Answer:
(15, 12)
Step-by-step explanation:
Let's generate two systems of equations that fit this scenario.
Number of trips to the airport = x
Number of trips from the airport = y
Total number of trips to and from the airport = 27
Thus:
[tex] x + y = 27 [/tex] => equation 1.
Total price for trips to the Airport = 14*x = 14x
Total price of trips from the airport = 7*y = 7y
Total collected for the day = $294
Thus:
[tex] 14x + 7y = 294 [/tex] => equation 2.
Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.
7 × [tex] x + y = 27 [/tex]
1 × [tex] 14x + 7y = 294 [/tex]
Thus:
[tex] 7x + 7y = 189 [/tex] => equation 3
[tex] 14x + 7y = 294 [/tex] => equation 4
Subtract equation 4 from equation 3
-7x = -105
Divide both sides by -7
x = 15
Substitute x = 15 in equation 1
[tex] x + y = 27 [/tex]
[tex] 15 + y = 27 [/tex]
Subtract both sides by 15
[tex] y = 27 - 15 [/tex]
[tex] y = 12 [/tex]
The ordered pair would be (15, 12)
The expression 36 ÷ 6 · 2 + 1 is equal to _____.
Step-by-step explanation:
13 is the answer is the you
Answer:
13
Step-by-step explanation:
The expression 36 ÷ 6 · 2 + 1 is equal to 13!
what is the slope of the line that passes through the points (5 -11) and (-9 17)
Answer:
A. -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (5, -11)
Point (-9, 17)
Step 2: Find slope m
Substitute: [tex]m=\frac{17+11}{-9-5}[/tex]Add/Subtract: [tex]m=\frac{28}{-14}[/tex]Divide: [tex]m=-2[/tex]how to solve 9x-2 × 27x=3
[tex] { {9}^{} }^{ x - 2 } .27 {}^{x} = 3[/tex]
Answer:
x = 1
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
Note that 9 = 3² and 27 = 3³ , thus
[tex]9^{x-2}[/tex] × [tex]27^{x}[/tex]
= [tex](3^2)^{x-2}[/tex] × [tex](3^3)^{x}[/tex]
= [tex]3^{2x-4}[/tex] × [tex]3^{3x}[/tex]
= [tex]3^{(2x-4+3x)}[/tex]
= [tex]3^{5x-4}[/tex] , then
[tex]3^{5x-4}[/tex] = [tex]3^{1}[/tex]
Since the bases on both sides are equal, equate the exponents
5x - 4 = 1 ( add 4 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
y=64
Step-by-step explanation:
3y /4 =48
( 3y 4 )*(4)=(48)*(4)
3y=192y
3y/3=192/3 =y=64
What is the equation in standard form of the line Y equals 1 / 9 x + 5
Answer:
1/9x - y = -5
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define equation
Slope-Intercept Form: y = 1/9x + 5
Step 2: Find Standard Form
Subtract 1/9x on both sides: -1/9x + y = 5Multiply -1 on both sides: 1/9x - y = -550 points and brainliest help pls
Answer:
Large bucket
Step-by-step explanation:
Sugar water isnt a real life factor in dye. It just makes it sweeter.
But, since it has triple the dye, it has more and therefore darker.
Hope this helps plz hit the crown ;D
(8x+2+(-9x+6) combine terms with varibiles plz help
Answer:
-x + 8
General Formulas and Concepts:
Algebra I
Combining like termsStep-by-step explanation:
Step 1: Define expression
(8x + 2) + (-9x + 6)
Step 2: Simplify
Combine like terms (x): -x + 2 + 6Combine like terms (Z): -x + 8What is the solution to the system of linear equations graphed below? On a coordinate plane, 2 lines intersect at (3.5, negative 4). (3 and one-half, negative 4) (Negative 4, 3 and one-half) (0, 3) (0, negative 4)
Answer:
Step-by-step explanation:
the answer is C just did the quiz
Answer:
its D i got it right on edge if there are any probs just tell me and i ll edit mark me brainleiest and hart and five stars please
Step-by-step explanation:
What is the value of x? Enter your answer in the box. x =
Z=24 Y=5 degrees X=?
Answer:
t⅝ a femal for the rest and I have no
At a grocery store, the price of 3 cans of soup is $6.90. at this rate, how much would 10 cans of soup cost
Answer:
$23
Step-by-step explanation:
At a grocery store 3 cans of soup cost $6.90
3 cans = 6.90
1 can= 6.90/3
1 can = $2.3
Therefore the cost of 10 cans can be calculated as follows
1 can= $2.3
10 cans= 10×2.3
= $23
Hence 10 cans will cost $23
Solve for w:
(w-4/9)(-2/3)= -4/5
What is the value of y?
39
34
16
20
one of those number is the answer
Answer:
20
Step-by-step explanation:
we see here that angle RPN is 180 degrees. SPM is 90 degrees so
angle RPS + angle SPM + angle MPN = 180 degrees
(4y - 10) + 90 + y = 180
(4y - 10) + y = 90
5y - 10 = 90
5y = 100
y = 20
Which of the following equations represents the graph shown?
A.)f( x) = - x - 2
B.)f( x) = x + 2
C.)f( x) = - x + 2
Answer:
C
Step-by-step explanation:
Looking at the graph, we can see that the graph crosses the y-axis at y=2.
Hence, our y-intercept should be 2.
Therefore, we can eliminate A.
We also notice that the graph is downwards sloping.
Therefore, our slope is negative.
So, we can eliminate B.
Therefore, our answer must be C.
Answer:
C
Step-by-step explanation:
I have the same question and my answer was right
you have 3 bottles of lotion each bottle contains 3.78 mL 4.52 mL and 2.72 mL of lotion how much lotion do you have in total.
Answer:
11.02
Step-by-step explanation:
use a calculator? add the 3 numbers up
Select the correct answer what is the range of the function shown in the graph?
Answer:
In the step by step
Step-by-step explanation:
Graph 1 : k(x)=(1/4)^x
Graph 2: f(x)=-(1/4)^x
Graph 3: g(x)=4^x
Graph 4: h(x)=-4^x
2.81551 nearest hundredth
2.82 is the nearest hundredth.
Hope this helps.
A soccer field is 180 feet wide and 240 feet long. Coach Smith wants them to run from one corner to the other corner diagonally across. What is the distance that Coach Smith wants them to run? (Round to the nearest foot)
Answer:
300ft
Step-by-step explanation:
Pythagorean Theorem
180²+240²=c²
32400+57600=c²
90,000=c²
√90,000=c
300=c
4.(03.02)
If g(x) = 3(x - 2), find the value of x if g(x) = 6. (2 points)
12
hy 2.6
Answer:
The value of x = 4 if g(x) = 6
Step-by-step explanation:
Given the function
[tex]g(x) = 3(x - 2)[/tex]
as
[tex]g(x) = 6[/tex]
so putting the value of [tex]g(x) = 6[/tex] in the function
[tex]g(x) = 3(x - 2)[/tex]
[tex]6 = 3(x-2)[/tex]
Switch sides and divide both sides by 3
[tex]\frac{3\left(x-2\right)}{3}=\frac{6}{3}[/tex]
[tex]x-2=2[/tex]
[tex]x=4[/tex]
Therefore, the value of x = 4 if g(x) = 6
a number that multiplies to 30 and adds up to 13
Answer:
3 and 10
Step-by-step explanation:
Which deal is a better buy? How do you know? True-Mart is advertising a back-to-school sale on pencils. A pack of 30 sells for $7.97, whereas a 12 pack of the same pencils cost $4.77
Answer:
a pack of 30 is a better deal
Step-by-step explanation:
you know because if you were to double 12 to get to 24 and doubled that same price it would cost more than 30 pencils and you would get less
Compare ratios and rates by finding equivalent ratios and rates with a common (select) . Make predictions by finding a common factor and multiplying by it.
Answer:
Second termCommon factorStep-by-step explanation:
Compare ratios and rates by finding equivalent ratios and rates with a common second term . Make predictions by finding a common factor and multiplying by it.
To compare ratios and rates favorably we need to find a common second term also to make predictions as well we need to find a common factor
I NEED HELP PLEASE!!!
Darlene wants to buy a sweater that originally cost $56. It is on sale for 40% off. Sales tax is 7.5%. What is the final price of the sweater with tax?
Group of answer choices
$58.80
$36.12
$31.08
$55.68
Answer:
$36.12
Step-by-step explanation:
56*40%=22.40 amount off
56-22.40=33.60 price of sweater
33.60*7.5%=2.52 tax amount
33.60+2.52=36.12 total amount
What is the value of the function at x = -2?
(a) y=-4
(b) y=0
(c) y=2
(d) y=3
Answer:
(d) y=3
Step-by-step explanation:
To find this, look on the plane where x=-2 and find where the line itersects. It intersects at 3, so the correct answer is y=3.
|2x-8| + 3 = 5 two solutions
Answer:
The two solutions are 5 and 3
Step-by-step explanation:
The equation of the absolute has two solutions because IxI = a means x = a and x = -a
Let us solve the question using this fact
∵ I2x - 8I + 3 = 5
→ Subtract 3 from both sides
∴ I2x - 8I + 3 - 5 = 5 - 3
∴ I2x - 8I = 2
By using the fact above
→ 1st solution
∵ 2x - 8 = 2
→ Add 8 to both sides
∴ 2x - 8 + 8 = 2 + 8
∴ 2x = 10
→ Divide both sides by 2 to find x
∴ x = 5
→ 2nd solution
∵ 2x - 8 = -2
→ Add 8 to both sides
∴ 2x - 8 + 8 = -2 + 8
∴ 2x = 6
→ Divide both sides by 2 to find x
∴ x = 3
∴ The two solutions are 5 and 3
geometry please help only if you know
1. Pick 1 or 2 Geometric Constructions to create (depending on point values) that add to 10 points.
2. You'll need paper (blank paper without lines is best, but you can do these on lined paper too), your compass, and straight edge.
3. Include any vocab for your construction.
4. Once you have completed the constructions, take a picture of your completed construction. This is how you will get your points this week!
By the way, this must be an actual construction made with your tools. I can definitely tell if you just try to draw something that looks right without using your tools!
Answer:
Bro just complete your project. That's just plagiarism.
Step-by-step explanation:
Sorry but the teacher WILL notice.
Helen spent $7.75 to purchase 23 snack-sized bags of chips c and pretzels p for a club meeting. The following system represents this solution.
{c+p=23
{0.25c+0.5p=7.75
How many of each type of snack did Helen buy?
Answer:
pretzels = 8
chips = 15
Step-by-step explanation:
{ c + p = 23
{ 1/4c + 1/2p = 7.75
Both sides * 4
c + 2p = 31
- c + p = 23
p = 31 - 23 = 8
pretzels = 8
chips = 15
A nursery owner buys 8 panes of glass to fix some damage to his greenhouse. The 8 panes cost $18.80. Unfortunately, breaks 3 more panes while repairing the damage. What is the cost of another 3 panes of glass?
Answer:
Step-by-step explanation:
The cost of another 3 panes of glass would be
Solution:
Given, Number of panes of glass bought = 8
Cost of 8 panes of glass =
Number of broken panes of glass = 3
We have to find the cost of 3 panes of glass
By unitary method, If 8 panes of glass costs , then the cost of one pane of glass will be as follows,
Therefore, for 3 panes of glass it would be
Unitary method:
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value. In essence, this method is used to find the value of a unit from the value of a multiple, and hence the value of a multiple.
what is 54.873015873 rounded to the nearest hundereth please help
Answer:
54.87
Step-by-step explanation:
In a multiple choice examination of 20 questions, four marks are given for each correct answers and one mark is deducted for each wrong answer. There is no penalty for not attempting a question. a candidate attempts "a" questions and get "c" correct. Write down, and simplify, an expression for the candidate's total mark in terms of "a" and "c".
Step-by-step explanation:
Total no. of questions = 20
Marks given for a correct answer = 4
Marks deducted for a wrong answer = 1
No. of questions attended by the candidate = a
No. of questions the candidate gets correct = c
No. of questions the candidate gets wrong = a - c
Marks obtained for correct answers = 4c
Marks deducted for wrong answers = 1 (a - c)
Total marks scored by the candidate =
Marks obtained for correct answers - Marks deducted for wrong answers
Total marks scored by the candidate = 4c - 1 (a - c)
= 4c - a + c
= 5c - a
if the function f(x)=3x^2-5 and has the domain {-4,-3,1,5}, what is its range?
A. {4, 76, 139, 220}
B. {-29, -23, 1, 25}
C. {-2, 22, 43, 70}
D. {-17, -14, -2, 10}
Course: Algebra 1 (American 9th Grade Lvl)