The situation best represented by the equation 40w + 12.50 = 492.50 is:
A person earns $40 per hour and has already earned $12.50. The equation represents the total amount the person has earned, which is equal to $492.50. The variable "w" represents the number of hours the person has worked.
Which situation is best represented by the following equation? 40w+12.50=492.50
25 answers
Which situation is best represented by the following equation? 40w+12.50=492.50
The situation best represented by the equation 40w + 12.50 = 492.50 is:
A person buys multiple items that each cost $40 and also spends an additional $12.50. The equation represents the total cost of the items and additional expenses, which is equal to $492.50. The variable "w" represents the number of items purchased.
A person buys multiple items that each cost $40 and also spends an additional $12.50. The equation represents the total cost of the items and additional expenses, which is equal to $492.50. The variable "w" represents the number of items purchased.
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?
18b-2=90;b=5
2b-18=90;b=54
18b-36=90;b=7
18b-36=90;b=6
18b-2=90;b=5
2b-18=90;b=54
18b-36=90;b=7
18b-36=90;b=6
The correct equation that can be used to find the number of boxes, b, Bella bought is:
18b - 2 = 90;
Using this equation, we can solve for b:
18b = 90 + 2;
18b = 92;
b = 92/18;
b ≈ 5.11 (rounded to the nearest whole number)
So, Bella bought approximately 5 boxes of cookies.
18b - 2 = 90;
Using this equation, we can solve for b:
18b = 90 + 2;
18b = 92;
b = 92/18;
b ≈ 5.11 (rounded to the nearest whole number)
So, Bella bought approximately 5 boxes of cookies.
Delia spent $250 to rent a boat for 6 hours. The rental company charges a base rate of $150 for the first two 2 hours, and then an hourly rate for each additional hour. How much does each additional hour of boat rental cost?(1 point)
To find how much each additional hour of boat rental costs, we need to subtract the base rate for the first two hours from the total cost and divide it by the additional hours.
Let's break down the given information:
Total cost of boat rental = $250
Base rate for the first two hours = $150
Additional hours = Total hours - Base hours = 6 - 2 = 4 hours
To find how much each additional hour costs:
Additional cost = (Total cost - Base rate) / Additional hours
Additional cost = ($250 - $150) / 4
Additional cost = $100 / 4
Additional cost = $25
So, each additional hour of boat rental costs $25.
Let's break down the given information:
Total cost of boat rental = $250
Base rate for the first two hours = $150
Additional hours = Total hours - Base hours = 6 - 2 = 4 hours
To find how much each additional hour costs:
Additional cost = (Total cost - Base rate) / Additional hours
Additional cost = ($250 - $150) / 4
Additional cost = $100 / 4
Additional cost = $25
So, each additional hour of boat rental costs $25.
Solve the equation for y. −1/5y+3=−7
To solve the equation −(1/5)y + 3 = −7 for y, we can follow these steps:
1. Start by subtracting 3 from both sides of the equation to isolate the term with y.
−(1/5)y + 3 - 3 = −7 - 3
−(1/5)y = -10
2. Next, to get rid of the coefficient −(1/5) in front of y, we can multiply both sides by the reciprocal of -(1/5), which is -5/1:
(-5/1) * (-(1/5)y) = (-5/1) * (-10)
y = 50
The solution to the equation is y = 50.
1. Start by subtracting 3 from both sides of the equation to isolate the term with y.
−(1/5)y + 3 - 3 = −7 - 3
−(1/5)y = -10
2. Next, to get rid of the coefficient −(1/5) in front of y, we can multiply both sides by the reciprocal of -(1/5), which is -5/1:
(-5/1) * (-(1/5)y) = (-5/1) * (-10)
y = 50
The solution to the equation is y = 50.
Darcy and JoJo are decorating cupcakes for a party. Darcy decorates 8 cupcakes which is 2 more than 1/3 the number of cupcakes that JoJo decorates. How many cupcakes does JoJo decorate?(1 point)
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. Mathematically, we can write this as:
8 = (1/3)J + 2
To find the number of cupcakes that JoJo decorates, we need to isolate J. Let's solve the equation:
Subtract 2 from both sides:
8 - 2 = (1/3)J + 2 - 2
6 = (1/3)J
To eliminate the fraction, multiply both sides by 3:
6 * 3 = (1/3)J * 3
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. Mathematically, we can write this as:
8 = (1/3)J + 2
To find the number of cupcakes that JoJo decorates, we need to isolate J. Let's solve the equation:
Subtract 2 from both sides:
8 - 2 = (1/3)J + 2 - 2
6 = (1/3)J
To eliminate the fraction, multiply both sides by 3:
6 * 3 = (1/3)J * 3
18 = J
Therefore, JoJo decorates 18 cupcakes.
When multiplying two rational numbers, how is the sign of the product determined?(1 point)
The product is positive if the signs of the factors are the same.
The product is negative if the signs of the factors are the same
.The sign of the product is always the same as the larger factor
. The sign of the product is always the same as the smaller factor.
The product is positive if the signs of the factors are the same.
The product is negative if the signs of the factors are the same
.The sign of the product is always the same as the larger factor
. The sign of the product is always the same as the smaller factor.
When multiplying two rational numbers, the sign of the product is determined by the following rule:
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.
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 difference between the current temperature and the initial temperature.
Given:
Initial temperature = 81°F
Temperature dropped = 9°F
Temperature rose = 5°F
To find the temperature change needed to return to the initial temperature, we subtract the temperature change that occurred from the initial temperature:
Temperature change = (Temperature dropped) + (Temperature rose)
Temperature change = 9°F + 5°F
Temperature change = 14°F
Therefore, the temperature needs to rise or fall by 14°F to return to the initial temperature of 81°F.
Given:
Initial temperature = 81°F
Temperature dropped = 9°F
Temperature rose = 5°F
To find the temperature change needed to return to the initial temperature, we subtract the temperature change that occurred from the initial temperature:
Temperature change = (Temperature dropped) + (Temperature rose)
Temperature change = 9°F + 5°F
Temperature change = 14°F
Therefore, the temperature needs to rise or fall by 14°F to return to the initial temperature of 81°F.
which one
rise 4
or fall 4
rise 4
or fall 4
To return to the initial temperature of 81°F, the temperature needs to fall by 4°F.
Divide −3/17 by −2/3 (1 point)
To divide the fractions -3/17 by -2/3, we must remember the rule for dividing fractions:
To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of -2/3 is -3/2.
(-3/17) ÷ (-2/3) is equivalent to (-3/17) * (-3/2).
Multiplying the numerators and denominators, we get:
(-3 * -3) / (17 * 2) = 9/34.
Therefore, (-3/17) ÷ (-2/3) equals 9/34.
To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of -2/3 is -3/2.
(-3/17) ÷ (-2/3) is equivalent to (-3/17) * (-3/2).
Multiplying the numerators and denominators, we get:
(-3 * -3) / (17 * 2) = 9/34.
Therefore, (-3/17) ÷ (-2/3) equals 9/34.
Find the product. 4/7(−20/2) (1 point)
To find the product of 4/7 and -20/2, we multiply the numerators and denominators:
(4/7) * (-20/2) = (-4 * -20) / (7 * 2) = 80/14.
The product of 4/7 and -20/2 is 80/14, which can be simplified further to 40/7.
(4/7) * (-20/2) = (-4 * -20) / (7 * 2) = 80/14.
The product of 4/7 and -20/2 is 80/14, which can be simplified further to 40/7.
Find the product. 4/7(−20/2)
-2/35
5 5/7
-5 5/7
-9 3/7
-2/35
5 5/7
-5 5/7
-9 3/7
To find the product of 4/7 and -20/2, we multiply the numerators and denominators:
(4/7) * (-20/2) = (-80/14).
The product is -80/14, which can be simplified to -40/7 or -5 5/7.
Therefore, the answer is -5 5/7.
(4/7) * (-20/2) = (-80/14).
The product is -80/14, which can be simplified to -40/7 or -5 5/7.
Therefore, the answer is -5 5/7.
The elevation of the basement floor in a building is -15 ft. The elevation of the roof is 37 feet. What is the distance from the basement floor to the roof?(1 point)
To find the distance from the basement floor to the roof, we need to calculate the difference between their elevations.
Given:
Elevation of the basement floor = -15 ft
Elevation of the roof = 37 ft
To find the distance from basement to roof, we subtract the elevation of the basement floor from the elevation of the roof:
Distance = Elevation of the roof - Elevation of the basement floor
Distance = 37 ft - (-15 ft)
Distance = 37 ft + 15 ft
Distance = 52 ft
Therefore, the distance from the basement floor to the roof is 52 feet.
Given:
Elevation of the basement floor = -15 ft
Elevation of the roof = 37 ft
To find the distance from basement to roof, we subtract the elevation of the basement floor from the elevation of the roof:
Distance = Elevation of the roof - Elevation of the basement floor
Distance = 37 ft - (-15 ft)
Distance = 37 ft + 15 ft
Distance = 52 ft
Therefore, the distance from the basement floor to the roof is 52 feet.
1 answer