The two snowmen took a combined six hours to construct, compared to the four hours it took to construct the first.
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
given
1st snowman took time t = 4 hours
2nd snowman take half of the first t / 2 = 2 hours
so total time
= t + t/2
= 4 + 2
= 6 hours
The two snowmen took a combined six hours to construct, compared to the four hours it took to construct the first.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
PLEASE HELP PICTURE ATTACHED
Answer:
11. ∠5 and ∠7 are corresponding angles
12. ∠1 and ∠8 are alternate exterior angles
13. ∠3 and ∠6 are alternate interior angles
14. ∠6 and ∠7 are consecutive interior angles.
15. ∠1 = 58
∠2 = 122
∠3 = 58
∠5 = 122
∠6 = 58
∠7 = 122
∠8 = 58
Please mark as brainliest if you found this helpful
Select the correct answer.
Which expression is equivalent to √48x^5, if x > 0?
O A.12³√3x
OB. 42³√3
O c. 4x²√3x
OD. 12x²√x
Step-by-step explanation:
O c. 4x²√3x expression is equivalent to √48x^5, if x > 0?
' I did he heard diamster of 76 ice. Whidh meekureman it dosef to the draunference of the
Since the diameter of this circle is 76 inches, a measurement which the circumference of this circle has include the following: C. 238.64 inches.
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Substituting the given parameters into the circumference of a circle formula, we have;
Circumference of circle, C = πD
Circumference of circle, C = 3.14 × 76
Circumference of circle, C = 238.64 inches.
Read more on a circle here: brainly.com/question/6615211
#SPJ1
Complete Question:
The diameter of a circle is 76 inches. Which measurement does the circumference of this circle have?
A. 123.45 inches.
B. 438.65 inches.
C. 238.64 inches.
D. 338.64 inches.
11,778 divide 26
Show work pls
Answer:
453
Step-by-step explanation:
To perform long division of 11,778 by 26, we follow these steps:
452
_____
26 ) 11,778
-104
------
157
156
----
21
Therefore, 11,778 divided by 26 is equal to 452 with a remainder of 21.
Hope this helps <3
Please give me Brainliest :)
The solutions to this problem
Answer: x<-2 or -2>x<1 or x>1
(-infinity,-2) U (-2,1) U (1,infinity)
Step-by-step explanation:
Solve this problem
Step by step
Answer:
x = 11.2
Step-by-step explanation:
We know that the second triangle is just a smaller scale of the bigger triangle.
So, first, we take
28 divided by 25 = 1.12
Then we take
10 times 1.12 = 11.2
So, x = 11.2
Helppppppp
Write the expression as a unit rate.
Joyce painted 8 window frames in 5 hours while earning money for college.
What was her painting rate in window frames per hour?
What was her painting rate in hours per window frame?
Her painting rate in window frames per hour will be;
⇒ 1.6 frames per hour
Her painting rate in hours per window frame will be;
⇒ 0.25 hours per window frame
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Joyce painted 8 window frames in 5 hours while earning money for college.
Here, Joyce painted 8 window frames in 5 hours while earning money for college.
Hence, Her painting rate in window frames per hour is,
⇒ 8/5
⇒ 1.6 frames per hour
And, Her painting rate in hours per window frame is,
⇒ 5/8
⇒ 0.25 hours per window frame
Thus, Her painting rate in window frames per hour = 1.6 frames per hour
Her painting rate in hours per window frame = 0.25 hours per window frame
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ1
When the inverse of a function is itself a function it is called?
When the inverse of a function is itself a function it is called self-inverse.
A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
This relationship is commonly symbolized as y = f(x)—which is said “f of x”—and y and x are related such that for every x, there is a unique value of y.
A self-inverse function ‘reverses itself’ to produce the original input.
A function f is self-inverse if it has the property that f(f(x))=x for every x in the domain of f. In other words, f(x)=f−1(x).
For example, 1x and 3−x are self-inverse.
To know more about self-inverse visit: brainly.com/question/29918577
#SPJ4
what is k if 1 1/3k=1/3
Answer: k = 11
Step-by-step explanation:
[tex]\frac{11}{3k} = \frac{1}{3} \\\\[/tex]
Cross multiply:
[tex]11 * 3 = 1*3k[/tex]
[tex]33 = 3k[/tex]
[tex]k = 11[/tex]
PLEASE HELPPP
Given the diagram below, which statement is true?
∠1 and ∠3 are vertical angles and congruent.
What is congruence?
In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
What are vertical angles?
The opposing angles form when two lines cross. They are constantly on par. In this illustration, the angles a° and b° are vertical. The term "vertical" refers to the vertex, not up or down, where they cross.
Here,
we have given a diagram and we have to determine which statement is true that satisfies the true conditions.
By applying congruent property. we get
∠1 = ∠3 are vertivally opposite angle.
This is the only condition that satisfy the true condition from given statement.
Hence, ∠1 and ∠3 are vertical angles and congruent.
To learn more about the congruent from the given link
https://brainly.com/question/1675117
#SPJ1
Find the volume of the cylinder to the nearest tenth. Use 3.14 for
4 in.
I
7 in.
in³
On solving the provided question we can say that - Height(h) = h; Radius(r) = r; Length(l) = l Volume of cylinder A(V)=Volume of cylinder B(v) => [tex]4\pi R^2H = \pi r^2h[/tex]
what is cylinder?One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.
Cylinder A
Height(h) = H; Radius(r) = 2R; Length(l) = L
Cylinder A
Height(h) = h; Radius(r) = r; Length(l) = l
Volume of cylinder A(V)=Volume of cylinder B(v)
[tex]4\pi R^2H = \pi r^2h[/tex]
To know more about cylinder visit:
https://brainly.com/question/3216899
#SPJ1
What is the sum of the greatest common factor of $3$ and $6$ and the least common multiple of $3$ and $6$?
The sum of the greatest common factor (HCF) and least common multiple (LCM) of 3 and 6 is 9.
Highest common factor (HCF) and Least common multiple(LCM)The H.C.F. defines the highest common factor present in between given two or more numbers, while L.C.M. defines the least common multiple number which is exactly divisible by two or more numbers.
factors of 3 are 1 and 3
factors of 6 are 1, 2, 3, and 6
3 = 1 × 3
6 = 2 × 3
LCM = 2 × 3
LCM = 6
HCF = 3
sum of HCF and LCM of 3 and 6 = 3 + 6
sum of HCF and LCM of 3 and 6 = 9
Therefore, 9 is the sum of the greatest common factor HCF least common multiple LCM of 3 and 6.
Know more about HCF and LCM here :https://brainly.com/question/26431349
#SPJ1
What is the volume of the rectangular prism? 5/4 5/2 3
The rectangular prism's volume is equal to [tex]$V=9.375 \mathrm{~m}^3$[/tex]. Prism volume (V) is equal to B ×h, where h is the prism's height and B is the area of the base.
What is the formula to rectangular prism?1.25 metres in length, 2.5 metres in width, 3 metres in height, and a diagonal length of 4.10030487 metres make up the total surface area. [tex]$\mathrm{S}_{\text {tot }}[/tex]=[tex]28.75 \mathrm{~m}^2$[/tex] , Latitudinally exposed area [tex]$S_{\text {lat }}=22.5 \mathrm{~m}^2$[/tex] , maximum surface area is [tex]$S_{\text {top }}=3.125 \mathrm{~m}^2$[/tex] , surface area of the ground is [tex]$S_{\text {bot }}=3.125 \mathrm{~m}^2$[/tex] so that the volume is [tex]$V=9.375 \mathrm{~m}^3$[/tex]
When determining the volume of a rectangular prism , we multiply its length, width, and height. The base's area multiplied by the height gives the rectangular prism its volume. Length, width, and height are the cubic units that make up a rectangular prism's volume. Any rectangular solid's volume, V, is equal to the sum of its dimensions, height, width, and depth. In terms of the area of the base, we might alternatively express the formula for a rectangular solid's volume. Size times width equals the base's area, B.
To learn more about rectangular prism refer to :
https://brainly.com/question/24284033
#SPJ1
A natural number is abundant if it is less than the sum of its proper divisors. What is the smallest abundant number
On solving the provided question, we can say that number 12 is the smallest natural number is abundant
What is natural number?Natural numbers are those employed in mathematics for counting and ranking. Cardinal numbers are the ones used for counting, and ordinal numbers are the ones used for organizing. The natural numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11... are the ones to use while counting or sorting them. Integer a sum that consists of integers and zero. not using decimals or fractions. Integers are not fractions or decimals. Although all integers are integers (as are all natural numbers), not all integers are also integers or natural numbers. For instance, the integer -5 is both an integer and a natural number, but it is neither.
number 12 is the smallest natural number is abundant
factor of 12 = 1,2,3,4,6,12,
1~1
2>1
3>1
4>2+1
.............
10> 1+2+5
11>1
therefore, number 12 is the smallest natural number is abundant
To know more about natural number visit:
brainly.com/question/17429689
#SPJ4
Complete question: A natural number is abundant if it is less than the sum of its proper divisors. What is the smallest abundant number?
1. |2x + z| + 2y
a = –2, b = –3, c = 2, x = 2.1, y = 3, and z = –4.2.
2. 4a – |3b + 2c|
Answer:
6 and -13
Step-by-step explanation:
Absolute ValueAbsolute Values are magnitudes (only positive values) of any values (be it positive or negative.)
Example: |4.5| = 4.5, |-6.7| = 6.7
Solution1. |2x + z| + 2y
= |2(2.1) + (-4.2)| + 2(3)
= |4.2 - 4.2| + 6
= 0 + 6
= 6
2. 4a - |3b + 2c|
= 4(-2) - |3(-3) + 2(2)|
= -8 - |-9 + 4|
= -8 - |-5|
= -8 - 5
= -13
dividing decimals up to 2 decimal places
1.0.2÷6.11
Answer:
its 6.11
6.11 ÷ 1 = 6.11
Calculated to 2 decimal places.
6. 1 1
1 6. 1 1
− 6
0 1
− 1
0 1
− 1
0
Find the measure of the exterior angle with 24 degrees
(3x+6) and (2x+18)
The measure of the exterior angle of the triangle is 114 degrees.
How to find the angles of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
The measure of the exterior angle of the triangle can be found using exterior angle theorem.
Therefore, the exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Hence,
24 + 2x + 18 = 3x + 6
2x - 3x = 6 - 18 - 24
-x = -36
divide both sides of the equation by -1
x = 36
Hence,
exterior angle = 3x + 6 = 3(36) + 6 = 108 + 6 = 114 degrees
learn more on triangles here: https://brainly.com/question/19627424
#SPJ1
The figure below is a scale drawing of a playhouse. In the drawing, the side of each house represents two and a half feet. Find the actual length of each segment.
5. The width of the house. = 30 feet
6. The height of the house. = 22.5 feet
7. The height of the first floor. = 12.5 feet
8. The height of the roof. = 10 feet
9. The width of the door. = 5 feet
10. The height of the door. = 7.5 feet
How to find the actual length of each segmentThe actual length of each segment is calculated by counting the units in the scale drawing and multiplying by the scale factor
In the problem, the scale factor is two and a half feet = 2.5 feet
5. The width of the house
number of units from the drawing = 12 units
actual length = number of units from the drawing * scale factor
actual length = 12 * 2.5 = 30 feet
6. The height of the house
number of units from the drawing = 9 units
actual length = 9 * 2.5 = 22.5 feet
7. The height of the first floor
number of units from the drawing = 5 units
actual length = 5 * 2.5 = 12.5 feet
8. The height of the roof
number of units from the drawing = 4 units
actual length = 4 * 2.5 = 10 feet
9. The width of the door.
number of units from the drawing = 2 units
actual length = 2 * 2.5 = 5 feet
10. The height of the door.
number of units from the drawing = 3 units
actual length = 3 * 2.5 = 7.5 feet
Learn more about scale drawing at:
https://brainly.com/question/12626179
#SPJ1
help i really don’t understand this
Answer:
45 degree
Step-by-step explanation:
45+45 90 +90 180
All triangles will have 180 degrees angle
use a table to organize your guesses
A jar is filled with 100 coins, all of which are nickels and dimes. The change in the jar is worth $6.75. How many coins are nickels, and how many are dimes?
Answer:
35 dimes and 65 nickels
Step-by-step explanation:
We will need use a system of equations to find the total number of nickels and dimes.
Because there are 100 dimes and there are only nickels and dimes, one equation is N + D = 100, where N is the total number of nickels and D is the total number of dimes.
Because a dime is worth $0.10, a nickel is worth $0.05, and the total change in the jar is worth $6.75, the second equation is 0.05N + 0.1D = 6.75
Substitution will be the easiest method to solve:
[tex]0.05N+0.1D=6.75\\N+D=100\\\\N=-D+100\\\\0.05(-D+100)+0.1D=6.75\\-0.05D+5+0.1D=6.75\\0.05D+5=6.75\\0.05D=1.75\\D=35\\\\N+35=100\\N=65[/tex]
What is the answer to 80.9-12.539
show a²-4= (a+ 2)(a-2) in diagram
The equation a²-4=0, which corresponds to the factorization of a²-4= (a+ 2)(a-2)
What is Factorization?Factorization refers to the process of breaking down a mathematical expression into simpler parts that can be multiplied together to give the original expression. For example, factorizing the expression x² + 4x - 12 would give (x - 3)(x + 4) as the factors.
In algebra, factorization is used to simplify expressions and to find the solutions of equations. For example, in the quadratic equation ax² + bx + c = 0, the first step in solving the equation is to factorize the quadratic expression ax² + bx + c. Once this is done, it becomes easier to find the solutions of the equation by setting each factor equal to zero and solving for x.
Factorization can also be used to simplify expressions in other branches of mathematics, such as number theory. For example, the prime factorization of a composite number is the representation of that number as a product of prime numbers.
Given:
The equation a²-4= (a+ 2)(a-2) is a factorization of a quadratic expression. It states that the expression a²-4 can be represented as the product of two binomials, (a+ 2) and (a-2).
This can be visualized as the graph of a parabola, where the x-intercepts of the parabola are -2 and 2. These are the solutions of the equation a²-4=0, which corresponds to the factorization of a²-4= (a+ 2)(a-2)
To know more about quadratic expression visit:
https://brainly.com/question/30098550
#SPJ1
Reasoning Which of these is the best estimate for 225% of 50? greater than O but less than 1. 50 greater than 1-50 but less than 2. 50 greater than 2. 50 but less than 3. 50 greater than 3. 50
The best estimate for 225% of 50 is (a) greater than O but less than 1. 50
What is another term for estimate?The maximum likelihood method will be used to calculate the point estimate as follows:
T, note the total number of trials.
List the number of accomplishments, S.
MLE = S / T should be used. Your point estimate is the outcome. Prior to explaining a "formal" method of approximation by rounding each number in the calculation to one significant figure, students must first estimate the result of a computation, use a calculator to determine the precise result, then compare the two results. The most accurate estimate is a definite estimate, as it is created by estimating the individual expenses for the various aspects of the project and then combining them into one estimate. Typically, bottom-up estimates are classified under this heading.
The best estimate for 225% of 50 is
= (225*50)/100
= 11250/100
= 112.5
So that, The best estimate for 225% of 50 is (a) greater than O but less than 1. 50
To learn more about estimate visit:
brainly.com/question/28416295
#SPJ4
Is 0 in a closed interval?
So the only boundary point of [0,∞) and (0,∞) is 0 itself. It is in [0,∞), so that set is closed. It is not in (0,∞), so that set is open.
In mathematics, a (real) interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in between. Other examples of intervals are the set of numbers such that 0 < x < 1, the set of all real numbers
the set of nonnegative real numbers, the set of positive real numbers, the empty set, and any singleton (set of one element).
Real intervals play an important role in the theory of integration, because they are the simplest sets whose "length" (or "measure" or "size") is easy to define. The concept of measure can then be extended to more complicated sets of real numbers, leading to the Borel measure and eventually to the Lebesgue measure.
Intervals are central to interval arithmetic, a general numerical computing technique that automatically provides guaranteed enclosures for arbitrary formulas, even in the presence of uncertainties, mathematical approximations, and arithmetic roundoff.
So the only boundary point of [0,∞) and (0,∞) is 0 itself. It is in [0,∞), so that set is closed. It is not in (0,∞), so that set is open.
To learn more about intervals:
https://brainly.com/question/13708942
#SPJ4
Jesse from Boston goes to his grandpa Isaac in New York by bus at an average speed of 35 mph and it takes him 6 hours. In a while, Jesse and Isaac go back from New York to Boston in Isaac's car at an average speed of 42 mph. How long does Jesse's trip from New York to Boston take?
Answer:
The Average Speed is 48mph
Step-by-step explanation:
I've done this problem before, I wish A+'s upon all that read this answer. take care man!
The time it takes for Jesse to complete his trip from New York to Boston is 5 hours.
How long does Jesse's trip from New York to Boston take?To calculate the time it takes for Jesse's trip from New York to Boston, we need to use the formula: time = distance / speed.
Given that Jesse traveled from Boston to his grandpa Isaac in New York at an average speed of 35 mph, and the trip took him 6 hours, we can determine the distance using the formula: distance = speed × time.
Distance = 35 mph × 6 hours = 210 miles.
Now, for the return trip from New York to Boston, Jesse and Isaac travel at an average speed of 42 mph. To find the time it takes, we divide the distance by the speed:
Time = 210 miles / 42 mph = 5 hours.
Therefore, Jesse's trip from New York to Boston takes 5 hours time.
Read more about time here: https://brainly.com/question/24295081
#SPJ2
4x² - 20x = -21????????
Answer:
x=7/2
x=3/2
Step-by-step explanation:
Answer: ax^2+bx+c=0
(4x^2+20x+20=0)
Step-by-step explanation:
It may not make sense but...
Add -20 to both sides of the equation.
4x-20x=-20
Add -20 to both sides of the equation.
4x^2-20x+20=-20+20
Simplify the expression.
4x^2+20x+20=0
I hope this was what you were looking for. :) If not I'm still glad to help.
A glass fish tank in the shape of a rectangular prism has a bace that measures 22 inches by 12 inches. Find the surface area if the height = 15 inches
Answer:
Surface Area = 2(22 x 15) + 2(12 x 15) + 2(22 x 12)
Surface Area = 660 + 360 + 528
Surface Area = 1,548 inches²
Step-by-step explanation:
To indirectly measure the distance across a river, Houa stands on one side of the river and uses sight-lines to a landmark on the opposite bank. Houa draws the diagram below to show the lengths and angles that she measured. Find PRPR, the distance across the river. Round your answer to the nearest foot.
According to the Houa's drawing the distance across the river PR is
198.95 feetHow to measure the distance PRThe length of line PR is calculated using the knowledge of similar triangles
While similar triangles is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent.
Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions
Examining the figure shown, the pair of equivalent sides are
PO and OC, PR and RE,
The solution is worked out using sides PO and OC, PR and RE,
PO / OC = PR / RE
let PR be equal to y such that PO = 140 + y
(140 + y) / 230 = y / 135
cross multiplying
135(140 + y) = 230y
Expanding
18900 + 135y = 230y
collecting like terms
18900 = 230y - 135y
95y = 18900
y = 198.95 feet
Hence PR = 198.95 feet
Learn more about similar triangles here:
https://brainly.com/question/29333623
#SPJ1
Forty students are in drama club. 3/8 of the students have a part in the spring play. How many student have a part
Answer:
15
Step-by-step explanation:
-/40 and 3/8 40/5=8 3x5=15
Answer:
15 out of 40 students have a part in the spring play.
Step-by-step explanation:
(3/8) * 40 = 15
Find the area of the shaded region
On solving the provided question we can say that - surface area of the following figure cuboid will be - 148cm²
what is surface area ?An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).
Total Surface Area = 2(lw + bw + lb)
Total Surface Area = [tex]2(24 + 30 + 20)[/tex]
Total Surface Area = [tex]148cm^2[/tex]
To know more about surface area visit:
https://brainly.com/question/2835293
#SPJ1
On solving the provided question we can say that - surface area of the following figure cuboid will be - 148cm²
what is surface area ?
An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).
Total Surface Area = 2(lw + bw + lb)
Total Surface Area = - 148cm²
To know more about surface area visit:
brainly.com/question/2835293
#SPJ1