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umka21 [38]
3 years ago
7

Jake’s map shows the distance from the Bake Stars Cafe to the restaurant supply store as 3 centimeters. If the scale of the map

is 1 centimeter to 8 kilometers, what is the real distance from the shop to the store?
Mathematics
1 answer:
Stolb23 [73]3 years ago
8 0

Answer:

The real distance from shop to store is 24 kilometers.

Step-by-step explanation:

Given:

Distance from the Bake Stars Cafe to the restaurant supply store on map = 3 cm

Also Given:

Scale of the map 1 cm = 8 km

We need to find the real distance from the shop to the store.

Solution:

Now we know that;

Distance from shop to store on map =3 cm

1 cm = 8 km

3 cm = Real distance from shop to store

By using Unitary method we get;

Real distance from shop to store = 8\times3 =24 \ km

Hence The real distance from shop to store is 24 kilometers.

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38 is what percent of 84 (to the nearest percent)?
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Answer:

45.24

Step-by-step explanation:

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What is the mass in kilograms of a 100-lb person on earth ?
maksim [4K]
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4 0
3 years ago
Can anyone help?
SVEN [57.7K]

For the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Since the equation is (2k + 1)x² + 2x = 10x - 6, we collect subtract 10x from both sides and add 6 to both sides.

So, we have (2k + 1)x² + 2x - 10x + 6 = 10x - 6 - 10x + 6

(2k + 1)x² - 8x + 6 = 0

For the equation, (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, this new equation (2k + 1)x² - 8x + 6 = 0 must also have two real and equal roots.

For the equation to have two real and equal roots, its discriminant, D = 0.

D = b² - 4ac where b = -8, a = 2k + 1 and c = 6.

So, D =  b² - 4ac

D =  (-8)² - 4 × (2k + 1) × 6 = 0

64 - 24(2k + 1) = 0

Dividing through by 8, we have

8 - 3(2k + 1) = 0

Expanding the bracket, we have

8 - 6k - 3 = 0

Collecting like terms, we have

-6k + 5 = 0

Subtracting 5 from both sides, we have

-6k = -5

Dividing through by -6, we have

k = -5/-6

k = 5/6

So, for the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Learn more about quadratic equations here:

brainly.com/question/18162688

4 0
3 years ago
A sofa regularly rells for $800. The sale price is $600
sveta [45]

Because the sofa usually sells for $800, we know that's 100% of the price.

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1% = $800/100

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Next, multiply $8 by 75 to find the percent of the sofas price when it's $600.

75% = $600

We now know that $600 is 75% of the sofas original price.

100% - 75% = 25%

The percent of decrease I'm the sofas sale price is 25%.

Hope I got that right, the question was worded a little strangley so I wasn't quite sure what you were asking :)

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