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3 years ago

The concession stand is selling hot dogs and hamburgers during a game. At

Mathematics

1 answer:

MAVERICK [17]3 years ago

7 0

Answer:

44 hotdogs

30 hamburgers

Step-by-step explanation:

b r a i n and p a p e r

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Two marathon runners run the full distance of the marathon, approximately 26 miles, in 4 hours.

xxTIMURxx [149]

Answer:

6.5 miles in 1 hour and they will run 75% of the full distance in 1 hour.

Step-by-step explanation:

The distance covered by two marathon runners = 26 miles

They takes 4 hours

We need to find how many miles did they run in 1 hour

In 4 hour, the distance covered is 26 miles

To find distance covered in 1 hour, divide 26 by 4 such that.

$d=\dfrac{26}{4}\\\\d=6.5\ \text{miles/hour}$

So, they will cover 6.5 miles in 1 hour.

For percentage,

$\%=\dfrac{26-6.5}{26}\times 100\\\\=75\%$

So, they will run 75% of the full distance in 1 hour.

8 0

3 years ago

Hey can you please help me posted picture of question

Olenka [21]

Hello!

The variable "n" represents an exponent.

An exponent is used to multiply a number (b) by itself "n" times. For example, if the expression were to read (b²) it would represent the following:

b × b

The same could be said for (b³):

b × b × b

Even ( $b^{10}$ ):

b × b × b × b × b × b × b × b × b × b

I hope this helps!

6 0

3 years ago

Given h(x) = -X – 2, solve for x when h(x) = 3.

Naya [18.7K]

The answer should be h(3)= -5

6 0

3 years ago

Read 2 more answers

Find the distance between the given points: (2, -2) and (-4, 7)

sasho [114]

Answer:

$3\sqrt{13}$

Step-by-step explanation:

Hi there!

We want to find the distance between the points (2, -2) and (-4, 7).

To do that, we can use the distance formula.

The distance formula is given as $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We have everything needed to find the distance, but let's label the values of the points to avoid any confusion

$x_1=2\\y_1=-2\\x_2=-4\\y_2=7$

Now substitute those values into the formula and solve

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$\sqrt{(-4-2)^2+(7--2)^2}$

Simplify

$\sqrt{(-4-2)^2+(7+2)^2}$

$\sqrt{(-6)^2+(9)^2}$

Square the numbers under the radical

$\sqrt{36+81}$

Add the numbers under the radical together

$\sqrt{117}$

Simplify the square root

$3\sqrt{13}$

Hope this helps!

6 0

3 years ago

If θ is an angle in standard position whose terminal side passes through (3, 4), evaluate tan(1/2)θ.

aleksandr82 [10.1K]

The tangent half angle formula, one of several, is

$\tan \dfrac a 2 = \dfrac{1 - \cos a}{\sin a}$

We have θ is opposite 4 in the 3/4/5 right triangle so

$\cos \theta = \dfrac{3}{5}$

$\sin \theta = \dfrac{4}{5}$

$\tan \dfrac{\theta}{2} = \dfrac{1 - 3/5}{4/5} = \dfrac{5-3}{4}=\dfrac{1}{2}$

Answer: 1/2

This is actually pretty deep. It says half the big acute angle in the 3/4/5 triangle is the small diagonal angle of the 1x2 rectangle. Similarly, the small acute angle in 3/4/5 triangle is twice the small diagonal angle of the 1x3 rectangle.

7 0

3 years ago