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2 years ago

On one map of a town, the scale from the town to the map is 12mi:

Mathematics

1 answer:

Yuri [45]2 years ago

6 0

The distance between the school and the library is less. Then the library is closer to school.

<h3>What is dilation?</h3>

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

On one map of a town, the scale from the town to the map is 12mi:3cm.

The school is 2.5cm from the grocery store on this map.

Then the distance between the school and the grocery store will be

⇒ (12 / 3) x 2.5

⇒ 10 miles

On a different map of the same town, the scale from the town to the make is 12mi: 2cm.

The school is 1.5cm from the library on that map.

Then the distance between the school and the library will be

⇒ (12 / 2) x 1.5

⇒ 9 miles

Thus, the distance between the school and the library is less.

Then the library is closer to school.

More about the dilation link is given below.

brainly.com/question/2856466

#SPJ1

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Kayson mixes 300 milliliters ( mL ) (mL) of spinach, 200mL of berries, and 42mL of dressing to make a salad. There are s s milli

BigorU [14]

Answer:

X= (300 s + 200 b + 42 d )mg

Step-by-step explanation:

Amount of spinach=300 ml

Amount of berries =200 ml

amount of dressing = 42 ml

Vitamin C in one ml of spinach = s mg

Vitamin C in 300 ml of spinach = 300 s mg

Vitamin C in one ml of berries=b mg

Vitamin C in 200 ml of berries = 200 b mg

Vitamin C in one ml of dressing = d mg

Vitamin C in 42 ml of dressing = 42 d mg

Let total vitamin C be = x

Then

X= (300 s + 200 b + 42 d )mg

is the required expression

4 0

3 years ago

What is the least possible value of (x+1)(x+2)(x+3)(x+4)+2019 where x is a real number?

Mrrafil [7]

The least possible value of (x+1)(x+2)(x+3)(x+4)+2019 where x is a real number is 2018

<h3>What is an Expression ?</h3>

An expression is a mathematical statement consisting of variables , constant and mathematical operators.

The expression given is

(x+1)(x+2)(x+3)(x+4)+2019

To find the minimum value

(x+1)(x+2) = ( x² +3x +2) = ( x +5/2)² - 9/4

(x+3)(x+4) = (x² +7x +12) = ( x +5/2)² -1/4

(x+1)(x+2)(x+3)(x+4) = ( x +5/2)⁴ - 5/2 ( x +5/2)² +9/16

Considering ( x +5/2)² = y

(x+1)(x+2)(x+3)(x+4) = y² - 5/2y + 9/16

(x+1)(x+2)(x+3)(x+4) = ( y - 5/4)² - 1

(x+1)(x+2)(x+3)(x+4) = ( ( x +5/2)² -5/4)² - 1

The minimum value when x is a real number is -1

( x +5/2)² -5/4) = 0

-1 +2019 = 2018

x has two possible real solution

and the least possible value of (x+1)(x+2)(x+3)(x+4)+2019 where x is a real number is 2018.

To know more about Expression

brainly.com/question/14083225

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4 0

2 years ago

Read 2 more answers

Compare the medians in an equilateral triangle with those in a scalene triangle

scoray [572]

Scalene triangle is a triangle with no equal sides or angles.
Equilateral triangle is a triangle where all 3 sides are equal ( AB = BC = AC ).
A median is the line segment that joins any vertex of a triangle with the mid-point of its opposite side.
Answer:
- In equilateral triangles, the median bisects the angle at the vertex. The length of medians is an equilateral triangle is always equal.
- In a scalene triangle, all medians are of different length.

6 0

3 years ago

How do I answer the question ?<br> I really don't know what to do.

Eva8 [605]

Joe answered the equation correctly. Alexandra didn't follow order of operations. (Multiply,divide,add,subtract) in that order..... I hope this makes sense to you

4 0

3 years ago

Read 2 more answers

Suppose that the owner of a fast food restaurant recently purchased a new soft drink machine, designed to dispense 16 oz for a s

Mumz [18]

Answer:

Step-by-step explanation:

Let X be amount dispensed

X is N(16, sigma)

$H_0: Mean =16\\H_a : Mean$

(One tailed test)

Count, N: 7

Sum, Σx: 110.4

Mean, μ: 15.771428571429

Variance, s^2 0.039183673469388

s=0.1979

Test statistic = Mean diff/std error where std error = s/sqrt n

=-2.828

p value = 0.01501

p <0.05

Hence we conclude that the manager suspects that the machine may be under filling the cups is confirmed and evident statistically

8 0

3 years ago