Answer:
[tex]y=\frac{1}{6}x + 1[/tex]
Step-by-step explanation:
12y - 2x= 12
12y= 2x + 12
/12 /12
y = 1/6x +1
how do you get the expression?
Answer:
Step-by-step explanation:
The expression is (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000) in simplified as the decimal number = 4,300.067
A city has a cone shaped building for storing salt and sand for icy roads. Each building has radius of 25 feet and height of 18 feet. Find the volume of the building. Use 3.14 for the pie
.
(A) 471 ft3
(B) 35, 325 ft3
(c) 11, 775 ft3
(D) 1413 ft 3
Answer: The volume of a cone is given by the formula: V = (1/3) * π * r^2 * h
Where:
V is the volume
π is 3.14
r is the radius
h is the height
So in this case, using the given values:
V = (1/3) * 3.14 * (25^2) * 18
V = (1/3) * 3.14 * 625 * 18
V = (625 * 18 * 3.14) / 3
V = 35,325 ft^3
So the answer is (B) 35,325 ft3
Step-by-step explanation:
The beach play space has an area of 8 2/5 square yards. Molly has designed 3 1/10 of this space to be water. How much space is left over for sand? Select all the parts that make up your answer.
The space left for the sand is [tex]5\frac{3}{10}[/tex] square yards.
What are Mathematical operators??In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:
Operands: An operation uses operands, which are numbers. Depending on the type of operation, different terms are applied to the operands.
Given the total space for beach play = [tex]8\frac{2}{5}[/tex] square yards
[tex]8\frac{2}{5}[/tex] square yards = 42/5 square yards
and space for water = [tex]3\frac{1}{10}[/tex] square yards
[tex]3\frac{1}{10}[/tex] square yards = 31/10 square yards
let us assume the rest of the area for the sand
area of sand = total area - space for water
area of sand = 42/5 - 31/10
area of sand = (42(2) - 31)/0
area of sand = (84 - 31)/10
area of sand = 53/10
area of sand = [tex]5\frac{3}{10}[/tex] square yards
Hence the space left is [tex]5\frac{3}{10}[/tex] square yards.
Learn more about Mathematical operators;
https://brainly.com/question/8959976
#SPJ1
round 202.2 to the nearest whole number
Answer:
it can't be rounded so the answer is just 202
Step-by-step explanation:
Need help using supplementary and vertical angles. Pt.2
The following are the measures of the vertical angles:
m∠EBF = 30°m∠ABC = 80°m∠DBE = 65°m∠ABG = 125°How to evaluate for the vertical anglesm∠EBF = m∠ABC = (3x + 15)° {vertical angles}
(3x + 15)° + (20x - 10)° + 60° = 180° {supplementary angles}
23x + 65° = 180°
x = (180° - 65)/23 {make x the subject}
x = 5
so;
m∠EBF = 3(5) + 15 = 30°
m∠ABC = m∠DBE = (2x + 14)° {vertical angles}
(2x + 14)° + (3x - 1)° = 180° {supplementary angles}
5x + 15° = 180°
x = (180° - 15)/5 {make x the subject}
x = 33°
so;
m∠ABC = 2(33) + 14° = 80°
m∠DBE = m∠CBG = (5x + 5)° {vertical angles}
(5x + 5)° + (x + 48)° + 55° = 180° {supplementary angles}
6x + 108° = 180°
x = (180° - 108°)/6 {make x the subject}
x = 12
so;
m∠EBF = 5(12) + 5 = 65°
m∠ABG = m∠EBG = (137 - 2x)° {vertical angles}
(137 - 2x)° + (5x)° + 25° = 180° {supplementary angles}
3x + 162° = 180°
x = (180° - 162)/3 {make x the subject}
x = 6
so;
m∠EBF = 137 - 2(6) = 125°
Therefore, the vertical angles m∠EBF, m∠ABC, m∠DBE, and m∠ABG have the measures 30°, 80°, 65°, and 125° respectively.
Know more about angles here: https://brainly.com/question/68367
#SPJ1
too late
timed out and gave new question
Answer:
f(- 2) = 5
Step-by-step explanation:
f(- 2) with x = - 2 in the interval x < 2, then f(x) = 3 - x , that is
f(- 2) = 3 - (- 2) = 3 + 2 = 5
if Josh were two years older than 25 times his current age ,he would be the age of his grandfather. If his grandfather is 77 years old, how old is Josh?
Answer:
Step-by-step explanation:
let Josh's current age be x.
2+ 25 times his current age= 25x+2
25x+2=77
25x= 77-2
= 75
x= 75/25
=3
Is the line y 3x 7 parallel or perpendicular to 3x 9y 9 explain your answer?
The slopes 3 and -1/3 are the opposites of one another. So the line y = 3x - 7 is perpendicular to line 3x + 9y = 9.
In the given question, we have to explain the line y = 3x - 7 is either parallel or perpendicular to 3x + 9y = 9.
The given equation is y = 3x - 7.
y = mx+ c is the line's equation in the slope-intercept form.
By comparing this to the preceding equation, we can determine that this line's slope is 3 and its y-intercept is -7.
Lines with equal slopes are said to be parallel. Lines that are perpendicular will have a slope product of -1.
3x + 9y = 9
We can write this equation as
9y = -3x + 9
Divide by 9 on both side, we get
y = -3/9 x + 9/9
y = -1/3 x + 1
Now the slope is -1/3 and y-intercept is 1.
Hence, the slopes 3 and -1/3 are the opposites of one another. So the line y = 3x - 7 is perpendicular to line 3x + 9y = 9.
To learn more about parallel and perpendicular of line link is here
brainly.com/question/29076164
#SPJ4
The complete question is:
Is the line y = 3x - 7 parallel or perpendicular to 3x + 9y = 9? Explain your answer.
at the city museum, child admission is $5.20 and adult admission is $9.10. on saturday, 162 tickets were sold for a total sales of . how many child tickets were sold that day?
The number of child tickets sold on Saturday is 5.
We know that at the city museum, the child admission is $5.20 and adult admission is $9.10. We also know that on Saturday 162 tickets were sold for a total sales of $1491.60.
We can use this information to find the number of child tickets sold on Saturday. We can set up an equation with the total sales and the price of the tickets.
Let x be the number of child tickets sold.
x(5.2) + (162-x)(9.10) = 1491.60
The equation represents the total sales by the number of child tickets sold multiplied by the price of child admission, and the number of adult tickets sold multiplied by the price of adult admission.
We can solve for x by isolating it and substituting the given values:
x(5.2) + (162-x)(9.10) = 1491.60
x*5.2 + (162-x)*9.10 = 1491.60
5.2x + 1472.20 - 9.10x = 1491.60
-3.9x = -19.40
x = 19.40/-3.9
x = 5
So, the number of child tickets sold on Saturday is 5.
Solve more problems on tickets at : https://brainly.com/question/14001767
#SPJ4
Express the following fraction in simplest form, only using positive exponents.
-6s-2/-3(84)²
The numerator (top) and denominator (bottom) of a fraction are said to be in their simplest form when they share no factors. Example :
-6s-2/-3(84)²
How to Find the Simplest Form of a Fraction?If a fraction's top and bottom are whole numbers that are coprime to one another, it is said to be in its simplest form.It's easy to figure out how to simplify any fraction. By reducing the fraction's numerator and denominator by the greatest common factor that splits them both in half, we can simplify the numerator and denominator. The denominator and numerator should both remain whole numbers after division. Reducing fractions is another name for this fractional arithmetic procedure.Because the common component "c" is subtracted from both the numerator and the denominator, if the fraction is, for instance, ac/bc, then the simplified form of ac/bc will be a/b.ac/bc = a/b
Example :
-6s-2/-3(84)²
-6s-2/-3(84)^2 = 0
-6·s-2/-3·(84)^2 = 0
6s = 4704
s = 4704/ 6 = 784
s = 784.
To Learn more About fraction Refer To:
https://brainly.com/question/78672
#SPJ1
What is the y-intercept of y =- 3 7xy − 3 − 7x?
The given expressions y =- 3+7x and y= − 3 − 7x are compared with the general form of slope y=mx+c. And the y-intercept of both is found to be -3.
A line's slope, often known as its gradient, is a numerical value that represents the line's steepness and direction. This slope provides the ratio of the rise in y when x rises by a specific amount. Therefore, this may be calculated using the basic formula y=mx+c, where c stands for the y-intercept and m for the slope.
Given the expressions are y = -3+7x and y= -3-7x. Compare these two expressions one by one with the general form of the slope. By comparing the first expression we get, the slope as 7 and the y-intercept as -3. Similarly, comparing the second expression we get, the slope is -7 and the y-intercept is -3.
Therefore, the required answers are -3 and -3.
The complete question is -
What is the y-intercept of y =- 3+7x and y= − 3 − 7x?
To know more about the slope:
https://brainly.com/question/29006583
#SPJ4
What reflection of the
parallelogram ABCD results in image A' B' C' D?
D'
D
A
A'
-6 -4 -2
Ay
5
3
1
O
C'
C
2
B
B'
4
6
x+
X
When a parallelogram is reflected in an axis, the resulting image is also a parallelogram, with the same area and opposite angles.
What reflection of the parallelogram ABCD results in image A' B' C' D?The sides of the two parallelograms are parallel to each other and the corresponding sides are of equal length.For the reflection of the parallelogram ABCD, the image of A' B' C' D would be a parallelogram with the same area and opposite angles as the original figure. The sides of ABCD and A' B' C' D would be parallel to each other, and the corresponding sides would have equal lengths.To reflect a parallelogram, the axis of reflection should be parallel to one of the sides of the parallelogram. The reflection of the side AB of the parallelogram ABCD will be the side A' B' of the image. Similarly, the reflection of the side CD would be C' D', the reflection of the side BC would be B' C', and the reflection of the side AD would be A' D'.By reflecting a parallelogram ABCD along an axis, the image A' B' C' D is created. The two parallelograms have the same area and opposite angles, and the sides of the two figures are parallel to each other and the corresponding sides are of equal length.To learn more about parallelograms refer to:
https://brainly.com/question/970600
#SPJ1
Find the diameter of the object.
diameter:
the diameter is multiple by two of the radius
we have 20 identical (indistinguishable) apples. how many different ways are there to place the apples into 6 (distinguishable) boxes, if each box is required to have at least two apples in it.? g
There are 3060 ways to place 20 identical apples into 6 distinguishable boxes.
Here we have been given that there are 20 apples that are identical in nature but distinguishable boxes.
Now we see that there have to be at least 2 apples in every box.
Now the formula for combination things states that when n number of similar objects need to be placed in x distinguishable things where at least a number of things must be placed is
ⁿ ⁻ ᵃCₓ ₋ ₐ
here n = 20
x = 6
a = 2
Hence we get
²⁰ ⁻ ²C₆ ₋ ₂
= ¹⁸C₄
= 18! / (14! X 4!)
= (18 X 17 X 16 X 15)/4 X 3 X 2
= 3 X 17 X 4 X 15
= 3060 ways
To learn more about Combination visit
https://brainly.com/question/29110744
#SPJ4
For every hour that Jill worked,she made $10. Write an equation to model how much money she can make
jill makes $10 for every hour. so she makes 10x amount of money, where x stands for the number of hours.
For every hour that Jill worked, she made $10. So, the amount of mony that jill can make can be written in the form of a linear equation. the standard equation for linear model is
y = mx + b
in this case, x shows the input, y shows the output, m shows the amount earned per hour and b would be the fixed amount she ears, which will be 0 in this case.
therefore, the amount of money she earns will be
y = 10x
A continuous response variable is portrayed in linear models as a function of one or more predictor variables. They can assist you in analyzing experimental, financial, and biological data, understanding and predicting the behavior of complex systems. A statistical technique used to construct a linear model is linear regression.
Learn more about linear model here:
https://brainly.com/question/29122305
#SPJ4
14:21 in the figure below, top enclose p s end enclose is a diameter of the circle with center o, and p, q, and s lie on the circle. the length of top enclose p q end enclose is 4 inches, the length of top enclose p s end enclose is 5 inches, and top enclose p s end enclose is perpendicular to top enclose q r end enclose. what is the length, in inches, of top enclose r s end enclose ?
The length of top enclose r s end enclose = √(4² + 5²) = √(16 + 25) = √(41) = approximately 6.4 inches.
Length of Top Enclose RSThe length of top enclose r s end enclose can be determined using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Since top enclose p s end enclose is a diameter of the circle, it is the hypotenuse of a right triangle formed by top enclose p s end enclose, top enclose p q end enclose and top enclose p r end enclose. Thus, the length of top enclose r s end enclose is the square root of the sum of the squares of the lengths of the other two sides, which are 4 inches and 5 inches.
In other words, the length of top enclose r s end enclose = √(4² + 5²) = √(16 + 25) = √(41) = approximately 6.4 inches.
Learn more about Length of Top Enclose RS here:
https://brainly.com/question/7921609
#SPJ4
Add. What is the answer
(5b^2-3b+2)+(2b-4)
Heya! Quick answer/step by step:
Add like terms. 5b^2 is not a like term, no other numbers finish in "b^2". -3b + 2b = -1b or -b, either one is correct. 2 - 4 = -2. So you would get...
5b^2 + (- b) + (- 2)
Hope that helps!
30 pointssssss math pls help
Answer:
45 acres of wheat
Step-by-step explanation:
let w represent wheat then corn is 3w , so
w + 3w = 180
4w = 180 ( divide both sides by 4 )
w = 45
3w = 3 × 45 = 135
that is
135 acres of corn and 45 acres of wheat
A skateboarding ramp is 20 in. high and rises at an angle of 14°.
How long is the base of the ramp?
Round to the nearest inch
The length of the base to the nearest inch is 37 inches
What are Angle of elevation and depression?Between the horizontal line and the line of sight, an angle called the angle of elevation is created. When the line of sight is upward from the horizontal line, an angle of elevation is created. In order to get the angle of elevation for an object at a distance of 10 units from the horizontal line (y=10) and 12 units from the observer w.r.t. the horizontal line (x=12), for instance, we write tan = 10/12, which can be simplified to tan = 5/6. The value of so obtained is tan-1 (5/6).Given the following parameters from the questions:
Height of the ramp = 10in
angle of elevation = 15degrees
Using the SOH CAH TOA identity
tan 15 = opp/adj
tan 15 = 10/B
B = 10/tan15
B = 10/0.2679
B = 37 inches
Hence the length of the base to the nearest inch is 37 inches.
To learn more about Angle of elevation refer to:
https://brainly.com/question/88158
#SPJ1
8+(2x3)-6 divided by 2
Answer:
4
Step-by-step explanation:
8+(2x3)-6=8
8/2=4
Answer: Correct Answer Is:11
Step-by-step explanation: I Use Calculator To Help
A decorator creates a scale drawing of a bedroom with a scale of 3 inches =5 feet. If the actual bedroom measures 24 feet long, how many inches long should the bedroom be in the scale drawing?
The bedroom should be 14.4 inches long in the scale drawing.
What is the proportion?
A proportion is an equation in which two ratios are set equal to each other.
If the scale of the drawing is 3 inches = 5 feet, that means that for every 3 inches on the drawing, it represents 5 feet in reality. To find how many inches the bedroom should be in the scale drawing, you can use the proportion:
(inches in scale drawing) / (feet in reality) = 3 inches / 5 feet
We know that the length of the actual bedroom is 24 feet. To find the length of the bedroom in the scale drawing, we can substitute 24 feet for the (feet in reality) in the proportion and solve for the (inches in scale drawing):
(inches in scale drawing) / 24 feet = 3 inches / 5 feet
Cross-multiplying gives:
(inches in scale drawing) = (24 feet)(3 inches / 5 feet) = 14.4 inches
Hence, the bedroom should be 14.4 inches long in the scale drawing.
To learn more about the proportion visit,
https://brainly.com/question/1496357
#SPJ1
what is the answer!!!??
The answer is in the image attached below. Sorry for the goofy looking arrow.
Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run? A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by. Select all that apply. You know the difference in the distances the boys ran, so this is a subtraction problem. You are finding the total distance the boys ran, so this is an addition problem. Dean ran part of the distance Sam ran, so this is a multiplication problem. The correct equation is s + 2.3 = 6.8. The correct equation is s – 2.3 = 6.8. The correct equation is 2.3s = 6.8.
You know the difference in the distance the boys ran, so this is an subtraction problem. The correct expression is s - 2.3=6.8
What is Distance?
Length is measured in distance. For instance, the length of a road equals its distance.
The most popular units of measurement for distance in the metric system are millimeters, centimeters, meters, and kilometers.
A scalar quantity known as distance measures "how much ground an object has traversed" while moving. An object's total change in position is referred to as displacement, a vector variable that measures "how far out of place an object is."
How far did Sam run ?
Step1:
Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km
Distance run by dean = 6.8 km
Distance run by dean = 2.3 fewer kilometers than Sam.
Let us assume that, distance run by same is s km
Step2:
Distance run by dean = s - 2.3
therefore,
s - 2.3 = 6.8
s = 6.8 + 2.3
s = 9.1 km .
Hence, The correct equation is s – 2.3 = 6.8 .
To learn more about distance of ran refers to;
https://brainly.com/question/26046491
#SPJ1
what is 20x (to power -4) / 27y² divide 8x ( to power -3) / 15y ( to power -5 )
Answer:25/18y^7x
Step-by-step explanation:(Multiply the numerator by the reciprocal of the denominator.)
20x^-4/27y^2*15y^-5/8x^-3
then simplify
20*15/27y^7(8x)
cancel the common factor and you will get the answer
angles formed by a transversal worksheet answer key
A transversal is a third line that crosses two other lines.
Lines on a plane that do not intersect are considered parallel lines in geometry. It is referred to as being parallel when two straight lines in a plane do not cross at any point.
Eight distinct angles may be obtained by drawing two parallel lines, a line across them, and then another line through that.
A key mathematical ability that calls for conceptual comprehension and clarity is the angles form. Worksheets on angles generated by parallel lines and transversals provide a variety of activities and problems based on angles that can aid students in learning about angles.
Correct question: What is the angles formed by a transversal called?
To know more about angles visit: brainly.com/question/28451077
#SPJ4
Help me with my Ixl diagnostic pls
Write your answer as a fraction or as a whole or mixed number.
9 3/5 + 4 4/5
Step-by-step explanation:
see attachment
hope this helps!
-Rishabh
Answer:
14 2/5----------------------------
Add up the mixed numbers in below steps:
9 3/5 + 4 4/5 = Split mixed numbers to whole and fraction9 + 4 + 3/5 + 4/5 = Add up13 + 7/5 = Convert the fraction to mixed number13 + 1 + 2/5 = Add up14 + 2/5 = Convert to mixed number14 2/5 Answer(14+x)/(x^(2)-4) is undefined when x equal
The value of the expression given is undefined when x equals 2 and -2.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is,
(14+x)/(x^(2)-4)
This can be written as,
[tex]\frac{14+x}{x^{2} -4}[/tex]
The value of the expression is undefined when the denominator equals 0.
Denominator is [tex]x^{2} -4[/tex].
[tex]x^{2} -4[/tex] = 0
[tex]x^{2}[/tex] = 4
x = √4
x = ± 2
Hence when the value of x is +2 or -2, the expression is undefined.
Learn more about Expressions here :
https://brainly.com/question/14083225
#SPJ1
What is 2 over 3 times 5 over 8?
31 over 24
16 over 15
7 over 11
5 over 12
The statement 2 over 3 times 5 over 8 is [2/(3×5)]/8 which is equal
to 16 over 15.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A fraction [2/(3×5)]/8 which is,
= {2/(3×5)/8}.
= {2/(15)/8}.
Now, Numerator 8 will multiply to numerator 2 which is,
= (2×8)/15.
= 16/15.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ1
What is law of substitution in math?
The meaning of substitution originates from Latin with the basic meaning of "in place of." The meaning of substitution in math is an absolute, 100% replacement in value.
Mathematics properties are statements that have been tested and proven to be true. These properties are used always throughout math. The substitution property of equality, just like the others, is particularly useful.
The substitution property of equality describes that one value can replace another value in an expression or equation and the value will stay the same. For instance, if the values of y and z are equal, then they are interchangeable.
To know more about substitution property of equality, here
https://brainly.com/question/28893191
#SPJ4
PLEASE HURRY WILL GIVE BRAINLIEST TO THE 1ST PERSON TO ANSWER
How is the volume of a solid object measured?
Responses
Cubic units
Watt
Length
Square meter