We want to write and solve a system of equations to see how much each person earns.
What each one earned is:
Janet = $78Kate = $180David = $75Let's define:
J = number of hours that Janet worked.D = number of hours that David worked.K = number of hours that Kate worked.The information is:
"Janet worked 3 hours more than David and 7 hours less than Kate"
From this we can write:
J = D + 3
J = K - 7
We know that:
David earned $7.50 per hour.Janet earned $6 per hour.Kate earned $9 per hour.Finally, we know that Kate earned $27 more than David an Janet combined, then we can write:
$9*K = $27 + ($7.50)*D + $6*J
Then we have a system of equations:
J = D + 3
J = K - 7
$9*K = $27 + ($7.50)*D + $6*J
We can rewrite the first and second equations to get:
D = J - 3
K = J + 7
Now we can replace these two in the other equation to get:
$9*(J + 7) = $27 + ($7.50)*(J - 3)+ $6*J
Now we can solve this for J:
$9*J + $63 = $27 + $7.50*J - $22.50 + $6*J
$9*J - $7.50*J - $6*J = $27 - $63 - $22.50
-$4.50*J = -$58.60
J = (-$58.60)/(-$4.50) = 13
This means that Janet worked for 13 hours.
And with:
K = J + 7 = 13 + 7 = 20
D = J - 3 = 13 - 3 = 10
We can see that Kate worked for 20 hours and David for 10 hours.
Then each one of them earned:
Janet = 13*$6 = $78
Kate = 20*$9 = $180
David = 10*$7.50 = $75
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help please if failed this
Please help me with this homework
Answer:parralell
Step-by-step explanation:
In the figure below, m
110°, m
68°, and KN bisects LKM. Find JKN.
Answer:
m<JKN=76º
Step-by-step explanation:
since the angle bisects just divide 68 by 2
m<LKN=34º
then since JKM is the total of all angle measurements
110-68=42
so m<JKL=42º
JKL+LKN=JKN
42+34=76
to check just add the measurements and makes sure that they make 110
so 76+34=110
The value of an angle ∠JKN will be 76 degrees.
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. In geometry, the ray, line, or segment that divides a given angle into two equal pieces is known as the angle bisector.
Given that In the figure, m 110°, m 68°, and KN bisects LKM.
Since the angle bisects just divide 68 by 2
∠LKN=34º
Then since JKM is the total of all angle measurements
110-68=42
∠JKL=42º
JKL+LKN=JKN
42+34=76 degrees
Therefore, the value of an angle ∠JKN will be 76 degrees.
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Members of a softball team raised $1158.25 to go to a tournament. They rented a bus
for $836.50 and budgeted $24.75 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament.
Equation:
Answer: p =
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The number of players the team can bring to the tournament is 13.
The first step is to determine the total budget for all the players. To do this, subtract the cost of renting the bus from the total money raised.
Budget for all the players = $1158.25 - $836.50 = $321.75
The second step is to determine the number of players that can go for the tournament, divide the total budget by the budget per player.
Number of players that can attend the tournament = $321.75 / $24.75 = 13 players.
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z squared when z = 0.5
Answer:
0.5² = 0.5 × 0.5 = 0.25
Step-by-step explanation:
What is the iterative rule for this geometric sequence?
2/9, 2/3, 2, 6, ...
A.) an = 2/9 • 3^n
B.) an = 3(2/9)^n-1
C.) an = 2/9 • 3^n-1
D.) an = 3(2/9)^n
Answer:
I think it is B an=3(2/9)
The iterative rule for this geometric sequence is [tex]a_{n} =\frac{2}{9} *3^{n-1}[/tex]
What is geometric sequence?A unique kind of sequence is a geometric sequence. Every term in the series (aside from the first term) is multiplied by a fixed amount to determine the following term. In other words, we multiply the current phrase in the geometric sequence by a constant term (called the common ratio), Divide the current term in the geometric sequence by the same common ratio to discover the previous term in the geometric sequence. Here is an illustration of a geometric sequence with a common ratio of 2, which is 3, 6, 12, 24, and so on. A geometric sequence's common ratio can be either negative or positive, but it cannot be zero.Given that we are aware that a geometric series has an explicit formula in form[tex]a_{n} =(a_{1} )*r^{n-1}[/tex]where, [tex]a_{n}[/tex]=nth term of geometric sequence[tex]a_{1}[/tex]= 1st term of geometric sequencer=common ratioWe can see that our geometric sequence's first term is. By dividing any number by the number that comes before it in the sequence, let's find the common ratio of our supplied sequence.Since 2 comes before 6 in the given geometric sequence, let's divide 6 by 2.r= 6/3 = 3The common ratio is three, as can be seen.When we use the explicit geometric sequence formula with our values, we will obtain,[tex]a_{n} =\frac{2}{9} *3^{n-1}[/tex]Therefore, The iterative rule for this geometric sequence is [tex]a_{n} =\frac{2}{9} *3^{n-1}[/tex]
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Please help me, i am confused on letter C
Answer:
find the midpoint of the line AB...
and plot it on the graph
It’s really helpful for me if you answer
Answer:
HGI=EFG because its the same, its just flipped.
The answer is the opposite of 104°. The negative inverse of 104° is -104° I think.
HGI is -140°.
EFG is 140°.
what is 2 3/8 in a improper fraction?
Answer:
See below a shorter way to convert 2 3 8 to an improper fraction. Step 1: Multiply the whole number part (2) by the denominator (8). Step 2: Add the product from Step 1 (16) to the numerator (3). Step 3: Write that result (19) above the denominator.
Step-by-step explanation:
hope this helps you if it does plz mark brainiest
Find the missing amount)
Original: $15
New: $25
%Increase:_______
(not multiple choice)
Answer:
66.6%
Step-by-step explanation:
Original = 15
New = 25
Percent increase = x%
25 - 15 = 10
10/15 = 2/3 = 66.6%
-Chetan K
Pls help ASAP I’ll give brainliest
Answer:
(A) 44.7°Step-by-step explanation:
Use the law of cosines:
[tex]cos A=(b^2+c^2-a^2)/(2bc)[/tex][tex]cos A=(25^2+31^2-22^2)/(2*25*31)=0.711[/tex]m∠A = arccos(0.711) ≈ 44.7°Using law of cosines
[tex]\\ \sf\longmapsto cosA=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
[tex]\\ \sf\longmapsto cosA=\dfrac{25^2+31^2-32^2}{2(25)(31)}[/tex]
[tex]\\ \sf\longmapsto cosA=\dfrac{625+961-484}{1550}[/tex]
[tex]\\ \sf\longmapsto cosA=\dfrac{1102}{1550}[/tex]
[tex]\\ \sf\longmapsto cosA=0.7109[/tex]
[tex]\\ \sf\longmapsto A=cos^{-1}(0.7109)[/tex]
[tex]\\ \sf\longmapsto A=44.7°[/tex]
turn into proper fractions( be sure to simplify all answers): 64/7 and 70/6
I'll give ʙʀɪɑɴʟɪɘsŦ (❤´艸｀❤)
Answer:
64/7 = 9 1/7
70/6 = 11 2/3
Can someone plz helppppp m=?
B=?
6/5 divided by 3/2 times 15/8 divided by 9/8
3/4 part of 20 books means how many books?
class 5
maths
answer =15 books
Step-by-step explanation:
3/4 * 20 = 60 / 4= 15 books
Answer:
15
Step-by-step explanation:
3/4×20 4 will cancel 20 you'll get 5 then 3×5 you'll get 15
solve for W
A=6W
W=?
Answer:
A/6=w
Step-by-step explanation:
A=6w
A/6=6w/6
w=A/6
The weight of an object on the moon varies directly with its weight on Mars. If an object weighing 110 g on the moon weighs 250 g on mars, how much does an object weigh on the moon if it weighs 100 g on Mars?
Answer: 44g is the answer
the table/ordered pairs of y=−3x+2
iam thick look that's all imma say
Ellie just got her first cell phone plan. She pays $79 per month plus $150 activation fee. Write the equation to represent the situation
Answer:
150+79m
Step-by-step explanation:
$150+$79m (m per month)
Helppp Me Please I need help
Answer:
x+2,y-2
Step-by-step explanation:
That's the translation units
please help me asap. im giving brainliest.
Answer:
its b. infinite solutions
Answer:
B. Infinite solutions.
Step-by-step explanation:
If you solve an equation and you end up with an obvious identity, such as 5 = 5, you'll know that the orginal equation is also an identity, with an infinite number of solutions. ... No matter what value you choose for x, the equation will be a FALSE statement.
5 of 12
Malachy was thinking of a number. Malachy doubles it and adds 1.4 to get an answer
of 66.9. Form an equation with x from the information.
Answer:
x×2+1.4=66.9
I hope I helped! Have a great rest of your day.
Match the inequality with its graph.
Answer:
the answer is b
Step-by-step explanation:
5x plus seven can equal 32 if x equals 5
5x equals 25 hypothetically plus 7 equals 32 and x can be a lower number so it is a closed circle
-3/4 ÷ 5/8?
send help.
please.
-1.2 as decimal. Use fraction calculator to find fraction. So sorry if incorrect!
Help me i actually need this asap...Only right answer ..No spammer.No wrong answer.
.............5b............
express 10000 in Index form
Answer:
10^4
Step-by-step explanation:
10×10×10×10=10,000, which is given number.
What is product of (3x + 4)(x2 + 3x - 2)
Answer:
hope it hepls
pls mark me as Brainliest
Please help me out I literally suck at this
Answer:
5
Step-by-step explanation:
3-4-5 Rule: If two of the sides are a combination of 3,4, or 5, then the last number is the leftover one
Explain how to graph the given piecewise-defined function. Be sure to specify the type of endpoint each piece of the function will have and why. f(x)= 3, x + 3, X < 2 25 x < 4 4 – 2x, x 2 4
You would graph the equation f(x) = –x + 3 for input values less than 2. There would be an open circle at the point (2, 1) since the domain for the first piece does not include 2. You would then graph a horizontal line at f(x) = 3 for input values between 2 and 4. There would be a closed circle at (2, 3) and an open circle at (4, 3). Last, you would graph f(x) = 4 – 2x for input values greater than or equal to 4. There would be a closed circle at the point (4, –4) since 4 is in the domain of the third piece.
Step-by-step explanation:
sample answer
write 0.2467 being repeated, into its simplest form.
please answer with step by step problem and explanation please!
Thank you :)
Answer: I don't know if it's correct but maybe the answer will be something like
Step-by-step explanation: 0.18 = 9/50
3.596 = 899/250 and 0.2467 = 2467/10000