y+2>9
-2 on both sides
y>7
-y+3<8
-3 on both sides
-y<5
y is still negative so simply divide both sides by -1
y>-5
The inequality y > 7 represents the solution set of the given compound inequality.
What is inequality?
Inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.
Given is the following compound inequality.
- y + 3 < 8 and y + 2 > 9
We have -
- y + 3 < 8 and y + 2 > 9
Now, first we will solve inequality (1)
- y + 3 < 8
- y + 3 < 8
- y + 3 - 3 < 8 - 3
- y < 5
y > 5
Solving inequality (2)
y + 2 > 9
y + 2 - 2 > 9 - 2
y > 7
We have two possible solution sets -
y > 5 and y > 7
To satisfy both the solution sets, the inequality y > 7 will be the final solution of the given compound inequality.
Therefore, the inequality y > 7 represents the solution of the given compound inequality.
To solve more questions on inequality, visit the link below-
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Match the following items.
Given:
bisectsRTS
R ≅S
Prove:
1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S
2. ∠1 ≅ ∠2
3. Segment TQ ⊥ Segment RS
4. Triangle RTQ congruent to Triangle STQ
5. ∠3 ≅ ∠4
6. TQ ≅ TQ
a. Definition of perpendicular.
b. Given
c. AAS
d. CPCTE
e. Definition of angle bisector.
f. Reflexive
Answer:
1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S b. Given
2. ∠1 ≅ ∠2 e. Definition of angle bisector
3. Segment TQ ⊥ Segment RS a. Definition of perpendicular
4. Triangle RTQ congruent to Triangle STQ c. AAS
5. ∠3 ≅ ∠4 d. CPCTE
6. TQ ≅ TQ f. Reflexive
Step-by-step explanation:
Good luck on the rest of your assignment!
Answer: Answer:
1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S b. Given
2. ∠1 ≅ ∠2 e. Definition of angle bisector
3. Segment TQ ⊥ Segment RS a. Definition of perpendicular
4. Triangle RTQ congruent to Triangle STQ c. AAS
5. ∠3 ≅ ∠4 d. CPCTE
6. TQ ≅ TQ f. Reflexive
Step-by-step explanation:
Good luck on the rest of your assignment!
Solve the inequality: -7y - 3x < 21
Answer:
x> -7/3y -7
Step-by-step explanation: -7y-3x<21
Step 1: Add 7y to both sides.
−3x−7y+7y<21+7y
−3x<7y+21
Step 2: Divide both sides by -3.
-3x/-3 < 7y+21/-3
x>-7/3y -7
Did I get this right? If I did not please correct me and explain please thank you.
Answer: Yes. 10 1/2 is right.
Step-by-step explanation:
You added the amounts to find the total cups 5 3/4 + 1 1/4 to get 7
Then divided by 2/3 cups per week to get 10 1/2 weeks.
Question 2c: Which dog sitting service is better if you need 5 hours of service? Explain your answer PLEASE!
If you subtract 13 from my number and multiply the difference by -2 , the result is -44." What is 's number
Answer:
n = 35
Step-by-step explanation:
n - 13 x -2 = -44
distribute:
(n x -2) - (13 x -2) = -44
-2n - (-26) = -44
two negatives in front of a number makes it a positive number
so rewrite -2n + 26 = -44
-2n = -44 -26
-2n = -70
n = [tex]\frac{-70}{-2}[/tex]
n = 35
calc check (35 - 13) x -2 = 22 x (-2) = -44
Translate the following sentence into an equation, then find the number. Five times a number less than 18 is is equal to 13.
Answer:
The answer would be 5x-18=13
Step-by-step explanation:
When given five times than a number, 5 would be multiplied by (x) since x can be any number. Less than 18 means subtract 18. Is equal to means an eual sign and the equation is equal to 13.
HELP QUICK PLS WILL GIVE BRAINLIEST
A vine called the mile-a-minute weed is known for growing at a very fast rate. It can grow up to 0.5 ft per day. How fast in inches per hour can the mile-a-minute weed grow up to? Show your work using the correct conversion factors
Answer: 0.4 Inches
Step-by-step explanation:
Someone said it in the comments, give credit to them.
A car travels 42 miles each hour for 4 hours. Calculate the distance that the car traveled.
Answer:
168 miles total
Step-by-step explanation:
42 miles x 4 hours = 168
Answer:
168 miles in 4 hours
Step-by-step explanation:
42x4=168, meaning that in 4 hours, the car travels at a constant speed of 42mph and travels a total of 168 miles in 4 hours
for a small party of 12 people, the caterer offered a choice of a steak dinner for $12:00 per or a chicken dinner for $10.50 the final cost for the meals was 138:00. how many of each was ordered?
Answer:
let the $12 dish be x and the other y
x + y = 12 <--- 1
12x + 10.50y= 138 <--- 2
multiply equation 1 by 12
so now we have
12x + 12y = 144
12x + 10.50y = 138
now subtract each one and that cancels out x
1.5y = 6
y = 4
now subsitute that into any equation
x + 4 = 12
x = 12 - 4
x = 8
1. Find the GCF:
a. 16 and 54
b. 25 and 30
a bricklayer stacks bricks in 2 rows with 10 bricks each in each row on top of each row there is a stack of 6 bricks how many bricks are there in total
Let me see.
Row 1 = 10 bricks
Row 2 = 10 bricks
On top of each row there are 6 bricks.
Two rows times 6 bricks per row is 12 bricks.
Total = 20 + 12 or 32 bricks.
Pleaseee help me with my math show work please I need the work
I'm sorry the photo is on a side. I'm too lazy to text it on here lol
What is the correct symbol to compare the expressions?
Pls Answer
Answer:
b
Step-by-step explanation:\
when you have a nuber inside a I -7 I and a I -8 you forget about any sign and just take the number so 8 is greater then 7
Answer:
>
Step-by-step explanation:
|-8| = 8
|-7| = 7
8>7
In each of the four relations below, the x values represent inputs and the y values represent the corresponding outputs. Which relation does not represent a function? * A) { (-2, -3), (1, 3), (3, -3), (5, 3) } B) { (-1, -5), (2, 4), (3, 7), (4, 10) } C) { (-2, 3), (1, 3), (3, 3), (5, 3) } D) { (3, 4), (4, 5), (3, -4), (4, -5) }
Given:
In each of the four relations below, the x values represent inputs and the y values represent the corresponding outputs.
To find:
The relation which does not represent a function.
Solution:
A relation is a function if there exist a unique output for each input.
In options A, B and C, we get unique output for each input.
In option D, we get two outputs y=4 and y=-4 for input x=3.
Since, there exist more than one output values for a single input value, therefore it is not a function.
Therefore, the correct option is D.
Renee hiked for 434 miles. After resting, Renee hiked back along the same route for 3 14 miles. How many more miles does Renee need to hike to return to the place where she started?
1 12 miles
1 12 miles
8 miles
8 miles
−1 12 miles
−1 12 miles
7 48 miles
Answer: -1 1/2
Hope it helps :)
John has 125 marbles. 35 are green; 40 are red; 20 are yellow and the rest are blue. What is the ratio of the blue marbles to all the marbles? *
40 to 30
6 to 25
25 to 6
35 to 125
Answer:
a
Step-by-step explanation:
Which angle has a measure equal to the sum
of m_SQR and mzQRS?
O ZRSC
O LSRE
O ZDQS
O ZQSR
Answer:< RSC
Step-by-step explanation:
The angle has a measure equal to the sum of m <SQR and m <QRS is
m <RSC.
The correct option is A.
We have the information from which we can write
<SQR and < QRS are two interior angles of triangle QRS
Then, m<QSR = 180 - (sum of other 2 angles)
m<QSR = 180 - (m<SQR + m<QRS) (Angle sum property)
Also, m<RSC = 180 - m<QSR
Then <RSC = (m<SQR + m<QRS)
Thus, the ideal solution is A.
Learn more about Angle Sum Property here:
https://brainly.com/question/11596981
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Solve for the indicated variable.
A = LW, solve for W
Which point is a solution to the inequality shown in this graph?
A (6,0)
B (5,-5)
C (0,-3)
D (0,-5)
Answer:
(0,-3)
Step-by-step explanation:
Apex
how many seconds in 4 minutes? its for PE class-
the answer is 240 seconds :)
give the other person brainliest
which of the following explains why soft drinks are such an unhealthy choice?
A. one soft drink contains about 25% of daily caloric intake
B. one soft drink contains nearly an entire daily allowance for sugar
C. the carbonation contains unnatural additives that contribute to obesity
D. the carbonation is a preservatives that also adds sugar
Answer:
A or B
Step-by-step explanation:
can you help my sis out again? im sorry
Answer:
3.7 x 10^-2
Step-by-step explanation: I know all...sike i dont...thats correct tho
2(4+c)=67 help solve for c
Answer:
c = 29.5 or
c = 59/2
Step-by-step explanation:
2 (4 + c) = 67
8 + 2c = 67
8 - 8 + 2c = 67 - 8
2c = 59
c = 29.5
A 38-ounce bottle of juice drink contains 6 percent water. Than computed 6 percent of 38. His work is shown below.
6 percent of 38 0.6 times 38 = 22.8
Which statement explains Than’s error?
Than did not multiply 0.6 and 38 correctly.
Than did not use 0.06 for 6 percent.
Than did not move the decimal point three places to the left in the answer.
Than did not use 6 for 6 percent.
Answer:
C
Step-by-step explanation:
Answer:
it b or c
Step-by-step explanation:
Suppose you can buy garden fencing in lengths of 50 feet at the local hardware store. A. If you bought 100 feet of fencing and wish to enclose a rectangular garden in your backyard, what should be the dimensions of your garden in order to maximize area?
Answer:
The answer is below
Step-by-step explanation:
Let the length of the rectangular area be L and W be the width of the rectangular garden hence:
Perimeter = 2(L + W)
There is 100 feet of fencing available which represents the perimeter, therefore:
100 = 2(L + W)
L + W = 100/2
L + W = 50
L = 50 - W
The area (A) = L × W
A = L × W
A = (50 - W) × W
A = 50W - W²
To get maximum area, we find the first derivative of the area and equate to zero
A' = 50 - 2W
50 - 2W = 0
2W = 50
W = 50/2
W = 25 feet
100 = 2(L + W)
50 = L + W
L = 50 - W = 50 - 25
L = 25 feet
To maximize area, the length and width should be 25 feet each
anyone know the first one ? i'll brainlist
Answer: ray
Step-by-step explanation:
Answer:
Ray
Step-by-step explanation:
because incident ray means the ray that comes from an object and strikes a surface and also it seems to work in that problem.
slope intercept form of 5x - 4y = 28
Answer:
y=-5x-7
Step-by-step explanation:
5x-4y=28
-4y=-5x+28
y=-5x-7
What is 6+6+2
need to actually ask something to give away points or the bots will report lol
Answer:
14
Step-by-step explanation:
because 6+6 is 12 and add 2 is 14
is CH4 + 2O2 CO2 + 2H2O a balanced eqaution.
Answer:
yes
Step-by-step explanation:
all the carbon hydrogen and oxygen are well balanced
please help thank you
Answer:
k=12
Step-by-step explanation:
hope this helps :))