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mote1985 [20]
4 years ago
14

2/5 (3r+4) =10 solve for r

Mathematics
2 answers:
MrRissso [65]4 years ago
8 0

Answer:

x=7

Step-by-step explanation:

✯Hii✯

↪  expand the brackets

↪  then solve normally

↪  x will be 7

❤Kathy❤

vfiekz [6]4 years ago
8 0

For this case we have the following equation:

\frac {2} {5} * (3r + 4) = 10

We must clear the variable "r":

We multiply by\frac {2} {5} * (3r + 4) = 10 \ frac {5} {2} on both sides of the equation:

\frac {2} {5} * \frac {5} {2} (3r + 4) = 10 * \frac {5} {2}\\3r + 4 = \frac {50} {2}\\3r + 4 = 25

We subtract 4 on both sides of the equation:

3r + 4-4 = 25-4\\3r = 21

We divide between 3 on both sides of the equation:

\frac {3r} {3} = \frac {21} {3}\\r = 7

Answer:

r = 7

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Step-by-step explanation:

y - 8 = -2/3(x + 3)

the solution is the 4th option

4 0
3 years ago
Find the value of f(5) for each function. f(x) = 6 + 3x
frozen [14]

Answer:

f(5) = 21

Step-by-step explanation:

Step 1: Define

f(x) = 6 + 3x

f(5) is x = 5

Step 2: Substitute and Evaluate

f(5) = 6 + 3(5)

f(5) = 6 + 15

f(5) = 21

3 0
3 years ago
A crew is building 13 miles of road. they complete half a mile every week. what is the equation for figuring out how long it wil
Crazy boy [7]
Let x be the weeks worked on building the road

13=(1/2)x
13*2=x
26 days=x

In the duration of 26 weeks, the road should be built.

Hope I helped :)
4 0
3 years ago
Read 2 more answers
Rosa has a rectangle shaped backyard where the length is two less than twice the width. If the area of the garden is 420 square
Rudiy27
The expression for the area of a rectangle is given by:
 A = (w) * (l)
 Where,
 l: long
 w: width
 the length is two less than twice the width:
 l = 2w-2
 Substituting the values:
 420 = (w) * (2w-2)
 We rewrite the expression:
 210 = (w) * (w-1)
 210 = w ^ 2-w
 w ^ 2-w-210 = 0
 The roots of the polynomial are:
 w1 = -14
 w2 = 15
 We discard the negative root.
 Width:
 w = 15
 Long:
 l = 2w-2
 l = 2 (15) -2
 l = 30-2
 l = 28
 Answer:
 the dimensions of Rosa's garden are:
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5 0
4 years ago
On a field trip, there are 5 adult chaperones for every group of 20 students. There are 150 people in total on the trip. What pe
denis23 [38]

Answer:

80% of the people on the trip are children.

Step-by-step explanation:

To determine the percentage of the people on the trip that are children,

First, we will determine how many of the people are children.

From the question,

There are 5 adult chaperones for every group of 20 students, that is, out of 25 people, 5 are adult chaperones and 20 are students.

From the question, there are 150 people in total in total.

Let the number of children be x

If there are 20 students (children) in 25 people

Then, there will be x children in 150 people

x = (150 × 20) / 25

x = 120

Hence, there are 120 children.

To determine the percentage of the people on the trip that are children,

we will divide the number of children by the total number of people and then multiply by 100%

Number of children = 120

Total number of people = 150

∴ The percentage of the people on the trip that are children is

(120/150) × 100% = 0.8 × 100% = 80%

Hence, 80% of the people on the trip are children.

7 0
3 years ago
Read 2 more answers
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