what decimal is equivalent to 8%
(a). 8.0
(b). 0.8
(c). 0.08
combine like terms to simplify 2xy-xy-y+7y-xy
Margaret is saving $20 every week so that she can have enough money to buy a bracelet she wants. The bracelet costs $525. What is the minimum number of weeks she will have to save to be able to buy the bracelet.?
Book World receives 12 boxes of books. Each box contains 16 copies of the new best-seller, Norton’s Last Laugh. How many copies of Norton’s Last Laugh does the store receive?
Write the ratio 8:20 in the simplest form
Simplified ratio 0.4
The lottery in an extremely small state consists of picking two different numbers from 1 to 10. Ten Ping-Pong balls numbered 1 through 10 are dropped into a fish bowl, and two are selected at random. Suppose you bet on 2 and 9. What is the probability that you won the lottery?
To win the lottery by betting on numbers 2 and 9, the combined probability is calculated by multiplying the individual probabilities of drawing each number. The probability of drawing number 2 is 1/10, and subsequently drawing number 9 is 1/9, resulting in a combined probability of 1/90.
Explanation:The question asks about the probability of winning a lottery by correctly guessing two specific numbers out of ten. To determine this probability, we must consider the two stages of the lottery separately. Initially, any one of the ten balls can be drawn, so the probability of drawing the first number you bet on, which is 2 in this case, is 1/10. Once the first ball is chosen, it is not replaced, meaning the second selection will be made from the remaining nine balls. Therefore, the probability of drawing the second number you bet on, number 9, after having already drawn number 2, is 1/9. We use the product rule because we need the outcome of drawing both numbers.
Using the product rule, the combined probability of drawing both numbers in the correct order is calculated by multiplying the probabilities of each individual event. Therefore, the combined probability is (1/10) x (1/9), which simplifies to 1/90. This is the probability of winning the lottery by betting on numbers 2 and 9.
express as the sum or difference of logarithms .simplify answer
[tex]log_6(17w)[/tex] can be expressed as [tex]log_6(17) + log_6(w)[/tex] using the sum of logarithms property.
To express log base 6 of 17w as the sum of logarithms, you can use the properties of logarithms, specifically the product rule for logarithms:
[tex]log_b(xy) = log_b(x) + log_b(y)[/tex]
In this case, you have log base 6 of 17w, and you want to express it as the sum of logarithms. You can do this as follows:
[tex]log_6(17w) = log_6(17) + log_6(w)[/tex]
So, log base 6 of 17w can be expressed as the sum of log base 6 of 17 and log base 6 of w.
This is a straightforward application of the product rule for logarithms, where you split the logarithm of a product into the sum of the logarithms of the individual factors.
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when table sugar is burned in air, carbon dioxide and water vapor are products, as shown by the following unbalaned chemical equation: C12H22O11(s)+O2(g) =CO2(g)+H2O(g)
The balaned chemical equation of C₁₂H₂₂O₁₁(s)+ 12 O₂(g) = 12 CO₂(g)+ 11 H₂O(g).
What is a balanced chemical equation?A chemical equation is a representation of elements taking part in chemical reactions.In a chemical reaction, all elements are written with their physical state.Law of a chemical equation
The mass of the reactant side is always equal to the mass of the reactant side.To balance the chemical equation coefficient is added to make the number of atoms equal on both sides.Reactant side = product side
C₁₂H₂₂O₁₁(s)+O₂(g)⇒ CO₂(g)+H₂O(g) (unbalanced)
C₁₂H₂₂O₁₁(s)+ 12 O₂(g) ⇒12 CO₂(g)+ 11 H₂O(g) (balanced)
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Sarah's investment in jet blue stock grew 28% to $448 how much did she originally invest?
Final answer:
Sarah's original investment was calculated by dividing the final amount of $448 by 1 plus the percentage increase in decimal form, which gives us $350 as the original investment before a 28% growth.
Explanation:
The student is asking to calculate the original investment amount before a 28% increase resulted in a final amount of $448. To find the original investment, we divide the final amount by 1 plus the percentage increase in decimal form. In this case, the percentage increase is 28%, which is 0.28 in decimal form.
The formula to find the original investment (O) is:
O = Final Amount / (1 + Percentage Increase)
So, the original investment would be calculated as follows:
O = $448 / (1 + 0.28) = $448 / 1.28
After performing the division, we find the original investment is:
O = $350
Therefore, Sarah originally invested $350 in JetBlue stock.
The graph y=ln(x) is translated 7 units to the left and 4 units upward. The transformed equation is ____.
Determine the unit price to the nearest tenth of a cent, and then determine the better buy. Option A: 12 eggs for $2:30 or Option B: 18 eggs for $3.25
Answer:
Since the option B has the lower unit price, it is the better buy.
Step-by-step explanation:
The better buy is the one with the lowest unit price.
For each of the Options, we can find the unit price by a rule of three problem.
Rule of three problem
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.
In this problem, the measures are:
- The number of units
- The total price
As the number of units increases, so will the total price, which means that the relationship between the measures is direct and we have the following rule of three:
Option A:
12 units - $2.30
1 unit - $x
12x = 2.30
[tex]x = \frac{2.30}{12}[/tex]
x = $0.20.
In option A, the unit price is $0.20
Option B
18 units - $3.25
1 unit - $x
18x = 3.25
[tex]x = \frac{3.25}{18}[/tex]
x = $0.18.
In option B, the unit price is $0.18.
Since the option B has the lower unit price, it is the better buy.
without a calculator work out 0.5 multiplied by 0.8
Please help ASAP
Find how long it takes $1500 to double if it is invested at 7% interest compound semiannually. Use the formula A=P (1+r/n)^nt to solve the compound interest problem.
It will take approximately ? Years .
Round to the nearest tenth as needed.
How many hundredths are in 401.308
Gabrielle is 10 years younger than Mikhail. The sum of their ages is 56 . What is Mikhail's age?
What is the slope of the line whose equation is 2x−4y=102x−4y=10 ?
Answer:
That's the correct answer!!
Step-by-step explanation:
write an equation of the line containing the given point and perpendicular to the given line. express your answer in the form y=mx+b. (3,7); 7x+y=4. simplify
The price, s, of a mountain bike at Speed Cycling is $290 less than twice the price, d, of the same bike at Downhill Racing. The difference in price between the bike at Speed Cycling and Downhill Racing is $304. Which system of equations can be used to determine the price of the bike at each store?
s - 2d = -290
s - d = -304
2s - d = 290
s - d = -304
2s - 2d = 290
s - d = -304
s - 2d = -290
s - d = 304
The system of equations that can be used to determine the price of the mountain bike at each store is:
s - 2d = -290
s - d = 304
Let's determine the correct system of equations to find the prices of the mountain bike at Speed Cycling (s) and Downhill Racing (d).
Given:
The price at Speed Cycling (s) is $290 less than twice the price at Downhill Racing (d). This can be expressed as s = 2d - 290.
The price difference between Speed Cycling and Downhill Racing is $304. This can be expressed as s - d = 304.
Now, we have the two equations:
s = 2d - 290
s - d = 304
These equations form a system that can be used to determine the prices of the bike at each store.
To solve for s and d, you can use the method of substitution or elimination. By substituting the value of s from the first equation into the second equation, you can find the prices of the bike at each store:
Substitute s from the first equation into the second equation:
(2d - 290) - d = 304
Now, solve for d:
d - 290 = 304
Add 290 to both sides:
d = 304 + 290
d = 594
Now that you've found the price at Downhill Racing (d), you can find the price at Speed Cycling (s) by using the first equation:
s = 2d - 290
s = 2 * 594 - 290
s = 1188 - 290
s = 898
So, the price of the mountain bike at Downhill Racing (d) is $594, and the price at Speed Cycling (s) is $898.
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what is the mean of 23,25,24,26,23,25,22,22,23,40
which capital letter appears to have parallel line segments?
A.D
B.L
C.N
D.T
A total of 304 tickets were sold for the school play. They were either adult or student tickets. The number of student tickets were sold was three times the number of the adult tickets sold. How many adult tickets were sold?
76 adult tickets were sold.
Explanation:Let's assume the number of adult tickets sold is x. Since the number of student tickets sold was three times the number of adult tickets sold, we can represent it as 3x.
According to the problem, the total number of tickets sold was 304. So, we can write the equation:
x + 3x = 304
Combining like terms, we get:
4x = 304
Divide both sides by 4:
x = 76
Therefore, 76 adult tickets were sold.
Help me understand this MATH problem...MR.LARSON IS PLANNING THE SEATING FOR A SCHOOL RECITAL. HE NEEDS TO RESERVE 1/3 OF THE SEATS FOR STUDENTS AND 1/6 OF THE SAETS FOR PARENTS.
A. AFTER RESEVING SEATS FOR STUDENTS AND PARENTS, WHAT FRACTION OF THE SEATS IN THE AUDITORIUM ARE LEFT?
B. MR.LARSON's PRINCIPAL TELLS HIM THAT HE ALSO NEEDS TO RESREVE 1/8 OF THE SEATS FOR TEACHERS AND SCHOOL OFFICIALS. THE REMAINDER CAN BE USED FOR OPEN SEATING. WHAT FRACTION OF THE SEATS ARE NOW LEFT FOR OPEN SEATING?
C. LATER, MR.LARSON's PRINCIPAL SAYS HE SHOULD RESERVE 1/4 OF THE SAETS FOR STDENTS FROM OTHER MIDDLE SCHOOLS. ARE THERE ENOUGH SEATS LEFT? IF NOT, EXPLAIN WHY NOT; OTHERWISE, STATE WHAT FRACTION OF THE SEATS WILL BE AVAILABLE FOR OPEN SEATING.
How to estimate 51% of 62
kock's kinky curve is created by starting with a straight line segment and replacing it with a four segments, each 1/3 as long as the original segment. So, at the second stage the curve has three bends, At the next stage, each segment is replaced by four segments, and so on. How many bends does this curve have at the third stage? the fourth stage? The nth stage?
Answer:
thats disturbing
Step-by-step explanation:
Answer in factored form x^2-2x-35
Please help ASAP
Find how long it takes $1500 to double if it is invested at 7% interest compound semiannually. Use the formula A=P (1+r/n)^nt to solve the compound interest problem.
It will take approximately how many Years ?
Round to the nearest tenth as needed.
for today only I am authorizing you to offer a free insurance plan for one year to customers who sign up for our regularly costs 6.99 a month. that will save the customer almost how much a year
A customer would save nearly $83.88 in a year if they were offered a free insurance plan which usually costs $6.99 per month.
Explanation:The question pertains to how much a customer would save in a year if they were offered a free insurance plan for one year which normally costs $6.99 a month. To calculate the annual savings, multiply the monthly cost by 12 (the number of months in a year). Therefore, $6.99 x 12 = $83.88. That is nearly how much a customer would save in insurance premiums over the course of a year.
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what is 1.3% of 5000 what is 1/3 of $5,000
The value of 1.3% of 5000 is 65 and 1/3 of $5,000 is 1650.
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE know that percentage is a minimum number or ratio that is measured by a fraction of 100.
We need ot find the 1.3% of 5000 and 1/3 of $5,000.
So first 1.3% of 5000 ,
1.3% x 5000
1.3 / 100 x 5000
1.3 x 50
65
Second 1/3 of $5,000,
1/3 x $5,000
0.33 x 5,000
1650
Therefore, the value of 1.3% of 5000 is 65 and 1/3 of $5,000 is 1650.
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Pool is 25ft long and 15 ft wide and the width of the walkway is to be the same all around the pool. How wide do I make the walkway?