Final answer:
The expression for the given situation "The quotient of x and 7 is equal to 13" is modeled by the linear equation x/7 = 13. By multiplying both sides by 7, we find that x equals 91.
Explanation:
The question "The quotient of x and 7 is equal to 13" can be modeled as an expression in the form of a linear equation. To define variables in this context, we let x represent the unknown number we're trying to find. The quotient of x and 7 means x divided by 7, and this is equal to 13. Therefore, we can write the linear equation as x/7 = 13.
To solve for x, we perform algebraic operations. We multiply both sides of the equation by 7 to get rid of the denominator. The expression becomes 7 * (x/7) = 13 * 7, which simplifies to x = 91.
the product of 3x and (3x+1) is a t least 35
Use multiplication to solve the proportion. Y/9=44/54. What is Y
To solve the given proportion using multiplication, cross-multiply by multiplying the numerators and denominators, and then divide to find the value of Y, which is approximately 7.33.
Explanation:In mathematics, a proportion is an equation stating that two ratios are equal. It expresses the relationship between quantities. For example, if a/b = c/d, where b and d are not zero, it forms a proportion.
To solve the proportion Y/9 = 44/54 using multiplication, we can cross-multiply.
Multiply 9 by 44 and then divide by 54 to find Y
9 * 44 = 396
396 / 54 = 7.33
So, Y is approximately 7.33
Tonya packed different boxes with unit cubes. Which box has a volume of 16 cubic units?
Answer:
the smallest
Step-by-step explanation:
Julie has a bag of p blue marbles and q red marbles in the ratio 2:3. She adds r blue marbles. The ratio of blue marbles to red marbles is now 2:1. What is the ratio between p and r
A function is shown below:
f(x) = (0.07)x
What does the function represent?
A. Exponential growth of 7%
B. Exponential decay of 7%
C .Exponential growth of 93%
D. Exponential decay of 93%
Answer:
D. Exponential decay of 93%Step-by-step explanation:
We are given an exponential function [tex]f(x) = (0.07)^x[/tex].
We know, the standard exponential function [tex]y= a(b)^x[/tex], where a is the initial value and b is growth factor.
If b is greater than 1, then it would be an Exponential growth and if b is less than 1, then it would be an Exponential decay.
Also b= 1+r, where r is the rate of decay or growth.
For the given function [tex]f(x) = (0.07)^x[/tex], we can see than b= 0.07.
0.07 is less than 1.
Therefore, it would be an Exponential decay.
Now, let us find rate of decay.
1+r = 0.07.
Subtracting both sides by 1, we get
r = 0.07-1 = -0.93.
In percentage it would be 93%.
Therefore, correct option would be
D. Exponential decay of 93%Find the length of XZ
geometry help
what is 2a^2-14=-24 factored
Estimate the amount of gas left in this cars gas tank with a fraction
The amount of gas left in this car's gas tank with a fraction of probably 3/8.
What are proper and improper fractions and how to convert mixed fractions to simple fractions?There is a fraction, containing a numerator(upper value) and denominator(lower value). When the numerator is less than the denominator, the fraction is called a proper fraction, otherwise, it is called an improper fraction. A proper fraction is also called a fraction that is less than 1.
We need to find the approx amount of gas left in this car's gas tank with a fraction.
So, the diagram shows the three levels as empty, half, and then full
We can see that the mark is a little less than half and greater than empty.
So it should be lies between 0 to 1/2.
Therefore, the amount of gas left in this car's gas tank with a fraction of probably 3/8.
Learn more about fractions;
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What is the value of the digits 5 in 75
What is the probability that two events, A and B, will occur at the same time?
answer choices:
P(A or B)
P(A and B)
P(A)+P(B)
allison has 5 times as many baseball cards as football cards.in all,she has 120 baseball and football cards.how many baseball cards does she have?
Out of the total of 120 cards, Allison has 100 baseball cards.
Allison has a total of 120 baseball and football cards.
The baseball cards are 5 times the football cards so assuming the football cards were denoted as x, the baseball cards would be denoted as:
= 5 × x
= 5x
The cards in her possession can be found by solving for x:
Baseball cards + Football cards = 120
5x + x = 120
6x = 120
x = 120 / 6
x = 20 football cards
Baseball cards:
= 5x
= 5 x 20
= 100 baseball cards
In conclusion, she has 100 baseball cards.
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If 1 liter = 1.057 quarts, how many quarts are in 1 kiloliter?
Solve for x: |2x + 6| − 4 = 20
40 POINTER PLZ HELP
Find the extraneous solution of the equation |2x−10|=−3x
For the equation |2x−10|=−3x, the absolute value cannot be negative, therefore there is no valid solution. Any solution derived would be considered an extraneous solution. Extraneous solutions are those that appear during the solving process but are not valid.
Explanation:The given equation is a mathematical expression |2x−10|=−3x. However, it should be noted that the absolute value of a number cannot be negative, so technically, there is no solution to this equation. This means the equation doesn't have a valid solution, but rather an extraneous solution.
An extraneous solution often arises in the process of solving an equation but is not a true solution. They often appear when you square both sides of an equation, as this often introduces new solutions that weren't part of the original equation.
So, in this case, since the absolute value can not be negative, it is impossible for |2x - 10| to be equal to -3x. Hence, any solution derived from this equation would be considered an extraneous solution.
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Graph y-5=-2/3(x+9)
50 points !!!
GCF 6x and 20xyz please help
The Greatest Common Factor (GCF) of 6x and 20xyz is determined by factorizing both terms and finding the common factors. Through this process, we find that 2x is the GCF.
Explanation:The question is asking for the Greatest Common Factor (GCF) of 6x and 20xyz. The GCF is the largest number or terms that divide both numbers exactly. To find the GCF, we usually list all the factors and select the largest one that is common to both. Let's break down the terms:
Write down the factorizations of each term, i.e., 6x= 2*3*x and 20xyz = 2*2*5*x*y*z.Find the common factors. In this case, we have 2 and x in common.2*x = 2x, so 2x is the GCF.Therefore, the greatest common factor of 6x and 20xyz is 2x.
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Write a Doubles fact you can use to find the sum. Write the sum 2+3
Shana uses a probability simulator to pull colored stars from a bag 60 times and to flip a coin 60 times. The results are shown in the tables below:
Color of Star
Number of Times Pulled
Pink
17
Yellow
19
Violet
24
Heads 26
Tails 34
Using Shana's simulation, what is the probability of pulling a pink star and the coin landing on tails?
fraction 578 over 3,600
fraction 646 over 3,600
fraction 34 over 60
fraction 51 over 60
Fifteen children voted their favorite color. The votes for red and blue together were double the votes for green and yellow together.How did the children vote?
What transformation takes f(x)= 4x−7 to g(x)= −4x−7 Question 1 options:
a reflection across the x-axis
a vertical shift 8 units down
a horizontal shift 8 units right
a reflection across the y-axis
Answer:
A reflection across the x-axissssss
Step-by-step explanation:
I hope this helps!
- sincerelynini
Sara is multiplying two factors,one with one decimal place and one with two decimal places.She says that the product could have two decimal places. is she correct?
The amount of money left in Alma’s bank account is expressed by the linear equation y = -27x + 577, where x represents the number of weeks and y represents the amount of money left in her account. After how many weeks will Alma have $145 left in her account?
Answer:
16
Step-by-step explanation:
Answer:
B: 16 weeks
Step-by-step explanation:
If we are given the equation y = -27x + 577 and that
x = weeks
y = money left in account
Then you must replace 145 (the money) for y and solve for x (the weeks)
145 = -27x + 577
145 - 577 = -27x + 577 - 577
-432 = -27x
-432/-27 = -27x/-27
16 = x
This means that after 16 weeks Alma will have $145 left in her account
Hope this helped!
You are painting the outside of a 28 -foot fence that goes around a square garden. There are 4 equal sections. You have painted 12 of one section. What fraction of the job have you completed?
If x-2 is a factor of x^2+3x+k, what is the value of k?
What do the numbers listed for an element on the periodic table represent?
The smaller number is the mass, and the greater number is the atomic number.
The smaller number is the number of protons, and the greater number is the mass.
The smaller number is the number of neutrons, and the greater number is the number of electrons.
The smaller number is the number of neutrons, and protons and the greater number is the number of electrons.
Answer:
The smaller number is the atomic number or the number of protons and the larger number is the atomic mass.
Explained:
The number with a lower value is the number of protons and the number with a higher value is the mass.
The periodic table is a tabular arrangement of the chemical elements, ordered by their atomic number (number of protons), electron configurations, and recurring chemical properties.
The correct answer between all the choices given is the first choice or letter A. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.
SungHee empties her piggy bank and finds that she has 200 quaters,150 dimes,and 300 pennies.How much money does she have?Explain
What is LCD of the fraction 1/3 and 3 1/4
dawn raises money for her school in a jog-a-thon. she will get three dollars for every lamp she completes. if it takes 4 laps to job 1 mile, and dawn jogs q total of 11 miles, how much money will dawn raise for her school?
Look at the graph of f(x)=x^2+6x+10. What is the average rate of change between {1,3}?