Answer:
2.51
step by step explanation:2.51 meters per second is the speed of skater traveling if they are moving at a rate of 5.6 mile per hour.
To convert from miles per hour (mph) to meters per second (m/s), we will need to use the following conversion factors:
1 mile = 1609.34 meters
1 hour = 60 × 60 = 3600 seconds
Given the skater's rate of 5.6 mph:
Speed in m/s
= (5.6 mph) × (1609.34 m/mile) / (3600 s/hour)
≈ 2.51 m/s
So, the skater is traveling at a rate of approximately 2.51 meters per second.
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A bee travels 50 meters in 2 seconds. At this speed, how long would it take for the bee to travel 375 meters?
Calculate the bee's unit rate of meters per second.
What is the equation of constant proportionality? (y=kx)
Answer:
15 seconds
Step-by-step explanation:
What is (-2) power 35?
Answer: − 34359738368
What is the constant of proportionality in this
equation?
y= 20x
Answer:
k=20
Step-by-step explanation:
The constant of proportionality, k, measures the constant value of the ratio between two proportional quantities, being y and x in this case. Essentially, y/x will always equal 20, the constant of proportionality.
|3x - 5| = |6x - 1|
Answer:
x = -4/3
Step-by-step explanation:
|3x - 5| = |6x - 1|
=> 3x - 5 = 6x - 1
=> 1 - 5 = 6x - 3x
=> -4 = 3x
=> x = -4/3
Hoped this helped.
Answer:
x = [tex]\frac{-4}{3}[/tex] or x = -1.333333.....
Step-by-step explanation:
3x - 5 = 6x - 1
Move the 3x to the other side by subtracting, because the 3x is positive on the left side.
-5 = 3x - 1
Move -1 to the other side by adding.
-4 = 3x
Divide by 3 to get x
[tex]\frac{-4}{3}[/tex] = x
Hope this helps! <3
The volume of a rectangular prism is 550 cubic meters.
The length of the rectangular prism is 8 meters,
the width is x - 2, and the height is x + 5.
Find the value of x, and the dimensions of the rectangular prism.
Enter your answer as an integer or decimal.
V = lwh
X=
Width=
Meters
Height=
The value of x and the dimensions of the rectangular prism are as follows;
x = 7.5 m
length = 8 m
width = 5.5m
height = 12.5 m
volume of a rectangular prism = lwh
volume = 550 m³
l = 8
w = x - 2
h = x + 5
Therefore,
v = lwh
550 = (x + 5)(x - 2)8
550 = (x² - 2x + 5x - 10)8
550 = (x² + 3x - 10)8
550 = 8x² + 24x - 80
8x² + 24x - 80 - 550 = 0
8x² + 24x - 630 = 0
4x² + 12x - 315 = 0
using quadratic formula,
where
a = 4
b = 12
c = -315
-b ± √b² - 4ac / 2a
Therefore,
x = -10.5 or 7.5
x cannot be negative .
so, x = 7.5
x = 7.5 m
length = 8 m
width = 7.5 - 2 = 5.5 m
height = 7.5 + 5 = 12.5 m
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introduction to algebra explain
Answer:
Algebra is the branch of Maths that uses alphabetical letters to find unknown numbers. These letters are also called variables. ... Algebra involves the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0.
Step-by-step explanation:
In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.
Hiiii!
Here's what algebra is:
Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. ... The letters x and y represent the areas of the fields.
In simple words: a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic.
Hope it helps! ( ꈍᴗꈍ)
-Nezuko
I have no idea how to do these plz help and plz make sure it’s right because I only have 5 questions and will mark brainiest:)
Answer: the answer is d
Step-by-step explanation:
Pls can someone pls help me
Please show your work
Answer:
x = 8
I dunno what the question is in the first place, but I assume you are solving for x.
Step-by-step explanation:
The two given angles are equivalent because they are parallel and they have a line that intersects.
The line creates two angles on each side of each line, which is 120 or 60 because there are 180 degs on a straight line.
The obtuse side is 120, and the -8 + 16x is also on an obtuse angle, showing that they are equal.
120 = -8 + 16x
128 = 16x
8 = x
x = 8
Which is equivalent to the expression below 6a-7+2a-4
i need help again...
Answer:
2 again and the next one is 3
Step-by-step explanation:
1\4-2\7 plese show your work
Answer:
-1/28
Step-by-step explanation:
You need to convert 2/7 and 1/4 into the same denominator. The GCD is 28. 2/7=8/28 and 1/4=7/28. 7/28-8/28=-1/28
Answer:
-1/28
Step-by-step explanation:
You have to find the least common multiple for 7 and 4, the denominators, to add the fractions. The LCM of 7 and 4 would be 28. You would have to multiply 7 by 4 and 4 by 7, meaning you have to multiply the numerators by the same number. 1x7/4x7-2x4/7x4= -1/28.
Solve inequality 5x+ 3 divided by 2 > 3x+2
Step-by-step explanation:
divide 3÷2 (5x+1.5>3x+2)
move the terms (5x-3x>2-1.5)
2x>0.5
divide by 2
x=0.25
geometry Solve for x
Someone help me on B and C!!!!
Answer:
(Answer of part B) First of all diameter of Mars in ordinary number = 6780 kmNow radius = Diameter/2 = 6780/2 = 3390 So radius of Mars in ordinary number = 3390 km(Answer of part C) Mass of earth = 5.97 × 10³⁴ Mass of mercury = 3.3 × 10²³Difference between the masses of Earth and Mercury = (5.97 × 10³⁴) - (3.3 × 10²³) = 2.67 × 10¹¹So, difference = 2.67 × 10¹¹Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Find the measures of angles x and y in the figure.
Answer:
x = y = 60°
Step-by-step explanation:
The angle adjacent to 120° inside the triangle is
180° - 120° = 60°
The triangle is isosceles ( 2 congruent legs ) with the 2 base angles being congruent , then
y = 60°
The vertex of the triangle = 180° - (60 + 60)° = 180° - 120° = 60°
x is vertically opposite the vertex and is congruent , so
x = 60°
Find the cost per roll if a bag of five lunch rolls is $2.50
[tex]\rule{300}{3}[/tex]
[tex]\text{Hi!}[/tex]
To find the cost per item (or in your case "rolls"), you will first have to divide the cost of the lunch rolls [tex](2.50)[/tex] by the amount of lunch rolls there are [tex](5)[/tex].
So in this case, it would look like
[tex] \textbf{$2.50/5} [/tex][tex]\text{$2.50 ÷ 5}[/tex][tex]\text{$2.50 / 5}[/tex][tex]\text{2.50}[/tex] ÷ [tex]\text{5}[/tex]
[tex]\text{=$0.50}[/tex]= [tex]\text{\ 0.50}[/tex]
[tex]\boxed{\$0.50{}}[/tex]
[tex]\rule{300}{3}[/tex]
please help me!!!!!!!!
Answer:
Step-by-step explanation:
Option a,c,e,f,i,j are quadratic equations. (Because its degree is 2)
Option b,d,g are linear equations. (Because its degree is 1)
Just option h is not quadratics nor linear.
If you need to ask any questions, please let me know.How to tell if a function is exponential.
Answer:
It is when it has factors and can be multiplied
16. To get to school, Enzo can travel 1.2 km
east on Rutherford Street and then south
on Orchard Avenue to his school. Or, he
can take a shortcut through the park, as
shown. His shortcut takes him 20 min.
a
Rutherford Street
home
Orchard Avenue
shortcut
school
Enzo's walking speed is 6 km/h.
a) What angle does Enzo's shortcut make
with Rutherford Street? Describe any
assumptions you must make.
b) How much time does Enzo save by
taking his shortcut? Explain your answer.
Answer:
a)it is a 45 degree angle
b) Enzo saves 8 minutes if he takes the shortcut
Step-by-step explanation:
a) In the picture it looked like a square and if Rutherford street is 1.2 km so is Orchard avenue, and if its a true square it must be 90 degrees so you cut that is half and you get your answer of 45 degrees .
b) It takes Enzo 20 min to walk the shortcut and his walking speed is 6 km/h
you divide 20 by 1.3 or one third and you get 2 so the short cut is 2 km long, and we know Rutherford st. and Orchard ave. is 1.2 km each
2.4 km=length of Rutherford and Orchard together
shortcut is 2 km
divide 2.4 by 0.4 or .4 and you get 6
so if it takes him 20 min on the shortcut it should save him 8 minutes.
how does adding with decimals cpmpare to adding whole number
Answer:
Add decimals the same way as whole numbers, taking care to align the decimal points. Equivalently, align the ones because every number has ones.
Step-by-step explanation:
I NEED TO FINISH THESE BY NEXT WEEK>
Answer:
domain is (2,-3)
range is (1)
hi guys. been trying to learn how to figure out these types of questions. having heaps of trouble. would someone be able to explain for me thankq
Step-by-step explanation:
you multiplie elements in order
first you multiple 2v by 4,than 2v by -v,than -q by 4 and finally -q by -v
it will be 8v+2v^2-4q+qv
can someone help me with this problem?
Answer:
B) f^-1(x)=3-5x
Step-by-step explanation:
y=3-x/5
rearrange the equation so you have x variable on the left side
5y=3-x
+x +x
5y+x=3
-5y -5y
x=3-5y
so answer is b)
f^-1(x)=3-5x
A high school teacher teaches three classes per day. Her first class has double the number of students as her
second class, while her third class has 5 more students than her second class. In total, she teaches 65 students.
The equation 2x + x + (x + 5) = 65 represents this scenario, where x is the number of students in her
second class.
How many students are in her second class?
Answer: 15 students in her second class.
Step-by-step explanation:
Let A, B, and C stand for the number of students in each class. See the attached table.
The column labelled "Students" is formed by assinging B to the second class and finding how the other two classes relate to B. Class A has twice as many students as class B, so A = 2B. Class C has 5 more students than B, so C = B+5.
The total students amount to 65, whcih is the sum of A, B, and C:
A + B + C = 65
Substitute the values of A and C into this equation:
A + B + C = 65
2B + B + (B+5) = 65
4B + 5 = 65
4B = 60
B = 16
Use B=16 and solve for the other two classes (dotted blue line).
Travis Scott sold 38 papers in 2 hours. At that rate, how many papers would he sell in 3 hours?
Answer:
none cuz Travis don't sell papers
Step-by-step explanation:
I'm kidding so 38 ÷ 2 = 19 so 38 + 19 or 19 × 3 = 57
An image viewed on a computer screen has a height of 2 inches and a width of 3 inches. If the image is enlarged 150%, what are the height and width of the enlarged image?
The enlarged image will have a height of
in. and a width of
in
Answer:
I think its 3 and 4.5. I looked it up.
Step-by-step explanation:
Look up 2 in enlarged by 150% and I clicked on the first link and then do the same for 3.
The enlarged image will have a height of 3 in. and a width of 4.5 in.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
An image viewed on a computer screen has a height of 2 inches and a width of 3 inches.
If the image is enlarged 150%
so, the height and width of the enlarged image is,
height = 2*150%
=3
width= 3*150%
=4.5
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How to factor using grouping.
Step-by-step explanation:
step 1:-group the first two terms together and then the last terms together.
step 2:-factor out a GCF from each separate binomial.
step3:-factor out the binomial
its in the photo which one is the answer
Answer:
number 3 is the answer
Step-by-step explanation:
hope u understand
beno
8) Sarawong spent half of his weekly
allowance playing mini-golf. To earn
more money his parents let him wash the
dog for $5. What is his weekly allowance
if he ended with $12 ?
Answer:
$ 14
Step-by-step explanation:
12 - 5 = 7 = half weekly allowance
The purpose of a budget is to figure out how to use money in a way that best meets your wants and needs. TRUE OR FALSE. Brainly