[PQR] = 25
[LPQ] = 75
[JKL] = 400
... more pies than Carl.
jugoslav
You are offered two different sales jobs. The first company offers a straight commission of 7% of the sales. The second company offers a salary of $ 230 per week plus 4% of the sales. How much would you have to sell in a week in order for the straight commission offer to be at least as good?
It would take 5*15/27 = 25/9 minutes.
See https://web2.0calc.com/questions/graphing-question_40
The statements that must be true are 1 and 3.
For 1a, the point B also lies on the line y = 1/2*x + 3.
Aaron, Bob, and Carl sold pies at a funfair. Aaron sold 5/8 of the total number of
pies. Bob sold 5/6 of the remaining pies and Carl sold the rest. Aaron sold 1287
more pies than Carl.
a) How many pies did Bob sell?
b) How many pies did they sell altogether?
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Total number of pies => x
Aaron sold = 5/8(x) Bob sold = 5/6(3x/8) Carl sold = 1/6(3x/8)
"Aaron sold 1287 pies more than Carl."
5x/8 - 1/6(3x/8) = 1287
x = 2288 (Number of pies they sold altogether)
Bob sold => 5/6(3x/8) = 715 pies
D is on side BC of triangle ABC. We know ABC ~ ACD and angle A = 49 degrees. If BC = CD, what is angle B in degrees?
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Triangle ABC => ∠A = 49º, ∠B = 41º, ∠C = 90º
Triangle ACD => ∠A = 41º, ∠C = 90º, ∠D = 49º
These two triangles are similar!!!
Sharon sold 3/10 of her mangoes and Ahmad sold 1/4 of his.
They found that each of them had sold the same number of mangoes.
If Sharon had 36 fewer mangoes than Ahmad at first, how many mangoes did
Ahmad have left?
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Sharon had => x Ahmad had => x + 36
Sharon sold => 3/10(x) Ahmad sold => 1/4(x + 36)
3x/10 = 1/4(x + 36) x = 180
Ahmad had left => 3/4(x + 36) = 162
Claire jogs 6 miles per hour and Megan jogs 5 miles per hour. They start together at their campsite and jog to an outpost 16 miles away. When Claire gets there, she immediately turns around and heads back towards Megan. How many miles will they be from the outpost when they meet? Express your answer as a mixed number.
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The ratio of Claire's (C) speed to Megan's (M) speed is 6:5
C jogs 16 miles while M jogs 131/3 miles
The difference is 22/3 miles
(22/3 - M) / M = 6/5 M = 1 21/99
16 - (13 1/3 + 1 21/99) = 1 5/11
Claire jogged 17 5/11 miles, while Megan jogged 'only' 14 6/11 miles.
(17 5/11 ) / (14 6/11 ) = 6 / 5
At 6 m/hr and 5 m/hr when wil the total be 16 miles
Clair arrives at finish in 16/6 = 8/3 hr
Megan is at milepost 5 * 8/3 = 40/3 miles with 16 - 40/3 miles to go =8/3 mile
closing speed then becomes 6+5 = 11 miles/hr
8/3 mile / 11 m/hr = 8/33 hr to meet
16 - 8/33*6 = milepost = 14.55 miles from finish = .455 miles to go
Prime factorization
105 = 5 x 3 x 7 the fourth digit can only be a ' 1 '
the four digits are 5 3 7 1 which can be aranged in 4 x 3 x 2 x 1 ways = 24 numbers
There are 24 such numbers as follows:
1357 , 1375 , 1537 , 1573 , 1735 , 1753 , 3157 , 3175 , 3517 , 3571 , 3715 , 3751 , 5137 , 5173 , 5317 , 5371 , 5713 , 5731 , 7135 , 7153 , 7315 , 7351 , 7513 , 7531 , Total = 24 such numbers
Hi abmusical2021,
Guest's answer was right and just because you haven't figured it out doesn't mean you have to disqualify someone who has a different solution.
That's not cool. As I said, the guest's answer was correct, yours was not. But everyone makes mistakes.
Straight
"The sum of lengths of all edges of a rectangular box is 140 cm and the distance from one corner of the box to the farthest corner is 21 cm. What is the total surface area of the box?"
In rectangular Angles, and opposite faces of a cuboid are equal. The square cuboid, square box, or right square prism (also ambiguously called square prism) is a special case of the cuboid in which at least two faces are squares.
What is the smallest distance between the origin and a point on the graph of y = x^2 - 3?
Hello Guest!
\(y=x^2-3\\ y'=2x\\ m= -\frac{1}{2}\\ -\frac{1}{2}x=x^2-3\\ x^2+\frac{1}{2}x-3=0\)
\(x=-0.25\pm \sqrt{0.0625+3}\\ x=-0.25\pm 1.75\\ x\in\{-2,1.5\}\\ d_{min}= \sqrt{x^2+y^2}=\sqrt{1.5^2+(-\frac{1}{2}\cdot 1.5)^2}\)
\(d_{min}=1.677\)
The smallest distance is 1.677
!
In what sense do you want to "solve" this? You can plot f as a function of x:
I suspect the second part should say the ratio of books to pens is now 2:3, in which case:
With p = number of pens and b = number of books we have:
!
