dr. Burroughs is measuring the weight of a substance science experiment. He added a mystery substance M to the experiment Dr. Burrows use the equation. 13.93+ M equals 18.0 to find out how much she added
To find out how much substance M was added, we need to solve the equation:
13.93 + M = 18.0
To isolate M, we can subtract 13.93 from both sides of the equation:
M = 18.0 - 13.93
Simplifying the right side:
M = 4.07
Therefore, Dr. Burroughs added 4.07 units of substance M to the experiment.
To find out how much substance M Dr. Burroughs added in the science experiment, you can solve the equation 13.93 + M = 18.0.
Step 1: Start with the equation 13.93 + M = 18.0.
Step 2: Subtract 13.93 from both sides of the equation to isolate the variable M.
13.93 + M - 13.93 = 18.0 - 13.93
M = 4.07
Therefore, Dr. Burroughs added 4.07 units of substance M to the experiment.
To find out how much substance M was added to the experiment, Dr. Burroughs used the equation 13.93 + M = 18.0. Here's how you can solve for the value of M:
1. Start by isolating the variable M on one side of the equation. To do this, subtract 13.93 from both sides of the equation:
13.93 + M - 13.93 = 18.0 - 13.93
M = 4.07
Therefore, Dr. Burroughs added a substance M with a weight of 4.07 to the experiment.
Five times what number +10 equals 20
To solve the equation "Five times what number + 10 equals 20," we can follow these steps:
1. Let's assume the unknown number is represented by the variable 'x.'
2. We can translate the given information into an equation: 5x + 10 = 20.
3. To isolate the variable, we will subtract 10 from both sides of the equation: 5x + 10 - 10 = 20 - 10.
4. Simplifying both sides gives us 5x = 10.
5. Finally, we divide both sides of the equation by 5: 5x/5 = 10/5.
6. Simplifying further yields x = 2.
Therefore, the number in question that satisfies the equation is 2.
Solve for Z
X/5 + 3=2
A. 5
B. -1/5
C. -5
D. 1/5
To solve the equation "X/5 + 3 = 2" for Z:
1. Let's assume the variable Z represents X/5.
2. Substituting Z into the equation, we have Z + 3 = 2.
3. To isolate Z, we can subtract 3 from both sides of the equation: Z + 3 - 3 = 2 - 3.
4. Simplifying both sides gives us Z = -1.
Therefore, Z is equal to -1. However, none of the answer choices provided (A. 5, B. -1/5, C. -5, D. 1/5) match the correct solution.
Then, can you pick the closest one please?
The closest answer choice to the correct solution is B. -1/5. Although it is not an exact match, it is the closest option available.
Find the solution to
Four minus 2X equals 10
To find the solution to "Four minus 2X equals 10," we can follow these steps:
1. Start with the equation: 4 - 2X = 10.
2. To isolate the variable X, subtract 4 from both sides of the equation: 4 - 4 - 2X = 10 - 4.
3. Simplifying both sides gives us -2X = 6.
4. Divide both sides of the equation by -2 to solve for X: (-2X)/(-2) = 6/(-2).
5. Simplifying further yields X = -3.
Therefore, the solution to the equation is X = -3.
Mariah wants to buy as many collectible dolls as possible, for $4.50 each. If she has $75 to spend how many dollars can she buy which equation represents the situation
A. 75d= 4.5
B. D+4.5=75
C. 4.5d=75
D. D/4.5 = 75
The equation that represents the situation is C. 4.5d = 75.
In this equation, 'd' represents the number of collectible dolls that Mariah can buy. The left side of the equation, 4.5d, represents the cost of d dolls at $4.50 each. The right side of the equation, 75, represents the amount of money she has to spend.
By solving this equation, we can find the value of 'd' and determine the number of dolls she can buy.
If Jaylin takes the number of stamps, she has and multiplied by five and then subtract 10 he gets 275. How many stamps does he have?
To find out how many stamps Jaylin has, we can set up the following equation based on the given information:
5x - 10 = 275
Where 'x' represents the number of stamps Jaylin has.
To solve for 'x', we will follow these steps:
1. Add 10 to both sides of the equation:
5x - 10 + 10 = 275 + 10
5x = 285
2. Divide both sides of the equation by 5:
5x/5 = 285/5
x = 57
Therefore, Jaylin has 57 stamps.
Which situation is best represented by the following equation?
40 W +1250 equals 492.50
Nakaya paid $492.50 for ballet class. She paid a three dollar registration fee and a $12.50 each week. She was enrolled in the classes to find the number of weeks Nika was in ballet classes.
The situation best represented by the equation "40W + 1250 = 492.50" is:
Nakaya paid $492.50 for ballet class. She paid a $3 registration fee and $12.50 each week. We need to find the number of weeks Nakaya was in ballet classes.
In this equation, 'W' represents the number of weeks Nakaya was enrolled in ballet class. The left side of the equation, 40W + 1250, represents the total cost Nakaya paid for ballet class, including the registration fee and weekly payments. The right side of the equation, 492.50, represents the total amount Nakaya paid.
By solving this equation, we can find the value of 'W' and determine the number of weeks Nakaya was in ballet classes.
Bella bought boxes of cookies to bring to a party. She decides to keep two boxes each box contains 18 cookies she brings 90 cookies to a party which equation can be used to find the number of boxes be bought how many boxes did she buy?
To find the number of boxes Bella bought, we can set up the following equation based on the given information:
2 * B = 90
Where 'B' represents the number of boxes Bella bought.
To solve for 'B', we will follow these steps:
1. Divide both sides of the equation by 2:
(2 * B) / 2 = 90 / 2
B = 45
Therefore, Bella bought 45 boxes of cookies.
18b-2=90;b=5
2b-18=90;b=54
18b-36=90;b=7
18b-36=90;b=6
These are the options please pick one
From the given options, the equation that correctly represents the situation and the number of boxes Bella bought is:
18b - 36 = 90; b = 6
According to this equation, when we substitute b = 6 into the equation, we can verify its accuracy:
18(6) - 36 = 90
108 - 36 = 90
72 = 90
Since the equation is not satisfied by b = 6, it seems none of the options presented match the correct solution.
Pick the closest one
The closest option to the correct solution is:
18b - 2 = 90; b = 5
While it does not exactly match the given information, it is the closest option available.
Delia Smith $250 to rent a boat for six hours. The rental company charges a base of $150 for the first two hours and then an hourly rate for each additional hour, how much does each additional hour of boat rental cost
To find out the cost of each additional hour of boat rental, we need to subtract the base cost for the first two hours from the total cost of renting the boat for six hours.
Total cost - Base cost = Cost of additional hours
Let's calculate:
$250 (Total cost) - $150 (Base cost for the first two hours) = $100
So, each additional hour of boat rental costs $100.
$20
$17
$67
$25
Pick the closest one
The closest option to the cost of each additional hour of boat rental would be $20.
Solve for y
-1/5y+3=-7
50
-35
15
55
Pick closest answer
To solve for y in the equation "-1/5y + 3 = -7," we can follow these steps:
1. Start with the equation -1/5y + 3 = -7.
2. Subtract 3 from both sides of the equation to isolate the term with y:
-1/5y + 3 - 3 = -7 - 3,
-1/5y = -10.
3. Multiply both sides of the equation by -5 to eliminate the fraction:
(-1/5y)(-5) = -10(-5),
y = 50.
Therefore, the solution to the equation is y = 50.
Darcy and JoJo are decorating cupcakes for a party. Darcy decorates eight cupcakes, which is two more than 1/3 of the cupcakes that JoJo decorates. How many cupcakes does JoJo decorate?
18
Two
30
Three
Pick the closest one
To find out how many cupcakes JoJo decorates, we need to determine the value that satisfies the condition "Darcy decorates eight cupcakes, which is two more than 1/3 of the cupcakes JoJo decorates."
Let's assign a variable 'J' to represent the number of cupcakes JoJo decorates.
The equation that represents the given information is:
8 = (1/3)J + 2
To solve for J, we can follow these steps:
1. Subtract 2 from both sides of the equation:
8 - 2 = (1/3)J + 2 - 2
6 = (1/3)J
2. Multiply both sides of the equation by 3 to eliminate the fraction:
6 * 3 = (1/3)J * 3
18 = J
Therefore, JoJo decorates 18 cupcakes. The closest answer choice is 18.
When multiplying two rational numbers, how is the sign of the product determined?
When multiplying two rational numbers, the sign of the product is determined by the following rule:
If both factors have the same sign (positive or negative), the product will be positive.
If the factors have different signs (one positive and one negative), the product will be negative.
In summary, when multiplying rational numbers, the sign of the product will be positive if the factors have the same sign and negative if the factors have different signs.
Divide -3/17 by -2/3
To divide -3/17 by -2/3, we need to follow the rule of division for fractions:
When dividing fractions, we invert (flip) the second fraction and multiply.
So, let's calculate:
(-3/17) ÷ (-2/3) = (-3/17) * (3/-2)
Now, we can simplify the multiplication:
= (-3 * 3) / (17 * -2)
= -9 / -34
When we have a negative number divided by a negative number, the result is positive. Therefore:
= 9/34
Hence, -3/17 divided by -2/3 equals 9/34.
Find the product
4/7(-20/2)
To find the product (result of multiplication) of 4/7 and (-20/2), we can multiply the numerators together and the denominators together:
(4/7) * (-20/2) = (4 * -20) / (7 * 2)
Simplifying the numerator and denominator:
= -80 / 14
Right away, we can see that both the numerator and denominator are divisible by 2:
= (-80/2) / (14/2)
= -40 / 7
Therefore, the product of 4/7 and (-20/2) is -40/7.
-2/35
5 5/7
-5 5/7
-9 3/7
Answer choices please pick the closest answer
The closest answer to the product of 4/7 and (-20/2) is -9 3/7.
Elevation of the basement floor in the building is -15 feet. The elevation of the roof is 37 feet. What is the distance from the basement floor to the roof?
22 feet
-52 feet
37 feet
52 feet
To find the distance from the basement floor to the roof, we need to find the difference between the elevation of the roof and the elevation of the basement floor.
Given:
Elevation of basement floor = -15 feet
Elevation of roof = 37 feet
To calculate the distance, we subtract the elevation of the basement floor from the elevation of the roof:
37 feet - (-15 feet) = 37 feet + 15 feet = 52 feet
Therefore, the distance from the basement floor to the roof is 52 feet.