Answer:
8
Step-by-step explanation:
160 divided by 20 hours = 8.
David has a 8 hourly wage.
Your answer would be $8. 20hrs divided into $160=$8
Hope this helps....
David will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $65
and costs an additional $ 0.40
per mile driven. The second plan has no initial fee but costs $ 0.60
per mile driven. How many miles would David need to drive for the two plans to cost the same?
Answer:
325 miles
Step-by-step explanation:
65=0.20x
x=65/0.2
x=325 miles
Line p is parallel to the line x = -2. What is the slope of line p?
a) positive
b) negative
c) undefined
d) 0
x = -2 - it's a vertical line with undefined slope.
The line parallel to the vertical line is vertical.
Therefore your answer is c) undefined.Casey buys a bracelet. She pays for the bracelet and pays \$0.72$0.72 in sales tax. The sales tax rate is 6\%6%. What is the original price of the bracelet, before tax?
Answer:
The original price of the bracelet before tax is $12.
Step-by-step explanation:
Let us assume that the original price of the bracelet be x.
As given
Casey buys a bracelet.
She pays for the bracelet and pays $0.72 in sales tax .
The sales tax rate is 6% .
6% is written in the decimal form.
[tex]= \frac{6}{100}[/tex]
= 0.06
Than the equation becomes
x × 0.06 = 0.72
0.06x = 0.72
[tex]x = \frac{0.72}{0.06}[/tex]
x = $12
Therefore the original price of the bracelet before tax is $12.
Todd simplifies the radius of pond A this way:
5√(164 ) meters
Step 1: 5(√100+√64)
Step 2: 5(10+8)
Step 3: 5(18)
Step 4: 90
One of Todd’s steps is incorrect. Identify which step is incorrect; and rewrite the step so it is correct.
Levi needs to write 263,000,700,000 in scientific notation. He says that the exponent in the second factor is negative. Is Levi's reasoning correct? Use the drop-down menus to explain your answer. The exponent would be blank because the number Levi wrote in scientific notation is blank one.
Answer : No, levi's reasoning is incorrect. The correct answer is, [tex]2.63\times 10^{11}[/tex]
Step-by-step explanation :
Scientific notation : It is the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power. The numerical digit lies between 0.1.... to 9.9.....
For example :
5000 is written as [tex]5.0\times 10^3[/tex]
889.9 is written as [tex]8.899\times 10^{-2}[/tex]
In this examples, 5000 and 889.9 are written in the standard notation and [tex]5.0\times 10^3[/tex] and [tex]8.899\times 10^{-2}[/tex] are written in the scientific notation.
If the decimal is shifting to right side, the power of 10 is negative and if the decimal is shifting to left side, the power of 10 is positive.
As we are given the 263,000,700,000 in standard notation.
Now converting this into scientific notation, we get:
[tex]\Rightarrow 263,000,700,000=2.63\times 10^{11}[/tex]
As, the decimal point is shifting to left side, thus the power of 10 is positive.
Hence, the correct answer is, [tex]2.63\times 10^{11}[/tex]
Answer:
No. He answered incorrectly. The correct scientific notation of the number will be [tex]2.630007\times10^{11}[/tex].
Step-by-step explanation:
Levi wants to write 263,000,700,000 in the scientific notation.
In scientific notation, the number is represented by a numerical value between 1 and 9.99...., multiplied by power of 10.
The given number can be written as,
[tex]263,000,700,000=2.630007\times100,000,000,000\\263,000,700,000=2.630007\times10^{11}[/tex]
Thus, in scientific notation, the given number can be written as [tex]2.630007\times10^{11}[/tex].
Here, the numerical value is 2.630007 and power of 10 is [tex]10^{11}[/tex].
Now, the power of 10 is 11 which is positive. So, Levi has answered incorrectly.
For more details, refer the link:
https://brainly.com/question/1705769?referrer=searchResults
In a bag of marbles 12% were red and 14% were blue,and the rst were white.If there were 250 marbles, how many were red and blue?
Answer:
65
Step-by-step explanation:
Hi,
I think you mean red or blue.
Number which are red or blue = 12 + 14
= 26% or 0.26
The number of red and blue = 0.26 * 250
= 65 marbles
Molly can drive her car 112 miles on 4 gallons of gas and 182 miles on 6.5 gallons write an equation that represented between g the number of gallons she has in her car and m the number of miles she can drive then use the equation to find how many gallons she would need to drive 420 miles
Answer:
Step-by-step explanation:
A music store marks up the instument it sells by 30%. If the store boughta guitar for $45, what will be its store price
Answer:
The store will sell it for $58.50
Step-by-step explanation:
To find this amount, start by multiplying the cost by the mark up percentage.
$45 * 30% = $13.50
Now that we have the markup amount, we can add it to the original cost to get the store price.
$45.00 + $13.50 = $58.50
Christine baked a pumpkin pie she ate 1/6of the pie. Her brother ate 1/3 of it and gave leftovers to his friends. What fraction of the pie did he give to his friends
Answer:
[tex]\frac{1}{2}[/tex] of the pie.
Step-by-step explanation:
We have been given that Christine baked a pumpkin pie. She ate 1/6 of the pie. Her brother ate 1/3 of it and gave leftovers to his friends.
Let us find out pie given to friends by subtracting amount of pie eaten by Christine and her brother from 1 pie, that will be 6/6.
[tex]\text{The pie given to friends}=\frac{6}{6}-(\frac{1}{6}+\frac{1}{3})[/tex]
[tex]\text{The pie given to friends}=\frac{6}{6}-(\frac{1}{6}+\frac{2*1}{2*3})[/tex]
[tex]\text{The pie given to friends}=\frac{6}{6}-(\frac{1}{6}+\frac{2}{6})[/tex]
[tex]\text{The pie given to friends}=\frac{6}{6}-\frac{3}{6}[/tex]
[tex]\text{The pie given to friends}=\frac{6-3}{6}[/tex]
[tex]\text{The pie given to friends}=\frac{3}{6}[/tex]
[tex]\text{The pie given to friends}=\frac{1}{2}[/tex]
Therefore, he gave [tex]\frac{1}{2}[/tex] of the pie to his friends.
Solve for u, z, y, and t:
A;
y/a-b=y/b-a, if a≠b (/ means fractions)
B;
t+ b^2/a=bt/a +a, if a≠b
[tex]A.\\\\\dfrac{y}{a}-b=\dfrac{y}{b}-a\qquad\text{multiply both sides by }\ ab\neq0\\\\by-ab^2=ay-a^2b\qquad\text{add}\ ab^2\ \text{to both sides}\\\\by=ay+ab^2-a^2b\qquad\text{subtract}\ ay\ \text{from both sides}\\\\by-ay=ab^2-a^2b\qquad\text{distributive}\\\\(b-a)y=ab^2-a^2b\qquad\text{divide both sides by}\ (b-a)\\\\\boxed{y=\dfrac{ab^2-a^2b}{b-a}}\to y=\dfrac{ab(b-a)}{b-a}\to\boxed{y=ab}[/tex]
[tex]B.\\t+\dfrac{b^2}{a}=\dfrac{bt}{a}+a\qquad\text{multiply both sides by}\ a\neq0\\\\at+b^2=bt+a^2\qquad\text{subtract}\ b^2\ \text{from both sides}\\\\at=bt+a^2-b^2\qquad\text{subtract}\ bt\ \text{from both sides}\\\\at-bt=a^2-b^2\qquad\text{distributive}\\\\(a-b)t=a^2-b^2\qquad\text{divide both sides by}\ (a-b)\neq0\\\\\boxed{t=\dfrac{a^2-b^2}{a-b}}\to t=\dfrac{(a-b)(a+b)}{a-b}\to\boxed{t=a+b}[/tex]
Answer:
Where are y and t?
Step-by-step explanation:
For all values of x, y, and z, which expression is equivalent to 4x + 4y + 4z? A) 4(x + y + z) B) 4y(x + z) C) 4(x + 4y + 4z) D) 12xyz
Answer:
a
Step-by-step explanation:
In △ RTV , X is the centroid and RU = 18. Find RX and XU. Enter your answers as numbers.
Answer:
RX = 12 and XU = 6
Step-by-step explanation:
Given : In ΔTRV , TW ,RU and VS are the medians .
X is the centroid
To Find : RX and XU
Solution:
Since we know that the centroid divides each median in a ratio of 2:1.
Since X is the centroid so RX : XU = 2:1
So, let RX = 2x and XU = x
And we are given that RU = 18
⇒RX +XU=18
⇒2x+x=18
⇒3x=18
⇒[tex]x=\frac{18}{3}[/tex]
⇒[tex]x=6[/tex]
Thus, RX = 2x = 2*6 =12
XU = x =6
Hence length of RX = 12 and XU = 6
What is the solution to the rational equation (x/x^2-9)-1/x+3=1/4x-12
The scale of a map says that 4cm represents 5km. What distance on the map in centimeters represents an actual distance of 10km
Answer:
8 cm
Step-by-step explanation:
We can use ratio's to solve this problem
4 cm = 5 km
We need to know how many cm = 10 km
4 cm x cm
---------- = --------------
5 km 10 km
Using cross products
4* 10 = 5* x
40 = 5x
Divide each side by 5
40/5 = 5x/5
8=x
On the map it is 8 cm.
Help with these questions please!!
Answer:
(1)
option-B
(2)
f(x) is continuous at a=4
Step-by-step explanation:
(1)
we are given
[tex]\lim_{x \to 0} \frac{sin(2x)}{x}[/tex]
Since, we are suppose to find limit x-->0
so, we always choose value of x that is close to 0
At x=-0.03:
[tex]\frac{sin(2\times (-0.03))}{(-0.03)}=1.99880[/tex]
At x=-0.02:
[tex]\frac{sin(2\times (-0.02))}{(-0.02)}=1.99947[/tex]
At x=-0.01:
[tex]\frac{sin(2\times (-0.01))}{(-0.01)}=1.99987[/tex]
At x=0.01:
[tex]\frac{sin(2\times (0.01))}{(0.01)}=1.99987[/tex]
At x=0.02:
[tex]\frac{sin(2\times (0.02))}{(0.02)}=1.99947[/tex]
At x=0.03:
[tex]\frac{sin(2\times (0.03))}{(0.03)}=1.99880[/tex]
(2)
we are given
[tex]f(x)=\frac{x-4}{x+5}[/tex]
Since, we have to check continuity at a=4
So, firstly we will find limit value and then functional value
Limit value:
[tex]\lim_{x \to a} f(x)=\lim_{x \to a}\frac{x-4}{x+5}[/tex]
now, we can plug a=4
[tex]\lim_{x \to 4} f(x)=\lim_{x \to 4}\frac{4-4}{4+5}[/tex]
[tex]\lim_{x \to 4} f(x)=0[/tex]
Functional value:
We can plug x=4 into f(x)
[tex]f(4)=\frac{4-4}{4+5}[/tex]
[tex]f(4)=0[/tex]
So, we can see that
[tex]\lim_{x \to 4} f(x)=f(4)=0[/tex]
So, limit value is equal to function value
so, f(x) is continuous at a=4.............Answer
Given:
p: The bib is a bub.
q: The bub is a bub.
Which of the following is logically equivalent to /?
If the bib is a bub, then the bub is a bab.
If the bub is not a bab, then the bib is not a bub.
If the bib is not a bub, then the bub is not a bab.
If the bib is a bub, then the bub is not a bab.
Answer: (A) If it is a bib, then it is a bab
Step-by-step explanation:
p: The bib is a bub.
Rewrite it as: If it is a bib, then it is a bub.
hypothesis: It is a bibconclusion: It is a bubq: The bub is a bab.
Rewrite it as: If it is a bub, then it is a bab
hypothesis: It is a bubconclusion: It is a babThe conclusion of p equals the hypothesis of q so the Law of Syllogism can be applied --> hypothesis of p → conclusion of q
Tom has a large photo he wants to shrink to wallet size.it's width 20centimeters and it's length is 30 centimeters. if he wants the width to be 5 centimeters what should the length be
Please help on this one ?
The Synthetic Division form of Given Division Problem is :
✿ [tex]-5\;\arrowvert\overline{\;4\;\;\;\;\;-13\;\;\;\;\;\;8}[/tex]
Option C is the Answer
In synthetic division for [tex]\( \frac{4x^2 - 13x + 8}{x + 5} \)[/tex], option C (-5 | 4 -13 8) correctly represents the coefficients, showcasing the division process with a remainder of 8.
The synthetic division problem given is [tex]\( \frac{4x^2 - 13x + 8}{x + 5} \)[/tex]. Synthetic division is a method used to divide polynomials, particularly when dividing by a linear factor of the form (x - c) . The correct representation in synthetic division form would be:
**C. -------------
- 5 | 4 - 13 8**
Here's the breakdown of the synthetic division:
1. The divisor x + 5 corresponds to c = -5, so the root is x = -5.
2. Write down the coefficients of the dividend 4x^2 - 13x + 8 in the synthetic division box.
3. Bring down the leading coefficient, which is 4 in this case.
4. Multiply the root (-5) by the leading coefficient (4) and write the result below the second column. Add the result to the second column.
5. Multiply the root by the result from step 4 and write the result below the third column. Add the result to the third column.
The final result in the bottom row represents the coefficients of the quotient, and the last number (8) is the remainder. The synthetic division in option C accurately reflects this process.
The probability of rolling a sum of 7 when rolling two dice simultaneously is 0.167. You decide to test that probability by rolling the dice 12 times. What is the probability that exactly 2 of the rolls is a sum of 7?
Answer:
The probability that exactly 2 of the rolls is a sum of 7 will is 0.296
Step-by-step explanation:
The probability of rolling a sum of 7 when rolling two dice simultaneously is 0.167.
Let us assume that, A be the event that the sum is 7. So,
[tex]P(A)=0.167[/tex]
Binomial probability represents the probability that a binomial experiment results (i.e either success or failure or only two results) in exactly x successes.
[tex]b(x;\ n, p) =\ ^nC_x \cdot p^x \cdot (1-p)^{n - x}[/tex]
So the probability that exactly 2 of the rolls is a sum of 7 will be,
[tex]P(2) =\ ^{12}C_2 \cdot (0.167)^2 \cdot (1-0.167)^{12 - 2}[/tex]
[tex]=\ ^{12}C_2 \cdot (0.167)^2 \cdot (0.833)^{10}[/tex]
[tex]=66 \cdot (0.167)^2 \cdot (0.833)^{10}[/tex]
[tex]=0.296[/tex]
9+10=x
x=?
--17
--18
--19
--7,000,674,830
Answer:
19
Step-by-step explanation:
19-10=9
Can you find the third angle measure in a triangle if you know the other 2 angle measures?
Mean starting salary was $93,000, with a standard deviation of $17,000. What is the 95% confidence interval for the average starting salary among all Harbor graduates?
Answer:
1
Step-by-step explanation:
Calculate the area of trapezium CDEF.
We are given the two bases of the trapezium:
[tex] ED = 5,\qquad AB = 9 [/tex]
The formula for the area of the trapezium is
[tex] A = \dfrac{(B+b)h}{2} [/tex]
So, we only need to figure out the length of the height EF.
We know that FA+EF = 11. Also, we're given that the perimeter of ABCF is 28, which means
[tex] 2AB+2FA = 28 \iff 2\cdot 9 + 2FA = 28 \iff 2FA = 10 \iff FA = 5 [/tex]
So, we can deduce
[tex] EF = 11-FA = 11-5=6 [/tex]
And so we're ready to use the solving formula:
[tex] A = \dfrac{(5+9)\cdot 6}{2} = \dfrac{14\cdot 6}{2} = 7\cdot 6 = 42 [/tex]
What is the trigonometric ratio for cosC ?
Answer:
cos C = 9/41
Step-by-step explanation:
cos C = adjacent side/ hypotenuse
cos C = 9/41
Answer:
cos C = 9/41
Step-by-step explanation:
The given triangle is right angle triangle.
Cos C = Adjacent/Hypotenuse
Here, Adjacent = 9 and Hypotenuse = 41
cos C = 9/41
Thank you.
Year - Gas Price
2005 - $2.32
2006 - $2.63
2007 - $2.85
2008 - $3.32
2009 - $2.40
2010 - $2.84
2011 - $3.58
2012 - $3.70
2013 - $3.58
2014 - $3.43
2015 - $2.51
c. What equation models the data? What are the domain and range of the equation? Explain how you determined your answers.
d. Is there a trend in the data? Does there seem to be a positive correlation, a negative correlation, or neither?
How much do you expect gas to cost in 2020? Explain.
Answer:The years vary
Step-by-step explanation:
If you are them all and divide, it could solve your equation.
I hoped I helped :)
does the system have one solution, no solution, or infinitely many? Use your substitution to justify your answer
x+2y= -10
-x+2y= -2
Answer: It has one solution. The solution is (x,y) = (-4,-3)
Add up the equations doing so straight down
x + -x = 0x = 0 so the x terms go away
2y + 2y = 4y
-10 + (-2) = -12
We end up with 4y = -12 so y = -3 after you divide both sides by 4. Use this y value to find the value of x
x+2y = -10
x + 2(-3) = -10
x - 6 = -10
x = -10+6
x = -4
The single solution is (x,y) = (-4,-3)
As a check, plug this solution into each equation to see if you get a true statement or not. Let's do so with the first equation
x+2y = -10
-4 + 2(-3) = -10
-4 - 6 = -10
-10 = -10 .... true
and then the second equation
-x+2y = -2
-(-4) + 2(-3) = -2
4 - 6 = -2
-2 = -2 .... true
both equations are true, so the solution is confirmed
what is the mass of an object that has a density of 0.7 g/cm3 and a volume of 8cm3? (the density of an object has the equation d=m/v)
A.7.3g
B.5.6G
C.0.18G
D.11.4G
Answer:
B.5.6g
Step-by-step explanation: Density of object=mass/volume
Therefore, Mass=density of object X volume
=0.7 X 8
=5.6g
Answer:
Mass of an object is:
B. 5.6 g
Step-by-step explanation:
Mass of an object= Density × Volume
An object that has a density of 0.7 g/cm³
and a volume of 8 cm³
Mass= 0.7 g/cm³ × 8 cm³
= 5.6 g
Hence, Correct option is:
B. 5.6 g
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
Solve the equation.
Answer:
Alternative C
Step-by-step explanation:
x² + 10x + 24 = 0
∆ = 10² - 4.1.24
∆ = 100 - 96
∆ = 4
[tex]x' = \frac{- 10 + 2}{2} \\\\\ x' = - 4 \\\ x" = \frac{- 10 - 2}{2} \\\\\ x" = - 6[/tex]
I hope I helped you.
Answer: C
Step-by-step explanation:
x² + 10x + 24 = 0
∧
1 + 24 = 25
2 + 12 = 14
3 + 8 = 11
4 + 6 = 10 ← THIS WORKS!
(x + 4)(x + 6) = 0
x + 4 = 0 x + 6 = 0
x = -4 x = -6
A bag contains 10 red marbles, 7 green marbles. and 8 striped marbles. A marble is picked, then put back into bag. Find P(green and striped).
G = number of green = 7
S = number of striped = 8
T = number total = 10+7+8 = 25
probability of picking green = P(G) = G/T = 7/25
probability of picking striped = P(S) = S/T = 8/25
P(green and striped) = P(G)*P(S) ... events are independent
P(green and striped) = (7/25)*(8/25)
P(green and striped) = (7*8)/(25*25)
P(green and striped) = 56/625
P(green and striped) = 0.0896
--------------------------------
In summary, the answer as a fraction is 56/625
In decimal form, the answer is 0.0896
The value 0.0896 can be converted to percent form to get 8.96%
Final answer:
The probability of picking a green marble and then a striped marble from a bag with replacement is the product of the probability of picking a green marble (7/25) and a striped marble (8/25), which is 56/625.
Explanation:
The student is asking about the probability of selecting a green marble followed by a striped marble when drawing from a bag that contains red, green, and striped marbles with replacement. To calculate this probability, we will use the basic principle that the probability of two independent events happening in sequence is the product of their individual probabilities.
First, we determine the probability of choosing a green marble, which we'll call P(G). Since the bag contains 7 green marbles out of a total of 25 (10 + 7 + 8), the probability P(G) is 7/25. Next, since the marble is replaced, the probability of choosing a striped marble, P(S), remains the same at 8/25. Therefore, the probability of choosing a green marble and then a striped marble is P(G and S) = P(G) x P(S) = (7/25) x (8/25).
To find the combined probability, simply multiply the two individual probabilities:
P(G and S) = (7/25) x (8/25) = 56/625.
The probability of drawing a green and then a striped marble is 56/625.
The equation of a parabola is given. y=1/2 x 2+6x+24 What is the equation of the directrix of the parabola? Enter your answer in the box. will report if u give some random answer just to get points
Answer: y = 5.5
Step-by-step explanation:
[tex]y=\dfrac{1}{2}x^2+6x+24[/tex]
Step 1: find the vertex
axis of symmetry: [tex]x = \dfrac{-b}{2a} = \dfrac{-6}{2(\frac{1}{2})} =\dfrac{-6}{1} = -6[/tex]
y-coordinate of vertex: [tex]y=\dfrac{1}{2}(-6)^2+6(-6)+24[/tex]
= 18 - 36 + 24
= 6
Vertex: (-6, 6)
Step 2: find p (the distance from the vertex to the focus): [tex]\dfrac{1}{4p} =a[/tex]
[tex]\dfrac{1}{4p} =\dfrac{1}{2}[/tex]
cross multiply to get: 2 = 4p
divide both sides by 4 to get: [tex]p =\dfrac{1}{2}[/tex]
Step 3: find the directrix
Since the parabola opens up, the focus will be above the vertex.
focus: (-6, 6 + [tex]\dfrac{1}{2}[/tex]) = (-6, 6.5)
and the directrix will be below the vertex.
directrix: y = 6 - [tex]\dfrac{1}{2}[/tex] ⇒ y = 5.5
The directrix also gets shiftd toward right. Then the equation of the directrix of the parabola will be y = 11/2.
What is the parabola?The equation of a parabola function is given as,
y² = 4ax
x² = 4ay
Where a is the coordinate of the focus.
The equation of a parabola is given.
y = (1/2) x² + 6x + 24
Simplify the equation, we have
2y = x² + 12x + 48
2y = x² + 12x + 36 + 12
2y = (x + 6)² + 12
Then the equation can be written as,
4(1/2)y = (x + 6)² + 12
Compare with standard equation, we have
a = (-1/2, 0)
The parabola is gets shifted toward right.
Then the directrix also gets shiftd toward right.
Then the equation the directrix will be
y = -1/2 + 6
y = 11/2
More about the parabola link is given below.
https://brainly.com/question/8495504
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