Answer: 23.2 miles per hour
Step-by-step explanation:
He ran 100 meters in 9.63 seconds.
First convert the number of meters he ran to miles:
= 100 * 3.28
= 328 feet
= 328/5,280
= 0.062121212 miles
Convert the seconds to hours:
= 9.63 / 60
= 0.1605 minutes
= 0.1605/60
= 0.002675 hours
Speed in miles per hour is:
= 0.062121212 / 0.002675
= 23.22
= 23.2 miles per hour
Factor the expression completely.
Answer:
Factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]
Step-by-step explanation:
We need to factor the expression [tex]xy^4+x^4y^4[/tex] completely
We need to find common terms in the expression.
Looking at the expression, we get [tex]xy^4[/tex] is common in both terms, so we can write:
[tex]xy^4+x^4y^4\\=xy^4(1+x^3)[/tex]
So, taking out the common expression we get: [tex]xy^4(1+x^3)[/tex]
Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:
[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
So, we get:
[tex]xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)[/tex]
Therefor factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]
(4) B is the midpoint of AC, D is the midpoint of CE, find BD.
Answer:
A :10.5 is the answer
Step-by-step explanation:
47 POINTS AND BRAINLIEST PLZ HELP ME
When you load 8 identical chairs into a crate, the total weight is 66 lbs. When you load 11 of those same chairs into the same crate, the total weight is 84 lbs.
How many lbs does the crate weigh?
How much does each chair weigh?
Answer:
each chair weighs 6 lbs and the crate weighs 18 lbs.
Step-by-step explanation:
The solution is: 6 lbs does the crate weigh and, 18 lbs does each chair weigh.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
given that,
When you load 8 identical chairs into a crate, the total weight is 66 lbs. When you load 11 of those same chairs into the same crate, the total weight is 84 lbs.
let, each chair weigh = x
and, the crate weigh = y
so, we get,
the equations as:
8x + y = 66 ....(1)
11x + y = 84 ....(2)
now, solving this two equations,
we get,
subtracting (2) - (1),
3x = 18
or, x = 6
so, we have,
y = 18
Hence, The solution is: 6 lbs does the crate weigh and, 18 lbs does each chair weigh.
To learn more on equation click:
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-7u + 10 + -1 + -3u
PLEASE HELP ME
a factory could produce 84 toy robots in one day. They purchased some new equipment. Now they can produce 105 robots in one day. what is the percent gain?
Answer:
The answer to the question is
25 % increase in production rate
Step-by-step explanation:
To solve the question, we note that
Initial number of products = 84 toy robots per day
Present production rate = 105 robots per day
The percentage increase is given by the increase in production rate divided by the original production rate multiplied by 100
Where increase in production rate = 105 - 84 = 21
Percentage increase = 21/84 ×100 = 25 % increase
m = 3 (4,7)
Wrote the equation of a line using the point slope formula
Answer:
y = 3x - 5
Step-by-step explanation:
Point-slope form: y - y₁ = m(x - x₁)
Substitute the values for the variables.
y - 7 = 3(x - 4)
y - 7 = 3x - 12
y = 3x - 5
Answer:
good luck
Step-by-step explanation: you gonna need it UvU
How many miles can a car travel on 15 gallons of gas if it travels 28 miles on 1 gallon of gas?
A. 43 miles
B. 270 miles
C. 405 miles
D. 420 miles
PLEASE HELP ASAP!! Will give BRAINLIEST if correct answer is given.
Dr. Hammer noticed that the distribution of scores for his psychology class's last unit test was
not normal. In fact, the class results were positively skewed. According to this, which of the
following would be true?
Answer:
The mode and Median would be lower than the mean.
Step-by-step explanation:
The distribution data is positively skewed which means that most of the data would be towards the lower side. In this situation the mean is higher than the mode and median. Dr. Hammer has distribution data which is positively skewed so the mode and median will be lower than the mean.
HELPPPP I NEEED THIS NOWWW
The value of 23 + 42 = ___.
Answer:
65
Step-by-step explanation:
Answer:
2^3 + 4^2 = 24
Step-by-step explanation:
2 times 2 times 2 is 8
4 times 4 is 16
So, 16 + 8 = 24
I hope I helped! Pls mark me brainliest if you can!
Angle EFG has a measure of 133º. Triangle EFG is rotated 180° counterclockwise about point F to create triangle E'F'G'.
what is the measure of angle E’F’G
Answer:[tex]313^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\angle {EFG}=133^{\circ }[/tex]
When rotated 180 degree clockwise gives E'F'G' which measures
[tex]\angle E'F'G'=180^{\circ}+133^{\circ}=313^{\circ}[/tex]
This can be explained by the below-given digram
Rotation is a rigid transformation.
The measure of angle E'F'G' is 133 degrees
Because rotation is a rigid transformation, it does not change the side lengths and the angle measures.
This means that the measure of angle EFG will remain unchanged after rotation.
i.e.
[tex]\mathbf{\angle E'F'G' = \angle EFG}[/tex]
Hence, the measure of angle E'F'G' is 133 degrees
Read more about rotation at:
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help please need this answer like now
Answer:
1/y^10
Step-by-step explanation
Hurry up please I have 27 minutes to anwser 25 guestions
Answer:
C. The relationship between the quantities is: add 25.
Step-by-step explanation:
1x = 25y,
2x = 25 + 25 = 50y
3x = 50 + 25 = 75y
4x = 75 + 25 = 100y
Note:
As you can see, every time the number goes up on the chart, it goes up by 25 and you can find that out by just simply adding 25 to the first number and seeing if it matches up with the next, (which I did above).
Can someone help me please?
Answer:
[tex]x=\sqrt{12}[/tex]
Step-by-step explanation:
The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] in a right triangle where c is the longest side. To solve for x, we plug in the side lengths given as a and c.
[tex]a^2+b^2=c^2\\2^2+x^2=4^2[/tex]
Move 2² to the other side to isolate b²
[tex]x^2=4^2-2^2[/tex]
Square root both sides to isolate b
[tex]x=\sqrt{4^2-2^2}\\x=\sqrt{16-4} \\x=\sqrt{12}[/tex]
I hope this helps!
Work out the value of x
Answer:
x=35
Step-by-step explanation:
A pentagon's sum of interior angles is 540 degrees.
Now, we can set up an equation.
(4x - 57) + (3x + 15) + 4x + (2x - 3) (3x + 25) = 540
Combine similar terms
16x - 20 = 540
16x = 560
x = 35
In the diagram, the measure of angle 6 is 98°.
What is the measure of angle 7?
Answer:
angle7 = 180°-98° = 82° (Angles on a straight line)
8 5/6 + 2 3/4 +__=14 this is fractions so the answer should be a fraction please help
Answer:
2 5/12
Step-by-step explanation:
8 5/6 + 2 3/4 = 8 10/12 + 2 9/12 = 10 19/12 = 10 + 1 7/12 = 11 7/12
13 12/12 - 11 7/12 = 2 5/12
The largest of the resort cities on Mexico's Pacific coast is
Veracruz
Tampico
Cancun
Acapulco
Answer:
Acapulco
Step-by-step explanation:
Decide if the following equation is growth or decay?
y = 475 (0.256)
Decay
Growth
Jack bought a bag of carrots 1 1/3 lbs of cucumbers, 1 1/6 lbs of celery, the total weight of the vegetables was 4 1/2lbs how much did the bag of carrots weigh
Answer: The answer is 2
Step-by-step explanation:
The bakers fits 26 rolls on to a pan that measures 1 5/8ft2. How many square feet does the baker use for each roll
Answer: 1/16 ft²
Step-by-step explanation:
The baker put 26 rolls into a pan that has an area of 1⁵/₈ ft².
Each roll is therefore taking up a space of:
= Area/ Number of rolls
Convert the fraction to an improper fraction:
1 ⁵/₈ = 13/8
= 13/8 ÷ 26
= 13/8 * 1/26
= 13/208
= 1/16 ft²
Can you please help
This is due today
I need the equation and answer
Equation/the way to do it :
Answer:
Can y’all plz help me plz
Answer:
x= 68
Step-by-step explanation:
do u need the work 4 it?
Answer:
32
Step-by-step explanation:
Simplify: (-3y5)3
-9y8
-9y15
-27y8
-27y15
Answer:
(-3y5)3
-9y15
Step-by-step explanation:
prove me wrong
Jane mixes 3 gallons of red paint (r) for every 6 gallons of blue paint (b). Write one equations that show the relationship between red paint and blue paint. Use lower case r and b (NO SPACES)
Answer:
umm 9 gallons i think
Step-by-step explanation:
Which value is not equivalent 0.37 0.370 37/100
A florist is making bouquets. Draw lines to match each
description with the number of bouquets she can make.
52 bouquets
630 roses with 10 roses in each bouquet
53 bouquets
640 roses with 12 roses in each bouquet
54 bouquets
975 roses with 18 roses in each bouquet
63 bouquets
1,250 roses with 24 roses in each bouquet
Answer:
1) 630 roses with 10 roses in each bouquet = 63 bouquets
2) 640 roses with 12 roses in each bouquet = 53 bouquets
3) 975 roses with 18 roses in each bouquet = 54 bouquets
4) 1,250 roses with 24 roses in each bouquet = 52 bouquets
Step-by-step explanation:
We need to match each description with the number of bouquets that can be made.
Solving this, we need to make bouquet of roses and each bouquet contains the given number of roses. We need to divide the total roses available by number of roses in each bouquet to find number of bouquets.
The formula used will be: [tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}[/tex]
1) 630 roses with 10 roses in each bouquet
Total roses = 630
Number of roses in each bouquet = 10
So, number of bouquets will be:
[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{630}{10}\\Number\:of\:bouquets=63[/tex]
So, 63 bouquets can be made.
2) 640roses with 12 roses in each bouquet
Total roses = 640
Number of roses in each bouquet = 12
So, number of bouquets will be:
[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{640}{12}\\Number\:of\:bouquets=53.3 \approx53[/tex]
So, 53 bouquets can be made.
3) 975 roses with 18 roses in each bouquet
Total roses = 975
Number of roses in each bouquet = 18
So, number of bouquets will be:
[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{975}{18}\\Number\:of\:bouquets=54.1\approx54[/tex]
So, 54 bouquets can be made.
4) 1,250 roses with 24 roses in each bouquet
Total roses = 1250
Number of roses in each bouquet = 24
So, number of bouquets will be:
[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{1250}{24}\\Number\:of\:bouquets=52[/tex]
So, 52 bouquets can be made.
Write the fraction 9/12 as a percent
9/12 = 75%
if any questions just ask.
Answer:
75%Step-by-step explanation:
9/12 in percent = 9 ÷ 2 × 100%=0.75 × 100= 75%.l hope it helps you ❤❤evaluate 5^-1/ -9^0 to its simplest form
Answer:
-1/5
is it -(9)^0 or (-9)^0 if it -(9)^0 then
+ 5^-1/ -9^0 = 5^-1/-1
=-5^-1
=-1/5
a rectangular prism has a volume of 4x^3 - 40x^2 + 36x
what is a better deal 12 cans for $0.88 each or 16 cans for $ 0.85 each
16 cans for .85 cents is a better deal because it is less cents per can than there is in the other deal. May I please be the brainiest? I have never been that and I would love it