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3 years ago

The scale on a map is 2cm= 1km. Express this as a ratio

1 answer:

7 0

This would mean that the ratio is 2:1 or 2 to 1 or also 2/1.

The ratio would be that because it's 2 centimeters per 1 kilometer.

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A student ran 100 m dash in 15.4 seconds. What was the student speed in miles per hour

amid [387]

15.4 seconds = 0.00428 hours and 100 meters = 0.062 miles soo the student ran approximately 14.5 mph

8 0

3 years ago

There are 412 students and 20 teachers taking buses on a trip to a museum. Each bus can seat a maximum of 48. Which inequality g

Vlad1618 [11]

Answer:

Option B. $b\geq 9$

Step-by-step explanation:

Let

b------> the number of buses

we know that

$48b\geq (412+20)$ -----> inequality that represent the situation

Solve for b

$48b\geq 432$

$b\geq 432/48$

$b\geq 9$

6 0

3 years ago

Read 2 more answers

the area of a right triangle is 336 square centimeters. The base of the right triangle is 48 centimeters. What is the length of

Alex73 [517]

Answer:

50 cm

Step-by-step explanation:

So the first step is to find the height, and to do that you know that the area of a triangle is height * base / 2 = area. Plugging in the numbers you have, you get:

$height*48/2=336$

Then, this becomes

$height * 24 = 336$

Divide both sides by 24

$height = 14$

Now you can use the base and the height to find the hypotenuse using the Pythagorean Theorem: $a^{2} +b^{2} =c^{2}$

$48^{2} +14^{2} =c^{2} \\2304 + 196 = c^{2}\\2500 = c^2\\50 = c\\c = 50$

Therefore the length of the hypotenuse is 50 cm

8 0

3 years ago

The second of two numbers is 8 less than twice the first number, what are the two numbers?

Mashutka [201]

So the two numbers can be represented as x and y

so x is first and y is second

y=2(x)-8

so y=2x-8

IF THEY ARE CONSECUTIVE
If they are consecutive numbers then
x+1=y
subtitute
x+1=2x-8
subtract x from both sides
1=x-8
add 8 to both sides and get
9=x
put it into the equation and get
y=2(9)-8
y=18-8
y=10
so x=9
y=10
IF X AND Y ARE CONSECUTIVE INTEGERS (1,2,3,4 not 2.3 or 1,3,5,8)

3 0

4 years ago

Read 2 more answers

Show that the roots of the equations

harkovskaia [24]

Answer:

The roots are real and distinct.

Step-by-step explanation:

Given the following equation:

$x^{2} + kx - k -2 =0$