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
Find the sum of the partial products to evaluate each expression.
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.
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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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.)
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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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.
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
Solve for T.
3t + 1 = 2t - 5
todays Temperature is 3 degrees warmer than it yesterday. Write an expression for today's temperature
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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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]
Find P(3 on 1st card and 10 on 2nd). (Enter your answer as a fraction.)
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:
Solve the linear equation x-9=3/5x
Which points are solutions to the linear inequality y < 0.5x + 2? Check all that apply.
Answer:
The answers are numbers 1, 3, 5, and 6.
(-3,-2) (–1, –2) (1, –2) (1, 2)
Step-by-step explanation:
what is 200 divided by 19.30 rounded ti nearest ten
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:
Write and solve an inequality for each problem. Jorge’s soccer team is having its annual fundraiser. The team hopes
to earn at least three times as much as it did last year. Last year the
team earned $87. What is the team’s goal for this year?
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?
Alvin at 1/3 of a pizza for dinner and took 1/6 of it for lunch the next day . How much pizza does he have left
What was the purpose of the coordinate graphing system described by Descartes in his book Discourse on Method?
Answer:
A
Step-by-step explanation:
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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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
What is the slope of this line?
A.5
B.1/5
C.−1/5
D.−5
(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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Use the digits 3,5,9 and 4 only once to make 2 addends whose sum is between 100 and 110.
The two numbers 59 and 43 whose sum is between 100 and 110.
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Use the digits 3,5,9 and 4 only once to make 2 addends whose sum is between 100 and 110.
Then the two numbers will be given as,
⇒ 59 and 43
The two numbers 59 and 43 whose sum is between 100 and 110.
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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. ♥
You had $22 to spend on four raffle tickets. After buying them you had $6. How much did each raffle ticket cost?
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