Answer:
A 3.1%
Step-by-step explanation:
x = percentage (Has to equal 2)
64x = 66
For 3.1%: CORRECT
64(3.1%) = 2
64 + 2 = 66
For 96.9%: NOPE
64(96.9%) = 62
For 3%:
64(3%) = 1.92
If a calculator is sold for R120.00. What will the new price of a calculator be if the
original selling price is Increased in a ratio of 5:3
Answer:
300
Step-by-step explanation:
5/3=120/x
300
The new selling price of the calculator will be R200.00.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, If a calculator is sold for R120.00.
Now, The original selling price is increased by a ratio 5 : 3, which can also be written as 5/3.
Therefore, The new selling price of the calculator will be,
= (5/3)×12000.
= 5×4000.
= 20000.
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please solve this root under x-2=cube root under 125
Step-by-step explanation:
x-2 = ²√125
x-2 = 22.36
x = 22.36 + 2
x = 24.36.
hope it helps. :/
What would the slope of a line be that is perpendicular to the line 3x + 2y = 67
Type your answer in the box below. Use the / for the fraction bar.
What would the slope of a line be that is perpendicular to the line 3x + 2y = 6?
And why is it right
Answer:
2/3
Step-by-step explanation:
The slope of a line that is perpendicular to another line must be the negative reciprocal of the other line. This means that the slope is flipped (3/2 would be 2/3, or 5 would be 1/5) and that the sign is also changed. If the slope of the other line is positive, then the slope of this line would be negative, and vice-versa.
First, we try to get the variable y by itself, so subtract 3x from that side of the equation and then divide everything by 2. So, it would now be y= -3/2 + 3.
Then, you find the negative reciprocal of 'm', so -3/2 would be change to 2/3
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
• 5 cm and 8 cm 8
• 6 cm and 7 cm
0 7 cm and 2 cm
• 8 cm and 9 cm
sorry I tried to find out the correct answer but because of one mistake I can't remember
The curved part of this figure is a semicircle.
What is the best approximation for the area of this figure?
10.5+7.25π units²
21+7.25π units²
10.5+14.5π units²
21+14.5π units²
Answer:
Step-by-step explanation:
Draw the diameter from point (-1, -5) to point (2, 3).
The triangle has base 3 and height 8.
The diameter of the semicircle is the hypotenuse of the triangle.
The radius is half the diameter.
The total area is the area of the triangle plus the area of the semicircle.
Answer:
A) 10.5+7.25[tex]\pi[/tex]units²
Step-by-step explanation:
This can be divided into a semicircle and a right triangle.
The area of the right triangle is (1/2)(7)(3)= 10.5
the radius of the semicircle is
[tex]d=\sqrt{7^{2} +3^{2} } )=\sqrt{(49+9)} =\sqrt{58}[/tex]
[tex]r=(1/2)(\sqrt{58}[/tex]
[tex]A=(1/2\pi (1/2)(\sqrt{58)^{2} }[/tex]
[tex]A=58\pi /8[/tex]
[tex]A=7.25\pi[/tex]
[tex]---------[/tex]
hope it helps..
have a great day!!
Jayla, Keisha and Melanie are sisters. Keisha is 3 years older than Jayla. Melanie is 3 years older than Keisha. If you add their ages together, you get 42.
1. Write an equation or draw a picture to represent this scenario.
2. How old are the sisters? How do you know?
The inside of a right rectangular prism-shaped tank has a base that is 14 cm by 24 cm and a height of 60 cm. The
tank is filled to its capacity with water, and then 10.92 L of water is removed. How far did the water level drop?
Answer:
9.24l
Step-by-step explanation:
find the volume then change into litres
14*24*60=20160cm3
divide by 1000 to change it in to litres
20.16l
20.16-10.92=9.24l
Tim and Jenna are surveying their classmates about their summer reading. Their questions are given below: Tim: Which author was promoted by the book reading club this month? Jenna: How many books that you read during the summer break would you recommend to your friends? Who wrote a statistical question and why? (1 point)
A. Tim, because there can be only one answer to the question
B. Jenna, because there can be many answers to the question
C. Tim, because there will be variability in the responses collected
D. Jenna, because every student will give the same answer
Answer:
b
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
Whoever gets this corrects gets brainliest!!!
Answer:
i would say true
Step-by-step explanation:
Write an equivalent expression.
−2(7+6g)
Choose the correct answer below.
A.
−2(7+6g)=6g−14
B.
−2(7+6g)=−2−12g
C.
−2(7+6g)=−14+6g
D.
−2(7+6g)=−14−12
please help lol
simplify
25x-16y-25x+16y
Answer:
Step-by-step explanation:
25x-16y-25x+16y
-16y and 16y cancels out
25x-25x
25x and -25x cancels out too
This means the answer is 0
If the children were to share the juice equally, how much would each child get? Show your work.
Answer:
you are missing part of the question
Step-by-step explanation:
A traffic consultant wants to estimate the true proportion of cars on a certain street that have more than two occupants. She stands at the side of the road for two hours on a weekday afternoon and flips a coin each time a car approaches. If the coin comes up heads, she counts the number of occupants in the car. After two hours, she has counted 103 cars, 15 of which had more than two occupants. Which condition for constructing a confidence interval for a proportion has she failed to satisfy
Answer:
The data is a simple random sample from the population of interest.
Step-by-step explanation:
Conditions necessary to consider when constructing a confidence interval include using a large sample size, which should be greater Than or equal to 30 for n and a sample proportion of np ≤ 10. Importantly the sample must be a random sample drawn from the population, meaning that all the population of interest must have equal chances of being a part of the sample data. However, the scenariomabiveb, violates this condition as the sampling design is not completely randomized. Those who do not ply the route on that certain day have no Chaves of being part of the sample.
a sample of radioactive isotope had an initial mass of 800 mg in the year 2000 and decays exponentially better over time. a measurement in the year 2005 found that the sample’s mass had decayed to 190 mg. what would be the expected mass of the sample in the year 2009, to the nearest whole number?
Answer:
The expected mass of the sample in the year 2009 is approximately 60 miligrams.
Step-by-step explanation:
The mass of radioactive isotopes decays exponentially in time, the equation that represents this phenomenon is presented below:
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)
Where:
[tex]m(t)[/tex] - Current mass of the radioactive isotope, in miligrams.
[tex]m_{o}[/tex] - Initial mass of the radioactive isotope, in miligrams.
[tex]t[/tex] - Time, in years.
[tex]\tau[/tex] - Time constant, in years.
First, we must find the time constant associated to the decay of the radioactive isotope by clearing the respective term in (1):
[tex]-\frac{t}{\tau} = \ln \frac{m(t)}{m_{o}}[/tex]
[tex]\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }[/tex]
If we know that [tex]t = 5\,y[/tex], [tex]m(t) = 190\,mg[/tex] and [tex]m_{o} = 800\,mg[/tex], then the time constant is:
[tex]\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }[/tex]
[tex]\tau = -\frac{5\,y}{\ln \frac{190\,mg}{800\,mg} }[/tex]
[tex]\tau \approx 3.478\,y[/tex]
Now, we calculate the mass of the radioactive isotope in 2009 ([tex]t = 9\,y[/tex]). If we know that [tex]t = 9\,y[/tex], [tex]\tau \approx 3.478\,y[/tex] and [tex]m_{o} = 800\,mg[/tex], then the mass of the radioactive isotope is:
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex]
[tex]m(9\,y) = (800\,mg)\cdot e^{-\frac{9\,y}{3.478\,y} }[/tex]
[tex]m(9\,y) \approx 60.155\,mg[/tex]
The expected mass of the sample in the year 2009 is approximately 60 miligrams.
In order to determine the average price of hotel rooms in Atlanta, a sample of 63 hotels were selected. It was determined that the test statistic (z) was $-1.53. We would like to test whether or not the average room price is significantly different from $110. Population standard deviation is known to us. Compute the p-value.
Answer:
Pvalue = 0.063008
Step-by-step explanation:
Given :
Sample size, n = 63
The test statistic = - 1.53
To test if average room price is significantly different from $110 ; μ = $110
H0 : μ = 110
H1 : μ < 110
From the test statistic value obtained, we could see that the test is left tailed
The Pvalue :
P(Z < - 1.53) = 0.063008
If the claim is to be tested at 5% level of confidence then
Pvalue > 0.05 ; Hence, we fail to reject the. NULL. Hence, average price is not significantly different from $110
A box of 12 tacos costs $9.96. At this rate, how much does one taco cost?
Answer:
0.83
9.96 divided by 12 is that
20 points! Please help me out here!
A cruise ship can cover 17 nautical miles in 391 minutes. How many nautical miles will it travel in 230 minutes?
A. 10
B. 12
C. 14
D. 8
Part A
Juanita has an aquarium that is 5 feet long, 4 feet wide, and 2 feet deep.
What is the volume of the aquarium? Enter your answer in the box.
_______ft3
Part B
Juanita fills the tank with water so that it is 1 foot deep. What is the volume of the water?
_______ft3
Answer:
Part A: 40 cubic feet. Part B: 20 cubic feet
Step-by-step explanation:
Part A: 5×4×2 = 40 feet3
Part B: 5×4×1 = 20 feet3
The number of students at a particular school who have the flu is increasing at a rate of 12% per day. If at the beginning of monday there were 56 students with the flu, then which of the following is closest to the number of students who have the flu on friday morning?
Answer:
88
Step-by-step explanation:
MATH
The number of students who have the flu on Friday morning will be;
⇒ 83
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The number of students at a particular school who have the flu is increasing at a rate of 12% per day.
At the beginning of Monday there were 56 students with the flu,
Now,
Since, The number of students at a particular school who have the flu is increasing at a rate of 12% per day.
Hence, The percent of increasing rate on Friday morning = 4 x 12%
= 48%
Thus, The number of students who have the flu on Friday morning is,
⇒ 56 + 48% of 56
⇒ 56 + 48 × 56 / 100
⇒ 56 + 26.88
⇒ 82.88
Thus, The number of students who have the flu on Friday morning will be;
⇒ 83
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Find the area of the following shapes
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
An employee compiled sales data for a company once each
month. The scatter plot below shows the sales (in multiples of
$1000) for the company over time (in months). The equation
represents the linear model for this data.
50
45
40
Sales ($1000)
35
30
y = 0.94x + 12.5
25+
20+
++
15
10
According to the model, what will the company's sales be after
40 months?
5
o
Answer:
well if you think about it the answer you see is in the points
Step-by-step explanation:
and the data comes from the scatterplot so try to see it and remember to chose b or c ok
10,20,40,80... find the common ratio for the geometric sequence
Answer:
2
Step-by-step explanation:
So the common ratio is simply what a number can be multiplyied by. To find this, all we have to do is see how many times one number goes into the one after it.
So lets take the 20(2nd number), lets divide it by 10(1st number). What do we get when we divide the numbers? We get 2. since 10 goes into 20, 2 times.
Lets see if the common ratio 2 checks out for the other numbers. What is 80(4th number) divided by 40(3rd number)? Well again, thats 2. Since 40 goes into 80, 2 times.
So, we can conclude that the answer is 2.
Answer:
I think the common ratio is 20
Step-by-step explanation:
Each number is 20 times the previous number, so the Common Ratio would have to be 10
Which sets of shapes can be used as the net of a three-dimensional figure? Select two options.
m 1 hexagon and 6 rectangles
2 pentagons and 5 triangles
6 rectangles, none of which are squares
4 squares and two rectangles that are not squares
4 triangles, only 3 of which are congruent triangles
Answer:
Step-by-step explanation:
6 rectangles.
2 act as the top and bottom
The other 4 are all the same height The length of 2 of the other 4 are the same as the length of the top and bottom.The width of 2 of the other 4 are the same as the width of the top and bottom.The height must be the same for all 4 of the rectangles.Answer:
C and D
..............................
Step-by-step explanation:
correct
I answered the question 3x-y=5 but is there a different way to answer this?
My answer:
I switched the y with the 3x
3x=y+5
Then I subtracted by 5
y=3x-5
Step-by-step explanation:
Hi,
I agree with what you did. You could also add y on both sides and get 3x = y + 5 and then divided by three to get...
x = 5 + y /3
(the 5 and y are being divided by 3)
But that's just complicated, it works, but it's complicated. What you did is correct and what I gave you is the value of x, but I'm 100 percent sure yours is correct.
Hope this helps
Answer and Step-by-step explanation:
Yes (technically), there is a different way to answer the equation 3x - y = 5. But, the first part of how you described it is a bit off.
Here is how you would explain it:
What you would do is Add y to both sides, then subtract 5 from both sides.
3x = y + 5
3x - 5 = y (aka y = 3x - 5)
The other way to solve:
3x - y = 5
Subtract 3x from both sides.
-y = -3x + 5
Now divide both sides by -1.
-1(-y) = -1(-3x + 5)
y = 3x - 5
If you want to solve for x, you would:
Add y to both sides of the equation.
3x = 5 + y
Then divide each side by 3.
x = [tex]\frac{1}{3}y[/tex] + [tex]\frac{5}{3}[/tex]
#teamtrees #PAW (Plant And Water)
10) On Tuesday Imani bought eight hats. On
Wednesday half of all the hats that she had
were destroyed. On Thursday there were
only 21 left. How many did she have on
Monday?
Find the measure of angle B
please help 100 points to whoever gets it right
Answer:
i think its D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the product of their ages is 675.
write down the equations connecting their ages and solve the equations in order to find the ages of the woman and her son. WAEC
Step-by-step explanation:
Given
[tex]q + p = 2(q - p)[/tex]
as equation 1.
I used q-p as the difference as logically the woman will be older than her son.
Also given,
[tex]qp = 675[/tex]
as equation 2.
Using equation 2,
[tex]q = \frac{675}{p} [/tex]
substitute this equation into equation 1.
[tex] \frac{675}{p} + p = 2( \frac{675}{p} - p) \\ \frac{675}{p} + p = \frac{1350}{p} - 2p \\ \frac{675}{p} - \frac{1350}{p} = - 2p - p \\ - 3p = - \frac{675}{p} \\ - 3p \times p = - 675 \\ - 3 {p}^{2} = - 675 \\ {p}^{2} = - 675 \div - 3 \\ {p}^{2} = 225 \\ p = \sqrt{225} \\ = 15[/tex]
Substitute P into equation 2.
[tex]15q = 675 \\ q = 675 \div 15 \\ = 45[/tex]
Therefore the woman is 45 years old while her son is 15 years old.
Find the volume of the square pyramid.
Answer:
243 ft³
Step-by-step explanation:
V = [tex]\frac{1}{3}[/tex]Bh
A = 9 x 9 = 81
81 x 9 = 729
729 / 3 = 243
When you see [tex]\frac{1}{3}[/tex] in a math formula, it means to divide by 3.
For example, when you are trying to find the volume of a pyramid or cone you will see [tex]\frac{1}{3}[/tex] in the formula.
Let me know if this helps!
Answer:
729 ft³
Step-by-step explanation:
I found this answer by something I learned. All you have to do is multiply the 3 numbers of the square pyramid.
9 x 9 x 9 = 729 ft³