Answer:
(8,23)
Step-by-step explanation:
x+y=31
4.5x + 11y = 289
x = 31 -y
4.5(31 - y) + 11y = 289
139.5 - 4.5y + 11y = 289
6.5y = 149.5
y = 23
x = 31 - 23 = 8
The ordered pair, (x, y) = (8, 23).
What is an ordered pair?
An ordered pair exists as a composition of the x coordinate (abscissa) and the y coordinate (ordinate), containing two values noted in a fixed order within parentheses.
Given: A taxi driver had 31 fares to and from the airport last Monday. The price for a ride to the airport exists $4.50, and the price for a ride from the airport exists $11. The driver collected a total of $289 for the day.
x + y = 31........(1)
4.5x + 11y = 289 ........(2)
From (1), we get
x + y = 31
x = 31 - y
Substitute the value of x in (2), and we get
4.5x + 11y = 289
4.5(31 - y) + 11y = 289
Simplifying the above equation, we get
139.5 - 4.5y + 11y = 289
6.5y = 149.5
y = 23
substitute the value of y, in (1) then we get
x = 31 - y
x = 31 - 23 = 8
The value of x = 8 and y = 23.
Therefore, the ordered pair, (x, y) = (8, 23).
Complete question
A taxi driver had 31 fares to and from the airport last Monday. The price for a ride to the airport is $4.50, and the price for a ride from the airport is $11. The driver collected a total of $289 for the day. Let 2 represent the number of trips to the airport and y represent the number of trips from the airport. Write the ordered pair, (x, y) that represents the situation.
3.
a) Find the HCF of 45 and 60
b) Find the LCM of 45 and 60
c) Multiply your answers to parts a and b together.
d) Multiply 45 and 60.
Answer:
a- 15
Step-by-step explanation:
Answer:
a.) 15
b.) 180
c.) 2700
d.) 2700
If Tn =n^+2n. Find third term of the sequence
Answer:
The third term of the sequence Tₙ = n² + 2n is:
T₃ = 15
Step-by-step explanation:
Given
As the sequence is given by
Tₙ = n² + 2n
To determine
The third term of the sequence
The third term of the sequence can be determined by substituting n = 3 in the sequence
Tₙ = n² + 2n
T₃ = (3)² + 2(3)
T₃ = 9 + 6
T₃ = 15
Therefore, the third term of the sequence Tₙ = n² + 2n is:
T₃ = 15
10° 70° 110° 170° are my choices
Answer: 70 sorry if wrong
Step-by-step explanation:
Answer:
70°
Step-by-step explanation:
Hi!
So, according to the verticle angle theorem:
[tex]2x+50=7x[/tex]
Now just solve this equation
Same to both sides:
[tex]50=5x[/tex]
[tex]x=10[/tex]
Plug in numbers to 2x+50
[tex]2(10)+50[/tex]
[tex]20+50\\70[/tex]
a pet store had 3 cats. if they wanted to split 17 ounces of cat food amongst them, how much should each cat get? please tell me how you got the answer. Thanks!
Answer:
A. 3/17
B. 5 1/3
C. 3/5
D. 17/3
Answer:
D. 17/3
Step-by-step explanation:
You would be dividing 17 by 3 or 17/3 (This is literally it just write the division problem).
Answer:3/17
Step-by-step explanation:
because if your doing fractions like 5th grade math what ever numbers is first like the top fraction so for examples tom had 5 cakes and blah blah 13 people the fraction would be 5/13 cakes
We form three groups 1, 2 and 3 using 8 red balls and 18 blue balls such that (a) all balls must be used; (b) each group must have at least one red ball and one blue ball; (c) there are strictly more blue balls than red balls in each of the three groups. How many different combinations are there
Answer:
{b}
Step-by-step explanation:
olivia's passcode has 4 digit The second digit to the left is 3 times the first (left most) digit tHe number formed by the last (right most ) 2 digits is three times the second digit to the left.the sum of the digits is 21. what is olivia's pass code
Answer:
3927
Step-by-step explanation:
This is the answer my teacher gave me, I promise.
The four-digit passcode is 3927 and this can be determined by using the given data and by using the hit and trial method.
Given :
Olivia's passcode has 4 digits. The second digit to the left is 3 times the first (left most) digit.The number formed by the last (right most) 2 digits is three times the second digit to the left.The sum of the digits is 21.Let the four digits passcode be 'abcd'. Then mathematical expression that represents "The second digit to the left is 3 times the first (left most) digit" is given below:
b = 3a --- (1)
The mathematical expression that represents "the sum of the digits is 21" is given below:
a + b + c + d = 21 --- (2)
So, let a = 3, then b = 9, and the last two digits are 27. So, the number becomes 3927.
For more information, refer to the link given below:
https://brainly.com/question/25277954
p is directly proportional to the cube of q
Answer:
p=q^3
Step-by-step explanation:
The formula for p in terms of q is p = 0.4 q³
What is meaning of Direct Proportion ?Direct Proportion means when one variable changes the other also changes in the same direction by some proportion.
It is given that
p ∝ q³
p = k q³
here k is the proportionality constant
It is also given that when q = 15 , p = 1350
1350 = k * 15³
k = 0.4
Therefore
The formula for p in terms of q is
p = 0.4 q³
The complete question is
p is directly proportional to the cube of q . When , q = 15 , p = 1350
Find a formula for p in terms of q
To know more about Direct Proportion
https://brainly.com/question/14664532
#SPJ2
Julie bought 12
packages of cucumber seeds. Each bag contains 42
seeds. If she plants half of the seeds, how many of the
seeds does she have left?
Answer:
12x42=504
504/2=252
252
Step-by-step explanation:
37% of what number is 48?
Answer:
129.73
Step-by-step explanation:
Answer:
48 is 37% of 129.72973
What is the solution to f(x)=g(x) ?
Consider the system of linear equations shown here. x – 4y = -8 y = -X – 3 What is the solution to this system? How do you know?
Answer:
x = -4
y = 1
Step-by-step explanation:
For the "How do you know?" part, substitute the x and y values into one the original equations and check to see if it's true
The perimeter of a dance floor is 44 feet.
The length is 8 feet less than twice the width.
Let I=length and w=width.
0 21 + 2w = 44
1 = 2w - 8
21 + 2w = 44
w= 21 – 8
0 21 + 2w = 8
1 = 2w - 44
O 1 + w = 44
1 = 2w – 8
Answer:
Step-by-step explanation:
Not sure what the question is here.
L = W-8
Perimeter = 2L + 2W = 44
L+W = 22
(W-8)+ W = 22
W = 15 ft
L = 7 ft
What is the value of X on the parallelogram below?
In a lab, 100 cells are present at the beginning of an experiment. During the first 10 hours, the number of
cells increased by 28% each hour.
Answer:
100+0.28*100=100+28=128
Step-by-step explanation:
In a standardized IQ test scores are normally distributed, with a mean score of 100 and a standard deviation of 15 what is the highest score that would still plays a person in the bottom 10% of the scores
The 68-95-99.7 Rule Example
Figure 1 illustrates how to apply the 68-95-99.7 Rule to the distribution of IQ scores. In this example, the population mean is 100 and the standard deviation is 15. Based on the 68-95-99.7 Rule, approximately 68% of the individuals in the population have an IQ between 85 and 115.
PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!!
Answer:
B
Step-by-step explanation:
Only need to check m:
m^-6 / m^-2 = m^(-6 - -2) = m^-4 = 1 / m^4
Answer:
B
Step-by-step explanation:
PLS HELP ME ILL GIVE BRAINLIEST, AND PLS EXPLAIN YOUR ANSWER<3
A field has an area of 9/20 square mile. Determine the width of the field if the length is 9/10 mile long.
Answer:
[tex] \huge \boxed{ \boxed{ \sf \: \frac{1}{2} }}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:fractionPEMDASequationgiven:area:[tex]\frac{9}{20}[/tex]length:[tex]\frac{9}{10}[/tex]to find:widthtips and formulas:area of a rectangle=l×wlet's solve:let width be w
according to the question
the equation is
[tex] \sf \frac{9}{10 } \times w = \frac{9}{20} [/tex]
let's figure out the equation
[tex] \tt \: divide \: both \: sides \: by \: \frac{9}{10} : \\ \sf\frac{9}{10} \div \frac{9}{10} \times w = \frac{9}{20} \div \frac{9}{10} [/tex][tex] \tt simplify : \\ \sf\frac{9}{10} \times \frac{10}{9} \times w = \frac{9}{10} \times \frac{10}{9} \\ \therefore \: \tt \: w = \frac{1}{2} [/tex]A rectangular playground has width of 320 feet and a length of 1280 feet. Brooklyn makes a
scale model of the playground using a scale of 4 cm: 20 feet. What are the dimensions of
Brooklyn's scale model?
please help
Answer:409600
Step-by-step explanation:I multpiled and got 409600
Mrs. Shaw writes this equation on the board. She asks the students to find
the solution.
-40 -2(3m + 1/2)= 7m -2
Keith’s work is shown below. What mistake did Keith make?
-40 - 6m + 1 = 7m - 2
-39 - 6m = 7m -2
-39 = 13m - 2
-37 = 13m
-2 11/13 = m
What is the solution of the equation?
Answer:
-37=13m
Step-by-step explanation:
5. A television set is sale at P13,499 in cash or on installment terms, P2,500 each
month for the next 6 months at 9% compounded monthly. If you would be the
buyer what would you prefer cash or installment?
If I were the buyer, I would prefer cash payments to paying in instalment.
In order to determine which payment method I would prefer, I would have to determine the future value of the payment in instalment terms.
The formula for calculating future value = A (B / r)
B = [(1 + r)^n] - 1
P2,500 x (1.09^6 - 1) / 0.09 = P18,808.34
Paying in instalments is more expensive.
To learn more about future value, please check: https://brainly.com/question/14640433
Jackie has $250 in her bank account and makes $25 every time she babysits. Write an expression in simplest form representing how much Jackie has in her account after babysitting t times
Answer:
250+25t=m
Step-by-step explanation:
t is the number of times she babysits and m is the amount of money overall.
Write and solve a proportion to answer the question. 3/4 is 75% of what number?
Answer:
so basically I think it is
¾ = 75%
x = (¾)/75% = (¾)/0.75 = 0.75/0.75 = 1
Step-by-step explanation:
if I am wrong I am so so very sorry
What is 7300 rounded to the nearest hundred?
Select the statement that describes a unit rate. Javon read 1 book. Javon is running 3 miles. Javon has 4 balls and 1 bat. Javon is bicycling 7 miles per hour.
Answer:
The last one
Step-by-step explanation:
Do anyone knows it? X x 5 x y
Answer:
it is 5xy........................
Answer:
so X x 5 x y
that would equal 5xy
hope this helped
Step-by-step explanation:
How many unique codes are possibly formed from two characters, where the first character can be 5 to 8, and the second character can be B to D?
Answer:I think irs 3
Step-by-step explanation:
You know me triple og gone to pien
1/1-cos x
+
1/1+cos x
Answer:
2 csc^2 x
Step-by-step explanation:
using a common denominator, that is
((1+cosx)+(1-cosx))/(1-cos^2c) = 2/sin^2x
Answer:
sin^2x
Step-by-step explanation:
(1+cosx)(1-cosx)
Difference of squares
1-cos^x
Pythagorean identity
sin^2x
If a confidence interval is given from 43.83 up to 61.97 and the mean is known to be 52.90, what is the margin of error?
Answer:
error is 9.07
Step-by-step explanation:
lemme know if its wrong
a baseball team wins 45% what fraction of the games do they win
Answer:
= 9/20
Step-by-step explanation:
45% = 45/100
= 0.45
= 0.45/1 × 100/100
= 45/100
= 9/20
Is 3 1/2 cups more or less than 1 liter? Explain your reasoning. (Note: 1 cup ≈ 236.6 milliliters)
Answer:
no you need about 4.2 cups for a liter
Step-by-step explanation: