Answer: the rectangle is 23 x 41
Step-by-step explanation:
x = length
2x - 5 = width
A = length x width = (x)(2x-5) = 943
2[tex]x^{2}[/tex] - 5x - 943 = 0
use quadratic equation to solve for x:
a = 2, b = -5, c = -943
roots are 23, -20.5
x = 23 (length)
2x - 5 = 2(23) - 5 = 46 - 5 = 41 (width)
Triangle ABC is a right triangle, with right angle B. Side AC has a length of 13. Side AB has a length of 5. Find the length of side CB.
The magnitude of length BC in the triangle ABC is equivalent to 8.49 units.
What is Pythagoras theorem?Pythagoras theorem states that -
"In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
Mathematically, we can write-
[tex]a^2 + b^2 = c^2[/tex]
Given is that ABC is a right triangle, with right angle at B. Side AC has a length of 13 units. Side AB has a length of 5 units.
Using the Pythagoras theorem in the triangle ABC, we get -
AC² = BC² + AB²
BC² = AC² - AB²
BC² = (AC + AB)(AC - AB)
BC² = (13 + 5)(13 - 9)
BC² = 18 x 4
BC² = 72
BC = √(72)
BC = 8.49 units
Therefore, the length of the side BC is equivalent to 8.49 units.
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Guillermo bought textbook and notebook at the booktore. The number of textbook wa three more than twice the number of notebook. He bought even notebook. How many textbook did he buy ?
The no: of textbooks Guillermo bought is 7
What are problem sums?Issue with the internal transfer concept Sum questions involve subtracting from one unknown and adding to another, leaving the original total amount unaffected. It's also referred to as the Constant Total idea.
How do you teach children to problem sums?Follow The Problem-Solving Process Step by Step.
Review Old Issues; Write Down What Doesn't Work; "3 Before Me"
Ask open-ended questions, promote grappling, place an emphasis on process over product, and use the techniques yourself!
Let the no: of notebooks be 2
The no: of textbooks are : 3+ (2*2)
=7
Hence, the total no: of books are 7
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There are 16 triangles and 4 squares. What is the simplest ratio of squares to triangles?
Answer:
4:1
Step-by-step explanation:
find the gcf: 4
divide by the gcf: 16/4 and 4/4
Graph the equation on the coordinate plane
Y=1/2x-3
Answer:
Step-by-step explanation:
Start at origin 0,0 make a point
go up 1 and over 2 make a point
connect with straight line
Which is the best definition of a boundary line for a linear inequality?
The line that divides the plane into an area that is triangular and an area that is rectangular.
The line that divides the plane into an area with solutions and an area that does not have solutions.
The line that divides the plane into four quadrants.
The line that divides the plane into eight quadrants.
Answer: The line that divides the plane into an area that is triangular and an area that is rectangular.
noah have the delivery person $20 to pay for his meal, including a tip. what percentage of the price before tax did he tip the delivery person
I need help please help
Answer:
4t + 109.99 = 347.95
Step-by-step explanation:
They bought 4 tickets so that is how we got 4t
they spent altogether $109.99 to make the total
347.95
Bonus : 1 ticket is 59.49
A daycare center has a weekly revenue of $21,000. The daycare director has created a monthly budget using the following percentages for expenses:
Percent
Employee Wages 42%
Building Rent 10%
Supplies 15%
Equipment 5%
Educational Licensing 2%
Food 10%
Utilities 10%
Maintenance 3%
Emergency/Repair 3%
Which balance sheet correctly represents the daycare's income, expenses, and balance?
Income
Amount
Weekly Income $21,000.00
Total Monthly Income $84,000.00
Expenses
Percent Amount
Employee Wages 42% $35,280.00
Building Rent 10% $8,400.00
Supplies 15% $12,600.00
Equipment 5% $4,200.00
Educational Licensing 2% $1,680.00
Food 10% $8,400.00
Utilities 10% $8,400.00
Maintenance 3% $2,500.00
Emergency/Repair 3% $2,500.00
$84,000.00
Balance
Income $84,000.00
Expenses $84,000.00
Balance $0
Income
Amount
Weekly Income $21,000.00
Total Monthly Income $91,000.00
Expenses
Percent Amount
Employee Wages 42% $38,220.00
Building Rent 10% $9,100.00
Supplies 15% $13,650.00
Equipment 5% $4,550.00
Educational Licensing 2% $1,820.00
Food 10% $9,100.00
Utilities 10% $9,100.00
Maintenance 3% $2,730.00
Emergency/Repair 3% $2,730.00
$91,000.00
Balance
Income $91,000.00
Expenses $91,000.00
Balance $0
Income
Amount
Weekly Income $21,000.00
Total Monthly Income $94,500.00
Expenses
Percent Amount
Employee Wages 42% $36,690.00
Building Rent 10% $9,450.00
Supplies 15% $14,175.00
Equipment 5% $4,725.00
Educational Licensing 2% $1,890.00
Food 10% $9,450.00
Utilities 10% $9,450.00
Maintenance 3% $2,835.00
Emergency/Repair 3% $2,835.00
$94,500.00
Balance
Income $94,500.00
Expenses $94,500.00
Balance $0
Income
Amount
Weekly Income $21,000.00
Total Monthly Income $42,000.00
Expenses
Percent Amount
Employee Wages 42% $17,640.00
Building Rent 10% $4,200.00
Supplies 15% $6,300.00
Equipment 5% $2,100.00
Educational Licensing 2% $840.00
Food 10% $4,200.00
Utilities 10% $4,200.00
Maintenance 3% $1,260.00
Emergency/Repair 3% $1,260.00
$42,000.00
Balance
Income $42,000.00
Expenses $42,000.00
Balance $0
The balance sheet that correctly represents the daycare's income, expenses, and balance is given as follows:
A) Income
Amount
Weekly Income $21,000.00
Total Monthly Income $84,000.00
Expenses
Percent Amount
Employee Wages 42% $35,280.00
Building Rent 10% $8,400.00
Supplies 15% $12,600.00
Equipment 5% $4,200.00
Educational Licensing 2% $1,680.00
Food 10% $8,400.00
Utilities 10% $8,400.00
Maintenance 3% $2,500.00
Emergency/Repair 3% $2,500.00
$84,000.00
Balance
Income $84,000.00
Expenses $84,000.00
Balance $0
What is balance sheet?A balance sheet is a financial statement that lists the assets and liabilities of a corporation at a certain point in time. It is one of the three primary financial statements—the other two being the income statement and cash flow statement—that are used to assess a company's performance.
The weekly income is of $21,000, while a month is composed by four weeks, hence the monthly income is of:
=4 x $21,000
= $84,000.
Then the percentages of each expenses are applied to find the values, for example, 42% of that is for employee wages, hence:
= 0.42 x 84,000
= $ 35, 280
From the details we get Employee Wages 42% of $35,280.00
Hence, the balance will be of zero and option A is correct.
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function rule to find f(7).
Answer: 196
Step-by-step explanation:
[tex]f(7)=(-7-7)^2 =196[/tex]
Jody has 3 red marbles, 6 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?
Answer: The ratio of red marbles to blue marbles is 3:6. This can be written as a fraction as 3/6, which simplifies to 1/2.
Step-by-step explanation:
To find the ratio of two quantities, you can divide the number of one type of item by the number of another type of item. In this case, the ratio of red marbles to blue marbles is 3 marbles / 6 marbles, which simplifies to 1/2.
It's important to note that a ratio is not the same thing as a percentage or a fraction. A ratio is a comparison of two quantities, while a percentage is a measure of a quantity relative to the total amount and a fraction is a division of one number by another.
any p/q combination other than 50%/50% will result in a higher sample size because p times q is in the numerator of the formula. true false
Using the formula of the combination and for the values of 'p' and 'q'. The statement is false.
What do you mean by combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.
What is the formula for combination?The formula is:
[tex]C(p,q) = \frac{p!}{q!(p-q)!}[/tex]
p=4 and put q=0 to 4
C(4,2) > C(4,0),C(4,1),C(4,3),C(4,4)
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Solve for q.
q=
13
Blank 1:
24
q
Answer: 35
Step-by-step explanation:
Using the trapezoid midsegment theorem,
[tex]\frac{13+q}{2}=24\\\\13+q=48\\\\q=35[/tex]
Rose chin deposited $900 in a new savings account. The amount for $1.00 compounded daily the account earns after 12 years at 5.25% interest is 1.878. Calculate the compound interest earned after 12 years.
The answer to this Question based on Compound Interest is 1690.2$
What is Compound Interest?
Compound interest is a type of interest that is calculated not only on the initial principal but also on the accumulated interest of previous periods. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal plus previously accumulated interest. It is the concept of earning interest on interest, which causes the total balance to grow at a faster rate than simple interest. Compound interest is often referred to as the eighth wonder of the world, as it is a powerful financial concept that can yield impressive results over a long period.
Initial money deposited = 900$
1$ turns into 1.878$ after 12 years of Compound Interest
hence by basic manipulation we can do like
900$ turns into 900 multiplied by 1.878 which comes out to b 1690$
Hence after 12 years final amount will be 1690$
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help help help help help help help help help help help help help help help help help help help help help help help help
Answer:
D
Step-by-step explanation:
It passes through -1 and has a negative gradient
Calculate the size of the following marked angles:
v, w, x and y.
The measures of the angles are v = 80°, y = 100°, w = 45°, and x = 55°.
What is a cyclic quadrilateral?An inscribed four-sided polygon in a circle is known as a cyclic quadrilateral. With the specified side lengths, it has the largest area feasible.
Given the quadrilateral inside a circle.
The angle v is given by:
45° +v + 55°=180°
v + 100° = 180°
v = 180° - 100°
v = 80°
Since the quadrilateral is cyclic, the sum of its opposite angle is 180°.
Therefore,
y + v = 180°
y + 80° = 180°
y = 100°
Using the property of cyclic quadrilateral, it follows:
w = 45° and x = 55°
Hence, the measures of the angles are v = 80°, y = 100°, w = 45°, and x = 55°.
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why does the normal distribution have an importance in statistics of wether or not iut appears in nature
The normal distribution have an importance in statistics of whether or not out appears in nature, because it fits several natural phenomena.
For exa. measurement error, heights, IQ scores, and physical activity measures all follow the normal distribution.
In this question we need to describe why does the normal distribution have an importance in statistics of whether or not out appears in nature.
We know that if we plot the probability distribution and it forms a bell-shaped curve. If the mean, mode, and median of the sample are equal then the variable has normal distribution.
A normal distribution is dependent on two parameters of the data set: mean and the standard deviation of the sample.
This characteristic of the normal distribution makes it extremely simple.
Also, the normal distribution is important because of the Central limit theorem.
It makes math easy - like calculating moments, correlations between variables, and other calculations that are domain specific.
So, the normal distribution have an importance in statistics of whether or not out appears in nature.
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the question is in the image
Answer:
1. The negative flips the parabola upside down so there is a maximum
2. The 1/2 means there is a vertical shrink
3. -3 means the graph moves to the RIGHT 3 units (X sign always changes)
4. +12 means the graph shifts up 12 units
Step-by-step explanation:
A line includes the points (-1,-4) and
(-3, 8). What is its equation in slope-
intercept form?
Answer:y=-6x-10
Step-by-step explanation:
The slope intercept form is y=mx+b
m=slope
b=y intercept
we can find the slope using the slope formula y2-y1/x2-x1
8-(-4)/-3-(-1)
12/-2
m=-6
substitute in the slope, and one of the points so solve for b
y=-6x+b
-4=-6(-1)+b
-4=6+b
b=-10
y=-6x-10
Answer:
y = -6x - 10
Step-by-step explanation:
(-1, -4), (-3, 8)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 8 - (-4) 8 + 4 12
m = ------------ = -------------- = ------------ = ------- = -6
x₂ - x₁ -3 - (-1) -3 + 1 -2
y - y₁ = m(x - x₁)
y - (-4) = -6(x - (-1))
y + 4 = -6(x + 1)
y + 4 = -6x - 6
-4 -4
------------------------
y = -6x - 10
I hope this helps!
Evaluate
9
g
+
2
h
+
5
g
9
+2h+5start fraction, 9, divided by, g, end fraction, plus, 2, h, plus, 5 when
g
=
3
g=3g, equals, 3 and
h
=
6
h=6h, equals, 6.
The evaluation of the given expression 9/g + 2h + 5 when g = 3 and h = 6 gives the result 20
How to evaluate a given expression?9/g + 2h + 5
When,
g = 3
h = 6
Substitute the value of g and h into the expression
9/g + 2h + 5
= 9/3 + 2(6) + 5
= 3 + 12 + 5
= 20
Therefore, the expression 9/g + 2h + 5 when evaluated gives the result 20
Complete question:
Evaluate 9/g + 2h + 5 when g = 3 and h = 6
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i need help to solve this!!
Answer:
Part A: A
Part B: 1 is the y-intercept and is 0 the horizontal asymptote
Step-by-step explanation:
Help with this please
The first set represents a function but the second case does not represent a function.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The value of 'y' for each value of 'x' must be distinct. Then the relation is a function. Otherwise, it will not be a function.
A) {(1, 0), (-2, 0)}
In the above relation, for each value of 'x' the value of 'y' is the same. Then the relation is function.
B) {(-2, 3), (1, 4), (3, 5), (-2, 6), (5, 7)}
In the above relation, at x = -2, the number of values of 'y' is 2. then the relation is not a function
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8th grade math problems I need help I will mark brainliest + 50 points
Step-by-step explanation:
just a question should I help you with all of them?
what is the domain and range of The function f : {4, 6, 8} → {2, 3} is defined as {(4, 2), (6, 2), (8, 2)}.
The definition of the domain of the function f: {4, 6, 8} ⇒{2, 3} over {(4, 2), (6, 2), (8, 2)} is given as {4,6,8}, while the range is given as 2.
What is function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Four main categories can be used to classify different sorts of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element. A relation between a domain and range is called a function when each value in the domain only has one value in the range.
Here,
function f : {4, 6, 8} → {2, 3} is defined as {(4, 2), (6, 2), (8, 2)},
domain={4,6,8}
range={2}
The domain of function f : {4, 6, 8} → {2, 3} is defined as {(4, 2), (6, 2), (8, 2)} will be {4,6,8} and range will be {2}.
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Which statement describes values of x and y such that x/y could be an irrational number?
A. The value of x is zero, and the value of y is an integer less than zero.
B. The value of x is the square root of an integer, and the value of y is an integer greater than zero.
C. The value of x is an integer less than zero, and the value of y is an integer greater than zero.
D. The value of x is a square root that can be simplified to an integer, and the value of y is an integer less than zero.
The statement describes values of x and y such that x/y could be an irrational number is B. The value of x is the square root of an integer, and the value of y is an integer greater than zero.
How to illustrate the irrational number?The square root of an integer for x and a positive integer greater than zero for y are described in the statement as values of x and y that could be irrational numbers.
We have provided x and y values that could be irrational numbers. Any real number that cannot be expressed as the quotient of two integers is considered an irrational number. Positive whole numbers are not considered negative integers, nor are negative integers, or numbers below zero.
Consequently, we can say that A, C, or D do not demonstrate the irrational numbers since they are all expressed as integers.
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(-2x + 9) + ( 3x - 4)
Temperatures in °F can be converted in °C using the formula
C=5(F-32)/9
Make F the subject of the formula
Give your answer in the form aC+b/c where a,b and c are all positive integers
Answer:
Step-by-step explanation:
To make F the subject of the formula, you need to solve for F in the equation C = 5(F-32)/9.
You can do this by first multiplying both sides of the equation by 9 to get rid of the fraction:
C * 9 = 5(F-32)
Then, you can distribute the 5 on the right side of the equation:
C * 9 = 5F - 160
Then, you can add 160 to both sides of the equation to isolate the F term:
C * 9 + 160 = 5F
Finally, you can divide both sides of the equation by 5 to solve for F:
F = (C * 9 + 160)/5
This gives you the final form of the equation:
F = (9C + 160)/5
In this form, F is the subject of the formula. a = 9, b = 160, and c = 5 are all positive integers.
Answer:
[tex]F=\dfrac{9C+160}{5}[/tex]
Step-by-step explanation:
Given equation:
[tex]C=\dfrac{5(F-32)}{9}[/tex]
Multiply both sides by 9:
[tex]\implies 9C=5(F-32)[/tex]
Divide both sides by 5:
[tex]\implies \dfrac{9C}{5}=F-32[/tex]
Add 32 to both sides:
[tex]\implies \dfrac{9C}{5}+32=F[/tex]
[tex]\implies F=\dfrac{9C}{5}+32[/tex]
Rewrite 32 as a fraction with denominator 5:
[tex]\implies F=\dfrac{9C}{5}+\dfrac{32 \cdot 5}{5}[/tex]
[tex]\implies F=\dfrac{9C}{5}+\dfrac{160}{5}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}+\dfrac{b}{c}=\dfrac{a+b}{c}:[/tex]
[tex]\implies F=\dfrac{9C+160}{5}[/tex]
Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the origin.
Use the polygon tool to graph the dilated figure.
The horizontal axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
The vertical axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
Polygon with coordinates: (-4, 4), (6, 8), (2, 2), (-4, 4).
The vertices of the dilated triangle are (-2, 2), (3, 4), and (1, 1).
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
The coordinates of the triangle are (-4, 4), (6, 8), and (2, 2).
The scale factor of the triangle is 1/2 centered at the origin. Then the coordinate of the triangle will be given as,
⇒ (-4/2, 4/2), (6/2, 8/2), (2/2, 2/2)
⇒ (-2, 2), (3, 4), (1, 1)
The vertices of the dilated triangle are (-2, 2), (3, 4), and (1, 1).
The image of the triangle and dilated triangle is given below.
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Answer: The other answer is incorrect, the graph below shows the correct answer.
Coordinates of each point
A: (3,4)
B: (-2,2)
C: (1,1)
I know this is late, but I wanted to help those in the future who needed help with the question. Good Luck <3
15 = 3t
Joe’s car has a 15 gallon fuel tank and an average fuel economy of 20 miles per gallon. He is planning a road trip where he’ll be driving on the freeway at 60 miles per hour for many hours. The equation above represents the time t (in hours) that it will take for his tank to be empty. What does the 3 represents?
A 3 is the product of his car’s fuel economy and the number of hours
B 3 is the ratio of his speed and his car’s fuel economy.
C 3 is the product of his car’s fuel tank capacity and his speed
D 3 is the ratio of his car’s fuel tank capacity and his fuel economy.
B) 3 is the ratio of his speed and his car's fuel economy.
What is speed?Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
Calculation:[tex]\frac{speed}{fuel economy} =\frac{\frac{60 miles}{hour} }{\frac{20 miles}{gallon} } \\\frac{speed}{fuel economy}={\frac{60 miles}{hour} .{\frac{gallon}{20 miles} }\\[/tex]
[tex]\frac{speed}{fuel economy}=\frac{3 gallons}{hour}[/tex]
Inserting this 3 in the given equation 15 = 3t and including each term, we see the units cancel out:
[tex]15 gallons = \frac{3 gallons}{hour}.t(hours)[/tex]
3 is the ratio of his speed and his car's fuel economy.
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1.25/0.06 = z−6 /2.4 help quickly
Answer:
z = 56
Step-by-step explanation:
I'll assume 1.25/0.06 = z−6 /2.4 is actuallY: 1.25/0.06 = (z−6)/2.4 (and not 1.25/0.06 = z−(6 /2.4)).
1.25/0.06 = (z−6)/2.4
1.25*(2.4) = (z−6)*(0.06) [Multiply both sides by 0.06 and then 2.4]
3 = 0.06z - 0.36
3.36 = 0.06z
z = (3.36/0.06)
z = 56
Find the slope of the line that passes through \left(10,8\right)(10,8) and \left(1,9\right)(1,9).
-2/3, is the slope of the line that passes.
What is slope?A line's steepness and direction are measured by the line's slope.
Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two different points on a line can be used to calculate the slope of any line.
A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.
Two locations located on a straight line can be used to determine a line's slope. We can use the slope of line formula if we know the two spots' coordinates. These two points' coordinates should be-
P1 = (x1, y1) and P2 = (x2, y2)
According to our question-
The slope equation is [y2-y1/x2-x1]. For substitution and solution, use the provided points.
12-8/4-10
4/-6
-2/3
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