Sarah accepted a new job at a company with a contract guaranteeing annual raises.
Sarah's salary after working for n years can be determined using the equation
S = 90000 + 3500n. What is the slope of the equation and what is its
interpretation in the context of the problem?
Answer:
The answer is below
Step-by-step explanation:
A linear equation is in the form of y = mx + b, where y is a dependent variable (that is it depends on other variable), x is an independent variable (that is it does not depend on any variable), m is the slope (rate of change) and b is the value of y at x =0
Given that S is salary, n is number of working years. It is given by:
S = 90000 + 3500n
the slope = 3500
The equation means that Sarah's beginning salary is 90000 and the salary increases by 3500 each year
Select the ordered pair that is a solution of the system of linear equations.
y = 4x-7
y=-x+3
Answer:
(−4/5,19/5)
Step-by-step explanation:
The solution of the system of linear equations will be;
⇒ x = 2
⇒ y = 1
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of linear equations is,
⇒ y = 4x - 7
⇒ y = -x + 3
Now,
Since, The system of linear equations is,
⇒ y = 4x - 7 ..(i)
⇒ y = -x + 3 ..(ii)
Equate (i) and (ii) we get;
⇒ 4x - 7 = - x + 3
⇒ 4x + x = 7+ 3
⇒ 5x = 10
⇒ x = 2
And, We get;
⇒ y = 4x - 7
⇒ y = 4 × 2 - 7
⇒ y = 8 - 7
⇒ y = 1
Thus, The solution of the system of linear equations will be;
⇒ x = 2
⇒ y = 1
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You draw one card from a standard 52 card deck. In how many ways could the card be a queen or club?
Answer:
There are 4 of each card, so there are 2 red and 2 black of each card. This means
we have 2 red kings in the deck, and 2 black 7’s in the deck.
( ) =
2
52
*Even with a red king drawn first, there will still be 2 black 7’s in the deck, but only 51
cards remaining.
( ) =
2
51
( ℎ 7) =
2
52 ∙
2
51 =
4
2652 =
1
663 = .0015 .15%
Step-by-step explanation: Hope I helped.
Answer:
16 cards
Step-by-step explanation:
13 card are clubs, and of those 13 clubs, one is a queen. Then add all the other 3 queens from the deck, and voila! 16 cards!
Happy Halloween!~
What is 713.49 in standard form
A recipe for pie dough calls for a ratio of butter to flour of 14 : 56. If you plan to use 5 cups of flour, how much butter should you use to keep the same ratio?
Answer:
1 1/4 cup of butter
Step-by-step explanation:
You set up a preportion of the ratio 14/56 and then another with x/5 then you cross multiply and that should lead you to that answer
If 12 apples weigh 1.44 kg how much do 2 apples weigh
Answer:
.24 kg
Step-by-step explanation:
12x.12kg=1.44 kg so 2x.12kg= .24 kg
Find the radian measure of the angle with the given degree measure. Round your answer to three decimal places.
Answer:
-0.663rad
Step-by-step explanation:
The angle in question is -38°
Using the conversion formula
πrad = 180°
xrad = -38°
Cross multiply
180 × x = -38π
x = -38π/180
x = -19π/90
x = -0.6632251158
Hence the radian measure of the angle to three decimal place is -0.663rad
You have factored some polynomials using the Distributive Property and others were factored by grouping What are the
Similarities between each method
the price of a Math book after discount of 25% is $36. What is the original price of the Math book?
Answer:
$48.00
I hope this helps!
Answer:
$27
Step-by-step explanation:
36-(36*25%)=27
find the GCF using continuous division 8 30 42
Answer: 2/8 30 42
1/3 4 5
/3 4 5
Ayan po ang sagot
at paki heart nlg po :)
salamat
2. Which is the first term of the sequence 1/3, 1/9,... 1/3n
that is less than 10-6?
Answer:
sorry. I can't find the answer
can someone please help me with this question
P.S im in 5th grade btw
what is the estimation of the quotient
1997 divided by 37
please pick an answer from here
40 50 60 or 70
p.s no guessing please
Answer:
50
Step-by-step explanation:
Round 1997 to 2000, round 37 to 40
20/4=5
add a 0 and you get 50
Plot two points that are 6 units from Point B and also share the same y-coordinate
as Point B.
Please help
Answer:
2 9 and 2 -3
Step-by-step explanation:
ggs in the chat
The two points that are 6 units from Point B (1, 3) and share the same y-coordinate are (-5, 3) and (7, 3).
To plot two points that are 6 units from Point B (1, 3) and share the same y-coordinate, we need to find the points that are located 6 units to the left and right of B while having the same y-coordinate of 3.
Point to the left of B: (1 - 6, 3) = (-5, 3)
Point to the right of B: (1 + 6, 3) = (7, 3)
So, the two points that satisfy the conditions are (-5, 3) and (7, 3).
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How to convert 3 pounds to grams ?
Stand steakhouse has a server to cook ratio of 5 to 2. The total number of servers and cooks is 42. How many servers does stan’s steakhouse employ
Answer:
Step-by-step explanation:
12
Joe had a balance of -$38 in his bank
account. After he gets paid he has $128 in
his account. How much money was
deposited ?
Answer:
it does not show that he deposited any
Step-by-step explanation:
Answer:
$166
Step-by-step explanation:
Add38 + 128 = 166
Check-38 + 166 = 128
He has $128 in his account.
A submarine cruised below the surface of the water. During a training exercise, it made 4 dives, each time descending 45 feet more. Then it rose 112 feet. Write an expressionfor the change in the submarine's position.
Answer: -68
Expression :4(-45) +112
Step-by-step explanation:
-180+112= -68
ak = wv, for a
pls answer!
The art club decides to sell calendars as a fundraiser. The initial cost to
make the calendars is $605 for equipment with an additional materials cost
of $2.50 per calendar. If the club plans to sell the calendars for at least $8
a piece, how many would they need to sell to break even?
Answer:
I got 106 calendars
Step-by-step explanation:
605 divided by 2.50 = 242. Next you have to add what you got to the initial cost. Then we get 847. Next you have to divide this by 8 and round up, and i got 106. I might be wrong XD
They need 110 calendars to reach $1200.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
The initial cost to make the calendars is $605 for equipment with an additional materials cost of $2.50 per calendar.
We have to raise at least 1200$.
let x be the number of calendars.
Then, the inequality is,
8x - 2.5 x + 600 ≥ 1200
Solving we get,
5.5x≥ 600
x ≥ 109.09
x ≥ 110
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What are the first 4 terms of an arithmetic sequence with a pattern of -6 if the first term is 76
Answer:
76, 70, 64, 58.
Step-by-step explanation:
By pattern I guess you mean common difference.
The first term is 76 so the second is 76-6 = 70, then we have 70-6 = 64 and so on.
The first 4 terms in an arithmetic sequence are 70, 64, 58, 52.
What is an arithmetic sequence?
An arithmetic sequence is a sequence where every two consecutive terms have the constant difference between them.
Here the first term = 76 and the common difference is = -6.
Therefor,
The 2nd term is = 70.
The 3rd term is = 64.
The 4th term is = 58.
The 5th term is = 52.
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If a = -4 and b = -6, which of the following statements is true?
A. a is less than b .
B. a has a smaller absolute value than b .
C. The opposite of a is 6.
D. The distance between a and b is 10.!
Answer:
B a has a smaller absolute value than b
Step-by-step explanation:
Which ordered pair is a solution of the equation?
7x-2y= -5
Answer:
Neither
Step-by-step explanation:
To check whether an ordered pair (a,b)(a,b)left parenthesis, a, comma, b, right parenthesis is a solution of an equation, substitute these values into the equation and determine if the resulting equality is true or false.
To check whether (\blue{1},\pink{5})(1,5)left parenthesis, start color #6495ed, 1, end color #6495ed, comma, start color #ff00af, 5, end color #ff00af, right parenthesis is a solution of the equation, let's substitute \blue{x}=\blue{1}x=1start color #6495ed, x, end color #6495ed, equals, start color #6495ed, 1, end color #6495ed and \pink{y}=\pink{5}y=5start color #ff00af, y, end color #ff00af, equals, start color #ff00af, 5, end color #ff00af into the equation:
\begin{aligned}7\blue{x}-2\pink{y}&=-5\\ 7\cdot\blue{1}-2\cdot\pink{5}&=-5\\ 7-10&=-5\\ -3&=-5\end{aligned}
7x−2y
7⋅1−2⋅5
7−10
−3
=−5
=−5
=−5
=−5
Since -3\neq-5−3
=−5minus, 3, does not equal, minus, 5, we obtained a false statement, so (1,5)(1,5)left parenthesis, 1, comma, 5, right parenthesis is not a solution of the equation.
Hint #33 / 4
To check whether (\blue{-1},\pink{1})(−1,1)left parenthesis, start color #6495ed, minus, 1, end color #6495ed, comma, start color #ff00af, 1, end color #ff00af, right parenthesis is a solution of the equation, let's substitute \blue{x}=\blue{-1}x=−1start color #6495ed, x, end color #6495ed, equals, start color #6495ed, minus, 1, end color #6495ed and \pink{y}=\pink{1}y=1start color #ff00af, y, end color #ff00af, equals, start color #ff00af, 1, end color #ff00af into the equation:
\begin{aligned}7\blue{x}-2\pink{y}&=-5\\ 7\cdot(\blue{-1})-2\cdot\pink{1}&=-5\\ -7-2&=-5\\ -9&=-5\end{aligned}
7x−2y
7⋅(−1)−2⋅1
−7−2
−9
=−5
=−5
=−5
=−5
Since -9\neq-5−9
=−5minus, 9, does not equal, minus, 5, we obtained a false statement, so (-1,1)(−1,1)left parenthesis, minus, 1, comma, 1, right parenthesis is not a solution of the equation.
Neither of the ordered pairs is a solution of the equation.
Neither of the ordered pairs (1, 5) and (-1, 1) is a solution to the equation 7x - 2y = -5. The correct option is 4.
An ordered pair is a pair of numbers that represents a point in a coordinate system. It is written in the form (x, y), where 'x' is the horizontal value (abscissa) and 'y' is the vertical value (ordinate). The order of the numbers is essential, as switching their positions creates a different point.
equation: 7x - 2y = -5
For (x = 1, y = 5):
7(1) - 2(5) = 7 - 10 = -3 (Not equal to -5).
(x = -1, y = 1):
7(-1) - 2(1) = -7 - 2 = -9 (Not equal to -5).
Since neither ordered pair satisfies the equation 7x - 2y = -5, the correct answer is 4. neither.
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The complete question is-Which ordered pair is a solution of the equation?
7x-2y= -5
1. only 1,5
2. only -1, 1
3. both 1,5 and -1,1
4. neither
Ok. anyone in 7th grade, good at math but bad at English, and need someone to help with homework? Iʻm good at English but need help with math.
Answer:
im in the. 9th grade but if you need help with math i can help but im not so good in english
Step-by-step explanation:
Stacy worked 6 hours each day for 6 days she earned a total of $234 how much did Stacy earn per hour?
Answer:
Yes, the correct answer is $6.50..
Step-by-step explanation:
Stacy earns $6.5 per hour.
What is multiplication?Multiplication is the process of adding a number up to a given number.
Given that Stacy worked 6 hours each day for 6 days
The total number of hours Stacy worked is 6×6=36 hours
Therefore, Stacy earned $234 for 36 hours
$234 = 36 hours
$234/36 = 1 hour
$6.5 = 1 hour
Hence, Stacy earns $6.5 per hour.
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what is 5+3x4+7+15= f
Jon rode his bike at a constant speed. He rode 1 mile in 4 minutes.
Which of these equations represents the amount of time t (in minutes) that it takes him to ride a distance of d miles?
Answer:
d/t=r or distance divided by time equals rate
Step-by-step explanation:
We can implement that formula to Jon’s problem. In his problem it will be 1/4 which equals one-fourth. So Jon’s rate is 1/4 mpminute.
Juan makes 10 casseroles for a party. Each guest will be served 2/3 casserole how many people can be fed?
Answer:
15 guests.
Step-by-step explanation:
Divide 10 by 2/3:
10 divided by 2/3
10/1 multiplied by 3/2
Anwer: 15!
Hope this helps! :)
Explain the difference between a thermal conductor and a thermal insulator.
Answer:
thermal conductors conduct/ transfer heart
thermal insulators contain/prevent the transfer of heat
What is 4500 + 10000
Answer:
14500!
Step-by-step explanation:
PLEASE HELP ME I DONT KNOW THE ANSWR!! 25 POINTS!!!!!!!!!!!!!!!
which of the following is an equation of the line that passes through the point (2,2) and is parallel to the graph of the equation y = 3x-1?
Answer:
y=3x-4
Step-by-step explanation:
2=3(2)+b
2=6+b
-4=b
parallel lines have the same slope, so 3/1 would be slope
y=mx+b
y=3x-4