Answer:
16(x+5)
Step-by-step explanation:
16x+80
=8(2x+10)
=16(x+5)
The algebraic factor of the given expression 16x + 80 will be 16(x + 5).
What is an algebraic factor?An algebraic factor is the multiplication of two algebraic terms.
That term could be in form of summation multiplication or in subtraction.
The root of the quadratic equation formed by the algebraic factor is always real.
As per the given expression,
⇒ 16x+80
Take 8 as common
⇒ 8(2x + 10)
Take 2 as common
⇒ 8 × 2 (x + 5)
⇒ 16 (x + 5)
Hence "The algebraic factor of the given expression 16x + 80 will be 16(x + 5)".
For more about the algebraic factor,
brainly.com/question/19426180
#SPJ2
Coupon B: 30% off of $63 shoes
month of the gym
membership?
5. A train travels 16 miles in
20 minutes. At this rate, how
many minutes will it take to
travel 12 miles?
Answer: 15 minutes
Step-by-step explanation:
Let's make a proportion
16 miles - 20 minutes
12 miles - х minutes
Hence,
[tex]\displaystyle\\x=\frac{12(20)}{16} \\\\x=\frac{3(4)(4)(5)}{4(4)} \\\\x=3(5)\\\\x=15\ minutes[/tex]
The longet ide of an acute triangle meaure 30 inche. The two ide are congruent, but their length i unknown. What i the mallet poible perimeter of the triangle, rounded to the nearet tenth?
The smallest possible perimeter of the triangle is, 72.4 inches.
What is perimeter?
The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
As given the longest side of an acute triangle measure 30 inches.
The two remaining sides' combined length must be longer than the opposite side.
The sum of the two remaining sides should be greater than 30 inches if the side is 30.
Assume the other two sides add up to 31 inches.
So, The perimeter of a triangle is equal to the sum of its three sides, which comes to 30 + 31 = 64 inches.
Consequently, the circumference must be greater than 64 inches.
Hence, based on the possibilities, the triangle's smallest conceivable perimeter is 72.4 inches.
To know more about the perimeter, click on the link
https://brainly.com/question/25092270
#SPJ4
147,21,3 Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
The sequence is geometric and the common ratio is 1/7
How to determine if the sequence is arithmetic or geometric?An arithmetic sequence is a sequence of numbers in which each differs from the preceding one by a constant value e.g 2, 4, 6, etc. That is: 6-4 = 4-2 = 2
A geometric sequence is a sequence of numbers with a constant ratio between each number and the one before e.g. 9, 27, 81, etc. That is: 81/27 = 27/9 = 3
Given: 147, 21, 3
This sequence does not have a common difference. Thus, it is not arithmetic
This sequence has a common ratio. Thus, it is geometric
common ratio = 21/147 = 1/7 or 3/21 = 1/7
Therefore, the sequence is geometric and has a common ratio of 1/7
Learn more about geometric sequence on:
https://brainly.com/question/24643676
#SPJ1
A biker cycles 9 miles in 2/3 of an hour. Make a chart and fill it in to show how far he will bike if he maintains the same pace for 2 hours 3 hours and 3.5 hours
Answer:
27 miles, 40.5 miles, and 47.25 miles
Step-by-step explanation:
9 miles in 2/3 hours. To get to a whole number, we can multiply by the reciprocal of 2/3, which is 3/2. 2/3*3/2=1. Now lets multiply 9 by 3/2. 9*3/2=13.5
We now have a unit rate which is 13.5 miles each hour.
Now lets solve for 2 hours.
13.5*2= 27 miles
Now lets solve for 3 hours.
13.5*3=40.5 miles
Now lets solve for 3.5
13.5*3.5= 47.25 miles
Khadija is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 4 people. Khadija reserved 2 more small rooms than large rooms, which altogether can accommodate 48 guests. Graphically solve a system of equations in order to determine the number of small rooms reserved, x, and the number of large rooms reserved, y.
There are 8 small rooms and 6 large rooms.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Let s be the number of small rooms reserved.
Let l be the number of large rooms reserved.
Each small room can accommodate 3 guests, hence s small rooms can hold 3s guests.
Each large room can accommodate 4 guests, so all large rooms can hold 5l guests.
Thus, the total number of guests
48 =3s+4l
3s+4l=48
3s+4l=48
as, Khadija reserved 2 more small rooms than large rooms,
So, s=l+2
s=l+2
Now, solving the equations
3s+5l= 54
s=l+2
Learn more about Equations here:
brainly.com/question/10413253
#SPJ2-
During a session, a senate had a total of 112 Democrats and Republicans. There were 4 fewer Democrats than Republicans. How many members of each party were there?
Answer:
There are 54 Republicans, and 58 Democrats
Step-by-step explanation:
See the attached image
does the graph of a power function and the graph of its inverse demonstrate
symmetry? Explain your reasoning.
Yes, the graphs of a power function and its inverse are symmetric about the line y=x.
What is an inverse function?
A function that "undoes" another function is called an inverse. In other words, if f(x) yields y, then y entered into the inverse of f yields the output x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.
What is a power function?
Any function where y = xⁿ, where n is any real constant integer, is referred to be a power function. In reality, many of our parent functions, including linear and quadratic functions, are power functions.
Here,
The graphs of self-inverse functions are symmetrical about the line y=x. The domain of a one-to-one function f is the same as the range of its inverse f⁻¹ and the range of f is the same as the domain of f⁻¹.
Hence, the graphs of a power function and its inverse are symmetric about the line y=x.
To learn more about a power function from the given link
https://brainly.com/question/25638609
#SPJ1
Write an equation of the line with the given slope and y-intercept
slope : 2/5
y-intercept : 0
[tex]y = \cfrac{2}{5}x + 0\implies y=\cfrac{2}{5}x\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
The wholesale price for a chair is $160. A certain furniture store marks up the wholesale price by 21%. Find the price of the chair in the furniture store.
Round your answer to the nearest cent, as necessary.
Answer:
$193.60
Step-by-step explanation:
160x1.21=$193.60
160+21%=$193.60
Find the value of y.
M
51
12y+7
L
Q
51
43
P
Answer:
y = 3Step-by-step explanation:
Given is a kite because:
one pair of congruent sides ML and LP,second pair of sides also congruent since OQ is perpendicular bisector of angle Q, making MPQ an isosceles triangle, hence MQ = QP.Since MQ and QP are congruent, set equation and solve for y:
12y + 7 = 4312y = 36y = 3Answer:
y = 3
Step-by-step explanation:
Forming the equation,
→ 12y + 7 = 43
Now the value of y will be,
→ 12y + 7 = 43
→ 12y = 43 - 7
→ 12y = 36
→ y = 36/12
→ [ y = 3 ]
Hence, the value of y is 3.
Write the equation of a line that i parallel to y=1/2x4 and goe thru the point(-3,4)
5(x+10)+x
please help with explanation Q^Q
Answer:
Solution
=5(X+10)+X
=5×x+5×10+x
=5x+50+X
=6x+50
Step-by-step explanation:
Your answer is 6x+50.
Write a rule to describe this translation. (photo attached)
The rule for given translation is (x,y)→(x + 3, y - 4).
What is Transformation?In mathematics, the phrases translation, rotation, and reflection are all used to describe the change of forms. This refers to a form moving beyond a mirror line or a fixed point. While being translated, rotated, or reflected, the shape doesn't change. The constant rotation of a shape around a fixed point or across the mirror line is known as translation. Rotation defines the way a form moves about a central axis. Shapes can be rotated by a specific number of degrees either clockwise or counterclockwise.
The rule for translation of given figure will be,
We need to move x for 3 units to left and y for 4 units downwards to get the translation, so the rule is:
(x,y)→(x + 3, y - 4).
Therefore, the rule for given translation is (x,y)→(x + 3, y - 4).
To learn more about Translation and Transformation visit here:
https://brainly.com/question/12861087
#SPJ1
Pleedadeees helppilyyy meeelili out
Answer:
Step-by-step explanation:
Answer: I Can't Read it
Step-by-step explanation: Its to far
Bernie has decided to purchase a new car with a list price of $18,575. Sales tax in bernie’s state is 7. 40%, and he will be responsible for a $795 vehicle registration fee and a $110 documentation fee. Bernie plans to trade in his existing car, a 1999 buick riviera in good condition, and finance the rest of the cost for five years at an interest rate of 12. 77%, compounded monthly. Assuming that the dealer gives bernie the listed trade-in price for his car, what will his monthly payment be? round all dollar values to the nearest cent. Buick cars in good condition model/year 1998 1999 2000 2001 2002 century $929 $1,086 $1,150 $1,488 $1,595 lesabre $2,075 $2,282 $2,690 $2,935 $3,374 regal $1,676 $1,794 $2,030 $2,214 $2,566 riviera $1,291 $1,455 $1,520 $1,814 $1,959 a. $472. 05 b. $439. 12 c. $438. 20 d. $518. 23.
If the dealer gives Bernie the listed trade- in price for his car, he will pay $391.97 monthly.
Given that,
Bernie has decided to purchase a new car of $ 18,575.
The sales tax is 7.40%
Now,
18,575 x 7.40% = 1,374.55
Now, summing up the result of sales tax and purchase price, we get,
18,575 + 1,374.55 = 19,949.55
Bernie will give registration fees of $795
and, a documentation fees: $110
Now , we will sum up all the above information, i.e.,
= 19,949.55 + 795 + 110
= 20,854.55
Now, divide the result of documentation fees and registration fees by 5
20,854.55 ÷ 5 = 4,170.91
Dividing the above result by 12,
4,170.91 ÷ 12 = 347.58
Now, the finance the rest of the cost for five years at an interest rate 12.77%.
347.58 x 12.77% = 44.39
And,
347.58 + 44.39 = 391.97
Therefore, If the dealer gives Bernie the listed trade - in price for his car, he will pay $391.97 monthly.
Learn more about Documentation fees:
https://brainly.com/question/28287441
#SPJ4
NEED HELP PLEASEEEEEEEE
Answer:
- 3/4
PLEASE GIVE BRAINLIEST THANK YOU!!!
Consider the equation Y=x^2-3 a) using the given input, complete the table by entering the corresponding ordered pairs separated commas x, -2, -1, 0,1,2 y,_,_,_,_,_ b) Graph the equation by plotting the vertex and one other point
Answer: I don't know
Step-by-step explanation:
betty can mow a lawn in 120 minutes. bullwinkle can mow the same lawn in 40 minutes. how long does it take for both betty and bullwinkle to mow the lawn if they are working together?
Using the Work time problem solving technic, Betty and Bullwinkle to mow the entire lawn in 30 minutes if they are working together.
As we know that if A is complete the work of z in x days and B is complete the same work (z) in y days then both of can do complete work together then Equation of both A and B are completing work (z) together in
( 1/x + 1/y = 1/z ) days
Since Betty can mow a lawn is 120 minutes, then
Betty's mowing rate is 1/120th of a lanw per minute.
Since Bullwinkle can mow a lawn is 40 minutes, then Bullwinkle mowing rate is 1/40th of a lawn per minute.
Suppose working together they can a lawn in x minutes.
both together they can mow a lawn is x minutes, then their combined mowing rate is 1/x th of a lawn per minute.
To get the equation,
the sum of their mowing rates must equal their combined mowing rate,
1/40 + 1/120 = 1/x
Solve that by multiplying through by LCD of 40 and 120 is 120 then 4x = 120 => x = 30
Hence, when both are working together they complete the work together in 30 minutes .
To learn more about Work Time problem solution, refer :
https://brainly.com/question/25748643
#SPJ4
If one or more data items are much greater than the other items, the mean, rather than the median, is more representative of the data.
a. True
b. False
The given statement is FALSE.
If one or more data items are much greater than the other items, the median, rather than the mean, is more representative of the data.
When one or more data items are much greater than the other items, these extreme values can greatly influence the mean.
When you have a skewed distribution, the median is a better measure of central tendency than the mean
The median and mean can only have one value for a given data set. The mode can have more than one value
To learn more about Measures of Central Tendency, visit:
https://brainly.com/question/20725627
#SPJ4
30 MINS PLS HELP ASAP
The values of m<4 and m<6 are 160° and 20° respectively
How to find the value of m<4 and m<6?
To solve this problem, we need some angle geometry knowledge:
Given that: m<6 = 1/8 m<4
Since m<6 = 1/8 m<4. Thus, m<4 = 8.m<6
m<6+ m<4 = m<6 + 8.m<6 = 9.m<6 (Algebra)
m<6+ 8.m<__ = 180° will be:
m<6+ 8.m<6 = 180°
Note: m<6 + m<5 = 180° (angles on a straight line) and m<5 = m<6 (alternate angles)
m<6+ 8.m<6 = 180°
9.m<6 = 180°
m<6 = 180/9 = 20°
m<4 = 8 x m<6
m<4 = 8 x 20° = 160°
Therefore, the values of m<4 = 160° and m<6 = 20°
Learn more about angle geometry on:
brainly.com/question/29405364
#SPJ1
what is the volume of the following rectangular prism? 1 1/3 units 4 1/2 units2
Answer: 6 units^3
Step-by-step explanation:
using the volume of a rectangular prism formula:
L*W*H
We are already given the AREA which is the part L*W of the previous formula.
Now we multiply:
1 1/3 units * 4 1/2 units^2
Convert the fractions into 4/3 * 9/2 for an easier multiplication.
Resulting in 36/6 which is equivalent to 36 divided by 6.
Which gives us our answer of 6.
A hopper bought a watermelon,a pack of napkin,and ome paper plate. In hi tate, there i no tax on food. The tax rate on non-food item i 15 percent. The total for the three item he bought wa $8. 25 before tax, and he paid $0. 19 in tax. How much did the watermelon cot?
The shopper bought a watermelon costing $4.45.
Let x represent the cost of watermelon
y = cost of napkin + cost of paper plates
The tax rate on non-food items is 5%, hence:
5% of y = 0.19
0.05y = 0.19
y = $3.8
The total for the three items he bought was $8.25 before tax,
x + y = 8.25
x + 3.80 = 8.25
x = 4.45
The shopper bought a watermelon costing $4.45.
A tax is a compulsory monetary charge or a few other sorts of levy imposed on a taxpayer (a man or woman or criminal entity) by using a governmental agency if you want to fund authorities' spending and numerous public expenses (regional, neighborhood, or countrywide), and tax compliance refers to coverage movements and character behavior geared toward making sure that taxpayers are paying the right amount of tax on the proper time and securing the right tax allowances and tax reliefs. the first known taxation passed off in historical Egypt around 3000–2800 BC. A failure to pay in a well-timed way (non-compliance), together with evasion of or resistance to taxation, is punishable by means of regulation. Taxes consist of direct or oblique taxes and may be paid in cash or as its labor equivalent.
Maximum nations have a tax system in the region, so as to pay for public, common societal, or agreed-on country-wide needs and for the capabilities of the presidency. a few levies a flat percentage rate of taxation on private annual profits, however, maximum scale taxes are modern and based on brackets of annual earnings amounts. most nations charge a tax on a character's profits as well as on corporate earnings. nations or subunits regularly additionally impose wealth taxes, inheritance taxes, estate taxes, gift taxes, property taxes, sales taxes, use taxes, payroll taxes, duties, and/or tariffs.
To learn more about Tax visit here:
brainly.com/question/16423331
#SPJ4
Simon drives 75 km at an average speed of 120 km/h and then 9 km at 70 km/h without stopping. What is the average speed for the whole journey to 1 dp?
95km/h is the average speed for the whole journey
What is Speed?Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement
Given,
Simon drives 75 km at an average speed of 120 km/h
9 km at 70 km/h without stopping.
We need to find the average speed.
Average speed = Total distance/Total time
The total distance is 75km+9km
84 km
The average speed is sum of speeds by two
120+70=190/2=95km/h
Hence, 95km/h is the average speed for the whole journey
To learn more on Speed click:
https://brainly.com/question/28224010
#SPJ1
The circumference of a circle is 15 in. What is the area, in square inches? Express
your answer in terms of pie
Answer:
The area is 225/(4π) in²Step-by-step explanation:
Area of circle equation:
A = πr²Circumference of circle equation:
C = 2πrGivenC = 15 inTo Find Area of circleSolutionUse circumference equation to find the radius:
2πr = 15r = 15/(2π)Find the area:
A = π*[15/(2π)]² = 225/(4π)Pls help me thank u very much
Answer: y= (7a+9b)/8
Step-by-step explanation:
I can only provide the answer now, If you want more explanations reply this
Step-by-step explanation:
(2y - a)/3 = (a + 3b)/4
first we get rid of the fractions by multiplying everything first by 3 and then also by 4 ;
(2y - a) = 3(a + 3b)/4
4(2y - a) = 3(a + 3b)/4
8y - 4a = 3a + 9b
8y = 7a + 9b
y = (7a + 9b)/8
the sum of two numbers is 61, if the larger number is seven less than three times the smaller number, find both numbers
Answer:
The two numbers are 17 and 44.
Step-by-step explanation:
x --> smaller number
y --> larger number
x + y = 61
y = 3x - 7
x + 3x - 7 = 61
4x - 7 = 61
4x = 68
x = 17
y = 3(17) - 7
y = 51 - 7
y = 44
Please help me out with this question which graph shows a line with a slope of -2/3 passing through (-1,0)
Answer:
Step-by-step explanation:
Correct Answer: C.
First we can see that the slope is negative, meaning the graph is decreasing.
Then we go to the point (-1,0) and go down 2 and 3 right. if that point is on the line, then we know it's correct.
Write 480 ml as a fraction of 3 litres
Give your answer in its simplest form
Answer:
Step-by-step explanation:480/3000
In a sale , all prices are reduced by 30 %.
Calculate the marked price (original price) of an article which is sold for Rs 4200 in the sale
Answer:
$2940
Step-by-step explanation:
30 percent *4200 =
(30:100)*4200 =
(30*4200):100 =
126000:100 = $1260
4200-1260=$2940