Applying properties to write equivalent expressions for 2x+5y+5(2x+5y)

Mathematics

1 answer:

levacccp [35]3 years ago

7 0

Solving expression $2x+5y+5(2x+5y)$ we get $12x+30y$

Step-by-step explanation:

We need to solve the expression:

$2x+5y+5(2x+5y)$

Solving:

Multiplying 5 with terms inside the bracket:

$2x+5y+5(2x+5y)\\=2x+5y+10x+25y\\Combining\,\,like\,\,terms:\\=2x+10x+5y+25y\\=12x+30y$

So, Solving expression $2x+5y+5(2x+5y)$ we get $12x+30y$

Keywords: Solving Expressions

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Claire traveled 701 miles. She drove 80 miles every day. On the last day of her trip she only drove 61 miles. Write and solve an

mina [271]

Answer:

Claire traveled for 9 days.

Step-by-step explanation:

Given:

Total Distance traveled = 701 miles

Distance traveled each day = 80 miles

Distance traveled on last day = 61 miles

We need to find the number of days Claire traveled.

Solution:

Let the number of days Claire traveled be denoted by 'd'.

Now we can say that;

Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.

framing in equation form we get;

$80d+61=701$

Now Subtracting both side by 61 using Subtraction Property of Equality we get;

$80d+61-61=701-61\\\\80d = 640$

Now Dividing both side by 80 we get;

$\frac{80d}{80}=\frac{640}{80}\\\\d=8$

Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total 9 days of travel.

7 0

3 years ago

Some friends plotted the locations of their house on a map. brianna's house is at (1,6), Jordan's house is at (5,3). What is one

Rufina [12.5K]

Let
A (1,6)------> location brianna's house on a map
B (5,3)------> location Jordan's house on a map

we know that
One possible path from brianna's house to jordan's house it's a straight line ( the shortest distance)

using a graph tool
see the attached figure

find the distance points AB
d=√[(y2-y1)²+(x2-x1)²]-----> d=√[(3-6)²+(5-1)²]----> d=√[3²+4²]
d=√25----> d=25 units

the distance from brianna's house to jordan's house is 25 units