Answer:
x = 16
Step-by-step explanation:
[tex] \frac{2x - 5}{x + 8} = \frac{22.5}{20} [/tex]
Cross multiply
[tex] (2x - 5)*20 = (x + 8)*22.5 [/tex]
[tex] 40x - 100 = 22.5x + 180 [/tex]
Collect like terms
40x - 22.5x = 100 + 180
17.5x = 280
Divide both sides by 17.5
x = 280/17.5
x = 16
Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below. The figure shows a right triangle with legs marked 70 and 24.
Answer:
74
Step-by-step explanation:
D
Question 3
3 pts
Zion has 152 shares of company LMN stock. LMN issued dividend payments every
quarter that totaled $1.3 per share for the entire year. The current price for LMN
stock is $34.97 per share. What is the current dividend yield for LMN stock?
write the following mathematical expressions in simplest form 3.5 m + 2 (0.6 M - 5) + 4
Answer:hamburger
Hamburger
Step-by-step explanation:hamburger
Hamburger
Give the value of x. Explain how you got your answer OR which theorem you used.
100+75+70+x= 360° (sum of interior angles of quadrilateral)
x= 360-245= 115°
A foreign-car dealer with warehouses in New York and Baltimore receives orders from dealers in Philadelphia and Trenton. The dealer would to minimize the shipping cost. The dealer in Philadelphia needs 3 cars and the dealer in Trenton needs 8. The New York warehouse has 5 cars and the Baltimore warehouse has 9. The cost of shipping cars from Baltimore to Philadelphia is $120 per car, from Baltimore to Trenton $90 per car, from New York to Philadelphia $100 per car, and from New York to Trenton $70 per car. Let x be the number of cars shipped from Baltimore to Trenton, and y be the number of cars shipped from Baltimore to Philadelphia. 5. Write the six inequalities associated with this problem.
Answer:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
[tex]x + y \le 9[/tex]
[tex]8 - x \ge 0[/tex]
[tex]3 - y \ge 0[/tex]
[tex](8 - x) + (3 - y) \le 6[/tex]
Step-by-step explanation:
Given
x = Cars from Baltimore to Trenton
y = Cars from Baltimore to Philadelphia
Required
Write out 6 inequalities
First, 0 or more cars must be shipped to both locations
So:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
Considering the warehouse in Baltimore.
(1) The warehouse can not ship more than the number of car it has (9).
So:
[tex]x + y \le 9[/tex]
Considering the warehouse in New York.
(1) After shipping cars to Trenton and Philadelphia, the warehouse will have 0 or more cars.
So:
[tex]8 - x \ge 0[/tex] --- To Trenton
[tex]3 - y \ge 0[/tex] --- To Philadelphia
(2) The warehouse cannot send out more than 6.
So:
[tex](8 - x) + (3 - y) \le 6[/tex]
So, the inequalities are:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
[tex]x + y \le 9[/tex]
[tex]8 - x \ge 0[/tex]
[tex]3 - y \ge 0[/tex]
[tex](8 - x) + (3 - y) \le 6[/tex]
Hello, can someone plz make sure I’m correct. The photo is above !
it looks correct to me
ps. i hate savvas realize
Find the coordinates of the point (a, b).
a = ?
(0, 1)
0 1
2
(a, b)
O v2
O v2
2.
1(-1,0)
रा
45°
DONE
(1,0)
b= ?
1
O v2
O v2
2.
Зл
2
(0, -1)
9514 1404 393
Answer:
(a, b) = (√2/2, √2/2) . . . . . choice C in each case
Step-by-step explanation:
The points on a unit circle will not have coordinate values greater than 1 (eliminates √2). The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° are ...
(cos(45°), sin(45°)) = (a, b) = (√2/2, √2/2)
The coordinate of point (a, b) is (√2/2, √2/2)
Coordinate of a point on a circleNote that the points on a unit circle will not have coordinate values greater than 1.
The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° is given according to the coordinate point (cos45, sin45)
a = cos45 = √2/2
b = sin45 = √2/2
Hence the coordinate of point (a, b) is (√2/2, √2/2)
Learn more on unit circle here: https://brainly.com/question/23989157
On a drive from one city to another, the person averaged 51 mph. If he had been able to average 72 mph, he would have reached his destination 7 hrs earlier. What is the driving distance between one city and the other?
Answer: 1224 miles
Step-by-step explanation:
Given
the average speed of a person is 51 mph
If speed is increased to 72 mph, he would have reached 7 hr earlier
Suppose d and t be the distance and time taken
[tex]\Rightarrow t_1=\dfrac{d}{51}[/tex]
If the speed is 72 mph
[tex]\Rightarrow t_2=\dfrac{d}{72}[/tex]
Also, [tex]t_1-t_2=7[/tex]
[tex]\Rightarrow \dfrac{d}{51}-\dfrac{d}{72}=7\\\\\Rightarrow \dfrac{1}{51}-\dfrac{1}{72}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{24-17}{1224}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{7}{1224}=\dfrac{7}{d}\\\\\Rightarrow d=1224\ miles[/tex]
Write two fractions that have a sum of 1 and have different denominators.
Answer:
1/5+8/10=1
Step-by-step explanation:
1/5 = 2/10
Jackie Chan is reviewing the total accounts receivable of his new department store in Hong Kong customers who paid with credit totaled $85,000 this month this represents 40% of our receivables do what is mr. Chan's total account receivable?
Answer:
Mr. Chan's total account receivable is of $212,500.
Step-by-step explanation:
$85,000 this month this represents 40% of our receivables
This means that 85000 is 40% = 0.4 of the receivables, which is x.
What is mr. Chan's total account receivable?
We have to find x
[tex]0.4x = 85000[/tex]
[tex]x = \frac{85000}{0.4}[/tex]
[tex]x = 212500[/tex]
Mr. Chan's total account receivable is of $212,500.
Helppp pleaseeee which one
Answer:
Coefficient is your answer
Answer:
3 is a coefficient
Step-by-step explanation:
a constant is a number without a variable and that is unchanging
3 has the variable w attached to it and will change with the value of w
hope this helps <3
An elevator has a placard stating that the maximum capacity is 1580 lb-10 passengers. So, 10 adult male passengers can have a mean weight of up to 1580/10 = 158 pounds. If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 158 lb. (Assume that weights of males are normally distributed with a mean of 160 lb and a standard deviation of 35 lb.) Does this elevator appear to be safe?
Answer:
a) 0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb
b) No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using 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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Assume that weights of males are normally distributed with a mean of 160 lb and a standard deviation of 35 lb.
This means that [tex]\mu = 160, \sigma = 35[/tex]
Sample of 10:
This means that [tex]n = 10, s = \frac{35}{\sqrt{10}} = 11.07[/tex]
a) Find the probability that it is overloaded because they have a mean weight greater than 158 lb.
This is 1 subtracted by the pvalue of Z when X = 158. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{158 - 160}{11.07}[/tex]
[tex]Z = -0.18[/tex]
[tex]Z = -0.18[/tex] has a pvalue of 0.4286
1 - 0.4286 = 0.5714
0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb.
b.) Does this elevator appear to be safe?
No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.
Triangle DIG is reflected across the l-axis.
O (x, y) --> (-x, y)
O (x, y) --> (-X, -y)
(x, y) --> (y,x)
O (x,y) --> (x,-))
helpp its for a timed assignment
there is not such thing as an I axis, but I will show you what happens for both x and y axis so you can fill out the assignment with the correct information.
IF you meant flipping over the x axis, then the dot will go from top to bottom, bottom to up, the x position won't change only its height(y position)
This meant that for reflecting across the x axis, (x,y)->(x,-y)
For y axis its the opposite, just flipping to the side.
This meant that for reflecting across the y axis, (x,y)->(-x,y)
Without doing calculations choose the equation that you can NOT use to answer the question. What number is 55% of 80?
Answer: See explanation
Step-by-step explanation:
You didn't specify the equations but let me solve the question.
55% of 80.
The above statement simply means that you need to multiply 55% by 80. This will be:
= 55% of 80
= 55/100 × 80
= 0.55 × 80
= 44
Therefore, 55% of 80 is 44
Based on your question, any other equation that doesn't give 44 as an answer cannot be used to answer the question.
The commutative property changes the _____ of two addends or factors.
Consider the following set of numbers:
{1,2,3,4,5,6,7,8,9, 10}
What is the probability of drawing an even number or a
multiple of 3?
Answer:
0.7
Step-by-step explanation:
2,3,4,6,8,9,10 are the possible choices.
∴P(even no. or multiple of 3)
= 7/10
Answer:
7/10 or 70%
Step-by-step explanation:
1 no
2 yes
3 yes
4 yes
5 no
6 yes
7 no
8 yes
9 yes
10 yes
7/10 are even or multiples of 3, therefore you have a 70% chance of drawing one of them
Help pls because I really need help
Answer:
answer is third,hope i helped u
Help asappppp !!!!!!!!
Answer:
None
Step-by-step explanation:
2(x + 10) - 17 = 2x - 2
simplify:
2x + 20 - 17 = 2x - 2
2x + 3 = 2x - 2
subtract 3 from both sides of the equation:
2x = 3x -5
no solution
combine like terms in the expression -4x+7x-2y+7y
Answer:
-4x + 7x - 2y + 7y =
3x + 5y
Step-by-step explanation:
Hope that this helps :)
please help! I really need it if you can tysm
Answer:
Step-by-step explanation:
Half of the animals are cats. If they take in 5 cats, then the total number of animals is 2×5 = 10.
If they take in 8 animals, the number of cats is ½ of 8 = 4.
If they take in 6 cats, then the total number of animals is 2×6 = 12.
If they take in 16 animals, the number of cats is ½ of 16 = 8.
in the problem 12+58=70,12 and 58 are called factors true or false
Answer:
false
Step-by-step explanation:
Answer:
false they are called addend s
Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the given plane. x 3y 4z
I assume the given plane has equation
x + 3y + 4z = d
for some constant d ≠ 0.
You want to maximize the function V(x, y, z) = xyz subject to the above constraint. The Lagrangian would be
L(x, y, z, λ) = xyz - λ (x + 3y + 4z - d)
Find its critical points:
∂L/∂x = yz - λ = 0
∂L/∂y = xz - 3λ = 0
∂L/∂z = xy - 4λ = 0
∂L/∂λ = x + 3y + 4z - d = 0
The first three equations tell you that λ = yz = xz/3 = xy/4. Then, for instance,
yz = xz/3 → 3yz - xz = z (3y - x) = 0 → z = 0 or 3y - x = 0
If z = 0, we get zero volume which is not useful. So 3y = x. Similarly, you would find x = 4z and 3y = 4z, so a critical point occurs when x = 3y = 4z.
In the fourth equation, we get upon substituting
x + 3y + 4z = 3x = d → x = d/3, y = d/9, z = d/12
Then the largest volume of this box would be
V(d/3, d/9, d/12) = d ³ / 324
giving the brainliest answer to who can ever help me out!!! AND has the correct answer need help asap!
Answer:
B
Step-by-step explanation:
Answer:
The ratio of a 45-45-90 traingle is 1:1:[tex]\sqrt{2}[/tex].
PLEASE HELP!!
Find the lateral area of this cone. Leave your answer in terms of pi.
25 cm
8 cm
Answer:
200
Step-by-step explanation:
pi · radius · height
3.14 · 8 · 25 = 200
extra : i used symbolab.com :)
Consider the expression
10x2 + 5x – 25.
What is the GCF (greatest common factor)?
Answer:
5
Step-by-step explanation:
Answer:
Its def 5, My calculations are never wrong
Please help due soon.
Answer:
If Jenny gives her brother 28 marbles, they will have 59 marbles each.
Step-by-step explanation:
The key to finding this answer is a mean, or average. Find it for the number of marbles:
[tex]\text{Mean}=\frac{87+31}{2}= \frac{118}{2}=59 \text{ marbles}[/tex]
So, on average, each one should have 59 marbles.
Finally, to find out how many marbles Jenny should give to her brother, subtract the average (59 marbles) from her count:
[tex]87-59=28 \text{ marbles}[/tex]
This means Jenny would give up 28 of her marbles to her brother.
A tabletop in the shape of a trapizoid has an area 8607 square centimeters. its longer base measures 123 centimeters, and the shorter base is 105 centimeters what is the height?
Answer:
286.94 cm
Step-by-step explanation:
Data:
Area = 8,607
b1 = 105
b2 = 123
Area = 1/2 * (b1 + b2) * h
h = 2 * Area/b1 + b2
h = 2 * 8,607/105 + 123
h = 286.94 cm
I'm not sure if it's right but that's what my calculator gave me.
solve please
due very soon
need done asap
Answer:
B
Step-by-step explanation:
Both triangles are similar. The similarity ratio between AB and EF is 4, which must mean that FG is BC (60)/4. The area of a rectangle is base x height -> 6.25 x 15 = 93.75 square cm
Hope this helps!
I need help, please also help with the other
Answer:
Maybe 7.
Step-by-step explanation:
Okay, the answer could be difficult to find but if you look at the x-axis and also y-axis it would be very easy and not complicated.
- 4(x + 5) = 16 what does x equal?
Answer:x= 9
Step-by-step explanation:
-4(x+5) = 16
-4*x= -4x -4*5= -20
16 - -20= 36
-4x/-4= x 36/-4=9