Answer:
14,200 pounds.
1. Convert the mixed fraction into improper fraction:
To convert a mixed fraction into an improper fraction, we must multiply the whole number with the denominator and add the numerator to the product. The denominator of the improper fraction will remain the same as the denominator in the mixed fraction.
[tex]\implies 7 \dfrac{1}{10} = \dfrac{(7 \times 10) + 1}{10} = \dfrac{71}{10}[/tex]
2. Determine the number of pounds in 71/10 tons
It should be noted that:
Conversion: 1 ton = 2000 poundsNow, let's use the unitary method to determine the amount of pounds in 71/10 tons. Multiply both sides by 71/10 to do so.
[tex]\implies \text{1 ton = 2000 pounds}[/tex]
[tex]\implies \text{1 ton} \times \dfrac{71}{10} = 2000 \times \dfrac{71}{10}[/tex]
[tex]\implies \dfrac{71}{10}\text{ ton} = 200 \times 71[/tex]
Simplify as needed:
[tex]\implies \dfrac{71}{10}\text{ ton} = 14,200 \ \text{pounds}[/tex]
solve for y=3x-7
please please please please please please
Answer:
Answer and Explanation: The x-intercept of y = 3x - 7 is at x = 7/3, and the y-intercept of y = 3x - 7 is at y = -7.
Find the area of a circle with a
radius of 15 inches. Use the pi
button and round to the nearest
tenth of a square inch.
Answer:
A=pir²
Step-by-step explanation:
pi=3.14
r=15
r²=15²=225
A=225× 3.14= 706.5
At a restaurant, 42 people had breakfast on Saturday morning.
1/7• of the people ate eggs only.
2/3 • of the people ate both pancakes and eggs.
• The remaining people ate pancakes only.
Which fraction represents the number of people who ate pancakes only?
Answer:
17/21
Step-by-step explanation:
The amount of people that ate eggs only are:
42* 1/7 = 6
The amount of people that ate both pancakes and eggs are:
42 * 2/3 = 28
That means 34 people ate pancakes only.
The fraction that represents this is 34/42 = 17/21
Describe fully the single transformation that takes shape P to shape Q
I cant get the last mark
Answer:
dilation by a factor of 3 about (1, 0)
Step-by-step explanation:
You have correctly surmised that Q is a dilation of P by a factor of 3. The center of dilation is not the origin, so the trick is to figure out where it is.
__
An original point and its dilated image are always on the same line through the center of dilation. Here, that center can be found by drawing lines through the corresponding vertices. The attachment shows the center of dilation is (1, 0) on the x-axis.
The single transformation is ...
dilation by a factor of 3 about the point (1, 0).
__
Additional comment
You can check this by seeing that each image point is 3 times as far from this center as the corresponding original point.
Can yall help me with this? Thanks!
Answer:
3π
Step-by-step explanation:
The arc length is just a fraction of the circumference of the circle which we know is represented by the equation L=2πr.
The radius is given ad 6. So the circumference is:
2*π*6=12π
Now, since the angle of the arc is 90°, this is 1/4 of the circle.
This means that the arc length of this section will be 1/4th of the total circumference which is:
12π/4=3π
Verify the property p × q = q × p of the rational numbers using p =5/28 and q=49/35
The commutative property of multiplication is verified for the case when p =5/28 and q=49/35 because we get p × q = 0.25 = q × p
What is the difference between verification and proof?Proof usually is generalized, ie, it applies for all possible cases of the given condition, or a large set of cases. But vertification is a check for single special case.
For this case, we've to verify that p × q = q × p when p =5/28 and q=49/35
For p =5/28 and q=49/35 we get:
[tex]p \times q = \dfrac{5}{28} \times \dfrac{49}{35} = \dfrac{5 \times 49}{28 \times 35}\\\\\\p \times q = \dfrac{245}{980} = 0.25[/tex]
Also, we get:
[tex]p \times q =\dfrac{49}{35} \times \dfrac{5}{28} = \dfrac{49 \times 5}{35 \times 28}\\\\\\p \times q = \dfrac{245}{980} = 0.25[/tex]
Thus, we get: p × q = 0.25 = q × p
Hence, verified.
Thus, the commutative property of multiplication is verified for the case when p =5/28 and q=49/35 because we get p × q = 0.25 = q × p
Learn more about commutative property of multiplication here:
https://brainly.com/question/778086
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Would 2+6x^2-2x be monomial, binomial or trinomial?
Answer:
Trinomial
Step-by-step explanation:
Because it has 3 terms.
what are the first 800 numbers of PI
Answer:
3 . 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0 2 8 8 4 1 9 7 1 6 9 3 9 9 3 7 5 1 0 5 8 2 0 9 7 4 9 4 4 5 9 2 3 0 7 8 1 6 4 0 6 2 8 6 2 0 8 9 9 8 6 2 8 0 3 4 8 2 5 3 4 2 1 1 7 0 6 7 9 8 2 1 4 8 0 8 6 5 1 3 2 8 2 3 0 6 6 4 7 0 9 3 8 4 4 6 0 9 5 5 0 5 8 2 2 3 1 7 2 5 3 5 9 4 0 8 1 2 8 4 8 1 1 1 7 4 5 0 2 8 4 1 0 2 7 0 1 9 3 8 5 2 1 1 0 5 5 5 9 6 4 4 6 2 2 9 4 8 9 5 4 9 3 0 3 8 1 9 6 4 4 2 8 8 1 0 9 7 5 6 6 5 9 3 3 4 4 6 1 2 8 4 7 5 6 4 8 2 3 3 7 8 6 7 8 3 1 6 5 2 7 1 2 0 1 9 0 9 1 4 5 6 4 8 5 6 6 9 2 3 4 6 0 3 4 8 6 1 0 4 5 4 3 2 6 6 4 8 2 1 3 3 9 3 6 0 7 2 6 0 2 4 9 1 4 1 2 7 3 7 2 4 5 8 7 0 0 6 6 0 6 3 1 5 5 8 8 1 7 4 8 8 1 5 2 0 9 2 0 9 6 2 8 2 9 2 5 4 0 9 1 7 1 5 3 6 4 3 6 7 8 9 2 5 9 0 3 6 0 0 1 1 3 3 0 5 3 0 5 4 8 8 2 0 4 6 6 5 2 1 3 8 4 1 4 6 9 5 1 9 4 1 5 1 1 6 0 9 4 3 3 0 5 7 2 7 0 3 6 5 7 5 9 5 9 1 9 5 3 0 9 2 1 8 6 1 1 7 3 8 1 9 3 2 6 1 1 7 9 3 1 0 5 1 1 8 5 4 8 0 7 4 4 6 2 3 7 9 9 6 2 7 4 9 5 6 7 3 5 1 8 8 5 7 5 2 7 2 4 8 9 1 2 2 7 9 3 8 1 8 3 0 1 1 9 4 9 1 2 9 8 3 3 6 7 3 3 6 2 4 4 0 6 5 6 6 4 3 0 8 6 0 2 1 3 9 4 9 4 6 3 9 5 2 2 4 7 3 7 1 9 0 7 0 2 1 7 9 8 6 0 9 4 3 7 0 2 7 7 0 5 3 9 2 1 7 1 7 6 2 9 3 1 7 6 7 5 2 3 8 4 6 7 4 8 1 8 4 6 7 6 6 9 4 0 5 1 3 2 0 0 0 5 6 8 1 2 7 1 4 5 2 6 3 5 6 0 8 2 7 7 8 5 7 7 1 3 4 2 7 5 7 7 8 9 6 0 9 1 7 3 6 3 7 1 7 8 7 2 1 4 6 8 4 4 0 9 0 1 2 2 4 9 5 3 4 3 0 1 4 6 5 4 9 5 8 5 3 7 1 0 5 0 7 9 2 2 7 9 6 8 9 2 5 8 9 2 3 5 4 2 0 1 9 9 5 6 1 1 2 1 2 9 0 2 1 9 6 0 8 6 4 0 3 4 4 1 8 1 5 9 8 1 3 6 2 9 7 7 4 7 7 1 3 0 9 9 6 0 5 1 8 7 0 7 2 1 1 3 4 9 9 9 9 9 9 8 3 7 2 9 7 8 0 4 9 9 5 1 0 5 9 7 3 1 7 3 2 8 1 6 0 9 6 3 1 8 5 9
Your welcome
Help me pleaseeee. I keep trying but I keep getting it wrong.
Answer :- I think 0 is the answer.
HELP
You deposit $600 in a savings account. The account earns 10% simple interest per year.
a. What is the interest earned after 10 years?
The interest earned is $ after 10 years.
b. What is the balance after 10 years?
The balance is $
after 10 years.
HERE ILL ADD A PHOTO IF IT DOSNT MAKE SENSE
Answer:
a = 600
b = 1200
Step-by-step explanation:
a =,
600 = 100%
60 = 10%
with simple interest you add the original ten percent each time so,
600+60+60+60+60+60 etc....
or
you could do 600 x 1.1¹⁰
they both work the same
b = 600 + (ans of a)
NEED HELP fast with this 100 points
I did not do PSSAS
Answer:
5.5) 5
6.0) 6
6.5) 7
7.0) 3
Step-by-step explanation:
Hope this helps and if it does PLS! give me brainiliest. PLS!
there are ten names in a hat. how many ways are there to draw three names for first, second and third prizes from the hat, assuming each person can win only one prize
Answer:
720 ways
Step-by-step explanation:
10 P 3
or 10 * 9 * 8 = 720 ways
Netflix is considering a new romcom (romantic comedy) series. Before making a final decision, the producers design an experiment to estimate the proportion of viewers who would watch the series. A random sample of 1,040 viewers was selected and asked to watch the first two episodes. After viewing the episodes, 650 viewers indicated they would watch the new series. (Use t Distribution Table & z Distribution Table. ) (Round your answers to 3 decimal places. )
Required:
a. Estimate the value of the population proportion of people who would watch the new series.
b. Develop a 99% confidence interval for the population proportion of people who would watch the new series.
Using the z-distribution, as we are working with a proportion, it is found that:
a) The population proportion is of 0.625.
b) The interval is (0.586, 0.664).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The sample size and the population proportion are given, respectively, by:
[tex]n = 1040, \pi = \frac{650}{1040} = 0.625[/tex]
Hence, the bounds of the interval are given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.625 - 2.575\sqrt{\frac{0.625(0.375)}{1040}} = 0.586[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.625 + 2.575\sqrt{\frac{0.625(0.375)}{1040}} = 0.664[/tex]
More can be learned about the z-distribution at https://brainly.com/question/25890103
According to the line of best fit, what is the minimum amount, to the nearest dollar, melinda will earn for each day of work, even if she serves no customers? $18 $26 $36 $40
The minimum amount to the nearest dollar according to the line of best fit from the graph is $26 because as y = $26, x = 0.
What is the line of best fit?The line of best fit is a line that runs across a scatter plot of data points and best reflects the connection between them.
Let's make an assumption from the image below that;
x = the total amount($) of her customers’ bills and;y = her total daily wages.We know that x = 0 at the y-intercept;
Thus, the minimum amount to the nearest dollar according to the line of best fit from the graph is $26 because as y = $26, x = 0.
Learn more about the line of best fit here:
https://brainly.com/question/21241382
Answer:
B
Step-by-step explanation:
2023
Which of the following is true regarding the solution to the logarithmic equation below? log subscript 2 baseline (x 11) = 4. x 11 = 2 superscript 4. x 11 = 16. x = 5.
The value of x is 5. Thus, the correct statement is:
x = 5 is a true solution because log subscript 2 Baseline (16) = 4
Data obtained from the question Log₂ (x + 11) = 4Value of x =? How to determine the value of xLog₂ (x + 11) = 4
x + 11 = 2⁴
x + 11 = 16
Collect like terms
x = 16 – 11
x = 5
**Check**Log₂ (x + 11) = 4
x = 5
Log₂ (5 + 11) = 4
Log₂ 16 = 4
Find the value of Log₂ 16
Log₂ 16 = n
16 = 2ⁿ
2⁴ = 2ⁿ
n = 4
Thus,
Log₂ 16 = 4
Therefore, the correct answer to the question is:
x = 5 is a true solution because log subscript 2 Baseline (16) = 4
Complete question
Which of the following is true regarding the solution to the logarithmic equation below? log Subscript 2 Baseline (x + 11) = 4. x + 11 = 2 Superscript 4. x + 11 = 16. x = 5. x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 2 x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 4 x = 5 is a true solution because log Subscript 2 Baseline (16) = 4 x = 5 is a true solution because log Subscript 4 Baseline (16) = 2
Learn more about Logarithm equation:
https://brainly.com/question/7302008
Answer:
C, x = 5 is a true solution because log Subscript 2 Baseline (16) = 4
Step-by-step explanation:
edge
A hospital needs 80 liters of a 12% solution of disinfectant. This solution is to be prepared from a 33% solution and a 5% solution. How many liters of each should be mixed to obtain this 12% solution? There are different ways to solve this problem, but using a system of equations is the simplest way
Answer: 20 L of 33% solution and 60 L of 5% solution should be mixed
Step-by-step explanation:
0.33x + 0.05(80-x) = 0.12*80
0.33x + 4-0.05x = 9.6
0.33x - 0.05x = 9.6-4
0.28x = 5.6
x = 5.6/0.28
x = 20 L of 33% solution should be used
80-20 = 60 L of 5% solution should be used
Proof:
0.33*20 + 0.05*60 = 0.12*80
6.6 + 3 = 9.6
9.6 = 9.6
Please help ASAP!!! Thank you!
Answer:
It seems that you are correct :)
Step-by-step explanation:
Answer number 8 please thank you
how do you round 81.59 to the nearest whole number?
Answer:
The number (81.59) will round to 82.
Step-by-step explanation:
First, let us understand what the question means by "whole numbers".
What are whole numbers?Whole numbers are such integers that are positive. (Except 0, which is a non-positive and non-negative integer).
Whole numbers: 0, 1, 2, 3, 4, 5, 6....
If the number before the decimal is smaller than 50, then the number will round down. If the number before the decimal is greater than or equal to 50, then the number will round up.
We can see that 81.59 is between two integers (81 and 82). Therefore, 81.59 can either round down to 81 or round up to 82.
Since the number after the decimal (81.59) is greater than 50, the number rounds up to 82. Therefore, the number (81.59) will round to 82.
Learn more about whole numbers: https://brainly.com/question/17654101
Gabriel wants to know which pizzeria is most popular with students at his school. Which group of students should Gabriel survey in order to get the most accurate results?
A. All the boys in the cafeteria
B. All the students on his soccer team
C. Every 5th person entering the school
D. Every 5th person entering Daniella's Pizzeria
C, every 5th student entering the school.
This would provide the least biased answer by the chances, it would not be skewed as my boy Gabe is asking random people that are spread out rather than simply everyone on his soccer team (if there is a connection between enjoying pizza and playing soccer) or asking everyone in the cafeteria, as similar people may sit together. It’s all in the chances.
Question:
Gabriel wants to know which pizzeria is most popular with students at his school. Which group of students should Gabriel survey in order to get the most accurate results?
Answer:
C. Every 5th person entering the school.
Step-by-step explanation:
A. All the boys in the cafeteria. This is incorrect because they would only add up to 1. The boys. And 2. Only the boys inside of the cafeteria. So that not even counting the ones that are still in the classrooms or in the bathrooms. so therefore A is incorrect.
B. All the students on his soccer team. This would not add up to much because lets say there are 10 players on his soccer team and over 100 people in his school, that would only make up 10% of his whole school, so obviously, B. Is also incorrect.
D. Every 5th person entering Daniella's Pizzeria. This is incorrect also because Gabriel wants to know which pizzeria is most popular in his school, this answer does not say anything about his school, it only says which pizzeria and how many people. In answer D. It says Every 5th person entering Daniella's Pizzeria. This answer already says which pizzeria he would be going to so that part is already proof that D is incorrect.
C. Every 5th person entering the school. This is correct beause it explains how he would be asking every 5th person entering the school. So lets say most of the people he tallied likes Daniella's Pizzeria the most. There would be a tally poll that I have shown in the picture. (Sorry that its messy I did that on mouse.) and as you see in green it says that more people like Daniella's Pizzeria more than any others. So now Gabriel has his results, so now he knows which pizzeria to go to.
Link for whiteboard from picture: witeboard.com
PLEASE HELP!! URGENT If a fair coin is tossed 4 times, what is the probability, to the nearest thousandth, of getting exactly 3 tails?
Using the binomial distribution, it is found that there is a 0.25 = 25% probability of getting exactly 3 tails.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
A fair coin is equally as likely to result in heards or in tails, hence p = 0.5.The coin is tossed 4 times, hence n = 4.The probability of getting 3 tails is P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]
0.25 = 25% probability of getting exactly 3 tails.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
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7. Andre woke up at 7:18 a.m. and
went to bed at 10:00 p.m. How
long was Andre awake?
Answer:
14 hours and 42 minutes
Step-by-step explanation:
12 hours later is 7:18pm2 hours later is 9:18pm60-18=42 minutes12 hours + 2 hours plus 42 minutes = 14 hours and 42 minutesWhich statement is true?
A. the greatest common factor of 10 and 14 is 5.
B. the greatest common factor of 10 and 15 is 5.
C. the greatest common factor of 13 and 21 is 3.
D. the greatest common factor of 14 and 21 is 3.
Answer:
B. the greatest common factor of 10 and 15 is 5.
Step-by-step explanation:
A. is worg 14 cannot be divided by 5
C. is wrong 13 cannot be divided by 3
D. is wroing 14 cannot be divided by 3
I mean they all can but you won't get the whole numbers only fractions.
Option B
Step-by-step explanation:Let's check each option one by one.
A) The greatest common factor of 10 and 14 is 5.
Write down the factors of 10 and 14.
⇒ Factors of 10: 1, 2, 5, 10
⇒ Factors of 14: 1, 2, 7, 14
We can see here that the GCF is "1" as it is the greatest factor of 10 and 14.
Hence, option A is incorrect.
B) The greatest common factor of 10 and 15 is 5.
Write down the factors of 10 and 15.
⇒ Factors of 10: 1, 2, 5, 10
⇒ Factors of 15: 1, 3, 5, 15
We can see here that the GCF is "5" as it is the greatest factor of 10 and 15.
Hence, option B is correct.
C) The greatest common factor of 13 and 21 is 3.
Write down the factors of 13 and 21.
⇒ Factors of 13: 1 and 13
⇒ Factors of 21: 1, 3, 7, 21
We can see here that the GCF is "1" as it is the greatest factor of 13 and 21.
Hence, option C is incorrect.
D) The greatest common factor of 14 and 21 is 3.
Write down the factors of 14 and 21.
⇒ Factors of 14: 1, 2, 7, 14
⇒ Factors of 21: 1, 3, 7, 21
We can see here that the GCF is "7" as it is the greatest factor of 14 and 21.
Hence, option D is incorrect.
Thus, Option B is correct.
What was the lower quartile of the number of absences?
Answer:
The answer should be 2.
0 is the lowest number and then 2 would be lower quartile, The 4 would be the Median or the middle of all the data 7 is the upper quartile and 10 would be the highest number of absences.
Select all expressions that represent the total area of the large rectangle.
Answer:
a. 5(x + y)
c. 5x + 5y
Step-by-step explanation:
The area = length * width.
hhhhhheeeelllppppppppp
Answer:
x=47.2153
Step-by-step explanation:
basically its just what I've wrote , simple trigo
How to find the surface area of a pyramid with a square base.
hope it really helps.....!!!!
A sheet of plywood costs $10. 75. Production is down which causes the price to rise 25%. What is the new price?
Answer:
The answer should be somewhere around 13.4375
Step-by-step explanation:
Since the price is 10.75 and it wants you to add 25% or a quarter to it. You can divide 10.75 by 4, which is 2.6875 and add it. You will get 13.4375.
PLS HURRY! WILL MARK BRAINLIEST
A banner is made of a square amd a semicircle. The square has side lengths of 26 inches. One side of the square is also the diameter of the semicircle. What is the total area of the banner? Use 3.14 for π.
Answer:
A=941.33 square inches.
Step-by-step explanation:
The total area of the banner is the sum of the areas of the square and the semicircle (half cricle) The side length of the square is 26 inches and the radius of the semicircle is 13 inches (half of the dimeter) so: A=Asquare+Asemicircle A=(s2)+(12)πr2 A=262+12(3.14)(13)2 A=676+265.33
6. A right triangle includes one angle that
measures 30°, What is the measure of
the third angle?
A 30°
C 60°
B 90°
D 130°
Answer:
C, 60 degrees
Step-by-step explanation:
Right Triangle, with a 30 degree angle:
Given degrees:
90 (Right Triangle)
30
90+30 = 120
180-120 = 60
180 Degrees total in a triangle, you simply subtract the measure you have to fidn the third one.
Answer:
The measure of the third angle is 60°.
Step-by-step explanation:
We are given a right triangle that has a 90 degree and two other angles that are unknown.
Since one known angle is 90° and another angle given is 30° then the third angle must be 60°. All triangles must add up to 180°.
180° - 90° - 30° = 60°.
Here is an image of the demonstration/explaining types of triangles.