Using simple linear equation we calculate the cost of a sweater as $35 .
A linear polynomial over a field, from which the coefficients are taken, can be equalised to zero to produce a linear equation.
The numbers that, when used to replace the unknowns in such an equation, result in the equality, are the solutions.There is just one possible answer when there is only one variable (providing that. The term "linear equation" frequently alludes indirectly to this specific situation, in which the variable is appropriately referred to as the "unknown."Let the cost of each sweater be x.
Cost of the skirt = $20
Let us form a linear equation to calculate the required cost
4x + 20 = 160
solving we get :
x = 35
Therefore the cost of a skirt is $35.
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My number is three different digits, the sum of the digits is equal to 3x5, the hundreds digit is the only odd digit, i'm greater than 30x9 and less than 50x9
Answer: 735
Step-by-step explanation:
H
3. A scale drawing of a rectangular park is 9 inches wide and 12 inches long. The scale used is
1 inch = 18 feet. What is the area of the actual park in square feet?
Answer: Area = 34992 square feet
Step-by-step explanation:
W = (9*18)
L = (12*18)
Area = W*L
Therefore, Area = 34992, and don't forget square feet
Solve the inequality.
x-4.5> -1.8
Whats the
Inequality:
Answer: x>2.7
Step-by-step explanation:
Mila bought stock in a company two years ago that was worth x dollars. During the first year that she owned the stock, it decreased by 35%. During the second year the value of the stock decreased by 32%. Write an expression in terms of a that represents the value of the stock after the two years have passed.
Mila bought stock in company two years ago that was worth x dollars. During first year that she owned the stock, it decreased by 35%. During second year the value of the stock decreased by 32%, an expression in terms of a that represents the value of the stock after the two years have passed is 2x+0.67.
What do you mean by percentage?It is not always obvious from the context what a % is in relation to because of inconsistent usage. The typical meaning of a "10% rise" or "10% decline" in a quantity is that this refers to the quantity's starting value. As an illustration, the new price of a $200 item would be $220 if the price increased by 10%, or $20. The final price is equal to 100% of the starting price (100% + 10% = 110%).
Other instances of % changes include:
If a quantity is increased by 100%, the final amount will be 100% more than the original amount (100% of initial + 100% of increase = 100% of initial). The quantity has therefore doubled.
If an amount is increased by 800%, the final sum will be nine times as large as the original (100% + 800% = 900% = 9 times as large).
When something is reduced by 60%, the final sum equals 40% of the original (100% - 60% = 40%).
A reduction of 100% results in a final value of 0% (100% - 100% = 0%).
In general, if a quantity is changed by x percent, the final amount will be 100 + x percentage of the original amount, or (1 + 0.01x) times the original amount.
x-35%+x-32%
⇒[tex]x-\frac{7}{20} +x-\frac{8}{25}[/tex]
⇒[tex]2x+(\frac{-175-160}{500})[/tex]
⇒2x+0.67
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find the equation that is perpendicular to the line 8x-6y=-5 and passes through (1,-3)
pls help omg its 2am and i need to get this done by tomorrow
The equation of the perpendicular line in slope intercept form is
y = (-3/4)x - 9/4.
What is the slope?The slope is defined as the rate of change of the y-axis with respect to
x-axis.
We know equation of a line in slope intercept form is y = mx + b, where slope = m and y-intercept = b.
We also know that perpendicular lines have a slope that is negative reciprocal of each other.
Given line is 8x - 6y = -5.
-6y = - 8x - 5.
-y = (-8/6)x - 5/6.
-y = (-4/3)x - 5/6.
y = (4/3)x + 5/6.
∴ Slope(m) = 4/3.
So, the line which is perpendicular has a slope(m) = -3/4 with points (1,-3).
∴ - 3 = (-3/4)(1) + b.
- 3 = -3/4 + b.
b = 3/4 - 3.
b = -9/4.
∴ The equation of the line is y = (-3/4)x - 9/4.
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to determine her blood sugar level, keri divides up her day into three parts: morning, afternoon, and evening. she then measures her at randomly selected times during each part of the day.
This is a way which is used to take sample randomly from the population. therefore, Keri took 4 random sample from each part of the day.
The stratified sampling can be defined as the sampling from the population which is partitioned or divided into many parts.
Here, the lady has divided her day into three parts morning, afternoon and evening.
This is a way which is used to take sample randomly from the population. therefore, Keri took 4 random sample from each part of the day.
This is a type of stratified sampling.
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63 divided by 7 x 3 - 4
Step-by-step explanation:
Dmas divide multiple add subtract
divide 63 by 7 = 9 then multiply by 3 = 27 then subtract by 4 27-4 = 23
your awnser is 23
The value of the expression is -1.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
63 ÷ 7 x 3 - 4
Using PEMDAS rule of operation.
We multiply first.
So,
= 63 ÷ 21 - 4
Using the division.
= 63/21 - 4
= 3 - 4
= -1
Thus,
The value of the expression is -1.
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43 = -3w - 6w -29 solve for w and simplify your answer as much as possible
Answer:
w = -8
Step-by-step explanation:
43 = -3w - 6w -29
combine w terms on right side:
43 = -9w -29
add 29 to both sides:
43 + 29 = -9w -29 + 29
72 = -9w
divide both sides by -9:
72/-9 = -9w/-9
w = -8
Halp Brainliest to correct answer
Answer:
A. The total number of hours it takes to make dresses and skirts each month
Step-by-step explanation:
By multiplying the amount of time to make an item by the amount of items made, you get the total amount of time spent on making those items. Therefore the total time spent making dresses is 8x, and the total time spent making skirts is 3y, which means that the total time to make both is 8x+3y.
it is estimated that the world's population is growing at a rate of 1.14% per year. On January 1st 2014 the population was 7.23 billion a) Find the expected population on January 1st 2020
The most appropriate choice for growth and depreciation will be given by:
Population on 1st January 2020 is 7.74 billion
What is growth and depriciation?
The increase in the value of a product over a period of time is called growth.
If V is the value after n years and [tex]V_0[/tex] is the present value r is r% per annum.
[tex]V=V_0(1 + \frac{r}{100})^n[/tex]
The decrease in the value of a product over a period of time is called depriciation.
If V is the value after n years and [tex]V_0[/tex] is the present value r is r% per annum.
[tex]V=V_0(1 - \frac{r}{100})^n[/tex]
Population on 1st January 2014 = 7.23 billion
Rate of growth of population = 1.14%
Population on 1st January 2020
[tex]7.23(1 + \frac{1.14}{100})^6\\7.23(1+0.0114)^6\\7.23(1.0114)^6\\[/tex]
[tex]7.74[/tex] billion
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Rex and Gavin were splitting nachos. Rex ate 5/6 of the nachos
and Gavin ate of the nachos.
1/8
What fraction of the nachos did they eat together?
Answer: 23/24
Step-by-step explanation:
1) Set up the equation
[tex]\frac{5}{6} + \frac{1}{8}=?[/tex]
2) Set the fractions equal to each other
Find a number that can make both denominators the same.
What I found is that both numbers can multiply by 24! By multiplying the same number on the denominator and numerator ([tex]\frac{4}{4}[/tex]), the fraction doesn't change.
[tex]\frac{4}{4} * \frac{5}{6} + \frac{1}{8} * \frac{3}{3} =?\\\frac{20}{24} + \frac{3}{24}=?[/tex]
3) Add up the fractions
[tex]\frac{23}{24}}=?[/tex]
Jack and Jill took a trip to Grandma’s house. It took them 8 hr to get to Grandma’s house but on their way back home they took the scenic route, which is 20 mi longer. If their speed going home was 10 mi/hr less than their speed going to Grandma’s house, and if it took them 10 hr to get home, how far did they travel going to Grandma’s and what was their average speed on the trip there?
Answer:
Let s be the distance to Grandma’s and v the speed they went to get to Grandma’s.
So s=8v, because it took them 8 hours to get there.
Coming back they travelled s+20 miles. Since s=8v we can write this as 8v+20 miles.
Their speed was reduced by 10mph so that’s v-10. It took them 10 hours to return so:
8v+20=10(v-10); 8v+20=10v-100; 120=2v
so v=60mph. This is their average speed going to Grandma’s.
(not 100% sure but give it ago)
find h from 3-h/V
help
By "undoing" the common logarithm by exponentiating both sides with base 10 to obtain [H+] = 10pH. "Solution A" has a hydrogen ion concentration of [H+] = 105.6 0.0000025 = 2.51 106 M.
How can I determine H value?The number of articles for which an author has been cited at least that many times by other writers is used to compute the h-index. For instance, a scientist with an h-index of 17 has at least 17 papers to their credit, each of which has been mentioned at least 17 times.
At pH 7, [H+] = [OH-] = 1 x 10-7 M, the molarity of acidic H+ ions matches the molarity of basic OH- ions.
The pH of threeThe pH scale is logarithmic, which means that an increase or decrease in an integer number will result in a tenfold change in concentration. A pH of 3 is ten times more acidic than a pH of 4, for instance. Similar to how a pH of 3 is 100 times more acidic than a pH of 5, so is a pH of 5. A pH of 11 is also ten times more basic than a pH of 10, for example.
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Simplify (8.1)(8.12)4.
Answer: 263.088
Step-by-step explanation:
Multiply the equation
¨What does Multiply mean?¨
To compute a product; to perform a multiplication.
(8.1) x (8.12) x 4
Answer c
Step-by-step explanation: I did the test i hope this help unlike that girl who just wrote random numbers anyways have a good day
Dorothy wants to purchase a car. She reviewed her budget and can comfortably afford a car payment of $490 per month. She has good credit and anticipated being able to secure a 4-year loan at 4% interest.What is the maximum cost she should pay for a car to stay within her budgeted monthly amount?
$21702.
$19762.
$16185.
$10386.
The maximum cost Dorothy should pay for the car to stay within her monthly budget amount is $23,518.84. See the explantion below.
What is a budget?A budget is a financial plan that takes into account both income and costs. In other words, it's a projection of how much money you'll make and expend over a specific time period, such as a month or a year.
The calculation that justified the above amount is solved as follows:
Given that:
Rate = 4%
Time = 4 years
The monthly payment is $490, to determine the amount (maximum) in 4 years, we use the Compound Interest formula:
A = P (1+ (r/n)ⁿᵇ
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
b = number of time periods elapsed
A = P (1 + (0.04/1)^(1x4)
A = P (1.04)⁴ in four years
Hence, given that the monthly payment over the four-year period is $490, we say:
P [(1.04)⁴] /12 x4 = 490
⇒ P (1.04)⁴ = 490 x 48
P = (490 x 48)/1.1699
P = 20104.2824173
P [tex]\approx[/tex] 20,104
The maximum amount payable hence
= 20,104 (1.04)⁴
A = 23518.837
A [tex]\approx[/tex] 23,518.84
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A mortician works 45 hours a week. 15 hours are spent doing paperwork. Another mortician works 25 hours a week and spends 8 hours, 20 minutes on paperwork. Which mortician spends the greater fraction of time working on paperwork? Why?
The two mortician spent equal fraction on time working to paperwork
Comparing FractionsIn the given question, we have two mortician that work different hours.
The first mortician worked 45 hours a week and spent 15 hours doing paperwork.
The second mortician worked 25 hours a week and spent 8.33 hours on paper work.
Let's compare the ratios and find which mortician had a greater fraction on paperwork.
Mortician A
[tex]\frac{15}{45}= 0.3[/tex]
Mortician B
[tex]\frac{8.333}{25} = 0.3[/tex]
From the calculation above, both mortician spent equal ratio of time doing paperwork.
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The personal assets and liabilities of a dentist are listed below.
What is the dentist's personal net worth if they pay off their student loans?
O $105,641
O $121,998
O $159,686
O $381,585
The net worth of the dentist is $381,585. And the correct option is D.
What is net worth?A person's or company's net worth is the value of their assets less the amount of liabilities they have.
The personal assets and liabilities of a dentist are listed below.
Car Value = $26,250
Car Loan = $4,600
Savings Account Balance = $42,607
Office Equipment = $19,400
Student Loans = $2,949
Credit Card Balance = $413
Checking Account Balance = $79,391
Home Value = $218,950
Net Worth of Dentist's
= Personal assets - liabilities
= 26250 - 4600 + 42607 + 19400 +79391 + 218,950 - 413
= 386598 - 4600 - 413
= 381585
= $381,585
Therefore, net worth is $381,585.
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What is 81  divided by 11016
Wright 25*10^6 in standard form
Answer:
2.5*10^7
Step-by-step explanation:
standard form means 1 number before the decimal
Jess puts 2 yellow counters and 1 blue counter in a bag. She then puts
more blue counters in the bag.
She is going to take one counter without looking. The probability that the
counter will be blue is.
How many more blue counters did Jess put in the bag?
Jess put 7 blue counters in the bag.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The study of probability is a field of mathematics that determines the probability of an event occurring, which is represented by a number between 1 and 0.
Given Data
Jess puts 2 yellow counters and 1 blue counter in a bag. She then puts
more blue counters in the bag.
Let x be the counter she puts in the bag
Total = 1 + 2+x
Total = 3 + x
Blue counters = 1 + x
Probability:
[tex]\frac{1+x}{3+x}[/tex] = [tex]\frac{4}{5}[/tex]
5(1+x) = 4(3 +x)
5 + 5x = 12 + 4x
x = 7
Jess put 7 blue counters in the bag.
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in the questionnaire design process, what is the first step? determine the data-collection method determine the survey objectives, resources, and constraints decide on question wording determine the question response format
There are nine different steps in questionnaire design process among which the first step is to decide upon the information required.
A good survey needs a well-designed questionnaire. However, as there is no theory of questionnaires to serve as a guide, the researcher must build his or her own intuition for what constitutes "excellent design."
A good questionnaire should directly contribute to the accomplishment of the study's goals, give complete and accurate data, be simple for interviewers and respondents to complete, allow for solid analysis and interpretation, and be brief.
The design of a questionnaire will depend on whether the researcher wants to gather quantitative data or qualitative data for the sake of better understanding or developing hypotheses about a subject (to test specific hypotheses that have previously been generated).
In the questionnaire design process, there are in all nine steps in developing the questionnaire -
Decide the information required.Define the target respondents.Choose the method(s) of reaching your target respondents.Decide on question content.Develop the question wording.Put questions into a meaningful order and format.Check the length of the questionnaire.Pre-test the questionnaire.Develop the final survey form.Thus, the first step in the questionnaire design process is to decide the information required.
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What is the biconditional statement that corresponds to “congruent angles are angles with the exact same measure”
Two angles are congruent if and only if they have the same measure.
Given,
“Congruent angles are angles with the exact same measure”
To define the Biconditional Statement:
Now,
What is Biconditional Statement ?
If two angles have the same measure, then the angles are congruent and if two angles are congruent, then the angles have the same measure.
"If two angles are congruent, then they have the same measure."
P = two angles are congruent.
Q = they have the same measure.
Hence, Two angles are congruent if and only if they have the same measure.
or: P if and only if Q, this is biconditional.
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"What is the constant of proportionality? Write your answer as a whole number or decimal." pleas help me with this tyty
The proportionality is the direct relation of two variables thus the constant of proportionality of the given graph is 1/2.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
For example x ∝ y
The graph of seconds and ounces has shown.
If we look at the graph it is clear that as the ounces are increasing the seconds are also increasing. Therefore, it is a direct proportion.
Let's suppose the proportion is x ∝ y where x is ounces while y is seconds.
Removing proportionality,
x = ky
k = x/y
Substitute,(x,y) = (1,2)
k = 1/2
Hence "The proportionality is the direct relation of two variables thus the constant of proportionality of the given graph is 1/2".
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Of the 160 seventh graders, 3/4 went to the pep rally. How many students went?
=======================================================
Explanation:
Draw a circle and split it into 4 equal pieces.
We'll split the 160 students into four equal groups
160/4 = 40
Write the number 40 in each slice. Shade 3 of those slices to represent 3*40 = 120 students went to the pep rally (the remaining 40 did not go).
Answer:
120
Step-by-step explanation:
Take the 160 divide by ¾ to get 120.. These are the number of students who went
Jackie's grandfather gave her $250 for her birthday. Jackie asked her mother to save it for her and only
give her $10 each week. The amount of money remaining each week can be found using the function
A(t) 250-10t, where t is the number of weeks since her birthday.
What are the domain and range of the function for this situation?
A)Domain: 0 sts 250, te Z
Range: 0 ≤ A(t) ≤ 25, where A(t) = 250-10t
B)Domain: tER
Range: A(t) € R
C)Domain: 0 st s 25, te Z
Range: 0 ≤ A(t) ≤ 250, where A(t) = 250 - 10t
D)Domain: t≥ 0, tez
Ranne: Aft) > 0. where A(t)= 250 - 10r
The domain and range of the function for this situation include:
C. Domain: 0 ≤ t ≤ 25,
Range: 0 ≤ A(t) ≤ 250, where A(t) = 250 - 10t
What is a domain?A domain is a collection of potential input values. All input values visible on the x-axis make up the graph's domain. The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range for a relation.
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
For her birthday, Jackie's grandfather gifted her $250. Jackie pleaded with her mother to set aside money for her and limit her weekly checks to $10. The function can be used to determine how much money is left each week.
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I need help asap!!
What Is the slope of the line on the graph?
Answer:
[tex]m = \frac{2 - 4}{ 6 - 0} = \frac{ - 2}{6} = - \frac{1}{3} [/tex]
Hi that would be -1/3 or 1/-3 either one is correct.
Question 8 options:
4x-3
x=2
4(2)-3
The
property is used here.
Answer:
the property is used here in 4(2)-3
The required property that is used is the substitution of values in the variable.
Given that,
A simplification of the expression is given we have to determine which property is used in the simplification,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As in the simplification shown that the variable x is substitute by the constant value 2, so this property can be stated as the substitution property.
Thus, the required property that is used is the substitution of values in the variable.
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help me with this please
Answer:
awnser is b dived by a plus k
Please do Equations A-D!!! Find the discriminant, numbers of roots, and type of roots and tell me which method you used to solve. Thank you in advance!! I will mark BRAINLIEST!!!
Discriminant for A-3, (2 imaginary solution)
Discriminant for B-1152 (2 real solutions)
Discriminant for C-400 (2 real solutions)
Discriminant for D-96 (2 real solutions)
I hope I was able to help some of it!
Use the graph to estimate the x- and y-intercepts of this function and describe where the function is positive and negative.
Answer:
the graph you want is
Step-by-step explanation: