Answer:
90 gallons premium gas
230 gallons regular gas
Step-by-step explanation:
We can use the given information to form a system of equations.
First, let's set the variables:
Regular gas: r
Premium gas: p
Throughout the entire day, they sold 320 gallons of r and p combined.
r+p=320
Now, regular gas sells for 2.30 per gallon, which can be written as 2.30r
premium can be shown similarly as 3.00p. After all the gallons they sold, they got 799 in total.
2.30r + 3.00p = 799
As a system of equations, it can be written like this...
r+p=320
2.30r + 3.00p = 799
Now solve. (I won't explain much of the steps here but I'll show it. Comment questions if you have any, and I'll try to answer them.)
r=320-p
2.30r + 3.00p = 799
2.30(320-p)+3.00p=799
736+0.7p=799
0.7p=63
p=90 gallons of premium gas
Now we can solve for regular by just plugging in 90 gallons premium into the top equation.
r+p=320
r+90=320
r=230 gallons of regular gas
check work.
230(2.30)+90.0(3.00)=799
529+270=799
799=799
Solve for x: 2x – 1] + 5 < 13 please send help
Answer:
Step-by-step explanation:
2|x-1|+5 < 13
2|x-1| < 8
|x-1| < 4
-4 < x-1 < 4
-3 < x < 5
Emily thinks the perfect tomato sauce has 8 cloves of garlic in every 500 mL, of sauce. Raphael's tomato sauce has 121 cloves of garlic in every 900 mL of sauce. What will Emily think of Raphael's tomato sauce? Choose 1 answer: Choose 1 answer: (Choice A) A It is too garlicky. (Choice B) B It is not garlicky enough. (Choice C) C It is perfect.
Answer:
A
Step-by-step explanation:
Let's find the ml per garlic for each sauce. Emily's has 1 clove of garlic for 62.5 ml. Raphael's has 1 clove of garlic for 7.438... ml. So, A, it will be too garlicky.
-8 + (-15)
Evaluate this expression
Answer:
-23
Step-by-step explanation:
-8+(-15) means that you are subtracting 15 from -8. So you end up with -8-15=-23.
A line contains the piont (4,5) and is perpendicular to a line with a slope of -2/3. Write an equarion of the line satisfying the given conditions. Write the answer in slope-intercept form
Answer:
[tex]y=\frac{3}{2}x-3.5[/tex] or, preferably, [tex]y=\frac{3}{2}x-\frac{7}{2}[/tex]
Step-by-step explanation:
First is to find the perpendicular slope. In this case, you swap the numerator and denominator and then multiply that fraction by -1.
In this case, -2/3's inverse slope is 3/2.
Now, the initial y=3/2 passes through 7.5,5
So, you must subtract 3.5 from that to make it pass through 4,5.
In this way, you get the answer in slope-intercept form.
Answer:
y = [tex]\frac{3}{2}[/tex] x - 1
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex] , then
y = [tex]\frac{3}{2}[/tex] + c ← partial equation in slope- intercept form
To find c substitute (4, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = [tex]\frac{3}{2}[/tex] x - 1 ← equation of line
if (ax+b)(x-3) = 4x^2+cx-9 for all values of x, what is the value of c? a) -9 b) -6 c) 6 d) 9
Answer:
c=-9
Step-by-step explanation:
Hello,
[tex](ax+b)(x-3)=ax(x-3)+b(x-3)=ax^2-3ax+bx-3b\\\\=ax^2+(b-3a)x+(-3b) \\\\\text{And it should be equal to } 4x^2+cx-9[/tex]
We can identify the like terms so:
a = 4
b-3a = c
3b = 9 <=> b = 3
So c = 3 - 3*4 = 3-12 = -9
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The MCAT is the admission exam that medical schools use as one of the criteria for accepting students. The exam is based on a scale of 0-45. The following data shows the MCAT scores for nine students.
32 36 29 31 30 35 34 26 30
The 35th percentile of this data set is:________
a. 31
b. 32
c. 31.5
d. 30
Answer:
d. 30
Step-by-step explanation:
The computation of the 35th percentile of this data set is shown below:
Before that first we have to series the number in ascending number
S. No Numbers
1 26
2 29
3 30
4 30
5 31
6 32
7 34
8 35
9 36
Now use the formula
Here n = 9
Percentile = 100
[tex]= \frac{35(9 + 1)}{100} \\\\[/tex]
= 3.5th
= 3th + 0.5 (4th - 3th)
= 3th + 0.5 (30 - 30)
= 3th + 0
= 30
donald is a taxi driver. for each ride in the taxi, the cost, c, is given by c = 500+130d, where c is in cents and d is the distance of the ride, in miles. what is the meaning of the value 500 in this equation? a) donald charges 500 cents per mile b) donald drives 500 customers per day c) donald charges at least 500 cents per taxi ride d) donald charges at most 500 cents per taxi ride
can u go to my page real quick and answer my question pls
i will rate you brainliest
Answer:
Option (2)
Step-by-step explanation:
In an arithmetic progression,
[tex]a_1,a_2,a_3.........a_{n-1},a_n[/tex]
First term of the progression,
a = [tex]a_1[/tex]
Common difference 'd' = [tex](a_2-a_1)[/tex]
Recursive formula for the sequence,
a = [tex]a_1[/tex]
[tex]a_n=a_{n-1}+d[/tex]
By applying these rules in the recursive formula,
[tex]a_1=\frac{4}{5}[/tex]
[tex]a_n=a_{n-1}+\frac{3}{2}[/tex]
Common difference 'd' = [tex]\frac{3}{2}[/tex]
Therefore, Option (2) will be the answer.
F(x)=x^2 what is g(x)
Answer:
stop spamming
Step-by-step explanation:
If the product of three identical numbers is 1000, find one of the number?
Answer:
10
Step-by-step explanation:
Three identical numbers whose product is 1000
10 * 10 * 10
For the partially complete factorization, find the other binomial which will complete the factorization n^2-8n-20=(n+2)(_____)
Answer:
(n-10)
Step-by-step explanation:
Jdjdjdhbejdudjkdff
Is the following polynomial or not
5xy^2+3x^2y-2x^2y^2
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Answer:
is a polynomial
Step-by-step explanation:
The expression is a sum of products.
Each product involves a numerical value and a product of variables to positive integer powers.
These meet the requirements for an expression to be a polynomial, so ...
the given expression is a polynomial
Solve for x -3x-3=-3(x+1)
Step-by-step explanation:
[tex] - 3x - 3 = - 3(x + 1) \\ - 3x - 3 = - 3x - 3 \\ - 3x + 3x = - 3 + 3 \\ 0 = 0[/tex]
Step 1: Use 3 to open the bracket
Step 2 : Collect like terms and simplify
Answer = 0
Evaluate the following expression
What do we use mathematical induction for?
proving statements!
it's the very definition of it
Monique makes $11 per hour delivering pizzas. Monique works Monday
through Friday, and on average she earns $20 a day in tips. If Monique
made no less than $450 for one week, find an inequality for the number
of hours she worked
Answer:
x > 39 hours
Step-by-step explanation:
Let x be the number of hours she worked.
11x - is how much she would get paid for working for x hours
11x + 20 > 450
11x > 430
x > 39 hours
Hope that helped!!! k
Help me please! thanks
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Answer:
5. (a) Polygon Angle-Sum Theorem
6. (c) 360°
Step-by-step explanation:
5. The sum of the angles is shown as 540°. The theorem that tells you the sum of angles in an n-gon is the "polygon angle sum theorem."
__
6. The sum of exterior angles around any (convex) polygon is 360°. (This is where the angle-sum theorem comes from.)
According to the website www.costofwedding, the average cost of flowers for a wedding is $698. Recently, in a random sample of 40 weddings in the U. S. it was found that the average cost of the flowers was $734, with a standard deviation of $102. On the basis of this, a 95% confidence interval for the mean cost of flowers for a wedding is $701 to $767.
Choose the statement that is the best interpretation of the confidence interval.
I. That probability that the flowers at a wedding will cost more than $698is greater than 5%.
II. In about 95%of all samples of size 40,the resulting confidence interval will contain the mean cost of flowers at weddings.
III. We are extremely confident that the mean cost of flowers at a wedding is between $701and $767
A) II only
B) I only
C) III only
D) II and III are both correct
Answer:
D) II and III are both correct.
Step-by-step explanation:
The Probability distribution is the function which describes the likelihood of possible values assuming a random variable. The cost of flowers for a wedding is $698. The 95% of all samples of size is 40 and the confidence interval will be mean cost of flowers at wedding. There is confidence that mean cost of wedding flowers is between $701 to $767.
I need help in math please, if you can
Answer:
Step-by-step explanation:
400*e^(.09*3)
$523.97
answer is b
Answer: Option B
$523.97
Explanation:
= 400×e^(0.09×3)
= $523.97
Must click thanks and mark brainliest
A blue die and a red die are thrown. B is the event that the blue comes up with a 6. E is the event that both dice come up even. Write the sizes of the sets |E ∩ B| and |B|a. |E ∩ B| = ___b. |B| = ____
Answer:
Size of |E n B| = 2
Size of |B| = 1
Step-by-step explanation:
I'll assume both die are 6 sides
Given
Blue die and Red Die
Required
Sizes of sets
- [tex]|E\ n\ B|[/tex]
- [tex]|B|[/tex]
The question stated the following;
B = Event that blue die comes up with 6
E = Event that both dice come even
So first; we'll list out the sample space of both events
[tex]B = \{6\}[/tex]
[tex]E = \{2,4,6\}[/tex]
Calculating the size of |E n B|
[tex]|E n B| = \{2,4,6\}\ n\ \{6\}[/tex]
[tex]|E n B| = \{2,4,6\}[/tex]
The size = 3 because it contains 3 possible outcomes
Calculating the size of |B|
[tex]B = \{6\}[/tex]
The size = 1 because it contains 1 possible outcome
Which one is correct? in need of large help
Answer:
Option C. x + 12 ≤ 2(x – 3)
Step-by-step explanation:
From the question, we obtained the following information:
x + 12 ≤ 5 – y .......(1)
5 – y ≤ 2(x – 3) ....... (2)
To know which option is correct, do the following:
From equation 2,
5 – y ≤ 2(x – 3)
Thus, we can say
5 – y = 2(x – 3)
Now, we shall substitute the value of 5 – y into equation 1 as shown below:
x + 12 ≤ 5 – y
5 – y = 2(x – 3)
x + 12 ≤ 2(x – 3)
From the above illustration, we can see that if x + 12 ≤ 5 – y and 5 – y ≤ 2(x – 3), then x + 12 ≤ 2(x – 3) must be true.
Option C gives the correct answer.
A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft) and the quality of the resulting lawn. Eight similar plots of land are selected and each is planted with a particular density of seed. One month later the quality of each lawn is rated on a scale of 0 to 100. The sample data are given below where x denotes seed density, and y denotes lawn quality.x 1 1 2 3 3 3 4 5y 30 40 40 40 50 65 50 50The sample linear correlation coefficient is r=0.600. At the 1% significance level, do the data provide sufficient evidence to conclude that seed density and lawn quality are positively linearly correlated?
Answer:
I think it -1.50 to 10.58
Step-by-step explanation:
In the given diagram if AB || CD, ∠ABO = 118° ∠BOD = 152° then find the value of ∠ODC. please help !!!!!!
On May 1st, Jay’s mom gives him 1 cent. Each day, she pays him double the amount she paid the day before. How much money did Mike earn in total by May 15?
Answer: $1.83
Step-by-step explanation:
1. Solve this problem: 1+2+4+6+8+10+12+14+16+18+20+22+24+26. There are 15 numbers for 15 days. You want to solve this because each day is doubled. For example: first day is 1 cent, second day is 2 cents, third day is 4 cents, and so on.
2. Answer is 183 cents.
3. Convert 183 cents to dollars.
4. Your answer is $1.83.
Hope it helps!
Answer:
$1.83.
You start with one cent, and add two more cents after that day.
What is the value of 1/6 + 1/12 + 2/6
Answer:
7/12
Step-by-step explanation:
1/6 +1/12+2/6
=1×2/6×2 +1/12+2×2/6×2
=2/12+1/12+4/12
final answer is
= 7/12
1/6 + 1/12 + 2/6
= 2/12 + 1/12 + 4/12
= (2 + 1 + 4)/12
= 7/12
Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 3 trips, and for each trip Lennox gets 300 dollars. On a single trip, a truck delivers 50 packs, and each pack contains 12 kilograms of apples. Overall, Lennox sells 4500 dollars worth of apples in a week. How much does Lennox get for a single kilogram of apples?
Answer:
$0.50
Step-by-step explanation:
Each trip transports 50 packs at 12 kg each, for a total of 600 kg. That trip nets $300 in income.
Lennox gets paid ($300)/(600 kg) = $0.50/kg, or 50¢ for 1 kg of apples
Answer:5 trucks
Step-by-step explanation: in kahn it’s 4500 divided by 900 because she makes 300 a trip which makes 900$ a truck
The first step in a mathematical induction proof is to divide by n. (True or False).
Answer:
Step-by-step explanation:
Hello, this is false.
The first step of a mathematical induction proof is to prove the statement for the initial value, which is most of the time for n = 0 or n = 1.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Find the equation of the tangent line at the point (0,1) of the graph of the function f(x) = x^3 - 2x + 1 ?
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Answer:
y = -2x +1
Step-by-step explanation:
The derivative of the function is ...
f'(x) = 3x^2 -2
so the slope at x=0 is f'(0) = -2. In slope-intercept form, the equation of the tangent line is ...
y = -2x +1
Please help me with this
Answer:
Median; 60
Step-by-step explanation:
For a data plot as shown in the question above, one easier measure of center that can be used for the data set represented is the median.
From the dot plot, we can easily pinpoint the exact median, which can be used as a measure of center.
There are 11 data points represented on the dot plot by 11 dots. The median, that is the median value of the data set, would be the 6th value represented by the 6th dot on the dot plot.
Thus, the middle value is 60.
60 is the median of the data set.
The right triangle on the right is a scaled copy of the right triangle on the left. Identify
the scale factor. Express your answer as a whole number or fraction in simplest form.
3
15/4
Answer
Submit Answer
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Answer:
5/4
Step-by-step explanation:
The ratio of long sides is ...
right/left = 5/4
The scale factor is 5/4.