Answer:
- 4
Step-by-step explanation:
Step 1:
4 ( 2 - w ) + w = 20 Equation
Step 2:
8 - 4w + w = 20 Multiply
Step 3:
8 - 3w = 20 Combine Like Terms
Step 4:
- 3w = 12 Subtract 8 on both sides
Answer:
w = - 4
Hope This Helps :)
Answer:
w = -4
Step-by-step explanation:
4(2 - W) + w = 20
Distribute:
8 - 4w + w = 20
Subtract 8 from both sides:
-4w + w = 12
Simplify:
-3w = 12
Divide:
w = -4
Double check your work by substitution:
4(2 - W) + w = 20
4(2 - (-4)) + (-4) = 20
4(6) + (-4) = 20
24 + (-4)= 20
20 = 20
Since we know that 20 does equal 20, we can conclude that the final answer is:
w = -4
Two divers are swimming at different depths below sea level. One diver is at -25.5 ft. The other diver is at -40.75 ft. How far are the divers from each other?
Answer:
66.25 ft
Step-by-step explanation:
25.5 + 40.75
66.25
They are 66.25 feet away from each other.
Please let me know if I'm wrong!
4 1/8÷2 3/4 convert the mixed numbers to improper fractions
Answer:
Check picture
Step-by-step explanation:
9514 1404 393
Answer:
1 1/2
Step-by-step explanation:
[tex]\dfrac{4\dfrac{1}{8}}{2\dfrac{3}{4}}=\dfrac{\left(\dfrac{4\cdot8+1}{8}\right)}{\left(\dfrac{2\cdot4+3}{4}\right)}=\dfrac{\left(\dfrac{33}{8}\right)}{\left(\dfrac{11}{4}\right)}=\dfrac{\left(\dfrac{33}{8}\right)}{\left(\dfrac{22}{8}\right)}=\dfrac{33}{22}=\dfrac{3}{2}[/tex]
Then the improper fraction 3/2 can be written as the mixed number 1 1/2.
(4 1/8) / (2 3/4) = 1 1/2
_____
Comment on division of fractions
Fractions can be divided several ways. Two ways that are commonly taught are "invert and multiply", or "match denominators". Here, we have used the second of these methods.
If we were to "invert and multiply", the computation would be ...
(33/8)(4/11) = (33/11)(4/8) = 3(1/2) = 3/2
Instead, we multiplied 11/4 by 2/2 to make it be 22/8, so having a denominator of 8 matching that of the numerator. Then the value of the compound fraction is the ratio of the numerators:
(33/8)/(22/8) = 33/22 = (3/2)(11/11) = 3/2
t> -5
can someone show step by step how to solve this equation?
Answer: The equation cannot be simplified any further.
Explanation: The variable(t) is greater than any number than negative five.
Plz mark brainliest:)
What is the slope of y-5= 3x + 4?
Answer:
x=53
y=19
Step-by-step explanation:
3x + y-5
3(5)=15
15+y
How can a transformed quadratic equation be used real life situation?
Answer:
Quadratic equations are actually used in everyday life, as when calculating areas, determining a product's profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.
Step-by-step explanation:
how many inches of lumber are remaining?
Answer:
I can't really answer this question because there is no picture of actual question but 1 foot = 12 inches so for instance we could do 6 inches + 3 inches = 9 inches.
Step-by-step explanation: How we would solve this problem is simple.
6 + 3 = 9 if you have to turn this into a fraction it would be 9/12 = (3/4).
Which transformation of a shape may result in a new shape not congruent with the original shape?
O dilation
O reflection
O rotation
O translation
Answer:
dilation
Step-by-step explanation:
dilation will make the shape larger or smaller which will change the shape.
64 mi/h to ft/s HELP HELP HELP HELP NOW!!!! WILL PUT 5 STARS AND MARK BRAINLIEST!!!
Answer:
Multiply 64 x 5280
Step-by-step explanation:
You will get your answerhelloAnswer:
64 mi/h = 93.9 ft/s I have the answer guide
A rectangle has a length of 2x+1 and a width of 3x-2.
Write an expression for the area of the rectangle.
Answer:
(2x+1)x(3x-2)
Step-by-step explanation:
area of rectangle = length * width
length = 2x+1
width = 3x-2
area = (2x+1) x (3x-2)
Which expression is equivalent to |-5| + |-3|
Answer:
5+3
Step-by-step explanation:
5+3
Answer:
5+3=8
Step-by-step explanation:
I need help on math
How do you do this question?
Answer:
C, A, D, B
Step-by-step explanation:
(a) We need to compare the sum of this series to 3/4 and 31/36. So we just need to find the sum within 1/36.
1 / (n + 1 + 1)² ≤ 1/36
(n + 2)² ≥ 36
n + 2 ≥ 6
n ≥ 4
So we just need to find the partial sum of the terms from n=0 to n=4.
1 − 1/4 + 1/9 − 1/16 + 1/25 ≈ 0.839
We can use this to approximate the actual sum within 1/64.
(b) 1 − 1/7 + 1/49 − 1/343 + ...
We can rearrange this as the difference between two geometric series:
(1 + 1/49 + 1/2401 + ...) − (1/7 + 1/343 + 1/16807)
∑₀°° (1/49)ⁿ − ∑₀°° 1/7 (1/49)ⁿ
1 / (1 − 1/49) − (1/7) / (1 − 1/49)
(6/7) / (48/49)
7/8
So from smallest to largest, the answer is C, A, D, B.
1 5/16 divided by 7/12
Rewrite the following using the GCF and the distributive property
:32 + 54
Answer:
GCF: 2
Step-by-step explanation:
GCF: 2
(2*16) + (2*27)
A 40 -inch board is to be cut into three pieces so that the second piece is 4 as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.
Answer:
4*4=16 INCHES FOR THE SECOND PIECE. 5*4=20 INCHES FOR THE LONGEST PIECE.
Step-by-step explanation:
x = 20 inch, the length of the first piece
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
given,
Total length = 40 inch
let first piece be = x inch
second piece = 4 times of first piece = 4x inch
third piece = 5 times of first piece = 5x inch
So,
x + 4x + 5x = 200
10x = 200
x = 200/10
x = 20
Therefore, the length of the first piece is 20 inch
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Which number has the same absolute value
as 8
Answer:8
Step-by-step explanation:
Robert bought a 6 pack of cans of iced tea for $2.70. About how much is the unit cost for each can of iced tea?
Answer:
.45$
Step-by-step explanation:
2.70 ÷ 6
Answer:
$0.45
Step-by-step explanation:
If 6 cans of iced tea costs $2.70,
1 can would cost ($2.70 ÷ 6)
A proposed change in income tax suggests charging 20% on a person's income up to $30,000 and then 40% on any
income above that. If a person has an income of $47,000, what will be their income tax under the proposal?
Give your answer in dollars to the nearest dollar. Do not include commas or the dollar symbol in your answer.
Provide your answer below
Answer:
If you get tax you should know the details of the what the tax is FOR
Step-by-step explanation:
Not enough details in question
Answer:
Step-by-step explanation:
Since the person earns over $30,000, they will be charged 20% on $30,000 plus 40% on ($47,000−$30,000)=$17,000. Hence the total amount of tax that they'd need to pay under the proposal is
Total Income Tax=$30,000×20%+$17,000×40%=$30,000×20100+$17,000×40100=$6,000+$6,800=$12,800.
Pls help - Solve for x
Answer:
-3
3x/(x^2+6x) = 1 is this the qstn?
if so then the ans is -3
There are approximately 330,000,000 cubic miles of water on Earth. A cubic mile is approximately 147,200,000,000 cubic feet. How much water is on Earth? Estimate using scientific notation
Answer: 4.8576 × 10^19 cubic feet of water.
Step-by-step explanation:
330m * 147.2b = 48 quintillion feet.
Answer:
5 x 10^19 ft^3
Step-by-step explanation:
What do you know about the slope of two parallel lines? *
They have the opposite sign of each other
They are reciprocals of each other
They have the same slope
They have negative reciprocal slopes
Answer:
same slope
Step-by-step explanation:
if it has the same slope then the you will know the two lines are parallel
hope this helps
brainliest?
Never Going To Give You Up never going to let you down never gonna run around baby nor desert you Rick roll..
Answer:
we're no strangers to love
Step-by-step explanation:
you know the rules, and so do I
400 reduced by twice my age is 68 how old am i
hope it helps.........
Help pls it’s urgent
Answer:
d. -2
Step-by-step explanation:
they're telling you those lines are parallel there are specific knowns about the angles
since it's urgent I won't go into it, but PLS look it up it's super simple and makes sense
nonetheless this means angle 1 and angle 5 are the same value so we can set them equal
3x + 24 = 7x + 32
substract 32 from both sides
3x - 8 = 7x
substract 3x from both sides
-8 = 4x
divide 4 from both sides
-2 = x
How much mixed spice will she need for 6 spice
Answer:
who
Step-by-step explanation:
Estimate the square root of the imperfect square of 18.
Answer:
18 times four is 72
Step-by-step explanation:
7(10x+5-9x)=70
I rly need help on this
Answer:
x = 5
Step-by-step explanation:
1. Combine like terms
2. Multiply by 1
3. Distribute
4. Subtract 3
5 from both sides of the equation
5. Simplify
6. Divide both sides of the equation by the same term
7. Simplify
Two shooters, Rodney and Philip, practice at a shooting range. They fire 100 rounds each at separate targets. The targets are marked with circles and each bullet hitting a particular circle gets them a particular number of points. 60 rounds are selected at random. The sample mean scores of Rodney and Philip are 8 and 10, respectively. And, their variances are 0.25 and 0.50, respectively The standard error of the difference between their mean scores is ______________ (Round your answer to two decimal places.) The 95% confidence interval for the difference between the mean scores Rodney and Philip is ________ _____________: (Enter a minus sign if your answer is negative. Round your answer to two decimal places.)
Answer:
A) SE = 0.1118
B) 95% Confidence interval is;
-2.22 < μ1 - μ2 < -1.78
Step-by-step explanation:
We are given;
Sample size; n = 60
Sample mean 1; x1 = 8
Sample mean 2; x2 = 10
Variance 1; v1 = 0.25
Variance 2; V2 = 0.5
Now,
Standard deviation is given by the formula ;
σ = √variance
Thus;
σ1 = √0.25
σ1 = 0.5
σ2 = √0.5
σ2 = 0.7071
Formula for standard error of mean is;
SE = σ/√n
Thus;
SE1 = 0.5/√60
SE1 = 0.06455
SE2 = 0.7071/√60
SE2 = 0.0913
The standard error of the difference between their mean scores would be;
SE = √[(SE1)² + (SE2)²]
SE = √(0.06455² + 0.0913²)
SE = 0.1118
Formula for 95% confidence interval is;
(x1 - x2) - ((Z_α/2) × SE) < μ1 - μ2 < (x1 - x2) + ((Z_α/2) × SE)
Where Z_α/2 is the critical value. At confidence interval of 95%, we have a critical value of 1.96 from tables.
Thus, plugging in the relevant values, we have;
(8 - 10) - (1.96 × 0.1118) < μ1 - μ2 < (8 - 10) + (1.96 × 0.1118)
-2.22 < μ1 - μ2 < -1.78
16B+3.5W = 22 Antoine bikes part of the way on a 22 mile trail and walks the rest of the way. If he spends B hours biking and W hours walking, the trip is modeled by the equation shown above. What is the meaning of the 16B in the equation?
Answer:
Antoine bikes for 16B miles before starting his walk.
Step-by-step explanation:
16 is that speed which is covered in B hours by bike by Antoine
What is speed?Speed is defined as The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
Speed = [tex]\frac{distance}{time}[/tex]
Given,
16B+3.5W = 22 an equation in which B is time covered by bike and W is time covered by walk
Antoine travels partially by bike and partially by walk, and total covered 22
That means 16B is the distance covered by bike, and 16 is its speed.
Hence, 16 is that speed which is covered in B hours by bike.
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Choose all sets that contain the number - 2.22.
Natural numbers
whole numbers
integers
Rational numbers
irrational numbers
Real numbers
Answer:
D, F
Step-by-step explanation:
rational numbers
real numbers