The best friend is the faster runner as his speed is 51.28 m/s while my speed is 48.78 m/s.
Speed is defined as the distance travelled by someone or something in unit time. The SI unit of speed is meters per second. The speed is calculated by dividing the distance travelled by the total time taken to travel said distance.
Given the distance travelled by both of the friends is 400 meters.
Now The first friend travels this distance in 8.2 seconds:
Therefore speed is calculated by distance ÷ time
or, speed = 400 ÷ 8.2
or , speed = 48.7804... m/s
or, speed ≈ 48.78 meters per second
And the best friend travels this distance in 7.8 seconds:
Therefore speed is calculated by distance ÷ time
or, speed = 400 ÷ 7.8
or , speed =51.2820... m/s
or, speed ≈ 51.28 meters per second
Therefore by comparing both the speeds we can conclude that the best friend is the faster runner.
To learn more about speed visit:
https://brainly.com/question/9834403
#SPJ1
The equation d = 4 - (1/15)t represents your distance from home d for each minute you walk t .
b. Are you walking towards or away from your home? Explain. points on the line.
The graph of the equation is showing that we are walking towards our home. If the equation d = 4 - (1/15)t represents your distance from home d for each minute you walk t .
What is a slope of line?A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.
The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.
Therefore,
m = y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.
Be aware that tan ∅ = y/x
We also refer to this tan as the line's slope
We have given d = 4 - (1/15)t
We will use the graph tool and determine the coordinates
(see the attached image)
When t = 0, d = 4 (y-intercept)
This provide the info that at the time t = 0 the house was four units away.
When t = 60 min, d = 0 (x-intercept)
This provide the info that he was already at home at the time t = 60 minutes.
Thus, this slope proves that he was walking towards the house.
Learn more about slope
brainly.com/question/16949303
#SPJ4
6/7 x (-3/13) + 3/13 - 3/13 x 8/7
[tex]\frac{6}{7} \times(\frac{-3}{13} )+\frac{3}{13}-\frac{( \frac{3}{13} \times8)}{7}[/tex]
By simplifying answer is [tex]\frac{-3}{13}[/tex] in decimals -0.230769
Here, we have done addition, subtraction, multiplication and division.
[tex]\frac{6}{7} \times(\frac{-3}{13} )+\frac{3}{13}-\frac{( \frac{3}{13} \times8)}{7}\\[/tex]
First, We will do Multiplication
Adding a number to itself as many times as the value of the other number is equivalent to multiplying two numbers by their sum.
[tex]\frac{-18}{91} +\frac{3}{13}-\frac{\frac{24}{13} }{7}[/tex]
Now, We will do the division
Basically, dividing is the act of dividing anything into equal sections or groups.
[tex]\frac{-18}{91} +\frac{3}{13}-\frac{24 }{91}[/tex]
Now, We will do the subtraction and Addition
When objects are collected together, addition, a mathematical operation, describes how many total items there are in the collection.
The reverse of adding in mathematics is called subtraction. When a specific number of objects from a group are removed, subtraction is used to determine how many objects are still present in the group.
[tex]\frac{3}{13}-\frac{6 }{13}\\\frac{-3}{13} \\[/tex]
Therefore, the simplified answer is [tex]\frac{-3}{13}[/tex] in decimals -0.230769.
To learn more about multiplication visit: https://brainly.com/question/5992872
#SPJ9
two companies sell custom t shirts company a charges $5 per shirt plus a one time $20 service fee company b charges $7 per shirt plus a one time $10 service fee what is the number of shirts were both companies would cost the same
The number of shirts produced by each company to have the same cost are 5 shirts.
We have that:
For Company A:
Fixed cost will be = $ 20
Cost per shirt = $ 5
For company B:
Fixed cost will be = $ 10
Cost per shirt = $ 7
Let the number of shirts be x.
Equation for cost for company A:
Cost = 20 + 5 x
Equation for cost for company B:
Cost = 10 + 7 x
Now, put both the companies cost equal, we get that:
10 + 7 x = 20 + 5 x
7 x - 5 x = 20 - 10
2 x = 10
x = 10 / 2
x = 5
Therefore, the number of shirts produced by each company to have the same cost are 5 shirts.
Learn more about cost here:
https://brainly.com/question/25109150
#SPJ9
2x-6(x- 3)≥5 solve for x
Answer:
[tex]x \leq \dfrac{13}{4}[/tex]
Step-by-step explanation:
Given inequality:
[tex]2x-6(x-3)\geq 5[/tex]
Expand -6(x - 3):
[tex]\implies 2x-6(x)-6(-3)\geq 5[/tex]
[tex]\implies 2x-6x+18\geq 5[/tex]
Combine like terms 2x - 6x = -4x:
[tex]\implies -4x+18\geq 5[/tex]
Subtract 18 from both sides:
[tex]\implies -4x+18-18\geq 5-18[/tex]
[tex]\implies -4x\geq -13[/tex]
Divide both sides by -1, remembering to reverse the inequality:
[tex]\implies\dfrac{ -4x}{-1}\geq \dfrac{-13}{-1}[/tex]
[tex]\implies 4x\leq 13[/tex]
Divide both sides by 4:
[tex]\implies \dfrac{4x}{4}\leq \dfrac{13}{4}[/tex]
[tex]\implies x \leq \dfrac{13}{4}[/tex]
what is 0.5835 centimeter rounded to the nearest tenth
Answer:
0.6 centimeter
Step-by-step explanation:
The picture below should help you see the tenth place, or where we are rounding to! Since, the number after the tenth place is above 4, we are going to round the tenth place up :)
0.5835 cen. → 0.6 cen.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
tate whether each sentence is true or false. If false, replace the underlined word or phrase to make a true sentence.
Extended ratios can be used to compare three or more quantities.
Given statement 'Extended ratios can be used to compare three or more quantities.' is True.
We know that an extended ratios are ratios that compare more than two quantities.
If we're comparing values x, y and z, then we would express this using the extended ratio x : y : z.
For example, suppose a triangle has side lengths of 15, 45, and 10.
The extended ratio that compares the side lengths of the triangle is:
15 : 45 : 10
We can simplify this ratio by factoring each of 15, 45, and 10 and cancelling out any factors that are common to all three quantities.
(5 × 3) : (5 × 9) : (5 × 2)
5 is a common factor of all three quantities, so cancel it out.
3 : 9 : 2
Therefore, given statement 'Extended ratios can be used to compare three or more quantities.' is True.
Learn more about the extended ratios here:
https://brainly.com/question/15163069
#SPJ4
Which of the following is equal to 7^1/4?
A. 4√7
B.√7.4
C. 7^4
D. √7
Answer:
[tex] {7}^{ \frac{1}{4} } = \sqrt[4]{7} [/tex]
The correct answer is A.
Down
Round...
1. 24.263 to the nearest tenth.
3. 341.276 to the nearest hundredth.
5. 299.61 to the nearest whole number.
6. 4,123.499 to the nearest whole number.
7. 5.246 to the nearest hundredth.
Briefly explain how to get the next term in the Fibonacci Sequence
PLS HELPP
Answer:
The Fibonacci sequence is defined by , for all , when and . In other words, to get the next term in the sequence, add the two previous terms. The notation that we will use to represent the Fibonacci sequence is as follows: f1=1,f2=1,f3=2,f4=3,f5=5,f6=8,f7=13,f8=21,f9=34,f10=55,f11=89,f12=144,…
What is the ratio of 5 days to 60 hours?
Answer:
12:1
Step-by-step explanation:
Answer:
2:1
Step-by-step explanation:
ABCD is a rectangle. The length of AC is 4x-8, and the length of BD is 2x+10. What is the length of one of its diagonals?
Answer:
28 units
Step-by-step explanation:
• the diagonals of a rectangle are congruent , then
AC = BD , that is
4x - 8 = 2x + 10 ( subtract 2x from both sides )
2x - 8 = 10 ( add 8 to both sides )
2x = 18 ( divide both sides by 2 )
x = 9
Then
BD = 2x + 10 = 2(9) + 10 = 18 + 10 = 28
the diagonals are 28 units long
In the diagram below, DGL DF. Use the diagram for questions 1-7.
1. Name the sides of 24.
2. Name the vertex of 22.
3. Give another name for 23.
4. Classify 25.
5. Classify LCDE.
6. If m25 = 42° and m/1 = 117°, find m/CDF.
7. If m/3 = 73°, m/FDE.
H5
D
4
3
G
tay
E
1.
2.
3.
4.
5
Answer:
1. Sides of ∠4 are DC and DG
2. Vertex of ∠2 = Point D
3. Another name for ∠3 = ∠EDG
4. ∠5 is an acute angle
5. ∠CDE is a straight angle
6. m ∠CDF = m∠5 + m∠1 = 42 + 117 = 159°
7. m ∠FDE = 17°
Step-by-step explanation:
For # 7 note that since DG is perpendicular to DF, m ∠GDF = 90°
m ∠GDF = m ∠3 + m ∠FDE
Since m ∠3 = 73°, m∠FDE = 90 - 73 = 17°
You are solving a measurement problem where the numbers 5.2187 x 10−3, 2.05 x 107, and 3.40 x 103 are multiplied. How many significant digits should the product have?
Answer:
3 because you always know your answer by the smalest number which has a digit of 3
Step-by-step explanation:
Write a unit for:25 pounds in 10 weeks
The unit is 2.5 Pounds per week.
What is a unit?A unit of measurement is a definite magnitude of a quantity that is defined and adopted by convention or law and is used as a standard for measuring the same type of quantity. Any other such quantity can be expressed as a multiple of the unit of measurement. A length, for example, is a physical quantity.So, this is a fraction of 25 Pounds in 10 Weeks.
We want a unit rate with a denominator of one, so we divide the top and bottom by ten.
= 25 Pounds ÷ 10 Weeks= 2.5 Pounds ÷ 1 Week = 2.5 Pounds per weekTherefore, the unit is 2.5 Pounds per week.
Know more about units here:
https://brainly.com/question/4895463
#SPJ9
Under his cell phone plan, Omar pays a flat cost of $61 per month and $5 per
gigabyte. He wants to keep his bill under $70 per month. Which inequality can be
used to determine g, the maximum number of gigabytes Omar can use while staying
within his budget?
O 70 > 5g +61
O 705g + 61
O 70 <5(61+g)
O 70 > 5(61+g)
Submit Answer
Answer:
A. 70>5g+61
Step-by-step explanation:
$5 per gigabyte means $5g
$61 + 5g
he keeps his budget lower than $70 so,
5g + 61 < 70
Ana owns a lot that contains 27 acres and is 972' wide. If she buys an adjacent lot that has the same depth but is only 648' wide, how many total acres of land will she own? select one: a. 18 b. 27 c. 45 d. 52
If Ana owns a lot that contains 27 acres and is 972' wide and if she buys an adjacent lot that has the same depth but is only 648' wide then the total acres of land she will own is c.45
First of all, we convert the acres into square feet.
As 1 acre = 43560 square feet
27 × 43560 = 1176120 square feet
Dividing it with 972' to find the depth of the lot she already owns:
1176120 / 972 = 1210 depth
As the adjacent lot has the same depth, therefore;
1210 × 648 = 784080 square feet
Converting square feet into acres by division;
784080 / 43560 = 18 acres
Now we can calculate the total acres of land she will own by addition;
total acres = 27 acres + 18 acres
total acres = 45 acres
Therefore, the total acres of land she will own is calculated to be 45.
To learn more about addition, click here:
https://brainly.com/question/24536701
#SPJ4
What are the solutions of the following systems? Explain.
b. 4x+y = 6 12x + 3y = 18
Explain why only like radicals can be added or subtracted while unlike radicals can be multiplied or divided, Under what conditiones can unlike radicals not be multiplied on divided?
Answer:
To multiply radicals with different indices, we need to find a common denominator, which is the lowest common multiple (LCM) between the roots. Once we obtain the LCM, we can multiply each root and exponent in the radicand to obtain the LCM, and rewrite as one radical
When we multiply two radicals with the same type of root (both square roots, both cube roots, and so on), we simply multiply the radicands (the expressions under the radical signs) and put the product under a radical sign
Determine whether y varies directly with x . If so, find the constant of variation.
y=12 x
The constant of variation in y = (12) x is (12)
y = kx (Where k is the constant)
Here,
⇒ y = (12) x
So, k = (12)
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
Learn more about linear equation
brainly.com/question/14323743
#SPJ4
sunil has 40 counters
Answer:
Question:
Sunil has 40 counters. 9 of Sunil's counters are red. (c) What fraction of Sunil's counters are not red?
Answer: 0.775 or 77.5%
Step-by-step explanation:
Based on the given conditions, formulate: (40 - 9) / 40
Calculate the sum or difference: 31/40
= 31/40 = 77.5% or 0.775
If f(x)=x-5, then match each of the following.
1.-5
2.0
3.-6
4.-3
5.3
6.-4
f(1)
f(-1)
f(2)
f(0)
f(5)
f(8)
Answer:
Step-by-step explanation:Given f(x)=x-5
f(-1)= -1-5
= -6
f(0)=0-5
= -5
f(1)=1-5
= -4
f(2)=2-5
= -3
f(5)=5-5
=0
f(8)=8-5
= 3
San Diego, California is about 2,683,824 feet away from San Francisco, California. Los Angeles is about 700,000 feet closer to San Francisco than San Diego is. Which of the following could be the actual distance between Los Angeles and San Francisco?
The actual distance between Los Angeles and San Francisco is 19,83,824 feet.
Given that, the distance between San Diego and San Francisco is 2,683,824 feet away and Los Angeles is about 700,000 feet closer to San Francisco than San Diego.
What is the distance?Distance is the total movement of an object without any regard for direction. We can define distance as how much ground an object has covered despite its starting or ending point.
The actual distance between Los Angeles and San Francisco = The distance between San Diego and San Francisco - The difference in distance.
= 2,683,824-700,000
= 19,83,824
Therefore, the actual distance between Los Angeles and San Francisco is 19,83,824 feet.
To learn more about the distance visit:
https://brainly.com/question/15256256.
#SPJ1
Determine whether ΔA B C ≅ ΔX Y Z . Explain. A(3,-1), B(3,7), C(7,7), X(-7,0), Y(-7,4), Z(1,4)
By SSS (Side, side, side) congruency;
⇒ ΔA B C ≅ ΔX Y Z .
Given that;
The vertices of ΔA B C are;
A (3, -1) , B (3, 7) and C (7, 7)
The vertices of ΔX Y Z are;
X (-7, 0), Y (-7, 4), Z (1, 4)
We have to prove that ΔA B C ≅ ΔX Y Z .
What is congruency in triangle?
If all three corresponding sides are equal and all the three corresponding angles are equal in measure, then Two triangles are said to be congruent.
Now,
The vertices of ΔA B C are;
A (3, -1) , B (3, 7) and C (7, 7)
The vertices of ΔX Y Z are;
X (-7, 0), Y (-7, 4), and Z (1, 4)
To prove ΔA B C ≅ ΔX Y Z we use distance formula and prove all sides are equal.
In ΔA B C;
Distance between A and B;
[tex]D_{AB} = \sqrt{(3-3)^2 + (7 -(-1))^2} = \sqrt{64} = 8[/tex]
Distance between B and C;
[tex]D_{BC} = \sqrt{(7-3)^2 + (7 -7)^2} = \sqrt{16} = 4[/tex]
Distance between C and A;
[tex]D_{CA} = \sqrt{(7-3)^2 + (7 -(-1))^2} = \sqrt{80}[/tex]
In ΔX Y Z;
Distance between X and Y;
[tex]D_{XY} = \sqrt{(-7-(-7))^2 + (4 -0)^2} = \sqrt{16} = 4[/tex]
Distance between Y and Z;
[tex]D_{YZ} = \sqrt{(-7-1)^2 + (4 -4)^2} = \sqrt{64}= 8[/tex]
Distance between Z and X;
[tex]D_{ZX} = \sqrt{(1-(-7))^2 + (4 -0)^2} = \sqrt{80}[/tex]Clearly, Distance between sides of ΔA B C and ΔX Y Z are;
[tex]D_{AB} = D_{YZ} \\\\D_{BC} = D_{XY}\\\\D_{CA} = D_{XZ}[/tex]
Hence, By SSS congruency;
⇒ ΔA B C ≅ ΔX Y Z .
Learn more about the congruency in triangle visit:
https://brainly.com/question/1675117
#SPJ4
Given −47.01 × 6.2, find the product.
Answer:
-291.462
Step-by-step explanation:
My mom is a teacher lol and I have a calculator haha
A group of hikers is descending the mountain at a rate of 250 feet per hour. What is the change in elevation of hiker after 4 hours?
Answer: 1000 ft
Step-by-step explanation:
Its pretty simple, 250 ft per hour, if they go for 4 hours theyll be at 1000 feet i guess
Answer:
1000 ft
Step-by-step explanation:
you multiple 250 by 4 and the is the change in elevation
Write a coordinate proof to prove that the large triangle in the center of the flag is isosceles. The dimensions of the flag are 4 feet by 6 feet and point B of the triangle bisects the bottom of the flag.
ΔACD ≅ ΔBCE so DC = EC therefore the triangle will isosceles triangle.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
In the given figure
AC = CB , DA = EB and ∠A = ∠B
So,
ΔACD ≅ ΔBCE
Now corresponding sides of a congruent triangle are the same.
So,
DC = EC therefore the triangle will isosceles triangle.
Hence "ΔACD ≅ ΔBCE so DC = EC, therefore, the triangle will isosceles triangle".
For more about triangles,
https://brainly.com/question/2773823
#SPJ4
Doy muchos puntos. Ayuda pls
Answer:
Ava had a greater percentage of change because her allowance increased by 150%, while Joey's only increased by 133%
Step-by-step explanation:
To find the percentage of change, you'll divide.
For Ava:
18 ÷ 12 = 1.5
This means her percentage of change is 150%
For Joey:
24 ÷ 18 = 1.33333... (Round to 1.33)
This means his percentage of change is 133%
150% > 133%, so Ava has the greater percentage of change.
The volume of Cube A is 125 cubic inches. The face of Cube B has an area of 121 square inches. Which cube has a
greater side length?
...PLEASE HELPPP
The cube with he greater side length is: cube B.
What is the Volume and Surface Area of a Cube?Volume of a cube = a³
Surface area of a cube = 6a²
Therefore:
Volume of cube A = 125 in.³
125 = a³
√125 = a
a = 5 in.
Side length of Cube A = 5 in.
Surface area of Cube B = 121 in.²
121 = 6a²
√(121/6) = a
√(121/6) = a
10.7 = a
a = 10.7
Side length of cube B = 10.7 in.
Therefore, the cube with he greater side length is: cube B.
Learn more about cube on:
https://brainly.com/question/1972490
#SPJ1
In June, the price of a pair of inline skates is $165.
The price changes each of the next 3 months.
Month
June
July
August
September
Price of Skates
= $165
165
165+ (-12) = $_
165 + 2(-12) = $_
165+3(-12) = $_____
b.
Describe the change in the price of the inline skates for
each month.
alf ach ai
c.
The table at the right shows the amount of money you
save each month to buy the inline skates. Do you have
enough money saved to buy the inline skates in August?
September? Explain your reasoning.
June
July
August
September
$35
$55
$45
$18
The change in price of the inline skates for the month of July is $153, August is $141 and September is $129 and using the mathematical operations we conclude that we cannot buy the inline skates after savings in the month of August
As per the question statement, we are supposed to find the change in price of the inline skates when price of the inline skates for the month of June is $165.
Using mathematical operations,
Price In July =165+(-12)=153 dollars
Price In August =165+2(-12)=165-24=141 dollars
Price In September =165+3(-12)=165-36=129 dollars
Also in the second part of question asks that whether we will be able to buy the skates in the month of August if we save $[tex]35[/tex] in June, $[tex]55[/tex] in July, $[tex]45[/tex] in August and $[tex]18[/tex] in September.
Price of Skates in August = $141
Using mathematical operations,
Total savings tlll August =35+55+45=135$dollars
As the savings is less than the price of Skates in August, we CANNOT buy the inline skates in the month of August.
Mathematical operations: Combinations combining of Addition, subtraction, multiplication or division for solving any given situation using the given numbers and equations.To learn more about such question, click on the link given below:
https://brainly.com/question/8959976
#SPJ1
Marvel consists of calcium, carbon, and oxygen in the ratio 10:3:12
a) How much carbon would you find in a 300kg piece of marvel?
b) what percentage of marble is calcium
How do I work with these ratios I'm confused
Using proportions, it is found that:
a) You would find 36 kg of carbon is a 300 kg piece of marvel.
b) 40% of marble is Calcium.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For this problem, the ratio 10:3:12 of calcium, carbon and oxygen means that:
Calcium is 10/25 of the total.Carbon is 3/25 of the total.Oxygen is 12/25 of the total.Hence for item a, the amount is given as follows:
300 x 3/25 = 36.
You would find 36 kg of carbon is a 300 kg piece of marvel.
For item b, the percentage is found as follows:
10/25 = 40%.
40% of marble is Calcium.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1