Answer:
see explanation
Step-by-step explanation:
(1)
Using the relationship
distance (d) = speed (s) × time (t)
The freight train leaves the station 1 hour earlier than the passenger train, so
d = 40(t + 1) ← Freight train
d = 50t ← Passenger train
We require to find when they are at the same distance from the station, then equating the 2 equations
50t = 40(t + 1) ← distribute
50t = 40t + 40 ( subtract 40t from both sides )
10t = 40 ( divide both sides by 10 )
t = 4
The passenger train will overtake the freight train after 4 hours
-------------------------------------------------------------------------------------
(2)
let l represent length, then width = l - 32
perimeter (P) = 2l + 2w = 290, that is
2l + 2(l - 32) = 290 ← distribute and simplify left side
2l + 2l - 64 = 290
4l - 64 = 290 ( add 64 to both sides )
4l = 354 ( divide both sides by 4 )
l = 88.5 and w = 88.5 - 32 = 56.5
Then dimensions are 88.5 yards by 56.5 yards
----------------------------------------------------------------------------------
(3)
Plan A : 100 + 15n
Plan B : 25n
When is Plan A better than Plan B , that is
100 + 15n > 25n ( subtract 25n from both sides )
100 - 10n > 0 ( subtract 100 from both sides )
- 10n > - 100
Divide both sides by - 10, reversing the symbol as a result of dividing by a negative quantity.
n < 10
Plan A is better when number of hours (n) is less than 10
Answer:
3. Jeanette can be paid in one of two ways for painting a house. : Plan A; $100 plus $15 per hour; Plan B: $25 per hour. Suppose that a job takes n hours to complete. For what values of n is Plan is Plan A better for Jeanette?
Which expression is the completely factored form of the expression x2 - 3x - 28
(x + 14)(x - 2)
(x + 14)(x + 2)
(x - 7)(x + 4)
(x + 7)(x-4)
Answer:
(x-7)(x+4)
Step-by-step explanation:
PLATO
3x - 4 = -2x +3 what is x
Answer:
3x - 4 = -2x + 3
3x + 2x = 3 + 4
5x = 7
x = 5/7
Step-by-step explanation:
1. move the same term to one side
2. the rest are simply solving equation
5. A television set is sale at P13,499 in cash or on installment terms, P2,500 each
month for the next 6 months at 9% compounded monthly. If you would be the
buyer what would you prefer cash or installment?
If I were the buyer, I would prefer cash payments to paying in instalment.
In order to determine which payment method I would prefer, I would have to determine the future value of the payment in instalment terms.
The formula for calculating future value = A (B / r)
B = [(1 + r)^n] - 1
P2,500 x (1.09^6 - 1) / 0.09 = P18,808.34
Paying in instalments is more expensive.
To learn more about future value, please check: https://brainly.com/question/14640433
What is the equation of the line that is parallel to the
given line and passes through the point (-2, 2)?
Answer:
undefined
Step-by-step explanation:
Two angles of a triangle have measures of 55° and 65°.
Which could not be a measure of an exterior angle of the
triangle?
A. 120
B.125
C.130
D.115
The sum of an interior angle and an exterior angle is 180°. Then the 130° is not an exterior angle of the triangle.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
The two angles of a triangle have measures of 55° and 65°. Then the third angle (x) will be
w + 55° + 65° = 180°
w = 180° - 120°
w = 60°
Let the exterior angle be x, y, and z.
The sum of an interior angle and an exterior angle is 180°. Then we have
[tex]\rm x = 180^o - 55^o = 125^o \\\\y = 180^o - 65^o = 115^o \\\\z = 180^o - 60^o = 120^o[/tex]
More about the triangle link is given below.
https://brainly.com/question/25813512
If i want to build a fence around my rectangular yard, what is the area in fencing if one side is 50 feet long and the other is 80 feet wide?
Answer:
70 feet total
Step-by-step explanation:
Answer:
4,000
Step-by-step explanation:
50•80=4,000
select all the sides lengths that will form a triangle?
A. 14 IN, 5 IN, 9 IN
B. 11 CM, 13, CM, 12 CM
C. 25 MM, 12 MM, 12 MM
D. 10 FT, 24FT, 26 FT
E. 5 YD, 5, YD, 5, YD
F. 18 CM, 46, CM, 26 CM
Thank you! :)
B
Step-by-step explanation:
11CM, 13CM, 12CM forms a triangle
What is the equivalent distance of 60,000 centimeters in kilometers?
1 m = 100 cm
1 km = 1000 m
Enter your answer in the box.
60,000 cm =
km
Answer: it would be 0.6
Step-by-step explanation: why?, because, you must divided 60,000 by 100,000. To get the kilometer 0.6 I hope this helps :), I also took the test!.
Answer:
0.6
Step-by-step explanation:
the answer above is correct
3x+4y=11 x-2y=2 solve the system of equations
Look at pic plz help
Answer:
Mochi is growing quicker.
Step-by-step explanation:
At 3 weeks Mochi was 13 pounds but Kappa was only at 11. Hope this helps! I'd really appreciate brainliest.
Answer:
Mochi
Step-by-step explanation:
by 2 weeks Mochi was at weight 9 while Kappa was at 8 in weight the same time.
Corn chips cost 29.5 cents per ounce. If a bag cost $3.87, how many ounces are in the bag of chips?
Answer:
13.1
Step-by-step explanation:
Answer:
Around 13 ounces
Step-by-step explanation:
Let f(x) = 4x - 1, h(x) = - X-3.
Find (f o h)(-5).
Answer:
(f o h)(-5)=-33
Step-by-step explanation:
Let f(x) = 4x - 1, h(x) = - X-3.
(f o h)=4(-x-3)-1
(f o h)=-4x-12-1
(f o h)=-4x-13
(f o h)(-5)=-4(-(-5))-13
(f o h)(-5)=-20-13
(f o h)(-5)=-33
David measured a line to be 13.5 inches long. If the actual length of the line is 16.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
18.67
Step-by-step explanation:
(l2-l1)/l2 * 100%
where l2=16.6
l1=13.5
Answer:-23
Step-by-step explanation:
Can someone solve this please
Answer:
4. 2.4
5. [tex]0.123 = \frac{123}{1000}[/tex]
6. IV
Step-by-step explanation:
4. 3 < 5, so we don't add a tenth when rounding. Hence the answer is 2.4
5. [tex]0.123 = \frac{123}{1000}[/tex]. Because [tex]123[/tex] isn't divisible by 2 or 5, we know that this is the most simplified form.
6. Putting the I before the V negates the I. So IV = 5 - 1 = 4.
A zoo worker works 189.25 hours in 23 days. If she works the exact same number of hours per day, how many hours does she work each day?
Analyze the diagram below and complete the instructions to follow.
Find a, b and c
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6
A rectangular playground has width of 320 feet and a length of 1280 feet. Brooklyn makes a
scale model of the playground using a scale of 4 cm: 20 feet. What are the dimensions of
Brooklyn's scale model?
please help
Answer:409600
Step-by-step explanation:I multpiled and got 409600
What is the value of X on the parallelogram below?
Jose has 7 mangoes. He wants give then to his 10 friends. How much can each friend get? *
Answer:
it would be 7 divided by 10, so .7 i think?
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
7/10 bc if there are 7 mangos and 10 friends then 10 (the number of friends ) is the amout in all and 7 (the amout of mangos ) is the fraction of the whole that willl be passed out
If Tn =n^+2n. Find third term of the sequence
Answer:
The third term of the sequence Tₙ = n² + 2n is:
T₃ = 15
Step-by-step explanation:
Given
As the sequence is given by
Tₙ = n² + 2n
To determine
The third term of the sequence
The third term of the sequence can be determined by substituting n = 3 in the sequence
Tₙ = n² + 2n
T₃ = (3)² + 2(3)
T₃ = 9 + 6
T₃ = 15
Therefore, the third term of the sequence Tₙ = n² + 2n is:
T₃ = 15
3/4 divided by 1/5 PLEASE ANSWER
Answer:
3.75
Step-by-step explanation:
To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.
Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:
To make the answer to 3/4 divided by 1/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
15/4 = 3.75
The answer is rounded to the nearest four decimal points if necessary.
15/4 is an improper fraction and should be written as 3 3/4.
Answer:
3.75
Step-by-step explanation:
12. How much more energy is released by an earthquake with a magnitude of 8.0
on the moment magnitude scale than one with a 6.0 magnitude?
A 32 times more
B 64 times more
c 2 times more
D. 20 times more
Answer:
Lets conside the order of magnitudeWe have a different of 8.0- 6.0=2.0 An 8 magnitude has 63.09 ×10^15 joules A 6 magnitude has 63.09×10^12 J Which is 1000 times more energy Your answer choices are incorrect I do quizzes and exams if your interestedMicah is twice as old as Richard. Richard is three times as old as Ken. Ken is six years old. How old is Micah?
Answer:
36
Step-by-step explanation:
Ken = 6 yo
6 *3 = 18
Richard = 18 yo
8 * 2 = 36
Micah = 36
The age of Micah is 36 years.
What is arithmetic operation?A subfield of mathematics known as arithmetic operations deals with the study and application of numbers to all other subfields of mathematics. Operations like addition, subtraction, multiplication, and division make up the bulk of it.
These fundamental mathematical operations (+, -, ×, and ÷) that we use every day.
Given age of Ken = 6 years
let age of Micah be m and age of Richard be r
acc. to condition
Micah is twice as old as Richard
m = 2r
Richard is three times as old as Ken
r = 3 ken
r = 3 x 6
r = 18
Richard age is 18 years.
m =2r
m = 2 x 18
m = 36 years
Hence age of Micah is 36 years.
Learn more about arithmetic operation;
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What is the square root of 7?
Answer:
2.64575
Step-by-step explanation:
Which of the following is the solution of the system of equations shown?
(2,-2)
(2,2)
(-2,2)
(-2,-2)
Answer:
(-2,-2)
Step-by-step explanation:
The graph doesn't have unit marks, but you can see that the x- and y-coordinates of the intersection are equal, and they are both negative.
(-2,-2)
If y varies inversely with x, and y = 48 when x = 6, find y when x = 18.
Answer:
y = 16
Step-by-step explanation:
Given that,
y varies inversely with x i.e.
[tex]y=\dfrac{k}{x}[/tex]
Where
k is a constant of proportionality
Put y = 48 and x = 6 in the above equation to find k.
So,
[tex]k=48\times 6\\\\k=288[/tex]
Now put k = 288 and x = 18 in the above equation to find y.
[tex]y=\dfrac{288}{18}\\\\y=16[/tex]
So, the value of y is equal to 16 when x = 18.
Answer:
16
Step-by-step explanation:
The age at which small breed dogs are fully housebroken follows a Normal distribution with mean ms = 6 months and standard deviation ss = 2.5 months. The age at which large breed dogs are fully housebroken follows a Normal distribution with mean mL = 4 months and standard deviation sL = 1.5 months. Let xS – xL represent the sampling distribution. Be sure show all work and conditions. Let the sample size for both sets be 25 dogs. Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.
Answer:
This measure is just 0.17 standard deviations from the mean, so we should not be surprised.
Step-by-step explanation:
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If the z-score is lower than -2, or higher than 2.5, the score of X is considered unusual.
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
Let xS – xL represent the sampling distribution.
Mean s 6, means L 4. So
[tex]\mu = 6 - 4 = 2[/tex]
Standard deviation s is 2.5, for L is 1.5. So
[tex]\sigma = \sqrt{2.5^2+1.5^2} = 2.915[/tex]
Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.
We have to find the z-score for X = 2.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.5 - 2}{2.915}[/tex]
[tex]Z = 0.17[/tex]
This measure is just 0.17 standard deviations from the mean, so we should not be surprised.
Plz help me! I’m not sure how to do these!
Answer:
Step-by-step explanation:
Wait where is the picture
In Ellen's math class, there are 2 boys for every 3 girls. If there are 21 girls in the class, how many boys are in the class?
Answer: 14 boys
Step-by-step explanation:
ratio 2:3
7 divided by 21 = 3, so 7 times 2 equals 14
Answer:
14
Step-by-step explanation:
Divide 21 by 3, you get 7. Multiply 7 by 2, you get 14.
When x=1, then y= ___
Please I need the answer soon.
Answer:
When x = 1, y = -2
Step-by-step explanation:
The equation of this line is y = x - 3, so when x = 1, y would equal 1 - 3 or -2.
Answer:
x=1, then y= -2