What is the solution to the inequality below? 2(x -1) - 4(x + 2) < 5x
Answer:
[tex]\boxed {x > -\frac{10}{7}}[/tex]
Step-by-step explanation:
Solve the given inequality:
[tex]2(x - 1) - 4(x + 2) < 5x[/tex]
-Use Distributive Property:
[tex]2(x - 1) - 4(x + 2) < 5x[/tex]
[tex]2x - 2 - 4x - 8 < 5x[/tex]
-Combine like terms:
[tex]2x - 2 - 4x - 8 < 5x[/tex]
[tex]-2x - 10 < 5x[/tex]
-Subtract both sides by [tex]5x[/tex]:
[tex]-2x - 10 - 5x < 5x - 5x[/tex]
[tex]-7x - 10 < 0[/tex]
-Add both sides by [tex]10[/tex]:
[tex]-7x - 10 + 10 < + 10[/tex]
[tex]-7x < 10[/tex]
-When you are dividing a integer by a negative integer, the inequality sign would change. So, divide both sides by [tex]-7[/tex]:
[tex]\frac{-7x}{-7} < \frac{10}{-7}[/tex]
[tex]\boxed {x > -\frac{10}{7}}[/tex] (final answer)
Please answer quickly
Which of the following could be the number shown on the number line?
Answer:
A
Step-by-step explanation:
6 is the square root of 36 since it is to the left of it it should be less than 36. That leaves 35 and 30. 35 is closer to 6 as it is almost there so the answer is[tex]\sqrt35[/tex]
6(2y-2)=36 what is the answer?
Answer:
y= 4
Step-by-step explanation:
Henry bought 4 pies, which he plans to share with a group of his friends. If there is exactly enough to give each member of the group one-sixth of the pie, how many people are in the group?
Answer:
4 divided by 1/6 is 4 times 6 which equals 24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
You basically need to do 4x6 because there are four pies and you're giving out 1/6 of them to each person
You spend 3 2/3 hours hiking and an additional 3/4 hour to rest.
A) How much time did you spend hiking and resting?
____ Hours
B) How much more time did you spend hiking than resting?
____ Hours
Explain how you got your answer.
Answer:
A: 3 hours and 55 minutes
B: 3 hours and 40 minutes more time hiking than resting.
Step-by-step explanation:
Your sister can get $30 per day, d, for selling clothes at the market. But she has to pay $60 at first for renting a stand. You can get $20 per day for helping your neighbor rake lawns. After how many days will your sister earn as much as you?
Answer:
6 days
Step-by-step explanation:
pay 60 = -60
Let d = the number of days
30d - 60 = sister
20d = me
Equation:
30d - 60 = 20d Move 30 to the other side
-30d -30d
-60 = 20d - 30d Combine liked terms
-60 = -10d
-10 -10 Divide
d = 6
At the party ⅗ of a pie are eaten.
Jo eats ⅘ of what is left.
What fraction of the pie does Jo eat?
(could you show your work:))
Answer:
1/10 of the pie
Step-by-step explanation:
Step-by-step explanation:
5/5-3/5=2/5
2/5-4/5 of itself
This leave 1/5 of 2/5
if we make this decimals then it becomes 0.40
0.40/5=0.08
or 8/100,4/50,2/25
What is 4.3% as a decimal
Answer:
0.043
Step-by-step explanation:
Divide by 100.
4.3 / 100 = 0.043
Best of Luck!
Help pleasseeeeeeeeeeeeeeeeeeer
Answer:
4
Step-by-step explanation:
8/12 simplifies to 4/6. so x needs to be 4 for it to work
my bros if 1+1 was to = 3 would 2+2=5?
Answer:
No
Step-by-step explanation:
1+1=2 2+2=4
Jonathan wants to investigate the effect that friction has on the amount of force needed to pull an object over surfaces with different textures.
For his test, he gathers the following materials:
• A 1-kilogram wooden board
• A1-meter length of string
A spring scale
• 1 sheet each of felt, construction paper, coarse sandpaper, and wax paper
• 1 roll of masking tape
Jonathan ties one end of the string around the board and the other end to the hook of the spring scale. He tapes the felt, construction paper,
sandpaper, and wax paper side by side on a tabletop. Then he slowly pulls the board across each of the four different surfaces, one surface at
a time. He records the amount of force it takes to move the board over each surface. Which surface would require the least force to move the
board?
O A. Coarse sandpaper
O B. Construction paper
OC. Felt
O D. Wax paper
Answer:
sand paer
Step-by-step explanation:
dd,,dd,
ddmdmdmdmmddmmdddmdmmdmdmd
why are 6, 8, 10, 5, 12, 13 the pythagorean triples
I need this in less than 20 minutes!! Any help is appreciated!
Answer:
Answer is x=-2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
The answer is C which is 2
y = 3x - 2 what is the answer
Answer:
[tex]x = \frac{2}{3}[/tex] [tex]y = -2[/tex]I hope this helps!
. The equation y=5+0.5x represents the cost of getting a car wash and using the vacuum for x minutes. What is the y-intercept?
The y-intercept is 5.
The y-intercept is -5.
The y-intercept is 6.
The y-intercept is -6
25 POITNS Suppose a six-sided die has one side numbered with a 9, two sides numbered with a 10, two sides numbered with an 8, and one side numbered with an 11.
What is the expected value of a die roll on this die?
Enter your answer as a number, rounded to two decimal places if necessary, like this: 42.53
Answer:
9.33
Step-by-step explanation:
hope that helps!
In triangle TRS, TZ = (3x) inches and WZ = (2x - 3) inches. Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U. [Figure may not be drawn to scale] What is WZ? 6 inches 9 inches 18 inches 27 inches
Answer:
it is 9
Step-by-step explanation:
The value of WZ will be equal to WZ= 9 inches so the correct option is B.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
We have: U is the midpoint of TR, V is the midpoint of TS and W is the midpoint of SR
This means that.Z is the centroid of the given triangle centroid point divides any median in the triangle in the ratio of 2:1 from the vertex
This means that:
TZ = 2ZW
3x = 2(2x-3)
3x = 4x - 6
x = 6
Now, we get WZ as follows:
WZ = 2x - 3 and x = 6
WZ = 2(6) - 3
WZ = 12 - 3
WZ = 9 in
Therefore the value of WZ will be equal to WZ= 9 inches so the correct option is B.
The complete image of the triangle is attached with the answer below.
To know more about Trigonometry follow
https://brainly.com/question/24349828
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what would be the measure of angle A?
A. 70 degrees
B. 79 degrees
C. 55 degrees
D. 44 degrees
Answer:
D because that is the smallest angle on there baby doll
Step-by-step explanation:
have a nice day sugar bear
Answer:
D
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
4x + 8x - 9 + 57 = 180, that is
12x + 48 = 180 ( subtract 48 from both sides )
12x = 132 ( divide both sides by 12 )
x = 11
Thus
∠ A = 4x = 4 × 11 = 44° → D
Which list contains all of the factors of the number 48? (1 point)
O1, 2, 3, 4, 6, 8, 12, 16, 24
O2, 3, 4, 6, 8, 12, 16, 24, 48
O1, 2, 3, 4, 6, 8, 12, 16, 24, 48
O1, 2, 3, 4, 6, 8, 9, 12, 16, 24. 48
Answer:
1,2,3,4,6,8,12,24,48.
Step-by-step explanation:
To Find A Factor Of A Number You'll Need To Find Two numbers by which you multiply to get the number you're looking for.SO TO FIND THE FACTOR OF 48 YOU WILL NEED TO FIND TWO NUMBERS THAT CAN MULTIPLY EACH OTHER AND GIVE A PRODUCT OF 48
1×48=48(Any number multiplied by 1 is the number itself and 1 multiplied by 48 is 48 so it makes it a factor)
2×24=48(Here you can clearly see that when 2 is multiplied by 24 the product is 48 so 2 and 24 becomes a factor of 48)
3×16=48(So getting the product 48 by multiplying 3 and 16 3 and 16 becomes a factor of 48)
4×12=48(You can see that when you multiply 4 by 12 the product is 48 so 4 and 12 becomes a factor of 48)
5×?=48(You can't get any number to multiply by 5 to get 48 so the number 5 is not a factor of 48)
6×8=48(With this you can see that when 6 is multiplied by 8 its product is 48 so it becomes a factor of 48)
So The Factors We Got After We Multiplied The Two Numbers Are As Follows;
1 and 48
2 and 24
3 and 16
4 and 12
So the above numbers becomes the factor of 48
So the factors of 48 are: 1,2,3,4,6,8,12,24,48.
Ethan had his two friends over for pizza. Ethan ate 1/4 of the pizza. One of his friends ate 3/8 of the pizza and the other friend ate 1/8 of the pizza. How much of the pizza is left?
Answer:
2/8 or 1/4
Step-by-step explanation:
this is because 2/8+3/8+1/8= 0.75
0.75=3/4
1-3/4=1/4
The amount of pizza left Ethan had his two friends will be 1/4.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Ethan had his two friends over for pizza. Ethan ate 1/4 of the pizza. One of his friends ate 3/8 of the pizza and the other friend ate 1/8 of the pizza.
Then the amount of pizza left is given as,
⇒ 1 - 1/4 - 3/8 - 1/8
⇒ 8/8 - 2/8 - 3/8 - 1/8
⇒ (8 - 2 - 3 - 1) / 8
⇒ (8 - 6) / 8
⇒ 2/8
⇒ 1/4
The amount of pizza left Ethan had his two friends will be 1/4.
More about the Algebra link is given below.
https://brainly.com/question/953809
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please help no work needs to be shown
Given g(x) = 2x + 1, solve for x when g(x) = 7.
I hate algebra and really don’t get it so plz help
Answer:
x=3
Step-by-step explanation:
7
=
2
+
1
7=2x+1
7=2x+1
Solve
1
Subtract
1
1
1
from both sides of the equation
7
=
2
+
1
7=2x+1
7=2x+1
7
−
1
=
2
+
1
−
1
7{\color{#c92786}{-1}}=2x+1{\color{#c92786}{-1}}
7−1=2x+1−1
2
Simplify
3
Divide both sides of the equation by the same term
4
Simplify
Solution
3
=
Answer:
x=3
Step-by-step explanation:
g(x)=7
7=2x+1
subtract 1 on both sides
6=2x
divide by 2 on both sides
x=3
If u understand this May u help me please
Answer:
Sure what you need help with?
Step-by-step explanation:
Find the measure of angle b.
calculate the estimate of the mean height of the students in cm and explain your answer
Step-by-step explanation:
we find the average height of each height first,
t¹= (120+124)/2
=244/2
=122
t²= (124+128)/2
t²= 252/2
t²= 126
t³= (128+132)/2
t³= 260/2
t³= 130
t⁴= (132+136)/2
t⁴= 268/2
t⁴ =134
t⁵= (136+140)/2
t⁵= 276/2
t⁵= 138
so multiplying each height by its frequency we can find the total height, so we have..
total height= (122*7)+(126*8)+(130*13)+(134*9)+(138*3)
= 854+1008+1690+1206+414
= 5172
mean height = total height/total frequency
= 5172/40
=129.3
Which matrix represents matrix C?
Answer:
The C programs in this section perform the operations of Addition, Subtraction and Multiplication on the 2 matrices. The transpose of a matrix is the interchange of rows and columns.
Which of the following equations is y = x2 – 5x – 14 in factored form?
Oy= (2-7)(2+2)
Oy= (x + 7) (x - 2)
Oy= (x - 5)(x – 14).
Oy= (x + 5) (x + 14)
Need help ASAP PLS
Answer:
Y = (x - 7) (x + 2)
Step-by-step explanation:
PLZZZ HELPP ITSS A EXAMMM
What is the fiftieth term of the arithmetic sequence 3, 7, 11, 15, ... ?
A.199
B.151
C.53
D.203
Answer:
If i did the math correctly it should be 199.
~WILL GIVE BRAINLIEST~ What is the slope of this line (in the picture)? Enter your answer as a fraction in simplest term in the box.
Answer:
-2/2 wich is equal to -1
Step-by-step explanation:
help for some points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
parallel, series
Step-by-step explanation:
