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koban [17]
2 years ago
8

Josiah owns a food truck that sells tacos and burritos. He only has

Mathematics
1 answer:
bogdanovich [222]2 years ago
8 0

Answer:

Therefore Josiah must sell 68 or 69 or 70 tacos in order to meet the requirement.

Step-by-step explanation:

Given , Josiah owns a food truck that sells tacos and burritos.

He sells each burritos for $7.50. If 79 burritos were sold.

Then the price of 79 burritos is $(7.50×79) =$592.50

Let x tacos were sold.

He sells each tacos for $5.

Then the price of x tacos is = $(x × 5)=$5x

Also given that Josiah must sell a minimum of $930 worth of tacos and burritos.

Therefore,

5x+592.50≥ 930

⇔5x≥930-592.50

⇔5x≥337.5

⇔x≥67.5

But he only has enough supplies to make 149 tacos or burrito.

He already sold 79 burrito.

So, remain space for tacos is = (149-79) = 70

So,67.5≤x≤70

∴x = 68 or 69 or 70

Therefore Josiah must sell 68 or 69 or 70 tacos in order to meet the requirement.

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below

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The equation 9+12m=6+15(m-1) models the following situation: Movie-rental company A charges a sign-up fee of $9 plus $12 per mon
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Answer:

3m = 18

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9 + 12m = 6 + 15(m - 1)

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After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year an
galben [10]

Answer:

y=32000(1+0.08)^x

Step-by-step explanation:

Exponential growth function is y=a(1+r)^x

Where 'a' is the initial population

r is the rate of growth and x is the time period in years

a steady population of 32,000. So initial population is 32,000

an increase of 8% per year. the rate of increase is 8% that is 0.08

a= 32000 and r= 0.08

Plug in all the values in the general equation

y=a(1+r)^x

y=32000(1+0.08)^x

y=32000(1+0.08)^x

4 0
2 years ago
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What’s the angle it’s looking for ?
Law Incorporation [45]

Given:

m(ar KN) = 2x + 151

m(ar LN) = 61°

m∠NMK = 2x + 45

To find:

m∠NMK

Solution:

By property of circle:

<em>If a tangent and a secant intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$\Rightarrow m\angle NMK=\frac{1}{2} (m \ ar(KN) - m\ arLN))

$\Rightarrow 2x+45=\frac{1}{2} (2x + 151-61)

$\Rightarrow 2x+45=\frac{1}{2} (2x + 90)

Multiply by 2 on both sides, we get

$\Rightarrow 2\times (2x+45)=2\times \frac{1}{2} (2x + 90)

$\Rightarrow 4x+90=2x + 90

Subtract 90 from both sides.

$\Rightarrow 4x+90-90=2x + 90-90

$\Rightarrow 4x=2x

Subtract 2x from both sides.

$\Rightarrow 4x-2x=2x-2x

$\Rightarrow 2x=0

$\Rightarrow x=0

Substitute x= 0 in m∠NMK.

m∠NMK = 2x + 45

              = 2(0) + 45

              = 45

Therefore m∠NMK = 45.

8 0
2 years ago
Suppose X is the breaking strength (newtons) of a material, and X is normally distributed with
Veronika [31]

Answer:

a) 0.997 is the  probability that the breaking strength is at least 772 newtons.

b) 0.974  is the probability that this material has a breaking strength of at least 772 but not more  than 820    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 800 newtons

Standard Deviation, σ = 10 newtons

We are given that the distribution of  breaking strength is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P( breaking strength of at least 772 newtons)

P(x \geq 772)

P( x \geq 772) = P( z \geq \displaystyle\frac{772 - 800}{10}) = P(z \geq -2.8)

= 1 - P(z

Calculation the value from standard normal z table, we have,  

P(x \geq 772) = 1 - 0.003 = 0.997 = 99.7\%

0.997 is the  probability that the breaking strength is at least 772 newtons.

b) P( breaking strength of at least 772 but not more  than 820)

P(772 \leq x \leq 820) = P(\displaystyle\frac{772 - 800}{10} \leq z \leq \displaystyle\frac{820-800}{10}) = P(-2.8 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2.8)\\= 0.977 - 0.003 = 0.974 = 97.4\%

P(772 \leq x \leq 820) = 97.4\\%

0.974  is the probability that this material has a breaking strength of at least 772 but not more  than 820.

7 0
2 years ago
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