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3 years ago

The length of a rectangle is 22 feet longer than the width. the perimeter is 1616 feet. find the dimensions of the rectangle.

1 answer:

7 0

So we can setup variable equations for this:
so we're given that the length is 22feet longer than the width!
so as an expression length is equal to 22+w
and width as an expression is just w
so the formula for the perimeter for a rectangle is 2l+2w=perimeter
so fill it in now!
1616=2(22+w)+2w
1616=44+2w+2w
1616=44+4w
1572=4w
divide by four..
w=393
and length is simply 22 more than that as stated in the question!
so length is 415
dimensions are: 415x393

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Eric has two number cubes each labeled 1 to 6. Eric is going to conduct an experiment by tossing the cubes a total of 180 times.

Lera25 [3.4K]

The possible outcomes are:
$1,1~~1,2~~1,3~~1,4~~1,5~~1,6$
$2,1~~2,2~~2,3~~2,4~~2,5~~2,6$
$3,1~~3,2~~3,3~~3,4~~3,5~~3,6$
$4,1~~4,2~~4,3~~4,4~~4,5~~4,6$
$5,1~~5,2~~5,3~~5,4~~5,5~~5,6$
$6,1~~6,2~~6,3~~6,4~~6,5~~6,6$

The possible products are:
$1~~2~~3~~4~~5~~6$
$2~~4~~6~~8~~10~~12$
$3~~6~~9~~12~~15~~18$
$4~~8~~12~~16~~20~~24$
$5~~10~~15~~20~~25~~30$
$6~~12~~18~~24~~30~~36$

a) There are 36 outcomes.

b) 5/36 * 180 = 25

c) 6/36 * 180 = 30

d) 16/36 * 180 = 80

7 0

3 years ago

What is -20 and 3/4 as a decimal.

REY [17]

Answer:

20.75

Explanation:

20+3/4

= 20.75

= 2075

6 0

3 years ago

NO LINKS OR ASSESSMENT!!!

Dafna1 [17]

Answer:

G(x)=2x+1 , vertical stretch by 2 units and shifted 1 unit up

Given :

Original function f(x)=x

To find :

Function G whose graph is a vertical stretch by 2 and move one unit up

We use the given function to for vertical stretch and shifting up

for Vertical stretch multiply the factor by f(x)

f(x) becomes 2f(x)

so the function becomes 2x

For moving up , we need to add the units at the end of the function

f(x)+1

2x+1

Hence, G(x)=2x+1

Learn more : /brainly.com/question/4521517

Step-by-step explanation:

4 0

3 years ago

Set up an equation and solve the following problem.

nordsb [41]

Answer:

The speed of Dave is 42 miles per hour

The speed of Kent is 46 miles per hour .

Step-by-step explanation:

Given as :

The distance cover by Dave = d = 210 miles

The time taken by Dave = t hour

The speed of Dave = s miph

Again

The distance cover by Kent = D = 230 miles

The time taken by Kent = T hour

The speed of Kent = S = (s + 4 ) miph

For Dave

Time = $\dfrac{\textrm Distance}{\textrm Speed}$

So, t = $\dfrac{\textrm d miles}{\textrm s miph}$

Or, t = $\dfrac{\textrm 210 miles}{\textrm s miph}$

For Kent

Time = $\dfrac{\textrm Distance}{\textrm Speed}$

So, T = $\dfrac{\textrm D miles}{\textrm S miph}$

Or, T = $\dfrac{\textrm 230 miles}{\textrm (s + 4) miph}$

∵ Time taken by both is same

So, t = T

Or, $\dfrac{\textrm 210 miles}{\textrm s miph}$ = $\dfrac{\textrm 230 miles}{\textrm (s + 4) miph}$

Or, 210 × (s + 4) = 230 × s

Or, 210 × s + 210 × 4 = 230 × s

Or, 210 × 4 = 230 × s -210 × s

Or, 210 × 4 = 20 × s

∴ s = $\dfrac{840}{20}$

i.e s = 42 miph

So, The speed of Dave = s = 42 miles per hour

Again

The speed of Kent = S = (s + 4 ) miph

i.e S = 42 + 4

or, S = 46 miph

So, The speed of Kent = S = 46 miles per hour

Hence,The speed of Dave is 42 miles per hour

And The speed of Kent is 46 miles per hour . Answer

8 0

3 years ago

Cheryl bought 16 pounds of apples for $12. How much did it cost per

algol [13]

Answer:

.75

Step-by-step explanation:

$12 / 16 = $0.75

8 0

2 years ago

Read 2 more answers