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1 year ago

The length of a rectangle is 3 inches more than three times the width. the perimeter is 94 inches. find the length and width.

1 answer:

3 0

Let length be (l) and width be (w).

According to the question, l=3w+3......equation1
And perimeter that is 2(l+w) =94........equation2

Solve these two equations, you get your answer.
l=36
w=11

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In a (blank),one ratio compares a part to a whole

Verdich [7]

Answer:

In a part-to-whole ratio, one ratio compares a part to a whole.

3 0

1 year ago

ALGEBRA Jake Duffy drove 12,568 miles

kirza4 [7]

Answer:

The cost per mile that Jack Duffy charge $0.278 per miles , i.e option B

Step-by-step explanation:

Given as :

The distance drove by Jack Duffy = d = 12,568 miles

The fixed costs totaled = $1,485.00

The variable cost totaled = $2,015.75

Let The cost per mile that Jack Duffy charge = $x cost per miles

Now, According to question

The totaled cost = The fixed costs + The variable cost

Or, The totaled cost = $1,485.00 + $2,015.75

I.e The totaled cost = $3500.75

Now,

The cost per mile that Jack Duffy charge = $\dfrac{\extrm Total cost}{\textrm Total Distance}$

I.e x = $\dfrac{3500.75}{12568}$

∴ x = $0.278 per miles

So,The cost per mile that Jack Duffy charge = x = $0.278 per miles .

Hence,The cost per mile that Jack Duffy charge $0.278 per miles , i.e option B Answer

5 0

2 years ago

What is the solution to this system of equations? Y= 2x - 3.5 x - 2y = -14

goldfiish [28.3K]

Answer:

x=7

y=10.5

Step-by-step explanation:

1. You can apply the method of substitution, as you can see below:

- Substitute $y=2x-3.5$ into the other equation and solve fo x:

$x-2(2x-3.5)=-14\\x-4x+7=-14\\x=7$

- Substitute the value of x obtain into the first equation, then the value of y is:

$y=2(7)-3.5\\y=10.5$

6 0

1 year ago

Read 2 more answers

Patty is building a rope ladder tree house she needs two 4 foot pieces of rope for the sides of the ladder she needs 6 pieces of

steposvetlana [31]

Answer:

15.5 feet

Step-by-step explanation:

Given:

Patty is building a rope ladder tree house she needs two 4 foot pieces of rope for the sides of the ladder.

She needs 6 pieces of rope each 15 inches long for the steps.

Question asked:

How many feet of rope does patty need to make the ladder ?

Solution:

She needs for the sides of the ladder = Two 4 foot pieces of rope

= 2 $\times$ 4 feet = 8 feet

She needs for the steps of the ladder = 6 pieces of 15 inches long rope

= 6 $\times$ 15 inches = 90 inches

Convert 90 inches into feet:-

12 inches = 1 feet

1 inches = $\frac{1}{12} \ feet$

90 inches = $\frac{1}{12} \times90=\frac{90}{12} =7.5\ feet$

Patty needs total rope = 8 feet + 7.5 feet

= 15.5 feet

Thus, Patty needs 15.5 feet of rope to make the ladder.

6 0

1 year ago

A survey of the students in Lance’s school found that 58% of the respondents want the school year lengthened, while 42% think it

alina1380 [7]

The margin of error of a given statistic is an amount that is allowed for in case of miscalculation or change of circumstances.

It is usually the radius or half of the width of the confidence interval of that statistic.

Given that a survey of the students in Lance’s school found that 58% of the respondents want the school year lengthened, while 42% think it should remain the same. The margin of error of the survey is ±10%.

This means that 58% ± 10% of the respondents want the school year lengthened, while 42% ± 10% think it should remain the same.

Thus, from 48% to 68% of the respondents want the school year lengthened, while from 32% to 52% think it should remain the same. 

Therefore, according to the survey data, at least 32% of students want the duration of the school year to remain unchanged, and at least 48% want the school year to be lengthened.

7 0

2 years ago