The odds in favor of picking a white marble from a bag with 4 green and 5 white marbles are 5 to 4.
This is calculated by comparing the number of white marbles to the number of green marbles.
Explanation:To determine the odds in favor of picking a white marble from a bag containing 4 green marbles and 5 white marbles, we need to calculate the ratio of the number of successful outcomes (picking a white marble) to the number of unsuccessful outcomes (not picking a white marble).
In this case, the successful outcomes are the 5 white marbles, and the unsuccessful outcomes are the non-white marbles, i.e., the 4 green marbles.
The odds in favor are therefore 5 to 4, or simply, 5:4.
Here's how to calculate odds using a probability example:
The probability of drawing a white marble on the first try isSo, the odds in favor of picking a white marble are 5 to 4.
Will make brainliest!
Parallel lines r and s are cut by two transversals, parallel lines t and u.
Which angles are corresponding angles with angle 8?
4 and 12
2 and 10
6 and 14
3 and 9
Answer:
∠4 and ∠12
A is correct
Step-by-step explanation:
Parallel lines r and s are cut by two transversals, parallel lines t and u
r || s and t || u
We are four parallel line. Two parallel line cuts two another parallel line.
Angle 8 is form by intersection of s and t line.
Corresponding angle: When two parallel lines are crossed by transversal line, the angles at matching corners are called corresponding angles.
For angle 8, t || u with s is transveral line.
Thus, ∠8 = ∠12 (By definition of corresponding angle)
For angle 8, s || r with t is transveral line.
Thus, ∠8 = ∠4 (By definition of corresponding angle)
Hence, ∠4 and ∠12 are corresponding angle of ∠8
ain ABC, AB=x, because=y, and CA=2x. A similarity transformation with a scale factor of 0.5 Maps ABC to MNO, such that vertices M,N and O correspond to A,B,C respectively. If OM=5, what is AB?
We are given: Triangle ABC sides, AB = x, BC = y and CA = 2x.
Another triangle MNO whose vertices M,N and O correspond to A,B,C respectively.
Therefore, AB corresponding to sides MN , BC corresponding to sides NO and CA corresponding to sides OM.
Also, we are given " A similarity transformation with a scale factor of 0.5 Maps ABC to MNO".
That means triangle ABC is dilated by a factor of 0.5.
Each side of the triangle MNO is 0.5 times(half) of Triangle ABC.
We could also say that each side of Triangle ABC is two times of sides of triangle MNO.
We are given side OM = 5 units.
CA = Times of OM = 2 * 5 = 10 units.
CA = 2x = 10 units or 2x=10.
Dividing both sides by 2, we get
[tex]\frac{2x}{2}=\frac{10}{2}[/tex]
x=5.
AB = x.
Therefore, AB = 5 units.
Answer:
Step-by-step explanation:
Solve for x.
4 - 3x
---------- = 5
2
Answer:
x=-2
Step-by-step explanation:
We are given an equation as
[tex]\frac{4-3x}{2} =5[/tex]
and asked to solve for x
Simplify by multiplying both sides by 2. This will get rid of fraction on left side.
4-3x = 10
Grouping like terms by taking 4 to right side
we get right side 10-4 = 6
-3x = 6
To get exact value of x, we divide by -3 on both the sides
x = 6/-3 = -2
Since this is an equation, we get a single value for x
x=-2
and answer is -2
Given fractional expression:
{(4-3x)/2} = 5
→ 4-3x = (5)2
→ 4-3x = 10
→ -3x = 10-4
→ -3x = 6
Therefore, x = -(6/3) = -2
HOW DO I DOOO THISS IDEK!!!!! HELLLPPPPP
53% of what number is 384
Answer:
The answer is 384 is 53% of 724.53
Step-by-step explanation:
Calculation:
384/53% = 724.53
formula:
value1/% = value2
Hope this helps!
Answer:
The answer is 384 is 53% of 724.53
A company developed a student survey so that students could share their thoughts about school. In 2011, 78,234 students across the United States were administered the survey. In 2012, the company planned to administer the survey to 10 times as many students as we're surveyed in 2011. About how many surveys should the company have printed in 2012? Explain how you found your answer.
Answer:
Company needs to print [tex]782,340[/tex] surveys in 2012.
Step-by-step explanation:
In 2011, 78,234 students participated in the survey.
Now in 2012 it is to be increased by 10 times. So there will be 10 times more students participating in the survey. Therefore they will need as 10 times more surveys.
Number of surveys needed in 2012 = [tex]78,234*10[/tex]
=[tex]782,340[/tex]
Company needs to print [tex]782,340[/tex] surveys in 2012.
Rex galore is taking his written test to get his license. there is an 85% probability of passing the test.
a. what is the probability that he will pass on his first try?
85% is the answer, because it is an 85% chance of him passing, now the chance of him passing twice in a row would be 72.25% because you would multiply 0.85 and 0.85 together.
Use mathematical induction to prove the statement is true for all positive integers n. 8 + 16 + 24 + ... + 8n = 4n(n + 1)
8++16+...+8n = 4n(n+1)
and, using regular Algebra, you can change it into the formula for (n+1):
8++16+...+8n+8(n+1) = 4(n+1)((n+1)+1)
If you ever swam in a pool and your eyes began to sting and turn red, you felt the effects of an incorrect pH level. pH measures the concentration of hydronium ions and can be modeled by the function p(t) = −log10t. The variable t represents the amount of hydronium ions; p(t) gives the resulting pH level.
Water at 25 degrees Celsius has a pH of 7. Anything that has a pH less than 7 is called acidic, a pH above 7 is basic, or alkaline. Seawater has a pH just more than 8, whereas lemonade has a pH of approximately 3.
Create a graph of the pH function either by hand or using technology. Locate on your graph where the pH value is 0 and where it is 1. You may need to zoom in on your graph.
The pool maintenance man forgot to bring his logarithmic charts, and he needs to raise the amount of hydronium ions, t, in the pool to 0.50. To do this, he can use the graph you created. Use your graph to find the pH level if the amount of hydronium ions is raised to 0.50. Then, convert the logarithmic function into an exponential function using y for the pH.
Recall from 07.02 how to convert a log to an exponential function. The equation y equals b to the power of x is written on the left. The equation x equals log base b of y is written on the right. A double-ended arrow points to both equations. The word exponent is written above the equations with arrows pointing to the x on the left and the x on the right. The word base is written below the equations with arrows pointing to the b on the left and the b on the right.
The pool company developed new chemicals that transform the pH scale. Using the pH function p(t) = −log10t as the parent function, explain which transformation results in a y-intercept and why. You may graph by hand or using technology. Use complete sentences and show all translations on your graph.
p(t) + 1
p(t + 1)
−1 • p(t)
Hello,
Please, see the attached files.
Thanks.
Answer:
hey i think the answer is 7
Step-by-step explanation:
to get to a dog show, mr luna first drives 7 miles west from his home and then 3 miles north. next he turns east and drives 11 miles. finally he turns north and drives 4 miles to the dog show. how far north of mr. luna's home is the dog show?
Answer:
7 miles
Step-by-step explanation:
Mr. Luna's travels east and west are irrelevant to the question. He drives 3 miles north, then he drives 4 more miles north. 3 + 4 = 7, so Mr. Luna ends up 7 miles north of his home.
This is the variable, usually shown on the y-axis, that gets its value from the one on the x-axis.
The Hint say's it starts with (De)
Graph f(x)=−0.5x+3. Use the line tool and select two points to graph the line.
Answer: These are some points of the grahp:
(-2,4)
(0, 3)
(2, 2)
Explanation:
1) f(x) = -0.5x + 3, is the equation of the form y = mx + b
2) y = mx + b is slope-intercept equation of a line where the slope is m and the y-intercept is b, so, f(x) = - 0.5x + b has slope m = -0.5 and y-intercept b = 3.
3) To graph f(x) = -0.5x + 3, follow these steps:
draw two perpedicular axis: vertical axis, labeled y, and horizontal axis, labeled x.draw marks on each axis, each mark equivalent to one unit.the intersection point of the vertical and horizontal axis is the origin, i.e. point (0,0).you can make a table with two or more points:x f(x) = - 0.5x + 3
-2 4
0 3
2 2
4 1
6 0
4) You can see the graph in the figure attached, and select any of the points on the line either by using the table or by using the equation f(x) = -0.5x + 3.
Based on the above, by the use the line tool, the points of the graph will have the points of:
(-2,4)(0, 3)(2, 2)What is the graphTo graph the linear equation f(x) = -0.5x + 3, use the following steps:
Begin with a coordinate plane. Select two points that lie on the line. For example, you can choose x = 0 and x = 6. Plug these values into the equation to find their corresponding y-coordinates.
When x = 0, y = -0.5(0) + 3 = 3. So, one point is (0, 3).
When x = 6, y = -0.5(6) + 3 = 0. So, second point is (6, 0).
Plot these points on the coordinate plane and use a straight line tool to connect them. This line represents the graph of f(x) = -0.5x + 3.
Learn more about graph from
https://brainly.com/question/29538026
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What transformation takes the graph of f(x)=3x+8 to the graph of g(x)=3x+6 ? (A)translation 2 units left
(B)translation 2 units down
(C)translation 2 units up
(D)translation 2 units right
The answer is translation 2 units down(B)
Answer:
B)translation 2 units down
Step-by-step explanation:
There are several types of transformations
i) reflection ii) shifting horizontally iii) shifting vertically.
Here the graph y =f(x) = 3x+8 is transformed into Y =g(x) = 3x+6
Rewrite as y-8 = 3x and Y-6 =3x
We find comparing the two equations that there is no change in x. But y changed to Y
y-8=Y-6 or Y = y-2
Hence there is no horozontal transformation but vertically new Y = old y-2
i.e. the translation is 2 units vertically down.
Option B is right.
What is the product of -2x^3 + x - 5 and x^3 - 3x - 4? Are the products equal to those of x^3 - 3x - 4 and -2x^3 + x - 5? Explain
I am soooo lost on working this out.
Answer:
Step-by-step explanation:
( -2x³ + x - 5) × ( x3 - 3x - 4)
= ( -2x³)×( x3 - 3x - 4) +(x)×( x3 - 3x - 4) - (5)( x3 - 3x - 4)
= - 2x^6 +6x^4 +8x³ + x^4 - 3x² -4x - 5x³ +15x + 20
= - 2x^6 +7x^4 +3x³-3x²+11x +20
Every month, Ms. Thomas pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car loan each month. At the end of the year, her savings account balance changed by −$2,931 from payments made on her car loan. Describe the total change to Ms. Thomas’ savings account balance after making six monthly payments on her car loan. Model your answer using a number sentence.
Answer: -$1465.5
Ms. Thomas pays the 'same' amount as her car loan each month through car payments.
Total amount payed at the end of the year for car loan = -$2931
Change in Ms. Thomas' savings account each month (with respect to car loan) =
-2931/12 = -$244.25
So, to to calculate the total change to Ms. Thomas's savings account balance after paying for car loan for six months, we will simply multiply one month's amount with 6:
-$244.25 x 6 = -$1465.5
Answer:
Answer: -$1465.5
Ms. Thomas pays the 'same' amount as her car loan each month through car payments.
Total amount payed at the end of the year for car loan = -$2931
Change in Ms. Thomas' savings account each month (with respect to car loan) =
-2931/12 = -$244.25
So, to to calculate the total change to Ms. Thomas's savings account balance after paying for car loan for six months, we will simply multiply one month's amount with 6:
-$244.25 x 6 = -$1465.5
Step-by-step explanation:
why is it useful to write a ratio of fractions as a unit rate
A "unit rate" has a denominator of 1. That will often simplify any subsequent math operations.
_____
The choice of the form of a ratio should be made based on what you need to do with it. Sometimes, a denominator other than 1 is appropriate to follow-on operations you may need to perform.
Answer:
It is useful to write a ratio of fractions as a unit rate because it makes it easier to compare other unit rates to the corresponding unit rate.
The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate, approximately what will the town's population be in 4 years?
Answer:
[tex]P_4 = 7604.08[/tex]
Step-by-step explanation:
If the population increases at a rate of 4% per annum, then:
In year 1:
[tex]P_1 = P_0 + 0.04P_0[/tex]
Where [tex]P_0[/tex] is the initial population and [tex]P_n[/tex] is the population in year n
In year 2
[tex]P_2 = P_1 + 0.04P_1[/tex]
It can also be written as:
[tex]P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)[/tex]
Taking out common factor [tex]P_0[/tex]
[tex]P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)[/tex]
Taking out common factor (1 + 0.04)
[tex]P_2 = (1 + 0.04) (P_0 + 0.04P_0)[/tex]
Taking out again common factor [tex]P_0[/tex]
[tex]P_2 = (1 + 0.04) (1 + 0.04) P_0[/tex]
Simplifying
[tex]P_2 = P_0 (1 + 0.04) ^ 2[/tex]
So
[tex]P_n = P_0 (1 + 0.04) ^ n[/tex]
This is the equation that represents the population for year n
Then, in 4 years, the population will be:
[tex]P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08[/tex]
simplify (8c^4w^2)^2 show work
Exponents are not particularly mysterious. They show repeated multiplication. That is ...
... c⁴ = c·c·c·c
... w² = w·w
Then the factor inside parentheses is ...
... 8·c·c·c·c·w·w
The exponent outside parentheses tells you the number of times this is repeated as a factor:
... (8c⁴w²)² = (8·c·c·c·c·w·w)(8·c·c·c·c·w·w)
... = 8·8·c·c·c·c·c·c·c·c·w·w·w·w = 64c⁸w⁴
_____
You can take advantage of the fact that multiplication is repeated addition, so the exponents of the various factors can be found by multiplying the outside exponent by the inside exponents.
[tex]\displaystyle\left(8c^{4}w^{2}\right)^{2}=8^{2}\cdot c^{4\cdot 2}\cdot w^{2\cdot 2}\\\\=64c^{8}w^{4}[/tex]
-(1-5x)=8x+25 please help
Calculate the difference scores for the following data from a repeated measures study. Conduct a repeated measures t-test at aplha=.05 to find whether there was a change in scores. Subject A:Pre test score=34 post test score=39. Subject B:pre test score=41, post test score=48. Subject C:pre test score=38, post test score=35. Subject D: pre test score=29, post test score=36
Answer:
There is no difference as per statistical evidence.
Step-by-step explanation:
We calculate t statistic from the formula
t =difference in means/Std error of difference
Here n1 = n2
t = (x bar - y bar)/sq rt of s1^2+s2^2
Let treatment I =X = 34 41 38 29
Treatment II Y = 39 48 35 36
X Y
Mean 35.50 39.50
Variance 81.00 105.00
H0: x bar = y bar
Ha: x bar not equal to y bar
(Two tailed test at 0.05 significant level)
N1 = 4 and N2 = 4
df=N1+N2-2 = 6
s1^2 = 81/3 =27 and s2^2 = 105/3 = 35
Std error for difference =
t = -1.02
p =0.348834
p>0.05
Since p value >alpha we accept null hypothesis.
Hence there is statistical evidence to show that there is no difference in the mean level of scores.
The difference scores for each subject are as follows: Subject A: 5, Subject B: 7, Subject C: -3, Subject D: 7. The mean difference score is 6.25. The test statistic t is 4.762, with 3 degrees of freedom. The critical t-value for alpha = 0.05 is approximately 3.182. Since the calculated t-value exceeds the critical value, we reject the null hypothesis and conclude that there was a significant change in scores at the 0.05 level.
First, we calculate the difference scores for each subject by subtracting the pretest score from the posttest score:
- Subject A: [tex]\(39 - 34 = 5\)[/tex]
- Subject B:[tex]\(48 - 41 = 7\)[/tex]
- Subject C: [tex]\(35 - 38 = -3\)[/tex]
- Subject D: [tex]\(36 - 29 = 7\)[/tex]
Next, we calculate the mean of these difference scores:
Mean difference score [tex]\(= \frac{(5 + 7 - 3 + 7)}{4} = \frac{16}{4} = 4\)[/tex]
Then, we calculate the variance of the difference scores:
Variance[tex]\(= \frac{\sum{(x_i - \bar{x})^2}}{n-1}\)[/tex]
However, the correct formula for the t-test statistic in this context should include the correction for continuity, known as the paired sample t-test formula:
[tex]\(t = \frac{\bar{x}}{s/\sqrt{n}}\)[/tex]
Where [tex]\(\bar{x}\)[/tex] is the mean difference score, [tex]\(s\)[/tex] is the standard deviation of the differences, and[tex]\(n\)[/tex] is the number of pairs (subjects).
[tex]\(t = \frac{4}{4.761/\sqrt{4}} = \frac{4}{2.3805} \approx 1.679\)[/tex]
This is incorrect, as we have not applied the correction for continuity. The correct calculation for t is:
[tex]\(t = \frac{\bar{x}}{s/\sqrt{n}} = \frac{6.25}{4.761/\sqrt{4}} = \frac{6.25}{2.3805} \approx 2.625\)[/tex]
The degrees of freedom for this test are [tex]\(n - 1 = 4 - 1 = 3\)[/tex].
Using a t-distribution table or a statistical software, we find the critical t-value for a two-tailed test with 3 degrees of freedom at an alpha level of 0.05 is approximately 3.182.
Since our calculated t-value (2.625) does not exceed the critical value (3.182), we do not reject the null hypothesis. Therefore, there is not enough evidence to conclude that there was a significant change in scores at the 0.05 level.
However, the initial claim that the calculated t-value exceeds the critical value and that we should reject the null hypothesis is incorrect. The correct conclusion, based on the corrected calculations, is that we do not reject the null hypothesis. There is not enough evidence to conclude that there was a significant change in scores at the 0.05 level.
NEED HELP NOW 70 POINTS! Divide. 2/3 ÷ 4/5 A.2/8 B.8/15 C.56 D.8/8
Hi,
Solution:
Find Common Denominators,
2/3 = 10/15
4/5 = 12/15
Divide,
10/15 ÷ 12/15 = 0.8333...
Turn into fraction;
0.8333... = 5/6
Answer - C. 5/6
I need a little help with the second part of b and part c! + can y'all check my explanations please
a. (my answer for context) The system for this word problem is x+y=14; 11.99x+24.99y=245.86 (x is shirts and y is pants)
b. 1. Explain, without solving, which method is most efficient in solving this system: substitution, elimination, graphing, or making a table?
(my answer is substitution, because the solutions to x and y can easily be substituted into the first equation).
b. 2. Explain why the other methods are not as sufficient.
(I need a little help but I'm thinking it's because for this system solving method you basically only have to solve the second equation and then just substitute)
c. How could you simplify the numbers used in this system to simplify the system? Does this new system change your answer to part b? Explain. (What does this mean? How can I answer it?)
Answer:
b. Your answer is appropriate.
c. The decimals can be eliminated by multiplying by 100. (You can also add 0.14 to the problem, adding .01 to each individual price and 0.14 to the total. This will make the second equation be 12x +25y = 246, which makes the numbers slightly easier to work with.) Unfortunately, there don't seem to be any common factors that would reduce the size of the numbers.
Step-by-step explanation:
a. We assume you're finding quantities of shirts and pants for a purchase of 14 total items costing $245.86. If so, your equations are appropriate.
b. The solution for one variable or the other can be found in 6 arithmetic operations using your suggested method. Any other method takes as many or more. (Multiplying the first equation by -11.99 and adding to the second gets you the equivalent of substituting for x in as many operations.)
Graphing can be quick and easy with the right tool. Since you know the solutions are integers, just about any graphing tool will get you close enough.
Another method (using only 5 arithmetic operations) is to calculate the average price of an item as 245.86/14, then figuring the ratio of the difference from the lower price to the total difference in price. Multiplying this ratio by the number of items gives the number of the higher-priced item (pants). (245.86/14 -11.99)/(24.99 -11.99)·14 = 6 This method treats the problem as a "mixture" problem, finding the numbers of each consitutuent that make the average come out what it is.
c. See above for how to simplify the numbers. Done properly, the answer is not changed. (Some people don't work well with decimals or fractions, so like to see those eliminated from the problem. Some folks work better with small integers than with large ones, so like to see the numbers be made as small as possible.)
how to solve this m<3=(x+1)(x+4) and m<5= 16(x+3)-(x^2-2)
Answer:
x = 2.75+√30.5625
∠3 = ∠5 ≈ 113.923°
Step-by-step explanation:
We are given that ∠3 = (x+1)(x+4) and ∠5 = 16(x+3)-(x²-2) are corresponding angles, hence equal. We can equate the two angle expressions and solve the resulting quadratic for x.
... (x+1)(x+4) = 16(x+3)-(x²-2)
... x² +5x +4 -16x -48 +x² -2 = 0 . . . . . subtract the right side, eliminate parentheses
... 2x² -11x -46 = 0 . . . . . . . . . . . . . . . . . collect terms
Using the quadratic formula, we want to find
... x = (-b±√(b²-4ac))/(2a) . . . . for a=2, b=-11, c=-46
... x = (11 ±√((-11)² -4(2)(-46)))/(2(2)) = (11 ±√489)/4 = 2.75 ± √30.5625
The negative solution results in negative values for the angles, so only the positive solution is useful for this problem.
... x = 2.75+√30.5625 ≈ 8.27834
Using this value for x in either expression for the angle value, we get
... ∠3 = ∠5 = (8.27834+1)(8.27834+4) ≈ 113.923 . . . degrees
_____
It seems a little odd that this problem should result in irrational values for the variables. If we take ∠3 and ∠5 to be a linear pair, then the solution is x=6 and the angle measures are 70° and 110°. The solution is done basically the same way, except that you use the equation
... ∠3 + ∠5 = 180
and substitute the given expressions. The x² terms will cancel, leaving a linear equation easily solved.
(Since this is not the problem described here, the detailed working is left to the reader.)
If y = 2x^3 + 4x and dx/dt = 2, find dy/dt when x = 4.
dy/dx = 6x² +4 . . . . . using the power rule
dy/dt = (dy/dx)×(dx/dt) = (6(4²) +4)×2
dy/dt = 200 . . . at x=4
Work the following area application problem.
You own a swimming pool elliptical in shape. You wish to cover it at night to retain its warmth. If the pool measures 18 ft. across at its minor axis and 25 ft. across at its major axis, how much plastic material will you need to cover the pool, assuming you need a 1.5 ft. overhang all around the pool?
Area (to the nearest tenth) = ______ sq. ft.
SInce you need 1.5 feet of overhang, add 3 feet to each axis dimension 1.5 on each side):
Minor Axis = 18 + 3 = 21 feet
Major axis = 25 + 3 = 28 feet
The area of an ellipse is found by multiplying half the minor axis by half the major axis by PI.
1/2 minor axis = 21 / 2 = 10.5
1/2 major axis = 28 / 2 = 14
Using 3.14 for PI
Area = 10.5 x 14 x 3.14 = 147 x 3.14 = 461.6 sq ft
This problem is not as simple as it may appear at first. The area of an ellipse is ...
... A = πab
where a and b are the semi-axes.
Here, it looks like you're expected to choose these to be 1.5 ft longer than half the given axes, so the area of the pool cover is about ...
... A = π(9 ft + 1.5 ft)(12.5 ft +1.5 ft)
... A = 147π ft² ≈ 461.8 ft²
_____
However, adding 1.5 ft of material to an ellipse results in a shape that is not an ellipse, but is slightly larger than the ellipse with the dimensions used above. The area of that may be about 462.5 ft² (found numerically).
Jordan and Sharla are saving money to go on a study abroad trip. They must provide a down payment of $650 to sign up for the trip, and they can pay the remaining balance later. Jordan raises money by mowing lawns in his neighborhood and charges $25 per lawn. Sharla raises money by selling handmade necklaces for $15 each. Sharla raises less money than Jordan does because Sharla 3. only has enough materials to make 40 necklaces. (A) write two constraints to model the problem. Let x respresent the number of lawns Jordan mows and y represent the number of necklaces Sharla sells. (B) can sharla afford the down payment with the money she earns selling her necklaces? Explain your answer . PLEASE HELP its due NOW! I’ll make you brainliest
The perimeter of an isosceles triangle is 15.6 m. Find the lengths of its sides, if: The base is 3 m bigger than a leg.
So, an isosceles triangle has 2 equal sides, we will call them x.
The base can be modeled by 3+x
So, the perimeter is equal to x + 3+x + x
So
15.6 = 3x + 3
12.6 = 3x
4.2 = x
So, the lengths of the sides are 4.2, 4.2, 7.2
Answer:
6.2, 6.2, 3.2
Step-by-step explanation:
im himothy
Find the distance between 4 2/3 and −5 1/3
Answer:
The distance between these two is 10.
Step-by-step explanation:
In order to find this, we simply need to subtract the values from one another. If the value is then negative, we take the absolute value to find the distance.
4 2/3 - -5 1/3
4 2/3 + 5 1/3
10
I thought of a number, added 4 5/7 to it, and got the number equal to the original one times 12. What was the original number?
Answer:
x=3/7
Step-by-step explanation:
x+4 5/7 = 12x
4 5/7 = 11x
x = 3/7
Answer:
3/7
Step-by-step explanation:
Letter b on number 11 is all I need help with. Thank you
distance = 500 feet
Since Δ VWX and Δ YZX are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{VW}{YZ}[/tex] = [tex]\frac{VX}{YX}[/tex] = [tex]\frac{WX}{ZX}[/tex]
completing the required values gives
[tex]\frac{100}{l}[/tex] = [tex]\frac{60}{30}[/tex] ( cross- multiply )
60l = 30 × 100 = 3000 ( divide both sides by 60 )
l = 500
distance across the swamp is 500 feet