A man runs for an hour and a half at 8 miles an hour due south. he then continues south on a bus traveling at 55 miles an hour for 24 minutes. He will traveled 34 miles.
He covered 8 miles the first hour, and then half of that in his next half hour,
So, 8+4 = 12 miles.
The bus took 24 minutes, which is [tex]\frac{2}{5}[/tex] of an hour.
[tex]\frac{60}{5} = 12[/tex]
So, after 12 minutes on the bus, he travelled [tex]\frac{55}{5} = 11[/tex] miles
And after 24 minutes, 22 miles.
In total 12+22=34 miles.
Speed(v) is related to distance(d) and time(t) by
v= [tex]\frac{d}{t}[/tex].
Equivalently, d= v×t
So, d= 8×1.5+55×24×[tex]\frac{1}{60}[/tex]
= 34 miles.
Therefore, he traveled 34 miles.
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The Tober family built a square deck with an area of 75 m'. The length of one
side is between which two whole numbers
Answer:
Between 8 and 9
Step-by-step explanation:
The square root of 75 is about 8.6
Therefore the answer is between the number 8 and 9.
The PS4 cost $650 when it first came out. Two years later it was only worth $250. By what percentage did the price decrease?
Answer:
It decreased by 61.5%
Step-by-step explanation:
Lori is running in a marathon, which is 35.6 miles long. So far, she has run one-tenth (1/10) of the marathon. How far did Lori run?
You are planning to go to the movies tonight, but you only have 25
dollars to spend. The ticket for the movie that you want to see is 9
dollars plus 4 dollars for each snack. Write an equation that would
represent how many snacks you can buy after purchasing the ticket. Use
x to represent the number of snacks purchased.
Answer:
9+4x=25
Step-by-step explanation:
After spending 2/3 of his money. Charles has 12 pesos left. How much did he have at first??
The total amount of money charles must have had at the beginning is 36 pesos.
What are fractional linear equations and how one can solve it?
Linear equations which are in the form of fractions are referred as fractional linear equations.
an equation containing the unknown in the denominator of one or more terms (as a/x + b/(x + 1) = c)
It is frequently simplest to eliminate the fraction in the first step when dealing with fractions incorporated into linear equations. Typically, this entails locating the fraction's LCD and multiplying each term in the entire equation.
Solution:
Given:
Money left with charles = 12 pesos
Money spent = 2/3 of the total amount.
Find:
Total Money he had at first = ?
Step-1:
Let x denote the total amount of money he had at the beginning.
After spending 2/3 of his money he is left with 1/3 of part of his money.
Step-2:
So the equation can be written as:
1x/3 = 12
x = 36
Hence the total money he had at the beginning was 36 pesos.
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Mr. Holmes is buying mulch for his triangular-shaped garden shown below. The mulch he is purchasing costs $3.75 per bag. If each bag covers 18 square feet, how much will it cost him?
Answer:
Step-by-step explanation: 76
Find the volume of a cone that has a radius of 4 centimeters and a height of 19
centimeters.
(Use 3.14 for pi and round the answer to the nearest hundredth.)
Answer:
Volume of the cone = 318.19 cubic cm
Step-by-step explanation:
Volume of a cone = 1/3πr²h
r is the radius = 4cm
h is the height = 19cm
Substitute into the formula
Volume of a cone = 1/3π(4)²(19)
Volume of a cone = 1/3* 3.14 * 16 * 19
Volume of a cone = 954.56/3
Volume of a cone = 318.19 cubic cm
Komisyon (9-6) 12) Bir araba satıcısı, bir haftalık araba satışlarının% 2,5'ini ve saatine 30 dolar veriyor, haftalık satışları 100.000 S $ idi ve 40 saat çalıştı. Hafta boyunca toplamda ne kadar kazandı?
Cevap:
3700 ABD doları
Adım adım açıklama:
Haftalık satış = 100.000 $
Haftalık satışlarda kazanılan yüzde =% 2,5 = (0,025 * 100.000 ABD Doları) = 2500 ABD Doları
Saatlik kazanç = 30 $
Çalışılan saat sayısı = 40 saat
Çalışılan saat için kazanç = 40 * 30 $ = 1200 $
Toplam kazanç:
Haftalık satış yüzdesi + çalışılan saat için kazanç
(1200 ABD doları + 2500 ABD doları) = 3700 ABD doları
Which is more 35 inches or 3 feet
Answer:
3 feet
Step-by-step explanation:
3 feet is more because 35 inches = 2 feet and 11 inches.
Two chords, AC and DE, intersect inside of circle O at point X. AX=15 cm, CX= 12 cm, and EX= 21 cm. Find DE
Answer:
Do you have a picture or something?
Step-by-step explanation:
PLEASE HELP ASAP PLEASE
The area of a sector created by a 150° angle is 20.5 in.2. What is the area of a sector created by an angle of 300° in the same circle?
10.25 in.2
30.75 in.2
41 in.2
64 in.2
Answer: 41in 2
Step-by-step explanation: i just got it right on edge
Answer:
C. 41 in.2Step-by-step explanation:
he line segment is rotated by 270 degrees counterclockwise about the origin to form C′D′. Which statement describes C′D′?
1. C′D′ is 4 units long.
2. C′D′ is 8 units long.
3. C′D′ is parallel to CD.
4. C′D′ is half the length of CD.
Answer:
it is parrell
Step-by-step explanation:
What is the following product
Milton purchases a 7-gallon aquarium for his bedroom. To fill the aquarium with water, he uses a container with a capacity of 1 quart.
How many times will Milton fill and empty the container before the aquarium is full?
Milton will fill and empty the container __ times.
Help needed!
The photo attached is the second question :)
Answer:
57 is the correct answer
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Answer: 3.6
Step-by-step explanation:
Using pythagorean we can determine that a^2+b^2=c^2
In this case the leg and adjacent make a distance of 2 and 3 we can substitute for a and b so
[tex]2^{2}+3^{2}=c^{2}[/tex]
13=[tex]c^{2}[/tex]
c= 3.605 rounded is 3.6
Confused on this one help me solve for point B
Answer:
1,-1
Step-by-step explanation:
because section be is for +,-
Answer:
1,-1
Step-by-step explanation:
A classmate stated, "A concave polygon be can be regular because it can have all sides congruent." Is this student's claim valid?
Why or why not?
Answer:
No.
Step-by-step explanation:
A regular polygon has all sides and angles congruent. This is not possible with a concave polygon. If the sides are congruent in a concave polygon the angles are not congruent.
What is the approximate volume of the cone? Use 22/7 for π. Enter your answer in the box.
volume of a cone is 132 cubic centimeter.
What is volume of cone?The volume of a cone is defined as the amount of space or capacity a cone occupies. The volume of a cone formula is given as one-third the product of the area of the circular base and the height of the cone.
Volume of cone V = [tex]\frac{1}{3} \pi r^{2} h[/tex]
Given
Radius of cone r = 3 cm
Height of cone h = 14 cm
[tex]\pi[/tex] = [tex]\frac{22}{7}[/tex]
Volume of cone V = [tex]\frac{1}{3} \pi r^{2} h[/tex]
V = [tex]\frac{1}{3}[/tex] × [tex]\frac{22}{7}[/tex] × [tex]3^{2}[/tex] × [tex]14[/tex]
V = 22 × 3 × 2
V = 132 cubic centimeter
Hence, volume of a cone is 132 cubic centimeter.
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Miss Garry played the Game of Life during Spring Break and kept track of the results from all the times she spun the wheel. During the game, she spun the wheel 80 times and the spinner landed on the number three 25 times. What is the experimental probability of spinning a three?
Answer:
it would be a 10% chance because think about it you have ten numbers so with each number there is a 10% chance of landing on it.
Please explain in simple language how to complete the square.
Answer:
Step 1 Divide all terms by a (the coefficient of x2).
Step 2 Move the number term (c/a) to the right side of the equation.
Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
Step-by-step explanation:
hope i helped
Which of the following is the correct order when multiplying two binomials?
Inner, first, last, outer
First, outer, inner, last
Outer, last, first, inner
Last, inner, outer, first
Please help.
Answer:
A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial.
Step-by-step explanation:
The correct order when multiplying two binomials will be First, outer, inner, and last. Then the correct option is B.
What is binomial?The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are two separate terms.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Let the two expressions are (a + b) and (c + d). Then the multiplication of the expressions will be given as,
⇒ (a + b) x (c + d)
⇒ a(c + d) + b(c + d)
⇒ ac + ad + bc + bd
The correct order when multiplying two binomials will be First, outer, inner, and last. Then the correct option is B.
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Please hurry!!!! I need answer ASAP!!!!!
David wants to buy a new bicycle
that cost $295 before a 40%
discount. He finds the cost after the
discount, in dollars, by evaluating
295 – 295(0.40). His brother Michael
finds the same cost by evaluating
295(1 – 0.40). What property can be
used to justify that these two
expressions represent the same cost
after the discount?
A. associative property
B. cominutative property
C. distributive property
D. subtraction property of equality
Answer:
subtraction property for sure its that
2(x+7)=-4x+14 type the steps to solve it. Thanks.
Help Me! Will give brainliest. Hurry UP!
11-2m-[n+5+-m-3n+8
Simplify!
Answer: 4mn+2m^2 -26m+ 11
Step-by-step explanation:
Answer: --1• (3m + 4n -- 24)
Step-by-step explanation:
I have done this equation before I just can find how to do the problem sorry
Can someone please help me with this because I don’t get it
Answer:
161
Step-by-step explanation:
the sum of the two interior angles equals that exterior angle
121+40=161
Inequality Question
Seven buses can hold no more than 560 students
Answer:
thanks but wheres the question???????????/
Step-by-step explanation:
Two names for the angle formed by the dashed rays are? help please
Answer:
VTB and MTF
Step-by-step explanation:
There's also another value called FTL
Write an equation to represent the situation. Cayla was going to sell all of her stamp collection to buy video game after selling half of them she changed her mind she then bought four more. How many did she start with if she now has 26.
Answer:
[tex]y = \frac{1}{2}x + 4\\\\[/tex]
Cayla started with 44 stamps
Step-by-step explanation:
Let x = the number of stamps in Cayla's stamp collection;
[tex]y=\frac{1}{2}x + 4[/tex]
[tex]26 = \frac{1}{2}x + 4\\\\22 = \frac{1}{2}x\\\\44 = x[/tex]