You can make 20 quarter pounders based on the information provided. You can show your work by dividing 5 by .25. You need to make both of these a fraction by doing 5/1 x 1/4. This leading you to get 20 making this your answer.
Find the Area and Perimeter!
Area of a triangle is 1/2 x base x height.
base = 12
Height = x+6
Area = 1/2 * 12 * x+6
Area = 1/2 * 12x * 72
Area = 6x + 36
Perimeter is the sum of the 3 sides:
x-7 + 12 + 2x+5
3x -2 + 12
3x+10
The last choice is the correct answer.
A recipe includes 6 cups of flour and three fourths cup of butter butter. Write the ratio of the amount of flour to the amount of butter butter as a fraction in simplest form.
To express the ratio of flour to butter from a recipe as a fraction in simplest form, start by setting it up as a fraction and then multiply by the reciprocal of the denominator. In this case, a recipe with 6 cups of flour and three-fourths cup of butter simplifies to a ratio of 8:1.
Explanation:To find the ratio of the amount of flour to the amount of butter as a fraction in simplest form, we start by writing the amounts given in the recipe as a fraction. There are 6 cups of flour and three-fourths (3/4) cup of butter. The initial ratio is therefore:
6 cups of flour / (3/4) cup of butter
To simplify, we can multiply both the numerator (the top part of the fraction) and the denominator (the bottom part of the fraction) by the reciprocal of the denominator:
6 / (3/4) = 6 × (4/3) = 24/3 = 8
So, the simplest form of the ratio of flour to butter is 8:1.
A grocer is going to sort 13.5 pounds of candy weighing 0.75 each. How much candy will be left over? 0 pounds, 0.38 pounds, 0.50pounds, 10.13 pounds
0 pounds
divide 13.5 by 0.75
[tex]\frac{13.5}{0.75}[/tex] = 18 with no remainder
The area of a rectangle is 117117117 square meters. The width is 999 meters.
Area = 117 m² width = 9 m
Area (A) = length (L) x width (w)
117 = L * 9
117 = 9L
[tex]\frac{117}{9} = \frac{9L}{9}[/tex]
13 = L
Answer: length = 9 m
Answer:
117/9=13
13*9=117
So, the length is 13 since L*W=area.
:)
Each section of a race is 2/5 mile.the race has 44 sections.which expression tells how many miles long the entire race is?
answer is equal to 2X44/5mile=17.6mile
Each section of a race is 25 mile.
The race has 4 sections.
Which expression tells how many miles long the entire race is?
Answer:
4×2/5
What is the solution for this inequality?
-4x < 28
A.
x > -7
B.
x < 7
C.
x < -7
D.
x > 7
F the quadratic formula is used to solve 2x 2 = 8x - 3, what are the solutions?
x = 2 ± [tex]\frac{1}{2}[/tex]√10
express the equation in standard form : ax² + bx + c = 0 ( a ≠ 0 )
then x = ( - b ±√( b² - 4ac) ) / 2a
given 2x² = 8x - 3, then
2x² - 8x + 3 = 0 ( in standard form )
with a = 2, b = - 8, c = 3
x = (8 ±√(64 - 24) )/4 = (8 ±√40) / 4 = (8 ± 2√10) / 4
x = 2 ± [tex]\frac{1}{2}[/tex]√10
A small company plans to invest in a new advertising campaign. There is a 20% chance that the company will lose $5,000, a 50% chance of a break even, and a 30% chance of a $10,000 profit. Based ONLY on this information, what should the company do? A) The expected value is $2,000.00, so the company should proceed with the campaign. B) The expected value is $4,000.00, so the company should proceed with the campaign. C) The expected value is −$2,000.00, so the company should not proceed with the campaign. D) The expected value is −$3,000.00, so the company should not proceed with the campaign.
A small company plans to invest in a new advertising campaign.
There is a 20% chance that the company will lose $5,000 ,
50% chance of a break even, and a 30% chance of a $10,000 profit
So the expected value from the advertisement campaign is calculated as - 20% of 5000 + 0% of 5000 + 30% of 10,000
= -1000 + 0 + 3000
= 2000
The expected value from the advertisement campaign is $2000.
So the Company must go ahead with the campaign.
Answer : Option A
Hope it helps.
Thank you ..!!
It costs $100 to be a member of a music club. A member of the club pays $20 per music lesson. A nonmember pay $30 per music lesson. How many music lessons must a member and a nonmember take so the cost for each is the same?
A member and a nonmember must each take 10 music lessons in order for the cost to be the same for both.
Explanation:To find the number of music lessons that must be taken by a member and a nonmember so that the cost for each is the same, we can set up an equation. Let x represent the number of music lessons. For a member, the cost is $100 + $20x, and for a nonmember, the cost is $30x. We can set up the equation:
100 + 20x = 30x
To solve for x, we can subtract 20x from both sides:
100 = 10x
Then, we can divide both sides by 10:
x = 10
Therefore, a member and a nonmember must each take 10 music lessons in order for the cost to be the same for both.
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Fill in the blank. Given O below, you can conclude that AC is congruent to _____.
A. DF
B. OB
C. AB
D. O
Answer:
A. DF
Step-by-step explanation:
The length of OB is the same as OE, and the angle that AC makes with OB is the same as the angle DF makes with OE. This means the length of both chords, AC and DF, must be the same.
We can conclude that [tex]\boxed{\overline {{\text{OD}}} {\text{ is congruent to }}\overline {{\text{OB}}} }[/tex]. Option (A) is correct.
Further Explanation:
Given:
The options are as follows,
A. [tex]\overline {{\text{AC}}} {\text{ is congruent to }}\overline {{\text{DF}}}.[/tex]
B. [tex]\overline {{\text{AC}}} {\text{ is congruent to }}\overline {{\text{OB}}}.[/tex]
C. [tex]\overline {{\text{AC}}} {\text{ is congruent to }}\overline {{\text{AB}}}.[/tex]
D. [tex]\overline {{\text{AC}}} {\text{ is congruent to }}\overline {{\text{O}}}.[/tex]
Explanation:
The length of OE is [tex]{\text{OE}} = 7.12{\text{ units}}.[/tex]
The length of OB is [tex]{\text{OB}} = 7.12{\text{ units}}.[/tex]
The length of OB and OE is [tex]7.12{\text{ units}}.[/tex]
AC and FD are the chords of the circle.
OE and OB are the perpendicular bisector of the chords AC and FD respectively.
The length of the perpendicular bisectors of chords is [tex]7.12{\text{ units}.[/tex]
The given chords of the circle are equidistant from the center of the circle.
We can conclude that [tex]\boxed{\overline {{\text{OD}}} {\text{ is congruent to }}\overline {{\text{OB}}} }[/tex]. Option (A) is correct.
Learn more:
Learn more about inverse of the function https://brainly.com/question/1632445. Learn more about equation of circle brainly.com/question/1506955. Learn more about range and domain of the function https://brainly.com/question/3412497.
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Circles
Keywords: congruent, fill, blank, conclude, DF, OB, AB, AC, chord, tangent, displacement, two chords, radius, center, circle, equidistant,
what is the base 8 representation of the number 11100111(2)
A) 231(8)
B) 329(8)
C) 347(8)
D) 385(8)
Remark
You could convert base two to base 10 and then convert base 10 to base 8. That's the long way. The procedure below is the short way.
Step One
Write the base 2 number in groups of 3 starting from the right and going left
11 100 111
Step Two
Convert the base 2 numbers in groups of 3 to base 8. The largest result will be a 7
11 = 2*1 + 1 = 2 + 1 = 3
100 = 1*2^2 = 4
111 = 1*2^2 + 1*2 + 1 = 7
Step Three
Read the answer going down.
347 is the answer
Answer
347(8) = C
Answer:
Option C)347(8) is correct. Below is the explanation for changing the base 2 number to the base 8
Step-by-step explanation:
Given:
11100111(2)
To find:
Number with base 8.
Let's convert the given base 2 number to a base 10 number or an integer. Then convert it to a base 8 number.
11100111(2) = 1* [tex]2^{7}[/tex]+1* [tex]2^{6}[/tex]+1*[tex]2^{5}[/tex] + 0*[tex]2^{4}[/tex] +0*[tex]2^{3}[/tex] +1* [tex]2^{2}[/tex]+1*[tex]2^{1}[/tex] +1*[tex]2^{0}[/tex]
Simplify it
=128 +64+32 +0+0+4+1+1
=231
Now, change this integer 231 to a base 8 number ( I have attached a file for this)
We get an answer of 347(8). Option C is correct!
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Terry sees an offer about a refurbished phone which is 35% off the original price the new price is £78 how much was the phone before the discounted price
part/whole=0.65
78/whole=0.65
whole =78/0.65 =120 £
Answer:
The price before discount would be $120
Step-by-step explanation:
The actual price of the phone is 100%-35% = 65% of the original price of the phone.
So by rule of three
If 65% of the price is $78, the total price of the phone would be:
[tex]Total price = \frac{74}{0,65} \\\\Total price = 120[/tex]
Aiden is a taxi driver. M(n) models Aiden's fee (in dollars) for his n^th drive on a certain day.What does the statement M(8)<M(4)M, mean
M(n) denotes Aiden's fee (in dollars) for his n^th drive on a certain day.
Then:
M(8) is Aiden's fee for his 8th drive;M(4) is Aiden's fee for his 4th drive.M(8)<M(4) means that 8th drive was less expensive than 4th drive.
Alicia is making cupcakes for a party she is having and wants to make sure everyone gets at least one cupcake. The recipe calls for 1 of a teaspoon of salt for every batch and each batch makes 21 cupcakes. If 2 alicia is having a party with 84 people attending, how many teaspoons of salt will alicia use?
[tex]\frac{84}{21}=4[/tex]
Therefore you need 4 batches of cupcakes if you want every person to get one cupcake.
This means you multiply the amount of salt per batch by the number of batches, to get the total amount of salt you need.Each batch contains 1 teaspoon of salt for 21 cupcakes. Multiply: [tex]4\text{ batches of cupcakes}\times1\text{ teaspoon of salt}=4\text{ teaspoons salt}[/tex] for the whole thing.Which ordered pair makes both inequalities true?
y > –3x + 3
y > 2x – 2
(1,0)
(–1,1)
(2,2)
(0,3)
Answer:
All options are wrong.
Step-by-step explanation:
We have y > –3x + 3 and y > 2x – 2
Option A - (1,0)
y > –3 x 1 + 3 = 0
We have y = 0, which is not greater than 0.
Option A is not correct.
Option B - (–1,1)
y > –3 x -1 + 3 = 6
We have y = 1, which is not greater than 6.
Option B is not correct.
Option C - (2,2)
y > –3 x 2 + 3 = -3
We have y = 2, which is greater than -3.
y > 2 x 2 – 2 = 2
We have y = 2, which is not greater than 2.
Option C is not correct.
Option D - (0,3)
y > –3 x 0 + 3 = 3
We have y = 3, which is not greater than 3.
Option D is not correct.
All options are wrong.
Tobias dropped a tennis ball from a height of 60 meters. The time in seconds it takes for the ball to fall is 60 feet is 0.25 √60. Find three sets of approximations for the amount of time it will take. Then determine how long it will take for the ball to hit the ground.
Answer:-1)The three sets of approximation of time will be
Time taken to fall tennis ball from height of 60 m =35.41014 s ≈35.410 s (to the nearest thousandth)
≈35.41s (to the nearest hundredth)
≈35.5 seconds(to the nearest tenth)
2)Time by the ball to hit the ground =35.5 seconds
Step-by-step explanation:
Time taken to fall tennis ball from height of 60 feet = 0.25 √60 s
So,time taken to fall tennis ball from height of 1 foot =0.25√60 divided by 60=[tex]\frac{0.25\sqrt{60} }{60}s[/tex]
We know that 1 m = 0.3048 foot
⇒60 m =60×0.3048=18.288 feet
therefore, Time taken to fall tennis ball from height of 60 m = 18.288 ×time taken to fall tennis ball from height of 1 foot=[tex]\frac{0.25\sqrt{60} }{60}\cdot18.288=35.41014\ s[/tex]
∴Time taken to fall tennis ball from height of 60 m =35.41014 s ≈35.410 s (to the nearest thousandth)
≈35.41s (to the nearest hundredth)
≈35.5 seconds(to the nearest tenth)
The time it will take for a tennis ball dropped from a height of 60 meters to reach the ground can be calculated using the equation t = 0.25 √h. Three sets of approximations were determined for heights of 30m, 45m and 60m, with the final time for the 60m drop being approximately 1.94 seconds.
Explanation:
The time it takes for the tennis ball to hit the ground can be calculated using the equation t = 0.25 √h, with 't' being time and 'h' being height. Inserting the given height of 60 meters into this equation will reveal how long it takes for the tennis ball to hit the ground.
Approximation set 1: If h = 30 m, t = 0.25 √30 = 1.37 sec Approximation set 2: If h = 45 m, t = 0.25 √45 = 1.68 sec Approximation set 3: If h = 60 m, t = 0.25 √60 = 1.94 sec
From these calculations, it can be determined that the time it will take for the tennis ball dropped from a height of 60 meters to hit the ground is "approximately 1.94 seconds".
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What type of number cannot be written as a fraction p and q where p and q are interfere and q is not equal to zero?
The definition of a rational number is that it can be written in form [tex]\frac{p}{q}[/tex]. If it cannot be written in that form then it is not a rational number (which makes it an irrational number)
Answer: irrational number
@pinkfloyd @taskmasters PLEASE HELP IM STUCK ONE QUESTION??/
Use the figure to answer the question that follows:
Segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively
When written in the correct order, the two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:
Statements Reasons
segment UV is parallel to segment WZ Given
Points S, Q, R, and T all lie on the same line. Given
I m∠SQT = 180° Definition of a Straight Angle
II m∠SQV + m∠VQT = 180° Substitution Property of Equality
III m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate
m∠VQT + m∠ZRS = 180° Same-Side Interior Angles Theorem
m∠SQV + m∠VQT = m∠VQT + m∠ZRS Substitution Property of Equality
m∠SQV + m∠VQT − m∠VQT = m∠VQT + m∠ZRS − m∠VQT
m∠SQV = m∠ZRS Subtraction Property of Equality
∠SQV ≅ ∠ZRS Definition of Congruency
Which is the most logical order of statements and reasons I, II, and III to complete the proof?
The correct logical order for the statements I, II, and III in the proof is: I. Definition of a Straight Angle, III. Angle Addition Postulate, and II. Substitution Property of Equality. This order supports the conclusion that corresponding angles, created by the transversal intersecting parallel lines, are congruent.
To complete the two-column proof that demonstrates the congruence of the corresponding angles when segments UV and WZ are parallel and line ST intersects both at points Q and R respectively, we need to place statements and reasons I, II, and III in the most logical order. This should allow us to show
corresponding angles are congruent, which is the ultimate aim of the proof.
The correct order of statements and reasons to complete the proof is:
Definition of a Straight Angle (I): We know that the angle measure of a straight line is 180°, hence m∠SQT = 180°.
Angle Addition Postulate (III): Based on the postulate, we can express m∠SQV + m∠VQT as equal to the measure of angle SQT because the two angles combine to form the straight angle, therefore m∠SQV + m∠VQT = m∠SQT.
Substitution Property of Equality (II): By substituting the equal values established in statements I and III, we get m∠SQV + m∠VQT = 180°.
After arranging the statements and their corresponding reasons, the proof logically demonstrates that the congruent angle pairs are a result of transversal ST intersecting parallel lines UV and WZ.
Use the drop-down menus to complete each equation so the statement about its solution is true.
no solutions:
7-5+3x-1 = __x + __
one solution:
7-5+3x-1 = __x +__
infinitely Many Solutions
7−5+3x−1=__ x +__
FILL IN THE BLANKS PLEASE :)) (will try to make you brainlist if correct!)
First, let's simplify the expression: 7 - 5 + 3x - 1 ⇒ 3x + 1 (slope=3, y-intercept = 1)
Next, let's understand what they are asking for:
no solutions means same slope but different y-intercepts
Answer: 3x + _______ (the blank can be anything except 1)
one solution means different slopes
Answer: ________x + _______ (the first blank can be anything except 3, the second blank can be anything)
infinitely many solutions means same slope and same y-intercept
Answer: 3x + 1
Answer:
1.3x+9
2.1x+4
3.3x+1
Step-by-step explanation:
Four times the difference of a number and 5 is the same as 5 increased by four times the number plus five times the number
The value of expression is,
x = - 5
Here;
The written expression is;
''Four times the difference of a number and 5 is the same as 5 increased by four times the number plus five times the number.''
We have to solve this expression.
What is Mathematical expression?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.
Now,
Let a number is 'x'.
Then, The mathematical expression is written as;
4* ( x - 5 ) = 5 + (4*x) + (5*x)
We can solve as;
4* ( x - 5 ) = 5 + (4*x) + (5*x)
4x - 20 = 5 + 4x + 5x
- 20 - 5 = 4x + 5x - 4x
- 25 = 5x
x = -5
Hence, The value of expression is,
x = - 5
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Marissa is an event organizer for a charity group. She is organizing a five-hour dinner event being held to raise funds for the charity. The following list shows the costs for hosting the event. Facility Rental: $150 per hour of event Linens: $2 per attendee Food: $20 per attendee Table Decorations: $3 per attendee Musical Entertainment: $1,800 (flat fee) Cleaning Fee: $250 (flat fee) The total cost of the event, with n attendees, is represented by the given expression. Which statement best describes the constant in this expression?
A constant is a number that stays the same no matter what any outside variables are. In this case, the variables are the number of hours of the event and the number of attendees. However, it states in the problem that the event will be 5 hours so that becomes known; the only thing that might change is the number of attendees so you can eliminate any cost that will be affected by that. You are left with Facility Rental, Musical Entertainment, and Cleaning Fee. Furthermore, you can be sure that Musical Entertainment and Cleaning Fee must be included in the constant because they are described as "flat rates", which means they do not change.
The answer is D) It is the total cost for entertainment, facility rental, and cleaning.
Hope this helps!
The statement that best describes the constant in the expression
25n + 2,800 is:
It is the cost per person for food, linens, and food decorations.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Facility Rental = $150 per hour of the event
Linens = $2 per attendee
Food = $20 per attendee
Table Decorations = $3 per attendee
Musical Entertainment = $1,800
Cleaning Fee = $250
The total cost of the event.
= 25n + 2,800
Where n is the number of attendees.
Now,
25 is the total cost per attendee for food, linens, and table decorations.
Thus,
The constant in the expression is 25 which is the cost per attendee for food, linens, and table decorations.
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What is the product of 6+5i and 4+7i?
Enter your answer, in standard form, in the box.
______
The answer to this question is the product is 12i
Answer: The required product is [tex]-11+62i.[/tex]
Step-by-step explanation: We are given to find the product of the following two complex numbers :
[tex]z_1=6+5i,~~~z_2=4+7i.[/tex]
We will be using the following property :
[tex](a+b)(c+d)=a(c+d)+b(c+d).[/tex]
Also, we will use the fact that [tex]i=\sqrt{-1},~~i^2=-1.[/tex]
The product of the given complex numbers is
[tex]z_1z_2\\\\=(6+5i)(4+7i)\\\\=6(4+7i)+5i(4+7i)\\\\=24+42i+20i+35i^2\\\\=24+62i-35\\\\=-11+62i.[/tex]
Thus, the required product is [tex]-11+62i.[/tex]
Tell the numbers that are odd and prime 2,14,23,24,25,31,45
Odd numbers are those numbers that gives a fraction when divided by 2
Prime numbers are those that can be divided only by 1 and the number itself.
Odd numbers are therefore : 23, 25, 31 and 45
Prime numbers are therefore: 2, 23 and 31
The height, in feet, of an arrow shot from a bow in an upwards direction, is modeled by the function h(t) = -16t2 + 96t + 5, where t represents the time in minutes.
Given function: h(t) = -16t^2 + 96t + 5, where t represents the time in minutes.
We need to find the interval for which the arrow is going up.
The arrow is going up would be the values of time t =0 when it start and when it went to highest point.
Given function is a quadratic function and it represents a parabolic shape.
The highest point on the parabola is a vertex point.
Therefore, we need to find the x-coordinate of the vertex.
We know, formula for x-coordinate of the vertex is
[tex]\frac{-b}{2a}[/tex]
For the given quadratic a= -16 and b=96.
Plugging values of a and b in formula, we get
[tex]\frac{-96}{2(-16)}=\frac{-96}{-32} = 3.[/tex]
Therefore, after 3 seconds arrow would be at maximum height.
Therefore, the interval for which the arrow is going up is [0,3].
Meg cycles 6.2 km every morning. How many feet are in 6.2 km, given that 1 mile= 1.609 km and 1 mile= 5280ft
Answer:
There are 20345.556... feet in 6.2 km.
Step-by-step explanation:
Given that, 1 mile = 1.609 km and 1 mile = 5280 ft.
That means we can say, 1.609 km = 5280 ft.
So, 1 km = [tex](\frac{5280}{1.609})ft = 3281.541... ft[/tex]
Now, for converting 6.2 km into feet, we will just multiply 6.2 by 3281.541... ft.
Thus, 6.2 km = [tex](6.2 \times 3281.541...)ft = 20345.556... ft[/tex]
So, there are 20345.556... feet in 6.2 km.
In 2015 there were approximately 33,500 firearm fatalities. How many deaths per hour
How is the divisibility rule for 7 more complicated then the rules for 2,3,5 and 10?
Final answer:
The divisibility rule for 7 is more complex than the rules for 2, 3, 5, and 10 due to the lack of a simple pattern or quick digit check, requiring multiple steps and manipulations of the number.
Explanation:
The divisibility rule for 7 is more complicated than the rules for 2, 3, 5, and 10 because it does not follow a simple pattern or involve a quick check of a number's last digit or sum. The rules for divisibility by 2, 3, 5, and 10 are straightforward: a number is divisible by 2 if its last digit is even, by 3 if the sum of its digits is divisible by 3, by 5 if its last digit is 0 or 5, and by 10 if it ends in 0.
The rule for divisibility by 7 requires more steps and cannot be easily performed in one's head. The process typically involves subtracting or adding multiples of 7 from different segments of the number, which often makes it more difficult for students to use effectively without practice or further understanding of the method. Complicated rules for divisibility by 7 prove the point that while mathematical rules are universally valid, some rules are inherently more complex than others.
Take away 32 from the product of 6 and a number
Sal has a small bag of candy containing three green candies and two red candies. While waiting for the bus, he ate two candies out of the bag, one after the other, without looking. What is the probability that both candies were the same color?
A.
2/5
B.
3/100
C.
8/25
D.
3/5
Answer:
A. 2/5
Step-by-step explanation:
3/5*2/4+2/5*1/4
6/20+2/20
8/20 = 2/5
Answer:
Option A
Step-by-step explanation:
Given that Sal has a small bag of candy containing three green candies and two red candies.
He ate two candies one after the other.
The probability that both candies were the same color has to be calculated.
The probability that both candies were the same color = P(both are red or both are green)
= P(both are red)+P(both are green)
Total no of ways to draw 2 candies out of 5 = 5C2 = 5(4)/2 = 10
No of ways of drawing 2 red candies = 2C2 =1
No of ways of drawing 2 green candies = 3C2 =3
Hence required prob =(1+3)/10 = 2/5
Which of the following fractions is equivalent to -84/-90 in the least common terms?
14/15
(-)14/15
42/45
(-)42/45
The fraction equivalent to -84/-90 in the least common terms is 14/15, as both the numerator and the denominator can be divided by the common factor 6, resulting in a simplified positive fraction.
To find which fraction is equivalent to -84/-90 in the least common terms, we need to simplify the fraction by canceling out any common factors in the numerator and the denominator. We observe that both numbers are divisible by 6. When we divide the numerator and the denominator by 6, we get:
-84 / -90 = (-84 / 6) \/ (-90 / 6) = 14 / 15
Since a negative divided by a negative results in a positive number, we eliminate the negative signs and get the fraction in its least common terms as 14/15.