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Genrish500 [490]
3 years ago
12

A rectangle has a length that is 4 times the width, w. If the perimeter of the rectangle has a perimeter of 40

Mathematics
1 answer:
Zolol [24]3 years ago
5 0

Answer:  16cm

Step-by-step explanation:

l = 4w

2l + 2w = p

2(4w) + 2w = 40

8w + 2w = 40

10w = 40

w = 4 cm

l = 4w = 4(4) = 16cm

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A truck uses 1 gallon of diesel for every 12 miles traveled. The amount of diesel left in the gas tank, r gallons, after traveli
Snezhnost [94]

<em>The question has missing details. However, general questions that could be asked is as follows:</em>

<em>(1) The number of miles traveled after using (say) 5 gallons</em>

<em>(2) The number of gallons used after traveling for (say) 36 miles</em>

Answer:

See Explanation

Step-by-step explanation:

Given

s = 120 - 12r

A linear equation is represented as:

y = c + mx

Where

c =y\ intercept and

m = slope.

c, in this question represents the initial capacity of the tank.

So, the initial capacity is 120 liters

Solving (a): r = 5

s = 120 - 12r

s = 120 - 12 * 5

s = 120 - 60

s = 60

<em>60 miles traveled</em>

Solving (b): s = 36

s = 120 - 12r

36 = 120 - 2r

Collect like terms

2r =120 -36

2r =84

Solve for r

r = 42

<em>42 gallons used</em>

4 0
3 years ago
Troy received a gift of 100 shares of stock from his grandmother on July 1 of the current year. Troy's grandmother had owned the
kumpel [21]

Troy has a basis of $39 per share

total value of shares is $3900

Step-by-step explanation:

On July 1, the date of the gift, the stock was selling for $39 per share.

Troy's basis in the stock  = current value of shares

No need to consider the base rate which is in 15 years ago

The current rate of 100 shares =  $39 × 100 =  $3900

Troy has a basis of $39 per share

total value of shares is $3900

4 0
3 years ago
During a 10 day period the balance of Marta's checking account dropped by $290.Write a division problem during that 10-day perio
Margarita [4]
290÷10=29 ........................

I think
8 0
3 years ago
Read 2 more answers
NEED HELP! Given statements:
Nana76 [90]

Answer:

B

Step-by-step explanation:

Its says an obtuse angel is not acute and B is abtuse which means  B is not a cute hope this helps :)

8 0
3 years ago
Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct o
inn [45]

Answer: neither direct variation nor inverse variation.


Explanation:


1) The relation between two variables, y and x, is a direct variation if and only if the quotient between them, y/x, is constant. This is: y / x = k or, equivalently, y = kx.


Note that if y / x is constant, x / y is also constant.


In a direct variation, when x increases, y increases, and when x decreases, y decreases.


2) The relation between two variables, y and x, is an inverse variation if and only if their product, y×x is constant. This is: y × x = k or, equivalently y = k /x or x = k / y.


In an inverse variation when one of the variables increases the other decreases.


3) Writhe the given table and study whether the conditions for direct or inverse variation are met:

x      y              y/x                             y×x

-6    -72           -72/(-6) = 12             (-6)(-72) = 432

-4    -47           -47 / (-4) = 11.75       (-4)(-47) = 188

-3    -36           -36 / (-3) = 12           (-3)(-36) = 108

1       12             12 / 1 = 12                (1)(12) = 12


Conclusions;


a) Since neither y / x nor y×x have the same result for every pair, the relation is neither direct nor inverse.


b) Note that if the third pair were (-4, -48) instead of (-4, -47), y / x would be 12, which make a direct variation. In this case the function that modeled it would be:

         y = 12x.

8 0
3 years ago
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