[tex]\qquad[/tex]____________________
It’s given–
The sum of three consecutive even numbers is 42.[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow {x+( x +2)+(x+4) = 42} }[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 3x +6 =42[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 3x = 42-6[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 3x =36[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow x = \cancel {\dfrac{36}{3}}[/tex]
[tex]\qquad[/tex][tex]\pink{ \bf\longrightarrow x = 12}[/tex] ( which is our lowest integer.)
The smallest of these numbers is 12. And the next two integers we find with 12+2=14 and 12+4=16.[tex]\qquad[/tex]____________________
Given :
Sum of three consecutive even numbers is 42. We are to find the smallest of the smallest consecutive even number.[tex] \: [/tex]
Solution :
Let us assume the three consecutive even numbers be "x" , "(x + 2)" and "(x + 4)" . Here x is the smallest number .
So,
According to the Question :
x + (x + 2) + (x + 4) = 42
⇢x + x + 2 + x + 4 = 42
⇢ x + x + x + 2 + 4 = 42
⇢ 3x + 6 ⠀⠀⠀⠀⠀ = 42
⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 42 - 6
⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 36
⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀= 36/3
⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀ = 12
Hence, 12 is the smallest consecutive even number.
Identify the two statements that contradict each other.
1. AABC is an acute triangle.
II. A, B, and C are coplanar.
III. B is the midpoint of AC.
NEED HELP RELATIONSHIP IN TRIANGLES
We have: PT = NT <=> 4x - 17 = x + 10 <=> 3x = 27 <=> x = 9
=> NT = 4x - 17 = 4.9 - 17 = 19
Δ RNT have:
[tex]RT^2 = NT^2 -RN^2 =19^2 -14^2=165\\=>RT=\sqrt{165} [= 12.84523258][/tex]
Ok done. Thank to me :>
At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a dessert for $7.99. You had amazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?
The total bill after the tip, discount, and tax is $37.76.
The total cost of the order is reduced by the coupon and increased by the tax paid and tip.
Total cost of the items bought = cost of the drink + appetizer + Cajun + dessert
$2.99 + $9.99 + $11.50 + $7.99 = $32.47
Value of the tip = 20% x $32.47 = $6.49
Cost of the items after the coupon: (100% - 10%) x $32.47
90% x $32.47
0.9 x $32.47 = $29.22
Cost of the items after the tax: (1.07) x $29.22 = $31.27
Total cost of the items = $31.27 +$6.49 = $37.76
To learn more about taxes, please check: https://brainly.com/question/25311567
17. Solve for x: 3xyz = P (MAFS.912. A-
CED.1.4)
a. x = P-3-y-z
b. x = P - 3yz
P
C. X =
3yz
a
d. x = P + y + 3 + z
3xyz = P
xyz = P/3
xy = P/3z
x = P/3yz
Answer is not there in the options.....but it's correct.
____
Hope it helps ⚜
Find the slope of the line.
A straight line has the point (4, 2) and has the slope 1. What is its y intercept?
================================================
Work Shown:
m = 1 is the given slope
The point (x,y) = (4,2) is on the line
Use slope intercept form to find the y intercept
y = mx+b
2 = 1*4 + b
2 = 4 + b
2-4 = b
-2 = b
b = -2 is the y intercept
which statement about decision making analysis is false
Answer: Id personally say D
Step-by-step explanation:
11,16,21,...
Find the 43rd term.
Find the 43rd term.
Answer:
You add 5 each time so we just need to multiple 5 by 40 since we alredy have the first three terms.
40*5=200
21+200=221
Hope This Helps!!!
A right triangle has side lengths of 5 inches, 12 inches, and 13 inches. The triangle will be rotated 180° about a point.
What is the length of the longest side of the triangle after the rotation? Enter the answer in the box?
13in will be the longest like before .
Refer to the attachment for more observation.
The length of the longest side of the triangle after the rotation is 13 inches.
What is Right Angle?It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.
Ancient geometry defined a right angle as the intersection of two straight, or right, lines in relation to dimensional axes.
Given:
A right triangle has side lengths of 5 inches, 12 inches, and 13 inches.
As, we know that the longest side is the Hypotenuse which is 13 inches and the base is 12 inches and perpendicular is 5 inches.
After 180° rotation only the base and perpendicular change the longest side still remain the same.
Learn more about Right Angle here:
https://brainly.com/question/7116550
#SPJ2
In ΔMNO, \text{m}\angle M = (6x+1)^{\circ}m∠M=(6x+1) ∘ , \text{m}\angle N = (3x-10)^{\circ}m∠N=(3x−10) ∘ , and \text{m}\angle O = (x+19)^{\circ}m∠O=(x+19) ∘ . Find \text{m}\angle N.m∠N.
Applying the triangle sum theorem, m∠N = 41°
What is the Triangle Sum Theorem?Triangle sum theorem states that the sum of the three interior angles of any triangle equals 180°.
Given the following interior angles of ΔMNO:
m∠M = (6x+1)°
m∠N = (3x-10)°
m∠O = (x+19)°
Find the value of x:
m∠M + m∠N + m∠O = 180°
Substitute6x+1 + 3x-10 + x+19 = 180
Add like terms10x + 10 = 180
10x = 180 - 10
10x = 170
Divide both sides by 10x = 17
m∠N = (3x-10)°
Plug in the value of xm∠N = 3(17) - 10
m∠N = 41°
Learn more about triangle sum theorem on:
https://brainly.com/question/7696843
By definition pH = - log H+], where H*] is the hydrogen concentration in $ ltext(moles per liter]$. If the pH
of a solution is 3, what would the [H+] in the solution (written in scientific notation)?
A ........................ig
Evaluate the given expression for x = 4.
x? + 5x - 8
Answer:
16
Step-by-step explanation:
[tex]x = 4 \\ 4 + 5(4) - 8 = 16[/tex]
Erin spent half of her weekly allowance at the movies. To earn more money her parents let her wash the car for
$7. What is her weekly allowance if she ended with $12?
Write an equation to represent this situation
Read the below scenario and then answer the questions that follow. The Ancestry Society of North Carolina is compiling records so they can learn about the history of African Americans in North Carolina from 1820 to 1980. They have complied records of all 15,125 gravestones in cemeteries across all 15 counties. They want to choose a sample of 600 records to check their accuracy by visiting the actual gravestones.
a) Using the hat method explain how they could gather a simple random sample of 600 gravestones to visit.
b) Explain why it would be better to take a sample 40 gravestones from all 15 counties.
c) For what population could they make inference about after gathering and examining the sample?
Using the hat method they can randomly choose the tombstones they are going to visit in each county, the best option is to visit 40 tombstones in each county so that it is the same number of tombstones analyzed in each county. This study will benefit the residents of these counties because the information is specific to them.
When conducting research, it is sometimes necessary to take samples to analyze and study and obtain a result. In the situation presented there are a large number of tombstones to study, however it is difficult for researchers to visit each of the tombstones.
Therefore, the best option is to take a sample, that is, to study a small proportional part of the tombstones to obtain an estimated result of the study. The best way to do this is by taking the same number of samples in each county.
Additionally, the information resulting from this study will directly impact the residents of these counties because they are issues related to their past and their evolution through the years, especially the African American population.
Learn more about research in: https://brainly.com/question/1596108
if h(x) =5 for the function h(x) =2x+1, what is the value of x?
12
11
2
Answer:
2
Step-by-step explanation:
5=2x+1
5-1=2x
2x=4
x=2
Answer:
x = 2
Step-by-step explanation:
2x+1 = 5
-1 -1
-------------
2x = 4
x = 2
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
arithmetic sequence, help with #18 plz
Answer:
15th term is 29/4
Use Arithmetic equation
a1 = 1/4
d= common difference = 2/4
a15 = a1 + (n-1) d
a15 = 1/4 + (15 - 1) 2/4
a15 = 1/4 + 14 (2/4)
a15 = 1/4 + 7
a15 = 29/4 or 7 1/4
Pls look at the picture for question.
Answer:
-5, -2, 3, 4
They are in the correct order already :)
Step-by-step explanation:
They greater a negative number is the less it becomes and positive numbers are always greater than negative ones.
Good luck :)
The school band is selling items to raise $9,500 for a trip. For each item sold, the band's profit is a percent of the selling price, as shown in the table. The flutists' goal is to raise 18% of the total amount needed. The trumpeters' goal is 85% of the flutists' goal. If both of these groups meet their goals, which group raised more money? What was the difference in the amounts the students raised?
The goal amount of the student groups are given in percentages, which are fractions based on one hundred.
The flutist raised more money than the trumpetersThe difference in the amounts the student raised is $256.5Reasons:
The amount the school band is raising for the trip = $9,500
Goal of the flutist = To raise 18% of the total amount
Goal of the trumpeters = 85% of the flutist's goal
Required:
The group that raise more money, given that their goals are met
Solution:
Given that the goal of the trumpeters trumpeters is 85% of the goal of the flutist, the flutist raised more money.
Required:
The difference in the amount raised by the students
Solution:
The amount raised by the flutist = 18% of $9,500 = 0.18 × $9,500 = $1,710
Amount the trumpeters raised = 85% of $1,710 = 0.85 × $1,710 = $1,453.5
The difference in the amount raised = $1,710 - $1,453.5 = $256.5
Learn more about percentages here:
https://brainly.com/question/1367867
Find the measure of the angle marked and indicated in bold.
Answer:
105° your answerStep-by-step explanation:
parrallel line = gongruent angles
16x - 7 = 15x
16x - 15x = 7
x = 7
------------------------
7 * 15 = 105° your answer
--------------------------------
16 * 7 - 7 = 15 * 7
105 = 105
the answer is good
What is the sale price with 15% off? Original price: $110 of bears head phones
Answer:
93.5
Step-by-step explanation:
11/2 ___ 55%? PLS I NEED A AWNSER
Answer:
The answer is >
Step-by-step explanation:
11/2 as a percentage is equal to 550% which is greater than (>) 55%
emma is finding 7/2 x 2/5
Answer:
14/10
OR
7/5
Step-by-step explanation:
(7*2)/(2*5) = 14/10
(14/2) / (10/2) = 7/5
Answer:
Mixed fraction: 1 2/5
Decimal form: 1.4
Hope this helps :)
Find the slope of the line that passes through the pair of points (4,3) (-1,6)
Answer:
-3/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-3)/(-1-4)
m=3/(-5)
m=-3/5
The following ordered pairs represent a function.
(-2,-4) (-1, -2) (0, 0) (1, 2) (2, 4)
Which two ordered pairs can be added to the given set and still have the set represent
a function?
Answer:
(-3,-6) and (3,6)
Step-by-step explanation:
First, use process of elimination on the answer choices with x coordinates already used in the relation, because a value of x cannot have 2 outputs, or y-values. This leaves you with 2 options. Hope I helped :D
A retailer needs to purchase 11 printers. The first printer costs $58, and each additional printer costs 5% less than the price of the previous printer, up to 15 printers. What is the total cost of 11 printers?
$381.99
$500.19
$606.10
$609.00
Answer:
$500.19 is the answer
Step-by-step explanation:
pls vote branliest
The total cost of 11 printers is $500.19.
Given that,
A retailer needs to purchase 11 printers.
The first printer costs $58, and each additional printer costs 5% less than the price of the previous printer, up to 15 printers.
We have to determine,
What is the total cost of 11 printers?
According to the question,
The first printer costs $58.
Each additional printer costs 5% less than the price of the previous printer, up to 15 printers.
The cost of a second printer is,
= 0.95 × 58 = $55.1
The cost of a third printer is,
= 0.95 × 55.1 = $52.345
The cost of a fourth printer is,
= 0.95 × 52.345 = $49.727
The cost of a fifth printer is,
= 0.95 × 49.727 = $47.241
The cost of a sixth printer is,
= 0.95 × 47.241 = $44.879
The cost of a seventh printer is,
= 0.95 × 44.879 = $42.635
The cost of an eight printer is,
= 0.95 × 42.635 = $40.50
The cost of a nineth printer is,
= 0.95 × 40.50 = $38.478
The cost of tenth printer is,
= 0.95 × 38.478 = $36.554
The cost of the eleventh printer is,
= 0.95 × 36.554 = $34.726
Therefore,
The total cost of 11 printers is,
= $58 + $55.1 + $52.345 + $49.727 + $47.241 + $44.879 + $42.635 + $40.50 + $38.478 + $36.554 + $34.726 = $500.19.
Hence, The total cost of 11 printers is $500.19.
For more details refer to the link given below.
https://brainly.com/question/16048559
A bag of mixed nuts contains cashews, pistachios, and almonds. There are 4000 total nuts in the
bag, and there are 400 fewer almonds than pistachios. Cashews weigh 2 g, pistachios weigh 3 g, and almonds weigh 5 g. If the bag weighs 9.7 kg, find out how many of each type of nut is in the bag.
Cashews:
Pistachios:
Almonds:
Answer :
Cashews : 2950
Pistachios : 725
Almonds : 325
( credits to FB person : Moni )
The 20th term from the end of the AP, 3, 8 , 13,. ..... ,253 is
Given A.P = 3,8,13,...,253
Common difference = 8-3 = 5
The AP from the end = 253, 248,245,...,13,8,3
First term from the end = 253
Common difference = 248-253 = -5
We know that
an = a+(n-1)d
t20 = 253+(20-1)(-5)
→ t 20 = 253 +(19)(-5)
→ t 20 = 253-95
→ t 20 = 158
20th term from the end of the AP = 158
Hi, I'm going to be starting homeschooling most likely from 7th to 12th Grade mainly due to my Public School failing me miserably and C0vid. I was curious if anyone could recommend me any home-schooling programs? All I'm looking for in a home-school is one that's easy in math or one that potentially has a lot of multiple-choice questions as obviously i will be using this website a lot to help me get through the stuff i don't exactly fully understand. All replies are GREATLY appreciated, Thank you so much.
Answer:
I use connexus :)
Step-by-step explanation:
The distance between a 16 foot tall flagpole and a 40 foot tall tree is equal to the sum of the lengths of their shadows. If the flagpole casts a 18 foot shadow, find the distance from the flagpole to the tree.
Answer:
The distance from the flagpole to the tree is 27 ft
Step-by-step explanation:
A market increased the price of cheese selling for $4.98 per pound by 3%. What is the new
price for two pounds of cheese?
QUICK
Answer:
$10.26
Step-by-step explanation:
$4.98x0.03= 0.1494,
4.98+0.1494= 5.13
2; 5.13+5.13= 10.26
Answer:
$10.26
Step-by-step explanation:
$4.98*103/100=x
x=5.1294
2 pounds=2x=$10.2588=$10.26
