Answers
Answer:
a) 3/1 that is 3
b) 8/7
c) the mixed fraction is converted into simple fraction: 3*2+2/3 = 8/3
therefore the reciprocal is 3/8
d) 1/5
e) the mixed fraction is converted into simple fraction: 6*6+1/6 = 37/6
therefore the reciprocal is 6/37.
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Answer:
a. [tex]3[/tex]
b. [tex] \frac{8}{7} [/tex]
c. [tex] \frac{3}{8} [/tex]
d. [tex] \frac{1}{5} [/tex]
e. [tex] \frac{6}{37} [/tex]
Step-by-step explanation:
a. [tex] \frac{1}{3} [/tex]
Just flip the fraction , you will get:
[tex] = \frac{3}{1} [/tex]
[tex] = 3[/tex]
b. [tex] \frac{7}{8} [/tex]
flip the fraction
[tex] = \frac{8}{7} [/tex]
c. [tex]2 \frac{2}{3} [/tex]
The first thing you have to do is that convert mixed fraction into improper fraction
[tex] \frac{8}{3} [/tex]
Flip the fraction
[tex] = \frac{3}{8} [/tex]
d. [tex]5[/tex]
flip the fraction
[tex] = \frac{1}{5} [/tex]
e. [tex]6 \frac{1}{6} [/tex]
Convert mixed fraction into improper fraction
[tex] = \frac{37}{6} [/tex]
Flip the fraction in order to get reciprocal
[tex] = \frac{6}{37} [/tex]
Hope this helps...
Best regards!!
Related Questions
You have just timed a person doing a hair cut for the first time. It took 50 minutes. What unit improvement factor learning curve would you use if the person took 35 minutes on the second hair cut?
A. 35 percent
B. 50 percent
C. 70 percent
D. 75 percent
E. 80 percent
Answers
Answer: C. 70 percent
Step-by-step explanation:
Given, Time for the first unit = 50 minutes
Time for the second unit = 35 minutes
The unit improvement factor learning curve = (The time for the second unit) ÷ (time for the first unit) x 100.
So, The unit improvement factor learning curve = 35÷ 50 × 100 = 70 percent.
Hence, the correct option is "C. 70 percent".
Need Help ASAP!!!! thanks
Answers
Answer: 35 m3
Step-by-step explanation:
Hi, to answer this question, first we have to calculate the base of the pyramid:
Base area = 1/2x base length x height
Base area = 1/2 x 6 x 5 = 15 m2
Volume of a pyramid = 1/3 x base area x height
Replacing with the values given:
V = 1/3 x 15 x 7 = 35 m3
Feel free to ask for more if needed or if you did not understand something.
63 students choose to attend one of three after school activities: football, tennis or running. There are 38 boys. 20 students choose football, of which 19 are girls. 19 students choose tennis. 5 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.
Answers
Answer:8/21
Step-by-step explanation:
cba to write it down
The probability of a student choosing running is 4/63.
Given that,
Total number of students = 63
Number of boys = 38
Number of girls = 63 - 38 = 25
Number of students who chose football = 20
Number of girls who chose football = 19
Number of students who chose tennis = 19
Number of girls who chose running = 5
To find the probability of a student choosing running,
We need to know the total number of students who chose running.
From the given information,
We know that the number of students who did not choose running is:
Number of students who chose football = 20
Number of students who chose tennis = 19
Number of girls who did not choose running = 25 - 5 = 20
Therefore, the total number of students who chose running is:
Total number of students - Number of students who did not choose running
= 63 - (20 + 19 + 20) = 4
So, the probability of a student choosing running is:
Number of students who chose running / Total number of students
= 4 / 63
Therefore, the probability that a student selected at random chose running is 4/63
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Solve the system of equations algebraically. Verify your answer using the graph. y = 4x – 5 y = –3
Answers
Answer:
(1/2, -3)
Step-by-step explanation:
We have the following equations:
y = 4 * x - 5
y = –3
To solve algebraically, we must replace one equation in another, and we are left with:
-3 = 4 * x - 5
4 * x = 5 - 3
x = 2/4
x = 1/2
Therefore the solution is (1/2, -3)
Now, when we graph both equations, the solution would be the intercept between both graphs, attached corresponding image, the solution would be the same (1/2, -3)
Use Descartes' Rule of Signs to find the number of possible positive real roots and the number of possible negative real roots for the function f(x) = x^4+ 2x^3-3x^2- 8x - 4.
a positive 1; negative 3 or 1
b. positive 1; negative 3 or 5
C. positive 3; negative 3 or 1
d. positive 3; negative 3 or 5
Answers
Answer:
a positive 1; negative 3 or 1
Step-by-step explanation:
To determine the number of positive roots, we have to determine the number of sign changes for f(x) = x⁴ + 2x³ - 3x² - 8x - 4.
The coefficients in f(x) are +1, +2, -3, -8, -4.
Since there is only one sign change from +2 to -3, we have 1 positive root.
To determine the number of negative roots, we have to determine the number of sign changes for f(-x) = (-x)⁴ + 2(-x)³ - 3(-x)² - 8(-x) - 4 = x⁴ - 2x³ - 3x² + 8x - 4
The coefficients in f(-x) are +1, -2, -3, +8, -4.
Since there is three sign change from +1 to -2, from -3 to +8, and from +8 to -4. So,we have 3 or 1 negative root, since the number of negative roots is equal to the number of sign changes or an even number less than the number of sign changes. So, 3 -2 = 1
So, the number roots are of positive 1; negative 3 or 1
Answer:
a.positive 1; negative 3 or 1
Step-by-step explanation:
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The function f(x) = −x2 − 7x + 30 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent?
x = 10; the diver hits the water 10 feet away horizontally from the board.
x = 3; the diver hits the water 3 feet away horizontally from the board. x = 10; the diver jumps in the pool at 10 feet per second.
x = 3; the diver jumps in the pool at 3 feet per second.
Answers
this is your answer..................
Help ASAP !!!!! Which number line represents the solutions to \x + 4) = 2?
+
+
-7 -6 -5 -4 -3 -2 -1
0
1
2
3
+
+
0
1
2
3
-7 -6 -5 -4 -3 -2 -1
1
2
3
-7
-6 -5 -4 -3 -2 -1
+
1
2 3
О
-7 -6 -5 -4 -3 -2 -1 0
Answers
Answer:
first option
Step-by-step explanation:
Given
| x + 4 | = 2
The absolute value function always produces a positive value but the expression inside can be positive or negative, thus
x + 4 = 2 ( subtract 4 from both sides )
x = - 2
OR
- (x + 4) = 2, distribute left side
- x - 4 = 2 ( add 4 to both sides )
- x = 6 ( multiply both sides by - 1 )
x = - 6
Thus solutions are x = - 2, x = - 6
These are represented on the graph by solid blue circles at x = - 2, x = - 6
The first option represents the solution
3 connecting lines are shown. Line D F is horizontal. Line D E is about half the length of line D F. Line F E is about one-third of the length of line D F. Which inequality explains why these three segments cannot be used to construct a triangle? EF + FD > DE ED + EF DF EF + FD < DE
Answers
Answer:
The triangle inequality states that the sum of the two shortest side lengths must be greater than the largest side length of the triangle. Basically, we need to find if DE + FE > DF. We know that DE = 1/2 DF and FE = 1/3 DF so the inequality becomes 1/2 DF + 1/3 DF > DF which simplifies to 5/6 DF > DF. Since 5/6th of a number will never be greater than itself, the answer is ED + EF < DF.
Answer:
B. ED + EF < DF
Explanation:
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The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options. $8 $9 $11 $13 $14
Answers
Answer:
The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options.
$8 . YES
$9 . HELL NO
$11 . DEFINITLY NOT
$13 . GET OUTTA HERE
$14 . MMM YES
Step-by-step explanation:
Answer:
A and E or 8, 14
Step-by-step explanation:
PLS ANSWER ASAP Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
Answers
Explain
The triangle left side
Opposite side= hypotheses x sin 0
Plugin
Opposite side = 39 x sin 43
39 x 0.68
26.60
The right side
Opposite side = adjective side x tan0
Opposite side = 26.60 x tan 32
26.60 x 0.62
X= 16.6
Hope this help you :D
Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and surrounded by packaging material. The total weight of the refrigerator, box, and packaging material was 205 pounds. What is the weight of the box and packaging material?
Answers
Answer:
13 lbs
Step-by-step explanation:
what is the slope of the line that goes through the points (-1 4) and (14 -2)?
Answers
Answer:
Slope is -0.4 or 2/5
Step-by-step explanation:
x , y x^2,y^2
(-1,4) (14,-2)
y^2-y^1/x^2-x^1
-2-4/14-(-1)
-6/15
=-2/5 or -0.4.
Hope this helps. If right pls give me brainliest thank you.
Answer:
it is -2/5
Step-by-step explanation:
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > −4x − 1
y is less than 3 over 2 times x minus 1
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (−1, −1) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Answers
Answer:
Check below
Step-by-step explanation:
Hi there let's graph.
[tex]y>-4x-1\\ y<\frac{3}{2} x-1[/tex]
(Check below)
A) Looking at the pair of inequalities, the solutions is the interval that have the common points that satisfy both inequalities. Look at the graph for the point (6,4) this point satisfy both inequalities.
Plugging in those values (6,4)
[tex]4>-4(6)-1\\4>-25 \\\\[/tex]
Similarly for the second inequality
[tex]4 < 3/2(6)-1\\4<8[/tex]
Since the signal is lesser (<) and greater than (>) the lines are dashed.
B) No. (-1,-1) does not belong to any of those intervals. Check below. By the same procedure above. Check it out algebraically:
-1>4-1
-1>3 False!
And
-1<-3/2-1
-1<-1 False
Find the indicated area under the curve of the standard normalâ distribution; then convert it to a percentage and fill in the blank. Aboutâ ______% of the area is between zequals=minusâ1 and zequals=1 â(or within 1 standard deviation of theâ mean). About nothingâ% of the area is between zequals=minusâ1 and zequals=1 â(or within 1 standard deviation of theâ mean).
Answers
Answer:
68.26%
Step-by-step explanation:
The z score is a measure used in statistic to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then the raw score id below the mean. The z score is calculated using:
[tex]z=\frac{x-\mu}{\sigma}\\ where\ \mu \ is \ the\ mean, \sigma\ is\ the\ standard\ deviation\ and\ x \ is\ the\ raw\ score[/tex]
From the normal distribution table, Area between z equal -1 and z equal 1 = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826 = 68.26%
About 68.26% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).
The monthly membership fee for a social club is $10.00. A member is charged an additional fee whenever he or she participates in a social event organized by the club. The additional fee for participation is $35.00 per event. For one month, Amanda was charged $115.00. In how many social events did Amanda participate during the month?
Answers
The number of social events will be 3.
What is an expression?Numeral variables and operations marked by the signs for addition, subtraction, multiplication, and division are combined in the mathematical equation.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented using mathematical symbols. They can also signify other characteristics of logical grammar, such as the operation order.
Given that a social club's monthly membership cost is $10. Every time a member takes part in a social event that the club hosts, a separate cost is applied. A $35.00 participation fee is charged for each event. Amanda was charged $115.00 for a month.
The number of events will be calculated as follows:-
TC = 10 + 35N
115 = 10 + ( 35 x N)
N = ( 115 - 10 ) / 35
N = 105 / 35 = 3
Therefore, the number of social events will be 3.
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Which one of the following would most likely have a negative linear correlation coefficient? A. the value of a car compared to its age B. the points scored by a basketball player compared to his minutes played C. the height of a woman compared to her age D. the hours of daylight in a city throughout The year
Answers
Answer:
B. the points scored by a basketball player compared to his minutes played
Step-by-step explanation:
A rectangle has a width of x centimeters and a length 10 centimeters longer than the width. If the total perimeter is 220 centimeters, what is the measure of the length?
Answers
Answer:
60cmStep-by-step explanation:
Given the width of a rectangle W = x centimeters
If the length is 10 centimeters longer than the width, then L = (10 + x)cm
Perimeter of the rectangle = 220 cm
To calculate the length, we need to first calculate the value of x. Using he formula for calculating the perimeter of a rectangle to get x;
Perimeter P = 2(L+W)
Substituting the value of the length and the width, we will have;
P = 2(10+x+x)
220 = 2(10+2x)
Dividing both sides by 2;
220/2 = 2(10+2x)/2
110 = 10+2x
2x = 110-10
2x = 100
x = 100/2
x = 50cm
Since the length of the rectangle L = 10+x
The length of the rectangle = 10+50 = 60 cm
Hence, the measure of the length is 60 cm
Answer:
60cms
Step-by-step explanation:
Sally has 20 coins in her piggy bank, all dimes and quarters. The total amount of money is $3.05 If d = the number of dimes and q = the number of quarters Sally has, one of the linear equations that could be used to model this situations is
Answers
Answer:
[tex]d + q = 20[/tex]
[tex]0.25d + 0.10q = 3.05[/tex]
Step-by-step explanation:
Given
Coins = 20
Value = $3.05
Required
Determine the equation that represent this
From the question, we have that
d = the number of dimes
q = the number of quarters
This implies that;
[tex]d + q = 20[/tex]
Also;
[tex]1 d=\$0.25\ \ and\ \\1 q= \$0.10[/tex]---------- Standard unit of conversion;
This implies that
[tex]0.25d + 0.10q = 3.05[/tex]
Hence, the equations are:
[tex]d + q = 20[/tex]
[tex]0.25d + 0.10q = 3.05[/tex]
Which equation describes the line graphed above? A. -4x-5 B. -1/5x-4 C. -5x-4 C. -4x-1/5
Answers
Explanation:
The line go down one and turn right 5
So slope = -1/5x
And the y intercept is at -4
So B is the correct answer
The equation is -1/5x-4 represented by the graph. The correct option is B.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Let us check the equation -1/5x-4. The line goes down one and turns right 5. The Slope is -1/5x and the y-intercept is at -4. The graph of the equation is attached with the answer below.
Hence, option B is correct.
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Wesley makes spherical fish tanks with a diameter of 30. A customer requests a smaller tank with half the volume of the tank that Wesley usually makes.
What is the approximate diameter of the smaller tank?
Round to the nearest tenth.
Answers
Answer:
23.8
Step-by-step explanation:
V = 4/3 π r³
V = 4/3 π (15)³
V = 4500 π
V = 4/3 π r³
4500 π / 2 = 4/3 π r³
1687.5 = r³
r ≈ 11.9
d ≈ 23.8
Answer:
23.8 is the diameter.
Step-by-step explanation:
Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel. How old is Daniel now?
Answers
Answer:
Kevin is 6 years old and Daniel is 3 years old
Step-by-step explanation:
They are now 3 years apart but two years ago, they were 4 and 1 years old, so Kevin was 4 times older than.
Hope this helped :)
A company uses two vans to transport
workers from a free parking lot to the
workplace between 7:00 and 9:00 a.m.
One van has 9 more seats than the other.
The smaller van makes two trips every
morning while the larger one makes only
one trip. The two vans can transport 69
people, maximum. Let x be the seats in the small van and y the
seats in the large van. How many seats does the
larger van have?
Answers
Answer:
x=20 seats, y=29 seats
Step-by-step explanation:
y-x=9 y=9+x
2x+y=69 solve by substitution
2x+9+x=69
3x=69-9 3x=60
x=60/3=20 (small van)
y=9+x
y=29 (large van)
Answer : 20 in small , 29 in big as big van has 9 small van
Please answer this question now
Answers
Answer:
541.4 m²
Step-by-step Explanation:
Step 1: find m < V
V = 180 - (50+63) (sum of the angles in ∆)
V = 67
Step 2: find side length of XW using the law of sines
[tex] \frac{XW}{sin(V)} = \frac{XV}{sin(W)} [/tex]
Where,
V = 67°
W = 63°
XV = 37 m
XW
[tex] \frac{XW}{sin(67)} = \frac{37}{sin(63)} [/tex]
Multiply both sides by sin(67) to solve for XW
[tex] \frac{XW}{sin(67)}*sin(67) = \frac{37}{sin(63)}*sin(67) [/tex]
[tex] XW = \frac{37*sin(67)}{sin(63)} [/tex]
[tex] XW = 38.2 m [/tex] (to nearest tenth)
Step 3: find the area using the formula, ½*XW*XV*sin(X)
area = ½*38.2*37*sin(50)
Area = 541.4 m² (rounded to the nearest tenth.
TRUE OF FALSE : -4 <-2
Answers
Answer: false but not sure
Calculate the shaded region
Answers
Answer:
196 cm²-153.9375 cm² = 42.0625 cm ²
Step-by-step explanation:
First, solve for the whole 14^2 = 196 cm²
Now, we know it's lenths are the same so it's a square.
Lastly we need to deduct the quarter circle in the square. Use Formula A=πr² = A≈615.75 cm² /4 = 153.9375 cm²
What is the slope of the line in the graph? A.2 B.1/2 C.-2 D.-1/2
Answers
Step-by-step explanation:
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what are the x intercepts of the graph of the function below y=x^2-2x-15
Answers
Answer:
(5, 0) and (-3, 0)
Step-by-step explanation:
To find the x-intercepts, let's set y = 0.
0 = x² - 2x - 15
0 = (x - 5)(x + 3) -- To factor x² - 2x - 15, we need to find 2 numbers with a sum of -2 and product of -15; these numbers are -5 and 3.
x - 5 = 0 or x + 3 = 0 -- Use ZPP (Zero Product Property)
x = 5, x = -3
Answer:
x = -3 and x = 5.
Step-by-step explanation:
y = x^2 - 2x - 15
y = (x - 5)(x + 3)
The x-intercepts occur when y = 0. In this case, it's when either (x - 5) = 0, or (x + 3) = 0.
x - 5 = 0
x = 5
x + 3 = 0
x = -3
Hope this helps!
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A ( 2, -6) B ( 5, -6) C (5,-2) D (2.-2) What is the perimeter of rectangle ABCD? PLEASE ANSWER QUICK!!!
Answers
Answer:
The answer is 14
Step-by-step explanation:
Point A to Point B is 3
Point C to Point D is 3
Point B to Point c is 4
Point D to point A is 4.
Add all those together to get 14
Answer:
the answer is 14
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ASAP PLEASE IM BEHINF AND NEED TO SUMBIT ALL WORK BY 12!!!!!!!!!
Which number line shows the graph of x 11?
Answers
Answer:
see below
Step-by-step explanation:
x ≥11
Since there is an equals sign we have a closed circle at 11
X is greater so the line goes to the left
Answer: The second graph
Step-by-step explanation: X must be greater than 11 and the filled in circle means it could also be 11.
Nicole makes $9.50 per hour working at an electronics company. She plans to buy a hand-held computer, the least expensive of which costs $245.60 and the most expensive of which costs $368.40. Write and solve an inequality describing how long Nicole will have to work to be able to buy a hand-held computer.
Please give me steps on how to solve this problem. THANK YOU.
Answers
Answer:
26 ≤ x ≤ 39 where x is # of hours
Step-by-step explanation:
If we call the number of hours she works x, Nicole will have made 9.50x after x hours. Therefore, we can write the following compound inequality:
245.60 ≤ 9.50x ≤ 368.40 (Note that we use ≤ instead of <; "at least/most" is denoted by ≤ or ≥)
Dividing the entire inequality by 9.50 (to get rid of the coefficient on x, we get about 26 ≤ x ≤ 39. We round up to the nearest integer because you can't really have, say, 25.69 hours in this context, you would have 26.