Answer:
Let x represent: the price per lime.
Let y represent: the price per avocado.
System: 6*x + 2*y = $7.50
2*x + y =$3.00
Solution: x = $0.75 y = $1.50
Step-by-step explanation:
Here we have two variables, x and y.
Let's take x = price per lime, and y = price per avocado.
We know that when he bought 6 limes and 2 avocados he paid $7.50, so we can write this as:
6*x + 2*y = $7.50
And we also know that when he bought 2 limes and 1 avocado, he paid $3.00
2*x + 1*y = $3.00
Then we have a system of equations:
6*x + 2*y = $7.50
2*x + y =$3.00
Now we want to solve this system,
The first step is isolating one of the variables in one of the equations, let's isolate y in the second equation:
y = $3.00 - 2*x
Now we can replace this into the other equation:
6*x + 2*($3.00 - 2*x) = $7.50
6*x + $6.00 - 4*x = $7.50
$6.00 + 2*x = $7.50
2*x = $7.50 - $6.00 = $1.50
x = $1.50/2 = $0.75
now we can find the value of y.
y = $3.00 - 2*x = $3.00 - 2*$0.75 = $1.50
The diameter of the Sun is approximately 1,392,000,000 meters. What is this length
expressed in scientific notation
Answer:
1392 x 10 m
Step-by-step explanation:
Answer:
1.392 x 10⁹ m
Step-by-step explanation:
when you put numbers in scientific notation, there is one (1) non-zero number before the decimal
1.392
now count how many place you would have to move the decimal to the right in order to make 1,392,000,000
9 place
this means your second half looks like x 10⁹
now put it all together
1.392 x 10⁹ m
Solve the problem.
7/8 - 6/7 =
Answer:
1/56
Step-by-step explanation:
Answer:
1/56
Step-by-step explanation
First, find the common denominator
8 x 7 = 56
7 x 8 = 56
Your new equation is now:
7/56 - 6/56 = 1/56
Rufus collected 18 pounds of
aluminum cans to recycle. He
plans to collect an additional 2
pounds each week. He wants to
collect a total of 42 pounds of
aluminum cans. Let x represent
the number of weeks Rufus
collects aluminum cans.
Answer:
12
Step-by-step explanation:
collected can=18pound
total can to collect=42
collected can per week=2
now,
42-18 =24
so, remaining cans to collect is 24pound
and,
24/2
=12
so, Rufus have to collect for 12 weeks for 42pound of cans in total
The set of ordered pairs (-1, 8), (0, 3), (1, -2), and (2. -7) represent a function. What is the range of the function?
{x x=-1, 0, 1, 2}
fy: y=-7, -2, 3, 8}
{x: x= -7, -2,-1, 0, 1, 2, 3, 8}
{y: y = -7, -2,-1, 0, 1, 2, 3, 8}
Answer:
B
Step-by-step explanation:
got it right on edg
Answer:
B
Step-by-step explanation:
Just got it correct on Edge!!!!!
For a fundraiser the sixth graders have 288 bags of popcorn to sell. There are 3 sixth- grade classes. If each class sells an equal number of bags, how many bags of popcorn does each class sell?
Answer:
96
Step-by-step explanation:
288 divide by 3
Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong and earned an additional 10 points for answering a bonus question correctly. How many points did Ned receive or lose overall?
Answer:
86 is his final grade. He lost 24 points and gained 10 points .
Step-by-step explanation:
There are 25 questions total. Assuming that answering all 25 questions correctly earns you a 100.
What is the equation that represents the scenario?
O y = x + 5
O y = 5x
O y = 3x
O y = x + 15
Answer:y=5x
Step-by-step explanation:
B
Answer:
B. y=5xHave a good day! :) :) :)
Can someone help me ? Its due today please
Answer:
x=3
y=5
Step-by-step explanation:
3x+2y=19
- 2x+2y=16
_____________
x=3
3(3)=9
19-9=10
10÷2=5
y=5
Answer:
x=3
y=5
Step-by-step explanation:
Method 1 ; Substitution Method
[tex]3x + 2y =19\\2x+2y=16\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:3x+2y=19:\\\quad x=\frac{19-2y}{3}\\\\\mathrm{Subsititute\:}x=\frac{19-2y}{3}\\\begin{bmatrix}2\times \frac{19-2y}{3}+2y=16\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{38+2y}{3}=16\end{bmatrix}\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{38+2y}{3}=16:\quad y=5\\\\\mathrm{For\:}x=\frac{19-2y}{3}\\\\Substitute\:y\:= \:5\\x=\frac{19-2\times\:5}{3}\\\\\frac{19-2\times\:5}{3}=3\\\\x=3,\:y=5[/tex]
Method 2 : Elimination method
[tex]\begin{bmatrix}3x+2y=19\\ 2x+2y=16\end{bmatrix}\\\\\mathrm{Multiply\:}3x+2y=19\mathrm{\:by\:}2\:\\\mathrm{:}\:\quad \:6x+4y=38\\\\\mathrm{Multiply\:}2x+2y=16\mathrm{\:by\:}3\:\\\mathrm{:}\:\quad \:6x+6y=48\\\\\begin{bmatrix}6x+4y=38\\ 6x+6y=48\end{bmatrix}\\\\6x+6y=48\\-\\\underline{6x+4y=38}\\2y=10\\\\\begin{bmatrix}6x+4y=38\\ 2y=10\end{bmatrix}\\\\\mathrm{Solve}\:2y=10\:\mathrm{for}\:y:\quad y=5\\\mathrm{For\:}6x+4y=38\mathrm{\:plug\:in\:}y=5[/tex]
[tex]\mathrm{Solve}\:6x+4\times\:5=38\:\mathrm{for}\:x:\quad x=3\\\\x=3,\:y=5[/tex]
The president of Doerman Distributors, Inc., believes that 30% of the firm's orders come from first-time customers. A random sample of 150 orders will be used to estimate the proportion of first-time customers.Required:a. Assume that the president is correct and p = 0.30. What is the sampling distribution of p bar for this study?b. What is the probability that the sample proportion p bar will be between 0.20 and 0.40?c. What is the probability that the sample proportion will be between 0.25 and 0.35?
Answer:
Step-by-step explanation:
p = .3
n = 150
p(bar ) = 1 - p = .7
[tex]\sigma_p=\sqrt\frac{p(1-p) }{n} }[/tex]
[tex]\sigma_p=\sqrt\frac{.3(1-.3) }{150} }[/tex]
=.037
b )
P ( .2 <p<.4 ) = P [ (.2 - .3) / .037 < z < ( .4 - .3 ) / .037 ]
= P [ (-2.7 < z < +2.7 ]
= .9965-.0035
= .993
c )
P ( .25 <p<.35 ) = P [ (.25 - .3) / .037 < z < ( .35 - .3 ) / .037 ]
= P [ (-1.35 < z < +1.35 ]
= .9115 - .0885
= .823
Can anyone answer these? (BRAINLIEST)
Answer:
55, 116, and 120
Step-by-step explanation:
5. a. alternate exterior b. 55
6. a. corresponding b. 116
7. a. alternate interior b. 120
I haven't done this kinda math in a while, but im positive it's right. Good luck! :)
Find the area of a right triangular region whose sides containing the right angles are 20m and 15m.
Answer:
Step-by-step explanation:
You have everything you need to find the area directly
A = 1/2 * b * h
b = 20
h = 15
Area = 1/2 * 20 * 15
Area = 150 m^2
Choose the equivalent ratio for 6:7
a
36:42
b
42 to 36
c
3:4
d
2:18
Sorry for the late answer, but it's A.
Explanation 6 times 6 equals 36, and 7 times 6 equals 42.
Brainiest?
what is the answer
Answer:
The answer is C.
Step-by-step explanation:
On each unit go left 4 spots and down 3 spots.
Test Review that I cannot understand
Answer:
I will help you with the first one
Step-by-step explanation:
x= -3 -2 -1
y= -4 -3 -2.59
Simplify each expression . Justify each step . (6^7) (5^3 +2) (2- 2)
Answer:
0
Step-by-step explanation:
Start with exponents inside parentheses
(279936)(125+2)(2-2)
Then solve inside parenthesis
(279936)(127)(0)
Then Multiply
0
Anything times zero is zero
of the following options, what could be a possible first step in solving the equation x + 6 = 3x -2
Step-by-step explanation:
X + 6 = 3x - 2
Bringing like terms on one side
6 + 2 = 3x - x
8 = 2x
8/2 = x
4 = x
Answer:
subtracting 6 from both sides
Step-by-step explanation:
how would three billion nine hundred six thousand twelve be written in standard form 3976012 3000976012 3009760012
Answer:
30906012
Step-by-step explanation:
Which symbol correctly compares the two fractions?
Use >, <, or =.
Enter your answer in the box.
5/12
3/6
Answer:
5/12<3/6
Step-by-step explanation:
3/6 is 1/2 and 5/12 is smaller than 1/2
Answer:
5/12 < 3/6
Step-by-step explanation:
3/6 is equivalent to 6/12 because 3 times 2 is 6 and 6 times two is 12. 6 (the new numerator of 3/6) is greater than the numerator of 5/12- 5. 5<6. They have the same denominator so 5/12< 6/12 which is the same as 5/12 < 3/6. Hope that helped!
Which of the following is the midpoint of a line segment with endpoints -4 and 7? Options are -3 0 1.5 5.5 thanks <3
Answer:
1.5
Step-by-step explanation:
Answer:
1.5
Explanation:
-4 -3 0 1.5 5.5 7
this is because the median is 1.5 and if you cross out every number from each number u'll find urself with 1.5.
ex:
-4 -3 -2 -1 0 1 2 3 4 5 6 7
-3 -2 -1 0 1 2 3 4 5 6
-2 -1 0 1 2 3 4 5
-1 0 1 2 3 4
0 1 2 3
1 2
and in between 1 and 2 is 1.5 so 1.5 is ur answer
i hope this helped <3
I solved it but I am getting 30 % another friend got 40% please explain to me how and which is right. work: 4/10 =.4 .... .4 x 100 = 40 % Formula percentile over rank
Answer: C) 40th percentile
=========================================================
Explanation:
The original list is {827,691,616,740,651,772,868,557,891,937} which has 10 items inside it.
The list sorts to {557,616,651,691,740,772,827,868,891,937}
We see that there are 3 items below 691. So one way to calculate the percentile is to do 3/10 = 30% like you did for your answer.
However, the term "percentile" is ambiguous as there is another way to calculate percentile. The other method involves the term in question. So we have 4 terms in the sublist {557,616,651,691} which is how your friend got 4/10 = 40%
It's unfortunate why this term is not well defined. Ideally your teacher would state instructions on how to deal with this dilemma, or post a formula to use.
The good news is at least "30th percentile" isn't listed as an answer choice, so we can rule out the first method above.
which inequality represents the following situation 3/5×5 less than a number is no more than 27
Answer:
Step-by-step explanation:
what are two fractions whose product is greater than 1.
Answer:
2/3 x 4/2
Step-by-step explanation:
A bicycle path divides a rectangular park. The path makes a 42° angle with the top border of the park, so mZ1 = 42°. What is m/2? How do you know?
Answer: 0.5 meters because m=meters and meters/2 = 0.5
The required measure of the angle m∠2 is 138°.
Given that,
A bicycle path divides a rectangular park. The path makes a 42° angle with the top border of the park, so mZ1 = 42°. What is m/2 is to be determined.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
According to the question,
Let the measure be x,
Now the bicycle path divides the rectangular park,
So,
m∠1 + m∠2 = 180
42 + x =180
x = 180 - 42
x = 138°
Thus, the required measure of the angle m∠2 is 138°.
learn more about rectangles here:
brainly.com/question/15019502
#SPJ2
Evaluate the expression when a=-7 and x=2.
a-6x
.
х
5
?
Answer: 15
-7 - 6 - 2
This is the same as 7 + 6 +2, but negative due to the sign.
So, -15.
Answer:
-19
Step-by-step explanation:
a-6x
(-7)-6(2)
-7-12
-19
The scale of a map says that 4 cm represents 5 km.What is the actual number of kilometers that is represented by 5 centimeters on the map?
Hey there! I'm happy to help!
We see that 4 cm represents 5 km. We want to see how much 5 cm represents.
To get from 4 cm to 5 cm, you multiply by 5/4. So, we multiply our 5 km by 5/4 to see how kilometers are represented by 5 centimeters on the mask.
5(5/4)=6 1/4
Therefore, the number of km represented by 5 cm on the map is 6 1/4 km.
Have a wonderful day! :D
In a regression analysis if SST = 4500 and SSE = 1575, then the coefficient of determination is:___________.A) 0.35B) 0.65C) 2.85D) 0.45
Answer:
B) 0.65
Step-by-step explanation:
In a regression analysis, the formula for the coefficient of determination (R²)=
1 - SSE/SST
SSE = Sum of squared of errors
SST = Total sum of squares
From the above question,
SST = 4500
SSE = 1575
Coefficient of determination (R²) = 1 - 1575/4500
= 1 - 0.35
= 0.65
Therefore, the coefficient of determination = 0.65
The coefficient of determination of the given parameter is (b) 0.65
The given parameters are:
[tex]SST = 4500[/tex] --- the total sum of squares
[tex]SSE = 1575[/tex] --- the sum of squares error
The coefficient of determination (R²) is calculated using the following formula
[tex]R^2 = \frac{SST - SSE}{SST}[/tex]
Substitute values for SST and SSE
[tex]R^2 = \frac{4500 - 1575}{4500}[/tex]
Simplify the numerator
[tex]R^2 = \frac{2925}{4500}[/tex]
Divide the fraction
[tex]R^2 = 0.65[/tex]
Hence, the coefficient of determination is (b) 0.65
Read more about coefficient of determination at:
https://brainly.com/question/17031457
How do u calculate these numbers from least to greatest 0.02, 0, 6.98, 2 1/16, 2.2, 6.89, 2.01
Answer:
0, 0.02, 2.01, 2 1/16, 2.2, 6.89, 6.98
Step-by-step explanation:
First thing is to turn 2 1/16 into decimal form which is 2.0625
Then look at the digit to the left of the decimal, 0 is the least, then 2, then 6
what is the area in square meters of 6 triangles
unit rate of the given quantities
16 skiers on 4 boats
Answer: 16/4
Step-by-step explanation: all you do is convert it into a fraction
The table of values below represents a linear function and shows Marco’s progress as he is pumping gas into his car. What is the output for the initial value? Gas in Marco’s Car Seconds Spent Pumping Gas 0 12 24 36 48 Gallons of Gas in Car 3 5 7 9 11 0 gallons 2 gallons 3 gallons 6 gallons
Answer:
C
Step-by-step explanation:
The initial value obtained using the slope-intercept relation is 3 gallons.
We need to obtain the rate of change which gives the amount of gas entering into his car per second :
Rate of change = Rise / RunRate of change = - 11 - 3) / (48 - 0)
Rate of change = 8/48 = 1/6 gallons
Using the slope intercept relation :
y = bx + c b = slope ; c = initial amount of gasChoosing any pair of (x, y) point on the table :
(0, 3)
3 = 1/6x + c
3 = 1/6(0) + c
3 = 0 + c
c = 3
Therefore, the initial value is 3 gallons.
Learn more : https://brainly.com/question/23105648
