Keri walks approximately 4.29 kilometers in one week.
Explanation:Keri walks her dog every morning. On weekdays, the length of the walk is 0.55 km. On weekends, the walk is 1.4 times as long as a walk on a weekday. To find out how many kilometers Keri walks in one week, we need to calculate the total distance she walks on weekdays and weekends.
Distance walked on weekdays = 0.55 km per day
Distance walked on weekends = 1.4 * 0.55 km per day = 0.77 km per day
Total distance walked in one week = (distance on weekdays * number of weekdays) + (distance on weekends * number of weekends)
Since there are 5 weekdays and 2 weekend days in a week, we can calculate the total distance:
Total distance walked in one week = (0.55 km * 5) + (0.77 km * 2) = 2.75 km + 1.54 km = 4.29 km
Keri walks approximately 4.29 kilometers in one week.
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.
Learn more about Cost of music lessons here:https://brainly.com/question/265472
#SPJ2
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
Andre earns $165 for each digital projector that she sells if she works five days a week for 11 hours each day and sales 12 digital projectors a week on average what is her average hourly wage
Answer: Hi!
Andre earns $165 for each digital projector that she sells.
We know that she works 11 hours per day, 5 days per week and that she sells 12 digital projectors a week. We want to know the average hourly wage.
First, we need to know how much she wins in the week. This is the number of digital projectors sold multiplied by the profit for each one:
12*$165 = $1980
And now we need to see how the amount of hours that she works each week, this is 11 hours per day and 5 days per week, then she works 11*5 = 55 hours per week.
Now we can divide the earns per week by the number of hours that she works each week, and obtain the average hourly wage:
$1980/55 = $36
So Andre wins an average of $36 per hour.
Lenny has $74. He spent $24 on video games, and $21 at the grocery store. How much does lenny have left? $
If you spend money, you have less money than before. Subtraction is the operation that describes this "taking quantities away".
So, you start with 74$. You spend 24$, so we have to subtract 24:
[tex] 74-24 = 50 [/tex]
Then, you spend 21$. So, we have to subtract again:
[tex] 50-21 = 29 [/tex]
So, you're left with 29$ after you buy the video game and the groceries.
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.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.
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.
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
Learn more about the mathematical expression visit:
https://brainly.com/question/11211420
#SPJ2
Yolanda used a reconciliation worksheet provided by her bank. Line 5 should equal line 6 at the end of the reconciliation, but it does not. Mega Bank Reconciliation Worksheet Amount 1. Enter the statement closing balance. $ 345 89 2. Enter the sum of any outstanding deposits or credits. $ 0 00 3. Add lines 1 and 2. $ 345 89 4. Enter the sum of any outstanding checks or debits. $ 37 51 5. Subtract line 4 from line 3. $ 308 38 6. Enter your checkbook balance. $ 328 37 Note: Lines 5 and 6 should be equal at the end of the reconciliation. Yolanda wants to first look for a single transaction that could have caused this problem with reconciliation. What is the amount of the transaction that Yolanda should look for in order to find a solution to the problem? A. $17.52 b. $19.99 c. $20.01 d. $37.51
The best answer for the question is B. $19.99
Answer is 19.99 dollars
Explanation:
Let us draw the reconciliatin done by Yolanda linewise
Banking reconciliation Worksheet Amount of Mega
1) Closing balance $ 345 89
2) the sum of any outstanding deposits or credits. 0.00
3) Sum of 1 and 2 345.89
4. sum of any outstanding checks or debits. $ 37 51 5.
5) (3)-(4) $ 308 38
6) checkbook balance. $ 328 37
7) Difference (6)-(5) $ 19.99
SInce difference is exactly 19.99 dollars Yolanda should look for the amount 19.99 dollars to find a solution to the problem i.e. to see the reason for the difference between lines 5 and 6
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".
Learn more about Time of Free Fall here:https://brainly.com/question/33015658
#SPJ3
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.
:)
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:
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]
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.
Take away 32 from the product of 6 and a number
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
In 2015 there were approximately 33,500 firearm fatalities. How many deaths per hour
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
@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.
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.
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].
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,
Which of the following is equal to the expression below?
[tex](160*243)^{\frac{1}{5} }[/tex]
A. 80
B. 96
C. [tex]5\sqrt[5]{5}[/tex]
D. [tex]6\sqrt[5]{5}[/tex]
160 = 2 x 2 x 2 x 2 x 2 x 5 = 2^5 x 5
243 = 3 x 3 x 3 x 3 x 3 = 3^5
So
(160 * 243)^1/5
= 5th root of (160 * 243)
= 5th root of (2^5 * 5 * 3^5)
= 2 * 3 * (5th root of 5)
= 6 * (5th root of 5)
Answer is D. 6 * (5th root of 5)
The resultant expression, equivalent to [tex](160*243)^{1/5}[/tex] is Option (D) [tex]6\sqrt[5]{5}[/tex]
Exponents and its properties -An exponent refers to the number of times a number is multiplied by itself. It is represented as a number or letter written above and to the right of a mathematical expression called the base. It indicates that the base is to be raised to a certain power. x is the base and n is the exponent or power.
Represented as [tex]x^{n}[/tex]
What are some of the properties of exponents ?[tex]x*x*x[/tex] ........ upto n times = [tex]x^{n}[/tex][tex](x^{n})^{1/n} = x[/tex][tex](x^{n}*y^{n} )^{1/n} = xy[/tex]How to solve the given exponent problem to get the equivalent expression ?Given expression is [tex](160*243)^{1/5}[/tex].
Now we are separating the expression,
160 = 2*2*2*2*2*5 = [tex]2^{5}*5[/tex]
243 = 3*3*3*3*3 = [tex]3^{5}[/tex]
∴ [tex](160*243)^{1/5}[/tex] = [tex](2^{5}*5*3^{5})^{1/5}[/tex] = [tex]2*3*5^{1/5}[/tex] = [tex]6\sqrt[5]{5}[/tex]
Thus the equivalent expression is Option (C) [tex]6\sqrt[5]{5}[/tex]
To learn more about exponents and its properties, refer -
https://brainly.com/question/3187898
#SPJ2
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
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
A cafeteria uses 556 kg of rice each week. The rice comes in bags that hold 13 kg each.
How many bags of rice does the cafeteria use each week?
A. 42
B.42 1/3
C.42 10/13
or
D.43 1/3
What are the like terms of 10a+4b+3a-15b
The like terms in the expression are 10a and 3a, as well as 4b and -15b.
We have,
The like terms of the expression 10a + 4b + 3a - 15b are the terms that have the same variable(s) raised to the same power(s).
In this case, the like terms are:
10a and 3a (both have the variable 'a')
4b and -15b (both have the variable 'b')
Thus,
The like terms in the expression are 10a and 3a, as well as 4b and -15b.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
What is the solution for this inequality?
-4x < 28
A.
x > -7
B.
x < 7
C.
x < -7
D.
x > 7