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Pavlova-9 [17]
1 year ago
6

Which pair of numbers does NOT have a least common multiple of 30?

Mathematics
1 answer:
VMariaS [17]1 year ago
4 0
A. 6 and 10 because 6x10=60 and that’s the only one that does not equal 30.
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Jake has $120 to spend for a party. Juice costs $8. Pizza costs $12. Write the standard equ.
Likurg_2 [28]

Answer:

$8x + $12y = $120

Step-by-step explanation:

x = amount of juice

y = amount of pizza

$120 = his total money

5 0
3 years ago
Adam has sticks of the following lengths: (3x+4) (2x+10) (x+12)cm
gladu [14]
Option I
(3x+4)cm =(2x+10)cm
3x-2x=6
x=6
Option II
(3x+4)= (x+12)
3x-x=12-4
2x=8
x=4
Option III
(2x+10)= (x+12)
2x-x=12-10
x=2
3 0
4 years ago
Read 2 more answers
For the function y=-1+6 cos(2pi/7(x-5)) what is the minimum value?
Ad libitum [116K]
Usually one will differentiate the function to find the minimum/maximum point, but in this case differentiating yields:
\frac{2\pi}{7(x-5)^{2}}\sin{\frac{2\pi}{7(x-5)}}}
which contains multiple solution if one tries to solve for x when the differentiated form is 0.

I would, though, venture a guess that the minimum value would be (approaching) 5, since the function would be undefined in the vicinity.

If, however, the function is
-1+\cos{\frac{2\pi}{7}(x-5)}}
Then differentiating and equating to 0 yields:
\sin{\frac{2\pi}{7}(x-5)}}=0
which gives:
x=5 or 8.5

We reject x=5 as it is when it ix the maximum and thus,
x=8.5\pm7n, for n=0,\pm 1,\pm 2, ...
3 0
3 years ago
Read 2 more answers
(10 points!) Help is appreciated!! :)
lesantik [10]
D) f(x)=(1/2)^x, g(x)=(1/8)^x, h(x)=(2/3)^x.

If the base of the exponent in a general function p(x) is lower, this means that large negative values of x will result in large positive values of p(x). Example: (1/5)^(-10)= almost 10 million, while (1/2)^(-10)= only 1024.
4 0
4 years ago
Read 2 more answers
Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy
tia_tia [17]

Answer:

84 ounces of pure gold

Step-by-step explanation:

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?

Pure gold = 100% gold

Let the number of ounces of pure gold = x

Hence, we have the equation

40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces

= 0.4 × 60 + 1x = 0.75(60 + x)

= 24 + x = 45 + 0.75x

Collect like terms

x - 0.75x = 45 - 24

0.25x = 21

x = 21/0.25

x = 84 ounces

Therefore, we need 84 ounces of pure gold

6 0
3 years ago
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