Answer:
y=-2x+3
Step-by-step explanation:
How can you write 200,000 using a whole number and a power of 10
Hey!
-----------------------------------
Question Explanation:
In other words you can write 200,00 using a whole number and a power 10 using scientific notation!
In scientific notation you want a number less than 10 multiplied by 10 to the power of a number.
-----------------------------------
Solution:
200,000 / 10 = 20,000
20,000 / 10 = 2,000
2,000 / 10 = 200
200 / 10 = 20
20 / 10 = 2
I divided 200,000 by 10 five times to get a number less than 10.
So, 5 is going to be the exponent.
-----------------------------------
Answer:
2 x 10^5
-----------------------------------
Hope This Helped! Good Luck!
200,000 can be expressed as 2 x 10^5 in scientific notation, which helps to simplify handling of large and small numbers by reducing the number of zeros.
Explanation:To express 200,000 using a whole number and a power of 10, we need to move the decimal place. Start by writing the number as 2 followed by five zeros, or 2,00000. The power of 10 is determined by the number of places we move the decimal. In this case, the decimal is moved 5 places to the left, so we use 10 to the power of 5. Thus, 200,000 can be written as 2 x 105.
This method is known as scientific notation or powers-of-ten notation. It simplifies dealing with very large and small numbers by reducing the number of zeros we have to keep track of. It also makes mathematical operations easier. For instance, when multiplying numbers in this notation, we need to multiply the numbers out front and then add the exponents.
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In the morning, Mary walked 2 1/4 miles
around the park. In the afternoon, she
walked another 5 7/8miles. How many miles
did she walk total?
Answer:
7 1/8 miles.
Step-by-step explanation:
The total number of miles Mary walked is 8 1/8.
Given that, Mary walked [tex]2\frac{1}{4}[/tex] miles around the park. In the afternoon, she walked another [tex]5\frac{7}{8}[/tex] miles
We need to find the total distance walked by Mary.
How to add mixed fractions?Step I: Add the whole numbers together.
Step II: We take L.C.M. of the denominators and change the fractions into like fractions.
Step III: We add the like fractions and express the sum to its simplest form.
Now, [tex]2\frac{1}{4}+5\frac{7}{8}[/tex]=(2+5)(1/4 + 7/8)
=7 (2/8 + 7/8)
=7 9/8
=8 1/8
Therefore, the total number of miles Mary walked is 8 1/8.
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The product of 2.5 and a number minus 4.7 is 10.3
Answer:
2.5(x-4.7)=10.3
Step-by-step explanation:
At the Clam Shack, a large bucket has 25 clams, and a small bucket has 13.
If an order has 214 clams in 10 buckets, how many buckets of each size
make up the order?
Answer:
10 large and 10 small buckets in total.
214 clams in total.
Answer: 7 large 3 small
Step-by-step explanation:
A farmer sells an average of 15 3/5 bushels of corn each day. What integer represents the change in bushels of corn in his inventory after 6 days.
Answer:
A farmer sells an average of 15 3/5 bushels of corn each day.
In mixed fraction it is ;
[tex]\frac{78}{5}[/tex]
Let us say he has a total of x bushels.
So, after 6 days, he will sell, [tex]6\times\frac{78}{5}[/tex] bushels of corn.
= [tex]\frac{468}{5}[/tex] bushels of corn.
Hence, his left over inventory will have = [tex]x-\frac{468}{5}[/tex] bushels.
Consumer price index is an
Answer:
The Consumer Price Index (CPI) is a measure that examines the weighted average of prices of a basket of consumer goods and services, such as transportation, food, and medical care. It is calculated by taking price changes for each item in the predetermined basket of goods and averaging them
2. Circle the numbers that are multiples of 5.
1
11
21
| 31
2
12
22
32
3
13
23
33
4
14
24
34
5
15
25
35
6
16
26
36
7
17
27
37
8
18
28
38
9
19
29
39
10
20
30
40
All the numbers between 30 and 60 that are multiples of 8
Answer:
32,40,48,56
Can u plz give me the brainliest answer?
Have a nice day!!!!! :-)
KA
Name the sets of numbers to which 1.86 belongs
A. Rational numbers, irrational numbers
B. Rational numbers
C. Natural numbers, whole numbers, integers, rational numbers
Answer:B. Rational Numbers
Step-by-step explanation:
Rational numbers can be finished. irrational number go on for infinity ex. pi.
what is the factor of 70
Step-by-step explanation:
70 = 1 · 70
70 = 2 · 35
70 = 5 · 14
70 = 7 · 10
70 = 2 · 5 · 7
Simplify the following expression. 12a^3b^6c^5/3a^2b^4c^5
A. 4ab^2
B. 9ab^2c
C. 9ab^2
D. 4ab^2c
Answer:
A. 4ab^2.
Step-by-Step Explanation.
12 a^3 b^6 c^5 / 3 a^2 b^4 c^5
Dividing each pairs of terms:
12 / 3 = 4.
a^3 / a^2 = a.
b^6 / b^4 = b^2.
c^5 / c^4 = 1.
So it is 4ab^2.
Solve the system of equations below. x − y = 6 3x − 2y = 22
The solution for system of equations x-y=6 ,3 x-2 y=22 is x = 10 and y = 4
Solution:
Using substitution method of algebraic equations,
x - y = 6 --------equation 1
3x - 2y = 22 --------equation 2
Multiplying equation 1 by 2, equation 1 becomes
2 x - 2 y = 12
Multiplying equation 2 by -1, equation 2 becomes,
-3 x + 2 y = -22
Solving,
2 x - 2 y = 12
-3 x + 2 y = -22
-x = -10
x = 10
Substitute x = 10 in equation 1, 10 - y = 6
y = 10 -6
y = 4
Answer:
10,4
Step-by-step explanation:
^^
3
Evaluate x + xy if x=-3, y=10
Answer:
-33
Step-by-step explanation:
So we start out by plugging in the values for x and y which becomes:
-3 + (-3 x 10)
Then we do PEMDAS which tells us to solve the values inside the parentheses first( P in PEMDAS) which becomes:
-3 + -30
A negative number added to another negative number stays negative, giving us the answer:
-33
Community Gym charges a $70 membership fee and a $60 monthly fee. Workout Gym charges a $210 membership fee and a $50 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?
After months the amount paid to both gyms will be $.
Final answer:
After 14 months, the total amount paid to both Community Gym and Workout Gym will be the same, at $910 each.
Explanation:
To determine after how many months the total amount paid to both Community Gym and Workout Gym will be the same, we set up two equations representing the total cost for each gym over time. Let's let x represent the number of months. For Community Gym, the total cost is given by $70 + $60x, and for Workout Gym, it's $210 + $50x.
We set these two expressions equal to find the point where the costs are the same: $70 + $60x = $210 + $50x. Solving for x, we subtract $50x from both sides, getting $70 + $10x = $210. Then, we subtract $70 from both sides to get $10x = $140. Finally, we divide by $10 to find that x equals 14. So, after 14 months, the total cost for both gyms will be the same.
To find out what this total amount will be, we substitute x = 14 back into either gym's total cost equation. Using Community Gym's equation: $70 + $60(14) = $70 + $840 = $910. Therefore, after 14 months, the amount paid to both gyms will be $910.
5.4% of 65 please help.
Answer:
[tex]3.51%[/tex]
Step-by-step explanation:
To find percent of a number, what you have to do is as followed.
Multiply the percent by the number
[tex]5.4 * 65[/tex]
[tex]= 351[/tex]
Divide the answer by 100
3.51
Add percent symbol
3.51%
The value of 5.4% of 65 is 3.51.
What is percentage?This is the amount, number or rate of something, regarded as part of a total of 100. For instance,
20% of 100 equals 20
5% of 50 equals 2.5
So,
5.4% of 65
= 5.4/100 × 65
= 0.054 × 65
= 3.51
In conclusion, 5.4% of 65 equals 3.51
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wally’s pastry shop baked the following numbers of cookies each week:
week 1: 1850
week 2: 1500
week 3: 1475
week 4: 1700
week 5: 1650
week 6: 1800
what is the range of the data?
Answer:
Range is 375, i have seen this one before.
Step-by-step explanation:
Take the largets value and subtract the smallest value from it to find the range.
A label printer prints 7 pages of labels in 1.9 seconds. How long will it take to print 406 pages of labels
Answer: 110.2 seconds
Step-by-step explanation:
Divide 1.9 by 7. That gets you 0.271428571428571. Then multiply that by 406. That in turn gets you 110.2 seconds. Alternatively, you could divide 406 by 7 and then multiply that answer by 1.9 to get the same answer.
Answer:
It's 771.4
Step-by-step explanation:
Did I do this right or not?
Answer:
No
Step-by-step explanation:
[tex][x - 5][3x - 2] \\ \\ 3 {x}^{2} - 17x + 10[/tex]
F - Multiply the first terms in each set of parentheses FARTHEST TO THE LEFT
O - Multiply the first term in the first set of parentheses FARTHEST TO THE LEFT by the last term in the second set of parentheses FARTHEST TO THE RIGHT
I - Multiply the last term in the first set of parentheses FARTHEST TO THE RIGHT by the first term in the second set of parentheses FARTHEST TO THE LEFT
L - Multiply the last terms in each set of parentheses FARTHEST TO THE RIGHT
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what is an equation of the line that passes through the point(-2,1) and is parallel to the line whose equation is 4x-2y=8?
Answer:
Step-by-step explanation:
ANS:
y = 2x − 5 y = mx + b
−1 = 2(2) + b
−5 = b
Determine if the statement is always, sometimes or never true.
An exterior angle of a triangle is 180 degrees.
always
sometimes
never
Answer: It is always.
Step-by-step explanation: In an obtuse angle in a triangle, it will range from 90 degrees to 180, but that angle has to connect to the other two angles (and the other two angles plus the obtuse angle will always be 180 degrees).
Answer:
always
Step-by-step explanation:
If A = (0,0) and B = (8, 2), what is the length of AB?
Answer:
2√17
Step-by-step explanation:
√((8 - 0)² + (2 - 0)²)
√(64 + 4)
√68
2√17
The length of segment AB, where A = (0,0) and B = (8, 2), is calculated using the distance formula, resulting in a length of AB is √68.
To calculate the length of segment AB where A = (0,0) and B = (8, 2), we can use the distance formula derived from the Pythagorean theorem. The distance formula for two points A(x1, y1) and B(x2, y2) in a coordinate plane is the square root of the sum of the squares of differences between corresponding coordinates:
Distance AB = √[(x2 - x1)² + (y2 - y1)²]
Plugging in the coordinates of points A and B, we get:
Distance AB = √[(8 - 0)² + (2 - 0)²] = √[64 + 4] = √68
Therefore, the length of AB is √68, which is the exact length of the segment AB between points A and B.
3t − 2t + 2 = 9
t =
Answer:
t = 7
Step-by-step explanation:
Combine like terms
3t - 2t + 2 = 9
t + 2 = 9
Move the variable
t + 2 = 9
- 2 -2
t = 7
Answer:t=7
Step-by-step explanation:
Combine like terms
3t-2t+2=9
t+2=9
Subtract both sides with 2
t+2-2=9-2
t=7
the two lines graphed below are not parallel. how many solutions are there to the system of equations
Answer:
Step-by-step explanation:
the system of equations are : one solution or infinity
Linda planned to spend 9 hours practicing piano this week. By Tuesday, she had spent 2 1/2 hours practicing. How much longer does she need to practice to reach her goal?
Answer:
[tex]6\frac{1}{2}[/tex] hours more.
Step-by-step explanation:
We have been given that Linda planned to spend 9 hours practicing piano this week. By Tuesday, she had spent 2 1/2 hours practicing.
To find number of hours Linda needs to practice to reach her goal, we will subtract 2 1/2 from 9 as:
[tex]9-2\frac{1}{2}[/tex]
Convert mixed fraction into improper fraction:
[tex]2\frac{1}{2}\Rightarrow \frac{2\times 2+1}{2}=\frac{4+1}{2}=\frac{5}{2}[/tex]
[tex]9-2\frac{1}{2}\Rightarrow 9-\frac{5}{2}[/tex]
[tex]\frac{9*2}{2}-\frac{5}{2}[/tex]
[tex]\frac{18}{2}-\frac{5}{2}[/tex]
Combine numerators:
[tex]\frac{18-5}{2}[/tex]
[tex]\frac{13}{2}[/tex]
[tex]6\frac{1}{2}[/tex]
Therefore, Linda needs to practice [tex]6\frac{1}{2}[/tex] hours more to reach her goal.
Linda needs to practice for 7 hours and 30 minutes more to reach her 9-hour goal. She's already practiced for 2 1/2 hours, so subtracting this from the total planned practice time of 9 hours gives us the remaining time needed.
Explanation:Linda planned to spend a total of 9 hours practicing piano this week. By Tuesday, she had already spent 2 1/2 hours on her practice. To find out how much more time she needs to practice to reach her goal, we subtract the time she has already practiced from the total planned practice time.
Here's the step-by-step calculation:
Write down the total number of hours planned for practice: 9 hours.
Write down the number of hours already practiced: 2 1/2 hours.
Convert the 1/2 hour into minutes to make the subtraction easier: 2 hours + 30 minutes.
Now subtract the hours and minutes separately: (9 hours - 2 hours) = 7 hours. Then subtract the minutes, but since there are no minutes in 9 hours, it remains the same: 30 minutes.
So, Linda needs to practice for 7 hours and 30 minutes more to reach her 9-hour goal.
Solve for x. 5x - [3x + 4(x - 2)] = 9x - [4x + 5x + 10]
Answer:
all work is shown and pictured
A coffee mixture has beans that sell for $0.20 a pound and beans that sell for $0.68. If 120 pounds of beans create a mixture worth $0.54 a pound, how much of each bean is used? Model the scenario then solve it. Then, in two or more sentences explain whether your solution is or is not reasonable.
Plz give me a step by step answer i need to figure this out.
Answer:
Step-by-step explanation:
$ 0.68 type →85lb
$ 0.20 type →35lb
Hey!
-----------------------------------------------
Let $0.68 per pound beans be (b)
Let $0.20 per pound beans be (p)
-----------------------------------------------
~Total amount of pounds:
b + p = 120
~Total cost
b + p = 120 × 0.54
b + p = 64.8
~Expression
0.68b + 0.20p = 64.8
~Multiply 10 to both sides
0.68b * 10 + 0.20p * 10 = 64.8 * 10
~Simplify
6.8b + 2p = 648
~Divide 2 to both sides
6.8b/2 + 2p/2 = 648/2
~Simplify
3.4b + p = 324
~Subtract
3.4b + p = 324
- b + p = 120
~Simplify
2.4b = 204
~Divide 2.4 to both sides
2.4b/2.4 = 204/2.4
~Value of b
b = 85
~New expression
85 + p = 120
~Subtract 85 to both sides
85 + p - 85 = 120 - 85
~Value of p
p = 35
-----------------------------------------------
[tex]\large\boxed{Of~the~0.68~dollars~per~pound~there~are~85~pounds!}\\\large\boxed{Of~the~0.20~dollars~per~pound~there~are~35~pounds!}[/tex]
-----------------------------------------------
My answer is reasonable because 85 + 35 equals 120 pounds.
~If we check
85 * 0.68 = 57.8
35 * 0.2 = 7
57.8 + 7 = 64.8
We get 64.8 which we can say it is correct because if we go back into our work we can see that we used the expression b + p = 64.8 which in this case by checking our work our answer is reasonable.
-----------------------------------------------
Hope This Helped! Good Luck!
Find the domain of the function.
x + 6 >= 0
x >= -6
Choice B is the answer.
Do you know why?
What is the slope of the line that passes through the points (−4,4) and
(−6,6)? Write your answer in simplest form.
Answer:-1
Step-by-step explanation:
The slope of the line passing through the points (-4,4) and (-6,6) can be calculated using the formula for slope (m = (y2 - y1)/(x2 - x1)). Substituting the provided points into the formula gives m = 2/-2 = -1. Thus, the slope is -1.
Explanation:To determine the slope of a line passing through the two points (-4,4) and (-6,6), we use the following formula for calculating slope, often associated with the letter 'm':
m = (y2 - y1)/(x2 - x1)
Where x1, y1, x2, and y2 are the coordinates of the points the line passes through. In this case, (x1, y1) is (-4,4) and (x2, y2) is (-6,6).
Substitute
these values into the formula:
m = (6 - 4) / (-6 - -4)
this gives us:
m = 2/-2 = -1
So, the slope of the line passing through the points (-4,4) and (-6,6) is -1.
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Nick bought a music player. The price was $172, and the sales tax rate was 7 percent. How much sales tax did Nick pay when he bought the
music player?
A.
$7.20
B. $12.04
C.
$12.45
Answer:
B
Step-by-step explanation:
7% of 172 is 12.04
which is the quotient (3x^2+8x-3)÷(x+3)?
a) 3x+5, r=1
b) 3x-5
c) 3x+1
d) 3x-1
Answer:
d) 3x - 1
Step-by-step explanation:
Since the divisor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOSITE terms of what it really is, so do not forget it. Anyway, here is how it is done:
-3| 3 8 -3
↓ -9 3
__________________
3 -1 0 → 3x - 1
You start by placing the c in the top left corner, then list all the coefficients of your dividend [3x² + 8x - 3]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is, tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 3 in your quotient can be a 3x, then -1 follows right behind it.
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