Answer:
x = -4
Step-by-step explanation:
2(-2x - 4) + 6 = 5 - 3(x+1)
Distribute the numbers outside the parenthesis to the numbers inside the parenthesis. You should have this equation:
-4x - 8 + 6 = 5 - 3x -3
Combine like terms:
-4x - 2 = 2 - 3x
Add a positive 3x to both sides to have the variable x on one side only.
-4x - 2 = 2 - 3x
+3x +3x
-x - 2 = 2
Add two to both sides to isolate the variable, x.
-x - 2 = 2
+2 +2
-x = 4
Divide both sides by -1 to leave x by itself.
-x = 4
-1 -1
x = -4
The final answer should be x = -4.
A geometric sequence starts with 10, 5, . . . Explain how you would calculate the value of the 100th term.
Answer:
The 100th term will be;
10(0.5)^99
Step-by-step explanation:
Firstly, we need the common difference and the first term
The first term is 10
The common difference is 5/10 = 1/2
Now, the formula for the nth term of a geometric sequence is;
ar^n-1
So, for the nth term, we have;
ar^(100-1)
= ar^99
So we have
10(1/2)^99
What is the distance between (-9, 4) and (-4, 4)?
Answer:
5
Step-by-step explanation:
The difference between the length and width of a rectangle is 4 units. The perimeter is 40 units. Enter and solve a system of equations to determine the length and width of the rectangle. (Hint: The perimeter of a rectangle is 2l + 2w.)
Answer:the length and width of the rectangle are 12 and 8 respectively
Step-by-step explanation:
Step 1
The perimeter of a rectangle is 2l + 2w where l= length and w= width giving us that
2l+2w=P
2l + 2w = 40
2(l+w)= 40
l +w = 20
Also we were given The difference between the length and width of a rectangle is 4 units giving us that
l-w= 4
Here our systems of equation to solve the problem
l-w= 4----- Equation 1
l +w = 20-----Equation 2
Step 2
I-w=4---- Equation 1
l +w = 20---Equation 2
Adding equation 1 and 2
I-w=4
+l +w = 20
2l =24
l=24/2
=l=12
To find w, we put the value of l=12 into equation 1
I-w=4
12-w= 4
w= 12-4
w=8
Therefore the length and width of the rectangle are 12 and 8 respectively
Can you create electricity with magnetism?
Answer:
Yes. That's how a magneto on a small lawn mower creates the spark for the spark plug. A magnet passes a coil and energizes the coil to produce electricity.
Step-by-step explanation:
Which sets of ordered pairs show equivalent ratios?. Check all that apply. (1, 2), (2, 3), (4, 7) (2, 2), (4, 4), (6, 6) (3, 1), (4, 1), (5, 1) (4, 1), (8, 2), (12, 3) (2, 1), (4, 3), (5, 4)
Answer:
(2, 2) ; (4, 4) ; (6, 6)
(4, 1) ; (4, 1) ; (8, 2) ; (12, 3)
Step-by-step explanation:
(1, 2), (2, 3), (4, 7) (2, 2), (4, 4), (6, 6) (3, 1), (4, 1), (5, 1) (4, 1), (8, 2), (12, 3) (2, 1), (4, 3), (5, 4)
Evaluating the ratio of each pair :
(1, 2) = 1/2 = 0.5
(2,3) = 2/3 = 0.67
(4, 7) = 4/7 = 0.57
(2,2) = 2/2 = 1
(4, 4) = 4/4 = 1
(6, 6) = 6/6 = 1
(3, 1) = 3 /1 = 3
(4, 1) = 4 / 1= 4
(5,1) = 5 / 1= 5
(4, 1) = 4 / 1 = 4
(8, 2) = 8/2 = 4
(12,3) =12/3 = 4
(2, 1) = 2/1 = 2
(4,3) = 4 / 3 = 1.33
(5, 4) = 5 / 4 = 1.25
Pairs with equivalent ratios :
Ratio of 1;
(2, 2) ; (4, 4) ; (6, 6)
Ratio of 4:
(4, 1) ; (4, 1) ; (8, 2) ; (12, 3)
The appropriate measure of center to describe the data distribution is the:
Mean
Median
Answer:
median
Step-by-step explanation:
Nancy can do a typing job in 8 hours, when Carole helps her, they can do the job in 5 hours. How many hours would it take Carole to do it alone
Answer: [tex]\frac{40}{3}\ \text{hours}[/tex]
Step-by-step explanation:
Nancy can do typing job in 8 hours
i.e. in 1-hour nancy can [tex]\frac{1}{8}[/tex] part of work
Together they can do that work in 5 hours
or in 1 hour [tex]\frac{1}{5}[/tex] part of work is done
suppose Carole takes x hours for the work
so, in 1 hour [tex]\frac{1}{x}[/tex] part is done
If both work together for 1 hour then we can write
[tex]\frac{1}{8}+\frac{1}{x}=\frac{1}{5}[/tex]
[tex]\frac{1}{x}=\frac{1}{5}-\frac{1}{8}[/tex]
[tex]x=\frac{40}{3}\ \text{hours}[/tex]
Evaluate the expression 2.1x - 4.3 for x = 2.2.
Answer:
.32
Step-by-step explanation
Juan has gained 20 lb. since last year. He now weighs 120 lb. Rashod is 15 lb. heavier than Diego. If Rashod and Juan weighed the same amount last year, how much does Diego weigh?
Answer:
Diego weighs 85 lbs.
Step-by-step explanation:
Mr. Chen drives 26 miles to work every day. He drives the same distance to get back home. How many miles does he drive during a 5-day work week
Answer:
260 miles
Step-by-step explanation:
Given that,
Total distance driven by Mr. Chen everyday = 26 miles
He drives the same distance to get back home.
It means total distance driven by Mr. Chen to go and come back = 2(26) = 52 miles
We need to find how many miles does he drive during a 5-day work week.
Total distance = 5×52
= 260 miles
Hence, he will drive 260 miles during a 5 day work week.
HELP ME OUT HERE PLEASEEEEE
Answer:
a. 29
b. 0.25
c. 75
d. 64
Step-by-step explanation:
You just basically plug in the number for x and solve.
Will someone kindly assist me on this please?
Answer:
Step-by-step explanation:
so g(5) mean x = 5 and you just plug 5 into the equation
so
g(x)= X^2 - 2X
=> g(5) = 5^2 - 2.5 = 25 - 10 = 15
Simplify the expression by combining like terms.
15r - 7s + 2r + s
Answer:
17r - 6s
Step-by-step explanation:
how to find a percentage
Answer:
you just multiply it by 100, thats all
for example, to change 4 to percentage, multiply it by 100
400%
i hope this helps
Stay safe from the virus
Step-by-step explanation:
the price of an item yesterday was $110 today the price fell to $33 find the percentage decrease
Answer:
70% decrease
Step-by-step explanation:
33 = 30% of 110
What is the value of n?
–2n – 16 = 4n + 8
Answer:
(n = 12)
Step-by-step explanation:
-2n - 16 = 4n + 8
+4n +4n
2n - 16 = 8
+ 16 +16
2n = 24
2 2 = 12
(n = 12)
To make punch for the class party, Mrs.Lui mixed 1 and 1/3 cups orange juice, 3/4 cup apple juice, 2/3 cup cranberry juice, and 3/4 cup lemon-lime soda. Mixed together, how many cups of punch does the recipe make?
Answer: 3 1/2
Step-by-step explanation: First you have to convert the fractions so that they all have the same denominator. Using 12 will be the easiest. 1 and 1/3 equals 16/12 because 1/3 equals 4/12 and 1 equals 12/12. 3/4 equals 9/12. 2/3 equals 8/12. And 3/4 equals 9/12 again. 16/12 plus 9/12 plus 8/12 plus 9/12 equals 42/12. 42/12 in the simplest form would be 3 and 1/2, because 42 divided by 12 is 3.5.
Solve 16x + 181 = 12x. Identify the solution and an extraneous solution.
A. Solution: x= -1; extraneous solution: x = 3
B. Solution: x = 1; extraneous solution: x = -3
C. Solution: x = 3; extraneous solution: x= -3
D. Solution: x= 3; extraneous solution: x = -1
Answer:
I think the answer is C. Solution: x = 3; extraneous solution: x= -3
what is the slope of (-6, 10) and (0, -5)
Answer:
[tex]\frac{-15}{6}[/tex]
Step-by-step explanation:
[tex]\frac{-5-10}{0-(-6)}[/tex]
[tex]\frac{-15}{6}[/tex]
the tables represent two linear functions in a system.
which is the solution to this system?
A. {-13/3, -25}
B. {-14/3, -54}
C. (-13, -50)
D. (-14, -54)
What is the y-intercept of the graph that is shown below? On a coordinate plane, a line goes through points (0, 2) and (3, 0). (–3, 4) (0, 2) (2, 0) (3, 0)
Answer:-2/3
Step-by-step explanation:the problem is asking for the slope of (0,2) and(3,0). The formula for this problem is y2-y1 over x2-x1. And if your writing this formula down write it like a fraction with y on top and x on bottom. (x,y) (x2,y2). You take the 0 from the second set and the 2 from the first set and subtract them to get -2. Then you take the 3 from the sea d set and the 0 from the first set and you subtract them to get 3. That’s how you get the answer of -2/3.
Answer
(0,2)
Step-by-step explanation:
complete the missing value in the solution to the equation -3x+7y=5x+2y
Find the volume of a cylinder that has a radius of 11 m and a height of 9 m.
Answer:
The volume would be 3,421.19m
At the beginning to the year, Ms. Mitchell had 185 pencils Ms. Mitchell now has 60% of the pencils she started with, how many pencils does she have now?
Answer:
111
Step-by-step explanation:
you’d multiply
What is the slope of the line below?
Answer:
-1/2
Step-by-step explanation:
please help me please will give brainliest
Answer:
A right triangle is equal to 180 degrees so we would subtrat 90 and 42 to find the missing angle
90+42
=132
180-132
=48 degrees
Answer is A
If Cam gets 1000$ dollars every 2 weeks how much money will he make in a year?
Answer:
24,000
Step-by-step explanation:
That is 2000 every month. 2000 × 12 = 24000
Answer:
Than you for your points:)))))))
True or False? -|7| = |-7|
Explain please.
Answer:
False
Step-by-step explanation:
Notice how the negative symbol is outside the first number and inside the first number. If the negative symbol is outside the absolute value, the number will remain negative. If the negative symbol is inside the absolute value, the number will turn to positive.
Best of Luck!
If a football field is 100 yards long and 54 yard wide and what is the area in perimeter of that football filed
Answer:
5400
Step-by-step explanation:
you would measure the length and width. Multiply the length by the width to get the area, and add twice the length to twice the width to get the perimeter
Please rewrite using the distributive property and GCF 81-30
