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3 years ago

If 14 people show up to a cookout and you make 21 hot dogs, how many will you need to make if 105 people up?

Mathematics

2 answers:

Oksanka [162]3 years ago

7 0

Answer:

Step-by-step explanation:

let x = number of of hot dogs that 105 people will do

therefore

14 people = 21 hot dogs

105 people = x hot dogs

14 x 105 people = 21 x Xhotdogs

1470 = 21X

divide through by 21

1470/21 = 21X/21

70 = X

X = 70

therefore,

105 people will makev 70 hot dogs

Salsk061 [2.6K]3 years ago

6 0

Answer: If 105 people show up, you will need to make 158 hot dogs.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

14 people ⇒21 hot dogs
105 people ⇒x

First, we have to divide the 21 hot dogs made by the 14 people that showed up.

21/14 = 1.5 hot dog per person

Now, we simply multiply that result by 105:

1.5 x 105 = 157.5 ≅158 hot dogs

Feel free to ask for more if needed or if you did not understand something.

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If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph?

Tatiana [17]

Answer: y=12

Step-by-step explanation:

the y-intercept of the graph when : x=0

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3 years ago

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Factor the quadratic equation below to reveal the solutions. X^2+4x-21=-9

a_sh-v [17]

Answer:

x = 3 and x = -7

Step-by-step explanation:

The given quadratic equation is $x^2+4x-21=0$ . We need to find the solution of this equation.

If the equation is in the form of $ax^2+bx+c=0$ , then its solutions are given by :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

Here, a = 1, b = 4 and c = -21

Plugging all the values in the value of x, such that :

$x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a},\dfrac{-b- \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-4+ \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)},\dfrac{-4- \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)}\\\\x=3, -7$

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3 years ago

What is 3/4-5/8? ? Give your answer in its simplest form.

Setler79 [48]

Answer:

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Step-by-step explanation:

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2 years ago

27. If three more than one-fourth of a number is

ololo11 [35]

Answer:

Step-by-step explanation:

let the number be n , then

$\frac{1}{4}$ n + 3 = n - 3 ( multiply through by 4 to clear the fraction )

n + 12 = 4n - 12 ( subtract 4n from both sides )

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2 years ago

A fisherman leaves his home port and heads in the direction N 70 ° W. He travels d1 = 40 mi and reaches Egg Island. The next day

Gnesinka [82]

Answer:

A)82.02 mi

B) 18.7° SE

Step-by-step explanation:

From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.

A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;

a² = b² + c² - 2bc Cos A

Thus, let the distance between the home port and forrest island be x.

So,

x² = 40² + 65² - 2(40 × 65)cos 100

x² = 1600 + 4225 - (2 × 2600 × -0.1736)

x² = 6727.72

x = √6727.72

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B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;

A/sinA = b/sinB = c/sinC

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Cross multiply to get;

sinθ = (40 × sin 100)/82.02

sin θ = 0.4803

θ = sin^(-1) 0.4803

θ = 28.7°

From the diagram we can see that from parallel angles, 10° is part of the total angle θ.

Thus, the bearing from Forrest Island back to his home port is;

28.7 - 10 = 18.7° SE

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3 years ago