170 is the answer to this
Answer:
17,000.
Step-by-step explanation:
17,000 x 0.025 = 425.These are all of the steps to completely and correctly solve this question.
Hope this helps!!!
Kyle.
21/35 in simplest form.
The answer would be 0.6 if you divide 21/35.
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
To simplify divide the numerator/denominator by the highest common factor of 21 and 35, that is 7
[tex]\frac{21}{35}[/tex] = [tex]\frac{3}{5}[/tex] ← in simplest form
Find f(t – 3) for f(x) = 4x^2 – 8x + 4.
Question 11 options:
A. 4t^2 – 32t + 64
B. 64
C. 4t^2 – 32t – 64
D. 4t^2 + 32t + 64
Answer:
A. 4t² - 32t + 64Step-by-step explanation:
Instead of x put (t - 3) in the equation of the function f(x) = 4x² - 8x + 4:
f(t - 3) = 4(t - 3)² - 8(t - 3) + 4
use (a - b)² = a² - 2ab + b² and the distributive property a(b + c) = ab + ac
f(t - 3) = 4(t² - (2)(t)(3) + 3²) + (-8)(t) + (-8)(-3) + 4
f(t - 3) = 4(t² - 6t + 9) - 8t + 24 + 4
f(t - 3) = (4)(t²) + (4)(-6t) + (4)(9) - 8t + 28
f(t - 3) = 4t² - 24t + 36 - 8t + 28
f(t - 3) = 4t² + (-24t - 8t) + (36 + 28)
f(t - 3) = 4t² - 32t + 64
How many different sandwiches with one meat, one cheese, and one type of bread can be made if there are 3 choices of meat, 2 choices of cheese, and 4 choices of bread?
Answer:
24
Step-by-step explanation:
⇒The question is on probability, to be specific its about counting principal
⇒You need to understand the counting rule where we multiply events together to get the total number of outcomes .
⇒In general if we have an event t and another event s the total outcome for the events is given by t×s
⇒In this question you multiply the number of ways we can make the different sandwiches
Given
meat=3 choices
cheese=2 choices
bread=4 choices
Outcomes= 3×2×4=24
The total number of sandwiches that can be made = 24
There are 24 different sandwiches that can be made with 3 choices of meat, 2 choices of cheese, and 4 choices of bread.
Explanation:The subject of this question is related to combinatorics, a topic in mathematics. The question asks, 'How many different sandwiches with one meat, one cheese, and one type of bread can be made if there are 3 choices of meat, 2 choices of cheese, and 4 choices of bread?'.
To find the answer, you would use the fundamental principle of counting which states that if there are n ways to do one thing and m ways to do another thing, then there are n * m total ways to perform both actions. In this case, we multiply the number of options together:
There are 3 choices for the meat.There are 2 choices for the cheese.There are 4 choices for the bread.Hence, the total number of different sandwiches that can be made is given by 3 (choices of meat) * 2 (choices of cheese) * 4 (choices of bread), which equals 24 different sandwiches.
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Select all the correct answers.
An architect is designing a swimming pool with a base in the shape of a right triangle. According to the architect, the pool’s depth should be 6 feet less than its length, x, and its width should be 8 feet less than its length. The volume of water in the pool cannot exceed 1,680 cubic feet. Which statements about the pool are true?
The water level in the pool cannot exceed 14 feet.
The water level in the pool cannot exceed 20 feet.
The inequality x3 − 14x2 + 48x − 1,680 ≥ 0 can be used to find pool’s length.
The inequality x3 − 14x2 + 48x − 1,680 ≤ 0 can be used to find pool’s length.
The inequality x3 − 14x2 + 48x − 3,360 ≤ 0 can be used to find pool’s length.
Answer:
The inequality x3 − 14x2 + 48x − 1,680 ≤ 0 can be used to find pool’s length.
⇒The water level in the pool cannot exceed 14 feet.
Step-by-step explanation:
The question is on inequalities
Given;
Length= x ft
depth= x-6 ft
Width= x-8 ft
volume ≤ 1680 ft³
Forming the inequality to find length x of the pool
Volume= base area × depth
base area × depth ≤ volume
x(x-8) × (x-6) = 1680
(x²-8x )(x-6) = 1680
x(x²-8x) -6 (x²-8x)=1680
x³-8x²-6x²+48x=1680
x³-14x²+48x=1680
x³-14x²+48x-1680 ≤ 0
⇒The water level in the pool cannot exceed 14 feet...why?
taking the value of x at maximum to be 17 according to the graph, then maximum depth will be;
d=x-6 = 17-6=11 ft
⇒11 ft is less than 14ft
The ratio of Alex’s toy cars to Jim’s toy cars is 8:3. How many toy cars do they have altogether, if Alex has 40 more cars than Jim.
[tex]\bf \cfrac{\textit{Alex's cars}}{\textit{Jim's cars}}=\cfrac{8}{3}\qquad \qquad \cfrac{\stackrel{\textit{40 more than \underline{j}}}{j+40}}{j}=\cfrac{8}{3}\implies 3j+120=8j \\\\\\ 120=5j\implies \cfrac{120}{5}=j\implies 24=j \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{Jim}}{j = 24}\qquad \qquad \stackrel{\textit{Alex}}{24+40\implies 64}\qquad \qquad \stackrel{\textit{altogether}}{24+64\implies 88}[/tex]
The total number of cars that Alex and Jim have altogether is 84 cars.
What is a ratio?A ratio is a quantitative relationship between two different numbers that express the number of times in which a number is divisible within the other number. Sometimes ratios can be expressed in fraction form.
From the given information:
The ratio of Alex to Jim's toy is 8 : 3If Alex has more toys than Jim, i.e Jim = x and Alex = x + 40.Then, we can express them in fraction form as:
[tex]\mathbf{\dfrac{8}{3} = \dfrac{x +40}{x}}[/tex]
8x = 3(x +40)
8x = 3x + 120
8x = 3x = 120
5x = 120
x = 120/5
x = 24
Jim = x = 24 cars
Alex = x + 40 = 24 + 40 = 64 cars.
The total number of cars they have altogether is 24+64 = 84 cars.
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Suppose you deal three cards from a regular deck of 52 cards. What is the probability that they will all be jacks?
Answer:
Probability of getting three jacks = [tex] \frac { 3 } { 5 2 } [/tex]
Step-by-step explanation:
It is given that you deal three cards from a regular deck which contains 52 cards.
We are to find the probability of getting all three Jack cards.
We know that there are a total of 4 jacks in a regular deck of 52 cards.
Therefore, the probability of getting three jacks = [tex] \frac { 3 } { 5 2 } [/tex]
3 chances of jacks out of 52 cards
Sarah Saver writes a $40 check which is returned by her bank with additional charges. If the company she wrote the check to, Johnson Plumbing, also charges $25 for returned checks, which of the following represents the amount Sarah must have to balance her debts?
Answer: $65 dollars to johnson plumbing
Step-by-step explanation:
she would owe johnson plumbing 40 for the check plus the returned check fee of 25
$40 + $25 = $65 to johnson plumbing
plus whatever her bank charged ( i did not see that amount listed)
Final answer:
Sarah Saver must have enough money to cover the original $40 check, the $25 fee from Johnson Plumbing, and any additional bank charges. The expression representing the total amount needed is $40 + $25 + B, where B represents the bank's charges.
Explanation:
The student is asking about the total amount Sarah Saver must have to balance her debts after writing a $40 check that was returned with additional charges and a $25 fee for the returned check from the company. To find the total amount Sarah owes, you need to sum the amount of the check and the additional fees charged by her bank and Johnson Plumbing.
Add the original check amount: $40.
Add the fee charged by Johnson Plumbing for the returned check: $25.
Add any additional charges by her bank (the question doesn't specify an amount, so let's denote this amount as B).
The total amount Sarah needs to settle her debts will be $40 + $25 + B.
Therefore, without knowing the specific bank charges, we cannot provide a numerical answer, but the expression $40 + $25 + B represents the total amount Sarah needs to cover her debts, with B being the additional bank charges.
Solve for the variable x in the following equation. x2 = 121 x =±
Answer:
x = ±11
Step-by-step explanation:
x^2 = 121
Take the square root of each side
sqrt(x^2) = sqrt(121)
x = ±11
today Kylee put a kitchen table on layaway by making a down payment of 120 and agreeing to pay $48 a month starting next month for 24 months when will I receive the kitchen table
Answer:
2 1/2 months by the 3rd month
Step-by-step explanation:
Answer:
Kylee will receive the table in 24 months.
Step-by-step explanation:
Layaway is a type of purchasing method where the buyer places a deposit on an item to secure it or lay it aside. The buyer will pick up the item later when he pays the full balance.
This system allows the buyer to make smaller payments on the item until the full amount has been paid off.
So, if Kylee put the kitchen table on layaway, and agrees to pay $48 a month starting next month for 24 months. She will get the table in 24 months after completing her payment.
How do you get to 5,652 using 12 + something?
"Something" is a variable. A variable is a number that we do not know. The variable will be x.
5,652 is the total; the total is 12 plus x.
5652 = 12 + x
Subtract 12 from each side
5652 - 12 = 12 + x - 12
5640 = x
change it around
x = 5640.
5640 is your answer
Find the volume of the cone with the given dimensions: r = 9 m, h = 13 m
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=9\\ h=13 \end{cases}\implies V=\cfrac{\pi (9)^2(13)}{3} \\\\\\ V=351\pi \implies V\approx 1102.70[/tex]
I need help please??!!
Answer:
Step-by-step explanation: (5,-2)
Answer:
(5,-2)
Step-by-step explanation:
Help me please will give 14 points
First, set up a proportional fraction.
[tex]\frac{5 sec}{30 gallons}[/tex] = [tex]\frac{x sec}{1gallon}[/tex]
Cross multiply
5 * 1 = 5
30 * x = 30x
So,
30x = 5
Divide 5 by 30
x = 5 / 30
x = 1 / 6 or 0.17
Do the same thing to find for 17 gallons.
30x = 85
x = 85 / 30
x = 17 / 6 or 2.8
what is 0.007÷0.0435
Answer:0.16091954023
Step-by-step explanation:
Answer: Based on the calculator it’s...
0.16091954023
Step-by-step explanation:
Which option below correctly lists the domain, range, and a point on the graph of q(x)=x-49?
Domain = All real numbers greater than or equal to 49; Range = All non-negative numbers; (13, 218)
Domain = All real numbers greater than or equal to 49; Range = All non-negative numbers; (50, 1)
Domain = All non-negative numbers; Range = All real numbers greater than or equal to 49; (218, 13)
Domain = All non-negative numbers; Range = All real numbers greater than or equal to 49; (1, 50)
Answer:
Domain = All non-negative numbers; Range = All real numbers greater than or equal to 49; (1, 50)
Step-by-step explanation:
Answer:
Domain = all real number greater than or equal to 49
Range=all non- negative numbers
point=(50,1)
Step-by-step explanation:
The graph of q(x)=x-49
domain is the collection of numbers which assign for x in the function q(x)=x-49
therefore domain is the collection pf real number which is greater than or equal to 49 .
Range is the collection of numbers whic is obtained after aasignig value of x in the function q(x)=x-49
hence, range is the collection of non negative numbers which is obtained after putting the value of x in the given function q(x)=x-49
when we put x=50 in q(x)=x-49 then we obtain 1
hence, the poin is (50,1) on the given graph.
what’s the MAD of 7 20 9 35 12 15 7 10 20 25
Answer:
Population size:10
Mean (μ): 16
Mean Absolute Deviation (MAD): 7.2
Step-by-step explanation:
Mean absolute deviation (MAD) Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. ... Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.
A rectangle is 17 inches long and 7 inches wide. Find its area,
112 square inches
0
59 aquare inches
©
119 square inches
24 square inches
119 square inches long
Answer:
119
Step-by-step explanation:
(✿◠‿◠)
Which of the following is a feature of a credit card?
A: more flexibility
B: purchases are automatically deducted
C: requires a linked bank account
D: similar to cash
Credit cards offer more flexibility compared to other payment methods.
The correct answer is
A: more flexibility.
A: more flexibility - Credit cards provide users with the flexibility to make purchases without needing to have the full amount of money upfront. Instead, they can borrow funds up to a certain limit, known as the credit limit, and repay them later, often with interest. This flexibility allows cardholders to manage their cash flow more effectively and make purchases even when they may not have sufficient funds available in their bank account.
B: purchases are automatically deducted - This feature describes a debit card rather than a credit card. With a debit card, purchases are automatically deducted from the linked bank account at the time of the transaction, meaning that the cardholder needs to have sufficient funds available in their account to cover the purchase.
C: requires a linked bank account - While credit cards may require applicants to have a bank account for verification purposes, they do not necessarily need to be linked to a specific bank account for transactions to be processed. Credit cards operate on a revolving line of credit extended by the issuer, allowing cardholders to borrow money up to a certain limit regardless of their bank account balances.
D: similar to cash - Credit cards are not similar to cash. Unlike cash, which involves immediate payment and does not incur any interest charges, credit cards allow users to defer payment for purchases and may accrue interest if the balance is not paid in full by the due date. Additionally, credit cards offer various benefits such as rewards, cashback, and purchase protection, which are not typically associated with cash transactions.
Therefore the correct option is A: more flexibility
Complete question
Which of the following is a feature of a credit card?
A: more flexibility
B: purchases are automatically deducted
C: requires a linked bank account
D: similar to cash
need helpppppp thank you!!
Answer:
I would say 50%
Step-by-step explanation:
The answer is 50%. Hope that helps!
ABC or d? I really need help and CANNOT get this wrong
Answer:
1.A. X6Y5
Step-by-step explanation:
Remove the Parenthesis calculate the product#2 I have no clue on that one.
So sorry but I simply forgot to answer your questions.
The answer to question 1 is A.
The answer to question 2 is D.
If an equation is an identity, then how many solutions does it have?
Identities have INFINITE solutions.
Hope I could help! :)
Answer:
Infinite solution
Step-by-step explanation:
We are given an equation is identity
We have to find that how many solutions equation have
Identity equation:Identity equation is that true equation in which no matter what value is substitute for variable .It is always true statement.
Suppose that we have an identity equation
[tex]x=x[/tex]
[tex]x-x=0[/tex]
[tex]0=0[/tex]
If this type of condition is obtained then we have infinite solutions.
So, if an equation is identity then the equation have infinite solutions.
Drag each label to the correct location on the figure. Not all labels will be used.
Find the missing angle measurements.
Answer:
The answers are on the image shown.
remember that all the angles of a triangle add up to 180
Step-by-step explanation:
hope this helps
Answer:
The measure of angle B is 54°. The measure of angle A is 51°. The measure of angle AFE is 47°.
Step-by-step explanation:
According to exterior angle theorem: It a triangle
Exterior angle = Sum of opposite interior angles
In triangle BED,
[tex]\angle AEF=\angle B+\angle D[/tex]
[tex]82=\angle B+28[/tex]
[tex]82-28=\angle B[/tex]
[tex]54=\angle B[/tex]
The measure of angle B is 54°.
In triangle ABC,
[tex]\angle ACD=\angle A+\angle B[/tex]
[tex]105=\angle A+54[/tex]
[tex]105-54=\angle A[/tex]
[tex]51=\angle A[/tex]
The measure of angle A is 51°.
In triangle AEF,
Using angle sum property,
[tex]\angle A+\angle E+\angle AFE=180[/tex]
[tex]51+82+\angle AFE=180[/tex]
[tex]133+\angle AFE=180[/tex]
[tex]\angle AFE=180-133[/tex]
[tex]\angle AFE=47[/tex]
Therefore the measure of angle AFE is 47°.
Help me
Check it for me
Answer:
£270
Step-by-step explanation:
Works 7.5 hours per shift and there are 5 shifts in a week, hence
hours worked per week = 7.5 × 5 = 37.5
Pay per hour = £7.20, thus
Earnings for a week = 37.5 × 7.20 = £270
Rewrite as a simplified fraction.
__
0.612 = ?
Final answer:
To convert the decimal 0.612 to a fraction, express it as 612/1000 and then divide both the numerator and the denominator by their greatest common divisor, which is 4, to get the simplified fraction 153/250.
Explanation:
To rewrite 0.612 as a simplified fraction, one can first recognize that it's equivalent to 612/1000. After realizing that, we can simplify the fraction by finding the greatest common divisor (GCD) of both the numerator and the denominator. In this case, the GCD of 612 and 1000 is 4. Hence, we can divide both numerator and denominator by 4 to simplify the fraction.
Dividing both 612 and 1000 by 4, we obtain 153/250. So, 0.612 as a simplified fraction is 153/250.
multiply (a-2)(2a^2-5a-2)
Distribute sum groups
a(2a^2 - 5a - 2) - 2(2a^2 - 5a - 2)
Expand
2a^3 - 5a^2 - 2a - (4a^2 - 10a - 4)
Simplify brackets
2a^3 - 5a^2 - 2a - 4a^2 + 10a + 4
Collect like terms
2a^3 + (-5a^2 - 4a^2) + (- 2a + 10a) + 4
Simplify
= 2a^3 - 9a^2 + 8a + 4
Someone plz help me with this
Answer:
Step-by-step explanation:
Wes lives in Colorado, which has a state income tax rate of 4.63%. He earns $895 weekly. How much state income tax is withheld from each of his paychecks?
All you must do to find out how much is with held from his paycheck is
solve this
x amount of dollars
÷ = 4.63%
$895
To solve, multiply $895 by 0.0463 (the equivalent of 4.63%)
You get: $41 . 43
That is how much is withheld from Wes' check
The amount of tax withheld from his paychecks is $41.43
What is percentage?Percentage is defined as a given part or amount in every hundred
Income tax rate given in the question = 4.63%
Weekly income given in the question = $895
Tax deducted = (4.63 / 100) * 895 = $41.43
Hence, $41.43 will be deducted from his paychecks every week.
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What is the value of z in the equation 2(4z − 9 − 7) = 166 − 46?
Answer:
z = 19
Step-by-step explanation:
Given
2(4z - 9 - 7) = 166 - 46 ← simplify both sides
2(4z - 16) = 120 ← distribute parenthesis on left side
8z - 32 = 120 ( add 32 to both sides )
8z = 152 ( divide both sides by 8 )
z = 19
Answer:
z = 19.
Step-by-step explanation:
2(4z − 9 − 7) = 166 − 46
2(4z − 9 − 7) = 120
Divide both sides by 2:
4z − 9 − 7 = 60
4z = 76
z = 19.
the diameter of a bicycle wheel is 0.7 meters. find the number of complete revolutions made by the wheel if the bicycle travels 440 meters. use 22/7 as an approximation for [tex]\pi[/tex]
Final answer:
To calculate the number of complete revolutions a bicycle wheel makes after traveling 440 meters, we find the wheel's circumference using its diameter and then divide the travel distance by the circumference. With a diameter of 0.7 meters and using 22/7 as an approximation for π, the wheel's circumference is 2.2 meters. The wheel makes 200 complete revolutions to cover 440 meters.
Explanation:
Finding the Number of Complete Revolutions
To find the number of complete revolutions made by a bicycle wheel when the bicycle travels a certain distance, we firstly need to calculate the circumference of the wheel. The circumference 'C' of a circle can be found using the formula C = πd, where π (Pi) is a constant (approximately 22/7 or 3.14) and 'd' is the diameter of the circle. In this case, we are given that the diameter of the bicycle wheel is 0.7 meters.
Using the approximation for π of 22/7 and the given diameter, the circumference is: C = π × d = (22/7) × 0.7 meters = 2.2 meters.
To find the number of complete revolutions 'N', we divide the total distance the bicycle travels by the circumference of the wheel: N = total distance / circumference = 440 meters / 2.2 meters. So, the number of complete revolutions the wheel makes is 200.
Evaluate 4 · 1 + 6 · 16 + 0
a) 8
b) 0
c) 100
d) 185
4+96=100 when you follow PEMDAS
Answer:
c) 100
Step-by-step explanation:
We want to evaluate
[tex]4\times1+6\times 16+0[/tex]
We use the order of operations, PEDMAS to solve this problem.
The first step here is to multiply to get:
[tex]4+96+0[/tex]
We now add to obtain:
[tex]100[/tex]
The correct answer is C) 100