Julio's normal hourly rate (r) is equal to $11.8 per hour.
Let the normal hourly rate be r.Translating the word problem into an algebraic expression, we have;
Since Julio worked for 35 hours, it simply means that he was paid r amount of dollars per hour for a period of 30 hours;[tex]30r[/tex] ......equation 1
Also, for the remaining number of hours (35 - 30), he was paid he was paid 1.4r amount of dollars per hour;[tex](35 - 30)[/tex] × [tex]1.4r[/tex] [tex]= 5[/tex] × [tex]1.4r[/tex]
[tex]5[/tex] × [tex]1.4r = 7r[/tex] .....equation 2
Next, we would equate the expressions to the total amount of money earned by adding eqn 1 and eqn 2.
[tex]30r + 7r = 436.60\\\\37r = 436.60\\\\r = \frac{436.60}{37}[/tex]
Julio's normal hourly rate, r = $11.8 per hour.
Therefore, Julio's normal hourly rate (r) is equal to $11.8 per hour.
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A polynomial has one root that equals 2 + i. Name one other root of this
polynomial.
Answer:
sorry
Step-by-step explanation:
polynomial is not given
question is incomplete
Question 6(Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the
graph of y = f(x) with the graph of y = f(x) + 20?
The graph of y = f(x) will shift left 20 units.
The graph of y = f(x) will shift down 20 units.
The graph of y = f(x) will shift up 20 units.
The graph of y = f(x) will shift right 20 units.
Answer:
the graph will shift 20 units up
Find the mean.
20, 5, 45, 90, 60, 45, 30, 10, 20, 45, 15,25
Answer:
34.166
Step-by-step explanation:
Mean=(Sum of all the numbers)/12=410/12=34.166
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\bullet \large\textsf{ Finding the mean you have to add up all of your numbers \& divide it}\\\large\textsf{by the total numbers in your data plot}[/tex]
[tex]\mathsf{\dfrac{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}{12}}[/tex]
[tex]\mathsf{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}[/tex]
[tex]\mathsf{= 25 + 45 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 70 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 160 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 220 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 265 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 295 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 305 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 325 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 370 + 15 + 25}[/tex]
[tex]\mathsf{= 385 + 25}[/tex]
[tex]\mathsf{= \bf 410}[/tex]
[tex]\mathsf{= \dfrac{410}{12}}[/tex]
[tex]\mathsf{\dfrac{410}{12} \approx \bf 34.1667}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Thus, your ANSWER is: \boxed{\mathsf{ \bf \underline{{\star 34.1667\star}}}}}}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
draw a graph of 2x - 3y = 6
Answer:
Slope:[tex]\frac{2}{3}[/tex]
y-intercept:-2
Step-by-step explanation:
HELP! answer if you can !!
Answer:
The formula for ABC Triangle
(AB×AC)/2
= (4.7×2.4)/
= 11,28/2
= 5,64 in²
If you want to add or subtract fractions, what is the first thing you need to do?
Answer:
take lowest common factor
Step-by-step explanation:
Answer:
Find the least common denominator for both fractions and set up the fractions so they can both contain that same denominator.
Step-by-step explanation:
For example, let's say you want to add the fractions [tex]\frac{3}{4}[/tex] and [tex]\frac{2}{7}[/tex].
First, you will want to find the least common demoninator. Write out the multiples for both denominators originally given, in this case 4 and 7. Let's go up to 4*10 and 7*10:
4: 4,8,12,16,20,24,28,32,36,40
7: 7,14,21,28,35,42,49,56,63,70
Se which number in both sets is the first number to be the same in both sets. That will be your least common denominator. In this case, the least comon denominator is 28.
To set the fractions right, you would need to multiply the first fraction, 3/4, by 7/7: [tex]\frac{3}{4}*\frac{7}{7}=\frac{21}{28}[/tex]
Then, you would need to multiply the second fraction, 2/7, by 4/4: [tex]\frac{2}{7}*\frac{4}{4}=\frac{8}{28}[/tex]
Now, since both fractions have a common deonminator now, you can add them togther and simplify afterwards if you need to:
[tex]\frac{21}{28}+\frac{8}{28}=\frac{29}{28}=1\frac{1}{28}[/tex]
And that's it.
find the number whose 13% is 65.
Answer:
500
Step-by-step explanation:
A = the unknown number that we need to find
A x 13/100 = 65
=> A x 13 = 6500
=> A = 6500 / 13
=> A = 500
13% of 500 is 65.
Let's check whether the answer is correct or not.
=> 500 x 13/100
=> 5 x 13
=> 65.
So, the number whose 13% is 65 is 500
Answer:
Step-by-step explanation:
Let the number be x,
Then,
13% of x =65
Or, 13/100 of x =65
Or,x=6500/13
:.x=500
Question 6 of 10 The triangles shown below may not be congruent. 1) 25° 55° 100° 100° 66° 25° O A. True O B. False
Answer:
True, they may not be congruent
Step-by-step explanation:
A figure cannot be determined as congruent from three angles alone. In order for two shapes to be congruent, all corresponding parts must be congruent. This means all the sides and angles of the two shapes must be the same in order for the two shapes to be congruent. If we know all the angles are the same, the sides could still be different lengths, so this does not prove congruency.
The triangles shown below may not be congruent is True statement.
What is Congruency?Two geometric figures are said to be congruent, or to be in the relationship of congruence, if one can be superimposed on the other and they correspond throughout.
In both Triangle we can see that
2 Angles measures 25.
2 Angles measures 100.
and, 2 angles measures 55.
As, we know there no Congruence rule for AAA.
Thus, both triangles are not Congruent.
Learn more about Congruency here:
https://brainly.com/question/7888063
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Find the midpoint of the segment with the given endpoints.
(3,- 9) and (4, -8)
[tex]\boxed{\sf (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{3+4}{2},\dfrac{-9+8}{2}\right)[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{7}{2},\dfrac{-1}{2}\right)[/tex]
benifits of social media when reporting about gbv
Step-by-step explanation:
Coordinate referrals and advocate with partner organizations supporting GBV survivors to provide confidential services to clients, in accordance with their wishes, GBV guiding principles and informed consent.
If x-a is a factor of polynomial x3-mn2-2nax+na2 prove that a=m+n and a is not = 0
Step-by-step explanation:
hope this helps
pls mark me brainliest
What is the measure of DG?
Enter your answer in the box.
Answer:
Step-by-step explanation:
∠DHG is an inscribed angle. This angle, by definition, measures half the measure of its intercepted arc. The intercepted arc is arc DG, the one in question. This means that, by the rule, if the angle is 85 degrees, the arc is 2(85) = 170°
Answer:
it's actually 110, i took the test and got 170 wrong
Step-by-step explanation:
Please answer thanks!
Answer:
see explanation
Step-by-step explanation:
tan x = -1
[tex]x = tan^{-1}(-1)[/tex]
x = -45
tan x = 5
[tex]x = tan^{-1}(5)[/tex]
x = 78.69
Answer:
See below.
Step-by-step explanation:
So we want to find the solutions to the two equations:
[tex]\tan(x)=-1 \text{ and } \tan(x)=5[/tex]
I)
[tex]\tan(x)=-1\\x=\tan^{-1}(-1)[/tex]
Recall the unit circle. First, note that the number inside tangent is negative. Because of this, we can be certain that the x (in radians) must be in Quadrant II and/or IV (This is because of All Students Take Calculus, where All is positive in QI, only Sine is positive in Q2, only Tangent is positive in Q3, and only Cosine is positive in QIV. Tangent is negative so the only possible choice are QII and QIV).
From the unit circle, we can see that x=3π/4 is a possible candidate since tan(3π/4)=-1.
Since tangent repeats every π, 7π/4 must also be an answer (because 3π/4 + π = 7π/4). And, as expected, 7π/4 is indeed in QIV.
Therefore, for the first equation, the solutions are:
[tex]x=3\pi/4 \text{ and } 7\pi/4[/tex]
II)
For the second equation, there is no exact value for which tangent of an angle would be equal to 5. Thus, we need to approximate.
So:
[tex]\tan(x)=5\\x=\tan^{-1}(5)\\x=\tan^{-1}(5) \text{ and } \tan^{-1}(5)+\pi[/tex]
We got the second answer because, like previously, tangent repeats every π, so we only need to add π to get the second answer.
In approximations, this is:
[tex]x\approx1.3734 \text{ and } x\approx4.5150[/tex]
Note: All the answers are in radians.
p
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In the diagram, O is the centre of the circle. If PQII
RS and LONS = 140°, find the size of ZPOM.
ono
Answer:
where is the diagram
Can anyone please help?
Answer:
i don't know
( lol )
heheeeee
if it takes a half of a cup of oil to make 20 cookies how much oil is needed to make 5 cookies?? please help.
Answer:
We need 1/8 cup
Step-by-step explanation:
We can use ratios to solve
1/2 cup x cups
------------ = -----------------
20 cookies 5 cookies
Using cross products
5 * 1/2 = 20x
Divide each side by 20
5/2 * 1/20 = 20x/20
5/40 =x
1/8 =x
We need 1/8 cup
Answer:
Step-by-step explanation:
step 1: you know that 1/2 c of oil makes 20 cookies.
step 2: if you only have 1/4 c (half of 1/2 cup), then you can make 10 cookies.
Step 3: 1/8 c would make 5 cookies.
name four points that are not coplanar
Answer: U, W, Z and Y
Step-by-step explanation:
4 points are not coplanar if there does not exist any plane that contains the 4 points.
So, a plane is formed by a line and one point outside of it.
Then, we want to select the last point in such a way that it lies outside of the plane generated by the first 3 points selected.
For example:
If first we select Point U and Point W, we will have a line, as shown in the image.
Now we can select the Point Z, that is outside the line, and now we have the plane M that you can see in the image.
Now we need to select a point that is not in the plane, the only two options are Point X and Point Y, we can select any of those two, let's take the Point Y.
So, here we have that:
Points U, W, Z and Y are not coplanar.
which of the following best describes the effect of replacing the graph of y = f(x) with the graph of y= f(x) - 9? a. the graph of y = f(x) will shift up 9 units b. the graph of y = f(x) will shift down 9 units c. the graph of y = f(x) will shift left 9 units d. the graph of y = f(x) will shift right 9 units
Answer:
B
Step-by-step explanation:
If you were to have an equation y = x.
Then, x - 9 shifts it down 9.
If you were to have an equation y = 2x.
Then, 2x - 9 shifts it down 9.
Using this pattern, we deduce that f(x) - 9, shifts the graph down 9 units.
So, our answer is B>
Please tell me whats the number?
Answer:
5/6
Step-by-step explanation:
15/18
Divide the top and bottom by 3
15/3 = 5
18/3 = 6
5/6
I have simplified:)
To simplify, you have to divide the numerator & denominator by 3
BTW,I am also an Acellus student!:)
Easton is going to invest $340 and leave it in an account for 8 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for Easton to end up with $420?
Answer:
100.7%
Step-by-step explanation:
Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.
We can setup a formula using our period of time and the money he invested into the bank:
[tex]340(x)^{32}=420[/tex]
We can divide 340 from both sides, and simplify the right side to 21 divided by 17:
[tex]x^{32}=\frac{21}{17}[/tex]
Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.
What is the value of the expression below when y = 5? Show your work and write your answer in a complete sentence.
Y exponent 2-3y+6
Answer:
y=1
Step-by-step explanation:
5=2-3y+6
3y=2-5+6
3y= -3+6
3y= 3
3y÷3=3÷3
y=1
Answer:
16
Step-by-step explanation:
Substitute y = 5 into the expression
y² - 3y + 6
= 5² - 3(5) + 6
= 25 - 15 + 6
= 16
Gisele has $5.90 in quarters and nickels. If Gisele has 16 more nickels than quarters, how many quarters does she have? [I don't want the answer I just want to know how to set the problem up please]
Answer: There are 17 quarters.
Step-by-step explanation:
Let x = Number of quarters and Number of nickels =x+16
∵ 1 nickel = $0.05, 1 quarter = $0.25
value of x quarters = 0.25 x
value of x+16 nickels = 0.05(x+16)
Then, as per given,
[tex]0.05(x+16)+0.25 x= 5.90 \\\\\Rightarrow\ 0.05x+0.8+0.25x=5.90\\\\\Rightarrow\ 0.30x=5.9-0.8\\\\\Rightarrow\ 0.30x=5.1\\\\\Rightarrow\ x=\dfrac{5.1}{0.30}=\dfrac{51}{3}\\\\\Rightarrow\ x=17[/tex]
Hence, there are 17 quarters.
Chad and his family went to the beach. First, they swam in the ocean for 1 hour and 15 minutes. Then they built sand castles for 45 minutes and played volleyball for 1 hour and 30 minutes. When they finished playing volleyball, it was 3:30 P.M. What time did Chad's family get to the beach?
Answer:
12:00
Step-by-step explanation:
so if you add up all the time they were there like this 1 hour + 15 +45+1 hour +30 you will get 3 hours and 30 minutes so then you subtract the the time from the time like this 3:30 so they went at 12:00
A culture of bacterial triples in size every four hours. If the bacteria population is estimated to be three million now, what will it be one day from now?
A. 4,238,000,000
B. 6,561,000,000
C. 243,000,000
D. 2,187,000,000
Answer:
1 day = 24 hours
we cam divide in 6 periods of 4 hours
if bacteria triples in size every four hours
3 millions at begining
3^7 = 2'187'000'000 bacteria
Espero que te sirva
Answer: Geometric progression
Step-by-step explanation:
0h -> 3x10^6 /4h-> 9x10^6 / 8h-27x10^6 / 12h->81x10^6 / 16h->243x10^6 / 20h-> 729x10^6 / 24h->2187x10^6 = 2.187.000.000.:
3/v=2/4? i need help plz
Answer:
v = 6
Step-by-step explanation:
3/v = 2/4
We can use cross products to solve
2v = 3*4
2v = 12
Divide each side by 2
2v/2 = 12/2
v =6
Answer:
v=6
Step-by-step explanation:
If this is making them equal, then you should know that 2/4 is 1/2 , so you could just multiply 3 by both the 1 and the 2 in 1/2 and 1 times 3 is 3 which is what we have and 2 times 3 is 6 which is v.
Find the values of the missing sides. You must use exact answers! PLEASE HURRY AND HELP
Answer:
x=4sqrt3 a=4 b=3 ,y=8sqrt3 c=8 d=3
Step-by-step explanation:
because this is a 30-60-90 triangle, it is easy to find the side lengths. the longer leg is sqrt(3) times the shorter leg so x= 12/sqrt(3) or 4sqrt(3). the hypotenuse is 2 times the shorter leg so y= 8sqrt(3)
solve for x.
a. 2
b. 5
c. 0
d. 7
Answer:
x=0
Step-by-step explanation:
Tangent Chord Angle = 1/2 Intercepted Arc
A circle is 360 degrees
The missing arc is
360 - (2x+260)
360 -2x-260
100 -2x
Using the formula
50 = 1/2(100-2x)
50 = 50 -x
Subtract 50 from each side
0 = -x
x=0
A rectangular box with a square base contains 24 cubic feet. if the height of the box is 18 inches, how many feet are there in each side of the base?
Answer:
4
Step-by-step explanation:
V = Lwh
the volume (given) = 24 ft^3
the height (given) = 18" = 1.5'
24 = L*w*1.5
divide both sides by 1.5
16 = Lw
You need to find the number of feet in each side of the base
since the box has a square base
L = W
AND, found above, L*w = 16
so 4*4= 16
Answer - 4
88 feet/second = 60 miles/hour. How many feet per second is 1 mile/hour? (Hintdivide both sides of the equation
by the same amount.)
Round to the nearest thousandth.
One mile per hour is equivalent to
ao feet/second.
Answer:
1 miles/hour = 1.467·feet/second
Step-by-step explanation:
The given measurement unit are;
88 feet/second = 60 miles/hour
The number of feet per second that is equal to one mile per hour is found as follows;
88 feet/second = 60 miles/hour
To have a unit measure of one mile per hour , we divide both sides of the equation by 60 to get
(88 feet/second)/60 = (60 miles/hour)/60
Which gives;
(88/60 feet/second) = (60/60 miles/hour) = 1 miles/hour
22/15 × feet/second = 1 miles/hour
1.46667·feet/second = 1 miles/hour
Rounding to the nearest thousandth gives;
1.467·feet/second = 1 miles/hour
The number of feet per second that is in 1 mile per hour is 1.467·feet/second.
If x = -12, y = -3; find xy² ?
Find the value of xy².
Solution:-xy²
★ Substituting the values of x and y ,we get :
⇒ -12 × ( -3 )²
⇒ -12 × 9
⇒ -108