The problem of '800 m 35 cm - 154 m 49 cm' can be solved by converting everything into the smallest unit, which is centimeters. Once everything is converted, subtracting 15,449 cm from 80,035 cm gives a result of 64,586 cm.
Explanation:To solve the given problem, first convert everything to the same unit. In this case, we will convert everything to centimeters since it's the smaller unit. Remember that 1 meter equals 100 centimeters. Therefore, 800 meters will equal 800 times 100, which equals 80,000 centimeters. Adding the 35 centimeters to this, our total becomes 80,035 centimeters.
Similarly, 154 meters equals 15,400 centimeters. Adding the 49 centimeters to this, we have 15,449 centimeters total.
So the problem becomes 80,035 centimeters - 15,449 centimeters.
Using basic subtraction, we find the result to be 64,586 centimeters.
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what is the measure of jl
4/9x+1/5x=87 what is x
Answer:
The value of x is 135.
Step-by-step explanation:
Given : Expression [tex]\frac{4}{9}x+\frac{1}{5}x=87[/tex]
To find : What is the value of x?
Solution :
Expression [tex]\frac{4}{9}x+\frac{1}{5}x=87[/tex]
Take LCM,
[tex]\frac{4x\times 5+x\times 9}{9\times 5}=87[/tex]
[tex]\frac{20x+9x}{45}=87[/tex]
[tex]\frac{29x}{45}=87[/tex]
[tex]x=\frac{87\times 45}{29}[/tex]
[tex]x=135[/tex]
Therefore, The value of x is 135.
After m months, the height of a plant is 10+3m millimeters. How tall is the plant after 8 months? 3 years?
After 8 months, the plant is 34 millimeters tall, and after 3 years (36 months), it's 118 millimeters tall.
To find the height of the plant after 8 months and 3 years, let's first understand the pattern. The height is given by the equation ( 10 + 3m ), where ( m ) represents the number of months.
Height after 8 months:
Substituting ( m = 8 ) into the equation:
[tex]\( \text{Height} = 10 + 3(8) \)[/tex]
[tex]\( \text{Height} = 10 + 24 \)[/tex]
[tex]\( \text{Height} = 34 \)[/tex] millimeters.
Height after 3 years (36 months):
Substituting ( m = 36 ) into the equation:
[tex]\( \text{Height} = 10 + 3(36) \)[/tex]
[tex]\( \text{Height} = 10 + 108 \)[/tex]
[tex]\( \text{Height} = 118 \)[/tex] millimeters.
So, after 8 months, the plant is 34 millimeters tall, and after 3 years (36 months), it's 118 millimeters tall.
4. An angle of 200° is a/an _______ angle.
Please help, need as soon as possible
The ratio of boys to girls in the school chorus is 3:2. If there are 39 boys in the chorus, how many girls are in the chorus?
A) 36 girls
B) 26 girls
C) 24 girls
D)58 girls
Answer:
The answer is 36 girls because 3:2 is 13x3 which equals 39 and 12x3=36. The ratio is 39 boys to 36 girls.
Not 26 girls.
A pronghorn antelope can travel 105 miles in 3 hours if it continues traveling at the same speed, how far could it travel in 11 hours?
you find average speed with distance/time
average speed is 35 mph
if you multiply is by 11 you get your answer which is 385 miles
Eleanor can drive an average of 374 miles on one tank of gas. How many miles can she drive on 15 tanks of gas?
A customer has six (6) $1 bills, three (3) $5 bills, four (4) $10 bills, seven (7) quarters, ten (10) dimes, seven (7) nickels, and nine (9) pennies. The customer buys a pair of shoes for $49.86. Based on the combination of bills and coins the customer has, what are the least number of bills and coins the customer can give the cashier in order to buy the shoes for the exact amount and not require any change back?
A $1, $5, $10, $20, $50, or $100 bill is mapped to all the sets of coins that are the same as the total value of the bill.
IS THIS SITUATION A FUNCTION OR NOT???
Help me please I need better grades
Find the GCF of 22ab 2 c 2 and 40a 3 c 2.
4a 3b 2c 2
2ab 2c 2
4ac 2
2ac 2
The Greatest Common Factor of 22ab2c2 and 40a3c2 is 2ac2, found by identifying the highest power of each variable and number that divides the coefficients 22 and 40.
Explanation:When finding the Greatest Common Factor (GCF) we need to look for the highest power of each variable and number that appears in all the terms. In the terms 22ab2c2 and 40a3c2, the GCF will consists of the highest power of each variable found in both terms, and the highest number that divides both 22 and 40.
To find the GCF you need to divide both 22 and 40 by common factor. The highest number that divides 22 and 40 is 2. For the variables, the lowest power of 'a' and 'c' in both terms is a and c2, respectively. 'b' is not in both terms, so we omit it. So, the GCF of 22ab2c2 and 40a3c2 is 2ac2.
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How many 4-digit numbers can you write if you cannot use any other digits except 0, 1, and 2?
There are 54 possible 4-digit numbers that can be created using only the digits 0, 1, and 2, considering that the first digit cannot be 0 and each position has a limited selection of digits.
Explanation:To determine the number of 4-digit numbers that can be written using only the digits 0, 1, and 2, we must take into account that a 4-digit number cannot start with 0, which leaves us two choices for the first digit (either 1 or 2). For the subsequent three digits, we have three choices each (0, 1, or 2). Therefore, the total number of 4-digit combinations is obtained by multiplying the number of choices for each digit's position.
The explanation you provided is correct, and the calculation is accurate. There are indeed 54 possible 4-digit numbers that can be created using only the digits 0, 1, and 2, considering the given conditions.
To summarize:
- The first digit has 2 possible choices (1 or 2).
- Each of the next three digits has 3 choices (0, 1, or 2).
So, the total number of 4-digit combinations is obtained by multiplying the number of choices for each digit's position:
\[2 \times 3 \times 3 \times 3 = 54.\]
Therefore, there are 54 possible 4-digit numbers that can be created following the given conditions.
The first digit has 2 possible choices, and each of the other three positions has 3 choices, which gives us a total of:
2 × 3 × 3 × 3 = 54 possible 4-digit numbers using the digits 0, 1, and 2.
Tia kayaked 2400 meters at a constant rate in 1.5 hours on Saturday. On Sunday, she kayaked 200 meters per hour faster. What was Tia’s average rate on Sunday? A. 1600 meters per hour B. 1800 meters per hour C. 2000 meters per hour D. 2200 meters per hour
A.
3
B.
5
C.
15
D.
30
Answer:
1800
Step-by-step explanation:
during a football game, kevin gained 5 yards on the first play. then he lost 7 yards on the second play. how many yard does kevin need on the next play to get the team back to where when they started? show your work.
plz help!
The line segment is reflected about the y-axis to form A'B'. Which statement describes A'B'?
A'B' is half the length of AB.
A'B' and AB are equal in length.
A'B' is greater than twice the length of AB.
A'B' and AB are perpendicular.
What is 45.99 pounds rounded to the nearest tenth of a pound
Justine draws a square with an area of 150 square centimeters. What is the approximate length, in centimeters, of one side of the square? -2 cm -11 cm -12 cm -13 cm
The approximate length is 12 centimeters, of one side of the square which is the correct answer would be an option (C).
What is the square?A square is a closed two-dimensional object with four equal-length sides and all interior angles of exactly 90 degrees.
The diagonal of the square is the distance between two vertices on opposing sides. A square has two diagonals of equal length.
We have been given that Justine draws a square with an area of 150 square centimeters.
The area of the square = (length of the side)²
150 square centimeters = (length of the side)²
Length of the side = √(150)
Length of the side = 12.24744
Rounded the nearest hundredth and we get
Length of the side = 12.24 centimeters
Therefore, the approximate length is 12 centimeters, of one side of the square.
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What is −12÷23 ?
−36
−24
−18
−8
-12 / 23 = -0.52
so none of those are the correct answer.
if the 23 is suppose to be the fraction 2/3
then you have -12 / 2/3 which = -12 * 3/2 = -36/2 = -18
Answer:
hello your answer is -36
Step-by-step explanation:
1. 12 = 12/1 so we keep the first number then2. we change the division sign to times 3. flip the second number 2/3 is turned to 3/2 then multiply so 12/1 x 3/2 is 36/2 hope this helps have a nice day !
How do you write 81/50 as a percentage?
the parabola y=x^2 is shifted up by 4 units
By rigid transformations, the image of the parabola y = x² is equal to parabola y = x² + 4.
How to determine the image of a parabola
In this problem, we need to determine the image of a parabola by means of a rigid transformation known as vertical translation:
y = f(x) → y = f(x) + k, where k represents a translation upwards and f(x) is the original function.
If we know that f(x) = x² and k = 4, then the image of the function is:
f(x) = x² + 4
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SIMPLE QUESTION PLEASE HELP :(
Solve for all roots of the equation. Show all work for full credit. x3 + 216 = 0
1.1 Factoring: x3-216
Theory:
A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0+b3 =
a3+b3
Check: 216 is the cube of 6
Check: x3 is the cube of x1
The solution to the equation x³ + 216 = 0 is x = -6, by subtracting 216 from both sides and taking the cube root.
Explanation:To solve the equation x³ + 216 = 0, you must first isolate the variable on one side of the equation. To do this, we can subtract 216 from both sides, giving us the equation x³ = -216.
Next, to solve for x, we need to take the cube root of -216. The cube root of -216 is -6, so x = -6 is the root of the equation.
In conclusion, the solution to the equation x³ + 216 = 0 is x = -6.
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What's the distributive property for 16+48
What could be the intersection of plane PRS and plane QRS?
A.
RS
←
→
B.
PR
←
→
C.
QS
←
→
D.
The planes need not intersect.
John is calculating 6 % tax on an item in a store. He means to multiply the price of the item by 0.06, but he accidentally divides by 0.06. His answer is
a) correct
b) too small
c) too large
d) undefined
Please help me i need the answer!!
In the year 2005, a total of 750 fish were introduced into a manmade lake. The fish population was expected to grow at a rate of 8.3% each year. What will the fish population be in 2050? Round to the nearest whole number. Enter your answer in the box.
use the subtraction property of equality to complete the following statement if RS + St = RT then RS =
Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average,75% on the test.
Write an inequality that represents the test scores of 60% of his students?
Answer:
[tex]70\leq x\leq 80[/tex]
Step-by-step explanation:
Let x represent the test scores of 60% of his students.
We have been given that Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average,75% on the test.
We will use tolerance formula to solve our given problem.
[tex]|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}[/tex]
[tex]|x-75|\leq5[/tex]
Using rule [tex]|u|\leq a[/tex], then [tex]-a\leq u\leq a[/tex], we will get:
[tex]-5\leq x-75\leq5[/tex]
[tex]-5+75\leq x-75+75\leq5+75[/tex]
[tex]70\leq x\leq 80[/tex]
Therefore, the inequality [tex]70\leq x\leq 80[/tex] represents the test scores of 60% of Mr. Venn's students.
State whether each percent of change is a percent increase or a percent decrease. Then find the percent of increase or decrease . Round to the nearest whole percent
Original : $100
New : $59
a sporting goods manufacturer requires 3/8yd of fabric to make a pair of soccer shorts. how many shorts can be made from 9yds of fabric