Answer:A goes with 3
B goes with 1
And C goes with 2
Step-by-step explanation:
Mayerlin has xx dimes and yy nickels. She has no more than 20 coins worth no less than $1.30 combined. Solve this system of inequalities graphically and determine one possible solution.
The region common to both the inequality graphs represents the possible solutions for the given set of inequality.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Mayerlin has {x} dimes and {y} nickels. She has no more than 20 coins worth no less than $1.30 combined
An inequality is used to make unequal comparisons between two expressions or numbers.1 dime equals to 0.10 dollars or (1/10) dollars.1 nickel equals to 0.05 dollars or (1/20) dollars.We can write the inequalities as -
x + y < 20 .... (1)
x/10 + y/20 > 1.30 .... (2)
Refer to the graph of the inequalities attached. The region common to both the inequality graphs represents the possible solutions for the given set of inequality.
Therefore, the region common to both the inequality graphs represents the possible solutions for the given set of inequality.
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complete the following table with mathematical statements that correspond to the proofs used to solve 4(x-3)/3=20
Answer:
x=8
Step-by-step explanation:
you first have to multiply 3times3 and 3 times 4 to get the fraction off
then you bring down 4(x-3)=20
then you multiply 4 times x which you will get 4x then 4 times3 which equals 12 sso you will write it like this 4x-12=20
the you take -12 and add it to 20 and you will get 32
the you just divide 32 and 4 and it will give you the answer
to check it if its right you do 4(8-3)=20
Can Someone please help me with this math problem.
Answer:
\(\huge\boxed{x=9}\)
Step-by-step explanation:
We know that ∠A and ∠B are the same exact length. Since one of the angles is given to us in an exact length, we can set the measures equal to each other.
\(4x + 9 = 45\)
Let’s solve for x.
\(4x +9-9=45-9\\\\4x=36\\\\x=9\)
Hope this helped!
If y varies inversely as X and y=16 when X=4,find y when X=32
\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)
determine if there is an outlier in the given data. if yes, please state the value(s) that are considered outliers. 15,44,54,11,26,14,40,41,31,51,9,27,30,37
The given data set that are less than -26.5 or greater than 68.5 are considered outliers. In this case, the value 9 is an outlier.
An outlier is a value that is significantly different from other values in a data set. To determine if there is an outlier in the given data, we use the Interquartile Range (IQR) formula. This formula is calculated by taking the difference between the 75th percentile (Q3) and the 25th percentile (Q1). The 75th percentile is the value where 75% of the data is less than this value, and the 25th percentile is the value where 25% of the data is less than this value. The IQR formula is then calculated as Q3 - Q1.
In this case, the IQR formula is calculated as follows: Q3 = 37 and Q1 = 14. Therefore, IQR = 37 - 14 = 23.
To determine if there is an outlier in the given data, we then calculate the upper and lower thresholds using the formula \(Q1 - (1.5 * IQR)\) and \(Q3 + (1.5 * IQR)\), respectively. The lower threshold is calculated as 14 - (1.5 * 23) = -26.5 and the upper threshold is calculated as\(37 + (1.5 * 23) = 68.5.\)
Therefore, any values in the given data set that are less than -26.5 or greater than 68.5 are considered outliers. In this case, the value 9 is an outlier.
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FIGURE ABCD BELOW IS A QUADRILATERAL. WHAT IS THE VALUE OF X ?
A. 15
B. 40
C. 45
D. 65
Answer:
x = 45
Step-by-step explanation:
Note that:
The sum of the interior angles of a quadrilateral is 360°.
Angle: ADC+BAD+ABC+BCD = 360°
Thus, Substitute ∠ABC = 3x, ∠BAD = (2x-5) , ∠ ADC = (x+15), ∠ BCD = 80 turn into ADC+BAD+ABC+BCD = 360° :
Also known as :
(x+15) +(2x-5) + 3x+80=360
Solving for x
Add the numbers
x + 90+2x+3x=360
Combine like terms
6x + 90=360
subtract 90 from both sides
6x = 270
x = 45
Hence the value of x = 45
Kavinsky
Answer:
C. 45
Step-by-step explanation:
1) Sum of the interior angles of any shape:
(n - 2) x 180, where n is the number of vertices of a shape. In this case, we have 4 vertices.
= (4 - 2) x 180
= 2 x 180
= 360°
2) Add all the given values equating to 360.
2x - 5 + 3x + 80 + x + 15 = 360
6x + 90 = 360
6x = 360 - 90
6x = 270
x = 270/6
x = 45
(please answer as soon as possible)If two lines intersect at a point, then vertically opposite angles are always: a)Complememtary b)Supplementary c)Unequal d)Equal
Answer:
D
Step-by-step explanation:
This is the veritcal angles theorem
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
y = 500x + 5000
Step-by-step explanation:
You are now a competent person monitoring the IETS at your plant. Despite the frustration
of not getting the annual bonus, you know that you cannot simply use extra coagulant
because the additional turbidity might exceed the acceptable level. In that case, determine
the amount of coagulant that gives you the lowest turbidity value. In any relevant method,
use 0.1% as the stopping criterion
A feasible solution to minimizing turbidity value is through the use of an iterative technique, entailing either gradient descent method or simulated annealing method.
How to minimize turbidityThe stopping criterion for this approach would be at 0.1 percent. It involves sequentially determining water turbidity dependent on the coagulant dosages used in adjustment procedures based on preceding calculated values.
By further implementing this process until the specified percentage average is met, ease and accuracy in assessing turbidity levels are achievable.
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What is the answer to 1/3+1/3+1/4
Answer:
11/12
Step-by-step explanation:
Answer:
Exact form:
11/12
decimal form:
0.9616
*6 repeated
Step-by-step explanation:
Consider two identical containers, one contains 1.5 moles of nitrogen gas at 250K and the other contains 1.5 moles of nitrogen gas at 350K. Which of the following statements is TRUE? *
0 points
The pressure exerted by the nitrogen gas (N2) is the same in both containers
The average speed of the nitrogen gas (N2) molecules is higher in container #1 than in container #2
The rate at which nitrogen gas (N2) molecules collide with the container walls is lower in container #1 than in container #2
The average kinetic energy of the nitrogen gas (N2) molecules is the same in both containers
We want to see which of the given statements is true for the identical containers with nitrogen gas.
The correct statement is:
"The rate at which nitrogen gas (N2) molecules collide with the container walls is lower in container #1 than in container #2"
Remember the ideal gas equation:
P*V = n*R*T
Where P is the pressure, V is the volume, n is the number of moles, R is a constant, and T is the temperature.
Both gases are in identical containers, so both have the same volume. Also both containers have 1.5 moles of nitrogen, so n is the same number for both containers, and R is a constant, so it is the same for both.
The thing that is different is the temperature, for container 1 we have a temperature of 250K, while for container 2 we have a temperature of 350K, then we can write two pressure equations:
\(P_1 = \frac{n*R}{V}*(250k)\\\\P_2 = \frac{n*R}{V}*(350k)\)
Where n*R/V is a constant term.
Then is really clear to see that the pressure exerted by nitrogen will be larger in container 2, because it increases linearly with the temperature and the temperature is larger in container 2.
Also remember that increases in temperature manifest as an increase in the kinetic energy of the molecules of the gas, thus, the container with a larger temperature will have molecules with larger kinetic energy (thus, larger mean velocity)
From the given statements, the only one that is true is:
"The rate at which nitrogen gas (N2) molecules collide with the container walls is lower in container #1 than in container #2"
This collision with the walls is a representation of pressure, this says that container 1 has less pressure than container 2, which is true.
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The population of a city was 10,000 in 2010. The population increase at an annual rate of 2.5% per year. Is the growth model function that represents the population of the city linear?
Answer:
The growth model that represents the population of this city is not linear--it is exponential:
\(f(t) = 10000( {1.025}^{t} )\)
\(t = 0 \: represents \: 2010\)
The following equation can be used to model the distance remaining on route to a destination while traveling at a constant rate of speed
d = 125 - 35t
How many miles will be left to drive after 3 hours?
The distance left after 3 hour's drive is 20 miles.
What is an equation?An equation is a mathematical statement of two expressions connected by an equal sign.
We have.
d = 125 - 35t
d is the distance left after traveling t hours.
Now,
t = 3.
d = 125 - 35 x 3
d = 125 - 105
d = 20
Thus,
The number of miles left after 3 hour drive is 20 miles.
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Use Substitution to solve System of equations
y=-4x
6x-y=30
The solution for the given system of equations is
x = 3
y = -12
What are linear equations in two variables?
Therefore, a linear equation in two variables is any equation that can be written in the form ax + by + c = 0, where a, b, and c are real values, and a and b are not equal to zero.
Given two linear equations of two variables.
y = -4x .....eq 1
6x - y = 30 .....eq 2
We have to solve them using substitution.
Now,
by substituting eq 1 in eq 2,
6x -(-4x) = 30
6x + 4x = 30
10x = 30
x = 3
from eq 1,
y = -4x = -4*3 = -12
Therefore, x = 3 and y = -12
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The number of salted peanuts in a nut mix is 13 times the number of cashews There are 52 peanuts. How many cashews are there? SHOW EXPLANATION
What are the examples of ASA congruence?
Example 1: For Δ ABC, show that AB = AC and Δ ABC is isosceles if the bisector AD of ∠ A is perpendicular to side BC. Also, this condition satisfies the properties of the isosceles triangles.
thus, Δ ABC is an isosceles triangle.
Example 2: Prove that △ACF≅△AEB, if ∠C=∠E and AC=AE.
Elroy bought a $4210 custom video gam e/ virtual sound system on a special no-interest plan. He made
The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.
How is the last payment determined?The last payment amount is the result of the mathematical operations of subtraction and multiplication.
The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.
Using multiplication, the monthly payments are determined to be $3,400 for 17 months. This is subtracted from the remaining balance to obtain the last payment amount.
The cost of a custom video game/virtual sound system = $4,210
Down payment = $100
The remaining balance for monthly payment = $4,110 ($4,210 - $100)
Payment period = 18 months (1¹/₂ years)
Monthly payments = $200
Payment for the first 17 months = $3,400 (17 x 200)
Last payment = $710 ($4,110 - $3,400)
Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.
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Question Completion:He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?
A straight highway is 100 miles long, and each mile is marked by a milepost numbered from 0 to 100. A rest area is going to be built along the highway exactly 7 miles away from milepost 58. If m is the milepost number of the rest area, which of the following equations represents the possible locations for the rest area?
Answer:
Step-by-step explanation:
The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:
m = 58 + 7
This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.
Billy has a credit card with a current balance of $3,500 and a 16% APR. With his current monthly payment, he will be able to pay off this debt in 15 months. But Billy just learned that he is getting a raise at work. If he puts all of the extra income from his raise into his monthly credit card payment, how much additional monthly income would he require from his raise to pay off the credit card in 12 months?
a.
$58.57
b.
$171.37
c.
$258.99
Answer:
$58.57
Step-by-step explanation:
Answer:
answer is A
Step-by-step explanation:
Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.
if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
How to determine the monthly instalment price and instalment price that Daikin needs to pay.Calculating the loan amount for each brand by subtracting the down payment from the cash price:
Loan amount for Daewoo = RM1,899 - RM300 = RM1,599
Loan amount for Daikin = RM1,699 - RM300 = RM1,399
Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699
Calculating the interest charge for each brand:
Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96
Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96
Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96
To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:
Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22
Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89
Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72
Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
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Evaluate the expression.
3-(8 – 7)2 =?
Answer: 2
Step By Step Explanation:
Initially 100 milligrams of a radioactive substance was present. After 5 hours the mass had decreased by 2%. If the rate of decay is proportional to the amount of the substance present at time t, determine the half-life of the radioactive substance
Answer:
The half-life of the radioactive substance is 135.9 hours.
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Last year and investor purchased 115 shares of stock A at $90 per share
The difference in overall loss or gain between sell at the current day's high price or low price is found tp be the difference in overall gain as $280.10
The third option is correct.
How do we calculate?For stock A:High price value: 115 shares * $105.19 per share = $12,084.85
Low price value: 115 shares * $103.25 per share = $11,858.75
For stock B:High price value: 30 shares * $145.18 per share = $4,355.40
Low price value: 30 shares * $143.28 per share = $4,298.40
The overall value at high price:
$12,084.85 + $4,355.40
= $16,440.25
The overall value at low price:
$11,858.75 + $4,298.40
= $16,157.15
In conclusion, the difference in overall gain or loss:
$16,440.25 - $16,157.15 = $280.10
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can someone EXPLAIN this to me? you don't have to answer the questions. They are for my college class. Last assignment! thank you..
PLEASE HELP!!!!!!!!!!!!!
which of the following refers to the scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable?a. Autocorrelation b. Covariance c. Interaction d. Multicollinearity
The scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable is called interaction. The correct answer is C.
Interaction refers to the scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable. In other words, interaction occurs when the effect of one independent variable on the dependent variable depends on the level of another independent variable.
This can be represented in an interaction plot, where the lines representing the relationship between the dependent variable and one independent variable have different slopes at different levels of the second independent variable.
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Which graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of the rice? On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5). On a coordinate plane, blue diamonds appear at points (0, 0), (1, 2), (2, 4). On a coordinate plane, a straight line with a positive slope begins at point (negative 2.5, negative 5), crosses the x- and y-axis at point (0, 0), and ends at point (2.5, 5). On a coordinate plane, blue diamonds appear at points (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4). Mark this and return
Answer:
On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5)
Step-by-step explanation:
The distinction between "straight line" and "blue diamonds" is that the straight line represents the relation for all possible values of x. The blue diamonds show the values of y for very specific values of x.
Since x is the amount of rice from a bulk bin, we assume it can take any non-negative value. Hence, the graphs with negative values or with "blue diamonds" are not appropriate.
The straight-line graph in the first quadrant is the best choice.
Answer:
The answer is graph 1
Step-by-step explanation:
On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5).
A company manufacturing computer chips finds that 8% of all chips manufactured are defective. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate. Which of the following statement is true about this hypothesis test?a) The additional training significantly increased the defect rate.b) The additional training significantly lowered the defect rate.c) The additional training did affect the defect rate.d) The additional training did not significantly lower the defect rate.e) None of these.
Answer:
d) The additional training did not significantly lower the defect rate
Step-by-step explanation:
Let proportion of defective chips be = x
Null Hypothesis [H0] : Additional training has no impact on defect rate x = 8% = 0.08
Alternate Hypothesis [H1] : Additional training has impact on defect rate x < 8% , x < 0.08
Observed x proportion (mean) : x' = 27 / 450 = 0.06
z statistic = [ x' - x ] / √ [ { x ( 1-x ) } / n ]
( 0.06 - 0.08 ) / √ [ 0.08 (0.92) / 450 ]
= -0.02 / √ 0.0001635
= -0.02 / 0.01278
z = - 1.56
Since calculated value of z, 1.56 < tabulated value of z at assumed 0.01 significance level, 2.33
Null Hypothesis is accepted, 'training didn't have defect rate reduction impact' is concluded
Please help me out hereee eeee
Answer:
Draw 9 rectangles and divide each in halves. Count the halves.
A tela telephone company offers two different types of billing the First Choice was to pay $10 per month plus $0.09 per MB of data the second choice is to pay $16 per month plus $0.07 per MB of data part a writing system of equations to model the situation the total cost for 1 month with each company Part B how many MB of data would you have to use in one month in order for both plans to cost the same amount explain how you determine your answer