Answer:
The correct option is b. 15
Explanation:
We are given that a freight train travels at an average speed of 60 mph.
Also we are given that the average speed of passenger train is 72 mph.
We are also given that the freight train leaves 3 hours before passenger train. So the number of miles covered by freight train in 3 hours is:
[tex]3 \times 60 = 180[/tex] miles.
Let X be the number of hours it takes the passenger train to catch up the freight train.
Therefore, we have:
[tex]180 + 60 \times X = 72 \times X[/tex]
[tex]72X-60X = 180[/tex]
[tex]12X=180[/tex]
[tex]X=\frac{180}{12}[/tex]
[tex]X=15[/tex]
Therefore, the passenger train will take 15 hours to catch up the freight train.
Answer:
sorry im answering late but the answer is C. 18
Step-by-step explanation:
60 x 18 = 1,080
72 started 3 hours later so that means you subtract 3 from 18 which equals 15 and 72 x 15 = 1,080
ur answer is 18
The rectangle below has an area of x^2-6x-7x 2 ?6x?7 square meters and a width of x-7x?7 meters. What expression represents the length of the rectangle?
Answer:
[tex]x+1[/tex] meters.
Step-by-step explanation:
Let L be the length of rectangle.
We have been given that the rectangle has an area of [tex]x^{2}-6x-7[/tex] square meters and a width of [tex]x-7[/tex] meters.
Since we know that area of rectangle is the product of its length and width.
[tex]\text{Area of rectangle}=\text{Width* Length}[/tex]
[tex]\text{ Length}=\frac{\text{Area of rectangle}}{\text{Width}}[/tex]
To find the length of our given rectangle we will divide area of rectangle by width of our rectangle.
[tex]L=\frac{x^2-6x-7}{x-7}[/tex]
Let us factor out our numerator by splitting the middle term.
[tex]L=\frac{x^2-7x+x-7}{x-7}[/tex]
[tex]L=\frac{x(x-7)+1(x-7)}{x-7}[/tex]
[tex]L=\frac{(x-7)(x+1)}{x-7}[/tex]
Upon cancelling out x-7 from numerator and denominator we will get,
[tex]L=(x+1)[/tex]
Therefore, the length of our rectangle will be [tex]x+1[/tex] meters.
A _______ is invested by managers in a diversity of stocks, bonds, and other securities.
Answer:
Mutual Fund
Step-by-step explanation:
A mutual fund is invested by managers in diversity of stocks, bonds and other securities. Mutual fund is an investments that help you grow your money to bigger value. Your money will be used to invest in some companies, products and services to be able to gain more.
It is an investment programmed funded by share holders that trades in diversified holdings and is professionally managed. It pols money from many investors to purchase securities. These investors could be institutional or retail in nature.
There are about 1.6 km in every mile. Write an expression to represent the approximate number of kilometers in M miles. Then use the expression to find the approximate number of kilometers in 5 miles
Answer: 1.6M kilometers, 8 kilometers
Step-by-step explanation:
Kilometers per mile times miles gives kilometers.
(1.6 kilometers / mile) × M miles = 1.6M kilometers
5×1.6 is 8
the units of volume are always A. cubic units B. square units C. units
Answer:
Cubic Units
Step-by-step explanation:
Self explanatory
Answer:
the units of volume are always cubic units
Joey chestnut is trying to break his own world record for eating the most hot dogs and buns in 10 minutes. He needs to eat more than 72 hot dogs to break his record. After 1 minutes of competition, Joey has eaten 10 hot dogs. Joey wants to know the number of hot dogs per minute that he need to eat for the next 9 minutes to break his own record.
Answer:
Joey needs to eat 7 hot dogs per minute to break his own record in next 9 minutes.
Step-by-step explanation:
Joey needs more than 72 hot dogs in 10 minutes to break his own record.That means Joey needs to eat at least 73 hot dogs in 10 minutes.
After 1 minute Joey has eaten = 10 hot dogs.
In remaining 9 minutes balance hot dogs = 73-10 =63
Therefore per minute hot dogs to be eaten = 63/9 =7
So answer is 7 hot dogs per minute to be eaten.
Joey needs to eat 7.00 hot dogs per minute for the next 9 minutes to break his own record.
To break his record, Joey Chestnut needs to eat more than 72 hot dogs in 10 minutes. After the first minute, he has already eaten 10 hot dogs. So, he has 9 minutes left to eat the remaining hot dogs needed to break the record, which is 72 - 10 = 62 hot dogs.
To find out how many hot dogs per minute Joey needs to eat for the next 9 minutes, we divide the remaining number of hot dogs by the remaining time:
Hot dogs per minute = Remaining hot dogs / Remaining time
Hot dogs per minute = 62 hot dogs / 9 minutes
Hot dogs per minute ≈ 6.89 hot dogs per minute
Therefore, Joey needs to eat 7.00 hot dogs per minute for the next 9 minutes to break his own record.
It's important to note that Joey needs to eat more than this calculated rate per minute to ensure he breaks his record, as he cannot consume a fraction of a hot dog. So, he should aim to eat at least 7 hot dogs per minute to secure his victory.
Which of the following values of x makes the rational expression below undefined?
Problem : 16-x/7+x
A. 7
B. -7
C. 16
D. -16
Answer: The correct option is (B) -7.
Step-by-step explanation: We are given to select the correct values of x that make the following rational expression undefined :
[tex]E=\dfrac{16-x}{7+x}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that
a rational expression is undefined at the points where the denominator becomes zero.
Therefore, the expression (i) will become undefined when
[tex]7+x=0\\\\\Rightarrow x=-7.[/tex]
Thus, the required value of x where the given expression is undefined is -7.
Option (B) is CORRECT.
A prom ticket at Valley high school cost $160. Bryan is going to save money for his ticket by walking his neighbor's dog for $21 per week. Bryan has already has saved $35. Which inequality could be used to find the minimum number of weeks Bryan must walk the dog to earn enough to pay for his prom ticket? A) 21x + 35 ? 160 B) 21x + 35 ? 160 C) 35x + 21 ? 160 D) 35x + 21 ? 160 5)
Answer:
21x+35[tex]\geq[/tex]160
Step-by-step explanation:
(Amount)(time)+(starting total)[tex]\geq[/tex]total
(21)(x)+(35)[tex]\geq[/tex]160
21x+35[tex]\geq[/tex]160
Answer:
A prom ticket at Valley high school cost $160. Bryan is going to save money for his ticket by walking his neighbor’s dog for $21 per week. Bryan has already has saved $35. Which inequality could be used to find the minimum number of weeks Bryan must walk the dog to earn enough to pay for his prom ticket?
A) 21x + 35 ≥ 160
B) 21x + 35 ≤ 160
C) 35x + 21 ≥ 160
D) 35x + 21 ≤ 160
Step-by-step explanation: THE ANSWER is A
Find x.
A) 2√5
B) 3√5
C) 6
Look at the picture.
ΔABC and ΔDAC are similar. Therefore the sides of the triangles are in proportion:
[tex]\dfrac{AC}{BC}=\dfrac{DC}{AC}[/tex]
AC = x
BC = 5 + 4 = 9
DC = 4
Substitute:
[tex]\dfrac{x}{9}=\dfrac{4}{x}[/tex] cross multiply
[tex]x^2=(9)(4)\\\\x^2=36\to x=\sqrt{36}\\\\\boxed{x=6\to C)}[/tex]
Which of these figures represents a line?
Answer:
Figure C
Step-by-step explanation:
Figure A represents a ray because it has arrow only on one end.
Figure B is a line segment because it stops on both ends.
Figure C is a line because it has arrow on both ends.
Figure D is an angle, because it is 2 rays joined at a vertex.
Anil receieves a 7% commission on computer sales. Last month his computer sales totaled $12,500. How much did Anil earn in commissions last month?
Answer:
$875.00
Step-by-step explanation:
If you want to find out how much commission Anil earned in commissions last month, you must multiply $12,500 by .07 (7%) and it equals $875.00.
Hope that helps!
A museum gift shop manager wants to put 1,578 polished rocks into small bags to sell as souvenirs.If the shop manager wants to put 15 rock in each bag,how many complete bags can be filled?How many rocks will be left over
The number of bags that can be filled completely is 105 and the 3 rocks will be left over.
What is division?Division is the process of dividing a number by a given number.
Given that, the number of rocks is 1578 and the number of rocks in each bag is 15.
To find the number of bags, divide the number of total rocks by the number of total rocks in each bag:
1578/15
= 105.2
≈ 105
Now, the number of rocks in 105 bags is:
105 ×15
= 1575
So, the number of rocks left is:
1578 - 1575
= 3
Hence, the number of bags that can be filled completely is 105 and the 3 rocks will be left over.
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Which parachute has a slower decent: a red parachute that falls 0 feet in seconds or a blue parachute that falls 2 feet in seconds? Math problem
7 3/5 - 4 4/5 because I don’t know what to do with my life anymore :,)
Answer:
14/5 or 2 4/5
Step-by-step explanation:
7 3/5 = 38/5
4 4/5 = 24/5
38/5 - 24/5 = 14/5 = 2 4/5
Which expression is equivalent to the square root of -80?
Answer:
sqrt(-80) = 4sqrt(5)i
Step-by-step explanation:
Likely a list of answers should be provided. There are all kinds of possible answers (well 2 perhaps).
Begin by factoring 80 into prime factors.
80: 2*2*2*2*5
For ever pair of 2s, one can be taken outside the square root sign. The other one just disappears.
sqrt(80) = sqrt(2 * 2 * 2 * 2 * 5)
For every pair 2 is taken out of the root sign and the other forgotten
sqrt(2 * 2 * 2 * 2 * 5) = 2 * 2 * sqrt(5) = 4 sqrt(5)
The sqrt(-80) = 4sqrt(5)*sqrt(-1)
There is no real number that can be written as the sqrt(-1). So a number has been defined into existence. sqrt(-1) = i It's a definition, not a real number.
So the end result is sqrt(-80) = 4sqrt(5)i
Ryan has three sticks of lengths 6 inches, 10 inches, and 8 inches. He wants to join the three sticks to form a right triangular base for a model. Discuss whether these sticks form a right triangle. EXPLAIN
Answer:
yes
Step-by-step explanation:
for the sticks to form a right triangle, the 3 sticks' lengths must comply w the Pythagoras theorem: hypothesis^2 = first side^2 + second side^2
hypothesis is the longest length so its 10
10^2 = 100 = 36 + 64 = 6^2 + 8^2
so the 3 sticks will form a right triangle
Answer:
6^2+8^2=10^2 so yes
Step-by-step explanation:
In order to test a triangle with lengths 6, 8 and 10 inches is right-angle or not, the Pythagoras equation should be used: a^2+b^2=c^2.
As 6^2+8^2=10^2 so yes, the three sticks will form a right-angle triangle.
Simplify the expression where possible.
(r ^-3 s^2 t) ^4
[tex]Use\\\\(ab)^n=a^nb^n\\\\ (a^n)^m=a^{n\cdot m}\\-------------------\\\\\left(r^{-3}s^2t\right)^4=\left(r^{-3}\right)^4\left(s^2\right)^4(t)^4=r^{(-3)(4)}s^{(2)(4)}t^4\\\\=\boxed{r^{-12}s^8t^4}\to\boxed{\dfrac{s^8t^4}{r^{12}}}[/tex]
To simplify the expression (r⁻³ s² t)⁴, the power of a power rule is used to obtain the result r⁻¹² s⁸ t⁴.
To simplify the expression (r⁻³ s² t)⁴, we apply the power of a power rule, which states that (ab)c = ab*c. Using this rule, we raise each factor within the parentheses to the fourth power:
r⁻³ raised to the 4th power is r⁻¹²s² raised to the 4th power is s⁸t raised to the 4th power is t⁴Therefore, the simplified expression is r⁻¹² s⁸ t⁴.
If x + y is rational, must x and y each be rational?
A) Yes; because the sum of rationals is rational.
B) No; because the sum of irrationals is always irrational.
C) No; because x and y could be additive inverses of each other.
D) Yes; because x and y must be integers, and integers are rational.
Answer:
c
Step-by-step explanation:
Option (C) No; because x and y could be additive inverses of each other is correct.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The expression is x + y
The expression can be defined as the combination of constants and variables with mathematical operators.
If x + y is rational, must x and y each can be or cannot be rational because x and y could be additive inverses of each other.
As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
Thus, option (C) No; because x and y could be additive inverses of each other is correct.
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Ray is buying some ginger roots to brew some fresh ginger ale. The price of the ginger roots is GG, and Ray has a coupon for 10% off. The expression 0.9G represents the price Ray pays for the ginger roots after using the coupon. What does 0.9 represent in this context?
Answer:
0.9 represents the amount of the original price he is paying. i.e 0.9 of the original price equals the sales price
Step-by-step explanation:
Answer:
C The percent, as a decimal, of the original price that Ray pays
Step-by-step explanation:
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
Identify the radical expression of 51/^3.
Answer: D
Step-by-step explanation:
When dealing with a an exponent in fraction form:
the top number represents the exponent. the bottom number represents the root.[tex]5^{\frac{1}{3}} = \sqrt[3]{5^{1}} = \sqrt[3]{5}[/tex]
please help me with this, image attached.
Answer: x = 9 (choice D)
Assuming this is a geometric kite, then this means that triangle ABD is a reflection over the line BD to get triangle BCD. Furthermore, this points to AB and BC being the same length
AB = BC
3x - 5 = 22 .... substitution
3x - 5+5 = 22+5 .... add 5 to both sides
3x = 27
3x/3 = 27/3 ..... divide both sides by 3
x = 9
Which operation should you perform first when you simplify the expression below? 10 ÷ 2 + 3(8 × 9)= A addition B subtraction C multiplication D division
Can someone help me
Answer:
The call it the Donut Eatting Contest
Step-by-step explanation:
okay the first line on that line is 0 in a min then 1 in a min then 2 in a min then 3 in a min then 4 in a min cause she said how many donuts per min
then on each person that eat that many put a x obove the number
Jim has 15 apples, Susie has 7 oranges, Greg has 3 strawberries, Michelle has 1 banana, Carrie has 5 limes, and Tim has 9 pineapples. If you were to add each individual number in AT&T's address together (2401 W. Grace Street), what would that total be?
Total number of fruits
= 15 apples + 7 Oranges + 3 Strawberries + 1 banana + 5 limes + 9 pineapples
= 15+7+3+1+5+9
= 22+3+1+14
= 25+15
= 40 fruits
The total is 40 fruits which should be sent to (2401 W. Grace Street).
Answer:
The total is [tex]40[/tex] fruits which should be sent to ([tex]2401[/tex] W. Grace Street)
Step-by-step explanation:
Let
x------->the total number of fruits
Find the total number of fruits
[tex]x=15\ apples + 7\ Oranges + 3\ Strawberries + 1\ Banana + 5\ limes + 9\ pineapples[/tex]
[tex]x=15+7+3+1+5+9[/tex]
[tex]x=40\ fruits[/tex]
−4x+3y=−2
y=x−1
i need x and y
Answer:
Rewrite equations:
y=x−1;−4x+3y=−2
Step: Solvey=x−1for y:
y=x−1
Step: Substitutex−1foryin−4x+3y=−2:
−4x+3y=−2
−4x+3(x−1)=−2
−x−3=−2(Simplify both sides of the equation)
−x−3+3=−2+3(Add 3 to both sides)
−x=1
−x
−1
=
1
−1
(Divide both sides by -1)
x=−1
Step: Substitute−1forxiny=x−1:
y=x−1
y=−1−1
y=−2(Simplify both sides of the equation)
Answer:
x=−1 and y=−2
Read this poem: From daisy to daisy The busy bee did fly He looked a bit crazy As he darted through the sky. What is the rhyme scheme of the poem? ABCB ABCD ABAB ABBA
The __[_blank_]__ of two sets A and B is the set of elements that are present in A, in B, or in both A and B.
Enter your answer as the word that correctly fills in the blank in the previous sentence
Answer:
union and the second question is intersection
Step-by-step explanation:
Answer:
The union of two sets A and B is the set of elements that are present in A, in B, or in both A and B.
The intersection of two sets A and B is the set of elements that are present in A, in B.
Perform the indicated operation. (3 + i) + (5 + 7i) =
Answer:
8+8i
Step-by-step explanation:
remove parenthesis
3+i+5+7i
add like terms
8+8i
not sure if you wanted it foiled or like that
PLEEAASSEE HELP!!!!!!!
Answer would be the third option.
Area of a triangle is half of the base times the height. A=(b·h)/2
In the third option the height is 8 ft. and base is 6 ft. which when multiplied together gets you 48. Half of that is 24.
Somebody please help me with this problem!??
We are given that AB ≅ CB and AD ≅ CD.
We know that BD ≅ BD, so ΔABD ≅ ΔCBD by SSS.
Then ∠1 ≅ ∠2 by CPCTC; and ∠3 ≅ ∠4, also by CPCTC.
Since ∠1 ≅ ∠2, BD is the bisector of (∠1+∠2) = ∠ABC.
Since ∠3 ≅ ∠4, BD is the bisector of (∠3+∠4) = ∠ADC.
6.From (5), we know BD is the angle bisector of ∠ABC. ΔABC is isosceles, so the bisector of the apex angle is also an altitude and median. That is, point M on BD and AC must be the midpoint of AC by the definition of a median.
The game room of the youth center needs carpet. The room measures 3 feet by 2 feet on the blue print. If the scale on the blue print 1 foot to 5 yards,what is the actual length of the game room?
Answer:
The actual room measurement is 15 yrds by 10 yrds
Then the length is 15 yrds
Step-by-step explanation:
1 feet is equal to 0.3333 yards
The room measure 3 by 2 feet
Scale on blue print 1 ft to 5 yrds.
That's is to say for every ft in the Blue print...it is 5 yrds real.
So it's multipling factor bis five.
The actual measurement will be
5*(3 by 2) yrds
The actual measurement is 15 yrds by 10 yrds .
But the length is 15 yrds and breadth is 10 yrds