The girls collected 8.5 pounds more than the boys in class 4
Complete questionFive classes collected money for a charity of their choice. The amounts of money collected by the boys and girls of each are shown in the chart below.
In Class 4, how much more money did the girls collect than the boys?
How to determine the difference in amounts?From the attached chart, we have the following amount in class 4:
Girls = 12 pounds
Boys = 3.5 pounds
The difference is calculated as:
Difference = Girls - Boys
So, we have:
Difference = 12 pounds - 3.5 pounds
Evaluate
Difference = 8.5 pounds
Hence, the girls collected 8.5 pounds more than the boys in class 4
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Trevor is going to a baseball game next Saturday with some friends. He has $50 to spend. His ticket will cost $15 and hot dogs will cost $2.75 each.
What is the greatest number of hot dogs he can buy for himself and his friends?
A.10
B.11
C.12
D.13
Answer:
C. 12
Step-by-step explanation:
50-15=35
35÷2.75=12.7272
Problem-work-interest-total
Rita needs to take out a loan for a new
car. Her loan is for $25,000. The interest
rate on the loan is 6%, and is
compounded yearly. She plans to pay off
the loan in 5 years. What will she owe
after she factors in interest?
The amount that she owes after she factors in interest will be $33,455.64.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
Rita necessities to apply for a line of credit for another vehicle. Her advance is $25,000. The financing cost on the advance is 6% and is accumulated yearly. She intends to take care of the advance in 5 years.
Then the amount is given as,
A = $25,000 x (1 + 0.06)⁵
A = $25,000 x (1.06)⁵
A = $25,000 x 1.3382
A = $33,455.64
The amount that she owes after she factors in interest will be $33,455.64.
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40% of what number is 18?
Answer:
45
40 percent (calculated percentage %) of what number equals 18? Answer: 45.
Answer:
45
Step-by-step explanation:
PLS HELP ME I HAVE NO IDEA WHAT THESE ARE. If you can find all the answers and give me the words you would be a life saver
Answer:
SO EVERYONE WOULD SHOUT LOOK AT THE S CAR GO
Step-by-step explanation:
The brackets just mean to multiplye.g. 3(2)(5) is the same as 3 × 2 × 5When you get the answer, find in in the boxes below and write the letter of that equationI will not go through each question separately because it would take too long, but will give you the wordsWhich is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
The height of a model rocket, H(t), is a function of the time since it was launched, t.What is the domain of H(t)?A.0 ≤ t ≤ 324B.0 ≤ t ≤ 36C.t ≤ 324D.t > 0
Answer:
\(0 \le t \le 36\)
Step-by-step explanation:
Given
The graph of h(t)
Required
Determine the domain
t represents the horizontal data and according to the graph;
The value of t starts at 0 (the beginning of the curve)
and ends at 36 (the end of the curve)
These values are the domain of the graph, and it can be represented as: \(0 \le t \le 36\)
The domain of H(t) is \(0\leq t\leq 36\)
The correct answer is option B. 0 ≤ t ≤ 36
To do this question, the main thing is to look at picture.
We know from the graph that this is a quadratic function, So t has to be less than some positive number.
{ if t → -∞, H(t) → -∞, not in the line with the actual situation}
and look at the graph, the point where H(t) equals zero, one is 0 and one is 36.
Therefore: the domain of H(t) is \(0\leq t\leq 36\).
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Denominator of the fraction
2/5.
Denominator of the fraction 13/16.
This is a 20 point question must answer both plzzz plus Brainly
Answer:
Denominator for 2/5 is 5, and denominator for 13/16 is 16.
A bank manager wants to encourage new customers to open accounts with principals of at least $3500. He decides to make a poster advertising a simple interest rate of 3%. What must the principal be if the bank manager also wants to advertise that one can earn $10 the first month?
The principal if the bank manager also wants to advertise that one can earn $10 the first month is $4000.
How to calculate the principal?From the information, the simple interest is $10 and the rate is illustrated as 3%.
The formula for the simple interest in a month is illustrated as:
S = (p × r × t/12 / 100)
r = rate
t = time
S = interest
Place the values in the formula:
10 = p × 3 × 1 / 100 × 12
10 = 3p/1200
Cross multiply
3p = 12000
Divide
p = 12000/3
p = 4000
The principal is $4000.
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Your taxable wages for Social Security purposes are $1100. How much is your Social Security tax if you have previous taxable wages of $102,000?
If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.
Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.
First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:
Social Security tax = $102,000 x 0.062 = $6,324
Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:
Social Security tax = $1,100 x 0.062 = $68.20
Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
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Carlos has earned more than $260 selling magazines subscriptions. Each subscription
was sold for $12. How many did Carlos sell?
Answer:
21.6 magazines
Step-by-step explanation:
260/12=21.6
An investor wants to save money to purchase real estate. She buys an annuity with yearly payments that earn 5.3% interest compounded annually payments will be made at the end of each year find the total value of the annuity in 16 years if each yearly payment is 693.
The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.
To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:
FV = P * ((1 + r)^n - 1) / r
Where:
FV is the future value of the annuity,
P is the yearly payment,
r is the interest rate per compounding period, and
n is the number of compounding periods.
In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.
Let's substitute these values into the formula and calculate the total value of the annuity:
FV = 693 * ((1 + 0.053)^16 - 1) / 0.053
FV = 693 * (1.053^16 - 1) / 0.053
Using a calculator, we can evaluate the expression inside the parentheses:
1.053^16 ≈ 1.9738
Substituting this value back into the formula:
FV = 693 * (1.9738 - 1) / 0.053
FV = 693 * 0.9738 / 0.053
FV ≈ 12739.62
Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.
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A small college has 1460 students. What is the approximate probability that more than six students were born on Christmas day? Assume that birthrates are constant throughout the year and that each year has 365 days.
Answer:
The approximate probability that more than six students were born on Christmas day is P=0.105.
Step-by-step explanation:
This can be modeled as a binomial variable, with n=1460 and p=1/365.
The sample size n is the total amount of students and the probability of success p is the probability of each individual of being born on Christmas day.
As the sample size is too large to compute it as a binomial random variable, we approximate it to the normal distribution with the following parameters:
\(\mu=n\cdot p=1460\cdot (1/365)=4\\\\\sigma=\sqrt{n\cdot p(1-p)}=\sqrt{1460\cdot(1/365)\cdot(364/365)}=\sqrt{3.989}=1.997\)
We want to calculate the probability that more than 6 students were born on Christmas day. Ww apply the continuity factor and we write the probability as:
\(P(X>6.5)\)
We calculate the z-score for X=6.5 and then calculate the probability:
\(z=\dfrac{X-\mu}{\sigma}=\dfrac{6.5-4}{1.997}=\dfrac{2.5}{1.997}=1.252\\\\\\P(X>6.5)=P(z>1.252)=0.105\)
Diane, Sam, and Boris served a total of 54 orders Monday at the school cafeteria. Diane served 6 fewer orders than Sam. Boris served 2 times as
many orders as Sam. How many orders did they each serve?
Number of orders Diane served:
Number of orders Sam served:
Number of orders Boris served:
Answer:
Let's denote:
- The number of orders Diane served as `D`
- The number of orders Sam served as `S`
- The number of orders Boris served as `B`
From the problem, we know:
1. `D + S + B = 54` (the total number of orders they served)
2. `D = S - 6` (Diane served 6 fewer orders than Sam)
3. `B = 2S` (Boris served 2 times as many orders as Sam)
We can substitute equations 2 and 3 into equation 1 to solve for the variables:
Substitute `D` and `B` in equation 1:
`(S - 6) + S + 2S = 54`
Combine like terms:
`4S - 6 = 54`
Add 6 to both sides:
`4S = 60`
Divide by 4:
`S = 15`
Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:
`D = S - 6 = 15 - 6 = 9`
`B = 2S = 2 * 15 = 30`
So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.
Solve m + 7 = 11.
The solution is?
Answer:
m=4
Step-by-step explanation:
Answer:
4, subtract 7 from both sides m = 4
how to right equivalent ratios
Answer
A ratio is a comparison of two quantities by division. Ratios describe a part-to-part comparison or a part-to-whole comparison. Ratios are written three ways: as a fraction, with a colon, and with the word “to.” The ratio for quantity a to quantity b is : a to b, a over b, and a:b
Number between 300 and 350
Answer: 314
Step-by-step explanation: I am not sure what this question is asking me to do, but a number between 300 and 350 is 314, if that helps.
HELPP!!!
The area of the figure is ____ square units.
Answer:
The answer is 132 square units
Step-by-step explanation:
Cutting the shape
we have two trapeziums
A=(area of small +Area of big)Trapezium
A=1/2(3+9)8 + 1/2(9+12)8
A=1/2×12×8 + 1/2×21×8
A=12×4 + 4×21
A=48+84
A=132 square units
A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 154,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 5% each year. How many total fish did the company catch over the first 10 years, to the nearest whole number?
Answer:
1,116,500 Fish
Step-by-step explanation:
Pls give BRAINLIEST
A
-6
Find the distance, d, of AB.
A = (-5, 5) B = (5, -5)
-4 -2
f
&
-2
-4
9
N
4
B
d = √|×₂ − ×₁1² + y2 - Y₁|²
d = [?]
Round to the nearest tenth.
Distance
Enter
Answer:
88
Step-by-step explanation:
How is the quotient of 3,419 and 11 determined using an area model? Enter your answers in the boxes to complete the equations. 3,419 ÷ 11 = (? ÷ 11 ) + ( > ÷ 11 ) + (9÷11) 3,419 ÷ 11 = ? + ? + 911 3,419 ÷ 11 = ? 911
The quotient of 3,419 and 11 is 310.81.
How to illustrate the information?It should be noted that from the information given, we are to find the quotient of 3,419 and 11 determined using an area model.
It should be noted that this simply means the division of the values given. This will be:
= 3419/11
= 310.81
Therefore, the quotient of 3,419 and 11 is 310.81.
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Use a calculator to evaluate the expression.
log 94.4
Answer:
1.97497
Step-by-step explanation:
Using my calculator, I just put in log(94.4).
Max collected 1/4 of a bin of paper on Monday He collected 2/4 of a bin of Paper on Tuesday Rick collected 6 times as much as max how many bins of paper did rick collect
On Monday, Max collected 1/4 of a bin of paper.
On Tuesday, Max collected 2/4 of a bin of paper.
So in total, Max collected 1/4 + 2/4 = 3/4 of a bin of paper.
Rick collected 6 times as much as Max, which means Rick collected 6 * (3/4) = 18/4 = 4.5 bins of paper.
Therefore, Rick collected 4.5 bins of paper.
Determine the equation of the circle with radius 9 and center ( − 1 , − 8 ).
The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8 )² = 81.
What is the equation of the circle?The standard form equation of a circle with center (h, k) and radius r is:
( x - h )² + ( y - k )² = r²
Given that the circle has a center of (-1, -8) and the radius is 9.
Hence; from the standard form of the equation of the circle:
Center ( h , k ) = ( -1, -8 )
h = -1
k = -8
And radius r = 9
Plug these values into the above formula and simplify.
( x - h )² + ( y - k )² = r²
( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²
Simplify
( x + 1 )² + ( y + 8 )² = 81
Therefore, the equation of the circle is ( x + 1 )² + ( y + 8 )² = 81.
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1,3,6,10,15,21,28 as a function
It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:
f(n) = n*(n+1)/2
Where n is the position of the number in the sequence.
So, for example:
f(1) = 1*(1+1)/2 = 1
f(2) = 2*(2+1)/2 = 3
f(3) = 3*(3+1)/2 = 6
and so on.
Having trouble with this problem
Answer:
True
Step-by-step explanation:
<, >, or =.
if you don't know it don't answer or i report you
help me please
help me please
help me please
help me please
help me please
help me please
help me please
help me please
help me please
Answer: 3/8
Step-by-step explanation: 3/8 is bigger than 0.3.
Answer:
>
Step-by-step explanation:
because when 3/8 is converted to decimal, it is 0.37
A box of chocolates contains 4 hard centres, 6 soft centres and 2 plain chocolates.
A woman chooses a chocolate at random.
What is the probability that she takes either a hard centre or a soft centre?
Give your answer as a fraction in its lowest terms.
Answer:
The chance of taking a hard or soft chocolate would be 5/6
Step-by-step explanation:
Hope this helped can I have brainliest please
The probability that she takes either a hard center or a soft center is, 5/6
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
A box of chocolates contains 4 hard centers, 6 soft centers and 2 plain chocolates.
Hence, We get;
Number of chocolates = 4 + 6 + 2 = 12
And, Number of a hard center or a soft center chocolates = 4 + 6 = 10
Thus, The probability that she takes either a hard center or a soft center is,
⇒ 10 / 12
⇒ 5/6
Hence, The probability that she takes either a hard center or a soft center is, 5/6
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Kellen is having friends over for dinner and needs to buy chicken. He is looking for the best deal. There are three package options for the chicken.
3 lbs. for $15.39
2 lbs. for $9.19
1 lb. for $7.05
Answer:
But the 2lbs.
Step-by-step explanation:
Divide $9.19 by 2 and you get 4.595 which would be the cheapest option out of the 3 because the 1lb is $7.05 and the 3lb is $5.13.
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Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?
Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
10 ÷ 8 = 1.25