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3 years ago

miguel walked 3/4 miles to the library and then 3/8 miles to the post office. Which statement is true?

Mathematics

1 answer:

Paraphin [41]3 years ago

6 0

Answer:

Post office is true because 3/4 miles is 1320 yards and 3/8 is only 660 yards. So basically it will take A LONG TIME for him to get there at the library. But you know I am not always accurate /:

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how much water must be added to a 9-liter solution that contains 3% extract on baneberry to get a solution that contains 2% extr

yuradex [85]

Answer:

Amount water added = 4.5 L

Step-by-step explanation:

Given:

Amount of solution = 9 L

Amount of bane-berry = 3% of 9 L = 0.27 L

Computation:

Assume;

Amount water added = x L

Total solution = 9+x L

New percentage of bane-berry = 0.27x100/(9+x)

2 = 0.27*100/(9+x)

x = 4.5 L

Amount water added = 4.5 L

6 0

3 years ago

Two roller coasters are vying for the title of the steepest drop the first ride has a hill that drops 140 feet in a 40 foot run

muminat

Answer:

They have the same slope

Step-by-step explanation:

Given

Coaster 1:

$Drops = 140ft$

$Run = 40ft$

Coaster 2:

$Drops = 105ft$

$Run = 30ft$

First, we calculate the slope (m) of both coasters

$m = \frac{Rise}{Run}$

$m = \frac{Drops}{Run}$

For coaster 1:

$m = \frac{140ft}{40ft}$

$m = \frac{140}{40}$

$m = 3.5$

For coaster 1:

$m = \frac{105ft}{30ft}$

$m = \frac{105}{30}$

$m = 3.5$

$m = m=>3.5 = 3.5$

By comparison, they have the same slope

8 0

3 years ago

guajiro [1.7K]

Answer and Step-by-step explanation: Standard form of a quadratic equation is expressed as: y=ax²+bx+c, while vertex form is written as:

y=a(x-h)²+k.

The similarities between standard and vertex forms is that they show if the graph of the equation has a minimum (when a>0) or maximum (a<0) and it's easier to determine the y-intercept: for standard, the value of c is the intercept; for vertex, the value k is the intercept.

The advantage of standard form is that you can determine the product and sum of the equation's roots, which is a method to determine them.

The advantages of vertex form are: easier to find the vertex of the graph, which is the pair (h,k) and the axis of symmetry, which is the value of h.

8 0

3 years ago

Three research departments have 9, 7, and 10 members, respectively. Each department is to select a delegate and an alternate to

aivan3 [116]

Work:
First department: (They have 9 possibilities for delegate and 8 for alternate)
9 * 8 = 72
Second department: (They have 7 possibilities for delegate and 6 for alternate)
7 * 6 = 42
Third department: (They have 10 possibilities for delegate and 9 for alternate)
10 * 9 = 90
Total possibilities:
72 * 42 * 90 = 272,160 possibilities

I hope this helps!

3 0

4 years ago

I need the answers for this one as well!

Julli [10]

For the sake of showing work I will replace the empty space with an x like so...

$\frac{9}{10} =\frac{90}{x}$

To find out what x is you must cross multiply (aka butterfly)

***Image of this step is attached below

9*x = 10*90

9x = 900

Next divide 9 to both sides to finish isolating x. Since 9 is being multiplied by x, division (the opposite of multiplication) will cancel 9 out (in this case it will make 9 one) from the left side and bring it over to the right side.

9x ÷ 9 = 900 ÷ 9

1x = 100

x = 100

To make these fractions equivalent the empty spot must be 100

$\frac{9}{10} = \frac{90}{100}$

Hope this helped!

~Just a girl in love with Shawn Mendes

8 0

3 years ago