Hi there!
So we know that the two train together is a total of 192 tons and the difference of their weights is 120 tons...
Ok let think...
When we’re looking at the once place, you’ll see a two... this means that the two train both have a ending of 1 since 2 is split into 1...
That would be another clue..
Now let think again...
If it would be 151 and we subtract by 120.. we would get...
[tex]151-120=31[/tex]
Well it ends with a 1 so it would be perfect but we have to see if 151 and 31 together adds up with the total of 192..
[tex]151+31=192[/tex]
This means that train A could be 151 tons or 31 tons and train B can also be wither 151 tons or 31 tons...
What is the result when g+ + 2 is subtracted from 32 - 41
?
10
100
3
03
10
1 3
o
10
7 9
10
9
-3-3 +1
10
0 3 2 - 1
Answer:
6
Step-by-step explanation:
6 is the correct answer because-3-3+1
If $9450 is invested at a rate of 12.5%,
compounded continuously, how much will it
be worth in 20 years?
Answer:
The final balance is $113,645.52.
The total compound interest is $104,195.52.
Step-by-step explanation:
find the perimeter and area of the rectangle with vertices (1, -2), (1, 7), (-3, 7), and (-3, -2)
Answer:
26
Step-by-step explanation:
9+4+9+4=26
Hey guys I need help with this question. Solve the system by substitution: x=-1 and 4x+2y=16
I need help on this :)
Answer:
<
Step-by-step explanation:
Need points :(
Answer:
Step-by-step explanation:
x+23+x=90
2x=67
x=33.5
A circular garden is being designed so that it has a diameter of 15 feet. Fencing needs to be
put up around the garden at a cost of $2.75 per foot of fencing. Fencing can only be bought
in whole feet lengths.
(a) How many feet of fencing should be bought? (b) How much will the fencing cost?
Answer:
15 feet and the cost is $41.25
Step-by-step explanation:
Problem 2
An online retailer advertises the following shipping and handling fees for every order:
Order Amount ($)
0 – 49.99
50 – 75.99
76+
Shipping and Handling ($)
3.95
11.95
5.95
The sales tax in Arizona on online orders is 5.6%. Use this information to answer the following questions.
**Assume that the shipping and handling is added after the sales tax is applied to the order.
Part a)
Using the information above, write an equation that represents the total cost as a function of the order amount in a customer’s “cart”. (Remember: Identify your input and output variables, and use proper notation – I recommend you handwrite your function and add a picture in to this document)
Part b)
Genevieve, who lives in Prescott, has a cart total of $74.50. How much will her total cost be? (Remember: Show all your work for full credit)
Part c)
Rafael, who lives in Tucson, paid $89.20 for his items. How much was his cart total? (Remember: Show all work, and make sure you get all of the answers)
Answer:
Let the 'cart' total is x and total payment is y.
The sales tax is 5.6% added to the 'cart' amount and then shipping and handling fee added.
Part AThere are three intervals as below and function added accordingly:
0 < x ≤ 49.99 ⇒ y = x + 5.6% + 3.95 = 1.056x + 3.9550 ≤ x ≤ 75.99 ⇒ y = x + 5.6% + 11.95 = 1.056x + 11.95x ≥ 76 ⇒ y = x + 5.6% + 5.95 = 1.056x + 5.95Part Bx = 74.50, this falls in the second intervaly = 74.50*1.056 + 11.95 = $90.62 (rounded )Part Cy = 89.20, this is close to the number we got in part B and we assume it is same - the middle interval.
89.20 = 1.056x + 11.951.056x = 89.20 - 11.951.056x = 77.25x = 77.25 / 1.056x = 73.15 (rounded )-----------------------------------------
Note. Shipping and Handling charges seems incorrectly ordered. If so the answers above all should change accordingly.Bill paid $45in tax on a laptop that cost $500. What percent sales tax did Bill pay?
Answer:
9%
Step-by-step explanation:
9% of 500 is 45
SOMEONE SAVE ME FROM FAILING PLEASE
Answer:
Ok 19$ fortnite card. Who wants it!, and yes I am giving it away, and remember, share, share, share, and trolls, don't get blocked!
Step-by-step explanation:
Answer:
y - 3 = -2(x + 4)
!! IMPORTANT !! WILL GIVE BRAINLIEST !!
Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out 10-in squares from each corner. The length of the original piece of cardboard is 20 inches more than the width. If the volume of the box is 1250 in^3, determine the dimensions of the original piece of cardboard.
(figure of the problem is shown in attached picture)
The dimensions of the original piece of cardboard are _ inches by _ inches.
!! PLEASE HELP !! THANKS !!
Answer:
25 in by 45 in.
Step-by-step explanation:
The length of the box will be x + 20 - 10 - 10 = x
The width of the box will be x - 10 - 10 = x - 20
The height of the box will be 10
So the volume = length x width x height
= x(x - 20)10 = 1250
= [tex]10x^{2} - 200x = 1250[/tex]
[tex]10x^{2} -200x - 1250 = 0[/tex]
[tex]10(x^{2} -20x - 125)\\[/tex] = 0
10(x + 5)(x - 25) =0
x = -5 x = 25
- 5 must be discarded since a length cannot be negative.
Therefore x = 25 in = width of piece of cardboard
x + 20 = 25 + 20 = 45 in = length of piece of cardboard
6. 5x + 3y = 22
5x – 2y=2
Answer:
the answer would be (2,4)
x=2 y=4
Answer:(2,4)
Step-by-step explanation: n o t h a n k y o u
To investigate whether there is a difference in opinion on a certain proposal between two voting districts, A and B, two independent random samples were taken. From district A, 35 of the 50 voters selected were in favor of the proposal, and from district B, 36 of the 60 voters selected were in favor of the proposal. Which of the following is the test statistic for the appropriate test to investigate whether there is a difference in the proportion of voters who are in favor of the proposal between the two districts (district A minus district B)? A. 35-36 A 50 B. 35-36 0.7 0.6 V 50 0 + 60 C. 0.7-0.6 (0..) (.x) (+) 0.7-0.6 D. V(0.7)(0.6) (Hot 50+60 0.7 -0.6 E. (0.7) (0.6) VE 60
Answer:
C: t= x1`-x2`/√p^q^(1/n1 +1/n2)
0.7−0.6/(0.65)(0.35)√(1/50+1/60)
Step-by-step explanation:
The options given are
A
35−36/ 35/√50+3660
B
35−36/0.7/√50+0.660
C
0.7−0.6/(0.65)(0.35)√(1/50+1/60)
D
0.7−0.6/(0.7)(0.6)/√(1/50+1/60)
E
0.7−0.6/(0.7)(0.6)/√150+160
↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔
This is a test hypothesis about difference of means between two proportions.
The test statistic used is
t= x1`-x2`/√p^q^(1/n1 +1/n2)
x1`= 35/50= 0.7
x2`= 36/60= 0.6
so
x1`-x2`
= 35/50-36/60
= 0.7-0.6
p^= 35+36/50+60= 71/110= 0.645= 0.65
q^= 1-p^= 1-0.65= 0.35
p^q^= (0.65) (0.35)
n1= 50 and n2= 60
therefore √1/n1 +1/n2= √1/50+1/60
Now Putting the values in the test statistics we get
t= x1`-x2`/√p^q^(1/n1 +1/n2)
0.7−0.6/√(0.65)(0.35)(1/50+1/60)
Hence C is the correct option
Using the z-distribution, it is found that the test statistic for the appropriate test to investigate whether there is a difference in the proportion of voters who are in favor of the proposal between the two districts is given by:
[tex]z = \frac{0.1 - 0}{0.0906}[/tex]
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference between the proportions, that is, the subtraction is zero, hence:
[tex]H_0: p_A - p_B = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference between the proportions, that is, the subtraction is not zero, hence:
[tex]H_1: p_A - p_B \neq 0[/tex]
What is the mean and the standard error for the distribution of the difference of proportions?First, we find the mean and the standard error for each proportion:
[tex]p_A = \frac{35}{50} = 0.7[/tex]
[tex]s_A = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648[/tex]
[tex]p_B = \frac{36}{60} = 0.6[/tex]
[tex]s_B = \sqrt{\frac{0.6(0.4)}{60}} = 0.0633[/tex]
Then, for the difference:
[tex]\overline{p} = p_A - p_B = 0.7 - 0.6 = 0.1[/tex]
[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.0648^2 + 0.0633^2} = 0.0906[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{0.1 - 0}{0.0906}[/tex]
To learn more about the z-distribution, you can take a look at https://brainly.com/question/16313918
cuántos galones estadounidensesb se necesitan para llenar un depósito que mide 24 in de ancho 27 in de largo y 18 in de alto?
Answer:
se necesitan aprox 50 galones para llenarlo por completo
True or false
what is always true about an isosceles triangle
1.one of the angles is 90 degrees
2.at least two angles are congruent
3.all of its sides are congruent
4.at least two sides are congruent
5.all of its angles are congruent
Please help with this slope problem!!
please help me with geometry question :)
Given:
The graph of a triangle ABC.
A line is parallel to AC and passes through the point D.
To find:
The point at which the intersection of this parallel line be with the line BC.
Solution:
From the given figure it is clear that A(1,7), B(9,7), C(9,1) and D(5,7).
Slope of AC is
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\dfrac{1-7}{9-1}[/tex]
[tex]Slope=\dfrac{-6}{8}[/tex]
[tex]Slope=\dfrac{-3}{4}[/tex]
Slope of parallel lines are same. So, the slope of parallel line is also [tex]-\dfrac{3}{4}[/tex].
The parallel line passes through D(5,7) with slope [tex]-\dfrac{3}{4}[/tex]. So, the equation of the line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-7=-\dfrac{3}{4}(x-5)[/tex]
[tex]y=-\dfrac{3}{4}(x)+\dfrac{15}{4}+7[/tex]
[tex]y=-\dfrac{3}{4}(x)+\dfrac{28+15}{4}[/tex]
[tex]y=-\dfrac{3}{4}(x)+\dfrac{43}{4}[/tex] ...(i)
From the given graph it is clear that the line BC is a vertical line. So, the x-coordinates of all the points lie on BC are the same, i.e., 9.
Putting x=9, we get
[tex]y=-\dfrac{3}{4}(9)+\dfrac{43}{4}[/tex]
[tex]y=\dfrac{-27}{4}+\dfrac{43}{4}[/tex]
[tex]y=\dfrac{16}{4}[/tex]
[tex]y=4[/tex]
Therefore, the point at which the intersection of this parallel line be with the line BC is (9,4).
12. If AC=4 and CD=4 13 in the figure below, what is cos x? B 45 45° А Xº D A. 2 13 B. 3 12 C. 2 13 D. 2 E. 1 4 C С 4-13
Answer:
c
Step-by-step explanation:
Out of 4/10, 3/4, 2/5, and 1/3 which fraction is the biggest?
Answer:
3/4
Step-by-step explanation:
3/4 = .75
4/10 = .40
2/5 = .40
1/3 = .33
Answer:
3/4 is greater then 4/10 and 2/5 is greater then 1/3 and that's all I know
Step-by-step explanation:
A radar unit tracks a target which may use interference. If the target does not employ interference, then during on surveillance cycle the unit may detect it with probability p0. If it employs interference, then the unit may detect it with probability p1 < p0. The probability that the interference will be used in one cycle is p and does not depend on the way and time the interference was used in other cycles. Find the probability that the target will be detected at least once in n surveillance cycles.
Answer:
The probability that the target will be detected at least once in n surveillance cycles is given by the following expression: [tex]1 - (1-p_0+p(p_1-p_0))^{n}[/tex]
Step-by-step explanation:
For each surveillance cycle, there are only two possible outcomes. Either it detects the target, or it does not. Cycles are independent. This means that the binomial probability distribution is used to solve this question:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of detecting a target:
p0 of 1-p (without interference)
p1 of p(with interference). So
[tex]\pi = p_0(1-p) + p_1p = p_0 + p(p_1-p_0)[/tex]
Find the probability that the target will be detected at least once in n surveillance cycles.
This is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}[/tex]
[tex]P(X = 0) = C_{n,0}.(p_0+p(p_1-p_0))^{0}.(1-p_0+p(p_1-p_0))^{n} = (1-p_0+p(p_1-p_0))^{n}[/tex]
So
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - (1-p_0+p(p_1-p_0))^{n}[/tex]
The probability that the target will be detected at least once in n surveillance cycles is given by the following expression: [tex]1 - (1-p_0+p(p_1-p_0))^{n}[/tex]
Is borrowing money a
Delegated power
Reserved power
Concurrent power
Answer:
C. concurrent power
Step-by-step explanation:
Such powers are called concurrent powers. These include the power to tax, spend, and borrow money. State governments operate their own judicial systems, charter corporations, provide public education, and regulate property rights.
DI
A rectangle measures x cm
by (x + 4)cm.What are the width and length of the rectangle?
Answer:
gggghgbvbbnc niutuyyttttt
Please help thank you if you do
4/5 z = 2/7
7×4×z = 2× 5 (move the denominator of both fractions to the other side)
28z = 10
z = 10 ÷ 28
z = 5/14
Answer: The answer your looking for is 5/14
Step-by-step explanation: You want to leave the variable alone, so you divide both sides by 4/5. If you divide 2/7 by 4/5, you get 5/14.
Wat is the word form for 8.008
Answer:
8.008 in Words: eight and eight thousandths in (US) American English, Number Converted (Spelled Out) to Words.
Select all sports that apply (you may select more than one). The underhand serve is used in...
Badminton
Tennis
Soccer
Pickleball
Voleybal.
Which graph represents the solution to the compound inequality?
–6 < 3x – 12 ≤ 9
A number line with an open circle at 2 with a bold line pointing to the left. A point at 7 with a bold line pointing to the right.
A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.
A number line with an open circle at negative 6 with a bold line pointing to the left. A point at 9 with a bold line pointing to the right.
A number line with an open circle at negative 6 with a bold line pointing to the right ending at the point at 9.
Answer:
B) The second one. A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.
Step-by-step explanation:
B) The second one. A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.
Answer:
B
Step-by-step explanation:
edge 2022
What is the y-intercept for y = 4x + 7
Answer: -7 is the y intercept
Step-by-step explanation:
Find the value of x.
Answer:
64
Step-by-step explanation:
Answer:
The answer is 61˙
Step-by-step explanation:
The total trapezoid is supposed to equal to 360
100 + 130 + 66 + x
230 + 66 + x
299 + x
360 - 299 = 61
What is the value (3/4)3
Answer:
9/4
Step-by-step explanation:
Answer:
-(11/4)
Step-by-step explanation:
Which expression is equivalent to 4f/3÷1/4f
Which of the following expressions represent a value greater than 4/5 ? A: 4/5 x 3/3. B: 4/5 x 1/2. C: 4/5 x 5/4 D: 4/5 x 4/5
Answer:
C = 1.
Step-by-step explanation:
A: 4/5 x 3/3 (1) = 4/5, Incase you didn't know, 3/3 means 1 whole because it is full. We can tell by just looking that this doesn't represent a value greater than 4/5, In fact, it's equal to 4/5.
B: 4/5 x 1/2 = 2/5 <--- By not using any calculator or math, we already know that 4/5 is greater than 2/5 and that 2/5 is less than 4/5. This is not the correct answer because it's less than 4/5.
C: 4/5 x 5/4 = 1. This could be a correct answer choice because one is greater than 4/5. If your confused, think of it like this, 5/5 is equal to one and then there's 4/5. Then you compare and contrast and see that 5/5 is greater than 4/5 so this is a correct answer choice.
D: 4/5 x 4/5 is equal to 16/25. In my opinion, I wouldn't choose this answer choice because though the numbers are bigger than 4/5, 4/5 IS equal to 16/25, so it wouldn't really be a correct answer choice.
Hope this helped!
