Evaluate each expression if a =2, b = -3 and c = -1 and d =4 (2d-a)>fraction with a b at the bottom
Answer:
-2
Step-by-step explanation:
[tex] \dfrac{2d-a}{b} = \dfrac{2(4)-2}{-3} = \dfrac{8-2}{-3} = \dfrac{6}{-3} = -2 [/tex]
The table shows the solution to the equation |2x - 4| - 3 = 3:
Step 1|2x - 4 = -3 + 3
Step 2|2x - 4 = 0
Step 32x - 4 = 0
Step 4 2x = 4
Step 5x = 2
which is the first incorrect step? (1 point)
Step 1
Step 2
Step 3
Solution is correct
Answer:
Step 1
Step-by-step explanation:
Step one is incorrect because you need to add 3 but it subtracted.
This rectangle has side lengths or r and a for each expression say whether it gives the perimeter of the rectangle the area of the rectangle or neither
Answer:
to find the perimiter of a rectangle you use the formula which is P = 2 (L + W)
so it would be 2r + 2s
Step-by-step explanation:
Find mKNLˆ. A. 264 B. 196 C. 247 D. 184
Answer:
A. 264
Step-by-step explanation:
When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. Therefore,
60° = 1/2[(18x - 6)° - (5x +17)°]
60° * 2 = (18x - 6 - 5x - 17)°
120° = (13x - 23)°
120 = 13x - 23
120 + 23 = 13x
143 = 13x
143/13 = x
11 = x
x = 11
(18x - 6)° = (18*11-6)°= (198 - 6)° = 192°
(5x +17)° = (5*11 +17)° =(55+17)° = 72°
m (arc KNL) = (18x - 6)° + (5x +17)° = 192° + 72°
m (arc KNL) = 264°
Eight less than three times x in a expression
Answer:
3x - 8
Step-by-step explanation:
I'd have to see a photo of the question, but eight less than three times x can be translated to 3x - 8.
FOR BRAINLIEST!!! ASAP SUPER EASY!!
One coin is randomly selected from a jar containing 20 pennies, 15 nickles, 3
dimes, and 12 quarters. Find the odds of a value greater than $0.10. *
6:19
3:47
12:50
08:12
Step-by-step explanation:
Total coins in the jar = 50. Number of coins with a value less than $0.05 = 20 (the pennies). ... Probability of picking a penny = 20/50 = 40%. ... 'Odds' = 3 to 2 against it.
Karla is in Group A, where 56 orange slices are shared equally among 7 people.
Jade is in Group B, where 54 orange slices are shared equally among 6 people
.
Who had the greater share of orange slices, Karla or Jade?
Answer:
Jade
Step-by-step explanation:
-1 1/2+(-2 12/23)+5 7/46
Answer:
23/26 1 3/26
Step-by-step explanation:
you make to where all the denmanters are the same and add
The equation shows the relationship between the amount of money (y) remaining in Leigh's money box and the number of months (X)
Function 2
y = -9x + 60
Which statement explains which function shows a greater rate of change?
O Function 1 shows a greater rate of change, because Morgan spends $10 each month and Leigh spends $9 each month.
O Function 1 shows a greater rate of change, because Morgan spends $10 each month and Leigh spends $60 each month.
O Function 2 shows a greater rate of change, because Morgan spends $10 each month and Leigh spends $60 each month.
O Function 2 shows a greater rate of change, because Morgan spends $50 each month and Leigh spends -$9 each month.
Answer:
A. The first choice.
Step-by-step explanation:
Look at function 1.
Month 1 -----> $50
Month 2 ----> $40
The difference between month 2 and moin th 1 is 1 month.
The difference between $40 and $50 is -$10. In other words, in function 1, the amount, y, went down $10 in a month. The rate of change of function 1 is -$10/month.
Function 2
y = -9x + 60
The rate of change is the slope. The slope of function 2 is -9. In function 2, the amount of money changes -$9/per month.
Answer: A. The first choice.
Mean of 11,10,12,12,9,10,14,12,9 is
Answer: Hi!
To find the mean of a data set, you have to add the numbers in the set and then divide the sum by the number of values that are in the set.
11 + 10 + 12 + 12 + 9 + 10 + 14 + 12 + 9 = 99
There are 9 values in the data set, so we divide 99 by 9:
99 ÷ 9 = 11
The mean of this data set is 11.
Hope this helps!
Answer: 11
Order the Numbers
Before: 11,10,12,12,9,10,14,12,9
After: 9,9,10,10,11,12,12,12,14
Add
9+9+10+10+11+12+12+12+14=99
Divide
99÷9=11
At a benefit concert, 13 bands have volunteered to perform but there is only enough time for eight of the bands to play. How many lineups are possible?
Answer: 51891840
Step-by-step explanation:
Given : Total bands = 13
Possible number of bands can perform= 8
For arranging in order we use permutations.
By using permutations, the number of lineups are possible = [tex]^{13}P_8=\dfrac{13!}{(13-8)!}[/tex]
[tex]=\dfrac{13!}{5!}\\\\=\dfrac{13\times12\times11\times10\times9\times8\times7\times6\times5!}{5!}\\\\=51891840[/tex]
Hence, there are total 51891840 line ups are possible.
solve for x -12 ≤ 44+ x
Answer:
x can be all real numbers
Step-by-step explanation:
x - 12 ≤ 44 + x
Subtract x from both sides.
-12 ≤ 44
This statement is true, so the inequality is true for all values of x.
Now let's see how this makes sense. Look at the original inequality.
x - 12 ≤ 44 + x
Rewrite as:
x - 12 ≤ x + 44
What does there inequality mean? Subtract 12 from a number, and compare that with adding 44 to the same number. Of course, a number minus 12 is always less than the same number plus 44. It makes sense that this inequality is true for all values of x.
Answer:
[tex]\large \boxed{\mathrm{All \ real \ numbers}}[/tex]
Step-by-step explanation:
[tex]x -12 \leq 44+ x[/tex]
Subtract x from both parts.
[tex]x -12 -x\leq 44+ x-x[/tex]
[tex]-12\leq 44[/tex]
This is true.
The value of [tex]x[/tex] is all real numbers.
A bean stalk doubled its height every day. This was a magical bean stalk that grew from
the magical beans that Jack planted, which he got from selling his mother's cow. The bean
stalk reached its full height in 100 days. How many days did it take to reach half its height?
Answer:
The number of days it take to reach half its height is 99 days
Step-by-step explanation:
The given parameters are;
The height to which the beans stalk grew daily = Twice the initial height
The time duration for the bean stalk to reach maximum height = 100 days
Therefore, the growth of the bean stock is in the form of a geometric progression with a common ratio, r = 2
The formula for a geometric progression = a×r⁽ⁿ⁻¹⁾
Therefore, the height of the bean is given by the formula a×r⁽ⁿ⁻¹⁾
Where;
The first term = a = 1 (for analysis)
The number of terms (days) = n = 100 for 100 days
Therefore, we have;
After 100 days, the height of the bean = 1×2⁽¹⁰⁰⁻¹⁾ = 2⁹⁹ = 6.34 × 10²⁹
Half the height = 6.34 × 10²⁹/2 = 3.1291265 × 10²⁹
Which gives;
1×2⁽ⁿ⁻¹⁾ = 3.1291265 × 10²⁹
n - 1 = ㏒(3.1291265 × 10²⁹)/㏒(2) = 98
Which gives;
n - 1 = 98
n = 98 + 1 = 99 days.
can anyone plz find the area
Answer:
A = 18 km ^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
A = 1/2 ( 10 ) * 3.6
A = 18 km ^2
I NEED HELP PLEASE !!!!
Answer:
See below
Step-by-step explanation:
So we have the following six values:
[tex]77.65488139\\\sqrt{0.156}\\368. 5468432...\\253,897,615.\bar3\\14.19274128...\\\\\sqrt{\frac{4}{9} }[/tex]
And we want to determine which are irrational.
Recall what irrational numbers, are they are numbers that do not repeat nor terminate. In other words, they never end, and their digits never repeat.
So, let's go through each one.
77.65488139 is rational. Yes, it has a lot of decimal places but notice there are no ellipses after it. Thus, it terminates and is rational.
√(0.156) is about (use a calculator) 0.39496835... It is not repeating nor does it end. Thus, √(0.156) is irrational.
368.5468432... has the ellipses. Thus, it doesn't repeat and doesn't terminate. It's irrational.
253,897,615.3 has a bar over the 3 at the end. This means that this repeats. Therefore, while it doesn't terminate, it is rational.
14.19274128... has an ellipses. It doesn't repeat nor terminate. It's irrational.
Lastly, the square root can be simplified to 2/3. This is approximately .6666... While this doesn't terminate, it repeats, so it's rational.
Edit: Grammar
Which term does not belong with the other three? AB plane CDE FG HI
Answer: your answer should be HI i hope it helps
How many pennies could you have if:
When you break the pennies into groups of 2, you have 1 penny left over AND when you break the pennies into groups of 3, you have 1 penny left over?
Answer:
The number of pennies owned is 7 pennies
Step-by-step explanation:
The given parameters are;
The number of pennies left over when we break the pennies into groups of 2s = 1 penny
The number of pennies left over when we break the pennies into groups of 3s = 1 penny
Let the number of pennies owned = c
What we are given are as follows;
2 × a = c - 1
3 × b = c - 1
2 × a = 3 × b
a/b = 3/2
Therefore, if we multiply 2 by 3, and 3 by 2 we get 6
2 × 3 = 6, similarly 3 × 2 = 6
If we put 6 = c - 1, we get;
c = 6 + 1 = 7
c = 7
The number of pennies owned = 7 pennies.
Help please I need a little help I kinda don’t get it.
Answer:
12 eggs / 2 TBSP
24 eggs / 4 TBSP
Step-by-step explanation
depending on how much quiche you want, you can alter the recipe by doubling, tripling or even quadrupling the batch. For this example, every time 6 eggs were added, 1 tbsp of butter was added, so if we double that, 12 eggs were added and 2 tbsp of butter was added.
A suitcase has a lock on it consisting of four numbers. Each number could be any number 0-9. The only restriction is that the last slot has to be an even number.
Answer: We have 5000 possible combinations.
Step-by-step explanation:
I guess that we want to find the possible combinations for this lock.
We have 4 numbers, so we have 4 selections.
Now, let's count the number of options in each selection.
in the first selection, we have 10 options (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9)
in the second selection, we have 10 options (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9)
in the third selection, we have 10 options (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9)
in the last selection, we have 5 options (0, 2, 4, 6 and 8)
The total number of combinations is equal to the product of the number of options in each selection:
C = 10*10*10*5 = 5000 combinations.
Why do you only need a single counterexample to show that a conditional statement is false?
Answer:
A conditional statement is something like:
If (a condition is true) Then (something is also true.).
What this says is that ALWAYS that the condition is met, then "something" is also true.
For example:
If A > 3, then A > 2.
This is always true, because if A is larger than 3, then A is always also larger than 2.
Now, if we find a single counter-example, then the "always" is false.
This would mean that the condition is not enough, as we found a case that meets the condition, but the second part of the conditional statement is not true.
For example, if i told you that:
If a number is greater than 234, then the number is also greater than 235.
Now, there are a lot of numbers that are larger than 234 and also are larger than 235.
But here we have a counter-example.
235 is larger than 234, so the initial condition is true, but 235 is not larger than 235.
Then we find a number that makes the statement:
"If a number is greater than 234, then the number is also greater than 235."
false.
Which state comparing the function is true
Answer:
the slope of W is less than the slope of Z
Step-by-step explanation:
Function Z
find slope take two points (0,15.8) (1,15.76)
m=y2-y1/x2-x1
m=(15.76-15.8)/1-0
m=-0.04
the equation for function z : y=-0.04x+15.8
slope of W=-0.0625 which is less than -0.04
y intercept pf W=30, is greater than the y intercept of Z=15.8
Answer: The first statement is true.
Step-by-step explanation: The slope of function Z is -0.04 or - 1/25 The slope of function W is -0.0625 or -1/16.
Tricky! The absolute values of W are larger, but that makes the slope more negative.
Plane H is shown. Plane H contains four points. Points A, C, and D form a diagonal line on the left. Point B is to the right of point C. Which points are coplanar and noncollinear? points A and D points C and D points A, C, and D points A, B, and D
Answer:
d
Step-by-step explanation:
edg 2021
Answer:
d
Step-by-step explanation:
Using the image as a reference, what is the csc of angle 90 - x?
Answer:
Option (F)
Step-by-step explanation:
Cosec of an angle is the ratio of Hypotenuse and Opposite side.
From the figure attached,
ΔABC is a right triangle.
m∠A + m∠B + m∠C = 180°
m∠A + 90 + x = 180
m∠A = 180° - (90 + x)°
= (90 - x)°
Now csc (90 - x)° = [tex]\frac{\text{Hypotenuse}}{\text{Opposite side}}[/tex]
= [tex]\frac{\text{AC}}{\text{BC}}[/tex]
= [tex]\frac{5}{3}[/tex]
= 1.67
Therefore, Option (F) will be the answer.
Type the correct answer in each box. If necessary, use / for the fraction bar(s). John recorded the number of cars passing a traffic signal at intervals of 2 minutes. He plotted his data on this graph.
Answer:
Slope of the line is = [tex] \frac{5}{2} [/tex]
y-intercept = 5
Step-by-step explanation:
Slope (m) is can be calculated using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use the coordinates of any two points located on the line. Let's use, (14, 40) and (10, 30).
Let,
[tex] (14, 40) = (x_1, y_1) [/tex]
[tex] (10, 30) = (x_2, y_2) [/tex]
Plug the above values into the formula to find the slope (m).
[tex] m = \frac{30 - 40}{10 - 14} [/tex]
[tex] m = \frac{-10}{-4} = \frac{5}{2} [/tex]
Slope of the line is = [tex] \frac{5}{2} [/tex]
Find y-intercept using y = mx + b
Where m = slope, and b = y-intercept
Use (10, 30) as (x, y).
30 = 5/2*10 + b
30 = 25 + b
30 - 25 = b
5 = b
b = 5
Find an equation of the line that passes through the given point and has the indicated slope m. Point Slope (−9, 6) m is undefined
Answer:
x = -9
Step-by-step explanation:
A line with "undefined" slope is a vertical line. Its equation is of the form ...
x = constant
If the line is to go through a point with an x-coordinate of -9, then that must be the value of the constant.
x = -9
How many real solutions exist for this system of equations?
A. Zero
B. One
C. Two
D. Infinite
A) zero as the value of determinant is imaginary
The number of real solutions of the equations y = x - 3 and y = x² - 6x + 10 will be zero. Then the correct option is A.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equations are given below.
y = x - 3
y = x² - 6x + 10
Compare both equations, then we have
x² - 6x + 10 = x - 3
Simplify the equation, then we have
x² - 7x + 13 = 0
The solution to the equation, then we have
x = [7 ± √(49 - 52)] / 2
x = 7/2 ± (√3/2)i
The number of real solutions of the equations y = x - 3 and y = x² - 6x + 10 will be zero. Then the correct option is A.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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The accepted value of the average distance between Earth and the moon is 384, 467 km. If a scientist measures that the moon is 384,476 km form the Earth, what is the measurement's percentage error?
Answer:
Percentage error is 0.0024 %
Step-by-step explanation:
Initial average distance between Earth and moon = 384467 km
Distance measure by the scientist = 384476 km
Total variation in the distance calculation = 384476 – 384467 = 9 km.
Now we can find the percentage by dividing the variation in distance from the initial measurement and then multiply with hundred.
Percentage error = ( 9 / 384467 ) × 100 = 0.0024 %
52 times a number
Mathematics
Answer:
52x
Step-by-step explanation:
If we replace x with "a number", then the expression would be 52x.
Which of the following statements is true for 6.? Question 16 options: A) It's rational because 6. = 68∕33. B) It's irrational because 6. = 66∕25. C) It's rational because 6. = 66∕25. D) It's irrational because 6. = 68∕33.
Answer:
rational. I can't read the answer choices well.
The correct statement is: "It's rational because 6.24 repeated can be expressed as a fraction." Option A is true.
Here, we have,
To determine if 6.24 repeated is rational or irrational, we need to evaluate the options provided:
A) It's rational because 6.24 repeated = 68∕33.
To evaluate this option, we can convert 6.24 repeated into a fraction form.
Let x = 6.24 repeated.
We can multiply x by 100 to eliminate the repeating decimal:
100x = 624.24 repeated
Subtracting the original equation (x = 6.24 repeated) from the new equation (100x = 624.24 repeated), we can eliminate the repeating decimal:
100x - x = 624.24 repeated - 6.24 repeated
99x = 618
Simplifying:
x = 618/99
Now, let's check if 618/99 equals 6.24 repeated by calculating its decimal value.
Using a calculator, we find that 618/99 is approximately 6.242424..., which matches the repeating pattern.
Therefore, option A is true.
B) It's irrational because 6.24 repeated = 66∕25.
To evaluate this option, we can calculate the decimal value of 66/25 using a calculator. It turns out that 66/25 is approximately 2.64, which is not equal to 6.24 repeated. Therefore, option B is false.
C) It's rational because 6.24 repeated = 66∕25.
To evaluate this option, we can calculate the decimal value of 66/25 using a calculator. It turns out that 66/25 is approximately 2.64, which is not equal to 6.24 repeated. Therefore, option C is false.
D) It's irrational because 6.24 repeated = 68∕33.
To evaluate this option, we can convert 6.24 repeated into a fraction form. As we determined earlier, 6.24 repeated is rational. Therefore, option D is false.
The correct statement is: "It's rational because 6.24 repeated can be expressed as a fraction." Option A is true.
To learn more on multiplication click:
brainly.com/question/5992872
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complete question:
Which of the following statements is true for 6.24 repeated? Question 16 options: A) It's rational because 6. = 68∕33. B) It's irrational because 6. = 66∕25. C) It's rational because 6. = 66∕25. D) It's irrational because 6. = 68∕33.
The ratio of the profit, material cost and production labour of an article is 5:7:13.
If the material cost is 840 more than that of labour , find the total cost of producing the article. Plsss help me.
Answer:
The cost of producing the article is -3500 (Negative cost)
Step-by-step explanation:
The given parameters are
The ratio of the profit to material cost to production labor = 5:7:13
The amount of the material cost = 840 + Labor cost
Let the total cost = X
Therefore, we have;
The fraction of the total cost that is material cost = 7/(5 + 7 + 13) = 7/25
Therefore, the material cost = 7/25 × X
The fraction of the total cost that is labor cost = 13/(5 + 7 + 13) = 13/25
Therefore, the labor cost = 13/25 × X
However, the amount of the material cost = 840 + Labor cost, which gives;
7/25 × X = 13/25 × X + 840
7/25 × X - 13/25 × X = 840
-6/25 × X= 840
X = 840/(-6/25) = 840×(-25/6) = -3500
The cost of producing the article = -3500.