To solve for m, we need to isolate m on one side of the equation.
To isolate m, we can divide both sides of the equation by -7:
-7m/-7 = 42/-7
Simplifying, we get:
m = -6
So, the solution to the equation -7m = 42 is m = -6.
-7m=42
solve for m
51 answers
k/-2 =-10
solve for k
solve for k
To solve for k, we need to isolate k on one side of the equation.
To isolate k, we can multiply both sides of the equation by -2:
(-2)(k/-2) = (-2)(-10)
Simplifying, we get:
k = 20
So, the solution to the equation k/-2 = -10 is k = 20.
To isolate k, we can multiply both sides of the equation by -2:
(-2)(k/-2) = (-2)(-10)
Simplifying, we get:
k = 20
So, the solution to the equation k/-2 = -10 is k = 20.
5y-10=-25
solve for y
solve for y
To solve for y, we need to isolate y on one side of the equation.
First, we can start by getting rid of the constant term (-10) by adding 10 to both sides of the equation:
5y - 10 + 10 = -25 + 10
Simplifying, we get:
5y = -15
Next, we divide both sides of the equation by 5 to isolate y:
(5y)/5 = (-15)/5
Simplifying, we get:
y = -3
So, the solution to the equation 5y - 10 = -25 is y = -3.
First, we can start by getting rid of the constant term (-10) by adding 10 to both sides of the equation:
5y - 10 + 10 = -25 + 10
Simplifying, we get:
5y = -15
Next, we divide both sides of the equation by 5 to isolate y:
(5y)/5 = (-15)/5
Simplifying, we get:
y = -3
So, the solution to the equation 5y - 10 = -25 is y = -3.
-3x+4=-8
solve for x
solve for x
To solve for x, we need to isolate x on one side of the equation.
First, we can start by getting rid of the constant term (4) by subtracting 4 from both sides of the equation:
-3x + 4 - 4 = -8 - 4
Simplifying, we get:
-3x = -12
Next, we divide both sides of the equation by -3 to isolate x:
(-3x)/(-3) = (-12)/(-3)
Simplifying, we get:
x = 4
So, the solution to the equation -3x + 4 = -8 is x = 4.
First, we can start by getting rid of the constant term (4) by subtracting 4 from both sides of the equation:
-3x + 4 - 4 = -8 - 4
Simplifying, we get:
-3x = -12
Next, we divide both sides of the equation by -3 to isolate x:
(-3x)/(-3) = (-12)/(-3)
Simplifying, we get:
x = 4
So, the solution to the equation -3x + 4 = -8 is x = 4.
-0.1w+23.2=-0.8
solve for w
solve for w
To solve for w, we need to isolate w on one side of the equation.
First, we can start by getting rid of the constant term (23.2) by subtracting 23.2 from both sides of the equation:
-0.1w + 23.2 - 23.2 = -0.8 - 23.2
Simplifying, we get:
-0.1w = -24
Next, we divide both sides of the equation by -0.1 to isolate w:
(-0.1w)/(-0.1) = (-24)/(-0.1)
Simplifying, we get:
w = 240
So, the solution to the equation -0.1w + 23.2 = -0.8 is w = 240.
First, we can start by getting rid of the constant term (23.2) by subtracting 23.2 from both sides of the equation:
-0.1w + 23.2 - 23.2 = -0.8 - 23.2
Simplifying, we get:
-0.1w = -24
Next, we divide both sides of the equation by -0.1 to isolate w:
(-0.1w)/(-0.1) = (-24)/(-0.1)
Simplifying, we get:
w = 240
So, the solution to the equation -0.1w + 23.2 = -0.8 is w = 240.
m/10-12=-24
what is the first operation used in solving this equation
what is the first operation used in solving this equation
The first operation used in solving this equation is addition.
To solve the equation, we would start by adding 12 to both sides of the equation to get rid of the -12 term:
m/10 - 12 + 12 = -24 + 12
This simplifies to:
m/10 = -12
Then, we would proceed with subsequent operations to isolate m and solve for its value.
To solve the equation, we would start by adding 12 to both sides of the equation to get rid of the -12 term:
m/10 - 12 + 12 = -24 + 12
This simplifies to:
m/10 = -12
Then, we would proceed with subsequent operations to isolate m and solve for its value.
Cody has 22 rare coins. Each year Clark plans to add 15 coins to his collection. How many years will it take Cody to collect 577 coins?
To find the number of years it will take Cody to collect 577 coins, we need to determine the number of years it takes for him to go from his current collection of 22 coins to 577 coins.
Let's set up the equation:
22 + 15x = 577
Where x represents the number of years.
To solve for x, we need to isolate x on one side of the equation. We can start by subtracting 22 from both sides:
22 + 15x - 22 = 577 - 22
This simplifies to:
15x = 555
Next, we divide both sides of the equation by 15:
15x/15 = 555/15
This simplifies to:
x = 37
Therefore, it will take Cody 37 years to collect 577 coins.
Let's set up the equation:
22 + 15x = 577
Where x represents the number of years.
To solve for x, we need to isolate x on one side of the equation. We can start by subtracting 22 from both sides:
22 + 15x - 22 = 577 - 22
This simplifies to:
15x = 555
Next, we divide both sides of the equation by 15:
15x/15 = 555/15
This simplifies to:
x = 37
Therefore, it will take Cody 37 years to collect 577 coins.
the answer to question 8
Tom is given the equation 10x+15=20. He says the solution is 1/2. which reason justifies his solution?
is : "Tom says that to solve the equation you first subtract 15 and then divide by 10."
Tom is given the equation 10x+15=20. He says the solution is 1/2. which reason justifies his solution?
is : "Tom says that to solve the equation you first subtract 15 and then divide by 10."
The reason "Tom says that to solve the equation you first subtract 15 and then divide by 10" justifies his solution is correct.
Let's apply the steps Tom mentioned to solve the equation:
Given equation: 10x + 15 = 20
Subtracting 15 from both sides of the equation:
10x + 15 - 15 = 20 - 15
Simplifying, we get:
10x = 5
Finally, dividing both sides of the equation by 10:
(10x)/10 = 5/10
Simplifying, we get:
x = 1/2
Therefore, Tom is correct, and the solution to the equation 10x + 15 = 20 is indeed x = 1/2.
Let's apply the steps Tom mentioned to solve the equation:
Given equation: 10x + 15 = 20
Subtracting 15 from both sides of the equation:
10x + 15 - 15 = 20 - 15
Simplifying, we get:
10x = 5
Finally, dividing both sides of the equation by 10:
(10x)/10 = 5/10
Simplifying, we get:
x = 1/2
Therefore, Tom is correct, and the solution to the equation 10x + 15 = 20 is indeed x = 1/2.
Dr. Burrows is measuring the weight of a substance for a science experiment. he added a mystery substance (m) to his experiment. Dr. Burrows used the equation 13.93+m=18.0 to find out how much he added. How much of the mystery substance (m) did he add to his experiment?
To find out how much of the mystery substance (m) Dr. Burrows added to his experiment, we need to isolate m on one side of the equation.
Given equation: 13.93 + m = 18.0
To isolate m, we can subtract 13.93 from both sides of the equation:
13.93 + m - 13.93 = 18.0 - 13.93
Simplifying, we get:
m = 4.07
Therefore, Dr. Burrows added 4.07 units of the mystery substance (m) to his experiment.
Given equation: 13.93 + m = 18.0
To isolate m, we can subtract 13.93 from both sides of the equation:
13.93 + m - 13.93 = 18.0 - 13.93
Simplifying, we get:
m = 4.07
Therefore, Dr. Burrows added 4.07 units of the mystery substance (m) to his experiment.
five times what number plus 10 equals 20
To solve this equation, we need to let the number be represented by a variable. Let's use the variable x.
The equation "five times what number plus 10 equals 20" can be written as:
5x + 10 = 20
To solve for x, we will isolate x on one side of the equation.
First, we can subtract 10 from both sides of the equation:
5x + 10 - 10 = 20 - 10
Simplifying, we get:
5x = 10
Next, we divide both sides of the equation by 5:
5x/5 = 10/5
Simplifying, we get:
x = 2
Therefore, the number is 2.
The equation "five times what number plus 10 equals 20" can be written as:
5x + 10 = 20
To solve for x, we will isolate x on one side of the equation.
First, we can subtract 10 from both sides of the equation:
5x + 10 - 10 = 20 - 10
Simplifying, we get:
5x = 10
Next, we divide both sides of the equation by 5:
5x/5 = 10/5
Simplifying, we get:
x = 2
Therefore, the number is 2.
z/5+3=2
solve for z
solve for z
To solve for z, we need to isolate z on one side of the equation.
Given equation: z/5 + 3 = 2
First, we can subtract 3 from both sides of the equation:
z/5 + 3 - 3 = 2 - 3
Simplifying, we get:
z/5 = -1
Next, we can multiply both sides of the equation by 5 to get rid of the fraction:
(z/5) * 5 = -1 * 5
Simplifying, we get:
z = -5
Therefore, the solution to the equation z/5 + 3 = 2 is z = -5.
Given equation: z/5 + 3 = 2
First, we can subtract 3 from both sides of the equation:
z/5 + 3 - 3 = 2 - 3
Simplifying, we get:
z/5 = -1
Next, we can multiply both sides of the equation by 5 to get rid of the fraction:
(z/5) * 5 = -1 * 5
Simplifying, we get:
z = -5
Therefore, the solution to the equation z/5 + 3 = 2 is z = -5.
4-2x=10
To solve for x, we need to isolate x on one side of the equation.
Given equation: 4 - 2x = 10
First, we can subtract 4 from both sides of the equation:
4 - 2x - 4 = 10 - 4
Simplifying, we get:
-2x = 6
Next, we can divide both sides of the equation by -2 to isolate x:
(-2x)/(-2) = 6/(-2)
Simplifying, we get:
x = -3
Therefore, the solution to the equation 4 - 2x = 10 is x = -3.
Given equation: 4 - 2x = 10
First, we can subtract 4 from both sides of the equation:
4 - 2x - 4 = 10 - 4
Simplifying, we get:
-2x = 6
Next, we can divide both sides of the equation by -2 to isolate x:
(-2x)/(-2) = 6/(-2)
Simplifying, we get:
x = -3
Therefore, the solution to the equation 4 - 2x = 10 is x = -3.
1/4x-6=-4
To solve for x, we need to isolate x on one side of the equation.
Given equation: 1/4x - 6 = -4
First, let's add 6 to both sides of the equation to eliminate the -6 term:
1/4x - 6 + 6 = -4 + 6
Simplifying, we get:
1/4x = 2
Next, we can multiply both sides of the equation by 4 to eliminate the fraction:
(1/4x) * 4 = 2 * 4
Simplifying, we get:
x = 8
Therefore, the solution to the equation 1/4x - 6 = -4 is x = 8.
Given equation: 1/4x - 6 = -4
First, let's add 6 to both sides of the equation to eliminate the -6 term:
1/4x - 6 + 6 = -4 + 6
Simplifying, we get:
1/4x = 2
Next, we can multiply both sides of the equation by 4 to eliminate the fraction:
(1/4x) * 4 = 2 * 4
Simplifying, we get:
x = 8
Therefore, the solution to the equation 1/4x - 6 = -4 is x = 8.
Mariah wants to buy as many collectible dolls as possible, for $4.50 each. If she has $74.00 to spend, how many dolls can she buy? Which equation represents this situation?
A 75d=4.5
B d+4.5=75
C 4.5d=75
D d/4.5=75
A 75d=4.5
B d+4.5=75
C 4.5d=75
D d/4.5=75
The equation that represents this situation is C: 4.5d = 75.
In this equation, d represents the number of dolls Mariah can buy, and 4.5 represents the cost of each doll. The equation is stating that the product of the cost per doll (4.5) and the number of dolls (d) is equal to the total amount Mariah has to spend on dolls (75).
In this equation, d represents the number of dolls Mariah can buy, and 4.5 represents the cost of each doll. The equation is stating that the product of the cost per doll (4.5) and the number of dolls (d) is equal to the total amount Mariah has to spend on dolls (75).
If Jaylan takes the number of stamps he has and multiplies it by 5 and then subtracts 10, he gets 275. How many stamps does he have?
Let's represent the number of stamps Jaylan has as a variable, let's say s.
According to the given information, if Jaylan takes the number of stamps he has and multiplies it by 5 and then subtracts 10, he gets 275.
We can express this as the equation: 5s - 10 = 275.
To solve for s, we need to isolate s on one side of the equation.
First, add 10 to both sides of the equation:
5s - 10 + 10 = 275 + 10
Simplifying, we get:
5s = 285
Next, divide both sides of the equation by 5 to isolate s:
5s/5 = 285/5
Simplifying, we get:
s = 57
Therefore, Jaylan has 57 stamps.
According to the given information, if Jaylan takes the number of stamps he has and multiplies it by 5 and then subtracts 10, he gets 275.
We can express this as the equation: 5s - 10 = 275.
To solve for s, we need to isolate s on one side of the equation.
First, add 10 to both sides of the equation:
5s - 10 + 10 = 275 + 10
Simplifying, we get:
5s = 285
Next, divide both sides of the equation by 5 to isolate s:
5s/5 = 285/5
Simplifying, we get:
s = 57
Therefore, Jaylan has 57 stamps.
Which situation is best represented by the following equation? 40w+12.50=492.50 40 + 12.50 = 492.50
The correct response is: Nikayah paid $492.50 for ballet classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.
The correct response is: Nikayah paid $492.50 for ballet classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.
The situation best represented by the equation 40w + 12.50 = 492.50 is "Nikayah paid $492.50 for ballet classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes."
Bella bought B boxes of cookies to bring to a party. She decides to keep two boxes. Each box contains 18 cookies she brings 90 cookies to the party. Which equation can be used to find the number of boxes, B, Bella bought? How many boxes did she buy?
Let's represent the number of boxes Bella bought as B.
According to the given information, Bella bought B boxes of cookies to bring to a party and decides to keep two boxes. Each box contains 18 cookies, so she brings 90 cookies to the party.
To find the equation that can be used to find the number of boxes Bella bought, we can set up the equation:
(B - 2) * 18 = 90
In this equation, (B - 2) represents the number of boxes Bella brings to the party, multiplied by 18 (the number of cookies in each box), which equals 90 cookies.
To solve for B, we can isolate B on one side of the equation.
Dividing both sides of the equation by 18:
(B - 2) = 90 / 18
Simplifying:
B - 2 = 5
Adding 2 to both sides of the equation:
B = 5 + 2
Simplifying:
B = 7
Therefore, Bella bought 7 boxes of cookies for the party.
According to the given information, Bella bought B boxes of cookies to bring to a party and decides to keep two boxes. Each box contains 18 cookies, so she brings 90 cookies to the party.
To find the equation that can be used to find the number of boxes Bella bought, we can set up the equation:
(B - 2) * 18 = 90
In this equation, (B - 2) represents the number of boxes Bella brings to the party, multiplied by 18 (the number of cookies in each box), which equals 90 cookies.
To solve for B, we can isolate B on one side of the equation.
Dividing both sides of the equation by 18:
(B - 2) = 90 / 18
Simplifying:
B - 2 = 5
Adding 2 to both sides of the equation:
B = 5 + 2
Simplifying:
B = 7
Therefore, Bella bought 7 boxes of cookies for the party.
Delia spent $250 to rent a boat for 6 hours. Th rental company charges $150 for the first 2 hours, and then and hourly rate for each additional hour. How much does each additional hour of boat rental cost?
To find the cost of each additional hour of boat rental, we need to subtract the cost of the first 2 hours from the total cost.
According to the information given, Delia spent $250 to rent the boat for 6 hours, and the rental company charges $150 for the first 2 hours.
So, the cost of the additional 4 hours is:
$250 - $150 = $100
To find the cost of each additional hour, we divide the additional cost by the number of additional hours (4):
$100 / 4 = $25
Therefore, each additional hour of boat rental costs $25.
According to the information given, Delia spent $250 to rent the boat for 6 hours, and the rental company charges $150 for the first 2 hours.
So, the cost of the additional 4 hours is:
$250 - $150 = $100
To find the cost of each additional hour, we divide the additional cost by the number of additional hours (4):
$100 / 4 = $25
Therefore, each additional hour of boat rental costs $25.
-1/5y+3=-7
solve for y
solve for y
To solve for y, we need to isolate y on one side of the equation.
Given equation: -1/5y + 3 = -7
First, let's subtract 3 from both sides of the equation:
-1/5y + 3 - 3 = -7 - 3
Simplifying, we get:
-1/5y = -10
Next, we can multiply both sides of the equation by -5 to eliminate the fraction:
(-1/5y) * -5 = -10 * -5
Simplifying, we get:
y = 50
Therefore, the solution to the equation -1/5y + 3 = -7 is y = 50.
Given equation: -1/5y + 3 = -7
First, let's subtract 3 from both sides of the equation:
-1/5y + 3 - 3 = -7 - 3
Simplifying, we get:
-1/5y = -10
Next, we can multiply both sides of the equation by -5 to eliminate the fraction:
(-1/5y) * -5 = -10 * -5
Simplifying, we get:
y = 50
Therefore, the solution to the equation -1/5y + 3 = -7 is y = 50.
Darcy and JoJo are decoration cupcakes for a party. Darcy decorates 8 cupcakes which is 2 more than 1/3 the number of cupcakes that JoJo decorates. H ow many cupcakes does JoJo decorate?
Let's represent the number of cupcakes that JoJo decorates as J.
According to the given information, Darcy decorates 8 cupcakes, which is 2 more than 1/3 the number of cupcakes that JoJo decorates.
We can set up the equation:
8 = (1/3)J + 2
To solve for J, we need to isolate J on one side of the equation.
Subtracting 2 from both sides of the equation:
8 - 2 = (1/3)J + 2 - 2
Simplifying, we get:
6 = (1/3)J
Next, we can multiply both sides of the equation by 3 to eliminate the fraction:
6 * 3 = (1/3)J * 3
Simplifying, we get:
18 = J
Therefore, JoJo decorates 18 cupcakes.
According to the given information, Darcy decorates 8 cupcakes, which is 2 more than 1/3 the number of cupcakes that JoJo decorates.
We can set up the equation:
8 = (1/3)J + 2
To solve for J, we need to isolate J on one side of the equation.
Subtracting 2 from both sides of the equation:
8 - 2 = (1/3)J + 2 - 2
Simplifying, we get:
6 = (1/3)J
Next, we can multiply both sides of the equation by 3 to eliminate the fraction:
6 * 3 = (1/3)J * 3
Simplifying, we get:
18 = J
Therefore, JoJo decorates 18 cupcakes.
When multiplying two rational, how is the sign of the product determined
The product is positive if the signs of the factors are the same.
The product is positive if the signs of the factors are the same.
When multiplying two rational numbers, the sign of the product is determined by the signs of the factors.
If the signs of the factors are the same (both positive or both negative), then the product will be positive.
If the signs of the factors are different (one positive and one negative), then the product will be negative.
To summarize:
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- Negative × Positive = Negative
If the signs of the factors are the same (both positive or both negative), then the product will be positive.
If the signs of the factors are different (one positive and one negative), then the product will be negative.
To summarize:
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- Negative × Positive = Negative
On a given morning the temperature was 81* F. The temperature dropped 9*F and then rose 5*F. How much does the temperature need to rise or fall to return to the initial temperature of 81*F?
To return to the initial temperature of 81°F, we need to find the total change in temperature from the given morning temperature.
The temperature initially starts at 81°F, drops 9°F, and then rises 5°F.
To find the total change in temperature, we need to subtract the drop of 9°F and add the rise of 5°F to the initial temperature:
81°F - 9°F + 5°F = 77°F.
So, to return to the initial temperature of 81°F, the temperature needs to rise 4°F.
The temperature initially starts at 81°F, drops 9°F, and then rises 5°F.
To find the total change in temperature, we need to subtract the drop of 9°F and add the rise of 5°F to the initial temperature:
81°F - 9°F + 5°F = 77°F.
So, to return to the initial temperature of 81°F, the temperature needs to rise 4°F.
Divide -3/17 by -2/3
To divide -3/17 by -2/3, we need to multiply the dividend (-3/17) by the reciprocal of the divisor (-2/3).
The reciprocal of -2/3 is -3/2.
So, the division -3/17 ÷ -2/3 can be rewritten as (-3/17) * (-3/2).
When multiplying fractions, we multiply the numerators together, and the denominators together.
(-3/17) * (-3/2) = (3 * 3) / (17 * 2) = 9 / 34
Therefore, -3/17 ÷ -2/3 is equal to 9/34.
The reciprocal of -2/3 is -3/2.
So, the division -3/17 ÷ -2/3 can be rewritten as (-3/17) * (-3/2).
When multiplying fractions, we multiply the numerators together, and the denominators together.
(-3/17) * (-3/2) = (3 * 3) / (17 * 2) = 9 / 34
Therefore, -3/17 ÷ -2/3 is equal to 9/34.
4/7(-20/2)
To evaluate the expression 4/7(-20/2), we need to perform the multiplication first.
First, simplify the expression -20/2:
-20/2 = -10
Now, we can rewrite the expression as:
4/7 * -10
To multiply fractions, we multiply the numerators together and the
First, simplify the expression -20/2:
-20/2 = -10
Now, we can rewrite the expression as:
4/7 * -10
To multiply fractions, we multiply the numerators together and the
find the product
find the product
4/7(-20/2)
4/7(-20/2)
the answer is -5 5/7
bot?
8 answers