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morpeh [17]
3 years ago
6

A map has a scale of 2 inches : 25 miles. Chandra uses the map to find the distance from the zoo to her house. The distance on t

he map is 5 inches. How many miles away is the zoo from Chandra’s house?
Mathematics
1 answer:
geniusboy [140]3 years ago
5 0

Step-by-step explanation:

Turn the ratio into a fraction

2in /25 mi

You want to have miles so you can flip the fraction and mutiply to cancel out the inches

(25mi / 2in) x 5in = (25 mi x 5in) / 2in

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1. A solid is 4 cm tall, 5 cm wide and 3 cm thick. It has a mass of 120 g. What is its density?
masha68 [24]
V = (4cm)(5cm)(3cm) = 60 cm³
M = 120g

<u><em>Density = M/V = (120g)/(60cm³) = 2 g/cm³</em></u>
8 0
3 years ago
Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real
garik1379 [7]

The complete question is

"Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real number solutions? (The related quadratic function will have two x-intercepts.) Check all that apply.

0 = 2x^2 – 7x – 9

0 = 4x^ 2 – 3x – 1

The quadratic equations that have real number solutions are; 4x^2 – 3x – 1, and 2x^2 – 7x – 9.

<h3>What is the formula for Discriminant?</h3>

The formula for finding the discriminant is

b^2 - 4ac

The solution contains the term \sqrt{b^2 - 4ac} which will be:

Real and distinct if the discriminant is positive

Real and equal if the discriminant is 0

Non-real and distinct roots if the discriminant is negative

For the quadratic equation 2x^2 - 7x - 9

b^2 - 4ac

= (-7) ^2 - 4( 2) ( -9)\\\\= 49 + 72 = 121

This equation has two real number solutions.

For the quadratic equation 4x^ 2 - 3x- 1

b^2 - 4ac

= (-3) ^2 - 4( 4) ( -1)\\\\= 9 + 16 = 25

This equation will have two real number solutions.

Learn more on discriminant here:

brainly.com/question/1537997

#SPJ1

5 0
2 years ago
Simplify quantity 1 minus cosine squared theta divided by sine squared theta..
Ulleksa [173]
For this case we have the following fraction:
 (1-cos ^ 2 (θ)) / (sin ^ 2 (θ))
 We must take into account the following trigonometric identity:
 cos ^ 2 (θ) + sin ^ 2 (θ) = 1
 Therefore rewriting we have:
 sin ^ 2 (θ) = 1 - cos ^ 2 (θ)
 Substituting in the given fraction we have:
 (1-cos ^ 2 (θ)) / (sin ^ 2 (θ))
 = (sin ^ 2 (θ)) / (sin ^ 2 (θ))
 = 1
 Answer:
 
1
4 0
3 years ago
At Best Buy they have a stereo system that sells for $2500 and is on sale for 9% and sales tax is 5%. What is the final cost?
Vedmedyk [2.9K]

Answer:

Final cost = $2388.75

Step-by-step explanation:

Cost of stereo system = $2500

Sale = 9%

Cost of sale = 9% of 2500

Cost of sale = \frac{9}{100}*2500 = 0.09*2500

Cost of sale = $225

Price after sale = 2500 - 225 = $2275

Sales tax = 5% of 2275

Sales tax = 0.05 * 2275 = $ 113.75

Final cost = 2275 + 113.75 = $2388.75

7 0
3 years ago
Lm=6x+3 mn=4x-17 ln=x+14 (find the range of possible values for x, help a sister out)
katen-ka-za [31]

Answer:

Step-by-step explanation:

lm=6x+3

mn=4x-17

ln=x+14

lm+mn>ln

6x+3+4x-17>x+14

10x-14>x+14

9x>28

x>28/9

mn+ln>lm

4x-17+x+14>6x+3

5x-3>6x+3

-x>6

x<-6

lm+ln>mn

6x+3+x+14>4x-17

7x+17>4x-17

3x>-34

x>-34/3

combining x<-6 or x>28/9

5 0
3 years ago
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