Explanation:
Simply plug the correct values into x and y.
1.13(4) + 21.5(-2.35) + 13.22
= 4.52 — 50.525 + 13.22
= —32.785
Explanation:
We must set up an equation to solve for the roll price of Brand A. We know that a pack of
Brand B costs 12*1.74 = 20.88. We also know that this is what Brand A costs per pack. To
find the per/roll price, we simply divide the pack price by the number of rolls 20.88/8 =
2.61.
Explanation:
The veteran pays 115-115*.2 = $92 (or 115*.8 = 92). The senior pays 115 - 50 = $65. The
senior gets the better deal.
Explanation:
First, find out the cost of the beef according to the incorrect tag. There are16 ounces per
pound, so the correct formula is 16 f 3 = 48 ounces and we multiply this by price per ounce
48 f .34 = $16.32. To find percent increase use the formula:
incorrect value — initial value/ initial vcalue = 16.32-11.52/11.52 = 41.67%
Explanation:
First, distribute through both sets of parentheses 5x + 15 = 3x -15. Next, collect like terms
2x = ~30. Finally, x = -15.
Explanation:
First, rewrite the problem 3x~2(2x+3) = 5, this is unnecessary, but makes the problem easier
to approach. Next, distribute the -2: 3x - 4x —6 = 5. Next, collect like terms: -x = 11. Finally, x
= ~11.
Explanation:
Let y be height and x be seconds. Set up an equation to find how many seconds until the
height is zero. 0 = 30000 — 145x, solve for x = 206.897. The provided solutions are given in
minutes and seconds, so the 206.897 seconds must be converted. Divide 206.897/60 =
3.448 It is important to remember that the .448 does not represent seconds, but percent
of a minute. There are 3 minutes and .448(60) = 26.88 seconds.
Explanation:
A geometric sequence uses multiplication to get from one value to the next. An arithmetic
sequence uses addition to get to the next value. This sequence is arrived at by adding 2 to
the proceeding value;
Explanation:
Since 15 is not that large, we can simply continue the series ...10, 12, 14, 16, 18, 20, 22, 24,
26,
28
until arriving at the 15th value. It is also possible to notice that we have 10 values to
project, each one adds 2 and use 10*2+8 = 28, where 8 is the 5th value in the series.
Explanation:
Given that y varies according to x, and that direct variation must pass through the point, (0,
O), we can find the slope. m: ?y/?x = rise/run . Plug in 35/10 = 3.5 = m to the equation
y=mx+b, where b=0.
Explanation:
To find the y—intercept, we plug 0 in for x. This leaves y = 1500 as the intercept, the answer
must be C or D. By convention time is along the x—axis, but we could deduce this without
knowing the convention. We have no basis for what 1500 would mean in terms oftime,
and so must assume that y represents revenue.
Explanation:
Collect like terms on the first equation to get 20.5x ~4y = 5 Now, find a multiple which
allow us to cancel terms from the second equation. If we multiply equation 1 by 8, we get:
164x —32y = —40 we can add this to our other equation.
6x +32y = 3 The collected equation is 170x = -37. Now we simply solve x: -.218, plug this
into either of the initial equations for x to get y: .135.
Another approach: Solve both equations in terms of y. Equation 1: y = 5.125x + 1.125.
Equation 2: y = .09375 ~ .1875x. Now set these equations equal to one another and solve
for x = -.218 and y = .135.
Explanation:
The man strolling by is thought to be the individual who is least affected by casinos. All of the other selections
are purely personal.
Explanation:
Circumference is 2πr. We first want to find the circumference of the track. Since the diameter is 4, we know
the radius is 2. Circumference = 2*π *2 = 4π. Now we want to know the circumference of the wheels. 2* ¼ * π
= π/2. Next, since Jack circled the track 10 times, we conclude that he went 10*4π = 40π meters. Finally we
divide this amount by how far his wheel travels per revolution 40π/π/2 = 80 revolutions.
Explanation:
The mean is found with the sum of all values divided by the number of values. In this case:
(17.6 + 114.3 + 13.2 + 15.6 + 15.7 + 16.2 + 899.5 + 615.2 + 1.5)/2 = 1708.8/2 = 189.87 ≈ 190
The median is simply the middle value when they are put in order from least to greatest, in this case the
median is the 5th value, or 16.2.
Explanation:
The bracket before 0 indicates that 0 is in the set. The parenthesis after 6 indicates that only values up to,
not including, 6 are included. This could also be written: 0 ≤ x < 6. Since no values below 0 are included,
we can eliminate (C) as a possible answer because it includes - ½. We can also eliminate (D) because it
includes 6. Since 2 π is 6.28, (B) is also eliminated.
Explnaton:
This problem does not require solving completely. Begin by subtracting 3 from both sides to
get 10 ≥ -/x+15/ . It is now clear that any input forx will produce a negative value for the
right side of the inequality and this will be less than 10.
Explnation:
A bracket [ ] is equivalent to greater than or equal to or less than or equal to. Whereas parentheses ( ) are
equivalent to greater than or less than; excluding the value attached to it. X is greater than or equal to -2,
and less than 3.
Explanation:
Either enter the data points into a graphing calculator and draw a scatterplot, or draw a rough sketch of the
data. The resulting graph should look U shaped, indicating a quadratic function.
Explanation:
8!/5! = (8*7*6*5*4*3*2*1/5*4*3*2*1).The 5, 4, 3, 2, and 1 all cancel out which leaves 8*7*6 = 336
for the first term. The second term is 6! = 6*5*4*3*2*1 = 720. The last term reduces to 6*5*4*3 = 360.
Perform the indicated operations 336+720-360 = 696.
