what are the unknown parts?

Answer:

Step-by-step explanation:

Find what you know.

Perimeter = 64cm

Length = width*3 + 8cm

Width = unknown (use w)

Perimeter of a rectangle formula is:

P = 2*L + 2*W or P = 2(L + W)

We know P and we have a formula for L

64cm = 2[(w*3 + 8cm) + w]

64cm = 2(3w + 8cm) + 2w

64cm = 6w + 16cm + 2w

Combine like terms:

64cm = 8w + 16cm

Subtract 16cm from both sides:

64cm - 16cm = 8w

48cm = 8w

Divide both sides by 8 to isolate the variable.

48cm/8 = w

6cm = w or swap them and w = 6cm

Now take the formula for perimeter again and plug in the value for width

64cm(P) = 2(L + 6cm(W))

64cm = 2L + 12cm

Subtract 12cm from both sides:

64cm - 12cm = 2L

52cm = 2L

Divide both sides by 2 to isolate the variable:

52cm/2 = L

26cm = L or swap them and L = 26cm

Rectangle is 26cm in length and 6cm in width.  There is no height variable in a 2D rectangle, but sometimes (rarely) width is referred to as height. If this is a 3D box, than the height is equal to the width, in which case the information given might be slightly misleading.

Upvote

•

1

Downvote

Add comment

Donald S. answered • 01/06/15

TUTOR  New to Wyzant

Interactive Chemical Educator for Chemistry

SEE TUTORS LIKE THIS

The perimeter = 2l + 2w

l = 3w+8

2l+2w = 64

2(3w+8)+2w = 64

6w+2w+16 = 64

8w + 16 = 64

8w = 48

w = 6 so l = 3(6)+8 = 26

Lets set up the equation:

p + w = 327  -- equation 1

p - w = 289 -- equation 2

equation 1 + equation 2

2p = 616

p = 308

Thus the plane flies at 308 mph without the wind.

Hope that helps!

Answer: a+c=27,126

Step-by-step explanation:

Answer:

X=25

Step-by-step explanation:

Since one side equals 150 then the other also equals 150

150-50=100

Divide 100 by 4 since you have 4x

100/4=25

4(25)+50=150

1/4 x 12

1x 3 (12 has been divided from the number 3)

3

Answer:

3

Step-by-step explanation:

Turn 12 into a fraction:

[tex]\frac{1}{4}*\frac{12}{1}[/tex]

[tex]=\frac{12}{4}[/tex]

Simplify

[tex]=3[/tex]

Answer = 3

[RevyBreeze]

Answer: 4.1

Step-by-step explanation:

Answer:

4 1/10

hope this helps have a good day :)

Answer:

y= -3/2x - 5

Step-by-step explanation:

Substitute (-6,4) into equation:

y = -3/2x + c

4 = -3/2 x -6 + c

4 = 9 + c

-9

-5 = c

Hope this helps!

Answer:

no ( i think)

Step-by-step explanation:

so if i remember how to do this ratio and proportion.. ummm let me think of it as a fraction soo

3/8 = 15/45 ?

to get 15 (starting at 3) you have to multiply 5, so your guess is to multiply 8 to 5

it equals 40 not 45 so it is wrong and it is not equivalent

No.

[tex]15/3 = 5\\[/tex]

Use the 5 and multiply it by 3:8

[tex]5(3:8) = 15: 40[/tex]

It is equivalent to 15: 40.

[tex]15: 45 \neq 15: 40[/tex]

Answer:

$241000

Step-by-step explanation:

Use the formula I = Prt

I is interest (what you need to find first), P is principal (200,000), r is rate (4.1%), and t is time (5)

First convert the rate of 4.1% to a decimal by moving the decimal two places left.

4.1%  = 0.041

Next plugin the numbers into the formula and multiply to find the interest.

I = 200000(0.041)(5)

I = 41,000

Finally you need to find the balance. To find the balance, add the interest to the principal.

B = 200000 + 41000

B = 241000

Answer:

[tex]\frac{1}{a^{6} }[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , then

[tex]a^{-6}[/tex] = [tex]\frac{1}{a^{6} }[/tex]

Answer:

The ratio of the circumference to the diameter is equal to pi

Step-by-step explanation:

For circles

C = pi d   ( The circumference is equal to  the diameter times pi)

Divide each side by d

C / d = pi   The ratio of the circumference to the diameter is equal to pi

Answer:

The ratio of the circumference to the diameter is equal to pi

Answer:

a42

Step-by-step explanation:

u add multiply and divide

Every side of the left triangle is 2x longer than the right triangle

And, the angle of the left triangle stay the same as the right triangle (since when we zoom out a triangle, the angle doesn't get bigger, only the sides do)

So yes, they have a proportional relationship.

With a rhombus all 4 sides are the same length.

since one side is given as 25 we know the other 3 sides must also equal 25.

8z + 9 = 25

8z = 16

Z = 2

y-3 = 25

Y = 28

2x + 3 = 25

2x = 22

X = 11

answer: x = 11, y = 28 and z = 2

We know the figure is rhombus ; therefore all sides are equal !

Part one :-

To find value of y

→y - 3 = 25

→y = 25 + 3

→y = 28

Part two:-

To find value of x

→2x + 3 = 25

→2x = 25 - 3

→2x = 22

→x = 22/2

→x = (11 × 2)/2

→x = 11/1

→x = 11

Part three:-

To find value of z.

→8z + 9 = 25

→8z = 25 - 9

→8z = 16

→8z = 16/8

→z =(8 × 2)/8

→z = 2/1

→z = 2

Properties of rhombus :-

Formulas related to rhombus :-

Area

Perimeter

Answer:

yes she is correct because 1 kilo does equals to 1000000 mg

Answer:

Slope is (7/4)

Step-by-step explanation:

Let's use the point-slope format of a straight line equation:

y − y1 = m(x − x1)

(x, y) is (-3,-8)

(x1, y1) is (5,6)

y − y1 = m(x − x1)

-8 − (6)  = m(-3 − 5)

-14  = m(-8)

m = (14/8 or (7/4)

The slope  is (7/4)

b can be calculated by enter on e of the points in y = (7/4)x+ b and solve for b:

y = (7/4)x+ b

6 = (7/4)5+ b

6 = 35/4 + b

b = -2.75

See attached image.

If the company spends 100 pounds on advertising, it would spend 0.45 x 100 = 45 pounds on the website.

So, we can write the ratio spent on advertising to the amount spent on its website as 100:45

If we divide both numbers by a same number, we get an equivalent ratio (simplification)

100:45 = (100:5):(45:5) = 20:9

So, the ratio in its simplest form is 20:9

1)3 over 4

2)graves market

3)b+11=15

15-11

b=4

Step-by-step explanation:

1) 1 over 4 divided by 1 over 3=1 over 4 × 3=3 over 4

2)graves markets unit rate=75/12

6

hank's stores unit rate=32/5

6.4

therfore,answer should be graves market

3) b stands for the number of baskets and she has already made 11 baskets so just a quick equation would be this.☝️

Answer:

1600 boys, 2400 girls

Step-by-step explanation:

4000*4/10=400*4=1600

100-40=60

4000*6/10=400*6=2400

Answer:

first number = 2

second number =10

Step-by-step explanation:

here's how you gonna do it

we will use simultaneous equations because there are 2 conditions about the same two numbers ..

X for 1st number ... Y for the 2nd

X + Y = 12 (1)

5X + 2Y = 30 (2)

we have to make one of the variables equalled either by multiplying x in (1) by 5 ..or Y by 2 ...lets do the 2nd option

2X + 2Y = 24 lets call it (1)*

5X + 2Y = 30 (2)

if both 2Y are positive or negative.. we'll use subtraction (if both 2Y were different one's positive and other’s negative we will use addition)

(2) - (1)*

3X = 6 then divide both sides by 3

X = 2

now lets find the other value using equation (1)

2 + Y = 12

then Y = 10

Answer:

x = -4, y = -2

Step-by-step explanation:

substitute for y

2x - 5(x + 2) = 2

distribute -5

2x -5x - 10 = 2

solve

-3x - 10 = 2

add 10 on both sides

-3x = 12

divide by -3

x = -4

now substitute for x in the equation y = x + 2

y = -4 + 2

y = -2

Answer:

130.24 ft²

Step-by-step explanation:

Area rectangle:

Area Semi-Circle:

Area Total:

-Chetan K

Answer:

Please post your question.

Step-by-step explanation:

I can help! But you either need to comment your question or create another post.

Answer:

(5k-4)+2=46

(5k-4)+2-2=46-2

5k-4=44

5k-4+4=44+4

5k=48

5k/5=48/5

k=9.6

Answer:

B

Step-by-step explanation:

The Domain is the X- value so that makes it the domain and you have to order it correctly

Answer: 3/8 I think or just multiply and divide 0.375 by 1000.

Step-by-step explanation: