Answer:
Let the 'cart' total is x and total payment is y.
The sales tax is 5.6% added to the 'cart' amount and then shipping and handling fee added.
Part AThere are three intervals as below and function added accordingly:
0 < x ≤ 49.99 ⇒ y = x + 5.6% + 3.95 = 1.056x + 3.9550 ≤ x ≤ 75.99 ⇒ y = x + 5.6% + 11.95 = 1.056x + 11.95x ≥ 76 ⇒ y = x + 5.6% + 5.95 = 1.056x + 5.95Part Bx = 74.50, this falls in the second intervaly = 74.50*1.056 + 11.95 = $90.62 (rounded )Part Cy = 89.20, this is close to the number we got in part B and we assume it is same - the middle interval.
89.20 = 1.056x + 11.951.056x = 89.20 - 11.951.056x = 77.25x = 77.25 / 1.056x = 73.15 (rounded )-----------------------------------------
Note. Shipping and Handling charges seems incorrectly ordered. If so the answers above all should change accordingly.Milo has 5 rocks in his rock collection. He finds 40 rocks outside that he wants to put in his collection. If he places the rocks into boxes of 9, how many boxes of rocks will he have in his collection?
Answer:
puto el que lo lea
Step-by-step explanation:
jajajaja lol no
Answer:
5
Step-by-step explanation:
40+5=45. 45/9=5
In a school,2/15 of the students are boys and the rest are girls .If the number of girls is 1950,Find 5he number of boys
Answer:
300
Step-by-step explanation:
Where would the shape be located after a rotation of 90 degrees clockwise about the origin?
Answer:
It should be the first quadrant
Hope that helps!
simplify the expression 4x+2-1/2x
answer 41x
Step-by-step
Find the equation of a line perpendicular to -3x + 5y = -1 that contains the point (0, -5)
Answer:
y = -5/3x - 5
Step-by-step explanation:
convert -3x + 5y = -1 to slope-intercept form:
5y = 3x - 1
y = 3/5x - 1/5
slope of a line perpendicular to the above equation would be -5/3
y = mx + b
-5 = -5/3(0) + b
b = -5
y = -5/3x - 5
Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking over time in a linear way. Its mass is leaking by 9.7 grams per minute. Eight minutes since the experiment started, the remaining gas had a mass of 339.5 grams. Let x be the number of minutes that have passed since the experiment started, and let y be the mass of the gas in grams at that moment. Use a linear equation to model the weight of the gas over time.
a. This line's slope-intercept equation is ___________
b. 31 minutes after the experiment started, there would be ____________ grams of gas left.
c. If a linear model continues to be accurate,______________ minutes since the experiment started, all gas in the container will be gone.
Answer: a. This line's slope-intercept equation: y=-9.7x+417.1
b. 31 minutes after the experiment started, there would be 116.4 grams of gas left.
c. If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.
Step-by-step explanation:
Linear equation: y=mx+c (slope-intercept equation)
, where m= rate of change in y with respect to change in x , c= Initial value.
Let y= Mass of remaining gas after x minutes.
m= -9.7 (given)
At x= 8, y=339.5
Thus,
[tex]339.5=(-9.7)(8)+c\\\\\Rightarrow\ 339.5=-77.6+c\\\\\Rightarrow\ c= 339.5+77.6=417.1[/tex]
a. This line's slope-intercept equation: y=-9.7x+417.1
b. At x= 31 minutes
y=-9.7(31)+417.1
⇒ y=-300.7+417.1
⇒ y=116.4
31 minutes after the experiment started, there would be 116.4 grams of gas left.
c. Put y=0, we get
[tex]0=-9.7x+417.1\\\\ x=\dfrac{417.1}{9.7}\\\\ x=43[/tex]
If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.
Can somebody please help me and how do you do this step by step and I need the formula for this please.
radius of ½ circle = d : 2
= 6in : 2 = 3in
Total area = Rectangle area + ½Circle area + Triangle area
= (l×w) + ½(π×r²) + (½×b×h)
= (10×6) + ½(π×3²) + (½ × (14-10) × 6)
= 60 + 14.14 + 12 = 86.14in
Answer : 86.14inSee the bold one in line 2 of total area, thats the formula of all shape.
a Toyota Yaris goes 15 km on one litre of petrol how much petrol will it need to get to paga from bawku,120km
Answer:
8 litre
Step-by-step explanation:
very simple 120÷15=8
hope it helps you
please mark me as brainlist
I choose a card at random from a well-shuffled deck of 52 cards. There is a 1/4 probability that the card chosen is a spade, a 1/4 probability that the card is a heart, a 1/4 probability that the card is a diamond, and a 1/4 probability that the card is a club. Both spades and clubs are black cards, whereas hearts and diamonds are red. The events card is a heart and card is a club are
Answer:
The answer is "disjoint events".
Step-by-step explanation:
Please find the complete question in the attached file.
In this question, the Disjointed events were not connected, throughout this, Some other approach to disorganized events was its lack of common outcomes. When it can come at the same time, two events are exclusive to each other. A whole term, that implies excluding each other is disjoined. If had some are united, the chance of them both happening on one is 0, throughout this question, both heart and club can't be cards at the very same time.
A regular price bathing suit is $89.99. What is the new price if it on sale for 25% off the regular price?
Answer:
$67.49 and 1/4 of a cent
Step-by-step explanation:
25% of 89.99 = 224975
89.99-22.4975=67.4925
Answer:
25%=1/4 1/4 of 90= 22.5 90-22.5=67.5
Step-by-step explanation:
f(x) = -x + 2, find f(6)
Answer:
f(6)=-(6)+2=-4
........................
a pack of pens cost $3. Prisha spent $12 on pens. Each pack has 5 pens How many packs did Prisha buy?
Answer: 4
Step-by-step explanation: I think
Can someone please help me understand this and the answer
Answer:
x ≤ 2
Step-by-step explanation:
234.2 in expanded form
Answer:
Expanded Notation Form:
234.2
=
200
+
30
+
4
+
0.2
Expanded Factors Form:
234.2
=
2 ×
100
+
3 ×
10
+
4 ×
1
+
2 ×
0.1
Expanded Exponential Form:
234.2 =
2 × 102
+
3 × 101
+
4 × 100
+
2 × 10-1
Word Form:
234.2 =
two hundred thirty-four and two tenths
A committee of 3 is to be formed from 5 men and 6 women. (a) What is the probability that a random committee is made up of 2 women and 1 man? (b) Suppose now that the committee consists of different positions: Chairperson, Vice-Chairperson, and Treasurer. What is the probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man?
Answer:
a) 0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.
b) 0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
If the order of the people chosen is important, we use the permutations formula. If the order is not important, we use the combinations formula.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
(a) What is the probability that a random committee is made up of 2 women and 1 man?
Order is not important, so we use the combinations formula.
Desired outcomes:
2 women from a set of 6, and a men from a set of 5. So
[tex]D = C_{6,2}*C_{5,1} = \frac{6!}{2!4!}*\frac{5!}{1!4!} = 15*5 = 75[/tex]
Total outcomes:
3 people from a set of 6 + 5 = 11. So
[tex]T = C_{11,3} = \frac{11!}{3!8!} = 165[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{75}{165} = 0.4545[/tex]
0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.
(b) Suppose now that the committee consists of different positions: Chairperson, Vice-Chairperson, and Treasurer. What is the probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man?
Now, the order is important, which means that we use the permutations formula.
Desired outcomes:
2 women from a set of 6, and a men from a set of 5. So
[tex]D = P_{6,2}*P_{5,1} = \frac{6!}{4!}*\frac{5!}{4!} = 30*5 = 150[/tex]
Total outcomes:
3 people from a set of 11. So
[tex]T = P_{11,3} = \frac{11!}{8!} = 990[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{150}{990} = 0.1515[/tex]
0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man
Substitute w = 1 and w = 3 to determine if the two expressions are equivalent.
Answer:
mineeeeeeeeeeee
Step-by-step explanation:
En un modelo de un castillo, 1 pulgada equivale a 83 pies. El modelo mide 10.5 pulgadas de ancho. ¿Cual es el ancho real del castillo?
Ayúdenme porfavo ;w;
Responder:
1" = 83 ft
10.5" = 83*10.5=871.5 ft
Explicación paso a paso:
Espero que esto te ayude ¡UwU! Saludos, Jaclyn
An elementary school class ran 1 mile in an average of 11 minutes with a standard deviation of 3 minutes. Rachel, a student in the class, ran 1 mile in 8 minutes. A junior high school class ran 1 mile in an average of 9 minutes, with a standard deviation of 2 minutes. Kenji, a student in the class, ran 1 mile in 8.5 minutes. A high school class ran 1 mile in an average of 7 minutes with a standard deviation of 4 minutes. Nedda, a student in the class, ran 1 mile in 8 minutes.
Required:
a. Why is Kenji considered a better runner than Nedda, even though Nedda ran faster than he?
b. Who is the fastest runner with respect to his or her class? Explain why.
Answer:
Step-by-step explanation:
a.
Kenji ran faster than the class average by 0.25 of a standard deviation while Nedda was slower than the average in her class.
b.
Rachel: average - 1st deviation
Kenji: average - 0.25 standard deviation
Nedda: slower than average so it's definitely not her.
Since Rachel is faster than the average and differs by the most standard deviations compared with Kenji,
So, Rachel is the faster one.
a bottle of orange juice holds for 4/6 quarts of juice. a bottle of pineapple juice holds 2/3 quarts of juice. which bottle has more juice
Answer:
the orange juice has more ounces than the pineepple juice
Step-by-step explanation:
Find the slope of the line passing through the points (-2,3) a
and
(-9,6).
===================================================
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (6-3)/(-9-(-2))
m = (6-3)/(-9+2)
m = 3/(-7)
m = -3/7
This means each time you go down 3 units, you go to the right 7 units.
Slope = rise/run = -3/7
rise = -3 and run = 7
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply.
7 x + 4 and 3 x + 5 + 4 x minus 1
-When x = 2, both expressions have a value of 18.
-The expressions are only equivalent for x = 4 and x = 6.
-The expressions are only equivalent when evaluated with even values.
-The expressions have equivalent values for any value of x.
-The expressions should have been evaluated with one odd value and one even value.
-When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
-The expressions have equivalent values if x = 8.
Answer:
When x=2, both expressions have a value of 18.
The expressions have equivalent values for any value of x.
The expressions have equivalent values if x=8
Step-by-step explanation:
x + 5 x < -2 4 – x2 -2
x2 < −6x − 26
x < -x2/6 - 13/3
Poru
1. It is a relationship that compares two or more quantities
A. quantity
B ratio
C. fraction
D. colon
2(-4y-7)+3=11 solve for y
Answer:
y = -11/4
Step-by-step explanation:
2 ( -4y - 7) + 3 = 11
-8y - 14 + 3 = 11
-8y - 11 = 11
-8y = 22
y = -11/4
Answer:
12
Step-by-step explanation:
-4 + 12 =7
Plz help with the problem in the picture. Thanks
Answer: x(0,0)y(0,0) tell me more I don't really understand it
x=3.4
Step-by-step explanation:
LMNP is a rectangle. Find the length of each diagonal. LN=x and MP=2x-9
Answer:
LN = MP = 9 units
Step-by-step explanation:
In rectangle LMNP, LN and MP are diagonals .
Measures of the diagonals of a rectangle are equal.
Therefore,
MP = LN
2x - 9 = x
2x - x = 9
x = 9
LN=x = 9 units
MP=2x-9 = 2*9 - 9 = 18 - 9 = 9 units
Write an equation in slope-intercept form that describes the relationship between the number of minutes, x, and the amount charged, y.
Answer:
y = 1/20x + 6
Step-by-step explanation:
The number of minutes is your x-value. The amount charged is your y-value.
Let's convert the numbers in the table into coordinates.
(30, 7.5)
(120, 12)
(220, 17)
Now, we will take two points and use the slope formula to plug into the slope-intercept equation: y = mx + b
I chose the first and last points given. All three points do not lie on the same line, but using the first and last point should be closer to the line of best fit.
(30, 7.5) & (220, 17)
m = (y₂ - y₁) / (x₂ - x₁)
m = (17 - 7.5) / (220 - 30)
m = (9.5) / (190)
m = 0.05 = 5/100 = 1/20
m = 1/20
Plug m into your equation.
y = 1/20x + b
To find b, plug in a point for x and y.
17 = 1/20(220) + b
17 = 11 + b
b = 6
Plug b into your equation.
y = 1/20x + 6
Hope this helps!
Cameron combined peanuts, cashews and walnuts to make a trail mix. The expression 16p+24c+32w represents the total number of nuts in the mix. Cameron wants to divide the trail mix into equal servings, but he does not know how many. Use factoring to write expressions that will help Cameron divide the trail mix into 4 servings or 8 servings.
72 nuts mix the trail 4 ➕ 8
Answer:
Step-by-step explanation:
Read the picture carefully...there can be more than ONE ANSWER
Answer:
D
Step-by-step explanation:
Please help me one more time
Answer: 24
Yes (x-2) is a factor. There is a remainder.
Step-by-step explanation:
2³-8•2²+14•2-4
8-8•4+14•2-4
0•4+14•2-4
0+14•2-4
14•2-4
28-4
24
Hope this helps if so plz mark me brainly