Value of x is 7 and value of y is 37 for the equations y=4x+9
y=x+30
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equations are y=4x+9 and y=x+30
Let us subtract both the equations
y-y=4x+9-x-30
0=3x-21
Add 21 on both sides
21=3x
Divide both sides by 3
x=7
Now let us plug in value of x in any of the equation to get y.
y=4(7)+9
=28+9
y=37
Hence, value of x is 7 and value of y is 37 for the equations y=4x+9
y=x+30
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The length of a ide of a triangle i in the extended ratio of 3:5:7. The perimeter of the triangle i 120cm. What are the length of the ide?
The height of the corresponding to the longest side is 25.03 cm
What is triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.Use the equation area = 1/2 * base * height to determine a triangle's surface area. Decide which side will serve as the triangle's base, then calculate the triangle's height from that base. After that, enter the height and base measurements you have into the formula.Given data :
Let the sides of triangles are 3x,5x and 7x.
And perimeter of the triangle is 120cm.
So , 3x + 5x +7x =120
15x = 120
x = 8
so, the sides are triangle are 3(8) = 24cm, 5(8) = 40cm , 7(8) = 56cm
so , the longest side is 56 cm.
Area of triangle = [tex]\sqrt{s(s - a)(s -b)(s-c)}[/tex]
here , s = 64 and a = 24, b = 40c = 56
= [tex]\sqrt{64*(64-24)(64-40)(64-56)}[/tex]
= [tex]\sqrt{64*(40)(24)(8)}[/tex]
=[tex]\sqrt{491520}[/tex]
= 701.08
So, the area of triangle is 701.08 cm 2 and the height corresponding to longest side
h = 2 x 701.08 / 56 = 25.03 cm
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Karia gave each of her 8 friends an equal number of flyers to pass out at the upcoming student government vote. She also gave each of them person 2 bags to carry their flyers. Karia had 200 items to hand out to students including the bags. Write an equation to represent this situation
PLEASE HELP!!! 10 POINTS!!
Answer:
8x + 8 * 2 = 200
Step-by-step explanation:
Let's assume that each friend received x flyers to pass out.
The equation would be:
8x + 8 * 2 = 200
8x = 184
x = 23
So each friend received 23 flyers and 2 bags, and in total, they received 23 * 8 + 8 * 2 = 200 items.
Pls help
Beatriz is in charge of setting up a banquet hall. She has five tables that
will seat six people each. If no more than 62 people will attend, how
many tables seating four people each will she need?
The number of tables with a seating of 4 people is 13.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Beatriz is in charge of setting up a banquet hall. She has five tables that will seat six people each. If no more than 62 people.
The number of the tables will be calculated as:-
Number = 62 / 4
Number = 13
Hence, the number of tables with a seating of 4 people is 13.
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I need help geometry 1 find the angles in the pictures
Answer:
f= 68
g= 88
h= 100
i= 114
Step-by-step explanation:
1. A 600g packet of biscuits costs $2. 40. Calculate How much would a 200g packet cost?
2. A 200g packet of Orea’s costs $2, Calculate How much would a 100g packet cost?
$0.80 required for a 200g packet cost and $0.01 required for a 100g packet cost
To find the cost of a 200g packet,
you can use the unit price,
which is the cost per gram of the biscuits.
To get the unit price, divide the cost of the 600g packet by its weight: $2.40 / 600g = $0.004/g.
Then multiply the unit price by the weight of the 200g packet to get its cost:
$0.004/g * 200g = $0.80.
To find the cost of a 100g packet of Orea's,
Use the same process as above:
$2 / 200g = $0.01/g.
Then multiply the unit price by the weight of the 100g packet to get its cost:
$0.01/g * 100g = $0.01.
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Which of the following is not an assumption of the general linear model? a. Linearity b. Normally distributed residuals c. Dependence d. Additivity.
Normally distributed residuals is not an assumption of the general linear model and hence option b is correct
Linear regression models relate to some assumptions about the distribution of error terms. If they are violated violently, the model is not suitable for drawing conclusions. Therefore, it is important to consider the suitability of the model for information before further analysis can be performed based on this model.
The fit of the model is related to the remaining behavior complying with the basic assumptions for error values in the model. When a regression model is constructed from a series of data, it should be shown that the model responds to the standard statistical assumptions of the linear model because of conducting inference. Residual analysis is an effective tool to investigate hypotheses. This method is used to test the following statistical assumptions for a simple linear regression model:
-Regression function is linear in parameters,
-Error conditions have constant variance,
-Error conditions are normally distributed,
-Error conditions are independent.
Normally distributed residuals is not an assumption of the general linear model and hence option b is correct
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if x=1y=2, what is the ratio of x4 to y4 ? A.1/16 B.1/2 C.1/1 D. 256/1
The ratio of the given expression is equal to 1:16.
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.
We apply the concepts of ratio and proportion every day, for example, while dealing with money in business or when preparing any meal, etc. Sometimes, pupils struggle to understand the relationship between ratio and proportion.
We have x=1 and y=2, and we have to find the ratio of x4:y4,
x=1 and y=2 (given)
[tex]x^4:y^4=(1)^4:(2)^4\\\\x^4:y^4=1:16=1/16[/tex]
the ratio of the given expression is equal to 1:16.
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Gloriana has a wire 7/8 foot long. She is going to cut it into twisties 1/6 foot long. How many twisties will she make?
A. 5 twisties
B. 51/4 twisties
C. 6 twisties
D. 61/4 twisties
Answer:
The answer is B. 5 1/4 twisties
What is the correct way to report the length of the rectangle in centimeters? Select one: a)15.60 cm b)15.6 cm c)15.600 cm d)16 cM
The correct way to report the length of the rectangle in centimeters would be (b)"15.6 cm".
A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal (360°/4 = 90°).
The general practice is to report measurements to the appropriate number of significant digits. In this case, "15.6 cm" accurately reflects the measurement to the nearest tenth of a centimeter and uses the proper unit symbol (cm). "15.600 cm" and "15.60 cm" include more significant digits than are necessary and "16 cM" uses an incorrect unit symbol.
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Simplify the expression
(Please show the work)
Use the distributive property to rewrite 5(a+9)
Answer:
5a + 45
Step-by-step explanation:
5(a+9)
5a + 45
Water is poured into a clear triangular prism as shown to the left. It takes 5 cubic inches of water to fill the prism to the height of 1 inch. 15. What is the area of the BASE of this prism?
The area of the base of this prism is 2. 5 square inches
How to determine the base area of the triangular prismIt Is important to note the properties of a triangular prism, they include;
It has five facesIt has nine edgesIt has six verticesIt is a polyhedron having two triangular bases and also three rectangular sides.The base is a triangle.The sides is rectangular.The triangular bases are equalFrom the information given, we have that;
Base area = 1/2 base × height
Substitute the values, we get
Base area = 1/2 × 5 × 1
Multiply the values
Base area = 2. 5 square inches
Hence, the value is 2. 5 square inches
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In which of the rectangles are the area and the perimeter the same number of units or square units?
In the second option (b) the rectangles have the area and the perimeter the same number of units or square units.
What are the perimeter and area?
The area is the region covered by shape or figure whereas the perimeter is the distance covered by the outer boundary of the shape. The unit of area is given by a square unit or unit2 and the unit of the perimeter is the same as the unit.
(a)
Area of a rectangle = length × breadth
=(8×6)
=48 feet²
Perimeter of the rectangle = 2(length + breadth)
=2(6+8)
=28 feet
(b)
Area of a rectangle = length × breadth
= (4×4) yards²
= 16 yards²
Perimeter of the rectangle = 2(length + breadth)
=2(4+4)
=16 inches
(c)
Area of a rectangle = length × breadth
=(9×4) inches²
= 36 inches²
Perimeter of the rectangle = 2(length + breadth)
=2(9+4)
=26 inches
(d)
Area of a rectangle = length × breadth
=(7×4) meters²
=28 meters²
Perimeter of the rectangle = 2(length + breadth)
=2(7+4)
=22 meters
Hence, In the second option (b) the rectangles have the area and the perimeter the same number of units or square units.
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find r in the qr factorization given a and q
Given matrices A and Q, the matrix R can be calculated as: R = Q^T * A.
The QR factorization is the factorization of a matrix A into an orthogonal matrix Q and an upper triangular matrix R. Given matrices A and Q, the matrix R can be calculated as:
R = Q^T * A
Where Q^T is the transpose of Q.
Note that this calculation assumes that Q is an orthogonal matrix, meaning that its transpose is equal to its inverse. If Q is not orthogonal, it will not have an inverse and the QR factorization cannot be calculated in this manner.
Therefore, Given matrices A and Q, the matrix R can be calculated as: R = Q^T * A.
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Draw an x-y graph that show the vertical profiles of pressure, density, and temperature in the troposphere. This means the vertical y-axis, which will be height or altitude, going from 0 to 10 km. You can draw three separate graphs, or combine them into one (the axes do not need to be precisely calibrated; you are showing the general trends of each parameter, so the shapes of the plots are important).
The vertical profiles for pressure, density, as well as temperature with in troposphere are displayed in an x-y graph.
Explain the relation of pressure, density, and temperature in the troposphere.Pressure altitude is temperature-adjusted density altitude.
In simple terms, it has a direct impact on an aircraft's performance parameters and is essentially the height at which the aircraft "thinks" it is performing. The performance of an airplane decreases with increasing density altitude and vice versa.Pressure and temperature have a direct and indirect relationship with density.
Density rises as pressure rises and temperature remains constant. Conversely, density falls as temperature rises while maintaining the same pressure. For every 10 hPa decrease in pressure or 3 °C rise in temperature, the air density will drop by around 1%.Thus, the vertical profiles for pressure, density, as well as temperature with in troposphere are displayed in an x-y graph.
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PLEASE HELP HURRY!!
A line passes through the points (1, 1) and (2, 8). Write its equation in slope-intercept form.
The slope-intercept equation of the line that includes the points (1, 1) and (2, 8) is y = 7x - 6.
What is the point-slope form?In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.Next, we would determine the linear equation representing the line which passes through the points (1, 1) and (2, 8) by using the point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 1 = (8 - 1)/(2 - 1)(x - 1)
y - 1 = 7(x - 1)
y = 7x - 7 + 1
y = 7x - 6
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Hello please please please help I really need help with this
Answer:
well if 4 is x and y is -6 but =2 then it's 8
Step-by-step explanation:
hope u have a good day
The Sugar Sweet Company is going to transport its sugar to market. It will cost $4500 to rent trucks, and it will cost an additional $250 for each ton of sugar transported.
solve both equation and Total cost to transport 13 tons of sugar
The cost of transporting 17 tons of sugar is $8750.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
here, we have,
It will cost $4500 to rent trucks,
and it will cost an additional $250 for each ton of sugar transported.
we know,
Multiplication and division do not separate the terms of an equation.
now,
The given information can be related as,
C = 250S + 4500.
Now, when tons of sugar is 17 we'll simply replace S with 17.
∴ C = 250(17) + 4500.
C = 4250 + 4500.
C = 8750.
Hence, The cost of transporting 17 tons of sugar is $8750.
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Which value of x is a solution to this equation?
2x2+7x−30
Question 2 options:
2. 5
5
-2. 5
-3
If the equation be 2x² + 7x – 30 then the solution to this equation be 2.5.
What is meant by equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality. The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
Let the given equation be 2x² + 7x – 30 = 0
Factorizing it as
(2x – 5) (x + 6) = 0
then we get
2x – 5 = 0 or x + 6 = 0
simplifying the equation we get
2x = 5 or x = –6
x = 5/2 or x = –6
x = 2.5 or x = –6
Therefore, the correct answer is option a) 2.5.
The complete question is:
Which value of x is a solution to this equation?
2x² + 7x – 30
a) 2. 5
b) 5
c) -2. 5
d) -3
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The illustration shows a wheelchair ramp from the side. The support at BC binds the ramp to the floor. Are Triangles ABC and ADE similar?
Triangle ABC is similar to triangle ADE by AA test of similarity
What is similarity in triangle?Similarity is a property which says that the respective angles of two triangles are of equal measure and corresponding sides are in proportion.
here, we have,
There are different types of similarity test by which we can prove the similarity of triangles.
We are given that BC is parallel to Line DE
As the lines are parallel the respective angle are corresponding angles
hence Angle D = Angle B
And Angle E = Angle C
And both triangle have angle A as common angle
By AA test of similarity we can say that the two triangles are similar
Hence by AA test similarity the two triangles are similar
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need some help with this third question
Answer:
276.46 in^3
Step-by-step explanation:
See the attached worksheet. The pencil balloon if formed by a cylinder and cone. Use the volume formulas for each of these shapes to calculate that shape's contribution to the total volume, and then add them.
The volume of the cylinder portion is 263.9 in^3.
The volume of the cone portion is 12.56 in^3
The sum is 276.46 in^3, which matches the first answer option.
Answer:
276.46 cubic inches
Step-by-step explanation:
Volume of the cylindrical part = πr²h, r= radius, h = height
Volume of a cone (1/3) πr²h, r= radius, h = height
For given dimensions
cylinder h = 21, cylinder r = 2
Volume of cylindrical part of balloon = π · 2² · 21 = 4 · 21 · π = 84π cubic inches
Volume of conical part of balloon = (1/3) π · 2² · 3 = 4π
Total volume = 84π + 4π = 88π = 276.46 cubic inches
Just to make sure, what is 0.4x2.5 equal?
Answer:
1
Step-by-step explanation:
You can think of this problem this way:
[tex]0.4*2.5=\frac{2}{5}*\frac{5}{2}=\frac{10}{10}=1[/tex]
Answer: 1
Step-by-step explanation:
there are two decimal places in total, keep that in mind
multiply everything by 10 to make whole numbers and multiply
4x25=100 because 4x5=20 and 4x20=4x10x2=80 and 20+80=100
remember those two decimals we counted, take that number, and move the decimal place over that many in your answer. 100 becomes 1
why not just use a calculator lol, you have internet access
Please calculate in the following in details
Jay is given 65% discount
What is percentage discount?Percentage discount is a discount that is given to a product or service that is given as an amount per hundred
Percentage discount can be gotten with the formula below:
Discount % = (Discount/Original Price) × 100.
From the question,
Jay pays 27300, instead of 42000
Using the percentage discount above
Percentage Discount = 27300/42000 x 100
Percentage Discount = 65%
Hence, jay got 65% discount from the school
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1. Here are a few pairs of positive numbers whose sum is 50.
first number
second number
product
1
49
2
48
10
40
a Find the product of each pair of numbers.
b. Find a pair of numbers that have a sum of 50 and
will produce the largest possible product.
c. Explain how you determined which pair of
numbers have the largest product.
Activate Wir
Go to Settings to
The pair of numbers that have a sum of 50 and will produce the largest possible product is 10 and 40, with a product of 400. This was determined by comparing the products of each pair and determining which is the largest.
a. The product of the first pair of numbers is 1 x 49 = 49, the product of the second pair of numbers is 2 x 48 = 96, and the product of the third pair of numbers is 10 x 40 = 400.
b. The pair of numbers that have a sum of 50 and will produce the largest possible product is 10 and 40.
c. To determine which pair of numbers have the largest product, we need to compare the products of each pair and determine which is the largest. In this case, the pair of 10 and 40 have the largest product of 400.The pair of numbers that have a sum of 50 and will produce the largest possible product is 10 and 40, with a product of 400. This was determined by comparing the products of each pair and determining which is the largest.
The complete question is :
What are a few pairs of positive numbers whose sum is 50 and which have the largest possible product?
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refer to the t-account below: raw materials debit credit balance 15,000 (9) 75,000 (5) 85,000 balance 25,000 entry (5) could represent which of the following?
The amount of raw materials in Entry (5), which would raise the raw materials balance from $15,000 to $25,000, might cost $85,000.
Entry (5) can refer to a $85,000 purchase of raw materials. The raw materials balance would rise from $15,000 to $25,000 as a result. The raw materials account's balance is shown in the t-account above both before and after the entry. The raw materials balance was $15,000 prior to this entry. The raw materials balance is now $25,000, an increase of $10,000 after this input. This increase is attributable to the $85,000 purchase of raw materials. This transaction is documented in entry (5), which represents a $85,000 debit to the account for raw materials. The raw materials account now has a balance of $25,000 instead of just $15,000. This is how entry (5) may describe a $85,000 purchase of raw materials.
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can some one help meeee please ...
The price a customer pays for a printer which the company bought for $1700 is $2125 and the price the company paid for a printer which was sold to a customer for $2500 is $2000.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that a company sells its printers to customers in order to make a profit of 25%.
We have to find the price a customer pays for a printer which the company bought for $1700.
x-1700/1700=25%
x-1700=425
Add 1700 on both sides
x=$2125.
We need to find the price the company paid for a printer which was sold to a customer for $2500
2500-x/2500=25%
x=2000
Hence, the price a customer pays for a printer which the company bought for $1700 is $2125 and the price the company paid for a printer which was sold to a customer for $2500 is $2000.
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What Is The Answer To This Problem??
A financial manger ha $14,000 to invet for her company. She plan to invet part of the money in
tax-free bond at 6% interet rate and the reminder in taxable bond at 9%. She want to earn $1005
per year in interet from the invetment. Find the amount he hould invet at each rate
Answer:
she should charge $10 for interest or even more is she wants to make $1005 per year from investing
What is the solution to the system of equations?
{y=7x+11
y=−3x+1
Enter your answer as an ordered pair, like this: (42, 53)
The solution to the system of equations ordered pair is (-1, 4).
What exactly is an equation system?A simultaneous equation is any one or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is a simultaneous equation.the solution to the system of equations {y=7x+1 , y=−3x+1
Given:
a collection of equations
Equation 1 is y = 7x + 11.
Equation 2: y = 3x + 1.
Equation 1's y value is changed to equation 2's value.
7x + 11 = -3x + 1
10x = -10
x = -1
And y = 4
Consequently, the answer is (-1, 4).
The solution to the system of equations ordered pair is (-1, 4).
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The Joseph family took out a $175,000, 25-year mortgage at an APR of 4%. The assessed value of their house is $9,000. The annual property tax rate is 97.22% of assessed value. What is the annual property tax?
The annual property tax for the Joseph family is $8749.8.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
The Joseph family took out a $175,000,
25-year mortgage at an APR of 4%.
The assessed value of their house is $9,000.
The annual property tax rate is 97.22% of assessed value.
The annual property tax = 9000 x 97.22/100
The annual property tax = $8749.8
Therefore, the annual property tax = $8749.8
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