Cody started with 54 stamps in his collection. The problem was solved using basic algebra by setting up an equation and working backwards.
Explanation:The subject of this question is mathematics, specifically dealing with a basic algebra problem that requires working backwards to find the original number of items in a collection. To solve the problem, we can set up an equation to represent the scenario given:
Let's call the original number of stamps 'x'. After selling half of them, Cody would have ½x. When he buys seventeen more stamps, the equation to represent this situation is ½x + 17 = 44. To find the value of 'x', we need to subtract 17 from both sides of the equation, which gives us ½x = 44 - 17 or ½x = 27. To find the full value of x, we multiply both sides of the equation by 2, which gives us x = 27 * 2 or x = 54.
Therefore, Cody started with 54 stamps in his collection.
You had $22 to spend on four raffle tickets. After buying them you had $6. How much did each raffle ticket cost?
Find the sum of the partial products to evaluate each expression.
a weight of 15 ounces stretches a spring 10 inches. A weight of 24 ounces stretches the same spring 16 inches.
How many inches does the spring stretch per ounce of additional weight?
16-10 = 6 inches
24-15 = 9 ounces
it stretches 6 inches when 9 ounces are added
divide 6 inches by 9 ounces
6 / 9 = 0.67 inches per ounce
What is the slope of this line?
A.5
B.1/5
C.−1/5
D.−5
A cell phone provider offers a plan that costs $30 per month plus $0.20 per text message sent or received. A comparable plan costs $60 per month but offers unlimited text messaging. Complete parts a. and b. below.
a. How many text messages would have to be sent or received in order for the plans to cost the same each month?
In order for the plans to cost the same,? nothing text messages would have to be sent or received. (Simplify your answer. Type an integer or a decimal.)
Which transformations will produce similar, but not congruent, figures?
Select each correct answer.
Square ABCD is dilated by a scale factor of 4/5 and then translated 1 unit right to form square A"B"C"D".
Square ABCD is rotated 270° clockwise and then dilated by a scale factor of 1/3 to form square A"B"C"D".
Square ABCD is translated 8 units right and 8 units up and then reflected across the y-axis to form square A"B"C"D".
Square ABCD is reflected across the x-axis and then dilated by a scale factor of 2 to form square A"B"C"D".
Answer:
A, B and D
Step-by-step explanation:
Any Geometric figure whether translated (slid), rotated or reflected (flipped) maintains its size since those geometric transformations just dislocate, so they remain congruents. But when a square is dilated, the following outcome is a similar one.
So, in A, B, D we have similar figures, not congruent. In A, B we have smaller squares and in D we have a bigger one.
(6d+5)−(2−3d) find the difference
(6d + 5) - (2 - 3d)
Remove the parenthesis. This will help the question look more clear
6d + 5 - 2 + 3d
Add like terms.
(6d + 3d) + (5 - 2)
Simplify.
9d + 3
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To find the difference between (6d+5) and (2-3d), distribute the negative sign and combine like terms to get 9d + 3.
Explanation:To find the difference between (6d+5) and (2-3d), we first distribute the negative sign to the terms inside the second parentheses. This gives us:
(6d+5) - (2-3d) = 6d+5 - 2 + 3d
Next, we combine like terms by adding the coefficients of d:
(6d + 3d) + (5 - 2) = 9d + 3
So, the difference between (6d+5) and (2-3d) is 9d + 3.
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Explain how to model the multiplication of 3 and ‒4 on a number line
First, start at zero. Now, because we are multiplying -4 by 3, we will jump over by 4 to the left ; 3 times on the number line. We should reach -12, and if we check our work, 3 x -4 = -12.
Final answer:
To model the multiplication of 3 and -4 on a number line, start at zero and make three moves to the left by 4 units, ending up at -12. This demonstrates the rule that multiplying numbers with opposite signs results in a negative product.
Explanation:
To model the multiplication of 3 and -4 on a number line, you can follow these steps:
Start at zero on the number line.
Since you are multipling a positive number by a negative number, you will move in the negative direction (to the left).
Make three moves (corresponding to multiplying by 3), each 4 units to the left. This represents adding -4 three times.
Where you end up on the number line is the product of 3 and -4, which is -12.
This method of multiplication on a number line illustrates the rule that when two numbers multiplied have opposite signs, the answer has a negative sign, such as in the example ( -4) x 3 = -12.
A family has $35 to spend on dinner. They spend $18 on entrees. Side dishes are $3 each. What is the greatest number of side dishes they can buy? 4 5 6 7
The greatest number of side dishes they can buy is 5, as per linear equation.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."
The family has $35 to spend on dinner.
They spend $18 on entrees.
Therefore, they are left with $(35 - 18) = $17.
Side dishes are $3 each.
Therefore, the most number of side dishes they can buy is
($17/$3)
= 5.67
≈ 5
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A pool is filling with water at a constant rate.after 10 minuets the height of the water level is 6 inches.after 15 minuets the water level is now at 9 inches when will the pool be completely filled if the entire pool is 30 inches deep?
What is the order of 75%, 1/3, 3/8, and 0.625 from least to greatest? Also, please please explain how to do it...I’m having trouble. Thanks!
To arrange the given numbers from least to greatest we convert the numbers to decimal form.
75% =0.75
(Percent means out of 100.The decimal is shifted two places left to convert percent to decimal)
[tex]\frac{1}{3} =0.33[/tex]
[tex]\frac{3}{8}=0.375[/tex]
0.625
The decimals from least to greatest are:
0.33,0.375,0.625,0.75.
The numbers arranged from least to greatest are:
[tex]\frac{1}{3},\frac{3}{8},0.625,75%[/tex]
a certain medicine is given an amount proportional to a patient's body weight. suppose a patient weight 132 pounds requires 143 milligrams of medicine. what is the amount of medicine required by a patient weighing 156 pounds?
To solve this problem, we set up a proportion based on the provided information: 132 pounds correlates to 143 milligrams. We then use cross multiplication to find the required dosage for the patient with the weight of 156 pounds, which results to about 169.3 milligrams.
Explanation:The method to solve this issue is to use the concept of proportionality. First, we set up a proportion based on the given information: 132 pounds (patient weight) correlates to 143 milligrams (medicine dosage). Secondly, we could use cross multiplication to find the unknown medicine dosage for the patient weighting 156 pounds. Here's the mathematical process:
Set up the proportion: 132/143 = 156/x Cross multiply: 132*x = 143*156 Solve the equation: x = (143*156)/132
Carrying out the multiplication and division should result in x ≈ 169.3 milligrams. So a patient weighing 156 pounds would require approximately 169.3 milligrams of the medicine.
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What would this be as an equation “You earn $0.85 for every cup Of hot chocolate you sell. How many cups do you need to sell to earn $55.25?” Please help
Use mental math to solve the problem 8.02 − 5.98
Part B
Explain the method of mental math that you used to find the answer. Be specific with each step you took.
Answer:
2.04
Step-by-step explanation:
1. I make an estimate
2. I regroup some of the numbers.
3. then subtract it all and you get...
2.04
You can buy a 2-pound loaf of bread for $2.50 or a 2-pack of 1 1/2 pound loaves for $3.30. Which is the better buy?
HELP ME PLEASE, ILL GIVE BRAINLIEST TO YOU Each year, the Department of Water Works measures the chloride concentration level in the water. The first year, they found the chloride concentration changed by −1 3/5 mg/L . It is estimated that the chloride concentration will change −2 1/15 mg/L the next year.
What is the total change that will likely occur in 2 years?
Enter your answer as a simplified mixed number in the box.
Answer:
- 3 8/15
Step-by-step explanation:
A candy manufacturer says on its web site that it wants to reach a 60 : 40 consumer taste preference for new products.What do you think it means
A candy manufacturer wants to achieve a 60:40 consumer taste preference for new products, meaning they want 60% of consumers to prefer their new products and 40% to prefer other products.
Explanation:When the candy manufacturer says that it wants to reach a 60:40 consumer taste preference for new products, it means that they aim to have 60% of consumers prefer their new products, while 40% of consumers prefer other products.
For example, if they conducted a taste test and found that out of 100 consumers, 60 preferred their new products and 40 preferred other products, then they have achieved their desired consumer taste preference.
This ratio indicates the target market share the candy manufacturer hopes to capture for its new products.
The candy manufacturer wants 60% of consumers to prefer their new products over others.
Explanation:The candy manufacturer's statement about wanting to reach a 60:40 consumer taste preference for new products means that they aim to have 60% of consumers prefer their new products over other options, while 40% may still prefer other brands or flavors.
For example, if the company launches a new chocolate bar, their goal is to have 60% of consumers say that they like the new chocolate bar, while 40% may still prefer other chocolate bars or candies.
This ratio indicates the company's desired market share and the level of acceptance they are aiming for in order to consider their new products successful.
A group of friends are ordering food. The total amount that they can spend on their food bill is $41, including the delivery charge of $6. The equation below represents the situation, where x is the cost of each friend's meal.
The cost of each friend's meal in terms of a is
.
The cost of each friend's meal when the number of friends is 5 is $
The cost of each friend's meal in terms of a is 35/a.
The cost of each friend's meal when the number of friends is 5 is $7.
The cost of each friend's meal in terms of a is 35/a and the cost of each friend's meal when the number of friends is 5 is $7.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given the equation,
6 + ax = 41
Where a is the number of people and x is the cost of each friend's meal.
Now,
ax = 41 - 6
ax = 35
x = 35/a
So it will be the cost of each friend's meal in terms of a.
Now,
If the number of friends = 5
Then,
a = 5
So,
x = 35/5 = 7
Hence "The cost of each friend's meal in terms of a is 35/a and the cost of each friend's meal when the number of friends is 5 is $7".
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If h = 18 inches, l = 30 inches, and w = 14 inches, what is the area of the figure shown above?
A. 960 square inches
B. 690 square inches
C. 314 square inches
D. 666 square inches
Gali found that she can drive 140 miles in 3 hours, including rest stops, or interstate highways. How long would it take her to drive the interstates from Cleveland, Ohio to Washington, D.C. which is 350 miles?
It would take Gali approximately 7.5 hours to drive from Cleveland, Ohio, to Washington, D.C. on the interstate highways.
To find Gali's average driving speed, we can divide the distance she can travel by the time it takes her:
140 miles / 3 hours = 46.67 miles per hour (approx).
Now that we know her average driving speed, we can calculate the time it would take her to drive 350 miles from Cleveland to Washington, D.C.
Time = Distance / Speed
Time = 350 miles / 46.67 miles per hour
Time ≈ 7.5 hours
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The temperature at noon on a winter day was 8°C. At midnight, the temperature had dropped 15°C. What was the temperature at midnight?
Answer:
-7
Step-by-step explanation:
Josh has eight pairs of white socks, two pairs of black socks, and one pair of blue socks. Write a fraction to represent the part of his socks that are white.
Use / for the fraction line.
thankyou so much for helping please do it correctly and dont just guess
Round off 43,876,503 to the nearest thousand
Julio's father is 4 times as old as Julio. The sum of their ages is no less than 55.
What is the youngest age Julio can be?
Enter your answer in the box.
Answer:
11
Step-by-step explanation:
the ratio of boys to girls in a class is 4:3 are 35 students in the class how many students are boys
todays Temperature is 3 degrees warmer than it yesterday. Write an expression for today's temperature
The number 75 falls between what two perfect squares?
The number 75 falls between the two perfect squares of 8 and 9.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
We know that square of the numbers from 5 to 10 will be given below.
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
From the above, the number 75 falls between the two perfect squares of 8 and 9.
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find a number such that 8 times the number is 36 greater than the opposite of the number. Explain also please. ♥
Add using a number line.
5/6 + (−1 1/6)
Drag and drop the word SUM to the correct value on the number line.
Answer:
-1
Step-by-step explanation:
We are given that an expression
[tex]\frac{5}{6}-\frac{11}{6}[/tex]
We have to find the correct value of given expression on the number line.
[tex]\frac{11}{6}=1\frac{5}{6}[/tex]
[tex]\frac{5}{6}-\frac{11}{6}[/tex]
[tex]\frac{5-11}{6}=\frac{-6}{6}[/tex]
[tex]\frac{5}{6}-\frac{11}{6}=-1[/tex]
[tex]\frac{5}{6}+(-1\frac{5}{6})[/tex]
When an integer positive and other integer negative and add them .If negative integer is greater and positive integer is small then we go from left to right.
We go [tex]\frac{5}{6}[/tex] step from [tex]-1\frac{5}{6}[/tex]towards right then we reach at [tex]{-1}[/tex].
Hence, -1 is the correct value of given expression.
what is 200 divided by 19.30 rounded ti nearest ten