Pablo folds a straw into a triangle with side lengths of 4x2 – 3 inches, 4x2 – 2 inches, and 4x2 – 1 inches. The perimeter of the triangle is 12x2 – 6 inches. If x = 1.5, what was the length of the straw before it was folded?

Answers

Answer 1

Answer: The perimeter is the sum of the lengths of the traingle. So,
P = 12x2 - 6
Plugging in the given value of x,
P = 12 (1.5)^2 - 6
P = 21 inches

Assuming that the ends of the straw are not overlapping in forming the triangle, the perimeter is just equal to the original length of the straw.

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What is the answer to 8x+2(y+13)=10

How do you factor 8y^3+316

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The probability of having a winning raffle ticket is 20%. If you bought 50 tickets, how many winning tickets should you expect to have A.3 tickets B.8 tickets C.10 tickets D.20 tickets

Answers

20% can be represented as 1/5.

Therefore you're expected to win 1 ticket out of every 5 you purchase. So if you purchase 50 you can expect to win 10 tickets. Therefore the answer is C.

Simplify square root of 5 multiplied by the cube root of 5.5 to the power of 5 over 6
5 to the power of 1 over 6
5 to the power of 2 over 3
5 to the power of 7 over 6

Answers

Answer:

5 to the power of 5 over 6 = $5^{(5)/(6)}$

Step-by-step explanation:

1)Let's define some properties about exponent:

$a^{(b)/(c)}=\sqrt[c]{a^(b)}$

For example :

$4^{(1)/(2)}=\sqrt[2]{4^(1)}=\sqrt[2]{4}=√(4)=2$

$2^{(6)/(3)}=\sqrt[3]{2^(6)}=\sqrt[3]{64}=4$

2)Another property of exponent is :

$(a^(b)).(a^(c))=a^(b+c)$

For example :

$(4^(2)).(4^(3))=4^(2+3)=4^(5)=1024$

This means that when we have two exponential functions with the same base that are multiplying between them, we can sum the exponents in order to make a new exponential function with the same base.

Using this two properties we can solve the problem.

The expression is:

$(√(5)).(\sqrt[3]{5})$

Using the two properties :

$(√(5)).(\sqrt[3]{5})=(5^{(1)/(2)}).(5^{(1)/(3)})=5^{(1)/(2)+(1)/(3)}$

Now, $(1)/(2)+(1)/(3)=(5)/(6)$

Therefore, the final expression is

$5^{(1)/(2)+(1)/(3)}=5^{(5)/(6)}$ ⇒

$(√(5)).(\sqrt[3]{5})=5^{(5)/(6)}$

The correct answer is :

5 to the power of 5 over 6.

Simplify 3j - {2k - [5h - (3j + k)]}.-3h - 5k
3h - 5k
5h - 3k
-5h - 3k

Answers

If you would like to simplify 3j - {2k - [5h - (3j + k)]}, you can do this using the following steps:

3j - {2k - [5h - (3j + k)]} = 3j - {2k - [5h - 3j - k]} = 3j - {2k - 5h + 3j + k} = 3j - 2k + 5h - 3j - k = - 3k + 5h = 5h - 3k

The correct result would be 5h - 3k.

Answer:

to simplify 3j - {2k - [5h - (3j + k)]}, you can do this using the following steps:

3j - {2k - [5h - (3j + k)]} = 3j - {2k - [5h - 3j - k]} = 3j - {2k - 5h + 3j + k} = 3j - 2k + 5h - 3j - k = - 3k + 5h = 5h - 3k

The the answer is 5h - 3k.

Step-by-step explanation:

Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has verticesX'(–3, 1), Y'(0, 0), and Z'(–2, –1). Which rule describes the transformation?

Answers

Answer:

Rotation about 90° counter clockwise (x , y) →→ ( -y, x ).

Step-by-step explanation:

Given : Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has vertices X'(–3, 1), Y'(0, 0), and Z'(–2, –1).

To find : Which rule describes the transformation.

Solution : We have given

vertices X(1, 3) →→ X'(–3, 1)

Y(0, 0) →→ Y'(0, 0),

Z(–1, 2) →→ Z'(–2, –1).

Here , we can see in each coordinates value of y become -x and x become y.

(x , y) →→ ( -y, x ) this the rule of rotation about 90° counter clockwise.

Therefore, rotation about 90° counter clockwise (x , y) →→ ( -y, x ).

the rule is (x - 3, y - 3).

Jim and Jackie are married with three children at home and a mortgage. Jim’s net pay per year is $67,000 and Jackie does not have income. Their mortgage payment of $2,800 includes insurance on their home. They have additional monthly expenses of $2,700.Jim contributes 15% of his earnings to a retirement fund and they have $5,000 in savings. There is a $500,000 life insurance policy on Jim and a $100,000 policy on Jackie.

As their financial advisor, what part of Jim and Jackie’s financial plan would you encourage them to work on?

Answers

Jim and Jackie should work on their plan for managing income. The correct option is A.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

They are currently spending too much money and they should either lower their costs or Jackie will have to find a job:

Jim's net pay = $67,000

Jackie's net pay = $0

total monthly expenses = $2,800 (mortgage and extras) + $2,700 other expenses = $5,500 x 12 months = $66,000

Since Jim contributes 15% of his income to a retirement fund, they are currently having a deficit = net income - total expenses = ($67,000 x 85%) - $66,000 = $56,950 - $66,000 = -$9,050

They will not to able to handle this deficit for a long time, so they should decide which expenses to cut (out of the $2,800 additional expenses).

Therefore, Jim and Jackie should work on their plan for managing income. The correct option is A.

To know more about an expression follow

brainly.com/question/25623677

#SPJ5

The savings and life insurance on Jackie

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