The solution to the equation is (b) x = -18
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
X
= 6
-3
Represent the equation properly
So, we have the following representation
x/-3 = 6
Cross multiply the equation
This gives
x = -3 * 6
Evaluate the products
x = -18
Hence, the solution is (b) x = -18
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the area of a square is 64 square yards. find the length of 1 side of the square
Answer:
Step-by-step explanation:
The formula for the Area of a square is:
A=[tex]s^{2}[/tex] Where s is the length of the side of the square.
Substituting and solving for s gives:
64 units2 = [tex]s^{2}[/tex]
√64 units2 =√s2
8 units = s
The formula for the perimeter of a square is:
p=4s
Where s is the length of the side of the square.
a bag contains red and white balls. the ratio of red to white balls is 3:4. if the bad contains 36 white balls then find the number of red balls?
Answer:
P (of red ball) = 1 - ( 310 + 25 ) = 1 - (3 + 410 ) = 1 - 710 = 10 - 710 P (of red ball) = 310 No. of black balls = 20total no. of balls 25 = 20total balls
Step-by-step explanation:therya goo
Answer:
48
Step-by-step explanation:
If the ratio is 3:4, we can just divide 35 by 3.
Then we get 12, and to get the red balls we can multiply by 4 because that is the ratio
4*12= 48
there are 48 red balls
The following formula gives the volume V of a cone, where r is the radius of the base and his
the height:
= 1/3r²h
V =
Answer:
Step-by-step explanation: The answer is that because if you think about it and do the problem you would be able to get that answer.
4.if a man has six different sportshirts and four different pairs of slacks, how many different combinations can he wear?
The man can wear 15 different outfit combinations by mixing and matching his six different sport shirts and four different pairs of slacks.
Combination is a way of counting the number of different groups of items that can be selected from a larger set without regard to the order in which they are selected.
In this case, the man has six different sport shirts and four different pairs of slacks, and he wants to know how many different outfit combinations he can wear. We can use the formula for combinations to calculate the number of possibilities.
The formula for combinations is:
ⁿCₓ = n! / (x! * (n - x)!)
Where n is the total number of items, x is the number of items being selected, and the exclamation mark (!) represents the factorial of a number (i.e., the product of all positive integers up to that number).
Using this formula, we can calculate the number of different combinations the man can wear as follows:
Number of sport shirts (n) = 6
Number of slacks (x) = 4
Number of combinations = ⁶C₄ = 6! / (4! * (6 - 4)!)
= (6 * 5 * 4 * 3 * 2 * 1) / [(4 * 3 * 2 * 1) * (2 * 1)]
= 15
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The concession stand at a football game had 3,903 soft pretzels and 2,804 hard pretzels before the game began. When they count the food after the game, there is a total of 1,683 pretzels left. How many pretzels were sold?
Answer:
5024
Step-by-step explanation:
3903+2804= 6707
6707-1683=5024
What is the value of b?
Answer:
b-value is the middle number hope that helps
Step-by-step explanation:
The b-value is the middle number, the number next to the x. The other letters, a and c, are also numbers like b. Each of these can be any number. In combination, they tell you what the quadratic function will look like when graphed
HELP!!! DUE TONIGHT!
Answer:
33.912
Step-by-step explanation:
U have to multiply 10.8 x 3.14 to get the answer
Hopefully this helps and if it did pls mark me as the brainlest
Andrew ran 0.75 miles at basketball practice.
Write 0.75 miles as a fraction in simplest form.
of a mile
Write 0.75 miles as a percent.
% of a mile
Answer:
Fraction 3/4 percent 75%
Step-by-step explanation:
.75 in simplest form is 3/4
Melanie is raising money for a school trip by selling candy bars and bags of chips. The price of each candy bar is $1.50 and the price of each bag of chips is $1.25. Yesterday Melanie made $33.25 and sold 13 more candy bars than bags of chips. Determine the number of candy bars sold and the number of bags of chips sold.
Both the quantity of candy bars and bags of chips sold are Melanie sold five bags of chips and eighteen candy bars (5 + 13).
What does sold mean?A product that has been sold has been exchanged for cash. You'll notice a "Sold" sign appear in the front yard of the house across the street whenever new neighbours purchase it.
Is it sold or is it sold?In addition to being a noun, the verb sell has three different tenses: simple present, simple past, and past participle. I'll sell my current vehicle and purchase a new one. She is distributing water bottles at the football game. My old college textbooks were all sold on the internet yesterday.
Let x be the number of bags of chips sold, then the number of candy bars sold would be x + 13.
The total revenue from the sales of the bags of chips would be $1.25 * x and the total revenue from the sales of the candy bars would be $1.50 * (x + 13).
Since the total revenue was $33.25, we can set up an equation:
$1.25x + $1.50(x + 13) = $33.25
Expanding and simplifying the right side:
$1.25x + $1.50x + $19.50 = $33.25
Combining like terms:
$2.75x + $19.50 = $33.25
Subtracting $19.50 from both sides:
$2.75x = $33.25 - $19.50 = $13.75
Dividing both sides by $2.75:
x = $13.75 / $2.75 = 5
So Melanie sold 5 bags of chips and 5 + 13 = 18 candy bars.
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Use the figure to find the measures of the numbered angles.
4
The value of ∠4 in the given transversal line image is; 85°
How to find the corresponding angles?Corresponding angles are defined as the angles that are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line.
In this question, we see that ∠3 is a corresponding angle to 95°. Thus;
∠3 = 95°
Now, ∠4 forms a straight line with ∠3 and as such they will sum up to 180 degrees as sum if angles on a straight line sums up to 180 degrees. Thus;
∠4 = 180 - 95
∠4 = 85°
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How many digits do you need to number all 178 buildings on a street?
You need 4 digits to number all 178 buildings on a street.
Explain Digits.In the decimal number system, digits are the symbols used to represent numbers. The 10 digits of the decimal numeral system are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. By utilizing them in various combinations and places, these digits are used to represent all possible decimal integers. A digit's value is also affected by its position in a number according to the place value system. For instance, the digits 1 and 2 in the number 123 each stand for one hundred, twenty, and three respectively. Digits are the fundamental components of numbers and are frequently used in daily life for calculations, measurement, and counting.
To find the number of digits in a number, you can take the logarithm of the number with base 10 and add 1. So, using the logarithm function, you can calculate:
log10(178) + 1 = 2.25 + 1 = 3.25
Therefore, you need 4 digits to number all 178 buildings on a street.
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State if the lines are Parallel, Perpendicular, or Neither. 6x-12y=24 4x+2y=8
Answer:
Step-by-step explanation:
The lines are neither parallel nor perpendicular.
Two lines are parallel if and only if they have the same slope. Two lines are perpendicular if and only if the product of their slopes is -1.
To find the slope of a line given in the form of Ax + By = C, we can rearrange the equation into slope-intercept form (y = mx + b), where m is the slope.
The first line, 6x - 12y = 24, can be rearranged into slope-intercept form as follows:
12y = -6x + 24
y = -0.5x + 2
The slope of the first line is -0.5.
The second line, 4x + 2y = 8, can be rearranged into slope-intercept form as follows:
2y = -4x + 8
y = -2x + 4
The slope of the second line is -2.
Since the product of the slopes is not -1, the lines are not perpendicular. And since the slopes are not the same, the lines are not parallel. So, the lines are neither parallel nor perpendicular.
i need help with rhombi
The unknown sides of the figure are
< KNL = 89.85 degrees
< KJL = 50 degrees
< JKM = 40 degrees
< JML = 80 degrees
How to find the unknown sidesA rhombus has it's interior angles equal to 360 degrees and the opposites and angels are equal
hence angle MLK = MJK = 100 degrees
< JML = < JKL = say x
2x + 2(100) = 360
2x = 360 - 200
2x = 160
x = 80
< MJL + < KJL = MJK adjacent angles
50 + < KJL = 100
< KJL = 50 degrees
The sides of a rhombus are equal
JM = KL = 15.6
ML = JK = 15.6
Given that NK = 12 and NL = 10, using cosine rule we solve for < KNL
cos < KNL = (15.6² - 12² - 10²) / -2 * 12 * 10
cos < KNL = 1/375
< KNL = arc cos (1/375)
< KNL = 89.85
< JKM + < JKL + <JNK = 180 sum of angles on a triangle
<JNK = 180 - 89.85 = 90.15
< JKM + 50 + 90.15 = 180
< JKM = 180 - 50 - 90.15
< JKM = 39.85 approximately 40
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three coplanar circles intersect as shown. what is the maximum number of points on the circles that a line passing through all three circles can touch?
The maximum number of points on the circles that a line passing through all three circles can touch is 36.
Two circles may cross in two points, one point, or no points on a aeroplane, digression circles are coplanar circles that cross at a single point.Concentric circles are coplanar circles that share a common centre.
You can select any two circles in (₂³) ways and each pair will intersect at 2 points. Therefore total 3*2=6 points.
Similarly, 4 lines will intersect at (₂⁴)=6
points.
Now each line will intersect at 2 points with a circle. And since we can select a circle in (³₁) ways and a line in (₁⁴) ways, therefore total (₁³)∗(₁⁴)∗2=24 points they will intersect.
Therefore, total number of intersection points = 6 + 6 + 24 = 36 points.
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12, x, y, 324, 972, find the sum of x and y (a) 144 (b) 52 (c) 75 (d) 109
Answer: The value of the sum of x and y is (a) 144.
Step-by-step explanation:
Given, The sequence is a Geometric Sequence.
Initially,
=> 4x3 , x , y , 324, 324x3
=> 4x3, x, y, 4x3x3x3x3, 4x3x3x3x3x3
From above,
We can deduce that,
=> x = 4 x 3 x 3
=> x = 36
Also,
=> y = 4 x 3 x 3 x 3
=> y = 108
The values of x and y are 36 and 108
Now, We can evaluate the sum of x and y,
=> x + y = 36 + 108
=> x + y = 144
Therefore, The sum of x and y is 144. Hence, option (a) is correct.
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HELP FOR 15 Points I SUCK AT MATH
The sum Given it can seen that according to the closure property of Rational numbers the addition of two rational numbers will sum up to a rational number provided that the rational numbers ≠ 0 and a set of rational number is closed under the closures property rule i.e x + y = y + x.
What is Closure Property of Integers ?
Closure Property of Integers states the sum or subtraction of two integers always gives an integer.
Rational number is defined as a number that can be made by dividing two integers.
Using the definition of rational and expanding the property, we can conclude that the sum of two rational numbers will result in a rational number.
using the closure property and based on the sum given, the addition of two rational numbers will sum up to a rational number provided that the rational numbers ≠ 0 and a set of rational number is closed under the closures property rule i.e x + y = y + x
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Wendy is told ahead of time that she will need to purchase about 12 gallons of paint in order to cover the entire house. Write equivalent ratios to determine the amount of green and white paint she will need to purchase.
Based on the information, Wendy will need to purchase 48 quarts of paint
How to calculate the ratioRatio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
Wendy is told ahead of time that she will need to purchase about 12 gallons of paint in order to cover the entire house.
The amount of paint needed will be:
= 4/1 × 12
= 48 quarts
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Wendy is told ahead of time that she will need to purchase about 12 gallons of paint in order to cover the entire house. a. Write equivalent ratios to determine the amount of green and white paint she will need to purchase. b. If there are 4 quarts in 1 gallon, how many quarts of paint does she need to purchase
80% of a number is x. What is 100% of the number? Assume x>0
100% of the number is: the number x ÷ 0.8 × 1 = the number If 80% of a number is x, then the number can be found by dividing x by the percentage as a decimal.
To convert a percentage to a decimal, divide the percentage by 100.
So, if 80% of the number is x, then:
x ÷ 0.8 = the number
In other words, to find the whole number, we need to divide the part (x) by the percentage as a decimal (0.8).
Once we have the whole number, we can find 100% of it by simply multiplying the whole number by 1.
So, 100% of the number is:
the number x ÷ 0.8 × 1 = the number
In conclusion, if 80% of a number is known, the whole number can be found by dividing the part by the percentage as a decimal, and 100% of the number can be found by simply multiplying the whole number by 1. Understanding the concept of percentage and the ability to convert between percentages, decimals, and whole numbers is an important skill in various areas of life and work.
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If a = 6 and B = 40 degrees,
find c.
Answer: My guess is 90 degrees if we're looking at the uppercase C
Step-by-step explanation: Because of the square in the corner
What is the value of x?
What is the value of y?
What is the value of z?
Answer:
X=63
Y=63
Z=72
Step-by-step explanation:
The value for angle X
X + 85 + 32 = 180°
X + 117 = 180°
X = 180° - 117°
X = 63°
Since <x and <y are vertically opposite
<X and <Y = 63°
Remember vertically opposite are the same.
The value for angle z
Z + 45 + Y = 180°
Z + 45 + 63 = 180°
Z° + 108° = 180° - 108°
Z = 72°
Therefore
Value for X = 63°
Value for Y = 63°
Value for Z = 72°
b) A plank of wood 3.5 m long is cut into 5 pieces of equal length. How long, in m, is each piece?
70 cm or 0.7 m
Step-by-step explanation:3.5 x 100 = 350
350 / 5 = 70
Your Assignment
Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.
1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. (2 points)
2. Simplify both sides. Show your work.
3. Is x = 6 a solution to the equation? Why or why not? (3 points
4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution. (3 points)
please help me!
Answer:
5(x – 3) = x + 13 with x = 6 substituted: 5(6 – 3) = 6 + 13
Simplifying both sides: 5(3) = 6 + 13
15 = 19
x = 6 is not a solution to the equation because when you substitute it, the left side of the equation (15) does not equal the right side of the equation (19).
To find a value of x that is a solution to the equation, we can start by solving for x:
5(x – 3) = x + 13
5x – 15 = x + 13
4x = 28
x = 7
So, x = 7 is a solution to the equation 5(x – 3) = x + 13. To find this solution, we first substituted x = 7 into the equation and simplified both sides to see if they were equal.
Step-by-step explanation:
A cylinder has a radius of 2.5meters. Its volume is 37.5\pi cubic meters. What is the height of the cylinder?
Answer: height = 1.91 m
Step-by-step explanation: Using the formula
V=πr2h
Solving for h
h=V
πr2=37.5
π·2.52≈1.90986m
a car depreciated 1000 each year it was owed and driven. what type of depreciation is this?
Answer:
Straight line Depreciation
on the z table with a 90% confidence interval, what is 1.645 called? group of answer choices critical value confidence interval margin of error point estimate
On the z-table with a 90% confidence interval, the value 1.645 is called the critical value. The critical value is used to determine the boundary values for the confidence interval. Correct option is A.
In a confidence interval, we use sample data to estimate the true population parameter with a certain degree of certainty or confidence. The critical value is determined based on the desired confidence level and the degrees of freedom (sample size - 1) of the distribution.
For example, if we want a 90% confidence interval, we use the z-table to find the critical value that corresponds to a probability of 0.05 in the tail of the distribution. The critical value represents the number of standard errors that correspond to the probability in the tail of the distribution.
Once we have determined the critical value, we can use it to find the margin of error for the confidence interval, which represents the range of values within which the true population parameter is likely to lie. The margin of error is calculated by multiplying the critical value by the standard error of the sample statistic.
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Complete question is:
On the z table with a 90% confidence interval, what is 1.645 called? group of answer choices
a. critical value
b. confidence interval
c. margin of error point
d. estimate
Noelle collects autographs of famous mathematicians. Exactly one statement below is true: • Noelle owns at least 77 autographs. • Noelle owns at least 62 autographs. • Noelle owns at least 45 autographs. What is the greatest number of autographs Noelle can own?
The greatest number of autographs that Noelle can own is given as follows:
61 autographs.
How to obtain the greatest number of autographs that Noelle can own?The greatest number of of autographs that Noelle can own is 61 autographs, as we would have that:
Noelle owns at least 45 autographs would be a true statement.Noelle owns at least 62 autographs would be a false statement.Noelle owns at least 77 autographs would be a false statement.Owning 62 autographs, the first two statements would be true, which is not possible, as exactly one of the statements is true.
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if the test in problem 1 had been performed in a primary care setting (instead of a hospital) with a baseline cervical cancer prevalence of 15%, what would have been the test performance? for this, you need to use the same sensitivity and specificity values obtained in the study, but apply them to a different population with 15% prevalence of cervical cancer. use the blank tables given below. assume that the same number of patients is screened (3,300). round to the nearest whole number when making calculations.
In a primary care setting with a baseline cervical cancer prevalence of 15%, the screening test would have a sensitivity of 94.3% and a specificity of 85.7%. The PPV would be 53.1% and the NPV would be 98.8%.
To calculate the test performance of the screening test in a primary care setting with a 15% baseline cervical cancer prevalence,
we can use the same sensitivity and specificity values obtained in the study, but apply them to a different population.
Given that the prevalence of cervical cancer is 15%, the number of true positives (TP) and false negatives (FN) in the screened population would be:
TP = Prevalence x Sensitivity x Number screened
TP = 0.15 x 0.91 x 3300
TP = 449.19, rounded to 449.
FN = Number with disease - TP
FN = 0.15 x 3300 - 449
FN = 26.5, rounded to 27.
Similarly, the number of true negatives (TN) and false positives (FP) in the screened population would be:
TN = (1 - Prevalence) x Specificity x Number screened
TN = 0.85 x 0.85 x 3300
TN = 2382.75, rounded to 2383.
FP = Number without disease - TN
FP = 0.85 x 3300 - 2383
FP = 396.5, rounded to 397.
Using these values, we can construct the following 2x2 contingency table for the primary care setting:
Actual condition:-
Test outcome Positive (P) Negative (N)
Disease (D) True positive (TP = 449) False negative (FN = 27)
No disease (ND) False positive (FP = 397) True negative (TN = 2383)
Using this contingency table, we can calculate the following test performance measures:
Sensitivity = TP / (TP + FN) = 449 / (449 + 27) = 0.943, or 94.3%.
Specificity = TN / (FP + TN) = 2383 / (397 + 2383) = 0.857, or 85.7%.
Positive predictive value (PPV) = TP / (TP + FP) = 449 / (449 + 397) = 0.531, or 53.1%.
Negative predictive value (NPV) = TN / (FN + TN) = 2383 / (27 + 2383) = 0.988, or 98.8%.
Therefore, in a primary care setting with a baseline cervical cancer prevalence of 15%, the screening test would have a sensitivity of 94.3% and a specificity of 85.7%. The PPV would be 53.1% and the NPV would be 98.8%.
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Find the value of each trigonometric ratio. Express your answer as a fraction in lowest terms.
The value of the trigonometric ratios are
1. sin C = 21/29
2. sin C = 3/5
3. cos C = 12/13
4. cos C = 8/17
5. tan A = 12/35
6. tan X = 4/3
How to find the trigonometric ratiosThe trigonometry problem in a triangle is worked using an acronym SOH CAH TOA, this acronym means:
Sin = opposite / hypotenuse - SOH
Cos = adjacent / hypotenuse - CAH
Tan = opposite / adjacent - TOA
1. sin C
sin C = opposite / hypotenuse = 21/29
3. cos C = 12/13
cos C = adjacent / hypotenuse = 36/39 = 12/13 to the lowest term
6. tan X = 4/3
tan X = opposite / adjacent = 36/27 = 4/3 to the lowest term
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Blake purchased a new car in 1990 for \$15,200$15,200. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was \$10,000$10,000 in the year 1992, then what would be the predicted value of the car in the year 2001, to the nearest dollar?
Answer:
$3,000
Step-by-step explanation:
To find the predicted value of the car in 2001, we need to use the exponential decay formula:
V(t) = V0 * e^(-kt)
where V0 is the initial value of the car ($15,200), t is the time in years since 1990, and k is the exponential decay constant. We can find k using the value of the car in 1992:
V(2) = $10,000 = $15,200 * e^(-2k)
Solving for k, we get:
k = -ln(0.654) / 2
Now that we have k, we can find the value of the car in 2001:
V(11) = $15,200 * e^(-11k)
To the nearest dollar, the predicted value of the car in 2001 is $$3,000$.
Can someone help a stoned brotha out