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3 years ago

The perimeter of the picture frame is 38 inches. The width of the frame is 7 inches, what is the length?

Mathematics

1 answer:

o-na [289]3 years ago

7 0

Answer:

12 inches

Step-by-step explanation:

So you know that the perimeter of a picture frame (a rectangle) is 2 widths plus 2 lengths.

Let x= lengths and w= widths

From the question we already know that w=7, so we can set up an equation that says:

2x + 2w = 38

2x + 2(7) = 38

2x+14 = 38

2x +14 -14 = 38-14

2x = 24

2x/2 = 24/2

x= 12

Since x= lengths =12

the length of the frame is 12 inches.

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How long are the other sides

tester [92]

Answer:

10 inches.

Step-by-step explanation:

Because an isosceles has two equal sides and on different one

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3 years ago

Please help me out!!!!!

olga2289 [7]

Answer:

D. 9

Step-by-step explanation:

9 is the degree of polynomial

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2 years ago

An alloy is composed of nickel, zinc, and copper in a 7:2:9 ratio. How many kilograms of each metal is needed to make 3.8 kg of

Tamiku [17]

Ni : Zn: Cu = 7:2:9 =7x : 2x : 9x

7x+2x+9x = 3.8
18x=3.8
x=3.8/18=1.9/9≈0.21

Ni: 7x=7*0.21=1.47 ≈1.5 kg
Zn: 2x=2*0.21=0.42≈0.4 kg
Cu: 9x=9*0.21=1.89 ≈1.9 kg

Check 1.5+0.4+1.9 =3.8 True

6 0

3 years ago

Could someone answer and explain these please? Thank you!

Oksana_A [137]

Answer 1:

It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.

So the two digit number x is expressed as,

$x=(10 \times t)+(1 \times u)$

$x=10t+u$

The two digit number 'y' is obtained by reversing the digits of x.

So, $y=(10 \times u)+(1 \times t)$

$y=10u+t$

Now, the value of x-y is expressed as:

$x-y=(10t+u)-(10u+t)$

$x-y=10t+u-10u-t$

$x-y=9t-9u$

$x-y=9(t-u)$

So, $9(t-u)$ is equivalent to (x-y).

Answer 2:

It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 = $\frac{a}{1-r}$

Since, the sum of the given infinite geometric series = 200

Therefore, $\frac{a}{1-r}=200$

Since, r=0.15 (given)

$\frac{a}{1-0.15}=200$

$\frac{a}{0.85}=200$

$a=0.85 \times 200$

a=170

The nth term of geometric series is given by $ar^{n-1}$ .

So, second term of the series = $ar^{2-1}$ = ar

Second term = $170 \times 0.15$

= 25.5

So, the second term of the geometric series is 25.5

Step-by-step explanation:

8 0

3 years ago

In which situation would the appropriate unit of measure be kilometers?

lisabon 2012 [21]

Since you didn't list choices, I can only give you some guidance on the problem.

A kilometer is the length of 1000 meters. And a meter is about as tall as a normal desk height. So a kilometer is a relatively long distance compared to a desk.

It is also about half the length of a mile, or about 2 times around a normal athletic track.

Look for items that are long distance like that.

3 0

3 years ago