The term given to a number sentence with expresses the equality between two expressions is called an equation.
Word problems are usually solved Mathematically by converting problems in a given scenario into a number sentence. When a number sentence is written such that the expression on the right and left hand side are seperated by an equality sign, then the expression is reffered to as an equation. For instance ; 2a + 8 = 15 is an equation.Therefore, two expressions seperated by an equality sign is called an equation.
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Is it possible to divide 15 by a mixed number an get a quotient greater than 15
What value of x makes the equation below true? 6x-9 39
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!
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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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%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
Monisha and Dave each sold more magazine subscriptions as part of a fundraiser Monisha rays have as much money as the rays together the race $213.75 what is the total amount of money the money she has raised
a story problem for 7 ×6=42
If 2 and 4 each divide q without remainder which of the following must q divide without remainder
Determine the amount potential energy of 5.0kg book that is moved to three different shelves on a bookcase. The height of each Shelf is 1.0 m, 1.5
What is LCD of the fraction 1/3 and 3 1/4
how do i write a direct variation given that y varies directly with x
x: 15 y: -5
If 1 liter = 1.057 quarts, how many quarts are in 1 kiloliter?
When is A divided by B equal to an integer? Explain please.
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?
In a class of 160 students, 90 are taking math, 78 are taking science, and 62 are taking both math and science. What is the probability of randomly choosing a student who is taking only math
The probability of choosing a student who is taking only math from a class of 160 students, with 90 taking math and 62 taking both math and science, is 0.175.
The question asks for the probability of randomly choosing a student who is taking only math in a class of 160 students, where 90 are taking math, 78 are taking science, and 62 are taking both math and science. To find the number of students taking only math, subtract the number of students taking both subjects from the total number taking math (90 - 62 = 28). The probability is then the number of students taking only math divided by the total number of students, which is 28/160.
The probability can be calculated as 28 divided by 160, or 0.175.
help??????
Referring to the Fig. in Question #19, write the equation in standard form of the horizontal line through the point (3,0).
Answer:
the answer is y=0
Step-by-step explanation:
Kai is making a chess board using pieces of wood that measure 1 in.². When he finishes, the chessboard will have an area of 64 in.². How many pieces of wood should he put along each side.
Answer:
8
Step-by-step explanation:
SungHee empties her piggy bank and finds that she has 200 quaters,150 dimes,and 300 pennies.How much money does she have?Explain
Bella uses 56 beats to create a necklace.she wants to make 23 necklaces for a craft show. unfortunately,she was 15 beads short and cannot finish the last necklace.how many beads did she start with?
Carmelo puts $2,200.00 into savings bonds that pay a simple interest rate of 3.4%. How much money will the bonds be worth at the end of 5.5 years?
The bonds will be $2611.40 at the end of 5.5 years.
What is simple interest rate?Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Simple interest rate formulaF.V = [tex]P.V (1+rt)[/tex]
F.V = Final value
P.V = Principal value
Given
Principal value P.V = $2200.00
Rate r = 3.4%
Time t = 5.5 years
Simple interest rate formula
F.V = [tex]P.V (1+rt)[/tex]
F.V = [tex]2200(1+3.4 \% \times 5.5)[/tex]
F.V = [tex]2200(1+0.034 \times 5.5)[/tex]
F.V = 2200 × 1.187
F.V = 2611.40
Hence,
The bonds will be $2611.40 at the end of 5.5 years.
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here are 96 girls in a junior class of 176 students. Find the ratio of girls to boys.
Which sets of values can be the measures of the exterior angles of a triangle?
120°, 110°, 130°
35°, 103°, 122°
123°, 87°, 220°
120°, 120°, 120°
123°, 157°, 90°
can be more than one answer
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.
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?
solve each equation x-6=8
The solution to the equation x - 6 = 8 is x equal to 14.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression x - 6 = 8.
Now, Separating the variable and constants by moving them to other sides
we have, x = 8 + 6.
x = 14.
Also moving terms to the other sides changes its sign.
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21 is what percent of 42
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)
At a wedding reception, an equal number of guests were seated at 12 round tables. The 13 people in the wedding party were seated at a rectangular table. There were 121 people at the reception altogether. Which equation could you use to find the number of guests, n, seated at each round table?
Graph y-5=-2/3(x+9)
50 points !!!