Which number line represents the solution to the inequality 1 + 2x < -7?
Answer:
[tex]\boxed {x < -4}[/tex]
Step-by-step explanation:
Solve the following inequality:
[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:
Question 2 (20 points)
2
1
Joanna walked for 2 a mile on Tuesday. On Wednesday, she walked 5
miles. How far did she walk in all?
Blank 1:
I need help solving this
(-15) - (-16) (i need 20 characters so hey)
Step-by-step explanation:
-15+16 (as - - = +)
1
it will be positive as 16 is greater then 15 and have positive charge
Answer:
1
Step-by-step explanation:
(-15)-(-16) =
(-15)+16 =
1
If the equation is an identity or if it has no solution, write identity or no solution.
7n + 5 − 9n = 8 − 2n − 3
Answer:
7n + 5 − 9n = 8 − 2n − 3 = true
-2 n + 5 = 5 - 2 n = true
Step-by-step explanation:
Left-hand side:
Simplify the following:
7 n - 9 n + 5
Grouping like terms, 7 n - 9 n + 5 = 5 + (7 n - 9 n):
5 + (7 n - 9 n)
7 n - 9 n = -2 n:
Answer: -2 n + 5
____________________________
Right-hand side:
Simplify the following:
-2 n - 3 + 8
Grouping like terms, -2 n - 3 + 8 = (8 - 3) - 2 n:
(8 - 3) - 2 n
8 - 3 = 5:
Answer: 5 - 2 n
(3^2)12/ 3^6
Look at the picture I don’t understand how to do this problem.
3^ 2 x 12 = 3^24
3^24/3^6 = 3^ 24-6
= 3^ 18
So it's 3 with power 18
Answer:
this is the correct answer.
hope it will help you.
EXTRA POINTS! PLEASE BE PRECISE!
Cheryl’s recipe for homemade pudding calls for 4 1/2 cups of water and 2 cups cream. She decides to scale the recipe to use all 3 2/3 cups of cream she has in her refrigerator. How much water should she use?
A. 8 1/4 cups
B. 8 1/10 cups
C. 6 1/6 cups
D. 4 1/2 cups
Tysm!
Answer:
a 8 1/4 c
Step-by-step explanation:
I converted to decimals first. 4.5 c water to 2 c cream. wants to use 3.66 cream. 3.66/2= 1.83. she is increasing cream by 1.83%, next multiply same % to water. 4.5 cups * 1.83 = 8.235 which is closest to 8.25= 8 1/4
The picture is above. PLEASE HELP.
Answer:
f(4) = -28
Step-by-step explanation:
f(x) = -[tex]x^{2}[/tex] - 6x + 12
f(4) = -[tex]4^{2}[/tex] - 6(4) + 12
f(4) = -16 - 24 + 12
f(4) = -40 + 12
f(4) = -28
a rectangular compound has the dimensions 6 m by 10 m a square carpet is laid in the centre of the compound.Thr carpet is 3 m by 3 m. find the part of the compound that is uncovered by the carpet
Answer:
the uncovered part is 3 by 7
96% of all air travel departs on time. If you are taking 3 flights in one day, what is the probability that all of them depart on time?
Answer: 0.884736
Step-by-step explanation:
Given: The proportion of all air travel departs on time: p= 0.96
Total flights : n= 3
Let x be the number of flights on time.
As there are two cases either flight on time or not, so it is a binomial case.
Binomial distribution formula: [tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex]
The probability that all of them depart on time = [tex]P(X=3)=\ ^3C_3(0.96)^3(1-0.96)^0=(1)(0.96)^3=0.884736[/tex]
The probability that all of them depart on time = 0.884736
aX5/9=35/24 , find x
Answer:
slipknot is the answer to all your problems
Step-by-step explanation:
solve 2(x-2) = 3(x+2)-8
Answer:
x = -2
Step-by-step explanation:
2(x-2) = 3(x+2)-8
Multiply the 2 and 3 out to the numbers in the parentheses. Don't multiply the 3 out to the -8 because it is outside of the parentheses.
2x-4 = 3x+6-8
Combine the 6 and -8
2x-4 = 3x-2
Subtract 2x from both sides
-4 = x-2
Add 2 to both sides
-2=x
Lester started the day with $12 in his pocket he is saving for the new mop with the snazzy Pinstripes on Amazon Prime he works a job making $8 an hour the moped cost $268 write the equation that represents how many days letter needs to work to have $268
Answer:
32h (1 day and 8h )
Step-by-step explanation:
268-12=256
256:8= 32
32h
Answer:
8x+12= 268
Step-by-step explanation:
We know that Lester already has $12, so that would be: +12
Since he works for $8 an hour, x will represent each hour: 8x
*x will determine the number of hours, if you want days, then divide the amount of hours by 24.
(11x+2)° (8x+7)° find value of x
Answer:
Rate = 56 gal / 7 min
= 8 gal / min
Step-by-step explanation:
Hope this helps leave a heart ad maybe brailiest
7 + ✓-25 what is the answer pls
Answer:
7 + 5i
Step-by-step explanation:
What is the square root of 25? Start by thinking about that.
Well, it's 5.
But because the 25 isn't positive, it's negative.
The square is 5i.
Then, you get 7 + 5i.
That can't be simplified any more, so that's your final equation.
what is the factored form of x^3 + 125?
Answer:
(X+5)(x^2-5x+25)
Step-by-step explanation:
465 is what percent of 750?
Answer:
3487.5
Step-by-step explanation:
WHAT IS 5 X 3 TO THE POWER OF 3
Answer:
The answer is 3,375
Step-by-step explanation:
5 x 3=15
15 to the 3rd power is 15 x 15 x 15
15 x 15 x 15= 3,375 :)
Human finger nails grow an average of 3.47mm per month. How much will they grow in 20 months
-2x+1=-x+8
WHAT IS X
Answer:
x=-7
Step-by-step explanation:
add 2x to -x to get 1=x+8, then subtract 8 to get x=-7
Answer:
x = -7
Step-by-step explanation:
1 Regroup terms.
-2x+1=8-x−2x+1=8−x
2 Add 2x2x to both sides.
1=8-x+2x1=8−x+2x
3 Simplify 8-x+2x8−x+2x to 8+x8+x.
1=8+x1=8+x
4 Subtract 88 from both sides.
1-8=x1−8=x
5 Simplify 1-81−8 to -7−7.
-7=x−7=x
6 Switch sides.
-7 = x
x=−7
Hope this helps!
-Jerc
Evaluate x3−y2 if x=2 and y=34
Answer:
- 62Step-by-step explanation:
Evaluate x3−y2 if x=2 and y=34
substitute x=2 and y=32 into the expression:
= x3 - y2
= (2)3 - (34)2
= 6 - 68
= -62
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression x³−y², when x=2, y=34 is −1,148.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given the expression x³−y² and the value of the expression when x=2 and y=34 can be calculated by substituting the values in the expression. Therefore, the expression can be written as,
x³ − y²
Substitute the value of x and y in the expression,
= (2)³ − (34)²
Opening the bracket,
= 8 − 1,156
= −1,148
Hence, the value of the expression x³−y², when x=2, y=34 is −1,148.
Learn more about Expression here:
https://brainly.com/question/13947055
#SPJ2
Help me out please please
Answer:
B. y=3/2x+8
Step-by-step explanation:
To find the perpendicular line, you find the reciprocal or the slope, so the reciprocal of this slope is 3/2. B is the only answer with the correct slope
Answer:
B
Step-by-step explanation:
Easiest way to tell is by flipping the slope and changing the sign, so it goes from -2/3 to 3/2. The only answer with that slope is B
True or false? The graph represents a function.
True, if you use the vertical line test there is never two points on the same vertical line.
9(6j + 1) + j Help ASAP
Answer: 55j+9
Step-by-step explanation: distribute 9 through the parentheses and you would get 54j+9+j collect the terms 55j+9 AND YOUR ANSWER IS 55J+9
Endpoint: (-8, -10), midpoint: (10,-7)
Answer:
(28,-4)
Step-by-step explanation:
if m<1=27 degrees find the m<4
Answer:
Can you specifiy?
Step-by-step explanation:
how do I find the slope
Answer:
plot the numbers
Step-by-step explanation:
Answer:
You need to plot the points on their corresponding places.
Step-by-step explanation:
I am a square number. The sum of my digits is 9. What square numbers might I be?
solve for a. 1/3(21-3a)=6-a
Answer:
no solution
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex] (21 - 3a) = 6 - a ( multiply through by 3 to clear the fraction )
21 - 3a = 18 - 3a ( subtract 21 from both sides )
- 3a = - 3 - 3a ( add 3a to both sides )
0 = - 3 ← not possible
This indicates the equation has no solution
In parallelogram ABCD, the measure of angle A is 99 degrees. Explain why the
measure of adjacent angle B must be 81 degrees.
Answer:
The measure of angle B must be 81° because angles A and B are interior supplementary angles
Step-by-step explanation:
Let us revise the properties of a parallelogram
In any parallelogram:
Every two opposite sides are parallelEvery two opposite sides are equal in lengthEvery two opposite angles are equal in measureEvery to adjacent angles are interior supplementary anglesLet us solve our question
In parallelogram ABCD
∵ AD and BC are opposite sides
∴ AD // BC
∵ ∠A and ∠B are adjacent angles
→ That means ∠A and ∠B are interior supplementary angles
∴ ∠A and ∠B are supplementary angles
∵ The sum of the measures of the supplementary angles is 180°
∴ m∠A + m∠B = 180°
∵ m∠A = 99°
∴ 99° + m∠B = 180°
→ Subtract 99° from both sides
∴ 99° - 99° + m∠B = 180° - 99°
∴ m∠B = 81°
The measure of angle B must be 81° because angles A and B are interior supplementary angles
