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3 years ago

10

The scale for a map is 20 miles =1/2 inch. The distance between two towns on the map is 3 and 3/4 inches. What is the actual dis

tance between these towns?

1 answer:

Fofino [41]3 years ago

4 0

Answer:

okbvghcfgcgfxdxdfffij,mhb

Step-by-step explanation:

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30 POINTS NEED HELP

KatRina [158]

a. The expression y=5x represent the number of small marbles she has.

b. The expression z=3x+2 represents the number of large marbles she has.

c. Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Step-by-step explanation:

a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.

Medium marbles = x

Let,

Small marbles = y

According to given statement;

She has five times as many small marbles as medium marbles.

y = 5x Eqn 1

The expression y=5x represent the number of small marbles she has.

b. Write an algebraic expression to represent the number of large marbles she has.

Let,

Large marbles = z

The number of large marbles is two more than three times the number of medium marbles.

z = 3x+2 Eqn 2

The expression z=3x+2 represents the number of large marbles she has.

c. If Amy has a total of 560 marbles, how many of each size does she have?

x+y+z= 560 Eqn 3

Putting value of y and z from Eqn 1 and 2 in Eqn 3

$x+(5x)+(3x+2)=560\\x+5x+3x+2=560\\9x=560-2\\9x=558$

Dividing both sides by 9

$\frac{9x}{9}=\frac{558}{9}\\x=62$

Putting x=62 in Eqn 1

$y=5(62)\\y=310$

Putting x=62 in Eqn 2

$z=3(62)+2\\z=186+2\\z=188$

Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

5 0

3 years ago

Robert ran 3 1/3 mph for 3/4 of an hour. How far did he run?

matrenka [14]

Answer:

2 ½ miles

Explanation:

mph = miles per hour, which means that if robert had run for the full 1 hour, he would have run 3 ⅓ miles.

however, since he only ran for ¾ of an hour, which is equal to 0.75, we can multiply the 3 ⅓ miles by 0.75 to get 2.5 or 2 ½ miles.

i hope this helps! :D

7 0

3 years ago

Select each expression that is equivalent to 3/16 if x = 3/4

iren2701 [21]

Answer:

Step-by-step explanation:

B

3 0

3 years ago

the temperature in Portland, Marine, reached -3.5ºF one day last winter. Between with two integers does the temperature lie?

Rzqust [24]

It lies between -3 and -4.

An integer is any whole number, positive or negative.

3 0

3 years ago

The work of a student to solve the equation 2(5y − 2) = 12 + 6y is shown below:

jolli1 [7]

We know that Step 1 is correct, because it is just a restatement of the equation. Therefore, we can eliminate Step 1:

2(5y – 2) = 12 + 6y

In Step 2, the student tried using the Distributive Property. The Distributive Property can be written as one of the two following formulas:

a(b + c) = ab + ac
a(b – c) = ab – ac

In this case, we'll use the second formula. Substitute any known values into the equation above and simplify:

2(5y – 2) = 2(5y) – 2(2)
2(5y – 2) = 10y – 4

In Step 2, the student calculated 2(5y – 2) to equal 7y – 4. However, we have just proven that 2(5y – 2) is equal to 10y – 4.

The student first made an error in Step 2, and the correct step is:

Step 2: 10y – 4 = 12 + 6y

I hope this helps!

8 0

3 years ago