Train A's speed = x
Train B's speed = x + 10
4.5(x + x + 10) = 432
Distribute both sides by 4.5
x + x + 10 = 96
Combine like terms.
2x + 10 = 96
Subtract 10 from both sides.
2x = 86
Divide both sides by 2
x = 43
Train A = x = 43 mph
Train B = x + 10 = 43 + 10 = 53 mph
Speed is the ratio of distance and time.
Speed = Distance /Time
Distance = Speed x Time
If Train B travels 10 mph faster than Train A.
The speed of train A is 48 mph.
The speed of train B is 58 mph.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
Example:
The speed of a car moving 4km in 2 hours is 2km per hour.
We have,
Train A:
Speed = x
Train B:
Speed = x + 10
Speed = Distance / Time
Distance = Speed x Time
At time = 4.5 hours, the train is 432 miles apart.
This can be written as,
Distance = (Speed of train A + Speed of train B) x Time
432 = (x + x + 10) x 4.5
Divide both sides by 4.5.
432 / 4.5 = 2x + 10
96 = 2x + 10
Subtract 10 on both sides.
96 - 10 = 2x
86 = 2x
Divide both sides by 2.
2x = 96
x = 96/2
x = 48
Now,
x + 10 = 48 + 10 = 58
Thus,
If Train B travels 10 mph faster than Train A.
The speed of train A is 48 mph.
The speed of train B is 58 mph.
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my cashapp is $alanajackson
Answer:
uhh okay what's the question
Given f (x) = 2x + 1 , find x when f (2) = 9
A 4
B 19
C 13
D 9
Answer:
Step-by-step explanation:
2x + 1 = 9
2x = 8
x = 4
answer is A
*
(1 Punto)
(7.006 x 1041) x (5.09 x 1022)
OA 3.566 x 1041
OB 3.566 x 1062
ОС
3.566 x 1063
D
3.566 x 1064
This question was not written properly
Complete Question
(7.006 x 10⁴¹) x (5.09 x 10²²)
OA) 3.566 x 10⁴¹
OB) 3.566 x 10⁶²
ОС) 3.566 x 10⁶³
OD)3.566 x 10⁶⁴
Answer:
D. 3.566 × 10⁶⁴
Step-by-step explanation:
We are asked to solve:
(7.006 x 10⁴¹) x (5.09 x 10²²)
When we multiply this together
= (7.006 × 5.09 ) × 10(⁴¹+²²)
= (7.006 × 5.09 ) × 10⁶³
= 35.66054 × 10⁶³
= 3.566054 ×10⁶⁴
Approximately = 3.566 × 10⁶⁴
Should the painter use stencil one or stencil two for her project? Why? Explain in terms of rigid transformations.
Answer: The painter should use stencil one for her project because a series of rigid transformations maps stencil one to the original pattern. The shapes are the same because you don’t have to deform stencil one to match the original shape.
Step-by-step explanation:
i just got a 100
A chain weighs 9 pounds per foot. How many ounces will 5 inches weigh? Round your answer to the
nearest tenth as needed.
Answer:
60 ounces.
Step-by-step explanation:
A chain weighs 9 pounds per foot.
We are to find the number of ounces 5 inches weigh.
First we find how many feet are in 5 inches.
1 foot = 12 inches
how many feet? = 5 inches.
Cross-multiplying gives;
[tex]\frac{5}{12} * 1 = \frac{5}{12}[/tex] feet
1 foot of the chain = 9 pounds
[tex]\frac{5}{12}[/tex] feet = how many pounds?
Cross-multiplying gives;
[tex]\frac{5}{12} * 9 = 3.75[/tex] pounds
1 pound = 16 ounces
3.75 pounds = how many ounces?
Cross-multiplying gives;
[tex]\frac{3.75 * 16}{1} = 60[/tex] ounces.
The number of ounces will 5 inches weigh is 66.667 oz.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A chain weighs 9 pounds per foot.
We know that
1 foot = 12 inches.
1 pound = 16 ounces.
Now based on this,
= 5 inches 1/12 x foot/ inches x 10 x pound/ feet x 16
= 5 x 10 x 16 / 12
= 66.667 oz.
Hence, the chain weight 66.6667 oz.
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Anika was shown a reduction of a complex figure.
2 complex figures. Side A corresponds to a side with length 35 centimeters. Side B corresponds to a side with length 25 centimeters. A side with length 15 centimeters corresponds to a side with length 60 centimeters.
Figures not drawn to scale.
What can Anika conclude about the scale factor and missing measurements? Select three options.
The scale factor is 0.60.
The scale factor is 0.25.
The length of side A is 8.75 cm.
The length of side A is 21 cm.
The length of side B is 6.25 cm.
Answer:
Scale factor is .25.
Step-by-step explanation:
Side A is .25 times 35 which is 8.75. Side b is .25 (25)= 6.25
Answer:
B: The scale factor is 0.25.
C: The length of side A is 8.75 cm.
E: The length of side B is 6.25 cm.
Step-by-step explanation:
To find the answer of 8.75 in C multiply 35 x .25
To find E multiply 25 by .25.
And the scale factor is .25 becuase the original is 1/4 the new perimeter.
Sally used 3/4 cup of milk to make pancakes, 5/8 cup of milk to make scrambled eggs, and 1/2 cup of milk to make biscuits. How many cups of milk did Sally use altogether?
Answer:
1 7/8 cups
Step-by-step explanation:
This is a addition problem. You need to add three fractions, so you need a common denominator.
The LCD is 2, 4, and 8 is 8.
3/4 + 5/8 + 1/2 =
= 6/8 + 5/8 + 4/8
= 15/8
= 1 7/8
Answer: 1 7/8 cups
Find the sum ( u2-6uv+5v2)+3u2+2uv
Answer:
4u2−4uv+5v2
Explanation:
Answer:
u2-6uv +5v2 +3u2+ 2uv
= 4u2 -4uv +5v2
How many places do you need to move the decimal to the left to write the number below in the scientific notation?
Answer:
10
Step-by-step explanation:
in scientific notation a number cant be greater than 10. so you have to move the decimal to make it under 10.
Find the probability for one roll of a number cube.
P(number is not 5)
A. 0
B. 5/6
C. 1/6
D. 1
Answer:
for 5 probability is 1/6
for not a five = 1-1/6 = 5/6
Step-by-step explanation:
Please see picture
What type(s) of symmetry does this figure have?
A. Both rotational and reflectional
B. This figure is not symmetrical.
C. Rotational
D. Reflectional
(2 points)
A polynomial is divided by (x - 2), the quotient is (x – 6), and the remainder is -6
What is the original polynomial
=========================================================
Explanation:
n = numerator polynomial = unknown (what we want to solve for)
d = denominator polynomial = x-2
q = quotient = x-6
r = remainder = -6
Based on that, we can say,
n/d = q + r/d
n = q*d + r ... multiply every term by d
n = (x-6)(x-2) + (-6) .... substitution
n = x^2-8x+12-6
n = x^2-8x+6
Dividing (x^2-8x+6) over (x-2) leads to a quotient of (x-6) and a remainder of -6.
If F(x)=4x-3, evaluate the following a. F(5) b. F(-4)
Answer:
F(5) = 17, F(4) = -19
Step-by-step explanation:
F(5) = 4(5) - 3
F(5) = 20 - 3
F(5) = 17
F(4) = 4(-4) - 3
F(4) = -16 - 3
F(4) = -19
Is 0.843 less than 0.846
Answer:
0.003
Step-by-step explanation:
6-3 =3 and 4-4 = is 0 and 8-8= 0 so the answer is 0.003
7р + 8р - 12 = 59 what would this be
Answer:
4.7333....................
Step-by-step explanation:
First combine like-terms. The equation now is 15p-12=59. Next add 12 to both sides. The equation now is 15p=71. Last divide both sides by 15. Now the equation is 4.73333....
Identify the function's local and absolute extreme values, if any, saying where they occur. f(x) = x^3 + 4x^2 - 3x - 4 A) local maximum at x = -1/3; local minimum at x = 3 B) local maximum at x = -1; local minimum at x = 1 C) local maximum at x = -3; local minimum at x 1/3 D) local maximum at x = -1; local minimum at x = 1
Answer: C) local maximum at x = -3; local minimum at x = 1/3
Step-by-step explanation:
Given the function:
f(x) = x^3 + 4x^2 - 3x - 4
Set f'(x) = 0
f'(x) = 3x² + 8x - 3
f'(x) = 0
3x² + 8x - 3 = 0
Using the quadratic function calculator :
x = - 3 or x = 1/3
Critical points = - 3 ; 1/3
To find the maximum and minimum points :
f''(x) = 6x + 8
Substitute the values of X in
At x = - 3
6(-3) + 8
-18 + 8 = - 10
At x = 1/3
6(1/3) + 8
2 + 8 = 10
Value of f''(x) at - 3 is negative, hence - 3 is the maximum point
Value of f''(x) at 1/3 is positive , hence 1/3 is the minimum point
What is the decimal form of 92/125 !???
Answer:
0.736
Step-by-step explanation:
Answer:
0.736
Step-by-step explanation:
decimal form of 92/125
Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins to solve the equation for h but runs out of time. Her partial work is shown below:
Answer: ( L+W)
Step-by-step explanation:
midpoint of (5, 8) (-1, -4)
Answer:
(2,2)
Step-by-step explanation:
mid point formula: x1+x2/2 y1+y2/2
5+(-1)=4/2=2
8+(-4)=4/2=2
(2,2)
Which of the following quadrilaterals contains opposite angles that are congruent? Select all that apply.
trapezoid
isosceles trapezoid
parallelogram
rhombus
rectangle
square
The quadrilaterals that have opposite angles equal are parallelograms, Rhombus, Rectangle, and Square. The correct options are C, D, E, and F.
What are Quadrilaterals?Quadrilaterals are polygons with four sides, four vertices, and four angles.
The quadrilaterals that have opposite angles equal are parallelograms, Rhombus, Rectangle, and Square.
The opposite sides and opposite angles are equal in a parallelogram.
All sides are equal and opposite angles are equal in a Rhombus.
Opposite sides are parallel and equal, and all angles measure 90 degrees in a Rectangle.
All sides and angles are equal in a square.
Therefore, The correct options are C, D, E, and F.
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Find the product. (-10) • (-10) • (-10)
Answer:
-1000
Step-by-step explanation:
-10 times -10 makes 100 as negative cancel each other
100 times -10 make -1000
Answer:
-1000
Step-by-step explanation:
-(10x10x10)
-10^3
-1000
What is the coefficient of 9(14) P ?
Answer:
the answer of this question is
the coffiecent is p
You work at a coffee shop and they pay you $12.80 an hour. If you work 34
works this week, what is your straight-time pay?
A. $435.20
B. $438.80
C. $442.20
D. $444.60
E. $446.40
F. $448.20
Answer:
answer is A $435.20
Step-by-step explanation:
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Christine runs 4 miles in 30 minutes. At the same rate, how many miles would she run in 48 minutes?
Answer:
she would run 6.4 miles in 48 min
Step-by-step explanation:
hope it helps
Zander and Chloe were comparing the number of texts they send. Zander has already sent 38 texts and says he sends 28 texts per day. Chloe has sent 52 texts already and says she send 26 texts a day. After __ days, Zander and Chloe will have sent the same amount of texts. A. 5 days B. 6 days C. 7 days D. 9 days
Answer:
(C) 7
Step-by-step explanation:
We can create an equation here.
We know that Zander has 38 texts. He sends 28 texts per day.
Let us represent x as the number of days.
This can be represented as an expression, [tex]38+28x[/tex].
Same logic for Chloe.
52 texts already, 26 texts per day: [tex]52+26x[/tex]
If their texts are equal, both expression are equivalent to each other.
[tex]38+28x = 52+26x[/tex]
We can simplify this equation to get x on one side of it.
Subtract 38 from both sides:
[tex]28x = 14+26x[/tex]
Subtract 26x from both sides:
[tex]2x =14[/tex]
Divide both sides by 2:
[tex]x = 7[/tex]
So, Chloe and Zander will have sent the same amount of texts after 7 days.
Hope this helped!
You asked a sample of individuals what kind of animal is their favorite. Of the 167 individuals in your sample, 52 of them answered "dog". Which of the following gives a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog
a. (23.4%, 38.9%)
b. (16.8%, 32.3%)
c. (3.1696, 3.2696)
d. (2.21%,4.21%)
Answer:
a. (23.4%, 38.9%)
Step-by-step explanation:
Р = x/∝ = 52/167 = 0.3114
At 95% confidence level
∝ = 1 - 0.95 = 0.05
Zerit = Z0.05/2 = 1.96
Р ± Zerit [tex]\sqrt{P(1-P) / n}[/tex]
= 0.3114 ± 1.96 [tex]\sqrt{0.3114(1-0.3114) / 167}[/tex]
= 0.3114 ± 0.0702
= 0.2412 or 0.3816
= 24.1% or 38.1%
Closest Option = 23.4%, 38.9%
A 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)
The formula for calculating the confidence interval based o proportion is expressed according to the formula:
[tex]p\pm z\sqrt{\frac{p(1-p)}{n} }[/tex]
z is the z-score at 95% confidence interval
p is the proportion
n is the sample size
Given the following parameters
p = 52/167 = 0.31
z = 1.96
n = 167
Substitute the given parameters into the formula to have:
[tex]CI=0.31 \pm 1.96\sqrt{\frac{0.31(1-0.31)}{167} } \\CI=0.31 \pm 1.96\sqrt{\frac{0.31(0.69)}{167} } \\CI=0.31 \pm 1.96(0.035)\\CI=0.31\pm 0.0701\\CI = (0.31-0.0701, 0.31+0.0701)\\CI=(0.234, 0.389)[/tex]
Hence a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)
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7900 dollars is placed in an account with an annual interest rate of 5.25%. To the
nearest tenth of a year, how long will it take for the account value to reach 34300
dollars?
Answer:
x=28.7
Step-by-step explanation:
I just answered the question.
Change 84 inches to feet
A group of students was asked about favorite colors, and 20% of the students said that their favorite color is red. There are about 3000 students in the school. If the margin of error is ±2%, what is the range of the number of students who likely say that their favorite color is red? List the number of students from least to greatest.
Answer:
18%:540 20%:600 22%:660
Step-by-step explanation:
18%:540 20%:600 22%:660
20-2=18 20+2=22
The required least to the greatest number of students their favorite color is red is 540 and 660 respectively.
Given that,
A group of students was asked about their favorite colors,
20% of the students said that their favorite color is red.
There are about 3000 students in the school.
The margin of error is ±2%,
To determine what is the range of the number of students who likely say that their favorite color is red
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Total number of students = 3000
Number of students like red color = 20% of 3000 = 0.20 * 3000 = 600
the margin of error ±2% of 3000 = ± 0.02 * 3000 = ± 60
Least number of students their favorite color is red = 600 - 60 = 540
Greatest number of students their favorite color is red = 600 + 60 = 660
Thus, the required least to the greatest number of students whose favorite color is red is 540 and 660 respectively.
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2(4x - 3) 2-3(3x) + 5x
Answer:
12x-12
Step-by-step explanation:
I believe this is the correct answer, but correct me if I'm wrong.