Jorge bought 16 apples for $8.00. Let x represent the number of apples purchased, and let y represent the total cost. Graph the line that represents the proportional relationship.
(it doesn't have a graph because i need to graph it)
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In this problem
Jorge bought [tex]16[/tex] apples for [tex]\$8.00[/tex]
This is a direct variation problem
Let
x-----> the number of apples purchased
y-----> the total cost
[tex]y/x=k[/tex]
The value of k is equal to the value of the slope m
Substitute
[tex]8/16=k[/tex]
[tex]k=0.5\frac{\$}{apple} [/tex]
The linear equation is
[tex]y=0.50x[/tex]
using a graphing tool
see the attached figure
The answer in the attached figure
a company needs to sell at least 30 subscriptions,s, for every subscription, c, they gice away. Which inequality would be representative of this constraint?
The inequality that would be a good representative of the given constraints is; s ≥ 30 + c
How to Solve Inequality Word Problems?
We are told that the company wants to sell at least 30 subscriptions. This means greater than or equal to 30 subscriptions,s.
Now, the 30 subscriptions,s is for every subscriptions,c they give away.
Therefore, it means that if they give 0 subscriptions,c out, the minimum subscriptions,s must be 30. Thus, the inequality that represents the given problem is expressed as;
s ≥ 30 + c
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An airplane travels 780 miles in 4 hours. Make a table and graph to show the mileage for 2,8 and 12 hours. Is there a direct variation? Explain.
Answer:
Yes, there is a direct variation, where the constant is 195 miles\hr
Step-by-step explanation:
Consider the provided information.
An airplane travels 780 miles in 4 hours.
780 miles = 4 hours
Divide both the sides by 4.
780/4 miles = 4/4 hours
195 miles = 1 hours
we need to make a table and graph to show the mileage for 2,8 and 12 hours.
The required table is shown below:
hr Mileage (Miles)
2 2×195 = 390 miles
8 8×195 = 1560 miles
12 12×195 = 2340 miles
From the table we can observe that there is a direct variation, where the constant is 195 miles\hr
The graph of the table is shown below.
The graph is a line passing through the origin.
Thats the same problem mr kagey gave me
Step-by-step explanation:
Represent the proportional relationship described with an equation where i equals ice cubes and t equals glasses of tea:
five ice cubes for each glass of tea
A)
i = 5t
B)
5i = t
C)
i =
5
t
D)
t =
5
i
Answer:
A i=5t
Step-by-step explanation:
usa test prep
Look at the picture. Kylie has 832 songs on her portable media player. Lance has 3 times as many songs. how fewer songs can lance add to his player than Kylie can add to hers
A portable media can hold up to 9,000 songs. Therefore:
Kylie can add = 9000 – 832 = 8168
Lance can add = 9000 – 3 * 832 = 6504
So the difference is:
8168 – 6504 = 1664
Therefore lance can add 1664 fewer songs than kylie
Atlanta and Los Angeles have two of the top ten busiest airports in the world. In 2011, Atlanta had approximately 92.365 million passengers flying through its airport. If Los Angeles had 30.517 million fewer passengers, how many passengers did Los Angeles have?
A)61.848 million
B)89.313 million
C)99.314 million
D)122.882 million
plzawnser if i get 1 question wrong on the test allfoilmy chances of PASSING 12TH GRADE
Answer:
61.848 million
Step-by-step explanation:
Is mass conserved when 10 g of sodium hydroxide undergoes a chemical change during an interaction with 57 g of copper sulfate? Use complete sentences to support your answer by explaining how this can be demonstrated.
All of the following represent the same expression except _____. -8ab -8(a)(b) 8 - ab -8 · a · b
Usually, when you subtract 98 from a number, you need to
We are taking the difference between x and the 98 we must borrow from x.
What are some alternative names for arithmetic operations?The addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
let us assume that we subtract 98 from the number x.
∴ We are taking the difference of x and 98 we have to borrow 98 from that number x.
For example -: We have to subtract 98 from 299, here we will borrow 98 from 299 which is (299 - 98) = 101.
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what's the square root of 44
a thermometer measures temperature to the nearest 0.5 degrees celsius which measurement shows an appropriate level of precision for the thermometer
The temperature which has best degree of precision would actually be the temperature reading which has similar decimal place with the error. So the best answer would have 1 decimal and from the choices given above, this would be:
16.0°C
Answer:
16.0c
Step-by-step explanation:
A P E X Verified
Define a variable. Then write and solve an equation for each situation.
The Parker family drove a total of 180 miles on their road trip. This distance is 1.5 times the distance they drove on the first day. How many miles did the Parker family drive on the first day?
Jose correctly answered 80% of the questions on a language arts quiz. If he answered 16 questions correctly, how many questions were on the language arts quiz?
16
Step-by-step explanation:
The library at school is organized by fiction and nonfiction books. There are three nonfiction books for every seven fiction books. How many total books are there if the library has 240 nonfiction books
The total number of books in the school library is 800.
Given that, in a library at school, there are three nonfiction books for every seven fiction books and the number of nonfictional books=240.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let the total number of books be x.
Now, the ratio of fictional to nonfictional boos is 3:7
Total=3+7=10
So, 3/10 = 240/x
⇒3x=240×10
⇒3x=2400
⇒x=800
Therefore, the total number of books in the school library is 800.
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On any given day, Juan will break even if he earns as much money as he spends. On day 5, he records the expression 16 + (–16). Does Juan break even? Explain.
Answer:
Juan will break even because 16 and –16 are a zero pair. –16 is the additive inverse of 16 and the sum will be zero.
Step-by-step explanation:
Answer:
Juan will break even because 16 and –16 are a zero pair. –16 is the additive inverse o f 16 and the sum will be zero.
Step-by-step explanation:
it was the example answer
Evaluate −3(−10) . Is it positive 30?
Please help I'm really bad at logorithms.
Given the exponential equation 2x = 128, what is the logarithmic form of the equation in base 10?
10 weeks ago Jerry bought stock at 21 and a half today the stock is valued at 20 and 3/8 we can say the stock is performing at which of the following
Ḧ̤ë̤l̤̈p̤̈ p̤̈l̤̈ë̤ä̤s̤̈ë̤
The area of a square garden is 1681 square feet. What are the dimensions of the garden?
Using three of the letters of the alphabet, how many two-letter codes can we form if we are allowed to use the same letter more than once?
By decreasing each dimension by 2 units, the area of the rectangle decreased from 24 square feet to 6 square feet. Find the percent increase
The percent increase after decreasing the dimensions of a rectangle is 66.67%
The question asks for the percent increase in area when the dimensions of a rectangle are decreased, which necessitates understanding of area calculations and percentages. Initially, the rectangle had an area of 24 square feet, which reduced to 6 square feet upon decreasing each dimension by 2 units.
To find the percent increase, one should first understand that a decrease in area actually implies a percent decrease, rather than an increase.
Find the area of the original rectangle: 4 units x 6 units = 24 square feet
Find the area of the new rectangle: (4 - 2) units x (6 - 2) units = 8 square feet
Calculate the percent increase: ((24 - 8) / 24) x 100% = 66.67%
Mrs.Hense sells a roll of coastal bermuda horse hay for $58. She says she will make $174 if she sells 3 rolls
Of all the species in the world, 4 44 out of every 5 55 are insects. What percentage of species are insects?
The percentage of insects is 80%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of species = 555x
Number of insects = 444x
Now,
The percentage of insects.
= 444x/555x x 100
= 44400/555
= 80%
Thus,
The percentage of insects is 80%.
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What are the variables in this expression? f+2g+h/4-7.1 f and g only
2 g and h only
3 f, g, and mc014-2.jpg only
4 f, g, and h only
Answer:
4. [tex]f,g\text{ and }h[/tex] only.
Step-by-step explanation:
We have been given an expression [tex]f+2g+\frac{h}{4}-7[/tex]. We are asked to find the variables in the given expression.
We know that variable is a symbol or letter that represents an unknown value in a mathematical expression.
We can see that in our given expression [tex]f,g\text{ and }h[/tex] are unknown, therefore, these are variables for our given expression.
Marjorie bought 24 bottles of juice. She drinks 2 bottles each day. Which of the following best represents the number of bottles she has left at the end of d days? Question 1 options: 2d - 24 24d - 2 24 + 2d 24 - 2d
Answer:I know the answer is 24-2d. But can anyone give me the Step-by-step explanation of how to solve it in the comments below.
The best representation of the number of bottles she has left at the end of d days is,
⇒ 24 - 2d
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Marjorie bought 24 bottles of juice.
And, She drinks 2 bottles each day.
Now, We get;
First day;
⇒ 24 - 2
Second day;
⇒ 24 - 2 x 2
After d days;
⇒ 24 - 2d
Thus, The best representation of the number of bottles she has left at the end of d days is,
⇒ 24 - 2d
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stuart has some 2 ounce, 3 ounce, and 4 ounce weighs. how many different ways can stuart combine the weight to make a total of 12 ounces
Answer:
25 ounces
Step-by-step explanation:
How is rate of change related to slope
They're pretty much the same thing but when you hear the word rate of change, your thinking of it more in the context of a word problem and interpreting what it means. So labels are pretty much the key difference.
So like slope is here is a random coordinate plane, here's random points or just tell me what the slope is whereas rate of change is like it's number of meters per minute or its number of miles per hour so rate of change means you're comparing two quantities but you have units or labels attached to it.
You're calculating it in the same way but when we say rate of change we're really being asked in the context what does it mean.
Simplify. 14+{−2+3[1+3(−6−2)]} Enter your answer in the box. pls HELP
The expression after simplification is -57
Given the expression 14+{−2+3[1+3(−6−2)]}
Using the PEDMAS method
P is parenthesis
E is exponent
D is division
M is multiplication
A is addition
S is subtraction
14+{−2+3[1+3(−6−2)]}
= 14+{−2+3[1+3(-8)]}
= 14+{−2+3[1+(-24)]}
= 14+{−2+3[1-24]}
= 14+{−2+3[-23]}
= 14+{−2+[-69]}
= 14+{−2-69}
= 14+(-71)
= 14 - 71
= -57
Hence the value of the expression after simplification is -57
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How do find the answer? I do not
multiply 1.8 by 4.5 then subtract from the starting temperature
1.8 *4.5 = 8.1 degree change
4.6 - 8.1 = -3.5
it was negative 3.5 degrees
Answer is B
A fish is 5 feet below the surface of a lake. If its position can be recorded as −5 feet, what would the position of 0 represent