The solution of expression for value of q is,
⇒ q = - 2
We have to given that,
An equation to simplify,
⇒ 4 (3q - 2) = 16q
Now, We can solve the expression for q as,
⇒ 4 (3q - 2) = 16q
Divide both side by 4;
⇒ 4 (3q - 2) /4 = 16q / 4
⇒ (3q - 2) = 4q
Subtract 3q both side,
⇒ 3q - 2 - 3q = 4q - 3q
⇒ - 2 = q
⇒ q = - 2
Therefore, The solution is,
⇒ q = - 2
Learn more about the subtraction visit:
https://brainly.com/question/17301989
#SPJ6
what's the answer to this?
The measure of the side length of the right triangle is 20.
What is the measure of the missing side length?A tangent makes an angle of 90 degrees with the radius of a circle.
Therefore, the triangle formed is a right triangle.
From the diagram:
Leg 1 = 12
Leg 2 = 16
Hypotenuse =?
To find the hypotenuse, we use the Pythagoras theorem:
(Hypotenuse)² = ( Leg 1 )² + ( Leg 2 )²
(Hypotenuse)² = ( 12 )² + ( 16 )²
(Hypotenuse)² = 144 + 256
(Hypotenuse)² = 400
Take the square roots of both sides:
Hypotenuse = √400
Hypotenuse = 20
Therefore, the side length measures 20 units.
Option C) 20 is the correct answer.
The complete question is:
Find the missing line segment in the diagram.
Learn more about Pythagorean theorem here: brainly.com/question/343682
#SPJ1
A spinner is spun 300 times and stops on C 95 times. Calculate the experimental probability of the spinner stopping on C.
Answer:
19/60
Step-by-step explanation:
You spin the spinner and flip a coin find the probability of the compound event only number 3 and 4
24 3/8 inches
- 12 3/4 inches
= ?
Correct gets brainliest
according to the graph what is the value of the constant in the equation below rewritten in
Answer:
The answer to this is B. 80
What is the surface area of this triangular prism rounded to the nearest tenth? A) 63.3 cm2 B) 75.6 cm2 C) 85.7 cm2 D) 97.2 cm2
please help and hurry
it’s not the one i picked
A study is created in which the participants were randomly assigned to groups for different treatments. Which best describes the reason this was done?
A. It allows us to see the true nature of any effects of different treatments.
B. It allows us to determine if the treatment effect is significantly different from the placebo effect.
C. It allows us to distinguish among the effects of different factors.
D. It allows us to use chance as a way to create groups that are similar to the population.
Answer:
D) it allows us to use chance to create groups that are similar to the population.
Step-by-step explanation:
A study is created in which the participants were randomly assigned to groups for different treatments. This was done as it allows us to use chance to create groups that are similar to the population.
Random assignment is the use of chance, to make sure that every participant has the same chance to be selected in groups. These divided groups can be experimental groups or treatment groups.
Part 1: Solve the system by graphing. Draw the graphs on paper and indicate their intersection point. Type the ordered pair solution here as your answer to Part 1.
Part 2: Solve the system using the substitution method. Show all work here and indicate the solution for the system as an ordered pair.
Part 3: Solve the system using the addition method. Show all work here and indicate the solution for the system as an ordered pair.
2x+3y=6
x-2y=10
can somebody help me please this is my last question i need to submit this!! help!!
The area of this rectangle is 5x2. What does the coefficient 5 mean in terms of the problem?
Answer: The length is 5 times the width
Step-by-step explanation:
Given: The area of rectangle = [tex]5x^2=(5x)(x)[/tex]
Here x must be a positive real number since it can not be negative.
Also for area of rectangle =[tex]length \times width[/tex]
And length is always greater than width of rectangle, therefore in the given expression 'x' must be width and '5x' must be length of rectangle .
[∵ for every positive x , 5x>x]
Hence, the coefficient 5 means the length is 5 times the width.
Which of the following sequences is not arithmetic?
a.1, 2, 3, 4, ...
b.2, 4, 6, 8, ...
c.0, -2, -4, -6, ...
d.1, 4, 9, 16, ...
Answer:
1, 4, 9, 16, ...
Step-by-step explanation:
Write y=(-5/8)x+3 in standard form using integers
what equation results from completing the square and then factoring.
A function describes a proportional relationship for a set of discrete data. What is true about the graph of that function?
It is a line connecting a series of points.
It is a line drawn only in the first quadrant.
It is a series of points that cannot be connected by a straight line.
It is a series of points that fall in a straight line but are unconnected.
Answer:
It is a series of points that fall in a straight line but are unconnected.
Step-by-step explanation:
What is the coefficient of y in the expression 3 ⋅ 6 + 4y?
Answer:
Sorry I'm late, but I think the answer is D.
Step-by-step explanation:
I need help on these problems
Three out of 4 students made an A on the last arithmetic test. If there are 32 students how many students made an A
24 students made an A in the last arithmetic test.
What is the ratio?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. An equation with two ratios set equal to one another is called a percentage.
Given, Three out of 4 students made an A on the last arithmetic test.
out of 4 students, the student gets an A = 3
out of 1 student get A = 3/4
Since there are 32 students in total
out of 32 students, the student gets A = 3/4 * 32
out of 4 students, the student gets an A = 24
therefore, out of 32 students, there are 24 students who got A's.
Learn more about ratios here:
https://brainly.com/question/13419413
#SPJ2
PLEASE HELP AND FAST, 15 POINTS! In the coordinate plane shown, how far apart are points B and D? Explain how you can use the Pythagorean theorem to determine this.
Julie has two formal events to go to--one for her work and one for her partner's work. She has six formal dresses--two blue ones, one black, one red, and two white. Since the same people will not be at the two events she is okay wearing the same dress. She finds the probabilty that she wears a blue and a red dress as p(blue and red) = 2 6 · 1 6 . What do you know about the two events
Answer:
The two events are independent.
She used the multiplication rule to calculate the probability. Since she is okay wearing the same dress to the two events they are independent.
Step-by-step explanation:
which recursive formula can be used to reresent the sequence 2,6,10,14,18
1. a = 0
1
a = a + 4
n n-1
2. a = 2
1
a = a +4
n-1 n
3. a = 2
1
a = a -4
n n-1
4. a = 2
1
a = a +4
n n-1
Answer:
[tex] 4.\\\left\{\begin{array}{ccc}a_1=2\\a_n=a_{n-1}+4\end{array}\right\\\\check\\\\a_2=a_1+4\to a_2=2+4=6\\\\a_3=a_2+4\to a_3=6+4=10\\\\a_4=a_3+4\to a_4=10+4=14\\\\a_5=a_4+4\to a_5=14+4=18 [/tex]
Eli, Freda and Geoff were given £800 to share in the ratio of their ages.
Eli is 9 years old,Feda is 13 years old and Geoff is 18 years old.
How much should they each get?
Eli-
Freda-
Geoff-
Final answer:
Calculate how £800 should be divided among Eli, Freda, and Geoff based on their ages.
Explanation:
Ratio of ages: 9:13:18 = 9/40 : 13/40 : 18/40
Total amount: £800
Eli: £200
Freda: £290
Geoff: £410
watts,volts and amps are used to measure electricity. there is a formula that shows the relationship between watts,volts and amps. volts times amps = watts . if the volts are 120 and the amps are 5 how many watts are there?
The number of watts for a circuit with 120 volts and 5 amps is 600 watts.
Explanation:The formula for calculating the power in an electrical circuit is: Power (P) = Voltage (V) × Current (I).
To calculate the number of watts, we can substitute the given values into the formula:
Volts (V) = 120
Amps (I) = 5
Therefore, the number of watts (P) = 120 V × 5 A = 600 W.
Help with question 12 please
Suppose you have $16,000 to invest in three stocks, A, B, and C. Stock A is a low-risk stock that has expected returns of 4%. Stock B is a medium-risk stock that has expected returns of 5%. Stock C is a high-risk stock that has expected returns of 6%. You want to invest at least $1,000 in each stock. To balance the risks, you decide to invest no more than $7,000 in stock C and to limit the amount invested in C to less than 4 times the amount invested in stock A. You also decide to invest less than twice as much in stock B as in stock A. How much should you invest in each stock to maximize your expected profit? Complete the constraints.
Answer:
Stock A: 1
Stock B: 1 and y=2
Stock C: 1, 7, 4
To maximize expected profit, you need to determine the amount to invest in stocks A, B, and C while considering the given constraints.
Explanation:To invest in each stock to maximize expected profit, we need to determine the amount to invest in stocks A, B, and C while considering the given constraints.
Let's denote the amount invested in stock A as x, in stock B as y, and in stock C as z.
The constraints are as follows:
At least $1,000 should be invested in each stock: x > $1,000, y > $1,000, z > $1,000No more than $7,000 should be invested in stock C: z < $7,000The amount invested in C should be less than 4 times the amount invested in A: z < 4xThe amount invested in B should be less than twice the amount invested in A: y < 2xTo maximize expected profit, we need to maximize the sum of the expected returns from each stock:
Expected profit = 0.04x + 0.05y + 0.06z
By solving the constraints and optimizing the expected profit function, we can find the optimal values for x, y, and z.
A container of 8 metal beams weighed one fourth of a ton. If every beam weighed the same amount, how heavy was each?
the larger of two numbers is 1 more than 3 times the smaller. the diffrence is between 8 time the smaller and 2 tmies the larger is 10 find the numbers
Help with all of them please
Solve the Systems of equations algebraically
4x+5y=15
-4x+6y+7
Answers
A- (5/4, 2)
B- (2, 5/4)
C- (4/5,2)
D (2, 4/5)
An artist was able to draw one seventh of a picture every hour. If he needed to paint 8 pictures for an art show, how many hours would it take him
The artist 56 hours to complete 8 pictures for the art show.
Question: An artist was able to draw one seventh of a picture every hour. If he needed to paint 8 pictures for an art show, how many hours would it take him?
To find out how many hours it would take the artist to paint 8 pictures, we can use the information given.
The artist can draw one seventh of a picture every hour. This means that in one hour, the artist can complete 1/7 of apicture.
To find out how many hours it would take to complete one picture, we can divide 1 by 1/7.
1 ÷ 1/7 = 7/1
So, it would take the artist 7 hours to complete one picture.
Since the artist needs to paint 8 pictures, we can multiply 7 hours by 8.
7 hours × 8 = 56 hours
For more such questions on hours
https://brainly.com/question/3906566
#SPJ8