y the subject
[tex]2x - 1 = 3y[/tex]
Divide both sides by 3
[tex]y = \frac 23x - \frac 13[/tex]
A linear equation is represented as:
[tex]y = mx + b[/tex]
Where:
[tex]m \to slope[/tex]
So, by comparison:
[tex]m = \frac 23[/tex]
Parallel lines have the same slope.
So the slope of the line that passes through (9,4) is [tex]m = \frac 23[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where:
[tex]m = \frac 23[/tex]
[tex](x_1,y_1) = (9,4)[/tex]
So, the equation becomes:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = \frac 23(x - 9) + 4[/tex]
Expand
[tex]y = \frac 23x - 2 \times 3+ 4[/tex]
[tex]y=\frac 23x - 6 + 4[/tex]
[tex]y=\frac 23x -2[/tex]
Hence, the equation of the line that is parallel to [tex]2x = 1 - 3y[/tex] and passes through (9,4) is [tex]y=\frac 23x -2[/tex]
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How to check if something is an eigenvalue of a matrix?
Find the supplement of an angle whose measure is 74 degrees and 51 minutes
Final answer:
The supplement of an angle measuring 74 degrees and 51 minutes is 105 degrees and 9 minutes. This is calculated by subtracting the given angle from 180 degrees, and borrowing if necessary when subtracting minutes.
Explanation:
To find the supplement of an angle whose measure is 74 degrees and 51 minutes, we need to subtract this angle from 180 degrees. One degree has 60 minutes, so if the subtraction of minutes goes below zero, we need to borrow 1 degree (which is equivalent to 60 minutes).
Step-by-Step Solution
Start with 180 degrees 0 minutes.
Subtract the given angle, which is 74 degrees 51 minutes, from 180 degrees 0 minutes.
If the minutes part of the subtraction is negative, borrow 60 minutes from the degrees.
By subtracting the given angle from 180 degrees, we have: 180° 0' - 74° 51' = 105 degrees and 9 minutes (because we borrow one degree to make up 60 minutes).
So, the supplement of the angle is 105 degrees and 9 minutes.