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Law Incorporation [45]
2 years ago
10

Tom wants to buy some protein bars and magazines for a trip he has decided to buy three times as many protein bars with magazine

s each protein bar cost $.70 and each magazine cost $2.50 the sales tax rate on both types of these items are 6.5% how many of each item can he buy if he has $20 to spend
Mathematics
1 answer:
kumpel [21]2 years ago
3 0

Answer:12 Protein bar and 3 magazines

Step-by-step explanation:

Given

Tom purchases Protein bars 3 times as much as magazine

Each bar cost  \$ 0.7

Each magazine costs \$ 2.50

Sales tax is 6.5 %

suppose Tom buy x magazines so

Price of magazine is 2.5 x

Price of bars is 3\times 0.7x=2.1 x

Total Price=2.5 x+2.1 x=4.6 x

After sales tax =4.6x(1+0.065)=4.899 x

This must be less than \$ 20

so 4.899x < 20

x< 4.082

thus x=4

so he but 4 magazines and 12 protein bars

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Which angle has a sine of -1/2 and a cosine of -√3/2
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\sin x=-\dfrac{1}{2} < 0\\\\\cos x=-\dfrac{\sqrt3}{2} < 0\\\\therefore\ x\in(180^o;\ 270^o)

\text{We know:}\ \tan x=\dfrac{\sin x}{\cos x}\\\\\text{therefore:}\ \tan x=\dfrac{-\frac{1}{2}}{-\frac{\sqrt3}{2}}=\dfrac{1}{2}\cdot\dfrac{2}{\sqrt3}=\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=\dfrac{\sqrt3}{3}

\tan x=\dfrac{\sqrt3}{3}\Rightarrow x=30^o+180^o\cdot k;\ k\in\mathbb{Z}

x\in(180^o;\ 270^o)\ therefore\ \boxed{x=30^o+180^o=210^o}
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3 years ago
The value of 33 + 42 = ___.
frez [133]

Answer:

75

Step-by-step explanation:

We line up the tens place of 33 and 42 as well as the ones place so that it looks like:

33

+42

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Then we add first the ones, which is 3 + 2 for 5. Then we add the tens together, 3 + 4 is 7. We put the five first since its in the ones place and the 7 second since its in the tens place for 75.

6 0
2 years ago
Read 2 more answers
Ted is comparing the temperatures of three days in January the temperatures on Monday and Tuesday had the same absolute value th
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Tuesday Wednesday and lastly monday

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2 years ago
what are the next 6 terms 10,14,18? and what pattern does it show? increasing decreasing? please Help. :(
Gnoma [55]

It looks like the next six terms are 22, 26, 30, 34, 38, 42

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3 years ago
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What are the zeros of this polynomial and state their multiplicity at each <br> y=(x-5)(x+2)^2
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Answer:

C.

Step-by-step explanation:

The zeros of a polynomial are the x-intercepts of the function. To find them, we factor the polynomial and set each factor equal to 0.

This polynomial is already factored so set each to 0 and solve for x.

x-5=0\\x=5\\(x+2)^{2}=0 \\(x+2)=0\\x=-2

This means x=-2, 5. Each zero or root has a multiplicity - the number of times the factor occurs. This is also known as the exponent of the factor expression.

(x+5) occurs once since it has exponent 1.

(x+2)^{2} occurs twoce since it has exponent 2.

x=5 mult. 1, x=-2 mult. 2



7 0
3 years ago
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