The price of a gallon of gasoline is $1.80. The price when Ryan's mother started driving was 1/4 of the current price. What was the price of gasoline when Ryan's mother started driving?$0.95
$0.45
$1.55
$2.05

Answers

Answer 1

Answer: $0.45 is 1/4 of the price when Ryan started driving

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Widget wonders produces widgets. they have found that the cost, c(x), of making x widgets is a quadratic function in terms of x.....the company also discovered that it costs $103. to produce 3 widgets, $163 to produce 7 widgets, and $328 to produce 12 find the total cost of producing 2 widgets

Answers

$c(x)=ax^2+bx+c \n \nc(3)=103 \nc(7)=163 \n c(12)=328 \n \na * 3^2+b * 3 + c=103 \na * 7^2 + b * 7 + c= 163 \na * 12^2 + b * 12 + c =328 \n \n9a+3b+c=103 \n49a+7b+c=163 \n144a+12b+c=328$

$\hbox{the first two equations:} \n9a+3b+c=103 \ \ \ \ \ |* (-1) \n49a+7b+c=163 \n \n-9a-3b-c=-103 \n\underline{49a+7b+c=163 \ \ \ \ \ } \n40a+4b=60 \ \ \ \ \ \ \ \ \ \ \ |/ 4 \n10a+b=15$

$\hbox{the second and third equation:} \n49a+7b+c=163 \ \ \ \ \ \ \ |* (-1) \n 144a+12b+c=328 \n \n-49a-7b-c=-163 \n\underline{144a+12b+c=328 \ \ } \n95a+5b=165 \ \ \ \ \ \ \ \ \ \ \ \ |/ 5 \n19a+b=33$

$\hbox{set up a new system of equations:} \n10a+b=15 \ \ \ \ \ \ \ \ |* (-1) \n19a+b=33 \n \n-10a-b=-15 \n\underline{19a+b=33 \ \ \ \ \ \ } \n9a=18 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 9 \na=2 \n \n10a+b=15 \n10 * 2+b=15 \n20+b=15 \ \ \ \ \ \ \ \ \ \ |-20 \nb=-5$

$49a+7b+c=163 \n49 * 2+7 * (-5)+c=163 \n98-35+c=163 \n63+c=163 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |-63 \nc=100 \n \n\hbox{the equation for the cost of maxing x widgets:} \nc(x)=2x^2-5x+100 \n \nc(2)=2 * 2^2-5 * 2+100=8-10+100=98$

The cost of producing 2 widgets is $98.

A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 3 isWhat is the probability of not spinning a 3?
Enter your answer as a fraction, in simplest form, in the box.

Answers

Answer:

8/9

Step-by-step explanation:

the probability of spinning 3 is 1/9 so just subtract with 1 or 9/9

Factor x2 − 8x + 9.Answer options:

A. (x-9)(x-1)
B. (x+9)(x+1)
C. Prime
D. (x+9)(x-1)

Answers

x^2 − 8x + 9

What two numbers when multiplied yield 9 but when added yield -8?

There are no such numbers.

Use the quadratic formula.

When 62 + 5y - 112 + 7y is simplified results is? *

Answers

Answer:

-50+12y

Step-by-step explanation:

62+5y-112+7y

62-112+5y+7y

-50+5y+7y

-50+12y

Solve for x: 2x^2+4x-16+=0

Answers

$2x^2+4x-16=0\ /:2\n \nx^2+2x-8=0\n \nx^2-2x+4x-8=0\n \nx(x-2)+4(x-2)=0\n \n(x-2)(x+4)=0\ \ \ \Leftrightarrow\ \ \ x-2=0\ \ \ \vee\ \ \ x+4=0\n \n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=2\ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-4$

$2x^2+4x-16=0|:2\n x^2+2x-8=0\n \Delta=36\Rightarrow√(\Delta)=6\n x_1=(-b+√(\Delta))/(2a)\ \vee\ x_=(-b-√(\Delta))/(2a)\n x_1=2\ \vee\ x_2=-4$

Please Help I Have No Idea What They Talking Bout Which level does macroeconomics focus on?
A. personal
B. business
C. government

Answers

Macroeconomics focuses on C) government level.
Macroeconomics is a branch of economics dealing with the performance, structure, behavior, and decision-making of an economy as a whole rather than individual markets.

Answer:

C. government

Step-by-step explanation:

Other Questions

In manufacturing processes, it is of interest to know with confidence the proportion of defective parts. Suppose that we want to be reasonably certain that less than 4% of a company's widgets are defective. To test this, we obtain a random sample of 250 widgets from a large batch. Each of the 250 widgets is tested for defects, and 6 are determined to be defective, based upon the manufacturer's standards. Using α = 0.01, is this evidence that less than 4% of the company's widgets are defective? State the hypotheses, list and check the conditions, calculate the test statistic, find the p-value, and make a conclusion in a complete sentence related to the scenario.

What number divided by 12 gives an answer of 72

The area formed by a plane cutting through a solid perpendicular to its axis is aA.cross section B.Longitudinal section C.Cylindrical Section D.Middle section

1+4 =5 2+5=12 3+6=21 8+11=