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Sandy baked 4 1/2 pounds of cookies. She divided the cookies equally among two friends and herself. How many cookies did each person get?
Answer:
Each person would get 1 1/2 pounds worth of cookies
Step-by-step explanation:
4 1/2 pounds of cookies divided equally among 3 people
4 1/2 pounds divided by 3 people = 1 1/2 pounds of cookies
Each person gets 1 1/2 pounds of cookies
For this question “ followed by a number will mean to the power of.
I need the solution for x,y, and z with steps please
(3*5)”4*(2*3)”5*(2*5)”7= 2”x*3”y*5”z
Please and thank you
The solution for x, y, and z is x = 2, y = 2, and z = 2.
To solve the equation (35)"4(23)"5(25)"7 = 2"x3"y*5"z, let's break it down step by step:
Simplify the expressions within the parentheses using the power of operator ("^").
\((35)"4 = 15^4\\(23)"5 = 6^5\\(2\times5)"7 = 10^7\)
Apply the power rule of exponents, which states that \((a^b)^c = a^{(b\times c).\)
\(15^4 \times 6^5 \times 10^7 = (15610)^{(4+5+7)\)
Simplify the expression within the parentheses.
\((15610)^{16 }= 900^{16\)
Express both sides of the equation in terms of prime factors.
\(900 = 2^2 \times 3^2 \times 5^2\)
quate the powers of the prime factors on both sides of the equation.
\(2^2 \times 3^2 \times 5^2 = 2"x \times 3"y \times 5"z\)
From this, we can conclude that x = 2, y = 2, and z = 2.
Therefore, the solution for x, y, and z is x = 2, y = 2, and z = 2.
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5. A hat contains 13 tickets with numbers 1 to 13 on them. If two tickets are drawn from the hat
without replacement. Find the probability that they are both odd numbers.
Answer:
3.5
Step-by-step explanation:
the original probability is 7/6 favoring odd
The area of the rectangle below is 18 square units. What is the width of the rectangle? if the length is 3 3/4
Answer:
5.76 units
Step-by-step explanation:
3 3/4= 3.125
18÷3.125=5.76
Sorry if I'm wrong.
Please mark me as Brainliest.
Four red, 8 blue, and 5 green balls are randomly arranged in a line. (a) What is the probability that the first 5 balls are blue
Answer:
it may be 3
Step-by-step explanation:
it may be bcz am not much good but still just trying
A survey was conducted among the students at Elmwood High School. What are the individuals in this study?
the types of sports
the music groups
the clubs
the students
Based on the information provided, the individuals in this study are: D. the students.
What is a study?A study can be defined as a strategic process or technique through which a scientist (researcher) observes and measures the effect of a risk factors, diagnostic test, or treatments on a particular population of interest.
What is a variable?In Mathematics, a variable can be defined as the measurable conditions, events, characteristics, individuals, or behaviors that a scientist (researcher) can control or observe when performing a study.
Based on the information provided, the individuals in this study are the students and these include the following subclasses:
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The students are the individuals in this study and is therefore denoted as option D.
What is a Sample?This refers to a group of people which are chosen or taken from a large population for measurement or surveys.
In this scenario, the study was conducted in a school with different types of students according to their grades such as freshman, sophomore etc. This therefore makes the individuals in the study to be students and is the most appropriate choice.
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I will give brainliest out please help me answer the unsolved ones
For the given triangles:
(1) x = 5.4
(2) x = √23
(3) θ = 25.84 degree
(4) x = 9.5
(5) n = 41
(1) In the given triangle,
One angle = 16 degree
Perpendicular = x
Hypotenuse = 20
Since we know that
Sinθ = opposite side of θ/hypotenuse
Therefore,
⇒ sin 16 = x/20
⇒ 0.27 = x/20
⇒ x = 5.4
(2) In the given triangle,
Hypotenuse = 12 km
Base = 11 km
perpendicular = x
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ (12)²= (x)² + (11)²
⇒ 144 = (x)² + 121
⇒ x² = 23
Taking square root both sides we get,
Hence,
⇒ x = √23
(3) In the given,
Base = 20
Perpendicular = 42
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ (Hypotenuse)² = (42)² + (20)²
⇒ (Hypotenuse)² = 2164
Taking square root both sides,
⇒ (Hypotenuse) = 46.51
⇒ cosθ = Adjacent/hypotenuse
= 42/46.51
= 0.90
Taking inverse of cosθ,
⇒ θ = 25.84 degree
(4) In the given triangle,
One angle = 30 degree
Base = x
Hypotenuse = 11
Since we know that
cosθ = Adjacent/hypotenuse
Therefore,
⇒ cos 30 = x/11
⇒ √3/2 = x/11
⇒ x = 9.5
(4) In the given triangle,
Base = 40
Perpendicular = 9
Hypotenuse = n
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ n² = 9² + 40²
⇒ n² = 81 + 1600
⇒ n² = 1681
⇒ n = 41
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Recently many companies have been experimenting with telecommuting, allowing employees to work at home on their computers. Among other things, telecommuting is supposed to reduce the number of sick days taken. Suppose that at one firm, it is known that over the past few years employees have taken a mean of 5.4 sick days. This year, the firm introduces telecommuting. Management chooses a simple random sample of 80 employees to follow in detail, and at the end of the year, these employees average 4.5 sick days with a standard deviation of 2.7 days.
a) Describe the population in the context of this problem
b) Describe the parameter u in the context of this problem.
c) Describe the sample in the context of this problem.
d) Describe the statistic in the context of this problem
e) The firm would like to know if there is evidence that the true mean number of sick days for all employees of the firm has decreased after telecommuting was introduced. State the hypotheses. Use ?-0.10.
f) Check the assumptions. If you don't know if an assumption is satisfied based on the information provided, then state "We must assume
g) Calculate the test statistic
h) Find the p-value.
i) Make a decision.
j) State the conclusion in terms of the problem.
Answer:
A.) Population : All employees at a firm
B.) μ = 5.4
C.) Sample : 80 employees at a firm
D.) Sample mean, x bar = 4.5
Step-by-step explanation:
From the question :
E.)
H0: μ ≥ 5.4
H1 : μ < 5.4
F.)
If Pvalue < α ; Reject H0
G.)
Test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(4.5 - 5.4) ÷ (2.7/sqrt(80))
-0.9 ÷ 0.3018691
= - 2.98
H.)
Pvalue fro Zscore calculator, α = 0.10 = 0.002882
I.)
Decision :
0.002882 < 0.10
Since, Pvalue < α ; We reject the Null
J.)
We Can conclude that the true mean number of sick days for all employees of the firm has decreased after telecommuting was introduced
What is an equation in standard form of an ellipse centered at the origin with vertex (3, 0) and co-vertex (0, - 6) ?
An equation in standard form of the given ellipse is; x²/9 + y²/36 = 1
How to find the equation of an ellipse?We know that the general standard form of equation of an Ellipse is;
x²/a² + y²/b² = 1
where;
a is the vertex and b is the co-vertex.
Thus, the equation here is;
x²/3² + y²/(-6)² = 1
⇒ x²/9 + y²/36 = 1
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While watching a football game, Jordan decided to list yardage gained as positive integers and yardage lost as negative integers. After these plays, Jordan recorded 14, -7, and -9. What was the overall gain or loss?
Answer:
There is a loss of 2 yards.
Step-by-step explanation:
To find the overall gain or loss, we add or subtract there values.
Initially, we have 0 yards.
Records 14, so 0 + 14 = 14, that is, for now a gain of 14
Then loses 7, so 14 - 7 = 7, for now a gain of 7.
Then, 7 - 9 = - 2, so in all, there is a loss of 2 yards.
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
Can you please find and solve the unknown variable.
The value of x is; x = 3.14
Here, we have,
from the given diagram, we get,
there is a right angle triangle.
we have to find the value of x.
we know that,
Let the angle be θ , such that
cos θ = base / hypotenuse
here, we get,
cos 17 = 3/x
so, we have,
0.956 = 3/x
so, x = 3.14
Hence, The value of x is;x = 3.14
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Find the values of x and y.
2x 28 4y 28
Answer:
y=7
x°=15°
Step-by-step explanation:
First we see that there is a equilateral triangle (all angles and also sides should be equal to each other) meaning that 4y=28, which simplifies to y=7
Additionally, we can see that one of the acute angles of the equilateral triange is complementary with the 2x° angle, so 2x°+(the acute angle)=90°
Since the triangle is equilateral each angle must be equivalent and since there is only 180° in a triangle each angle is 180°/3=60°
so 2x°+(60°)=90°
simplify for x°
2x°=30°
x°=15°
1. Dave is a chef at a restaurant. The kitchen receives an order for 28 entrees. You have been
asked to cook 14 of these. How many entrees do you need to cook?
Answer:
You need to cook 14 entrees.
Step-by-step explanation:
In the given problem, Dave has been asked to cook 14 of the 28 entrees that the kitchen has received an order for. Therefore, he needs to cook 14 entrees.
8 times a number "n" added to the square of the number in algebraic expression.
Answer:
8n + n²
Step-by-step explanation:
given the fraction 10 over 19 what is the numberator? what is the denominator?
Here's the simple definition you're probably looking for:
The numerator is the top part of a fraction, and the denominator is the bottom part of a fraction
in this case:
\(\frac{10}{19}\)10 is the numerator and 19 is the denominator
I give brainliest! A person is going 80 miles per hour. How long does it take for the person to go 80 miles?
Answer:
1 hr
i think if im wrong im super sorry
Step-by-step explanation:
In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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An item was marked down 64% from its original price, x. The amount discounted was $30. Which equation can be
used to find the original price?
0.64(x) = 30
0.64(30) = x
30 +0.64 = x
x + 0.064 = 30
Answer:
0.64(x) = 30
Step-by-step explanation:
Hope that's correct.
A company makes two kinds of engineering pencils , Type I and Type II ( deluxe ) . Type I needs 2 min of sanding and 6 min of olishing . Type needs 5 min of sanding and 3 min of polishing . The sander can run no more than 66 hours per week and the olisher can run no more than 73 hours a week . A $ 3 profit is made on Type I and $ 5 profit on Type II . How many of each type be made to maximize profits ?
After solving by linear programming, the business needs create 100 Type I pencils and 80 Type II pencils to increase revenue.
LINEAR PROGRAMMING: WHAT IS IT?
A mathematical method called linear programming is used to maximise a linear objective function under the restrictions of linear equality and inequality. In a mathematical model whose requirements are expressed by linear connections, it is used to identify the best result.
With linear programming, this issue can be resolved.
Please define x as the quantity of Type I pencils produced and y as the quantity of Type II pencils produced.
Profit = 3x + 5y is the formula for the goal function.
2x + 5y 660 are the restrictions (sanding constraint)
(Polishing constraint): x ≥0 y≥ 0; 6x + 3y 730
Under these limitations, we wish to maximize the profit function.
The largest profit comes when x = 100 and y = 80,
with a profit of $740, according to software that can solve linear programming issues or a graphing calculator.
Thus, the business needs create 100 Type I pencils.80pencil for type II
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Solve sqrtx-11 + 7 = 19
Answer:
x = 155
Step-by-step explanation:
\(\sqrt{x-11} +7=19\)
\(\sqrt{x-11} =12\)
\((\sqrt{x-11} )^2=12^2\)
\(x-11=144\)
x = 155
The Tigers football team starts
their drive at their own 30-yard
line. After two plays, they are at
their own 37-yard line.
What is the equation in standard form?
What is the y intercept?
The equation in standard form is y = 3.5x - 68 and the y-intercept is -68.
The Tigers football team started their drive at their own 30-yard line and after two plays, they advanced to their own 37-yard line.
To find the equation in standard form, we can use the slope-intercept form:
y = mx + b
where y is the final yard line after two plays, x is the starting yard line, m is the slope, and b is the y-intercept.
The slope, m, represents the change in y divided by the change in x, or the "rise over run." In this case, the rise is 7 (the difference between the final yard line of 37 and the starting yard line of 30), and the run is 2 (the number of plays). Therefore:
m = rise / run = 7 / 2 = 3.5
We can plug this value into the slope-intercept form:
y = 3.5x + b
To find the y-intercept, we can plug in the starting yard line, x = 30, and the final yard line after two plays, y = 37:
37 = 3.5(30) + b
Simplifying:
37 = 105 + b
b = -68
Therefore, the equation in standard form is:
y = 3.5x - 68
And the y-intercept is -68.
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5/6 having denominator 35
Answer:( 175/6)
Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35
Find the missing length indicated x=
Using the concept of proportions and ratios on the similar triangles, the value of x is 48 units
What are similar triangles?Similar triangles are triangles that have the same shape but may differ in size. They have corresponding angles that are equal and corresponding sides that are proportional. In other words, the ratios of the corresponding sides of similar triangles are equal.
The concept of similar triangles is based on the fundamental property that corresponding angles in similar shapes are equal, and the corresponding sides are proportional.
To determine the value of x, we can apply the concept of proportions and ratio on the similar triangle;
x / 36 = 64 / x
Cross multiplying both sides
x * x = 36 * 64
x² = 2304
x = √2304
x = 48 units
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I need help solving this
Given
Radius : 6 cmTo find
Area of the semicirclewe know that
Area of a semicircle = πr²/2Inserting the value of radius
Area of the given semicircle = (3.14 x 6cm x 6cm)/2 Area of the given semicircle = 113.04cm²/2 Area of the given semicircle = 56.5 cm²IF YOU ANSER THIS ILL LITERALLY GIVE U 1$
What is the slope of the line that is perpendicular to the line that passes through the points (-2,6) and (1,-2)?
Answer: - 3/8
Step-by-step explanation:
Which number line shows the solution to −4 − (−1)?
A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to 4 is shown. Above this, another arrow pointing from 4 to 5 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to 4 is shown. Above this, another arrow pointing from 4 to 3 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from
Answer:
B a number line is shown from negative 5 to 0 to positive 5.
Jackie used a photocopier to reduce an image that was 4 inches wide and 6 inches long. If the reduced image was 4 inches long, how wide was the reduced image
The width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.
What is Area?An area is a unit of measurement used to describe the size of a region on a planar or curved surface. While a plane region or area refers to the area of a shape or planar lamina, a surface region or plane area refers to the area of an open surface or the boundary of a three-dimensional object.
Given:
The initial length of the image, l = 6 inches,
The initial width of the image, w = 4 inches,
The reduced length of the image, L = 4 inches,
The area of the initial image = The area of the reduced image,
l × w = L × W
Here W is the reduced width.
Substitute the values,
6 × 4 = 4 × W
W = 6 inches,
Therefore, the width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.
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Which of the following is a common multiple of 4 and 10?
A 100
B 104
C 90
D 110
Answer:
A) 100
Step-by-step explanation:
When looking for a common you can move up the times tables of each number until you find a matching pair. 10x10=100 and 4x25=100. By looking for common answers through the times tables you can more easily find a common multiple.
does anyone know the answer ?????
Answer:
4.4
Step-by-step explanation:
sin 15° = x/17
Multiply sin 15° by 17.
(Using a calculator)