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White raven [17]
3 years ago
5

A group of friends want to go to the county fair for $2.50 per person and to catch a trolley into the fairground is $10 for the

group. If the total cost is $35 how many of the friends can get into the fair?
Mathematics
1 answer:
miskamm [114]3 years ago
4 0

Answer:

10 friends got into the fair

Step-by-step explanation:

If county fair cost is $2.5 per person

$10 to catch a trolley

total cost = $35

Total county fair cost= total cost - trolley cost

= $35 - $10

= $25

So if $25 was spent on county fair, then the number of friends that went is

$25/$2.5 = 10

That is total cost divided by cost per person gives number of persons

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Give B is the midpoint of AC, what is AC?
Savatey [412]

Answer:

\fbox{27}

Step-by-step explanation:

4x+3=3x+9\\4x+3-3=3x+9-3\\4x=3x+6\\4x-3x=3x-3x+6\\x=6

Plug in the 6 to the equations. Since B is the midpoint of AC, then both should be equal once plugged in [and solved].

4(6)+3\\= 27\\3(6)+9\\= 27\\\\\fbox{27}

8 0
3 years ago
Un submarino puede descender a una velocidad de –2,5 metros / segundo. Supongamos que el submarino comienza a una profundidad de
Mariulka [41]

17.5

Step-by-step explanation:

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3 years ago
The figure shows a line graph and two shaded triangles that are similar:
dlinn [17]

True:

3rd One

4th One

False: All of the others.

It's a straight line, so it is going to have straight qualities and straight inequalities throughout the graph.

8 0
3 years ago
Find an equation of a line that is tangent to the graph of f and parallel to the given line. Please see picture
ivanzaharov [21]

Answer:

y = 3x - 2 (smaller y-intercept)

y = 3x + 2 (larger y-intercept)

Step-by-step explanation:

First let's write the generic equation of a line:

y = ax + b

This line needs to be parallel to the line 3x - y + 5 = 0, so it needs to have the same slope of this line.

The line 3x - y + 5 = 0 has a slope of 3, so our line has a = 3:

y = 3x + b

Now we need to find the values of b that make this line tangent to the function f(x) = x^3

Let's first find the derivative of f(x) in relation to x:

df(x)/dx = 3x^2

This derivative is the slope of the tangent line to the function for any value of x. We need a slope of 3, so:

3x^2 = 3

x^2 = 1

x = ±1

Now, to find the y-values, we have:

f(1) = 1^3 = 1

f(-1) = (-1)^3 = -1

So, using the points (1,1) and (-1,-1) in our parallel line, we have:

first line using (1,1) : 1 = 3*1 + b

b = -2

second line using (-1,-1) : -1 = -3*1 + b

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The value of b is the y-intercept of the line, so the line with smaller y-intercept is y = 3x - 2, and the line with larger y-intercept is y = 3x + 2

8 0
3 years ago
NEED HELP ASAP PLEASE!! The provided diagram of triangle ABC will help you to prove that the base angles of an isosceles triangl
Lunna [17]

Answer: The proof is mentioned below.

Step-by-step explanation:

Here, Δ ABC is isosceles triangle.

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Where ∠ B and ∠ C are the base angles of Δ ABC.


7 0
3 years ago
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