Step-by-step explanation: For example, 5 can be written as 5/1. The natural numbers, whole numbers, and integers are all subsets of rational numbers.
Solve the system by substitution.
- 8x + y = -32
- 3x – 10 = y
(,)
Answer:
[tex]x=2,\:y=-16[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}-8x+y=-32\\ -3x-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-8x+y=-32:\quad x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}x=-\frac{-32-y}{8}\\\begin{bmatrix}-3\left(-\frac{-32-y}{8}\right)-10=y\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{3\left(-32-y\right)}{8}-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{3\left(-32-y\right)}{8}-10=y:\quad y=-16\\\\\mathrm{For\:}x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}y=-16\\x=-\frac{-32-\left(-16\right)}{8}\\[/tex]
[tex]-\frac{-32-\left(-16\right)}{8}=2\\x=2\\x=2,\:y=-16[/tex]
Answer:
x = 2
y = -16
Step-by-step explanation:
Substitute value of y, -3x - 10 in the equation-8x + y = -32
-8x + (-3x - 10) = -32
-8x - 3x - 10 = -32
-11x - 10 = -32
-11x = -32 + 10
-11x = -22
Divide both sides by coefficient of x which is -11
x = 2
Substitute value of x, 2, in the equation-3x - 10 = y
(-3)2 - 10 = y
-6 - 10 = y
y = -16
What’s the answer ?
Answer:
24
Step-by-step explanation:
A force of 250 N is applied to an object that accelerates at a rate of 5 m/sec^2. What is the mass of the object?
======================================================
Work Shown:
F = ma
250 = m*5
250/5 = m
50 = m
m = 50
The mass of the object is 50 kg
19. A concert vendor sold 200 tickets for an upcoming rock concert. Floor seats were $36 and stadium seats
were $28. The vendor sold $6080 in tickets. How many floor seats and stadium seats did the vendor sell?
Set up a system of equations and solve. Let f = the number of floor seats sold and S= number of stadium
seats sold.
Answer:
36F + 28S= 6080
Step-by-step explanation:
36F + 28S= 6080 is the equation for the problem. For the amount of tickets each one sold, station seats sold 140 tickets and floor seats sold 60 tickets.
A corporation reported profit of approximately $1500 million with approximately $24,300 million in revenues. Compare the profit to revenue by writing as a fraction in the lowest terms
Answer:
[tex]\frac{5}{81}[/tex]
Step-by-step explanation:
Given:
Profit = $1500 million
Revenue = $24,300 million
Profit to Revenue = [tex]\frac{1500 million}{24,300 million}[/tex] [Since they both have same unit ($), this sign can be omitted]
Now let's reduce the ratio above to its lowest terms...
[tex]\frac{1500 million}{24,300 million}[/tex]
[First, the millions at the numerator and denominator cancel out]
[tex]\frac{1500}{24,300}[/tex]
[Next, the two zeros at the numerator and denominator cancel out]
[tex]\frac{15}{243}[/tex]
[Next, divide both the numerator and denominator by 3]
[tex]\frac{5}{81}[/tex]
Since no further division can be done, then the profit to revenue is in its lowest terms as [tex]\frac{5}{81}[/tex]
Multiply. (2x + 5) (3x2 + 5x + 1) A. 5x3 + 15x2 + 27x + 5 B. 6x3 + 15x2 + 27x + 6 C. 6x3 + 25x2 + 27x + 5 D. 6x3 + 25x2 + 23x + 5
Answer: 6x3+25x2+27x+5
Step-by-step explanation: =(2x+5)(3x2+5x+1)
=(2x)(3x2)+(2x)(5x)+(2x)(1)+(5)(3x2)+(5)(5x)+(5)(1)
=6x3+10x2+2x+15x2+25x+5
Which fraction is equivalent to a repeating decimal? A)3/11 B)3/4 C) 3/8 D) 3/5
Answer:
3/11.
Step-by-step explanation:
3/11 = 0.2727272727....
Simplify :
............
Answer:
?sjsjssnsk.aia.
iwkq.qnw w.1kp1p1la
ama zz
anmpq0qq
Kamal and Anand each Lent the same sum of money for 2 years at 5 percent at simple interest and compound interest respectively. Anand received RS.15 more than Kamal.Find the amount of money lent by each and interest received
Answer:
amount lent: ₹6000interest received: Kamal, ₹600; Anand, ₹615.Step-by-step explanation:
For principal P invested at simple interest rate r, the returned value in t years is ...
A = P(1 +rt)
If K is Kamal's returned value, the given numbers tell us ...
K = P(1 +0.05·2) = 1.1P
__
For principal P invested at compound interest rate r, with interest compounded annually for t years, the returned value is ...
A = P(1 +r)^t
If A is Anand's returned value, the given numbers tell us ...
A = P(1.05)² = 1.1025P
This latter amount is RS.15 more than the former one, so we have ...
1.1025P = 1.1P +15
0.0025P = 15 . . . . . . . . subtract 1.1P
P = 6000 . . . . . . . . . . . divide by 0.0025 . . . . the amount lent
Kamal received 1.1P -P = 0.1P = 600 on the investment.
Each lent ₹6000. Kamal received ₹600 in interest; Anand received ₹615 in interest.
Suppose you charge $4.50/h for baby-sitting. How much will you earn baby-sitting for 3 1/2 hours?
Answer:
You will earn $15.75, $13.50, or $18 depending on how you are getting paid
Step-by-step explanation:
If you are getting paid a flat rate not by the hour, then simply multiply $3.50 by 3.5 to get $15.75
If you are getting paid by the hour, and only by full hours, the you get $3.50 for the first, second, and third hour, but not for the fourth hour because it has only been a half hour, so only $13.50.
If you are getting paid for each hour that you start, then you get $3.50 for four hours, or $18.00 total
The first term of an arithmetic sequence is -2. The eighth term of the sequence is 26. What is the common difference of the arithmetic sequence?
Answer:
d = 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁ = - 2 and a₈ = 26 , then
- 2 + 7d = 26 ( add 2 to both sides (
7d = 28 ( divide both sides by 7 )
d = 4
Answer:
d = 4
Step-by-step explanation:
a₁ = -2
a₈ = aₙ = 26
n = 8
aₙ = a₁ + d(n-1)
d = aₙ - a₁ / (n-1)
d = 26 -(-2) / (8-1)
d = 26 + 2 / 7
d = 28 / 7
d = 4
-2
-2 + 4 = 2
2 + 4 = 6
6 + 4 = 10
10 + 4 = 14
14 + 4 = 18
18 + 4 = 22
22 + 4 = 26
You buy one shirt for $22 and two pairs of shorts. Your total cost is $56. Assuming both pairs of shorts cost the same amount, what is the price of one pair of shorts? What is the correct equation and solution for this problem? A. 2 x - $22 = $56; x = $34 B. 2 x + $22 = $56; x = $34 C. 2 x + $22 = $56; x = $17 D. 2 x - $22 = $56; x = $17
Answer:
B. 2x + $22 = $56 ; x = $17
Step-by-step explanation:
Assuming a pair of short is accounted for by the variable x.
Your total cost is $56. This means that your expression will equal 56:
________________ = 56
Next, you buy 1 shirt (denoted by s) for $22.
s = $22
You buy 2 pairs of pants. The cost is not given, so it can vary. Give it a variable. The answers denote it as x. As you are buying two pairs of pants, multiply 2 with x:
2 * x = 2x.
Combine the terms and plug it into the equation:
2x + 22 = 56
Next, solve for x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. Remember, PEMDAS is the order of operation, &
PEMDAS =
Parenthesis
Exponents & Roots
Multiplication
Division
Addition
Subtraction
First subtract 22 from both sides:
2x + 22 (-22) = 56 (-22)
2x = 56 - 22
2x = 34
Next, divide 2 from both sides:
(2x)/2 = (34)/2
x = 34/2
x = $17
B. 2x + $22 = $56 ; x = $17 is your answer.
~
Answer:
B. 2x + $22 = $56 ; x = $17
Step-by-step explanation:
write in standard form y=-3x+4 through (0,-1)
What is 39,040,000 expressed in scientific notation
Answer:
39.04 x 10 to the power of 7
Step-by-step explanation:
probably wrong but ok :)
GEOMERTY QUESTIONS!!!!!!!!!
Answer: The answer to the first question is C. The answer to the second question is A.
the first one is C and the second is A
Zero can be classified as all of the following except which? A. Whole B. Rational C. Integer D. Natural
Answer:
Zero can be classified as a: Whole number, Rational number, and integer.
Step-by-step explanation:
Zero cannot be classified as a natural number because it does not have a positive or negative value.
I hope this helps! Good luck!
Zero is not classified as a D. Natural number
Zero can be quite complicated to place when it comes to numbers but it is generally agreed that zero is:
a whole number and is the smallest one an integer because it is a whole number a rational number because it is an integerThere is however some contention about whether zero is a natural number but most mathematicians have conclusively stated that zero is not a natural number.
Find out more at https://brainly.com/question/14751537.
Which statement is false?
A pair of $120 shoes was discounted 20 percent. A customer had a coupon for an additional $5 off. What was the final price of the shoes?
Answer:
The answer would be $91.
Step-by-step explanation:
20% off of 120 is 96 and 96 - 5 is 91.
Answer:
$91
Step-by-step explanation:
To find 20% off of $120 set it up as a fraction.
We are trying to find x.
x/120 = 20/100
Now you are going to cross multiply to get the unchanged/non-simplified version of you soon to be answer.
2400/100x
Simplify that to find how much you need to subtract from $120 when the discount is added. 2400/100 = 24. 120-24 = 96. Then subtract 5 from 96 and that will give you your final answer.
Which of the following is a statistical question
A. How many times did you buy school lunch last week?
B. How many days were in last montha
C. Is your favorite number between 0 and 102
D. What is the area of a l-inch x l-inch sticky note
Answer:
its d because who askes that question
Can y’all help me my time is almost over I need this ASAP and I’ll give brainliest
Answer:
Based on the question. D, would make the most sense.
Two cars, which are 210 miles apart, drive towards
each other at constant speeds. The speed of the
second car is 20 miles per hour faster than the first car.The cars pass each other in 1 1/2 hours. What is the speed of both cars?
Answer:
slower car=60 miles/hr
faster car =80 miles/hr
Step-by-step explanation:
the speed of slower car =x
the speed of faster car=x+20
they both 210 miles apart
(x+x+20)*(1 1/2 )=210
(2x+20)(3/2)=210
3x+30=210
3x=210-30
3x=180
x=180/3 ⇒ x=60
x+20 ⇒ 60+20=80
A cable company charges $95 for installation plus $45 per month. If you paid $455 over a period of time, how many months did you use that cable company?
Answer: 8 months
Step-by-step explanation:
m= number of months
45m+95=455
minus 95 over
45m=360
divide by 45
m=8
At the start of summer Ben has $250. He takes summer job
and saves $ 150 per week. Tim has $ 1,650 at the start of
summer, he travels and spends $ 200 per week. At the end of
which week do Ben and Tim have the same amount of money ?
Answer:
week 4
Step-by-step explanation:
With Ben saving up $150 every week, he'll have $850 by week 4 because, $150 times 4 is $600, plus the $250 that he started with equals $850. Tim will also have $850 by week 4 because $200 times 4 equals $800. $800 minus the $1650 that he started off with equals $850.
What is the slope of the line that passes through (-5,4) and (-1,8)
Answer:
1
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= ( 8-4)/( -1 --5)
= 4/( -1+5)
= 4/4
=1
You need the slope, so start with the slope formula.
slope = y₂ - y₁ / x₂ - x₁
Substitute (-5, 4) for (x₁, y₁) and (-1, 8) for (x₂, y₂).
So we have 8 - 4 / -1 - -5.
Simplify to find the answer.
So we have 4/4 which is 1.
Please help !!!!!!!!!!!!!
Answer:
with what part of the question be more specific
Hurry plzzzzzz !!!!!!!
Plz help me Much appreciated.
Find the two missing numbers shown with an "*" in the equation.
5 3/* × * 1/2 = 19
^^both mixed fraction^^
WILL GIVE BRANLIEST ANSWER ASAP
3(x + 7) = 3x + 21 is an example of which property?
Associative Property
Identity Property
Distributive Property
Commutative Property
Answer:
Identity property
Step-by-step explanation:
Which sentence is correct? A. B. C. D.
Answer:
what do you mean what sentence is correct give a picture
Answer:a
Step-by-step explanation: