Can someone help me making sure if my answers is right. Just need lil help. Thanks.
A person who weighs 240 pounds burns 180 calories per mile of running. If a person burns thirty-six calories by running one mile, how much does the person weigh?
Answer: 48 pounds
Step-by-step explanation:
Given: A person who weighs 240 pounds burns 180 calories per mile of running.
There is a direct relation ship between the weight of the person and the calories burn.
If a person burns thirty-six calories by running one mile.
Let x be the weight of the person then
[tex]\frac{x}{36}=\frac{240}{180}\\\Rightarrow\ x=\frac{240\times36}{180}\\\Rightarrow\ x=48[/tex]
The weight of the person is 48 pounds.
Factor completely.
40t−16
Enter your answer in the boxes.
The expression 40t - 16 is factored completely by first identifying the greatest common factor, which is 8, then factoring it out to get the result 8(5t - 2).
To factor the expression 40t - 16 completely, we need to find the greatest common factor (GCF) of the terms. The GCF of 40t and 16 is 8. Therefore, we can factor out 8 from both terms:
40t - 16 = 8(5t) - 8(2) = 8(5t - 2)
So, the completely factored form of the expression 40t - 16 is 8(5t - 2).
if 2x+5= 12 for some value of x, then what does 6x+20 equal???
A set of cards contains the numbers 1 through 20. Mathieu chooses a card a random, records the number of the card, and then returns the card to the set. He conducts 200 trials of this event. Based on the theoretical probability, how many times can Mathieu expect to choose a multiple of 5?
Answer: There are 40 times that Mathieu can expect to choose a multiple of 5.
Step-by-step explanation:
Since we have given that
Numbers between 1 to 20 = 20
Numbers which are divisible by 5 = 4
i.e. {5,10,15,20}
So, Probability that getting a number divisible by 5 is given by
[tex]\dfrac{4}{20}=\dfrac{1}{5}[/tex]
If the number of trials = 200
Then, Number of times Mathieu expect to choose a multiple of 5 is given by
[tex]\dfrac{1}{5}\times 200\\\\=40[/tex]
Hence, there are 40 times that Mathieu can expect to choose a multiple of 5.
can someone help me to pose a word problem... the answer is in the picture
right below
The angle of elevation from a sailboat to the top of a 121-foot lighthouse on the shore measures 16 degree. How far is the sailboat from the lighthouse to the nearest foot?
Answer:
Step-by-step explanation:
a tank contains 8000 liters of water. each day, half of the water in the tank is removed. how much water will be in the tank at the end of:
a. the 4th day?
b. the 8th day?
On first day the tank had 8000 liters of water.
Half is removed so half of 8000 is 4000.
Subtracting 8000-4000 =4000
So at the end of first day 4000 liters of water is there.
Water in the tank at the end of second day:
Again half of 4000 is removed.
half of 4000 is 2000.
subtracting 4000-2000 =2000.
At the end of second day 2000 l of water is present in tank.
At the end of third day:
Again half of 2000 is removed.
half of 2000 is 1000.
subtracting 2000-1000 =1000.
At the end of third day 1000 l of water is present in tank.
At the end of fourth day:
Again half of 1000 is removed.
half of 1000 is 500.
subtracting 1000-500 =500.
At the end of fourth day 500 l of water is present in tank.
At the end of fifth day:
Again half of 500 is removed.
half of 500 is 250.
subtracting 500-250=250.
At the end of fifth day 250 l of water is present in tank.
At the end of sixth day:
Again half of 250 is removed.
half of 250 is 125.
subtracting 250 - 125 =125.
At the end of sixth day 125 l of water is present in tank.
At the end of seventh day:
Again half of 125 is removed.
half of 125 is 62.5.
subtracting 125-62.5 =62.5.
At the end of seventh day 62.5 l of water is present in tank.
At the end of eighth day:
Again half of 62.5 is removed.
half of 62.5 is 31.25
subtracting 62.5 - 31.25 =31.25.
At the end of eighth day 31.25 l of water is present in tank.
can someone help me solve this
A highway speed monitor is located on the side of the road that has a speed limit of 45 mph. The system records the speeds of passing vehicles. The data below shows the speeds of the first 9 cars that pass. 46 56 45 44 45 61 55 53 39 What is the standard deviation, to the nearest tenth, based on the posted speed limit, 45 mph? a0 The tenth car traveling on this road breaks down and is being pushed by its owners as it passes the speed monitor. A speed of 1.5 mph is recorded. The measure of central tendency most affected by this tenth speed is the a1 What is the new standard deviation, to the nearest tenth, after the tenth speed is recorded? a2
Answer:
a0 - 8.0
a1 - mean
a2 - 15.7
The measure of an angle is 41 degrees. What is the measure of a complementary-angle?
What is the value of x?
Choose the best description for the real number 34 over 3.
Irrational, because it is a fraction
Irrational, because it is a repeating decimal
Rational, because it is a fraction
Rational, because it is a terminating decimal
Answer: The correct option is
(C) Rational, because it is a fraction.
Step-by-step explanation: We are given to choose the best description for the real number 34 over 3.
The given real number can be written as :
[tex]f=\dfrac{34}{3}.[/tex]
We know that
a number of the form [tex]\dfrac{p}{q},~q\neq 0[/tex] is a rational number. That is, a fraction with non zero denominator is a rational number.
Since the given number can be written as a fraction, so it is a rational number.
Thus, option (C) is CORRECT.
Answer:
c
Step-by-step explanation:
please help fast!! what is the surface area??
round 1.496 to the place value of the underlined digit (in this case, 9)
a. 1.4
b. 1.49
c. 1.5
d. 1.497
Arnold has been given a 6 foot by 6 foot sheet of cardboard to make an open box by cutting an equal size square from each corner, folding up the resulting flaps, and taping at the corners. Your task is to label dimensions on a sketch with same size variable cut from each corner.
Part II: How does each variable expression relate to the length, width, and height of the box when folded?
What percent of the people chose turkey or ham as their favorite sandwich? A. 6% B. 50% C. 28% D. 62%
A field has a length of 50.5 meters, and a width of 9.2 meters. What is the perimeter and the area of the field?
You are working as an apprentice for the bksb Newcastle Arena.
An indoor sport exhibition is coming to the arena. Your supervisor has asked you to help set up a handball pitch and seating area as shown in the plan view below..
Use the following formulae:
Perimeter of a rectangle = 2l + 2w
Circumference of a circle = πd
π = 3.14
Area of a rectangle = lw
Area of a circle = πr²
What is the total perimeter of the pitch and seating area?
m
What is the total area of the pitch and seating area?
m2
During the month of June, Ava kept track of the number of days she saw birds in her garden.she saw birds on 18 days of the month. what is the experimental probability that she will see birds in her garden on july 1?
If the dimensions of the rectangle are doubled what is the area of the new rectangle.
double x + 3= 2x + 6. double four is 8. 8 * 2x + 6 = 16x + 48
HELLLLLLPPPPPPPPPP.......... i asked some friends for help and they didn't really understand it.... And my teachers are confusing me as well...
i also need help with this question
<1 and <2 are complementary angles. m <1=52 what is the measurement id <2?
I need answer ASAP!
ASAP
The Choir Booster Club had a budget of $1,300.00 at the start of the school year. They spend $225.30 on t-shirts, $482.25 on lost uniforms, and $135.68 on a holiday party. How much does the booster club have left in their budget?
A. $1,543.23
B. $1,074.70
C. $543.27
D. $456.77
Final answer:
After calculating the expenses, the Choir Booster Club has D. $456.77 left in their budget. This is determined by subtracting the costs of t-shirts, lost uniforms, and the holiday party from their starting budget of $1,300.00.
Explanation:
The Choir Booster Club started the year with a budget of $1,300.00 and spent money on various items. To calculate how much of the budget remains, we need to subtract the costs of the t-shirts, lost uniforms, and the holiday party from the starting budget:
Starting budget: $1,300.00Cost of t-shirts: $225.30Cost of lost uniforms: $482.25Cost of holiday party: $135.68Now, subtract the total expenditures from the starting budget:
$1,300.00 - $225.30 - $482.25 - $135.68 = $456.77 remaining
Therefore, the correct answer is: D. $456.77
1. (08.02)A pair of equations is shown below.
x + y = 5
y = one halfx + 2
If the two equations are graphed, at what point do the lines representing the two equations intersect?
A. (2,5)
B. (5, 2)
C. (2, 3)
D. (3, 2)
Answer:
(2,3)
Step-by-step explanation:
Given : [tex]x + y = 5[/tex]
[tex]y=\frac{x}{2}+2[/tex]
To find: what point do the lines representing the two equations intersect
Solution:
[tex]x + y = 5[/tex]
[tex]y=\frac{x}{2}+2[/tex]
Plot the lines on the graph
Green line denotes [tex]x + y = 5[/tex]
Purple line denotes [tex]y=\frac{x}{2}+2[/tex]
So, Intersection point = (2,3)
Refer the attached figure
So, option C is true
Hence Intersection point is (2,3)
What is the area of the composite figure? (6π + 4) cm2 (6π + 16) cm2 (12π + 4) cm2 (12π + 16) cm2
Tina's favorite shade of teal is made with 7 ounces of blue paint for every 5 ounces of green paint. Tyler's favorite shade of teal is made with 5 ounces of blue paint for every 7 ounces of green paint. How does Tina's favorite shade of teal compare to Tyler's favorite shade of teal?
We have been given that Tina's favorite shade of teal is made with 7 ounces of blue paint for every 5 ounces of green paint and Tyler's favorite shade of teal is made with 5 ounces of blue paint for every 7 ounces of green paint.
We can express the ratio of blue paint to green paint for both Tina as well as Tyler's favorite shades of teal as shown below.
For Tina: [tex]\frac{7}{5}[/tex]
For Tyler: [tex]\frac{5}{7}[/tex]
In order to compare the two ratios, we will have to make the denominators equal. Let us make denominators equal for both these ratios.
For Tina: [tex]\frac{7\cdot7}{5\cdot7}=\frac{49}{35}[/tex]
For Tyler: [tex]\frac{5\cdot5}{7\cdot5}=\frac{25}{35}[/tex]
Therefore, we can see that for equal amount of Green paint, Tina's favorite shade of teal contains [tex]\frac{49}{25}[/tex] times, that is almost twice the Blue paint that Tyler's favorite shade of teal contains.
Tina's favorite shade is more blue than Tyler's
I was hoping for help on this question
angka 9,2,4, dan5 akan disusun menjadi dua bilangan berbeda. bilangan pertama disusun dari keempat angka dengan sussunan dari angka terbesar ke angka terkecil. bilangan kedua disusun dari empat angka dengan suaunan dari angka terkecil ke angka tebesar dengan terkecil yang dihasilkan adalah