Answer:
See explanation
Step-by-step explanation:
The 20% off sale is a better deal because 20% off of $1500 will cost $1200. (See work).
However, the 200 or 150 dollars off will cost $1300-1350. Thus, the better deal for the dining room set is to use the 20% off.
If their budget is $1250, they will be $50 under budget because they would be paying $1200 for the set.
Work:
1500 x 20%
1500 x 0.20 = 300
1500-300= $1200
1500-150= 1350
1500-200= 1300
Yes, the Porters are under budget. The 20% off sale is the best deal because $1,500 times 0.20 is $300. $300 is a bigger discount than the $150 coupon and $200 rebate. $300 off $1,500 is $1,200, which is less than the amount budgeted.
what is 1 7/8 x 3/4?
Answer:
\({ \tt{ - 1 \frac{7}{8} \div \frac{3}{4} }} \\ \\ = { \tt{ - \frac{15}{8} \div \frac{3}{4} }} \\ \\ = { \tt{ - \frac{15}{8} \times \frac{4}{3} }} \\ \\ = { \tt{ - \frac{60}{24} }} \\ \\ = { \tt{ - \frac{5}{2} }} \\ \\ = { \tt{ - 2 \frac{1}{2} }}\)
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule to determine the following. (a) What percentage of people has an IQ score between 76 and 124? (b) What percentage of people has an IQ score less than 88 or greater than 112? (c) What percentage of people has an IQ score greater than 124? (a) % (Type an integer or a decimal.)
Approximately 68% of people have an IQ score between 76 and 124, based on the bell-shaped distribution with a mean of 100 and a standard deviation of 12.
The percentage of people with an IQ score between 76 and 124 can be determined using the empirical rule. The first paragraph will provide a summary of the answer, and the second paragraph will explain how to compute the percentage.
According to the empirical rule, for a bell-shaped distribution, approximately 68% of the data falls within one standard deviation of the mean. Since the standard deviation is 12, one standard deviation below the mean would be 100 - 12 = 88, and one standard deviation above the mean would be 100 + 12 = 112.
Therefore, approximately 68% of people have an IQ score between 88 and 112, as this range covers one standard deviation on either side of the mean. To find the percentage of people with an IQ score between 76 and 124, we can infer that it will still be close to 68%, as this range falls within two standard deviations of the mean.
Hence, approximately 68% of people have an IQ score between 76 and 124, based on the empirical rule.
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A marathon runner is able to run 15 miles in 3 hours. write an equation that relates the number of miles, y, to the number of hours, x.
Answer:
5y = x
Step-by-step explanation:
15 miles = 3 hours
Divide by 3 on both sides to find how many miles he/she can run in 1 hour.
15 miles = 3 hours ⇒ 5 miles = 1 hour
Therefore, the equation is just 5y = x.
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Omar has been training for the Candlewood Footrace. The first week he trained, he ran 7 days and took the same two routes each day: 3 miles around the track before work and a longer route through his neighborhood after work. By the end of the week, Omar had run a total of 63 miles.
Which equation can you use to find how many miles, x, Omar ran each day after work?
The equation that can be use to find the how many miles, x, Omar ran each day after work is x = (Total distance he ran in one week - The total distance he run before the work in one week) ÷ 7, he ran 6 miles each days after work
The total number of days he run = 7 days
Total distance he ran in one week = 63 miles
The distance he run before the work = 3 miles
The total distance he run before the work in one week= 7×3
= 21 miles
The total distance he run after the work = 63 - 21
= 42 miles
The equation that can use to find how many mile x, Omar ran each day after work = (Total distance he ran in one week - The total distance he run before the work in one week) ÷ 7
Substitute the values in the equation
= 42/7
= 6 miles
Hence, The equation that can be use to find the how many miles, x, Omar ran each day after work is x = (Total distance he ran in one week - The total distance he run before the work in one week) ÷ 7, he ran 6 miles each days after work
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how many combinations from 4 entrees, 6 vegetables, and 6 deserts if you can pick only 1 entree,2 vegetables, and 1 desert
There are 144 combinations of 1 entree, 2 vegetables, and 1 dessert that can be selected from 4 entrees, 6 vegetables, and 6 desserts.
To determine the number of combinations, we multiply the number of options for each category.
For the entree, we have 4 options to choose from.
For the vegetables, we need to select 2 out of 6, which can be done in 6 choose 2 ways.
This is calculated as 6! / (2!(6-2)!), which simplifies to
6! / (2!4!)
Similarly, for the dessert, we have 6 options to choose from.
To calculate 6 choose 2, we can use the formula for combinations:
n choose r = n! / (r!(n-r)!).
Plugging in the values, we have
6! / (2!4!) = (6 × 5 × 4 × 3 × 2 × 1) / [(2 × 1) × (4 × 3 × 2 × 1)] = 15.
Therefore, we have 4 options for the entree, 15 options for the vegetables, and 6 options for the dessert.
Multiplying these numbers together, we get 4 × 15 × 6 = 144.
Therefore, there are 144 possible combinations of 1 entree, 2 vegetables, and 1 dessert, given the options of 4 entrees, 6 vegetables, and 6 desserts.
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Independent Practice
Which property justifies the step shown in solving this equation?
− y−5=11
−y−5+5=11+5
A.
Multiplication Property of Equality
B.
Addition Property of Equality
C.
Division Property of Equality
D.
Subtraction Property of Equality
Answer:
i dont know
Step-by-step explanation:
Celina is making squares with toothpicks. She notices that in making one square, she uses 4 toothpicks.
She continues the pattern and notices that it takes 7 toothpicks to build two squares side by side. To build three squares in a line, she will need 10 toothpicks. If she continues this pattern, how many toothpicks will she need to make 90 squares in a straight line?
How many squares can she build in this pattern if the box she has contains 1,000 toothpicks?
Explain how you figured out one of these answers.
Answer:
270
Step-by-step explanation:
4. Translate rhombus RSTU with R(-1, 6),
S(3, 7), T(2, 3), and U(-2, 2) under the rule
(x, y) → (x + 5, y - 3). What are the
coordinates
of R'?
If f(x) = 22 + 2x – 10, what is f(-2)?
-16
-10
Answer:
idkfin4infiotnoitrnin
Step-by-step explanation:
bye
In a shop the price of a radio is reduced by one third. if the original price of the radio is two thousand four hundred naira,what is the reduced price
If the original price of the radio is 2,400 Naira and it is reduced by one third, then the discounted price is 1,600 Naira.
A store usually provides discount of some items to attract more customers and make greater sales.
Suppose the original price is p, the discount rate is d%, and the discounted price is q, then the discounted price can be calculated as:
q = (1 - d%) x p
Parameters given in the problem:
p = 2,400 Naira
d = 1/3
Hence,
q = (1 - 1/3) x 2400
q = 2/3 x 2400 = 1600
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Part of the population of 5,250 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 11 of them are infected. How many elk are likely to be infected?
Answer:
1,155 elk are infected.
Step-by-step explanation:
Let's use a ratio:
infected : fine
11 : 50
1155 : 5250
3. Which equation is equivalent to: 2-(3x + 5) - 3+ 2(4x + 1). SHOW WORK TO SUPPORT 0 -3x + 7 - 8x + 4 0-3x + 7 - 8x + 5 0-3x -- 3 = 8x + 5 a 3x3 8x +
After simplification of the given linear equation [2-(3x+5)-3+2(4x+1)], the reduced form is 5x - 4.
What is a linear equation?First, it is important to know about algebraic expressions and equations.Algebraic expressions consist of variables and numbers connected with addition, subtraction, multiplication, and division.The equation shows the equality between two algebraic expressions by connecting the two algebraic expressions with an equal sign.A one-degree equation is known as a linear equation.So, the given linear equation:
2-(3x + 5) - 3+ 2(4x + 1)Now, calculate as follows:
2 - (3x + 5) - 3 + 2(4x + 1)2 - 3x - 5 - 3 + 8x + 25x - 4On solving 2-(3x + 5) - 3+ 2(4x + 1), it is reduced to 5x - 4.
Therefore, after simplification of the given linear equation [2-(3x+5)-3+2(4x+1)], the reduced form is 5x - 4.
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the graph of the function f shown consists of three line segments. if the function g is an antiderivative of f such that g(2)=5, for how many values of c, where 0
The only value of c that satisfies the initial condition g(2) = 5 is c = -3.
The graph of a function f consists of three line segments, with points (1,2), (2,3), and (3,4).
An antiderivative of f is a function g such that g'(x) = f(x). That is, g is the "opposite" of the derivative of f. The values of c in an antiderivative g(x) = f(x) + c are determined by the initial condition g(2) = 5, since g'(2) = f(2) = 3.
So, in order to determine the value of c, we need to integrate f(x) and find the value of g(2). The integral of f(x) is
g(x) = x² + 2x + c
Substituting x = 2 into this equation, we get
g(2) = 4 + 4 + c = 8 + c
Now, since g(2) = 5, we can solve for c:
5 = 8 + c
c = -3
Therefore, the only value of c that satisfies the initial condition g(2) = 5 is c = -3.
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Inequalities in Two Triangles
Answer:
It looks blurry can you make it close up?
Step-by-step explanation:
Please answer as quick as possible
The area of the trapezoid is 24cm².
How to calculate the value?It should be noted that the area of a trapezoid is calculated as:
Area = h × (a + b//2
where h = height
Area = 4 × (4 + 8)/2
Area = 4 × 12/2
Area = 4 × 6
Area = 24cm²
The area is 24cm²
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Jasmine and her brother Nat are saving to buy a digital camera that costs $135. Jasmine earns $15 per week for babysitting and spends $5 of it. Nat earns $18 per week for walking dogs and spends $7 of it. Which expression can be used to find how many weeks it will take to save for the digital camera?
Answer:
7 weeks
Step-by-step explanation:
Jasmine=$10
Nat=$11
10+11=$22 each week
135/22=6.14
at least 7 weeks
alice got 5/8 of a full bar of cholctae. zack got 1/4 of the full bat from alice. how much did alice give zack of her own picec?
Alice gave Zack 5/32 of the chocolate bar. If Alice got 5/8 of a full bar of chocolate, this means she has 3/8 of the chocolate left after giving Zack his share.
To find out how much of her own piece Alice gave Zack, we need to subtract Zack's share from the amount Alice originally had.
Alice originally had 5/8 of the chocolate bar, so 1/4 of the full bar that Alice gave to Zack is:
(1/4) x (5/8) = 5/32
Therefore, Alice gave Zack 5/32 of the chocolate bar, which is the same as saying she kept 3/8 - 5/32 = 11/32 of the chocolate bar for herself.
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Which expression is equivalent to
(fg) (5)?
F(5)* g(5)
F(5)+g(5)
5f(5)
5g(5)
Answer:
they F (5) g (5)
Step-by-step explanation:
(fg)=(f.g)
and then this is the first doing (fg)(X)= f(x) [g(x)]
x=5
f(5).g(X)
and they final result is
they top of answer
happy answering
The the composition of f and g denoted by the expression (fg)(5) is equivalent to f(g(5))
What is composition of functions?The composition of two functions f and g is an operation where two functions f and g generates a new function h such that h(x)=f(g(x)).
First we find the value of g(x). If g(x)=y then f(g(x))=f(y).
The value of composition (fg)(x) is equal to f(g(x)).
Thus the value of (fg)(5) is f(g(5)) .
If g(5)=c , some c.
Then (fg)(5)=f(g(5))=f(c)
Hence the value of the composition of f and g of 5 is f(g(5)).
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There are 30 students in the drama club. They are carpooling in 5 vans to perform a play. They want each van to carry an equal number of students. Let s be the number of students in each van. Write and solve a multiplication equation to find the number of students in each van.
Answer: 6 students in each van
Step-by-step explanation: Sx5=30
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
x + 2
Answer:
Step-by-step explanation:
x+2
degree is 1
\(x^{1} +2\)
and has two terms so is a binomial
Math class, last chance to take it!
Answer:
\(\sf x=-4\) \(\sf \ and\) \(\sf y=45\)
Step-by-step explanation:
given:
\(\sf{-\frac{1}{2} x+\frac{1}{5} y=11}\)
\(\sf{3 x+\frac{1}{4} y=-\frac{3}{4} }\)
make x subject:
\(\sf{-\frac{1}{2} x+\frac{1}{5} y=11}\)
\(\sf{-\frac{1}{2} x =11-\frac{1}{5}y}\)
\(\sf{- x =22-\frac{2}{5}y}\)
\(x =-22+\frac{2}{5}y}\)
solve using substitution method:
\(\sf{3 x+\frac{1}{4} y=-\frac{3}{4} }\)
\(\sf{3 (-22+\frac{2}{5}y) +\frac{1}{4} y=-\frac{3}{4} }\)
\(\sf-66 +\frac{6}{5} y+\frac{1}{4} y = -\frac{3}{4}\)
\(\sf 1.45y = 65.25\)
\(\sf y=45\)
then x will be:
\(x =-22+\frac{2}{5}y}\)
\(x =-22+\frac{2}{5}(45)}\)
\(\sf x=-4\)
The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a
rectangle, or a square? Explain.
Answer:
Rhombus
Step-by-step explanation:
The angles add up to 144 degrees, so they can't be a rectangle or a square. Also, diagonals of rhombuses bisect the angles.
Which of the following could be a real-world description of 5x − 18?
$18 in addition to the cost of 5 hot dog combos
The cost of 18 people splitting 5 hot dog combos
The cost of hot dog combos less an $18 coupon split by 5 people
$18 less than the cost of 5 hot dog combos
Answer:
$18 less than the cost of 5 hot dog combos
Step-by-step explanation:
First, we see from the minus sign that this will be subtraction. PEMDAS (order of operations) says we do the multiplication first, then the subtraction.
Divide a24 − a18 + a12 by a6. What is the quotient? A. a4 − a3 + a2 B. a18 − a12 + a6 C. a18 + a12 − a6 D. a30 − a24 + a18
Answer:
A
Step-by-step explanation:
Let X(n) be the number of letters printed by procedure Print Xs() below if the input is n (where n ≥ 1). (i) Give the exact formula for X(n) using the notation. (ii) Give the exact closed-form formula for X(n) expressed as a polynomial function. (iii) Give the asymptotic value of X(n) using the e-notation. Justify your answer. procedure PrintXs(n) for i 1 to 4n+ 1 for j← 1 to i do print ("X")
the exact formula for X(n) is given by the sum of i from 1 to 4n + 1. The closed-form formula for X(n) is (4n + 1)(4n + 2)/2, expressed as a polynomial function. The asymptotic value of X(n) is approximately 4n^2, representing the growth rate as n approaches infinity.
(i) The exact formula for X(n) can be determined by analyzing the procedure PrintXs(n) and counting the number of times the letter "X" is printed. In this case, the outer loop runs for 4n + 1 iterations, and for each iteration, the inner loop runs i times. Thus, the total number of "X" letters printed is given by the sum of i from 1 to 4n + 1.
(ii) To express X(n) as a closed-form polynomial function, we can simplify the sum mentioned above. By using the formula for the sum of an arithmetic series, the closed-form formula for X(n) can be written as X(n) = (4n + 1)(4n + 2)/2.
(iii) The asymptotic value of X(n) can be expressed using the e-notation, which represents an estimate of the growth rate. In this case, as n approaches infinity, the dominant term in the expression (4n + 1)(4n + 2)/2 is 4n^2. Therefore, we can express the asymptotic value of X(n) as X(n) ~ 4n^2.
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On the day that certain crlebrity proposes marriage 10 peoplesknow aboutb it. Each day afterward the number of people who knows triples
Write a function that give the total number n(t) of people who know about the celebrity proposing t days after thecelebrity propose
N(t)=
the total number of people who know about the proposal 5 days after it was announced is 810.
The term \(3^ (t-1)\) represents the number of people who find out about the proposal on day t, which is equal to three times the number of people who knew about it on the previous day. The initial value of 10 represents the number of people who knew about the proposal on the first day.
For example, if we want to find out how many people know about the proposal 5 days after the celebrity proposes, we can plug t=5 into the formula:
N(5) =\(10* 3^(5-1)\) = \(10*3^4\) = \(10*81\) = 810
So the total number of people who know about the proposal 5 days after it was announced is 810.
the complete question is :
Assuming that the 10 people who know about the proposal on the first day do not forget or tell anyone else, we can use the following function to calculate the total number of people who know about the proposal t days after the celebrity proposes:
N(t) = \(10 * 3^(t-1)\)
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troy has an album that holds 900 stamps . Each page of the album holds 9 . If 72% of the album is empty, how many pages are filled with stamps ?
The pages that are filled with stamps are 252
How many pages are filled with stamps ?From the question, we have the following parameters that can be used in our computation:
Stamps = 900
Empty = 72%
Using the above as a guide, we have the following:
Filled = (1 - Empty) * Stamps
So, we have
Filled = (1 - 72%) * 900
Evaluate
Filled = 252
Hence, 252 are filled
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Kesha drives 36 miles in 48 minutes. Keeping the same rate, she drives Response area miles in 12 minutes.
Kesha drives 36 miles in 48 minutes keeping the same rate she drives in 12 minutes
Answer:
Step-by-step explanation:
first divide the 38 to the 48 and the answer to that will get u how many miles per minute she was driving then u multiply 12 to that decimal to get your answer
Can someone please help me with this?
Answer:.35,38% 3/5
Step-by-step explanation:Hope this helped
Answer: 0.35, 38% , 3/5
Step-by-step explanation:
3/5= 0.6= 0.60
38%= 0.38
0.35
( 1,-2), gradient = -3
Answer:
if you are required to find the equation of a straight line use the formula y-y1= m (x-x1)
y+2=-3(x-1)
y+2=-3x+3
y= -3x+3-2
y -3x+1
hope this helps
Answer:
y = -3x + 1
Step-by-step explanation:
(y -(-2)) = -3(x-1)
y+ 2 = -3x+ 3
y = -3x + 1