2(1/2 w -4) ≤-(w-5)
Use the distributive property:
w-8 ≤ -w + 5
Add 8 to both sides:
w ≤ -w + 13
Add w to both sides:
2w ≤ 13
Divide both sides by 2:
w ≤ 13/2
Answer:
w ≤ 13/2
Step-by-step explanation:
2(1/2w - 4) ≤ -(w - 5)
w - 8 ≤ -w + 5
w - 8 + w ≤ -w + 5 + w
2w - 8 ≤ 5
2w - 8 + 8 ≤ 5 + 8
2w ≤ 13
2w/2 ≤ 13/2
w ≤ 13/2
Could you help please i really dont get it
Answer:
[tex]3.4 \: apple \: pounds = 5.61 \: dollars \\ 1 \: apple \: pound = \{ \frac{(1 \times 5.61)}{3.4} \} \: dollars \\ \\ = { \boxed{ \boxed{1.65 \: dollars \: per \: pound}}}[/tex]
Answer:
1.65
Step-by-step explanation:
5.61/3.4=1.65
solve for x. y = 1/3 (x + w)
73. Find F when C = 30 degrees in the formula F=9/5c+32 degrees
Answer:
f = 86
Step-by-step explanation:
f = 9/5c + 32
~Substitute
f = 9/5(30) + 32
~Simplify
f = 54 + 32
f = 86
Best of Luck!
Caroline works in her family restaurant waiting on tables. She is $8.25 per hour for all hours up to 37 in one week and then time and a half for any hours over 37 worked in one week. What would her gross earnings for a week be in which she worked 45 hours?
Answer:
404.25 dollars
Step-by-step explanation:
First, we do 8.35 times 37, and we get 305.25.
Next, we subtract 37 from 45 and get 8.
Then, we do divide 8.25 in half, and get 4.125.
After that we add 4.125 to 8.25 and get 12.375.
Then we do 12.375 times 8 and get 99
Finally, we add 99 and 305.25 together and get 404.25 dollars.
72. Evaluate 5a + 3a2 when a = - 3
[tex]5a + 3 {a}^{2} \\ = 5( - 3) + 3( { - 3}^{2} ) \\ = - 15 + 3(9) \\ = - 15 + 27 \\ = 12[/tex]
I hope I helped you^_^
Answer:
12
Step-by-step explanation:
5a + 3a^2 when a = -3
~Substitute
5(-3) + 3(-3)^2
~Simplify
-15 + 3(9)
-15 + 27
12
Best of Luck!
The conference will begin at 8:30 a.m. and will last 5 hours 45 minutes. What time will the conference be over?
Answer:
The conference will be over at 2:15 pm.
Step-by-step explanation:
We're planning to enclose a rectangular field with fencing, and we know that for whatever reason we want the field to be 50 feet square. We also know that the field's width should be 23 feet longer than the field's length. What are the field's dimensions?
Answer:
[tex]? \times \frac{?}{?} [/tex]
d
Answer:
2 by 25 feet.
Step-by-step explanation:
Let L and W be the length and the widht of the field
we want W = L + 23 and W x L = 50
So
(L + 23) x L = 50
[tex]L^2 + 23L = 50\\L^2+23L-50 =0\\(L+25)(L-2)=0\\L=-25 \text{ or } L = 2[/tex]
Since L must be positive then L =2 and W = 2 + 23 = 25.
(01.01 LC)An athlete took forward and backward steps of equal distance to warm up before his race. After taking 10 steps total, he was back at his starting position. How many steps did the athlete take in the forward and backward directions?
I would love the help.
9514 1404 393
Answer:
5 steps forward5 steps backwardStep-by-step explanation:
In order for the total displacement to be zero, the amount of forward displacement must be equal and opposite to the amount of backward displacement. Since the steps are the same length, they must be equal in number.
Half of the 10 steps were forward, and the other half were backward.
5 steps forward; 5 steps backward.
_____
Additional comment
Math develops from an effort to model the real world. It would probably give you some insight into this problem if you were to physically take some steps to see how many forward and backward you would need to end where you start.
Loretta earns $10 a week
and puts $7.50 a week
into savings account and spends
the rest. How much does she
spend in six weeks?
A nut-raisin mix costs $5.26 per pound. Rashid buys 15.5 pounds of the mix for a party. Rashid’s estimated cost of the nut-raisin mix is
$81.53 is the cost of nut-raisin mix
Which expression is equivalent to (3−22)+5?
All the Second 2s are exponent
5−22
22−5
5−32
32−5
Answer:
3²-5
Step-by-step explanation:
(3-2²)+5=4
3²-5=4
Answer:
D
Step-by-step explanation:
First off, lets simplify (3-2^2)+5 = -1+5 = 4
We will need to find an expression that will equal to 4
lets try 1, 5-2^2 = 1, 1 =\ 4
Alright, lets try 2, 2^2 -5 = -1, -1=\5
Now lets try 3, 5 - 3^2 = -4, -4=\4
So by process of elimination we can say that D is correct by I will show you why it is correct. 3^2 -5 = 4, 4=4
If you have any questions ask me.
Hope it helped :)
How to solve -3/9 + ( -2 9/10)
[tex] - 3 \sqrt{8 + ( - 2 \times \frac{9}{10} } [/tex]
9514 1404 393
Answer:
-3 7/30-7.46994Step-by-step explanation:
We understand this to be two separate problems.
-3/9 +(-2 9/10) = -(3/9 +2 9/10)
= -(10/30 +87/30) = -97/30 = -3 7/30
__
-3√(8 +(-2(9/10))) = -3√(8 -1.8) = -3√6.2 ≈ -7.46994
__
Additional comment
A calculator can help with these, especially if it is able to deal with rational numbers. (Many graphing calculators and some scientific calculators will do that more or less nicely. My favorite Android calculator app makes arithmetic with fractions and mixed numbers very easy.)
5) Simplify the expression (2x - 5y) + (x + y).
Answer:
3x - 4y
Step-by-step explanation:
(2x - 5y) + (x + y)
2x + -5y + x + y <--- Let's remove the parentheses
(2x + x) + (-5y + y) <--- Combine Like Terms
3x - 4y <--- Final Answer :)
Answer:
(2x *x) + (-5y + y)
[tex] {2}^{2} + - {5y}^{2} [/tex]
Explain why a set of points that defines a plane cannot be collinear
Answer:
Three non-collinear points determine a plane.
Step-by-step explanation:
This statement means that if you have three points not on one line, then only one specific plane can go through those points. The plane is determined by the three points because the points show you exactly where the plane is
A motorist drives on a state road to and from work each day and pays $3.50 on tolls one-way.
(a) Write a model for the cost for tolls C (in S) for x working days.
(b) The department of transportation has a prepaid toll program that discounts tolls for high-volume use. The motorist can buy a pass for $112 per month. How many working days are required for the motorist to save money by buying the pass?
The model for the tolls cost is C= ?
Answer:
Step-by-step explanation:
Solve the equation.
3y + 4(y - 6) = 8y - 3(y - 10)
TERE
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
B. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
Answer:
A= the solution is 27
Step-by-step explanation:
3y+4(y−6)=8y−3(y−10)
3y+4(y−6)=8y−3(y−10) - Simplify
3y+(4)(y)+(4)(−6)=8y+(−3)(y)+(−3)(−10)(Distribute) - Simplify
3y+4y+−24=8y+−3y+30 - Simplify
(3y+4y)+(−24)=(8y+−3y)+(30)(Combine Like Terms)
7y+−24=5y+30
7y−24=5y+30
7y−24−5y=5y+30−5y - Subtract 5y from both sides
2y−24=30
2y−24+24=30+24 - Add 24 to both sides
2y=54
2y/2 = 54/2 - Divide both sides by 2
y=27
If the surface area of a cube is 384, what is the length of one of the sides of
the cube?
Answer:
S = 8
Each side of a face is 8 units.
Step-by-step explanation:
The surface area of the cube is 384 units.
One face of the cube has an area of s^2
A cube has 6 faces
6s^2 = 384 Divide by 6
s^2 = 384 / 6
s^2 = 64 Take the square root of both sides
sqrt(s^2) = sqrt(64)
s = 8
Answer:
8 units
Step-by-step explanation:
Area of 1 side = 384 ÷ 6 = 64 sq units
Length of 1 side = sq.rt. (64) = 8 units Answer
What operation on both sides of the equation 6x=42 isolates the variable on one side? There may be more than one correct answer.
A. Subtracting 6x
B. Adding 6
C. Dividing by 6x
D. Dividing by 6
E. Multiplying by 6
F. Multiplying by 1/6
G. Dividing by 42
Answers:
D. Dividing by 6
F. Multiplying by 1/6
Step-by-step explanation: Dividing both sides by 6 and Multiplying by 1/6 will isolate the variable on one side because we will get the value of what x is equal too. X is equal to 7.
Answer:
D,E,F,G
Step-by-step explanation:
Express 350 as a product of its product factors
Answer:
70
Step-by-step explanation:
The prime factors of 350 are 2,5,7. Therefore, the product of prime factors = 2×5×7=70
The number of votes received by Margie and Rachel are listed below. How many
TOTAL votes were cast in the election?
We have that Total votes cast in the election is the vote cast for Margie and Rachel summed up
[tex]Total\ vote=\sum Rachel +\sum Margie[/tex]
It is important to note that an election comprise of two or more candidates facing off against each other to decide who a group of people want for a position
From the Question we are told that
There is suppose to be a table of votes cast
Generally the Total votes cast in the election is the vote cast for Margie and Rachel summed up
Therefore
[tex]Total\ vote=\sum Rachel +\sum Margie[/tex]
For more information on this visit
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Find the Least Common Multiple (LCM) of 50 and 90
Answer:
450
(I can't post the answer if it's less than 20 letters so just ignore this I'm trying to fill up)
A park ranger hiked 3/4 mi to a lookout, another 5/7 mi to a bird's nest, and finally 5/14 mi to a campsite. How far did the park ranger hike?
Answer:
2 miles and 88 yards.
Step-by-step explanation:
4 has 2*2 as prime factors
5 is prime
10 has 2 and 5 as prime factors
Thus, the lowest common denominator will be 2*2*5
3/4=15/20
3/5=12/20
7/10=14/20
Now that we have three fractions with the same denominator, we can add the numerators
15+12+14=41
So 41/20ths
That’s 2 and 1/20th
So the final answer is 2 miles and 88 yards! :)
Question 9 of 10
If f(x) = 2x^2+ 1 and g(x) =x^2 - 7, find (f – g)(x).
O A. 3x2 + 8
B. 3x2 - 6
C. x2 - 6
D. x2 + 8
Answer:
x2 + 8
Step-by-step explanation:
The value of the composite function (f - g)(x) is x² + 8.
The correct option is D.
What is a composite function?Any function that is created by combining two or more other functions is referred to as a composite function. To put it another way, given two functions, f, and g, the composite function of f and g, denoted as f(g(x)), is a new function that applies g to the input x before applying f to the output of g (x).
Given:
f(x) = 2x² + 1 and g(x) = x² - 7.
To find (f – g)(x), we need to subtract g(x) from f(x):
(f - g)(x) = f(x) - g(x)
where f(x) = 2x² + 1 and g(x) = x² - 7.
Substituting these expressions into the equation, we get:
(f - g)(x) = (2x² + 1) - (x² - 7)
Simplifying the expression on the right-hand side by distributing the negative sign, we get:
(f - g)(x) = 2x² + 1 - x² - 7)
Combining like terms, we get:
(f - g)(x) = x² + 8.
Therefore, (f - g)(x) = x² + 8.
To learn more about the composite function;
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What is the least common denominator for the fractions 1/2 and 3/8
Answer:
LCD = 8
Step-by-step explanation:
All you have to do is times both the denominator and numerator of 1/2 by 4.
So 1 times 4 = 4 and 2 times 4 is 8.
4/8 and 3/8
WILL GIVE BRAINLEST
Slove f(9) if f(x)= -6x - 1
Show Step-by-Step pls.
Answer:
Use the given functions to set up and simplify −by−Step.
f(9)=−55
Re-order terms so constants are on the left
⋅9=−55
f⋅9=−55
9=−55
Divide both sides of the equation by the same term
Simplify
Solution
=−55/9
If U.S. $1 = 7.82 Hong Kong dollars, what is the value of 25 Hong Kong dollars in U.S. dollars?
Answer:
3.25
Step-by-step explanation:
1 hong kong dollar = 0.13 cents in us dollars
0.13x25=3.25
The value of 25 Hong Kong dollars in U.S dollar is $3.1969
Given that :
$1 = 7.82 Hong Kong dollars
Let the equivalent Number of U.S dollars = p
This means that :
$1 = 7.82 Hong Kong dollars
$1 = 7.82 Hong Kong dollars $p = 25
Cross multiply :
25 × 1 = 7.82 × p
25 = 7.82p
Divide both sides by 7.82
25 / 7.82 = p
p = $3.1969
Hence, 25 Hong Kong dollars is 3.1969 U.S dollars.
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If sin(t) = 3/5 and t is in the 2nd quadrant, find cos(t).
Cosine is [tex]\frac{hypotenuse}{adjacent}[/tex].
Apply the equation:
[tex]sin(t) = \frac{3}{5} \\3^2 + b^2 = 5^2\\b^2 = 5^2 - 3^2\\\\\sqrt{b^2} = \sqrt{5^2}- \sqrt{3^2}\\\\\\b = 5 - 3 \\\\b = 2[/tex]
B is the adjacent side so
cosine is:
Cos(t) = 5/2
Have a great day,
And I hope this helps you!
In exercises 1-2, solve the formula for the indicated variable.
1: Surface area of a cylinder: S=2πr^2+2πrh: Solve for h.
2: Area of a trapezoid: A=1/2h(b1 + b2); Solve for b2.
The 1 and 2 are supposed to be under to the side of b like this.
Answer:
area of a trapezoid A =1Step-by-step explanation:
2
PLS Help I Need this by today :)
Simplify the expression -11 -(-12)
Answer:
1
Step-by-step explanation:
-11-(-12) is just -11 plus 12 so 1 is your final answer because 2 negatives make a positive when multiplying.
Answer:
1
Step-by-step explanation:
There are 6 times as many dogs as cats . If the total number of dogs and cats is 21 , how many dogs are there?
Answer:
126 cats .................
126 dogs........
