Supplementary angles have a sum of 180°
Therefore, we can add the expressions for Angles A and B and set their sum equal to 180.
( 7x - 15 ) + ( 2x - 3 ) = 180
Now we can combine like terms and use inverse operations to find the value of x:
( 7x - 15 ) + ( 2x - 3 ) = 180
9x - 18 = 180
9x - 18 + 18 = 180 + 18
9x = 198
9x/9 = 198/9
x = 22
Then Angle A will have a measure of 7x - 15 or 7• 22 -15 = 154 - 15 = 139°
m∠A = 139°
The measure of Angle b will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°
m∠ B = 41°
NOTE: 139 + 41 = 180
A spring concert at a certain high school sold 152 tickets. Students were charged 5 dollars each and adults were charged seven dollars each. The income from the ticket sale was 922 how many students and how many adults bought tickets?
Show work
Answer:
Students(x)= 71
Parents(y)= 81
Step-by-step explanation:
Point Form:
(71, 81)
Equation Form:
x= 71 , y= 81
5x+7y=922
x+y=152
Which products have the same sign as (Negative 2 and StartFraction 3 over 7 EndFraction) (Negative StartFraction 6 over 11 EndFraction)? Check all that apply. StartFraction 3 over 8 EndFraction (Negative StartFraction 6 over 7 EndFraction) 1 and StartFraction 2 over 9 EndFraction (2 and StartFraction 6 over 17 EndFraction) Negative StartFraction 9 over 20 EndFraction (3 and four-fifths) Negative one-third (Negative two-thirds)
Multiplication is the process of multiplying. The products that have the same sign as the product of -2 3/7 and -6/11 are B and D.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The product of two positive numbers and the product of two negative numbers both are positive while the product of a negative number and a positive number is negative. Therefore, the product of -2 3/7 and -6/11 is positive, since both are negative.
A.) 3/8 × (-6/7) = Negative
B.) 1 2/9 × 2 6/17 = Positive
C.) -9/20 × 3 4/5 = Negative
D.) -1/3 × -2/3 = Positive
Hence, the products that have the same sign as the product of -2 3/7 and -6/11 are B and D.
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Which products have the same sign as (Negative 2 and StartFraction 3 over 7 EndFraction) (Negative StartFraction 6 over 11 EndFraction)? Check all that
waiting times to receive food after placing an order at the local subway follow an exponential distribution with a mean of 60 seconds. what is the probability a customer waits less than 30 seconds?
It is discovered that there is a 0.3934, or 39.34%. likelihood that a customer waits fewer than 30 seconds using the exponential distribution.
Define the term exponential distribution?The exponential distribution is a mathematical distribution used in test statistic that frequently addresses the amount of time until a given event occurs. Events occur continually, independently, and at a steady average pace during this process.The following equation describes an exponential probability distribution with mean m:
f(x) = μe∧(- μe)
The decay parameter is in the following:
μ = 1/m
When x is less than or equal to a, the probability is given by:
P(X ≤ x) = ∫ f(x) dx (limits 0 → a)\
which can be resolved as follows:
P(X ≤ x) = 1 - e∧(- μe)
Since 60 seconds is the mean in this problem, then decay parameter is:
μ = 1/60
The likelihood that a customer will wait under 39 seconds is:
P(X ≤ 30) = 1 - e∧(- 30/60)
P(X ≤ 30) = 0.3934
Thus, the probability that a consumer will wait less than 30 seconds is 0.3934, or 39.34%.
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Students are painting a 14 ft by 19 ft
mural. If a can covers 75 square feet,
how many cans of paint do they need
to buy to complete the entire mural?
Answer:4 cans
Step-by-step explanation:
Given
Painting dimensions \(14\ ft\times 19\ ft\)
A paint can covers \(75\ ft^2\) area
no of the cans required is
\(\Rightarrow n=\dfrac{14\times 19}{75}\\\Rightarrow n=\frac{266}{75}=3.54\approx 4\)
A salesperson at a jewelry store earns 6% commission each week. Last week, jarrod sold $680 worth of jewelry. How much did make in commission? How much did the jewelry store make from sales?
Answer:
1/ $ 4.08
2/ $675.92
Step-by-step explanation:
Take 68 times 0.06% = $4.08
680 - 4.08= 675.92
Answer:
Step-by-step explanation:
40.80 it told me the answer
Fatima is taking a test that is 45 minutes long.
She finishes the test at 10:50 a.m.
What time did she start the test?
Answer:10:05
Step-by-step explanation:
subtract 45 from 50!
Answer:
She started the test at 10:05 am
Step-by-step explanation:
Take the end time and subtract the time of the test
10:50-45 = 10:05
She started the test at 10:05 am
What is the answer to 4 + (-3)=
Answer
1
Explanation
4-3=1
Answer:
The answer is 1
I recommend using Symbolab it'll give you your answers a lot faster.
Step-by-step explanation:
Help me please this is due in 10 mins. I’ll mark brainliest for the correct/best answer
Answer:
ok
Step-by-step explanation:
first graph: 3.5, 3.5, 3.5, 3.5, so this one is yes
second graph: 2.5, 2.3, 2, 1.5, so no
third graph: 2, 2, 2, 2 this one is yes
sorry the first time i was wrong
what should be done first to simplify 18 – 3 + 5 + 2 – 13 + 12 ??
answer:
18 - 3 should be done first.
step-by-step explanation:
this should be done because of PEMDAS. the rule states that between addition and subtraction, you have to go from left to right. therefore, 18-3 comes first when going from left to right.
-- please mark the brainliest and click the thanks button if correct :)
Point A is the pre-image of a vertex of a square and is located at (-10,8). The square is dilated with the center of dilation at the origin. Point A' is the image and is located at (-7.5,6). What is the scale factor of the dilation?
Answer:
the scale factor would be .75 or 3/4
Step-by-step explanation:
Answer:
the answer is .75
Step-by-step explanation:
PLEASE HELP ME ASAP!!!!!!!!!
TY! :)
Answer:
No solution.
Step-by-step explanation:
Tried a lot but the answer is constantly 0. I guess it's A.
Answer:
C. infinite
Step-by-step explanation:
Should Shrek get into smash bros ultimate. Explain why or why not
1.Yes
2.No
3.I like ice cream
Answer:
1. & 3.
Step-by-step explanation:
First: Super Smash Bros Ultimate is a really good game so YES
Third: I mean Ice cream is the best dessert so of course I LIKE ICE CREAM
Answer:
4
Step-by-step explanation:
Shrek is in the game, you just have to take sheik's name ad an r after the h.
Then you get shreik!
Elizabeth’s credit card computes her finance charges using the previous balance method and a 30-day billing cycle. The table below shows Elizabeth’s credit card transactions in July. Date Amount ($) Transaction 7/1 969. 26 Beginning balance 7/3 45. 00 Payment 7/10 67. 48 Purchase 7/12 20. 00 Payment 7/28 85. 00 Payment If Elizabeth has an APR of 14. 61%, how much will her July finance charge be? a. $9. 97 b. $12. 62 c. $11. 80 d. $10. 80.
To calculate Elizabeth's finance charge using the previous balance method, we need to determine the average daily balance and then apply the APR (Annual Percentage Rate) to calculate the finance charge.
First, let's calculate the average daily balance:
Beginning Balance: $969.26
Days until payment: 2 (from July 1st to July 3rd)
Payment: $45.00
Days until purchase: 7 (from July 3rd to July 10th)
Purchase: $67.48
Days until payment: 2 (from July 10th to July 12th)
Payment: $20.00
Days until payment: 16 (from July 12th to July 28th)
Payment: $85.00
To calculate the average daily balance, we sum up the balances for each day and divide it by the total number of days in the billing cycle (30 days).
Average Daily Balance = (969.26 × 2 + 0 × 7 + 67.48 × 2 + 0 × 16) / 30 = $85.95
Next, we can calculate the finance charge using the APR:
Finance Charge = Average Daily Balance × (APR / 365) × Number of Days in the Billing Cycle
Finance Charge = 85.95 × (0.1461 / 365) × 30 ≈ $9.97
Therefore, Elizabeth's July finance charge will be approximately $9.97. The correct answer is option a.
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Tom made $450 selling CDs last month. That total increased to $513 this month. What was the percent increase? (pls answer)
Answer:
14%
Step-by-step explanation:
Find a number that is a solution of the inequality x < –8.
–5
0
–10
Answer:
-10
Step-by-step explanation:
hope this can help :)
Answer:
-10
Step-by-step explanation:
because 0 is greater than all the other numbers and -5 is closer to 0 than -10.
you want to obtain a sample to estimate a population mean age of the incoming fall term transfer students. based on previous evidence, you believe the population standard deviation is approximately . you would like to be 99% confident that your estimate is within 2.3 of the true population mean. how large of a sample size is required?
We need an approximate sample size of n = 122 to estimate the population means the age of the incoming fall term transfer students, with a population standard deviation of 5.4, a margin of error of 2.3, and a confidence level of 99%. Therefore, the answer is 122.
The formula for calculating the sample size, given the population standard deviation, the desired level of confidence, and the margin of error, is as follows:
n = (zα/2)² * σ² / E²
Where, α is the significance level, zα/2 is the z-score at the α/2 percentile of the standard normal distribution, σ is the population standard deviation, E is the margin of error
To calculate the sample size required to estimate the population means age of the incoming fall term transfer students, with a population standard deviation of 5.4, a margin of error of 2.3, and a confidence level of 99%, we can substitute these values in the formula:n = (zα/2)² x σ² / E²
Where α = 0.01 (since we want a 99% confidence level, we need to subtract 1 from 100 and convert it to a decimal)
E = 2.3σ = 5.4
Using a z-table or a calculator, we can find the z-score at the 0.005 level of the standard normal distribution. The z-score is approximately 2.576.
n = (2.576)² * (5.4)² / (2.3)²
n ≈ 121.28
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What is 0.00005 in standard form?
Answer:
0.00005 is in standard form.
Step-by-step explanation:
log (z ^ 3)/(x ^ 4 * y ^ 5) with steps please
Answer:
Step-by-step explanation:
A'B'C' is the image of AABC under a translation.
Answer:
no
Step-by-step explanation:
it will be b from baac
Average daily sales of a product are 8 units. The actual number of sales each day is either 7, 8, or 9, with probabilities 0.3, 0.4, and 0.3, respectively. The lead time for delivery of this averages 4 days, although the time may be 3, 4, or 5 days, with probabilities 0.2, 0.6, and 0.2. The company plans to place an order when the inventory level drops to 32 units (based on the average demand and average lead time). The following random numbers have been generated: 60, 87, 46, 63 (set 1) and 52, 78, 13, 06, 99, 98, 80, 09, 67, 89, 45 (set 2).
The reorder point for the product is 36 units.
To determine the reorder point, we need to consider the average daily sales and the average lead time.
Average daily sales: The average daily sales of the product are given as 8 units.
Average lead time: The average lead time for delivery is 4 days, with probabilities of 0.2, 0.6, and 0.2 for 3, 4, and 5 days, respectively. We can calculate the expected lead time as follows:
Expected lead time = (Probability of 3 days * 3) + (Probability of 4 days * 4) + (Probability of 5 days * 5)
Expected lead time = (0.2 * 3) + (0.6 * 4) + (0.2 * 5)
Expected lead time = 0.6 + 2.4 + 1
Expected lead time = 4 days
Reorder point calculation: The reorder point is the inventory level at which an order needs to be placed to avoid stockouts. It is determined by multiplying the average daily sales by the average lead time. In this case:
Reorder point = Average daily sales * Average lead time
Reorder point = 8 units * 4 days
Reorder point = 32 units
Therefore, the reorder point for the product is 32 units.
The provided random numbers (sets 1 and 2) are not used in the calculation of the reorder point. They might be relevant for other parts of the problem or for future analysis, but they are not necessary for determining the reorder point in this case.
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answer choices:
A. M+N
B. M*N
C. S+T
D. S*T
E. N+T
F. N^2
Answer:
A, B, E are irrational
Step-by-step explanation:
You want to know which expressions result in an irrational number from the given expressions involving rational and irrational numbers.
A. M+NM + N = √2 +√5 . . . . irrational
B. MNMN = (√2)(√5) = 10 . . . . irrational
C. S+TS + T = 2 + 5 = 7 . . . . rational
D. STST = 2·5 = 10 . . . . rational
E. N+TN + T = √5 + 5 . . . . irrational
F. N²N² = (√5)(√5) = 5 . . . . rational
__
Additional comment
When in doubt, you can use your calculator to evaluate these expressions. If the decimal fraction uses all available digits, the number is likely irrational.
If the number cannot be expressed exactly without using symbols (√, ∛, π, e), then it is irrational. The attached calculator display shows this nicely.
Jason and Sylvie worked together to write a system of equations that has no solution. Jason wrote the equation y 5 4x 1 2. Sylvie wrote the second equation. Write a possible equation that Sylvie might have written. Explain your reasoning.
We can confirm this by subtracting the equations, which results in 0 = 4x - 6, which has no solution.
Sylvie might have written the equation y = 4x + 1. This equation has the same slope (4) as Jason's equation, but has a different y-intercept (1, instead of 2). This means that the two equations will never intersect, as the lines will be parallel, so there will be no solution. To check this, we can subtract equations: y - (4x + 1) = 5 - 4x - 1. Simplifying, we get 0 = 4x - 6, which has no solution. This confirms that the two equations have no solution.
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Riley has 3 hours to play before dinner. She spends 3/5 of that time playing outside. How long does riley play outside
Answer:
1.8 hours
hope that helps<3
Answer:
1.8 hours is the answer
9x-1 If 3x = 7, what is the value of ? 10
Answer:
20
Step-by-step explanation:
Step 1:
3x = 7 Equation
Step 2:
x = 7 ÷ 3 Divide
Step 3:
x = 2 1/3
Step 4:
9 ( 2 1/3 ) - 1 Input x
Step 5:
( 9/1 × 7/3 ) - 1 Multiply
Step 6:
21 - 1 Multiply
Answer:
20
Hope This Helps :)
For the shown frame, if member fal has distribution factor of 0.25 and member CD had distribution factor of 0.21, what is the distribution factor for member CC1 and CC2. knowing they are equal? *
The distribution factor for members CC1 and CC2 in the given frame is 0.27.
To find the distribution factor for members CC1 and CC2 in the given frame, we need to use the principle of virtual work or the method of consistent deformations.
Since member CD has a distribution factor of 0.21, it means that when a unit load is applied at joint C, member CD carries 0.21 units of that load. Similarly, member CF carries 0.25 units of the load applied at joint C.
Since members CC1 and CC2 are equal, we can assume that they carry an equal proportion of the load applied at joint C. Let's denote the distribution factor for members CC1 and CC2 as x. Therefore, the load carried by member CC1 would be x units, and the load carried by member CC2 would also be x units.
According to the principle of equilibrium, the total load applied at joint C should be equal to the sum of the loads carried by each member connected to it. In this case, we have:
0.21 + 0.25 + x + x = 1
Simplifying the equation:
0.46+2x=1
Subtracting 0.46 from both sides:
2x=1−0.46
2x=0.54
Dividing both sides by 2:
x=0.27
Therefore, the distribution factor for members CC1 and CC2 in the given frame is 0.27.
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20 points. Please help?
Answer:
g° 37
Step by step
angle AB = 180°
angle AD = 90°
angle DE = 53°
angle g = 180 - (90 + 53)
angle g = 37°
an inequity that can be written in the form ax by < c (where a and b are not both zero) is called a ____?____ inequality in two variables.
An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.
An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.
In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.
The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.
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I need helped with my math word problem i'm stuck
In mathematics, an algebraic expression is one that was created using integer constants, variables, and algebraic operations
The amount spent on a new house exists $ 810,000.
What is meant by algebraic expressions?Using letters or alphabets to represent numbers without giving their exact quantities is the idea behind algebraic expressions. In mathematics, an algebraic expression is one that was created using integer constants, variables, and algebraic operations (addition, subtraction, multiplication, division, and exponentiation by an exponent that is a rational number).
If n 5, the roots of a degree n polynomial expression, or the solutions of a degree n polynomial equation, may always be expressed as algebraic expressions.
An algebraic solution is what we refer to as a solution to an equation. But if n is greater than five, the Abel-Ruffini theorem asserts that only certain of these equations have algebraic solutions.
Abby spent 1/6 of the lottery on a new car
and 3/4 of the lottery on a new house
Total expenditure = $990,000
a. Let w be the lottery winnings,
then, 1/6 x w + 3/4 x w = $990,000
b. ⇒ w/6 + 3w/4 = $990,000
simplifying the above equation, we get
⇒ (2w + 9w)/12 = $990,000
⇒ 11w = 12 x $990,000
⇒ w = 12 x $990,000/11
⇒ w = 12 x 90,000
⇒ w = $1,080,000
Therefore, the lottery winnings = $1,080,000
Amount spent on a new car = 1/6 x $1,080,000 = $ 180,000
Amount spent on a new house = 3/4 x $1,080,000 = $ 810,000
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find the taylor polynomial t1(x) for the function f(x)=cos(x) based at b= 6 . t1(x) =
The Taylor polynomial t1(x) for the function f(x) = cos(x) based at b = 6 is t1(x) = 1 - 2(x - 6).
The Taylor polynomial of degree 1, denoted as t1(x), is a polynomial approximation of a function based on its derivatives at a particular point. In this case, we are finding t1(x) for the function f(x) = cos(x) based at b = 6.
To find t1(x), we need to consider the first-degree terms of the Taylor series expansion. The first-degree term is given by f(b) + f'(b)(x - b), where f(b) represents the function value at b and f'(b) represents the derivative of the function evaluated at b.
For the function f(x) = cos(x), we have f(b) = cos(6) and f'(b) = -sin(6). Substituting these values into the first-degree term formula, we obtain t1(x) = cos(6) - sin(6)(x - 6). Simplifying further, we get t1(x) = 1 - 2(x - 6).
In summary, the Taylor polynomial t1(x) for the function f(x) = cos(x) based at b = 6 is given by t1(x) = 1 - 2(x - 6). This polynomial provides a linear approximation of the function f(x) near the point x = 6.
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How do you know if triangles are congruent in SAS?
With the help of the figure we can say that triangles are congruent by SAS Rule
What is Congruence of Triangle?
Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.
Solution:
By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.
In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.
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