Answer:
10.25
Step-by-step explanation:
Define the variable
Let x be the unknown number.
Therefore:
[tex]\begin{aligned}& \textsf{Four times a number}: \quad & 4x\\& \textsf{Twenty less than four times a number}: \quad & 4x-20\\& \textsf{Twenty less than four times a number is twenty one}: \quad & 4x-20=21\end{aligned}[/tex]
To find the number, solve the found equation for x:
[tex]\begin{aligned}\implies 4x-20&=21\\4x-20+20&=21+20\\4x&=41\\\dfrac{4x}{4}&=\dfrac{41}{4}\\x&=10.25\end{aligned}[/tex]
Therefore, the unknown number is 10.25.
As an improper fraction, this is ⁴¹/₄.
As a mixed number, this is 10 ¹/₄.
Answer:
x = 10.25
Step-by-step explanation:
Given that,
→ Twenty less than four times a number is twenty one.
The equation we form,
→ 4x - 20 = 21
Now the value of x will be,
→ 4x - 20 = 21
→ 4x = 21 + 20
→ x = 41/4
→ [ x = 10.25 ]
Hence, the number is 10.25.
Jeffrey simplified the algebraic expression and made an error. Find and fix the mistake.
(-2x²y³)*(3.5xºy)
(-2x8y¹2)(3.5y12)
(-2.3.5) (x³)(y¹².y)
13 -7.5x8y¹3
Using exponent properties, the simplified expression is given as follows:
-7x²y^4.
What is the property for the multiplication of exponents?For multiplication of exponents, when two terms of same base but different exponents are multiplied, we have to do two steps:
Maintain the base as is.Add the exponents.If the exponents also have constants multiplying each other, the constants are multiplied.
For this problem, the two factors are given as follows:
-2x²y³ and 3.5x^0y.
Hence:
Multiplying the constants: -2 x 3.5 = -7.For the exponents of x, we have that: x^(2 + 0) = x².For the exponents of y, we have that: y^(3 + 1) = y^4.Multiplying each term found above, we have that that the simplified expression is given as follows:
-7x²y^4.
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ALGEBRA 1 HW!! PLEASE HELP I WILL GIVE BRAINLYEST! also pls explain how u got your answer
Answer:
a. b is the width of the largest square if you look the sides match.
b. The area is b² because b*b is b²
c. a²+2ab+b² is the entire area.
d. above the actual c is the top right is a² the top right and bottom left is ab and the largest is b²
e. they must have the same equations.
Step-by-step explanation:
Which number rounds to 42.7 when rounded to the nearest tenth? (10 points)
a 42.07
b 42.62
c 42.64
d 42.73
Answer:
d 42.73
Step-by-step explanation:
if you were to round off the first 3 you wouldn't get 42.7 due to them not being above 5, but, if you were to round off 42.73 you would get 42.7 due to 3 being lower than 5 and it changing into 0
Graph the solution of the absolute value inequality on the number line. 4 > |x + 1| + 2
See attachment for the graph of 4 > |x + 1| + 2
How to graph the solution of the absolute value inequality on the number line?The absolute value inequality is given as:
4 > |x + 1| + 2
Subtract 2 from both sides of the absolute value inequality.
So, we have
2 > |x + 1|
Rewrite as
|x + 1| < 2
So, we plot the graph of |x + 1| < 2 to represent 4 > |x + 1| + 2
See attachment for the graph
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HELP!!!! USING MY DADS ACCOUNT
What is the slope of the line that contains the points (1, −9) and (−3, 3)?
3
−3
one third
negative one third
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-9)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{1}}} \implies \cfrac{3 +9}{-4}\implies \cfrac{12}{-4}\implies -3[/tex]
Answer:
-3
Step-by-step explanation:
ya
(X₁ + X₂)²
Find the square.
Show your work
Step-by-step explanation:
[tex]{ \purple{ \tt{(X₁ + X₂)²}}}[/tex]
This above problem is in the form of
[tex]{ \blue{ \tt{ {(a + b)}^{2}}}}[/tex]
where the expanded form of
[tex]{ \blue{ \tt {(a + b)}^{2}}} = { \green{ \bold{ {a}^{2} + {b}^{2} + 2ab}}} [/tex]
then the (X₁ + X₂)² answer will be
[tex]{ \purple{ \tt{(X₁ + X₂)²}}} = { \purple{ \tt{ {X₁}^{2} + {X₂}^{2} + 2X₁X₂}}}[/tex]
HELP 45 POINTSS!! The coordinates of the vertices of quadrilateral ABCD are A(-6,-1), B(-5,2), C(-1,-5), and D(0,-2). Parker states that quadrilateral ABCD is a parallelogram. Prove or disprove Parker’s statement. Here is a coordinate plane if you would like to graph the points to help you.
The quadrilateral ABCD's vertices are located at A(-6,-1), B(-5,2), C(-1,5), and D. (0,-2).According to Parker, the quadrilateral ABCD is a parallelogram. Parker statement is true.
Given that
The quadrilateral ABCD's vertices are located at A(-6,-1), B(-5,2), C(-1,5), and D. (0,-2).
According to the statement
We have to find that the whether the quadrilateral is a parallelogram or not.
So, For this purpose, we know that the
A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
From the given information:
The coordinates of the vertices of quadrilateral ABCD are A(-6,-1), B(-5,2), C(-1.-5), and D(0.-2).
Then
To show that the diagonals are bisect each other, we have to find the midpoint of both diagonals and if the midpoint is same then they bisect each other.
So,
Midpoint of AC = Midpoint of BD
Midpoint of A(-6,-1),C(-1.-5) = Midpoint of B(-5,2),D(0.-2)
( -6-1/2 , -1-5/2) = (-5+0/2 , 2-2/0)
( -7/2 , -6/2) = (-5/2 , 0/2)
And these midpoints are not same then they do not bisect each other and then it is not a parallelogram.
So, The given quadrilateral is not a parallelogram.
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Instead of raising the number to a second power, he doubled it. His 2 digit answer had the same digits as the correct answer but in reverse order. What was the correct answer
Answer: 81 ==> correct answer
Step-by-step explanation:
n=number
n^2+n*2=n*11 ==> the sum of a 2 digit number and the reverse of the two digit number is a multiple of 11. For example, 21+12=33. 33/11=3, so 33 is a multiple of 11.
n*n+2n=11n
n(n+2)=11n
n+2=11
n=9
n^2=
9^2=81 ==> correct answer
9-3-3-3 = 0 written as a division problem
The value of 9-3-3-3=0 written as division problem is the value of 0.333
According to the Honor algebra:
The symbols for variables used in algebra, which may be found in Greek and Latin literature, can be used to date the creation of algebra to the height of Greek or Latin culture.
9-3-3-3=0 as written as division
⇒ 9÷3÷3÷3 =0
⇒ 9÷3 =3÷3
⇒ 3=1
⇒ x=1/3
⇒ x=0.333
so, the value of 9 divide by 3 and divided by 3 equals to 3 divvied by 3 is the value of 0.333.
When things are more realistic, algebra becomes much more intriguing. With a two-pan balance, some mystery bags, and a ton of jelly beans, solving linear equations is much more enjoyable.
Therefore, the 9-3-3-3=0 written as division is the value of 0.333.
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The sum of the angles of a regular hexagon is 720 degrees. Solve for x
Answer:
x = 32
Step-by-step explanation:
Measure of each interior angle of a regular hexagon is 120°-> (4x - 8)° = 120°-> 4x - 8 = 120-> 4x = 120 + 8-> 4x = 128-> x = 128/4-> x = 32The Keller family needs to rent a 10 cubic meter dumpster to collect waste from a construction project. Discount Dumpster rents a dumpster of that size for $225 plus a charge of $ 130 per ton of waste. Mega Dumpster rents the same size dumpster for $300, but only charges $90 per ton of waste. For what values of tons of waste, w, would Mega Dumpster be less expensive than Discount Dumpster?
For waste of more than 1.875 tons mega Dumpster be less expensive than Discount Dumpster.
Given that,
Discount Dumpster rents a dumpster of that size for $225 plus a charge of $ 130 per ton of waste.
Mega Dumpster rents the same size dumpster for $300, but only charges $90 per ton of waste.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
accoding to the question,
225 + 130w > 300 + w90
130w - 90w > 300 - 225
40w > 75
w > 15 / 8
W > 1.875
Thus, for waste of more than 1.875 tons mega Dumpster be less expensive than Discount Dumpster.
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Which of the following represents an INEFFICIENT point of production?
a. Point A
b. Point B
c. Point D
d. None
e. Point C
The point that represents an INEFFICIENT point of production is point A.
The correct answer is an option (a)
In this question we have been given a graph of Skateboards vs. Bikes.
We need to find the point that represents an INEFFICIENT point of production.
Inefficient production means the economy can be producing more goods without using any additional resources.
In given production possibility curve, an INEFFICIENT point of production is point A.
Therefore, the point that represents an INEFFICIENT point of production is point A.
The correct answer is an option (a)
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Please help describe each transformation in order 1-3
Answer:
A translation 4 units right and 5 units down followed by a rotation of 90 degrees clockwise about the top left vertex of triangle 2
Fairfield Company’s raw materials inventory transactions for the most recent month are summarized here:
Beginning raw materials $ 20,000
Purchases of raw materials 90,000
Raw materials issued
Materials requisition 1445 25,000 For Job 101
Materials requisition 1446 35,000 For Job 102
Materials requisition 1447 30,000 Used on multiple jobs
Required:
How much of the raw materials cost would be added to the Work in Process Inventory account during the period?
How much of the raw materials costs would be added to the Manufacturing Overhead account?
Compute the ending balance in the Raw Materials Inventory account.
direct materials?
indirect materials?
ending balance?
The direct and indirect material costs and the ending balance will be $60,000, $30,000, and $20,000, respectively.
What is direct and indirect material cost, and ending balance?The most recent month's raw resources supply operations for Fairfield Business are listed here:
Beginning raw materials $ 20,000
Purchases of raw materials 90,000
Raw materials issued
Materials requisition 1445 25,000 For Job 101
Materials requisition 1446 35,000 For Job 102
Request for Materials 1447 30,000 used for a variety of jobs
The direct material cost is given as,
The direct raw materials used are the sum of the Materials requisition 1445 For Job 101 and Materials requisition 1446 For Job 102.
Direct raw materials used = $25,000 + $35,000
Direct raw materials used = $60,000
The indirect material cost is given as,
Amount to add to the Manufacturing Overhead account = Indirect materials used = $30,000
The ending balance is given as,
Ending raw materials balance = Beginning raw materials + Purchases of raw materials - Direct raw materials used - Indirect materials used = $20,000 + $90,000 - $60,00 - $30,000 = $20,000
The direct and indirect material costs and the ending balance will be $60,000, $30,000, and $20,000, respectively.
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the actual length of a teacher's table is 1.42m and its width is 2m. ashiru wishes to find out how accurate he can measure using a meter rule. he measures the length of the table to be 1.38m and it's width to be 0.98m
The area of rectangle is 1.42×2=2.84
Given,
The area of rectangle is 1.42×2=2.84
The length of rectangle is 1.38×.98=1.3524
A rectangle is a quadrilateral with equal angles and opposing sides that are equal and parallel. There are several rectangle items all around us. Each rectangle form is distinguished by two dimensions: length and breadth. The length of the rectangle is the longer side, while the width is the shorter side. We will study about the rectangle form and its features in this chapter.
The rectangle is a four-sided closed two-dimensional shape. A rectangle's opposite sides are equal and parallel to one other, and all of its angles are equal to 90°.
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Please Help ASAP!!!!!!
It should be noted that sbsolute risk is the probability of an event.
How to illustrate the information?It should be noted that absolute risk is used for the number of events which occurred in a group which is divided by the number of people in that group.
The response variable is the focus of a question in the experiment and an explanatory variable is one which explains changes in that variable.
The types of bar graph include:
Vertical Bar Graph: It represents the grouped data in a vertical form.Horizontal Bar Graph: It represents grouped data horizontally. Stacked Bar Graph: Every bar in the graph is a whole, while the segments in the bar are the different parts of that whole.The steps involved for the pie chart include:
Convert the data to percentages.Calculate the angle for each pie segment.Draw the pie chart.Learn more about probability on:
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Use the graph of the function to find its domain and range. Write the domain and range in interval notation.
Pls someone help me asap
Answer:
Domain: (-infinity, 5]Range: [-6, infinity)Step-by-step explanation:
The domain is the set of x values and the range is the set of y values.
Write a function that implements the quadratic equation. Given three inputs (a, b, and c), calculate the roots (r1 and r2) of the quadratic formula. Recall the quadratic equation: = ―± 2 ―4 2
The formula for the quadratic equation is x² + x ( r1 + r2) + (r1 * r2) = 0 and
ax² + bx + c = 0
What is Quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .
Given:
Three inputs (a, b, and c), calculate the roots (r1 and r2) of the quadratic formula.
we know, the roots are sum of the roots and product of roots
also,
x² + x ( Sum of zeroes) + (product of zeroes) = 0
Now,
x² + x ( r1 + r2) + (r1 * r2) = 0
Also, if we have three inputs named as a, b and c then
ax² + bx + c = 0
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If you roll a 6 sided die three times, how many possible outcomes are there?
Answer:
There are 6 possible outcomes per roll and three 3 rolls = 6 x 6 x 6 = 216 possible outcomes, assume by outcome one counts each possible sequence separately. If you only count the sum of three rolls, then the possible outcomes are the integers from 3 to 18 inclusive, or 16 possible outcomes. Obviously you mean the former.
Answer:
216 outcomes.
Step-by-step explanation:
When you roll one 6 sided die you have a 1/6 chance,
when you roll two 6 sided dies you have a 1/36 chance,
when you roll three 6 sided dies you have 1/216 chance,
6x6x6
1 1 1
_ _ _
6 36 216
Which of the following would be the least consistent with a rising salt mass origin for the Arizona crater discussed in the textbook?
a) shattered rocks formed at very high pressures in the crater walls
b) a mass of salt beneath the crater
c)rock layers bent backward along the rim of the crater
The option that will be the least consistent with a rising salt mass origin for the Arizona crater discussed in the textbook is C. rock layers bent backward along the rim of the crater.
How to illustrate the information?It should be noted that the solidified magma that lie under the create flow will be consistent with the volcanic origin.
In this case, the option that will be the least consistent with a rising salt mass origin for the Arizona crater discussed in the textbook is the rock layers bent backward along the rim of the crater.
In conclusion, the correct option is C.
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f(x)= 1/2x-1 what is the function
The domain of the given function f(x)= 1/2x-1 is ( -∞ , 1/2) ∪ (1 /2 , ∞) .
The set of all potential values that qualify as inputs to a operate is understood because the domain of the operate, or it also can be outlined because the entire set of values potential for freelance variables. The domain is found in – the divisor of the fraction isn't up to zero and also the digit underneath the root bracket is positiveWe have given an function f(x)= 1/2x-1 .
To find the domain, we'd like to appear at the values of the freelance variables that area unit allowed to use as explained on top of, i.e. no zero at all-time low of the fraction and no negative sign within the root.
2x - 1 ≠ 0
2x ≠ 1
x ≠ 1/2
Domain is given by ( -∞ , 1/2) ∪ (1 /2 , ∞) .
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The complete question is given below :
Find domain of the function f(x)= 1/2x-1
The perimeter of a right angled triangular park is 120m and it's area is 600m^2. Find the length of sides of the park.
The length of the sides are solved to be
base. b = 40mheight, h = 30mhypotenuse, = 50mHow to find length of sides of the park
Given data
perimeter of a right angled triangular park is 120m
area is 600m^2
Perimeter of triangle = b + h + √(b^2 + h^2)
Area of triangle = 0.5 * b * h = 0.5bh
120 = b + h + √(b^2 + h^2) equation 1
600 = 0.5bh equation 2
form equation 2
bh = 1200
from equation 1
120 - b - h = √(b^2 + h^2)
( 120 - b - h )^2 = (b^2 + h^2)
( 120 - b - h ) * ( 120 - b - h ) = (b^2 + h^2)
14400 - 120b - 120h - 120b + b^2 + bh - 120h + bh + h^2 = (b^2 + h^2)
14400 - 240b - 240h + b^2 + 2bh + h^2 = b^2 + h^2
14400 - 240b - 240h + 2bh = 0
and bh = 1200
14400 - 240b - 240h + 2 * 1200 = 0
14400 - 240b - 240h + 2400 = 0
16800 - 240( b + h ) = 0
16800 = 240( b + h )
b + h = 70
b = 70 - h
and bh = 1200
h ( 70 - h ) = 1200
70h - h^2 = 1200
h^2 - 70h + 1200 = 0
h = 40 or 30
if h = 30
and bh = 1200
b = 1200/30
b = 40
the hypotenuse is solved from Pythagoras
hypotenuse = √(b^2 + h^2)
hypotenuse = √(40^2 + 30^2)
hypotenuse = 50
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Line l passes through point (14,−4) and line p is the graph of 7x−6y=13.
If l⊥p, what is the equation of l?
Answer:
y= -6/7x+8
Step-by-step explanation:
7x-6y=13
6y=7x-13
y=7/6x-13/6
a perpendicular line has the x-axis as the reciprocal and the opposite
so
y= -6/7x+b
and to find b you take the x-axis, in this case, it is 14, multiply 14 by the slope which is -6/7. 14x-6/7= -12
-12 plus what number is -4? it's 8! -12+8=-4 b=8
so you get y=-6/7x+8
hopefully this helped :)
Find the value of k the diagram is not to scale
○ 42
○ 70
○ 118
○ 58
Answer:
70
Step-by-step explanation:
We can actually solve this based on two “rules” that are present in triangles and lines.
The first rule is that the three angles inside a triangle will always add up to 180.
In this case, we have 2 out of 3 angles given like so: 52 + 58 + k = 180
Solve for k and that gives 70
Another rule that reinforces this is that a straight line will have an angle of 180 degrees. With the 180 that is given, we can solve for k again using: 110 + k = 180
Answer:
70°
Step-by-step explanation:
Total angles of a triangle = 180°
Then, 180° = 58° + 52° = k
➟ 180° = 58° + 52° = k
➟ 180° - 180° + k =180° - (58° + 52°)
➟ k = 180° - 110°
➟ k = 70°
What's 2540 in standard form
What are the roots of the function f(x) = (log(3^x
) − 2 log(3)) - (x^
2 − 1) with x ∈ R
Dontavious has a box of colored pencils. He uses 53 pencils and has 118 pencils left in the box. Write an equation showing how many pencils are in the box before he starts drawing.
53 + p = 118
118 + p = 53
p − 53 = 118
p = 118 − 53
An equation showing the number of pencils that are in the box before he starts drawing is p - 53 = 118.
We are given that:
Dontavious has a box of colored pencils.
Dontavious uses 53 pencils.
Pencils still left in the box = 118.
Let the total number of pencils in the box be p.
So, the equation representing the situation given will be:
p - 53 = 118
As from p pencils, 53 pencils have been used and 118 pencils still remain at the end.
Therefore, we get that, an equation showing the number of pencils that are in the box before he starts drawing is p - 53 = 118.
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what have the same solution as 3x - 12 = 24
Answer: 12
add 12 to the left side to cancel out the -12 then add 12 to 24 to get 36, then divide 3x from 36 to get 12 (x=12)
60 as product of prime factors
Answer:
[tex] {2 }^{2} \times 3 {}^{1} \times 5[/tex]
