Can someone plz help with 21?? Thanks!
Answer:
4) -11.3...
Step-by-step explanation:
distribute both sides to get (1/6)x - (4/3) = (4/15)x - (1/5)
move the variables to one side and the constants to the other: ((4/15) - (1/6))x = (-(4/3) + (1/5))
simplify to get (1/10)x = (-17/15) multiply everything by 10 to get x=-34/3 or -11.33333333333333333...
Answer:
option 4
Step-by-step explanation:
\(\frac{2}{3}\) (\(\frac{1}{4}\) x - 2) = \(\frac{1}{5}\) (\(\frac{4}{3}\) x - 1) ← distribute parenthesis on both sides
\(\frac{1}{6}\) x - \(\frac{4}{3}\) = \(\frac{4}{15}\) x - \(\frac{1}{5}\)
Multiply through by 30, the LCM of 6, 3, 15, 5
5x - 40 = 8x - 6 ( subtract 8x from both sides )
- 3x - 40 = - 6 ( add 40 to both sides )
- 3x = 34 ( divide both sides by - 3 )
x = - \(\frac{34}{3}\) = - 11.333..
i need help answering with steps
-40-2(3m+1/2) =7m-2
Answer:
Step-by-step explanation:
-Start by distributing the 2, -2(3m+1/2).
-Getting -6m-1, your equation should look like -40-6m-1=7m-2
-Combine -40 and -1 to get -41, and then add the -6m to the other side.
-The equation should look like -41=13m-2. Add the 2 to the -41 to get -39.
-Now, we have -39=13m. divide both sides by 13 to get m=-3.
Algeria has decided to take out an advertisement in the U.N. newspaper, Liberty Daily. The newspaper charges a base fee of $1500 for an ad. There is an additional fee of $700 for every inch in height. If Algeria is willing to spend any amount up to (and including) $4300, what choices does the country have for the height of the ad? Let x = the height of the ad (inches) Let y = the cost of the ad ($) A. Write an inequality to represent this situation. B. What choices does the country have for the height of the ad?
Answer:
Step-by-step explanation:
David buys 80 chocolate for £20 He sells 3/4 of the chocolates for 40p each He then sells the renaming for 20p each
Answer:
2800p
Step-by-step explanation:
The cost of 3/4 of the chocolates is £40.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that David buys 80 chocolate for £20 He sells 3/4 of the chocolates for 40p each
He then sells the remaning for 20p each.
Therefore,
80 chocolate = £20
one chocolate = 20/80 = £0.25
Then 3/4 of the chocolates = 40p
3/4 x 80 = 40p
60 = 40p
The remaning chocolates are;
80 - 60 = 20
Then 20 = 20p
p = 1
so, He sells 3/4 of the chocolates for £40.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ5
The point p(x, y) lies on the terminal side of an angle theta = startfraction 3 pi over 4 endfraction in standard position. what are the signs of the values of x and y? both x and y are positive. both x and y are negative. x is positive, and y is negative. x is negative, and y is positive.
The 'x' coordinate is negative and 'y' coordinate is positive.
What is Fraction ?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
We know that :
π = 180
Therefore,
3π/4 = (3×180)/4 = 3 × 45
3π/4 = 135
In second quadrant, we have negative value if x coordinate and positive value of y coordinate.
Hence, the angle lies in the second quadrant. Second quadrant is enclosed by the negative x axis and positive y axis.
To learn more about Fraction visit :
https://brainly.com/question/16536310
#SPJ4
Answer:
x is negative, and y is positive.
Step-by-step explanation:
The answer above is correct.
Pls help find the area
Answer:
18 mi²
Step-by-step explanation:
Using the formula:
\(A = \frac{hb}{2}\)
\(A = \frac{4.5*8}{2}\)
A=36/2
A=18
Units will be mi² since it is area
Answer:
A = 18 mi²
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )
here b = 8 and h = 4.5 , then
A = \(\frac{1}{2}\) × 8 × 4.5 = 4 × 4.5 = 18 mi²
Simplify the expression (-1)(-fg)(-xy)
Find the volume of the cylinder. Use 3.14 for u. Round to the nearest whole number.
Radius-34 m
Height-45 m
Answer:
1530 cubic centimeters
The sum of three consecutive integers is
45. Find the value of the middle of the three.
Answer:
15
Step-by-step explanation:
Let x, x+1, and x+2, be the three consecutive numbers.
x+(x+1)+(x+2) = 45
3x + 3 = 45
Divide both sides by 3,
x + 1 = 15
x = 14
Hence, the given three consecutive numbers are 14, 15 and 16.
Find the sum 1/2+1/4
Answer:
3/4
Step-by-step explanation:
Make a common denominator and multiply the many times the denominator had to get to the common denominator to the numerator.
Please help me - I will give brainlist
Answer:
File won't load...?
Step-by-step explanation:
Help will mark brainliest!
By using the fact that the sum of the interior angles of a triangle must be 180°, we will get:
x = 11m∠B = 108°m∠B = 36°m∠D = 36°How to find the value of x?Remember that the sum of the internal angles of a triangle is always equal to 180°, then we can write:
m∠B + m∠C + m∠D = 180°
Then:
13x - 35 + 5x - 19 + 2x + 14 =180
20x -40 = 180
20x = 180 + 40
20x = 220
x = 220/20
x = 11
Now that we know the value of x, we can find the measures of the angles.
m∠B = (13x- 35)° = (13*11 - 35)° = 108°
m∠B = (5x - 19)° = (5*11 - 19)° = 36°
m∠D = (2x + 14)° = (2*11 + 14)° = 36°
Learn more about internal angles:
https://brainly.com/question/25215131
#SPJ1
Using the Normal Model with Binomial Problems np >= 10
nq >= 10
Normal model
Binomial Problem
1. A basketball player makes
72.5% of her free throws.
What is the probability that
she makes at least 15 of her
next 60 shots?
2. 14% of smart phones require
servicing in their first year.
What is the probability that
no more than 10 smart
phones in a shipment of 100
will need such repair?
3. 6% of scratch-off lottery
tickets have a prize of a free
ticket. What is the
probability that this prize is
on 15 or more of the 200
tickets at the local
convenience store?
Answer:
Step-by-step explanation:
This is a binomial problem where the basketball player has a probability of success of 0.725 (making a free throw) and is attempting 60 shots. The number of successful shots is a binomial random variable X ~ Bin(60, 0.725). We need to find the probability that she makes at least 15 of her next 60 shots, which is P(X ≥ 15). This can be computed using the binomial cumulative distribution function (CDF) as follows:
P(X ≥ 15) = 1 - P(X < 15) = 1 - binom.cdf(14, 60, 0.725) ≈ 0.998
Therefore, the probability that she makes at least 15 of her next 60 shots is approximately 0.998.
This is also a binomial problem where the probability of success is 0.14 (a smartphone requiring servicing) and the number of trials is 100 (smartphones in a shipment). We need to find the probability that no more than 10 smartphones in the shipment will require servicing, which is P(X ≤ 10). This can be computed using the binomial CDF as follows:
P(X ≤ 10) = binom.cdf(10, 100, 0.14) ≈ 0.289
Therefore, the probability that no more than 10 smartphones in the shipment will require servicing is approximately 0.289.
This is also a binomial problem where the probability of success is 0.06 (a scratch-off lottery ticket having a prize of a free ticket) and the number of trials is 200 (tickets at the local convenience store). We need to find the probability that this prize is on 15 or more of the tickets, which is P(X ≥ 15). This can be computed using the binomial CDF as follows:
P(X ≥ 15) = 1 - P(X < 15) = 1 - binom.cdf(14, 200, 0.06) ≈ 0.021
Therefore, the probability that the prize is on 15 or more of the 200 tickets at the local convenience store is approximately 0.021.
What is the slope for number 4?
Answer: -10/7
Step-by-step explanation:
Please guys I need help
\(8000 \: pounds \times \frac{1 \: ton}{2000 \: pounds} = 4 \: tons\)
\(7 + 4 = 11 \: tons\)
Order from least to greatest
0.0015
0.0150
0.1050
0.0050
Answer:
0.0015
0.0050
0.0150
0.1050
Step-by-step explanation:
Answer:
0.0015
0.0050
0.0150
0.1050
Write and then evaluate the expression. Then, check all that apply. Six times the sum of a number cubed and two; evaluate when n = 3 A 2-column table with 6 rows. Column 1 is labeled Key Words with entries six, times, the sum of, a number, cubed, two. Column 2 is labeled Replace with entries 6, times, ( ), n, exponent of 3, 2. The expression is written as 6 × n3 2. The expression is written as 6(n3 2). Evaluate by substituting 3 in for the variable. Simplify by using order of operations. The value of the expression is 174. The value of the expression is 66. The value of the expression is 56.
The expression is 6 times the sum of a number cubed and two.
The number in this expression is represented by the variable n. The expression can be written as 6(n³ + 2).When n = 3, we can evaluate the expression as follows:6(3³ + 2) = 6(27 + 2) = 6(29) = 174Therefore, the value of the expression when n = 3 is 174.Using the order of operations, the expression can also be evaluated as:6(n³ + 2) = 6(n × n × n + 2) = 6n³ + 12 the expression can be simplified as 6n³ + 12. Substituting n = 3 in this expression gives:6(3³) + 12 = 6(27) + 12 = 174Therefore, the value of the expression when n = 3 is 174. Hence, the answer is the third option, "The value of the expression is 174."
To know more about expression visit:
https://brainly.com/question/28170201
#SPJ11
Are there cancellation laws for scalar multiplication in a
vector space? That is:
• If a · v = b · v for a, b ∈ F a field and v ∈ V a vector
space, then a = b.
• If a · v = a · w for a ∈
Yes, there are cancellation laws for scalar multiplication in a vector space.
The first law states that if a · v = b · v for a, b ∈ F, a field, and v ∈ V, a vector space, then a = b. To prove this, suppose that a · v = b · v. Then, we have:
a · v - b · v = 0
(a - b) · v = 0
Since V is a vector space, it follows that either (a - b) = 0 or v = 0. If v = 0, then the equation is true for any value of a and b. If v ≠ 0, then we can divide both sides of the equation by v (since F is a field and v has an inverse), which gives us:
(a - b) = 0
Therefore, we have a = b, as required.
The second law states that if a · v = a · w for a ∈ F and v, w ∈ V, then v = w or a = 0. To prove this, suppose that a · v = a · w. Then, we have:
a · v - a · w = 0
a · (v - w) = 0
Since a ≠ 0 (otherwise, the equation is true for any value of v and w), it follows that v - w = 0, which implies that v = w.
Therefore, we have shown that there are cancellation laws for scalar multiplication in a vector space.
Learn more about "vector space" : https://brainly.com/question/11383
#SPJ11
a container with 3 1 2 gallons of weed killer can spray 2 1/4 lawns. how many gallons would it take to spray 2 lawns
Answer:
Step-by-step explanation:
my answer is 3 1/9 gallons
Given: a container with 3 1/2 gallons of weed killer can spray 2 1/4 lawns.
No. of gallons required to spray 2 lawns = x
So, first of all we should divide 3 1/2 with 2 1/4
now this division we should equalise with x/3
(3 1/2 ÷ 2 1/4) = x ÷ 2
after doing this we have got the value of x = 28/9 or 3 1/9
hence, 3 1/9 gallons is required to spray 2 lawns.
So . this question is related to capacity.
https://www.wyzant.com/
Why are specific planes identified using 3 non-collinear points vs. 3 collinear points?
As opposed to 3 colinear points, 3 non-collinear points are used to define a plane because they constitute linearly independent vectors.
Why are specific planes identified using 3 non-collinear points vs. 3 collinear points?The reason why 3 non-collinear points are used to define a plane is because the dimension of a plane is 2, hence, it follows that exactly two linearly independent vectors are needed to constitute a plane.
It consequently follows that two independent vectors can be formed by the 3 non-collinear points where one point serves as the origin and the other two are the tips of the vectors.
Read more on colinear points;
https://brainly.com/question/2234342
#SPJ1
8(4x-4)=-5x-32 pls help
Answer:
x= 0
Step-by-step explanation:
find x so that c || d
Step-by-step explanation:
when a line intersects with 2 or more parallel lines, it must have the same intersection angles with each of these parallel lines. otherwise they are not parallel.
therefore, x = 48°.
this is the only way for c to be parallel to d (and vice versa).
The graph below represents which system of inequalities?
Answer:
A
Step-by-step explanation:
Both lines have a y-intercept of 3.
Both lines are solid and colored below, which means both inequalities have the symbol \( \le \).
One line has a positive slope, and one line has a negative slope.
The only answer that conforms to the above is a)
Answer: A
HELP FAST WILL GIVE BRAINEST FOR RIGHT ANSWER!!!
Part A: State the Greatest Common Factor of 12x2y5z and 150x6y5z and 66y9z
Show all work you did to determine the GCF.
Part B: Factor completely 4x2 – 20x +100
Part C: Factor completely. 81x2-64
Part D: State the factoring rule for special cases. (a + b)2 = ??
Part E: State the factoring rule for difference of two squares. a2 – b2 = ??
Answer:
Step-by-step explanation:
A) 12x² y⁵z = 2² * 3 * x² * y⁵ * z
150x⁶y⁵z = 5² * 2 * 3 * x⁶ * y⁵ * z
66y⁹z = 2 * 3 * 11 * y⁹ * z
GCF = 2 * 3 * y⁵ * z = 6y⁵z
B) 4x² - 40x + 100 = (2x)² - 2 * 2x * 10 + 10²
= (2x - 10)²
C) 81x² - 64 = (9x)² - 8² {a² - b² = (a + b)(a - b)}
= (9x + 8)(9x - 8)
D) (a + b)² = a²+ 2ab + b²
E) a² - b² = (a + b)(a - b)
Answer:
Simplifying 4x2y + 12xy2 + 9y3 Reorder the terms: 12xy2 + 4x2y + 9y3 Factor out the Greatest Common Factor (GCF), 'y'. y(12xy + 4x2 + 9y2) Factor a trinomial.
Step-by-step explanation:
Subtracting Perfect Squares · (a+b)(a-b)=a2-b · Example · 4x2-9= · Subtracting Perfect Cubes · a3-b3=(a-b)( · Adding Perfect Cubes · x3+27=(x+3)(x2-3x+9).
In the diagram below, AB is parallel to CD. What is the value of x?
Answer:
A. 120 degrees.
Step-by-step explanation:
The two angles are alternate angles, which means they are congruent. So, x is also 120 degrees.
Hope this helps!
solve 6x - 3 = 3x + 12
Answer:
x=5
Step-by-step explanation:
May I have brainiest I'm trying to level up!
</3 PureBeauty
Answer:
x=5
Step-by-step explanation:
6x-3 = 3x +12
+3 +3
6x = 3x +15
-3x -3x
3x = 15
divided both sides by 3 to get your answer
Container A and container B have leaks.
Container A has 800 ml of water and is leaking 6 ml per minute.
Container B has 1000 ml and is leaking 10 ml per minute.
Let m represent the number of minutes the contains are leaking.
How many minutes, m, will it take for the two containers to have the same amount of water? Write and solve an equation to show your work.
Answer:
50m ..........................................................................................
Two cars travel at the same speed to different destinations. Car A reaches its destination in 12 minutes. Car B reaches its destination in 18 minutes. Car B travels 4 miles farther than Car A. How fast do the cars travel? Write your answer as a fraction in simplest form.
Answer:
chatGPT
Step-by-step explanation:
Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:
d = v * (12/60) (since Car A reaches its destination in 12 minutes)
d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)
Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:
12v = 60d
18v = 60d + 240
Subtracting the first equation from the second, we get:
6v = 240
Therefore:
v = 240/6 = 40
So the cars travel at a speed of 40 miles per hour.
which of the following is considered diversity? select one: a. life experiences b. educational background c. where someone is from d. how old someone is e. all of these
Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.
Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.
To know more about Diversity,
https://brainly.com/question/31522598
#SPJ11
3. Hot water of mass 300 g and at a temperature of 90 °C is added to 200 g of cold water at 10 °C. What is the final temperature of the mixture?
Answer:
58°C
Step-by-step explanation:
Heat absorbed by hot water + heat absorbed by cold water = 0
m₁C₁ΔT₁ + m₂C₂ΔT₂ = 0
(300 g) (4.184 J/g/K) (T − 90°C) + (200 g) (4.184 J/g/K) (T − 10°C) = 0
(300 g) (T − 90°C) + (200 g) (T − 10°C) = 0
(300 g) (T − 90°C) = -(200 g) (T − 10°C)
3 (T − 90°C) = -2 (T − 10°C)
3T − 270°C = -2T + 20°C
5T = 290°C
T = 58°C