PLEASE HELP; Part 1Iris made a large model of a butterfly. The actual butterfly has a body length of 3 inches and and wing span of 8 inches. The wing span in the model is 32 inches.

Which proportion shows how long the butterfly body should be for the model?

A.8/3=x/32

B.3/32=8/x

C.4/x=32/3

D.3/8=x/32

Part 2

Based on the information from Part 1, determine whether each statement is True or False.

1.The length of the butterfly body in the model should be 15 inches. TRUE OR FALSE

2.Iris can make the model out of a piece of cardboard measuring 13 x 36. TRUE OR FALSE

3.If the wingspan on the model was 22 inches, Iris could make the body 8 inches. TRUE OR FALSE

4.If Iris made the body first and it was 18 inches long, the wingspan would need to be 60 inches.

Answers

Answer 1

Answer: The actual butterfly and the model are similar.

The ratio of corresponding parts of similar figures is the same.

The ratio of the fly's wingspan to that of the model is 8 to 32 or 8/32.

The ratio of the fly's body to that of the model is 3 is to x where x is the length of the fly model's body.

3/x = 8/32

That proportion does not appear in the options but a proportion that is equivalent to it does.

3/x = 8/32 cross multiplies to 3*32 = 8*x

Looking at option D which is 3/8 = x/32, notice that it cross multiplies to 8*x = 3*32 .

Therefor, option D is the same as the proportion and is the answer to the question.

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Solve for j h-8/j=k solve in literal equations

Answers

given that

$(h - 8)/(j) = k$

multiply through by j, sinceit'stheL.C.M

thus

$j * (h - 8)/(j) = k * j$

cancel out, leaving

$h - 8 = jk$

making j the subject by dividing through by k

$(h - 8)/(k) = (jk)/(k)$

$j = (h - 8)/(k)$

as the final expression for j

Answer:

J=h-19/k

Step-by-step explanation:

Which equation has every number as a solution?A. 4x = 4x + 1
C. 4(x+1)= 4x+1
B. 4x + 1 = 4x - 1
D. 4(x+1) = 4x + 4

Answers

Answer:

the answer is D

Step-by-step explanation:

the equation works with every number placed where the x is, for example:

4(5+1)= 4×5 + 4

4×6=20+4

24=24

but it also works with

4(11+1)= 4×11 + 4

4×12=44+4

48=48

and it also works with every possible number you can think!

Answer:

Step-by-step explanation:

Lets look at equation D:

4(x + 1) = 4x + 4

4x + 4 = 4x + 4.

The left side is identical to the right so

you can put x equal to any number and this equation will be true.

Each house will be built in 5\6 of an acre. How much land would be needed for 7 houses?

Answers

all u do is multiply 7 x 5/6 which is 5.83333333333 so thats ur answer..
hope its right

Add.Your answer should be an expanded polynomial in standard form.
(-t^4 – 5t^3– 10t^2) + (9t^3+ 3t^2– 1) =

Answers

According to given question, The simplified polynomial in standard form is: $-t^4 + 4t^3 - 7t^2 - 1$

To add the two polynomials and simplify, we'll combine like terms:

$(-t^4 - 5t^3 - 10t^2) + (9t^3 + 3t^2 - 1)$

In mathematics, a polynomial is an algebraic expression consisting of variables (also known as indeterminates) and coefficients, combined using addition, subtraction, and multiplication operations. The variables are raised to non-negative integer powers, and the coefficients are constants that multiply the variables. The term "polynomial" comes from the Latin words "poly" (meaning "many") and "nomial" (meaning "term").

Step 1: Combine the terms with $t^4 and t^3:$

$(-t^4) + (9t^3 - 5t^3) - 10t^2 + 3t^2 - 1$

Step 2: Combine the $t^3$ terms and the $t^2$ terms:

$(-t^4) + (4t^3) - 7t^2 - 1$

So the simplified polynomial in standard form is:

$-t^4 + 4t^3 - 7t^2 - 1$

To know more about polynomial here

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Answer:

$- {t}^(4) + 4 {t}^(3) - 7 {t}^(2) - 1$

Step-by-step explanation:

$( - {t}^(4) - 5 {t}^(3) - 10 {t}^(2) ) + (9 {t}^(3) + 3 {t}^(2) - 1) \n = - {t}^(4) - 5 {t}^(3) - 10 {t}^(2) + 9 {t}^(3) + 3 {t}^(2) - 1 \n = - {t}^(4) + 9 {t}^(3)- 5 {t}^(3) + 3 {t}^(2) - 10{t}^(2) - 1 \n = - {t}^(4) + 4 {t}^(3) - 7 {t}^(2) - 1$

explain how you can use multiplication to find the quotient 3/5 divided by 3/15. then evaluate the expression

Answers

we know that

Dividing is the opposite of multiplying. Therefore, dividing by a fraction can be accomplished by multiplying by its reciprocal

$((a)/(b))/((c)/(d)) =(a)/(b)*(d)/(c)$

in this problem we have

$(a)/(b)=(3)/(5)\n \n(c)/(d)=(3)/(15)$

substitute in the formula above

$((3)/(5))/((3)/(15)) =(3)/(5)*(15)/(3)=3$

therefore

the answer is

$3$

$(3)/(5)$ ÷ $(3)/(15)$

⇒ $(3)/(5)$ × $(15)/(3) = (45)/(15) = 3$

What is the volume of the rectangular prism?183 in³

234 in³

540 in³

784 in³
rectangular prism with length labeled 18 in., width labeled 10 in. and height labeled 3 in.

Answers

The requried volume of the given rectangular prism is given as 540 in³. Option C is correct.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profilearea multiplied by the length at which that profile is extruded.

Here,
The volume of a rectangular prism is given as,
= length * width * height
= 18 * 10* 3
= 540 in³

Thus, the requried volume of the given rectangular prism is given as 540 in³. Option C is correct.

Learn more about Volume here:

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formula is l x w x h
18x10x3=540
540in^3

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