Answer:
[tex]\boxed{\frac{1}{8}}[/tex]
Step-by-step explanation:
You are starting with ½ pie. Then you cut it into four pieces.
You want to evaluate ½ ÷ 4
Step 1. Treat the integer as a fraction
[tex]\frac{1}{2}\div{\frac{4}{1}}[/tex]
Step 2. Invert the divisor and change divide to multiply
[tex]\frac{1}{2}\times{\frac{1}{4}}[/tex]
Step 3. Multiply numerators and denominators
[tex]\frac{1}{2}\times{\frac{1}{4}} = \mathbf{\frac{1}{8}}\\\\\text{Each piece is } \boxed{\mathbf{\frac{1}{8}}} \text{ of a whole pie.}[/tex]
Answer:
1/8
Step-by-step explanation:
which linear equation approximates the best fit to the data?
A) y=-2x+65
B)y=-5x+100
C)y=-x+68
D) y=-0.5x+55
Answer:
I believe A
Hope This Helps! Have A Nice Day!!
Answer:
A.
Step-by-step explanation:
In my opinion the best one is A cause it just fits the best if you draw the line.
hope this halps :D
In a group of students, 18 read marketing, 19 read economics, 16read finance, 6 read marketing only, 9 read economics only, 5 read marketing and economics only, and 2 read economic and finance only... find out
1) how many read all three subjects?
2) how many read finance only?
3) how many read marketing and finance only?
4) how many students are there altogether?
Answer:1)3
2)7
3)4
4)36
Final answer:
1. The number of students reading all three subjects is 3.
2. Those reading finance only is 7.
3. Those who read marketing and finance only is 4.
4. In total, there are 36 students.
Explanation:
To solve this Venn diagram problem involving students reading different subjects, let's take a methodical approach.
First, we know that 6 students read only marketing, and 9 read only economics.5 read both marketing and economics but not finance. This is found by subtracting those who read both from the total only marketing and economics readers.Next, 2 read economics and finance, but not marketing.The number of students that read all three subjects is found by taking the intersection of all three subjects and subtracting the sum of the intersections of two, which is given as 18 (for marketing) + 19 (for economics) + 16 (for finance) - 6 (marketing only) - 9 (economics only) - 2 (economics and finance only) - 5 (marketing and economics only), subtracting the students counted twice. The total number of students reading only one subject is 17 (6 marketing only + 9 economics only + 2 finance only).For the students reading all three, we have the total number of students minus the number of students reading only one or two subjects giving us 3 students reading all three.Those who read finance only can be calculated by taking the total number of finance readers (16) and subtracting those who read finance with other subjects (5 marketing and economics, 2 economics and finance, 3 all subjects), which gives us 16 - 3 - 2 - 5 = 7.The number of students who read marketing and finance only is found by subtracting those who read all three (3) from those who read both marketing and finance (8), this is, 8 (from finance total) - 3 (all subjects) - 1 (finance and economics only) = 4.To find out how many students there are altogether, we sum all the distinct category readers including those who read all three subjects once. This gives us 6 (marketing only) + 9 (economics only) + 2 (finance only) + 5 (marketing and economics) + 2 (economics and finance) + 4 (marketing and finance) + 3 (all three subjects) = 31. However, since there are 36 students, we conclude that there are 5 more students who do not fit into our calculated categories.What is the value of x?
A.34
B.56
C.68
D.79
Answer:
A complementary angle is two angles whose sum add up to 90°
Step-by-step explanation:
To find x you have to add both angles.
x + 22° + x° = 90°
(x + x) + 22 = 90
Combine like terms.
2x + 22 = 90
Subtract 22 from both sides
2x = 68
Divide both sides by 2
x = 34
The value of x is 34°
25 points
Select all that apply.
The bar graph below represents the following table, but the graph has at least one mistake. Choose the statements that describe what is wrong with the graph.
There is a missing label.
The labels are switched.
The "sunny" bar is the wrong length.
The "partly cloudy" bar is the wrong length.
The "cloudy" bar is the wrong length.
The key is missing.
Answer:
1.The labels are switched.
2.The "partly cloudy" bar is the wrong length.
3.The "cloudy" bar is the wrong length
Step-by-step explanation:
In the bar graph, the labels are switched.The lable for the horizontal axis should read -----number of days------ and the label for the vertaical axis should read----type of weather----
The scale of the bar graph is good, where a unit distance in the x-axis represent a single day.However, the length for party cloudy is indicated as 7 instead of 8. This is wrong length. Similar mistake is observed in the length for cloudy which is indicated as 6 in the graph instead of 5 as shown in the table.
Answer:
1.The labels are switched.
2.The "partly cloudy" bar is the wrong length.
3.The "cloudy" bar is the wrong length
Step-by-step explanation:
How much interest is earned on $2,700 in one year if it is invested at 3%?
$8.10
$81.00
$810.00
Answer:
The correct option is b $81.00
Step-by-step explanation:
Interest earned can be found simply by multiplying the interest rate into the principal amount.
Our Interest rate is = 3%
and principal amount = $2,700
Interest earned = $2700 * 3/100
Interest earned =$ 81
So, the correct option is b $81.00.
Answer:
$ 81.00.
Step-by-step explanation:
Reducing the fraction to the lowest terms
Which one? The fractions to the right?
The perimeter of a rectangular dining room is 28 meters. The dining room is 6 meters wide. How long is it?
Answer:
8 metres long
Step-by-step explanation:
28 = 2l + 12
2[6]
16 = 2l
8 = l
I am joyous to assist you anytime.
You put $600 in a savings account. The account earns 6% simple interest per year. a. What is the interest earned after 10 years? The interest earned is $ after 10 years. b. What is the balance after 10 years? The balance is $ after 10 years.
HELP PLZ I WILL MARK AS BRAINLIEST
Answer:
The answer is $960
Step-by-step explanation:
A = P(1 + rt)
[A] is Answer
[600] is P
[6%] is r
[10] is time
for the graphed exponential equation calculate the average rate of change from x=-4 to x=1
-1/3
-5/8
-4/5
-7/8
Answer:
- [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here [ a, b ] = [ - 4, 1 ]
f(b) = f(1) = - 4 ← value from graph
f(a) = f(- 4) = 0 ← value from graph
Hence
average rate of change = [tex]\frac{-4-0}{1-(-4)}[/tex] = - [tex]\frac{4}{5}[/tex]
The average rate of change of a function is -4/5 from x=-4 to x=1 function is decreasing.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of a function shown in the picture.
f(-4) = 0
f(1) = -4
Average rate of change of a function = (-4-0)/(1-(-4))
= -4/5
Thus, the average rate of change of a function is -4/5 from x=-4 to x=1 function is decreasing.
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200 cocoa beans make 1 lb. chocolate. How many cocoa beans are needs to make 3 pounds of chocolate
Answer:
600
Step-by-step explanation:
200*3=600
Answer:
600 cocoa beans
Step-by-step explanation:
1×3=3, 200×3= 600
what is the measure of angle c
Answer:
Angle C=35 degrees
Step-by-step explanation:
Angle C is an external angle. So, we can use the external angle theorem and get the equation
Angle C= 1/2(100-30)
Angle C=1/2(70)
Angle C=35 degrees
Answer:
35
Step-by-step explanation:
<C = 1/2 (large arc - small arc)
<C = 1/2 (100-30)
=1/2(70)
= 35
Tell whether the sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive
formula and an explicit formula to represent it.
3, 3.25, 3.5, 3.75,...
Answer:
The explicit formula
[tex]a_n = 3 +0.25 (n-1)[/tex]
The recursive formula
[tex]a_1 = 3[/tex] for [tex]n=1[/tex]
[tex]a_n = a_ {(n-1)} +0.25[/tex] if [tex]n>1[/tex]
Step-by-step explanation:
If a sequence is arithmetical then the difference between any of its consecutive terms will be constant
3, 3.25, 3.5, 3.75,
[tex]3.25-3 = 0.25\\\\3.5-3.25 = 0.25\\\\3.75 -3.5 = 0.25[/tex]
The difference between the consecutive terms remains constant so the sequence is arithmetic.
The explicit formula for an arithmetic sequence is:
[tex]a_n = a_1 + d (n-1)[/tex]
Where d is the constant difference between the terms.
[tex]d = 0.25[/tex]
[tex]a_1[/tex] is the first term of the sequence.
[tex]a_1 = 3[/tex]
So
[tex]a_n = 3 +0.25 (n-1)[/tex]
Finally, the recursive formula is:
[tex]a_1 = 3\\\\a_n = a_ {(n-1)} +0.25[/tex]
which are the solutions of the quadratic equation x2 =-5-3
Answer: x = 2 • ± √2 = ± 2.8284
Step-by-step explanation:
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 8 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares.
Equation at the end of step 1 :
x2 - 8 = 0
Step 2 :
Solving a Single Variable Equation :
2.1 Solve : x2-8 = 0
Add 8 to both sides of the equation :
x2 = 8
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ 8
Can √ 8 be simplified ?
Yes! The prime factorization of 8 is
2•2•2
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 8 = √ 2•2•2 =
± 2 • √ 2
The equation has two real solutions
These solutions are x = 2 • ± √2 = ± 2.8284
Two solutions were found :
x = 2 • ± √2 = ± 2.8284
Not sure what you need help with, but I hope I helped you somehow.
What is the area of parallelogram ABCD
Answer:
B
Step-by-step explanation:
The area (A) of a parallelogram is calculated using the formula
A = base × perpendicular height
base = DC = 4 and height = DB = 5, thus
A = 4 × 5 = 20 units² → B
The area of the parallelogram is 20 square units.
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram.
In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
The area of a parallelogram is base multiples by height as two triangles form a parallelogram.
We know, The area of a parallelogram is 2×(1/2)×base×height, As a parallelogram can be divided into two congruent triangles.
From the given information, If we draw an altitude to it will of 5 units and the base of the parallelogram is 4 units.
Therefore, The area of the parallelogram is, (5×4) = 20 square units.
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Please explain your answer as well. THX!!
Answer: Third option
[tex]P = 0.354[/tex]
Step-by-step explanation:
We have an elevator with 5 men and 7 women. We want to find the probability that 3 women and one man will come down from the elevator.
To calculate this probability we can use combinations.
The formula of combinations is:
[tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
Where you can choose between n people and choose r from them.
First we calculate all the possible results of the experiment.
That is, the amount of ways to select 4 people from a group of 12 people.
[tex]12C4 = \frac{12!}{4!(12-4)!} = 495[/tex]
There are 495 results.
Now we calculate the possible number of ways to obtain the desired result, that is 3 women and one man.
The possible combinations of selecting 3 women from a group of 7 is.
[tex]7C3 = \frac{7!}{3!(7-3)!} = 35[/tex].
The possible combinations of selecting 1 a man from a group of 5 is
[tex]5C1 = \frac{5!}{1!(5-1)!} = 5[/tex]
Then the number of ways in which 3 women and one man can be obtained is:
[tex]7C3 * 5C1 = 35 * 5 = 175[/tex]
Finally the probability is:
P = Number of ways to obtain the desired result ÷ possible number of results
[tex]P = \frac{7C3 * 5C1}{12C4}\\\\P = \frac{175}{495}[/tex]
[tex]P = 0.354[/tex]
Hannah rode her bike 1 hour and 15 minutes until she got a flat tire at 2:30 P.M.What time did hannah start riding her bike
Answer:1:15 P.M
Step-by-step explanation:just substract it 230-115 and you get your time
If she rode for 1.5 hours and caught a flat @ 2:30 pm she had to have started at 1:15
P(A1) = 0.60, P(A2) = 0.40, P(B | A1) = 0.05, and P(B | A2) = 0.10. Use Bayes’ theorem to determine P(A1 | B).
The result follows from manipulating the conditional probability. By definition,
[tex]P(A_1\mid B)=\dfrac{P(A_1\cap B)}{P(B)}=\dfrac{P(B\mid A_1)P(A_1)}{P(B)}[/tex]
[tex]P(A_1\mid B)=\dfrac{0.05\cdot0.60}{P(B)}[/tex]
By the law of total probability,
[tex]P(B)=P(B\cap A_1)+P(B\cap A_2)=P(B\mid A_1)P(A_1)+P(B\mid A_2)P(A_2)[/tex]
So we have
[tex]P(A_1\mid B)=\dfrac{0.05\cdot0.60}{0.05\cdot0.60+0.10\cdot0.40}\approx0.4286[/tex]
the probability P(A1 | B) is approximately 0.42857
Bayes’ theorem formula is:
[tex]P(A1 | B) = \frac{[P(B | A1) \times P(A1)]}{P(B)}[/tex]
We first need to calculate P(B):
[tex]P(B) = P(B | A1) \times P(A1) + P(B | A2) \times P(A2)[/tex]
Substitute the given values:
[tex]P(B) = 0.05 \times 0.60 + 0.10 \times 0.40\\\\P(B) = 0.03 + 0.04\\\\P(B) = 0.07[/tex]
Next we use Bayes' theorem to find P(A1 | B):
[tex]P(A1 | B) = \frac{[0.05 \times 0.60]}{0.07}\\\\P(A1 | B) = \frac{0.03}{0.07}\\\\P(A1 | B) \approx 0.42857[/tex]
Therefore, the probability P(A1 | B) is approximately 0.42857.
what is the mass in slugs of a body weighing 500 ib?
W=500lb
m=?
W=mg(m=W÷g)
500=m×10
500÷10=m
50=m
In the English Engineering system, the unit slug is used to measure mass. The mass of an object in slugs can be calculated by dividing its weight in pounds (lb) by the acceleration due to gravity (32.2 [tex]ft/s^2[/tex]). Therefore, a body weighing 500 lb would have a mass of about 15.53 slugs.
Explanation:In physics, the unit slug is used in the English Engineering system where force is expressed in pounds (lb). The relationship between slug and lb is tied to the acceleration due to gravity on Earth which is approximately 32.2 [tex]ft/s^2[/tex]. To convert the weight of an object in lb to its mass in slugs you divide the weight by the acceleration due to gravity.
Thus, if an object weighs 500 lb, its mass in slugs can be found by dividing 500 lb by 32.2 [tex]ft/s^2[/tex]. So, the equation is:
Mass = 500 lb / 32.2 [tex]ft/s^2[/tex] = 15.53 slugs
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consider the following graph a linear function. which equations have the same slope as the graph above? select all that apply. (sorry for bad camera quality)
Answer:
heres the graph
Step-by-step explanation:
The graph of the equation x – 2y = 5 has an x-intercept of 5 and a slope of1/2 . Which shows the graph of this equation?
This is the graph of x-2y=5 start by writing it into y=mx+b format then plug in numbers for x then graph!
plz help
Bernie's Bikes rents bicycles for $10 plus $4 per hour. You have $26 to spend. Write an equation that will give you eh number of hours that you could rent the bike and solve your equation algebraically.
Answer:
10+4x=26
Step-by-step explanation:
Answer:
Step-by-step explanation:
26-10 ÷ 4 = X
∨
16 ÷ 4 = X
x= 4
you can only rent the bike for 4 hours.
your down payment is $10 so you subtract it form the money you have now you are left with $16 dollars you divide it by four becuase 4 x 4 is 16 there for you know you can only go for 4 hours
The two lines graphed below are parallel. How many solutions are there to the system of equations?
Solutions just means the amount of times the lines intersect, so there are no solutions. Since the lines are parallel, they’re going the exact same direction forever and ever, never intersecting. Hope this helps!
Answer:
There is Zero solution to the system of equation.
Step-by-step explanation:
Consider the provided graph.
The solutions for the system of equations are the values of the variables that simultaneously make both equations true.
Parallel lines are the lines on a plane that never meet. They are always apart from the same distance.
Now consider the provided graph.
From the above definition, it is clear that the parallel lines never intersect. Also, the line has no solution or we can say Zero solution because there are no such variables that simultaneously make both equations true.
Also, the lines never intersect each other. Thus there is zero solution.
Hence, there is Zero solution to the system of equation.
Help plz
In △ABC m∠CAB = 40° and m∠ABC = 60°. Circle, going through points A and C, intersects sides AB and BC in points D and E respectively. Find all angles in quadrilateral ACED.
Answer:
m∠A=40°, m∠C=80°, m∠E=140°, m∠D=100°.
Step-by-step explanation:
Quadrilateral ACED is inscribed into the circle (see attached diagram).
Inscribed Quadrilateral Theorem: A quadrilateral can be inscribed in a circle if and only if the opposite angles are supplementary (add up to 180°).
Since angle CAB has the measure of 40°, then opposite quadrilateral's angle CED has the measure of
180°-40°=140°.
Since angle ABC has the measure of 60°, then the third triangle's angle BCA has the measure
180°-40°-60°=80°.
Since angle BCA has the measure of 80°, then opposite quadrilateral's angle ADE has the measure of
180°-80°=100°.
So, in quadrilateral ACED,
m∠A=40°, m∠C=80°, m∠E=140°, m∠D=100°.
The following equation is a proportion.10\18=25\45 = TrueFalse please help asap
Answer:
true
Step-by-step explanation:
X
What is the domain of the function graphed above?
OA. -2 5 ISO
B. -20 < x
D.
-10
Answer:
The domain is -∞ < x < ∞ ⇒ answer B
Step-by-step explanation:
* lets revise the meaning of the domain
- The domain is the values of x
- The domain is all the values of x which make the function is defined
- If there are some values of x make the function undefined, we
exclude these values from the domain
* Now lets look to the figure
- It is a straight line because its ends are arrow, that means the line
is a straight line no starting point or ending point
- That means x can be any real number
- There is no value of x make the function undefined
∴ The domain of this function is all real numbers
∴ The domain is (-∞ , ∞)
OR
∴ The domain is {x I x all real numbers}
OR
∴ The domain is -∞ < x < ∞
Answer:
it is b
Step-by-step explanation:
A can of tomatoes has a 4 in. diameter and is 4.5 in. high. What is the area of the paper label that goes around the can
A) 14.1 in2
B) 28.2 in2
C) 56.5 in2
D) 81.6 in2
Answer:
56.5
Step-by-step explanation:
The length of the paper around the can is equal the circumference of the base.
Circumference = πd
Circumference = 3.14 * 4
Circumference = 12.56
And since the height is 4.5 (which is also the width of the paper if you unwrap it), Multiply the circumference by 4.5.
12.56 * 4.5
= 56.52
5(2c - 3) = 3(3c - 5)
The answer to this equation would be:
C=0
Answer:c=0
Step-by-step explanation:
what’s the explicit formula for the sequence 27, 18, 12, 8
Answer:
a(n) = 27*(2/3)^(n - 1)
Step-by-step explanation:
The first four terms are 27, 18, 12, 8.
Find the common ratio:
To do this, let that ratio = r, and write and solve 27r = 18. Thus, r = 2/3.
The general explicit formula for this sequence is
a(n) = a(1)*(2/3)^(n - 1), or, since a(1) = 27, a(n) = 27*(2/3)^(n - 1)
Answer:
The sequence is A(n) = 27*(1.5)^(n-1)
Step-by-step explanation:
First, we need to see which type of sequence we have:
Differences:
27 - 18 = 9
18 - 12 = 6
the differences are different, let's try with the ratios.
27/18 = 1.5
18/12 = 1.5
12/8 = 1.5
So we have that this ratio is constant, then the sequence can be:
A(n) = 27*(1.5)^(n-1)
For n an integger number
where:
A(0) = 27*1.5^0 = 27
A(1) = 27*1.5^1 = 18
A(2) = 27*1.5^2 = 12
A(3) = 27*1.5^3 = 8
Jane needs $20 to buy her radio. She has saved $15. What percent of the cost of radio has she saved?
Answer:
75%
Step-by-step explanation:
Because if 10 is half and 5 is half of 10 its 75%
Jane has saved 75% of the radio cost
Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency.
The radio Jane wants to purchase costs $20 but she has saved only $15. The fraction of the amount Jane has saved to the total cost of the radio is [tex]\frac{15}{20}[/tex]. This fraction would have to multiplied by 100 to convert it to a percentage.
Percentage of the radio cost she has saved = (amount Jane has saved / cost of the radio) x 100
[tex]\frac{15}{20}[/tex] x 100 = 75%
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What type of angle is
Answer:
I'm really sorry I can't tell you the answer because you have to measure the angle by yourself using a protractor. But I gave you information about types of angles if you got the degree of angles ( e.g 90 degrees). Hope it helped.
Step-by-step explanation:
acute angle-an angle between 0 and 90 degrees
right angle-an 90 degree angle
obtuse angle-an angle between 90 and 180 degrees
straight angle-a 180 degree angle
For this case we have that by definition:
Sharp angle: It is less than 90 degrees.
Flat angle: Measures 180 degrees.
Obtuse angle: Measures more than 90 degrees
The figure shows a pair of angles, each measuring 77 degrees. Now they enter the definition of acute angles.
To find the angle CEB we subtract:
[tex]180-77 = 103[/tex] degrees
This is the same measure of angle AED.
These would be obtuse angles.
Answer:
Sharp angles (77 degrees)
Obtuse angles (103 degrees)