Answer:
Step-by-step explanation:
(2n+1)(n+5) - 2(n+3) - (5n+13) = 2n² + 4n - 14 (*)
+) if n is divisible by 3 ⇒ n= 3k ⇒ (*)⇔ 2.9k² + 4.9k -14
2.9k² + 4.9k = 3( 2.3k² +4.3k) ║ 3 but 14∦3
⇒ with n =3k, (*)∦ 3 (1)
+) if n = 3k + m (m∦ 3)
⇒ (*) ⇔ 2.(3k+m)² + 4.(3k+m) -14 = 2.9k² + 2.3k.m + 2m² + 4.3k + 4m -14
= 3(2.3k² + 2.km + 4k) +2m² + 4m -14
3(2.3k² + 2km + 4k)║3 but (2m²+4m-14)∦3
⇒ with n = 3k+m, (*) ∦ 3 (2)
(1)(2)⇒ [(2n+1)(n + 5) - 2(n+3) - (5n+13)] ∦ 3
⇒ (2n+1)(n+5)–2(n+3)–(5n+13) is not divisible by 6 for any whole n
║is divisible∦ is not divisibleRyan works at the car wash making $5.30 per hour plus tips. Last week Ryan worked 32 hours and earned $403. How much in tips did Ryan make last week? a. $86.40 b. $148.00 c. $169.60 d. $233.40 Please select the best answer from the choices provided A B C D
Ryan earned $233.40 from the tips. Option D is correct
Ryan works at the car wash making $5.30 per hour plus tips.
Last week Ryan worked 32 hours and earned $403
How much in tips did Ryan make last week?
In mathematics, it deals with numbers of operations according to the statements.
Let the tip Ryan get be x,
Ryan earned $5.30 per hour.
Ryan earned $403 for 32 hours of the working,
Ryan worked 32 hours so,
Ryan earned = 32 * 5.30
= 196.4
Total tips that Ryan earned = total earning - Ryan earned
= $403 - $196.4
= $233.40
Thus, Ryan earned $233.40 from the tips. Option D is correct
Learn more about arithmetic here:
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75.64 rounded to the nearest 10th
Answer:
75.6
Step-by-step explanation:
75.64 rounded to the nearest 10th is 75.6.
The tenths place is 0.6, and since the next number is not larger than 5, the number is rounded to 75.6.
Answer:
75.6
Step-by-step explanation:
75.64
The 6 is in the tenths place.
Drop all digits to the right of the 6.
75.6
Since the leftmost digit you dropped is a 4, the 6 does not go up 1 to 7, so the answer is
75.6
URGENT AND EASY 8TH GRADE MATH
Answer:
x < -8
Step-by-step explanation:
I used a calculator
Answer:
x<-8
Step-by-step explanation:
Let's solve your inequality step-by-step.
122<−2(8x+3)
Step 1: Simplify both sides of the inequality.
122<−16x−6
Step 2: Flip the equation.
−16x−6>122
Step 3: Add 6 to both sides.
−16x−6+6>122+6
−16x>128
Step 4: Divide both sides by -16.
−16x /−16 > 128 /−16
x<−8
Part of a hundredths grid is shown.
Part?of?a?hundredths?chart?with?one?empty?box.
Part A
What is the pattern for going across a row on the grid? Drag the phrases to complete the statement.
stays the sameincrease by 1increase by 10
The tenths
and the hundredths
Answer:
d b c
Step-by-step explanation:
fdfbwhgbcsjbcjbchsvbchwgchwvcdn
Letters x, y, and z are angle measures. Which equations would guarantee that lines p and q are parallel? Check all that apply. x = z x + y = 180° x + z = 180° x = y z = 180°
The equations that would guarantee that lines p and q are parallel are;
x = z
x + y = 180°
The image showing the lines p and q as well as the angles x, y and z can be found in the link at the end of this answer.
From the image given;
We see that a transverse line cuts across the two parallel lines p and q. Thus;
We can see that x and z are corresponding angles and as such, we can say that; x = z.
Secondly, we can see that y and z are supplementary angles because they form a straight line and sum of angles that form a straight is 180°.
Thus; y + z = 180°
Since x = z, then by substitution property of equality, we can say that;
x + y = 180°
Read more at; https://brainly.com/question/13128119
Answer:
Step-by-step explanation:
A and B
HELP!! I need this now! The instructions are on the top! Thank you!
A parachute is descending at a rate of 28 feet per minute. Find the total change in altitude of the parachute after 4 minutes.
Answer:
The parachute descended 112 feet
Step-by-step explanation:
In my town, gas prices are always listed to the thousandths place. Since the smallest coin we have is the penny, we have to round them to the hundredths place. If the price of gas is $8.162, what will the price be when we round it to the hundredths place?
Answer:
$8.16Step-by-step explanation:
given the amount $8.162
if we are to round this amount to the nearest hundredth, we would have
$8.16
this is because will have already consider the last value in the given digit and this value is not up to 5 hence we are not able to round the number next to it up, but we have to retain its current value of 6.
therefore the value is
$8.16
Answer:
$8.16
Step-by-step explanation:
given the amount $8.162
if we are to round this amount to the nearest hundredth, we would have
$8.16
this is because will have already consider the last value in the given digit and this value is not up to 5 hence we are not able to round the number next to it up, but we have to retain its current value of 6.
therefore the value is
$8.16
Find the sum or difference of the polynomials. (7x2 + 5x − 3) + (4x2 − 3x + 2)
Answer:
[tex]11x^{2} +2x-1[/tex]
Step-by-step explanation:
Combine Like Terms:
[tex]7x2+5x+-3+4x2+-3x+2[/tex]
[tex](7x^{2} +4x^{2} )+(5x+-3x)+(-3+2)[/tex]
[tex]11x^{2} +2x-1[/tex]
Twenty-seven is smaller than five times a number increased by seven.
Answer:
4
Step-by-step explanation:
4=x
5x+7 =27
27=27
:(((
(62 points) Jim makes $5 an hour at the surf shop. His boss gives him a one time bonus of $50. Sarah makes $8 an hour at the clothes store. Her boss gives her a one time bonus of $14. After how many hours will their paychecks be the same?
Answer:
12 hours
Step-by-step explanation:
So we know that Jim makes $5 an hour and was given a one time bonus of $50. Using the information given, we can make the expression:
5h + 50
to represent how much Jim makes in h hours.
Now we also know that Sarah makes $8 an hour and was given a one time bonus of $14. Using this information, we can make the expression:
8h + 14
to represent how much Sarah makes in h hours.
Now to find how many hours it will take for their paychecks to be the same, we have to set the two expressions equal to each other and solve for h:
8h + 14 = 5h + 50
Now solve for h. Subtract 5h from both sides.
3h + 14 = 50
Subtract 14 from both sides.
3h = 36
Divide both sides by 3.
h = 12
So it will take 12 hours for their paychecks to be the same.
I hope you find my answer and explanation to be helpful. Happy studying.
Help pleaseeee ASAP
Answer:
The third one I think
Step-by-step explanation:
Which number line represents the solution to the inequality
1
+
2
x
<
−
7
?
Answer:
[tex]\boxed {x < -4}[/tex] (Choice D)
Step-by-step explanation:
You first need to solve the following inequality in order to get the actual answer and find the actual graph:
[tex]1 + 2x < -7[/tex]
-Subtract [tex]1[/tex] to both sides:
[tex]1 - 1 + 2x < -7 - 1[/tex]
[tex]2x < -8[/tex]
-Divide both sides by [tex]2[/tex]:
[tex]\frac{2x}{2} < \frac{-8}{2}[/tex]
[tex]\boxed {x < -4}[/tex]
The number line graphed:
5. Average (missing value). The temperature at the top of Mt. Hood in Oregon was recorded for 5 straight days. For the first four days, the temperatures were 32°, 30°, 22°, and 10°, but a researcher lost the value of day #5. If the average temperature over the 5 days was 19.8°F, what is the missing temperature of day #5?
Answer:
5°F
Step-by-step explanation:
Given that the average is obtained from;
Average = sum of scores / number of scores
Average temperature = 19.8°F
Let the temperature of the fifth day be x
Hence;
19.8 = 32 + 30 + 22 + 10 + x/5
19.8 = 94 + x/5
x= (5×19.8) -94
x= 5°F
Which integer is between 30 and 40 ?
A. 5
B.
6
C.
20
D.
35
Answer:
D)35. Hope it hepls
Step-by-step explanation:
because 35 is between 30 and 40
What is the scale factor for this dilation?
Determine the missing angle measures in the parallelogram below:
СІ
120°
IA
B В
Kaley reads 12 1/4 pages in 1/3 hour
V = 1/3 πr^2h
Pls help
please help pleeaasssee
Answer:
10
Step-by-step explanation:
just do 4-18 and u get the answer
Please answer. Will mark Brainliest!!
A line has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is
.
Answer:
y = 2 x - 6
the second answer is
y + 6 = 2 (x - 0)
Step-by-step explanation:
What is the solution to the inequality 5.25 – b ≥ 6.5?
Answer:
A
Step-by-step explanation: got it right on edge
If you walked 5 miles down a trail and then walked 2 1/4 miles back, how many miles away are you from your starting point?
miles
Answer:
3 3/4
Step-by-step explanation:
5 - 2 1/4 = 3 3/45 - 2 = 3show that the area of the rectangle ABCD is 3 route 5 cm
Answer:
Please see the attached picture for the full solution.
find the slope... both are -4/6 right?
Answer:
yes
Step-by-step explanation:
X+4=11
I need the solution
Answer:
7
Step-by-step explanation:
x+4=11
- 4 . -4
x=7
Answer:
x=5
is that what u wanted?
Gina made 9{,}350 \text{ mL}9,350 mL9, comma, 350, start text, space, m, L, end text of chicken noodle soup. She packed 1.8 \text{ L}1.8 L1, point, 8, start text, space, L, end text of the soup in her kids' lunches. She froze the rest of the soup. How many milliliters of soup did Gina have left to freeze? \text{mL}mL
Answer:
[tex]Frozen\ Soup = 7550mL[/tex]
Step-by-step explanation:
Given
[tex]Soup = 9,350mL[/tex]
[tex]Packed = 1.8L[/tex]
Required
Determine the frozen soup
This is calculated as thus:
[tex]Frozen\ Soup = 9,350mL - 1.8L[/tex]
Convert 1.8L to mL
[tex]Frozen\ Soup = 9,350mL - 1.8 * 1000mL[/tex]
[tex]Frozen\ Soup = 9,350mL - 1,800mL[/tex]
[tex]Frozen\ Soup = 7550mL[/tex]
Need help please!!!!
I will mark as brainliest!!!
Answer:
ΔDEF= Isosceles Triangle
ΔJKL= Scalene Triangle
ΔTRI= Equilateral or Isosceles Triangle
Help me with them all
Answer:
Angles 1, 3, 5, 7, 9, 11 are going to be 100 degrees
Angles 4, 2, 8, 6, 12, 10 are going to be 80 degrees.
Step-by-step explanation:
We know when there are 2 parallel lines we have vertical angles.
