Step-by-step explanation:
S = v/t
(x+2)km/h
((x+2)×1000)/(60×60) = (15×1000)/(60×60)
(5(x+2)/18) = 25/6
30(x+2) = 18×25
x+2 = 15
x = 13m/s
Michael makes an annual gross salary of $120,500. He pays 33% in taxes annually. What is his annual net pay?
Answer: $80,735
=======================================================
Work Shown:
33% = 33/100 = 0.33
33% of 120,500 = 0.33*(120,500) = 39,765
Michael pays $39,765 in taxes
This makes his net pay to be 120,500-39,765 = 80,735 dollars.
------------
A shortcut is to compute
0.67*(120,500) = 80,735
The 0.67 refers to the fact that if he pays 33% of his gross income, then he keeps the remaining 100% - 33% = 67% of it.
How many mg of erythromycin should a 45lb child receive base on the adult dose of 250 mg qid
Compare your estimate to the exact quotient. Does your quotient seem reasonable? Explain your answer. 9 1/3 ÷ 2 3/4
Answer:
(9(3)+1)/3÷(2(4)+3)/4
28/3÷11/4
28/3×4/11
112/33
3.393
At the start of the year, the balance in a married couple's account is $1,750. They decide to each deposit $35 into the account each month.
Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions. If a substance has a pH of 6, which equation could be used to find its H value?
Answer:
[H^+] = Antilog[-6]
Step-by-step explanation:
Even though the question is incomplete, let us try to correctly derive the equation used to find the hydrogen ion concentration.
pH=−log[logH^+]
-pH = log[H^+]
[H^+] = Antilog[-pH]
Since pH =6
The equation is;
[H^+] = Antilog[-6]
Answer:
logH=−6
Step-by-step explanation:
Substituting the given value into the formula: 6=−logH; −6=logH; 10−6=H; H=0.000001. The equation logH=−6 is a step in the process of finding the H value.
Which system of linear inequalities is graphed below?
Answer:
y > 2x - 1
y ≤ 0.5x + 4
Step-by-step explanation:
solid line: (0,4) (-8,0)
m: (0-4)/(-8-0) = -4/-8 = 0.5
b: 4
y = mx + b y = 0.5x + 4
dotted line: (0,-1) (-2,-5)
m = (-5 - -1)/(-2-0) = 2
b = -1
equation: y = 2x - 1
System: y ≤ 0.5x + 4
y > 2x - 1
roger bought 8 small bricks for his garden for $5.46. the total weight of the bricks was 6 1/4 pounds how many pounds does one brick weigh
Answer:
0.78125 pounds
Step-by-step explanation:
the weight of 8 brick is 6.25 pound
divide the weight by 8 to take the weight for the one brick
Please explain how to solve it
Answer: [tex]\frac{8x^3}{27y^6}[/tex]
This is the fraction 8x^3 all over 27y^6
On a keyboard, we can write it as (8x^3)/(27y^6)
===========================================================
Explanation:
The exponent tells you how many copies of the base to multiply with itself.
We'll have three copies of [tex]\left(\frac{2x}{3y^2}\right)[/tex] multiplied with itself due to the cube exponent on the outside.
So,
[tex]\left(\frac{2x}{3y^2}\right)^3 = \left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2x*2x*2x}{(3y^2)*(3y^2)*(3y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{(2*2*2)*(x*x*x)}{(3*3*3)*(y^2*y^2*y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{9y^6}\\\\[/tex]
-------------------
Or another approach you could take is to cube each component of the fraction. The rule I'm referring to is [tex]\left(\frac{a}{b}\right)^c = \frac{a^c}{b^c}[/tex]
Applying that rule will lead to:
[tex]\left(\frac{2x}{3y^2}\right)^3 = \frac{(2x)^3}{(3y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2^3*x^3}{3^3*(y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^{2*3}}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^6}\\\\[/tex]
Either way you should get 8x^3 all over 27y^6 as one fraction.
Find the constant of variation when y=6 varies directly with x=3
Answer:
The constant of variation is 2
Step-by-step explanation:
The equation of the direct variation is y = k x, where k is the constant of variation
Let us solve the question
∵ x and y are in the direct variation
→ Use the form of the equation above
∴ The equation of variation is y = k x
∵ x = 3
∵ y = 6
→ Substitute them in the equation above
∴ 6 = k (3)
∴ 6 = 3k
→ To find k divide both sides by 3
∵ [tex]\frac{6}{3}[/tex] = [tex]\frac{3k}{3}[/tex]
∴ 2 = k
∵ k is the constant of variation
∴ The constant of variation is 2
work out 16^2 - 17 divided by square root of 2.3 + 5.87
Answer:
32.35599681
Step-by-step explanation:
Ruffles Boutique brought a leather jacket from a wholesale distributor for $140. The story markup on this item is 220%. What is the selling price for the jacket?
Sell price = purchase price x Mark up
Sell price = 140 x 220%
Sell price = 140 x 2.2 = 308
Sell price = $308
Which is the best description for the graph?
A graph decreases through (0, 0) and then increases.
The graph is increasing everywhere.
The graph is decreasing everywhere.
The graph is increasing, then decreasing.
The graph is decreasing, then increasing
Answer
d
Step-by-step explanation:
I already know and i did the test
Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 10 and the 4 digits make a number divisible by 2.
How many different sets of 4 digits could it be?
Answer:
800 different sets of digits
In above problem, what does 3 stand for?
Answer:
there is no problem
Step-by-step explanation:
please explain how i would figure out where to place it
Answer:
i cant see it wdym
Step-by-step explanation:
NEED ANSWERS QUICK! Will give brainliest!!!
Answer:
249x + 1y = 250
Step-by-step explanation:
Answer:
5x + 2y = 250 pencils
Step-by-step explanation:
5 represents the amount in each small box.
2 represents the amount in each large box.
Therefore once you multiply by 5 and x, then multiply by 2 and y you should get the total amount of pencils for the pencils in small boxes and the amount for large sepretally. Then you'd add both of the digits to get the total pencils in all
Answer number 4 for slope puzzle
22. What is the slope of this line?
y = 3x + 8
(provide and explanation)
Answer:
The slope is 3
Step-by-step explanation:
Y = mx + b
In this formula, mx means the slope so there is no math needed to be worked out.
Answer:
3
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept.
Which Graph Shows a Linear Function?!!
Answer:
bottom left
Step-by-step explanation:
...............
Answer:
B
Step-by-step explanation:
What is the solution to the system below?
x + 3y = 0
2x - y = -7
( x, y ) = ( -3, 1 )
hope it helps!
What is the value of 0.2
Answer:
value of 0.2 in fraction is 1/5
What is the length of each leg of the triangle below?
45
26
90"
45
O A. 1
OB. 13
O C. 13
O D. 18
O E. 26
O F. 135
Answer:
Step-by-step explanation:
SOH CAH TOA
Cos(Ф) =Adj / Hyp
26*Cos(45) = Adj
26*[tex]\frac{\sqrt{2} }{2}[/tex] = Adj
13[tex]\sqrt{2}[/tex] = Adj... and also it's the same for the other leg
sin and cos of 45° are the same
Answer:
13/ 2 squared which is b
Step-by-step explanation:
times 13 by 2 you get 26
Which of the following are polynomials?
A. x^2 + x + 1/x^2 + 1
B. 2/x^3 + x + 1/2
C. 2/3x^2 + x + 1
D. x^2/3 + 0x + 1
E. x^3 + 2x + square root of 2
Answer:
The polynomials are:
[tex]\frac{2}{3}[/tex] x² + x + 1 ⇒ C
x³ + 2x +√2 ⇒ E
Step-by-step explanation:
A polynomial: is an expression consisting of variables and coefficients, with the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables
A polynomial never division by a variableA polynomial could be one term, and it could be just a constantLet us solve the question
∵ The polynomial never division by a variable
∵ Answer A and B have a division in variable ⇒ ( [tex]\frac{1}{x^{2}+1 }[/tex] , [tex]\frac{2}{x^{3}}[/tex] )
∴ Answers A and B are not polynomials
∵ The polynomial has integer exponents of variables
∵ Answer D has a fraction exponent of x ⇒ [tex]x^{\frac{2}{3}}[/tex]
∴ Answer D is not a polynomial
∵ [tex]\frac{2}{3}[/tex] x² + x + 1 has a non-negative integer exponent of x
∵ There is no division by x
∴ [tex]\frac{2}{3}[/tex] x² + x + 1 is a polynomial
∵ x³ + 2x +√2 has a non-negative integer exponent of x
∵ There is no division by x
∴ x³ + 2x +√2 is a polynomial
∴ The polynomials are [tex]\frac{2}{3}[/tex] x² + x + 1 and x³ + 2x +√2
Answer:
Step-by-step explanation:
A kid’s bicycle costs $110.00 at a department store, who is offering a 15% off coupon. Determine the final price of the bike after both the discount and 6.25% sales tax.
Answer:
103.125
Step-by-step explanation:
110.00 times 15% = 16.5
16.5 times 6.25% = 103.125
Answer - 103.125
Answer:
With the coupon and sales tax, the bicycle costs $100.38.
Step-by-step explanation:
First, we need to find 6.25% of $110.
110 x 0.0625 = 6.88
Now, let's add this to the total, or $110.
110 + 6.88 = $116.88
After that, we need to find 15% of this total.
116.88 x 0.15 = 17.53
Now, we need to subtract this from the total, which is now $116.88.
116.88 - 16.5 = $100.38
Now, with the coupon and sales tax, the bicycle costs $100.38.
Hope this helps! :D
Describe the slope of the line. (-3,1) and (2,-2) The slope is _____, find the slope m=?
Answer:
[tex]m = - \frac{3}{5}[/tex]
Step-by-step explanation:
The slope of the line is -3/5 which line passes through points (-3,1) and (2,-2).
What is the slope of the line?The slope of the line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2.
Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Given,
The line passes through the points (-3,1) and (2,-2)
We have,
x₁ = -3, y₁ = 1
x₂ = 2, y₂ = -2
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute the above values in the formula, and we get
The slope of the line = (-2 - 1) / (2 - (-3))
The slope of the line = (-2 - 1) / (2 +3)
The slope of the line = -3/5
Thus, the slope of the line is -3/5 which line passes through points (-3,1) and (2,-2).
To learn more about the slope of the line click here:
brainly.com/question/14511992
#SPJ2
After spending some time looking for his pump, Cesar pumps up an uninflated balloon, pumping air into it at a
constant rate. Before he finishes, the balloon gets loose from Cesar's hand and deflates rapidly.
Which graph could represent this scenario?
Answer: D
Step-by-step explanation: just took the test
Answer:
D
Step-by-step explanation:
Pls help with #14 and #15!!!Asap 15 points
Answer:
14. -g + 10, 15. 12k + 3
Step-by-step explanation:
I'm assuming you want to simplify the equation. For 14, we distribute -2. This gets us -2g + 10 + g. We can simplify that to -g + 10. We can't simplify that, so our answer is complete. For 15, we combine 8k and 4k to get 12k + 3. That can't be simplified, so we are done.
someone please help
9514 1404 393
Answer:
{0, 1, 2, 3}
Step-by-step explanation:
The domain is the set of function input values. Here, they are labeled x values. The set of the is {0, 1, 2, 3}.
The domain is {0, 1, 2, 3}.
What is sin 28°?
62
17
8
28
90°
15
Answer:
0.4695
Step-by-step explanation:
sin 28° = 0.4695
I don't understand your choices.
30 ⅓ % of 3 plz help me
Answer:
3 / 10 is the answer in fraction and 0.3 is the answer in decimal.
Step-by-step explanation:
hope this answer will help you
have a great time