The solution to the equation 4(2 + 3c) = 56 is c = 4.
To solve the equation 4(2 + 3c) = 56, we will follow the order of operations (PEMDAS) to simplify the expression and isolate the variable c.
First, we distribute the 4 to both terms inside the parentheses:
4 * 2 + 4 * 3c = 56
Simplifying further:
8 + 12c = 56
Next, we want to isolate the variable c by subtracting 8 from both sides:
8 + 12c - 8 = 56 - 8
Simplifying:
12c = 48
Finally, we divide both sides by 12 to solve for c:
12c/12 = 48/12
Simplifying:
c = 4
Therefore, the solution to the equation 4(2 + 3c) = 56 is c = 4.
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1. A local pizzeria sold 65 pizzas yesterday.
(a) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning.
To find the answer, you first need to find 20% of 65. So you Add this number, 13, to 65. This will give you the number you need, which is 78.
(b) Suppose the actual number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.
emma is planning a surprise party. She is considering using one of two venues. The banquet of hall A will cost $862 fot a reservation, plus $76 per dinner. The banquet of hall B will cost $75 per dinner, in addition to $894 for the reservation. In order to make the best decision , Emma figures out-How many guests it will take to have the venues cost the same amount? What woyld the total cost be? How many guest would it be?
Emma will need to invite 32 guests for both venues to cost the same amount, which will be $3,394 in total for either venue.
Emma is comparing the cost of two venues for her surprise party and wants to find out after how many guests the costs for both the venues will be the same, as well as the total cost at that point. To solve this, we can set up an equation where the total cost for both venues is equal, with x representing the number of guests.
Let's denote Hall A's cost with an initial reservation fee of $862 plus $76 per dinner as A(x), and Hall B's cost with an initial reservation fee of $894 plus $75 per dinner as B(x).
Therefore, we can write the following equation for the point where both costs are the same:
A(x) = B(x)
862 + 76x = 894 + 75x
After solving this equation for x, we find:
76x - 75x = 894 - 862
x = 32
So, Emma will have to invite 32 guests for the cost of both venues to be the same. At this number of guests, the total cost for either venue can be calculated:
Total cost for Hall A: 862 + 76(32) = $3,394
Total cost for Hall B: 894 + 75(32) = $3,394
Both venues will cost her $3,394 when hosting 32 guests.
A rectangular playground has an area of 3,392 square meters.If the width of the rectangle is 32 meters,find the length.
The length of a playground = 106 meters
Further explanationThe playground is a rectangular shape. There are several properties possessed by rectangular shapes, namely:
1. each angle is equal and is a right angle 2. the diagonals intersect and divide each other equally 3. sides facing the same lengthThere are two rectangular shapes namely square and rectangle
Square if all sides are the same length
The formula used in rectangular is:
1.AreaRectangle
[tex]\large{\boxed{\bold{Area=w\:\times\:l}}}[/tex]
w = width
l = length
Square
[tex]\large{\boxed{\bold{area=a^2}}}[/tex]
a = length of side
2. perimeterRectangle
[tex]\large{\boxed{\bold{perimeter=2\times(w+l)}}}[/tex]
w = width
l = length
Square
[tex]\large{\boxed{\bold{perimeter=4\times\:a}}}[/tex]
a = length of side
A rectangular playground has an area of 3,392 square meters
[tex]A=3,392\:m^2[/tex]
[tex]\large{\boxed{\bold{Area=w\:\times\:l}}}[/tex]
[tex]3,392\:m^2=32\:meters\times\:l[/tex]
[tex]\displaystyle l=\frac{3,392}{32}[/tex]
[tex]\boxed{\bold{l=106\:meters}}[/tex]
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An insect is 3 inches long what is the length to the nearest hundredth of a centimeter of the insect
To convert the insect's length from 3 inches to centimeters, multiply by the conversion factor of 2.54 to get 7.62 centimeters, which is the length to the nearest hundredth of a centimeter.
Explanation:The student asked: An insect is 3 inches long what is the length to the nearest hundredth of a centimeter of the insect? To convert the insect's length from inches to centimeters, we need to use the conversion factor where 1 inch equals 2.54 centimeters.
First, we multiply the insect's length in inches by the conversion factor:
3 inches × 2.54 cm/inch = 7.62 centimetersTherefore, the length of the insect is 7.62 centimeters when converted from inches and rounded to the nearest hundredth of a centimeter.
When measuring the length of small items like insects, it is important to choose an appropriate tool and unit for precision. In this case, a ruler that includes both inches and centimeters would be appropriate for measuring an insect of this size. The centimeter, being smaller than the inch and equivalent to 10 millimeters, offers the precision needed for such measurements.
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Margo estimated 188/5 to be between 30 and 40. Which basic facts did she use to help her estimate? Mark all that apply
A 10/5
B 15/5
C 20/5
D 25/5
The greatest common factor of 32a and 48b
A pipe leaks 3.5 gallons of water per hour. How long will it take for the pipe to leak 28 gallon of water
Juliette and her two brothers spent $45.75 on flowers for their grandmother. Each person will chip in the same amount. How much will each person pay? Juliette's mom decided to chip in $15. Now how much will Juliette and her brothers each pay if they share the amount remaining?
Final answer:
After dividing the initial total cost of $45.75 by three, each of Juliette and her brothers would pay $15.25. After Juliette's mom contributes $15, the remaining amount of $30.75 is divided by three, resulting in each person paying $10.25.
Explanation:
The question involves dividing a total cost among several people and then re-dividing it after one more person contributes. Initially, Juliette and her two brothers spent $45.75 on flowers. To find out how much each person will initially pay, divide the total cost by the number of people. There are three people, so each person will pay $45.75 ÷ 3 = $15.25.
Next, Juliette's mom decides to chip in $15. After her contribution, the remaining amount to be shared by Juliette and her brothers is $45.75 - $15 = $30.75. Now there are still three people sharing the cost, so each person will pay $30.75 ÷ 3 = $10.25.
Therefore, after Juliette's mom contributes, Juliette and her brothers will each pay $10.25.
x ÷ -18 - 2 = 1 plz help I'm horrible at math
Write a word problem that can be solved using multiplication of two-digit numbers.Solve your word problem and explain the solution.
A dairy cow can produce up to 2000 gallons of milk every 365 days. At this rate, a cow can produce x gallons of milk in 500 days. Which proportion should be used to find x?
Question 2 options:
2000 = x
365 500
365 = x
500 2000
500 = 2000
365 x
x = 500
365 2000
To find the amount of milk a cow can produce in 500 days at the rate of 2000 gallons every 365 days, you can set up a proportion and solve for x.
Explanation:To find the amount of milk a cow can produce in 500 days at the rate of 2000 gallons every 365 days, we can set up a proportion. The correct proportion to use is:
365 days / 2000 gallons = 500 days / x gallons
To solve for x, we need to cross multiply and then divide:
365 * x = 2000 * 500
x = (2000 * 500) / 365
So the correct proportion to find x is 365 days / 2000 gallons = 500 days / x gallons.
a clothing store in the mall is having a sale. Everything in the store is on sale for 15% off. Julie is buying a t shirt that has a regular price of $24.80. How much will she pay for the t shirt.
what is the greatest common factor of 24 and 72
PLEASE HELP ME AND I WILL GIVE EXTRA POINTS
Which of the following best describes the solution to the equation below?
26+4x=9x
A. exactly one real solution, x=2 8/9
B. exactly one real solution, x= 5 1/5
C. infinite real solutions
D. no real soluti
Answer:
THE CORRECT AWNSER IS D
Step-by-step explanation:
decimals between 4.2 and 5.4 with an interval of 0.3 between each pair of decimals
Tara runs an amusement park ride and needs to count the people who get on the ride. At the beginning of her shift, 132 people had ridden the ride. The table shows the total number of riders for several times during Tara's shift. Hours into
Tara's shift
0 1 2 3
Total number of riders
132 165 198 231
What is the equation in slope-intercept form that represents the total number of riders over time? Choose the correct expressions from the drop-down menus to create the equation in slope-intercept form.
y = (33x/132x/32x/23x) + (231/33/132/165)
(The things in the () are the answers and the "/" separates the answers) Please answer. I really do need help. And if you can, please tell me HOW you got the answer.
Solve the inequality -8r<-12.
На первых трёх уроках Вася получил по одной оценке: 3, 4 и 5. Дома он сказал: " Пятерку я получил не на третьем уроке. А четверку получил на втором ". Потом оказалось, что оба раза Вася сказал неправду. На каком уроке Вася получил тройку?
"Пятерку я получил не на третьем уроке" - ложь. Значит, пятерку Вася получил на третьем уроке.
"Четверку получил на втором" - тоже ложь. Значит, четверку Вася мог получить на перовом или на третьем уроке.
Выше мы выяснили, что на третьем уроке он получил пятерку, следовательно, четверку Вася получил на первом уроке.
Свободны остались только второй урок и тройка.
Ответ: Вася получил тройку на втором уроке.
P-2+qp;use p=7, and q=4
In the given equation P-2+qp, when you substitute p=7 and q=4, the final result calculated is 33.
Explanation:The given equation is P-2+qp. In this expression, we are to use p=7, and q=4. Substituting these values in our equation, it becomes: 7 - 2 + 7 * 4. Now, let's simplify it further step by step. First, calculate the multiplication: 7 * 4 = 28. So, the expression becomes 7 - 2 + 28. Now, perform the addition and subtraction: 7 + 28 = 35; and then 35 - 2 equates to 33. So, when you plug p = 7 and q = 4 into the equation P-2+qp, the result is 33.
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The movie Avatar is the number one movie in U.S. history, earning $760,507,625. The second place movie is Titanic, earning $600,788,188. what percent is $600,788,188 of $760,507,625
Can someone graph these equations for me quickly?
g + s = 425
g = s + 25
Graph both of them on the same graph
the solution to the equation x+11=18 is x = 7 : true or false?
Maria has 1.35.she has only quarters and nickels.draw two possible group if coins Maria could have.use 25s ti show quarters and 5s to show nickels
75 = 3 (-6n- 5) what is the answer
381 1/10 - 214 43/100
Using a different porpotions of: Save Percentage= Saves/shots on goal. Another goalie has a save percentage of 0.907 with 204 saves in his first 6 games. Your friend says that you could find their combined save percentagr by adding 0.914 and 0.907 and then dividing by 2. Explain why this is incorrect. Then show how you would caculate their combined save percentage. Round your answer to the nearest thousandth.
(This goes with another problem: A goalie has a save percentage of 0.907 after playing his first 6 games. He has made 191 saves. How many shots on goal has he faced?
- I got the answer of 174.57.
Would that be correct? ^^^
To find the combined save percentage, you need to calculate the total number of saves and shots on goal for both goalies, and then divide the total saves by the total shots on goal. The combined save percentage is approximately 0.909.
Explanation:Your friend's approach of adding the two save percentages and dividing by 2 to find the combined save percentage is incorrect. This is because save percentage is not a simple average of multiple percentages. To find the combined save percentage, you need to calculate the total number of saves and shots on goal for both goalies, and then divide the total saves by the total shots on goal.
Goalie 1 has a save percentage of 0.914 with 204 saves. This means that Goalie 1 has faced a certain number of shots on goal which can be calculated by dividing the total saves (204) by the save percentage (0.914). This gives us approximately 223 shots on goal.Goalie 2 has a save percentage of 0.907 with 191 saves. Similarly, we can calculate the approximate number of shots on goal faced by dividing the total saves (191) by the save percentage (0.907). This gives us approximately 211 shots on goal.To find the combined save percentage, you need to add the total number of saves (204 + 191 = 395) and the total number of shots on goal (223 + 211 = 434), and then divide the total saves by the total shots on goal. The combined save percentage is approximately 0.909.Learn more about combined save percentage here:https://brainly.com/question/23344219
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What is a number that has 2 more tens than 50
Distance in space can be measured in astronomcal units or AU. Jupiter is 5.2 AU from the sun. Pluto is 39.223 AU from the sun. How much closer to the Sun is Jupiter than Pluto?
Jupiter is 34.023 AU closer to the Sun than Pluto. This is obtained by subtracting Jupiter's distance from the Sun (5.2 AU) from Pluto's distance from the Sun (39.223 AU).
Explanation:Distance in space can often be measured in Astronomical Units (AU), which is the average distance from Earth to the Sun. Given that Jupiter is 5.2 AU from the Sun, and Pluto is 39.223 AU from the Sun, you want to find out how much closer to the Sun Jupiter is than Pluto.
To get this, you simply subtract Jupiter's distance from Pluto's distance. That is, 39.223 AU (Pluto's distance) - 5.2 AU (Jupiter's distance).
The outcome of this calculation is 34.023 AU, which means that Jupiter is 34.023 AU closer to the Sun than Pluto.
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Final answer:
Jupiter is 34.023 AU closer to the Sun than Pluto, which is calculated by subtracting Jupiter's distance from Pluto's distance.
Explanation:
Distances in space can be measured using the astronomical unit (AU), where 1 AU is approximately 150 million kilometers, the average distance from Earth to the Sun. To find out how much closer Jupiter is to the Sun than Pluto, we subtract the distance from the Sun to Jupiter from the distance from the Sun to Pluto. Given that Jupiter is 5.2 AU from the Sun and Pluto is 39.223 AU from the Sun:
Distance difference = Pluto's distance - Jupiter's distance
= 39.223 AU - 5.2 AU
= 34.023 AU
Therefore, Jupiter is 34.023 AU closer to the Sun than Pluto.
Thirty times a number plus twenty two
N= A Number
writting algebric expression
Use place value to find 12x40
The multiplication of 12 and 40 can be simplified using place value. Breaking down the 40 to 4 and multiplying gives 48, but remember to adjust back for place value, giving the final answer of 480.
Explanation:To solve the equation 12x40 using place value, you need to understand that '40' is essentially '4' in the tens place which is equivalent to '4x10'. Multiplying 12 by '4' gives us '48'. Now, remembering that 4 was actually in the tens place, we apply the place value and turn it back into '480'.
This method is nothing more than a simplification of the normal multiplication process: you’re just breaking down the 40 into a easier to handle number (4), doing the multiplication, then adjusting for the fact that the 4 was actually in the tens place, not the ones. So, 12x40 equals 480.
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