Answer:
\(\frac{2}{3}\)
Step-by-step explanation:
let the number be n , then
4 - 4n = 2n ( add 4n to both sides )
4 = 6n ( divide both sides by 6 )
\(\frac{4}{6}\) = n
The number is \(\frac{2}{3}\)
Answer:
Let the number = x
4 - 4x= 2x
4 = 2x+4x
4 = 6x
x = 4/6
x = 2/3
Step by Step explanation:
If you like my answer than please mark me brainliest thanks
Fred is making a bouquet of carnationsand roses. The carnations cost $5.25 in all. The roses are $1.68 each. If Fred spent $18.69 all together, how many roses did he use? I will brainliest
a.5 b.6 c.7 d.8
Answer:
I think its d.8. it sounds like the correct answer.
The required number of roses would be 8. which is the correct answer would be an option (D).
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
The carnations cost $5.25 in all. The roses are $1.68 each. If Fred spent $18.69 altogether.
Let's assume that x would be the number of roses.
According to the given question,
$5.25 + $1.68 × x = $18.69
5.25 + 1.68x = 18.69
1.68x = 18.69 - 5.25
1.68x = 13.44
x = 13.44/1.68
Apply the division operation,
x = 8
Therefore, the required number of roses would be 8.
Hence, the correct answer would be option (D).
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ2
Help me on all questions it’s due soon
(1) The value of x is in the inscribed chords is 110⁰.
(2) The length of PT is 7.48 cm.
(3) The length of EC is 1.93.
What is the value of x?The value of x is calculated by applying intersecting chord theorem as shown below;
x = ¹/₂ ( 360 - ( 40⁰ + 100⁰ )
x = ¹/₂ (360 - 140 )
x = ¹/₂ (220)
x = 110⁰
2. The length of PT is calculated as follows;
The radius of the circle = length NT, is calculated as follows;
A = πr²
r² = A/π
r = √ (A/π)
r = √ (25π/π)
r = 5 cm = NT = NM
PT is calculated by applying Pythagoras theorem as follows;
NP = NM + MP
NP = 5cm + 4 cm
NP = 9 cm
PT = √ (9² - 5²)
PT = 7.48 cm
3. The length of EC is calculated by applying chord theorem as follows;
AE. ED = BE . EC
ED = AD - AE
ED = 12 - 3 = 9
Now, solve for EC;
AE. ED = BE . EC
3 x 9 = 14(EC)
27 = 14(EC)
EC = 27/14
EC = 1.93
Learn more about chord angles here: brainly.com/question/23732231
#SPJ1
Solve for x
CAN SOMEONE PLEAAAAAAAAAAAAAAAAAAAAAAAASE HELP ME
Answer:
x= 12
Step-by-step explanation:
First, we can note that the angles in a pentagon add up to 540°
We can, using the image below, conclude that angles a+b+c+d+f=540
Furthermore, a is on a straight line with 7x+4, and so on, so
180-(7x+4)= a
176-7x=a
180-(4x+1) = b
179-4x = b
180-(9x-6) = c
186 - 9x = c
180 - (4x+9) = d
171 - 4x = d
180 - (5x+4) = f
176 - 5x = f
a+b+c+d+f = 540
176-7x + 179-4x + 186 - 9x + 171 - 4x + 176 - 5x = 540
888 - 29x = 540
348 = 29x
x = 12
on her first two quizzes Barbara averaged nine correct answers on the next 3 quizzes she averaged 10 correct answers what decimal number shows Barbara's average score on all five quizzes
HELP ASAP
Answer:
0.98
Step-by-step explanation:
Assuming the number of questions on all the tests is 10,
9+9+10+10+10 / 50
You get 50 by doing 5 quizzes x 10 questions per quiz.
48/50 = 0.98
Let theta be an acute angle of a right triangle. Find the values of the other five trigonometric functions of theta.
The exact values of the remaining trigonometric functions are listed below:
Case 3: cos θ = 3 / 5, tan θ = 4 / 3, cot θ = 3 / 4, sec θ = 5 / 3, csc θ = 5 / 4
Case 4: sin θ = √11 / 6, tan θ = √11 / 5, cot θ = 5√11 / 5, sec θ = 6 / 5, csc θ = 6√11 / 11
Case 5: cos θ = 8√73 / 73, sin θ = 3√73 / 73, tan θ = 3 / 8, cot θ = 8 / 3, csc θ = √73 / 3
Case 6: sin θ = 1 / 2, cos θ = √3 / 2, tan θ = √3 / 3, sec θ = 2√3 / 3, csc θ = 2
How to find the exact values of trigonometric functions
In this problem we find four cases of trigonometric functions, whose exact values of remaining trigonometric functions must be found. The trigonometric functions are defined below:
sin θ = y / √(x² + y²)
cos θ = x / √(x² + y²)
tan θ = y / x
cot θ = x / y
sec θ = √(x² + y²) / x
csc θ = √(x² + y²) / y
Now we proceed to determine the exact values of the trigonometric functions:
Case 3: y = 4, √(x² + y²) = 5
x = √(5² - 4²)
x = 3
cos θ = 3 / 5
tan θ = 4 / 3
cot θ = 3 / 4
sec θ = 5 / 3
csc θ = 5 / 4
Case 4: x = 5, √(x² + y²) = 6
y = √(6² - 5²)
y = √11
sin θ = √11 / 6
tan θ = √11 / 5
cot θ = 5√11 / 5
sec θ = 6 / 5
csc θ = 6√11 / 11
Case 5: x = 8, √(x² + y²) = √73
y = √(73 - 8²)
y = 3
cos θ = 8√73 / 73
sin θ = 3√73 / 73
tan θ = 3 / 8
cot θ = 8 / 3
csc θ = √73 / 3
Case 6: x = √3, y = 1
sin θ = 1 / 2
cos θ = √3 / 2
tan θ = √3 / 3
sec θ = 2√3 / 3
csc θ = 2
To learn more on trigonometric functions: https://brainly.com/question/25618616
#SPJ1
Nick is saving up for a laptop. His dad gave him $50 to start a savings account. He earns $9 every hour from his job, which he also saves. Write the equation of a function that can be used to find y, the total Nick has saved after x hours.
fill in the blanks
y =__ x + __
Please help!!!!!! I need to make sure my answers r right
Given the equation of a circle. X^2+ y^2 - 6x + 2y +1 = 0, find the coordinates of the center and the length of the radius.
Coordinates for the center=
Length of the radius =
Answer:
I know the answer but you may select me as Brainliest
Please show the steps on how to answer this question. Thank you.
\(4^{log_{2}5 }\)
Answer:
25
Step-by-step explanation:
Factor the number 4----->2^2
=\left(2^2\right)^{\log _2\left(5\right)}
add the exponent rule-----> (a^b)^c=a^bc
=2^{2\log _2\left(5\right)}
apply log rule----->\:a^{\log _a\left(b\right)}=b
=5^2=25
hope it helps :>
There were 75 people at a concert. Twenty five percent of them were younger than 13. How many people were thirteen or younger.
Answer:
18
Step-by-step explanation:
\(0.25*75 = 18\\\) (must round down for population)
Maria’s dinner bill is 22.88 after tax is she wants to leave a 20% tip what will the total cost of the dinner be .
Answer:
$27.45
Step-by-step explanation:
hope this helps!
plz mark me brainliest!
You have 40 minutes to exercise at the gym, and you want to burn 300 calories total using both machines. How much time should you spend on each machine?.
One machine will be used for 30 minutes, while the other will be used for 10 minutes when you have 40 minutes to work out at the gym, and you want to use both equipment to burn a total of 300 calories.
Given that,
You have 40 minutes to work out at the gym, and you want to use both equipment to burn a total of 300 calories.
We have to find how long should you spend using each device.
We know that,
Let the number of minutes spent on one machine be x
and number of minutes spent on the other machine be y
Total time spent is 40 minutes
x+y=40 ---->equation(1)
Calories burnt in one machine 8 cal per min
Calories burnt in other machine is 6 cal per min
Total calories to be burnt is 300 calories
8x+6y=300 ----->equation(2)
Multiply 8 to equation(1) and subtract equation(2).
8(x+y=40)
8x+8y=320
8x+6y=300
-----------------
0+2y=20
y=20/2
y=10
Substitute y=10 in equation (1)
x+y=40
x+10=40
x=40-10
x=30
Therefore, One machine will be used for 30 minutes, while the other will be used for 10 minutes when you have 40 minutes to work out at the gym, and you want to use both equipment to burn a total of 300 calories.
To learn more about minutes visit: https://brainly.com/question/17354312
#SPJ4
one container is filled with a mixture that is 30% acid a second container is filled with the mixture that is 50% acid the second container is 50% larger than the first and the two containers are emptied into a third container what percent of acid is in the third container
Answer:
42%
Step-by-step explanation:
x is for the volume of the container
the amount filled in the first container=0.30x
the volume of the first container + 50% of the second=(x+x*50%)=1.5 x
the amount of acid in the second container= 1.5x * 50%=0.75x
total amount of acid in the third one =0.3x+0.75x=1.05x
total solution : x+1.5x=2.5x
percentage=1.05x/2.5x= 0.42 or 42%
graph the equation shown below by transforming the given graph of the parent function. y=2^{x}-5 y=2 x −5
The graph of the equation y = \(2^{x}\) - 5 is obtained by shifting the graph of
y =\(2^{x}\) downside by 5 units.
To find a graph of equation y = \(2^{x}\) - 5, we can start with the reference of the parent function y = \(2^{x}\) and also apply the necessary transformations. Initiating with the graph of the parent function y =\(2^{x}\) - 5.
This is an exponential function that passes through the point( 0, 1) and has a positive pitch. Apply the transformation -5 units over. This means we shift the entire graph over by 5 units. The point( 0, 1) will now come( 0,-4).thus, the graph of the equation y = \(2^{x}\)- 5 is attained by shifting the graph of y = \(2^{x}\) downcast by 5 units. The factual shape of the graph will act as that of the parent exponential function, but it'll be shifted over by 5 units.
Learn more about transformations;
https://brainly.com/question/30469223
#SPJ4
The correct question is given below-
Graph the equation shown below by transforming the given graph of the parent function. y= \(2^{x}\) obtain y=\(2^{x}\)-5.
PLEASE HELP DUE SOON 25 POINTS
Answer:
135.
A. 5
B. 7
C. 2
D. 15
E. 24
F. 2
143: 15
144: ( A even/odd number)
Explanation:
Did it in a rush cause i gotta do mines. if wrong, I'll try better next time.
Answer:
Five years ago, cheryl was d years old
a. cheryl is (d+5) years old
b. Brandon is two years older than Cheryl
so bradon = (d+5+2) = d+7 years old
c. sum of their ages now = d+5+d+7 = 2d+12
d. sum of their ages two years from now
= (d+5+2) + (d+7+2) = 2d+16
143.
Age of sarah = 5 years
clayton age = 5+x
according to questiom
5+x= 3*5
5+x = 15
x= 15 -5 = 10 years
144.
age of Adam = d years
age of Brandon = (d+b)
accordind to question
d+b = 2d
2d-d = b
d = b years
Use the figure to answer the question.
10 in.
3 in.
What is the area of the shaded portion to the nearest hundredth? Enter the answer in the box.
write at least 3 different expressions that are eqivalent to -1/2 (-12x + 30)
Answer:
6x-15 3(x-5) 3/2(2x-10)
Step-by-step explanation:
simplify
-1/2(-12x+30)
6x-15
factor in different ways
3(x-5)
3/2(2x-10)
Please solve both. I’ll give brainliest
Answer:
Part a: A square and a rhombus both have sides of equal length.
Let's calculate the length of each side.
\(\overline{PL}: \sqrt{(0-5)^2+(3-3)^2}=\sqrt{25+0}=5\\\overline{LA}\sqrt{(5-2)^2+(3-(-1))^2}=\sqrt{3^2+4^2}=5\\\overline{AN}:\sqrt{(2-(-3))^2+(-1-(-1))^2}=\sqrt{25+0}=5\\\overline{NP}:\sqrt{(-3-0)^2+(-1-3)^2}=\sqrt{3^2+4^2}=5\)
All sides measure 5. So it's at least a rhombus (think of a square as a rhombus with extra restrictions).
Part b: A square has extra restriction, more important all angles being 90° and diagonals having the same length. If you discussed about slopes it's easy to see that two sides are horizontal but the other two are NOT vertical. Which might be proof enough.
But the exercise looks about lengths on the plane, so let's measure diagonals.
\(\overline{PA}=\sqrt{(0-2)^2+(3-(-1))^2}= \sqrt{2^2+4^2}=\sqrt{20}\\\overline{LN}=\sqrt{(5-(-3))^2+(3-(-1))^2}= \sqrt{8^2+4^2}=\sqrt{80}\)
The two diagonals have different lengths, so the figure cannot be a square.
Watch help video
Find the length of side x in simplest radical form with a rational denominator.
9
60°
X
30°
Answer: We can use the trigonometric ratios of a 30-60-90-degree triangle to find the length of side x. In a 30-60-90 triangle, the side opposite the 30-degree angle is half the length of the hypotenuse, and the side opposite the 60-degree angle is √3 times the length of the side opposite the 30-degree angle.
Let's call the length of the hypotenuse h. Then, the length of the side opposite the 30-degree angle is h/2, and the length of the side opposite the 60-degree angle is (h/2)√3.
Using this information, we can set up the following equation:
(h/2)√3 = 9
Solving for h, we get:
h = 18/√3
To find the length of side x, we need to use the trigonometric ratio for the sine of the 60-degree angle:
sin(60°) = opposite/hypotenuse
sin(60°) = x/(h/2)
Substituting h = 18/√3, we get:
sin(60°) = x/((18/√3)/2)
Simplifying, we get:
sin(60°) = x/(9/√3)
√3/2 = x/(9/√3)
Multiplying both sides by 9/√3, we get:
x = (9/√3) * (√3/2)
Simplifying, we get:
x = (9/2)√3
Therefore, the length of side x is (9/2)√3 with a rational denominator.
Step-by-step explanation:
Lance and Brandon ! purchased items at the sporting goods store and spent the same amount of money. Lance bought 18 shirts for his team, and Brandon bought 12 of the same shirts for his team plus a $75 pair of shoes. How much did each shirt cost? how do you write this problem?
Answer:
1 Shirt costs $12.50
Step-by-step explanation:
First, set up an equation
18x=12x+75
Subtract 12x from both sides
6x=75
Divide both sides by 6
x=12.5
What is the sampling method that involves taking a random selection of people from a defined population?.
Find the equation of a line through the coordinate (3,−2) and parallel to the line represented by y=12x−2.
Answer:
Step-by-step explanation:
y + 2 = 12(x - 3)
y + 2 = 12x - 36
y =12x - 38
The required equation of the line passing through (3, -2) and parallel to the line represented by y = 12x - 2 is y = 12x - 38.
What is Slope?Slope is usually denoted by m.
Slope is defined as the change in the value of the y coordinates with respect to the change in the value of x coordinates.
Equation of a line in slope intercept form is y = mx + c where m is the slope and c is the y-intercept.
y-intercept is the y coordinate when x coordinate equals zero.
It is given that the required line is parallel to y = 12x - 2.
Comparing with the slope intercept form of the line, the slope of y = 12x - 2 is 12.
Slope of two parallel lines are equal.
So the slope of the required line = 12
It is also given that required line passes through the point (x, y) = (3, -2).
Substituting these values,
-2 = (12 × 3) + c
-2 = 36 + c
c = -2 - 36
c = -38
So the required equation is found by substituting m = 12 and c = -38.
y = 12x - 38
Hence the equation of the line passing through (3, -2) and parallel to the line y = 12x - 2 is y = 12x - 38.
To learn more on Slope, click:
https://brainly.com/question/3605446
#SPJ2
A random variable is said to be continuous if it: ______________ a. can have decimal values. b. is measured over an interval. c. has a countably infinite number of values.
d. has a countable number of values.
A random variable is said to be continuous if it is measured over an interval. Option b. "is measured over an interval" correctly describes a continuous random variable.
A continuous random variable can take on any value within a given interval, including decimal values. It represents measurements that can be infinitely divided and can take on an uncountable number of values. Examples of continuous random variables include the height of individuals, the time it takes to complete a task, or the temperature of a room. These variables are not restricted to specific discrete values and can vary continuously.
On the other hand, discrete random variables (options a, c, and d) can only take on a countable number of distinct values. Discrete random variables represent outcomes that are distinct and separate, such as the number of students in a class, the number of cars passing by, or the number of heads obtained when flipping a coin.
These variables do not have decimal values and cannot be measured over a continuous range.
Learn more about random variable here:
https://brainly.com/question/29077286
#SPJ11
The probability that a marksman will hit a target each time he shoots is 0. 89. If he fires 15 times, what is the probability that he hits the target at most 13 times?.
The probability that marksman will hits the target at most 13 times is 27.92%.
Explain the term binomial distribution?Let X be the quantity of times that target is hit and be a random variable. 15 rounds are fired, hence the number of trials ("n") is equal to 10 as a result. In a binomial distribution, "p" denotes the likelihood of success, and "q" is the likelihood of failure (where q = 1 - p). Since there is a 0.89 chance of striking the target, p = 0.89 and q = 0.11.The number of successes ("x") is the probability mass function for such binomial distribution.
P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ
We are interested in the likelihood that the target will be struck exactly five times, therefore the desired number of successes is five (i.e., x = 13).
P(X = 13) = ¹⁵C₁₃. (0.89)¹³ (0.11)²
P(X = 13) = 0.2792
P(X = 13) = 27.92%
Thus, the probability that marksman will hits the target at most 13 times is 27.92%.
To know more about the binomial distribution, here
https://brainly.com/question/9325204
#SPJ4
he estimated coefficient for BB is b2 = 0.085 (rounded to three decimal places), which is positive as expected. In words, this estimated value implies that a unit increase in the share of households with high-speed internet access increases GDP growth per capita by 0.085% (about one-tenth of one percent). The F-test discussed in Question 2b evaluates the overall fit of the model. To examine the statistical significance of the individual model components, we can use the t-ratio and p-value associated with each estimated coefficient. For example, the t-ratio for BB is 3.995 with p-value 0.0004. Under the null hypothesis for each explanatory variable, the coefficient equals zero and does not affect GDP growth. The t-ratio increases in absolute value and the p- value declines toward zero as the strength of the evidence against the null hypothesis increases. We should reject the null hypothesis and conclude that the coefficient is significantly non-zero if the p-value is less than 0.10. Otherwise, if the p-value is larger than 0.10, we should fail to reject the null hypothesis and conclude that the coefficient is not significantly different from zero. Here, the p-value for BB is less than 0.10, so BB is a statistically significant explanatory variable for Q2GDP. Based on the p-values in the GRETL output, is the coefficient associated with CHILD significantly different from zero (i.e., p-values less than 0.10)? Please briefly explain how we should interpret the estimated value of the CHILD coefficient.
The coefficient associated with CHILD is not significantly different from zero, since its p-value is greater than 0.10. The p-value for the CHILD coefficient is 0.208, which is greater than 0.10.
This means that we cannot reject the null hypothesis that the coefficient is equal to zero. Therefore, we cannot conclude that the coefficient is significantly different from zero.
The estimated value of the CHILD coefficient is -0.045, which means that a unit increase in the number of children per capita is associated with a decrease in GDP growth per capita by 0.045%. However, since the p-value is greater than 0.10, we cannot be confident that this decrease is real.
In other words, the data does not provide enough evidence to conclude that the number of children per capita has a significant impact on GDP growth per capita.
Here is a table of the p-values for the estimated coefficients:
Coefficient p-value
BB 0.0004
CHILD 0.208
As you can see, the p-value for the CHILD coefficient is much larger than the p-value for the BB coefficient. This means that there is much less evidence to suggest that the CHILD coefficient is significantly different from zero.
To know more about coefficient click here
brainly.com/question/30524977
#SPJ11
Dante is studying the growth of a particular type of plant. He is testing the effects of four growth factors: lighting, age, temperature, and humidity …. Here are the levels he's
The level from each growth factors is an illustration of combination
There are 90 ways of combining one level from each growth factors
How to determine the number of combination
From the complete question (see attachment), we have the number of levels in each growth factor is:
Lighting = 3Age = 5Temperature = 2Humidity = 3So, the number of combination (n) is:
n = 3 * 5 * 2 * 3
n = 90
Hence, there are 90 ways of combining one level from each growth factors
Read more about combination at:
https://brainly.com/question/11732255
If line AB =12 then what does AR equal
90-12
=78 I think the answer if this questions
if a figure is dilated by a factor of 5/6 ,the perimeter of the figure will change by a factor of
Answer:
1,2,3,6
Step-by-step explanation:
6x1, 2x3, 3x2, 6x1
i study hard and work my hardest
Answer:
5/6Step-by-step explanation:
The dilation will affect every side by a factor of 5/6
P = 2(w + l)The perimeter of the image:
P' = 2(5/6w + 5/6l)= 5/6*2(w + l) = 5/6PThe factor will be same: 5/6
PLEASE HELP!!
Fill in the blank. In the triangle below, x =_____. Round your answer to two decimal places.
Answer:
Step-by-step explanation:
Using Trigonometry: SOH CAH TOA,
tan (47°) = x/35Cross multiplying:
x = tan (47°) × 35
= 37.5329
= 37.53 to two decimal places
7х + Зу = 8
6x — Зу = 5
What is the value for x and y someone explain to me step by step how to.solve