What is 4 2/7 * 2 1/5 Express the answer in simplest form.

Answers

Answer 1
Answer: 4 (2)/(7) *2 (1)/(5) = (30)/(7) * (11)/(5) = (330)/(35) ^((5)  = (66)/(7).
Answer 2
Answer: First, turn them into improper fractions. 4 and 2/7= 30/7, and 2 and 1/5= 11/5. 30/7*11/5= 330/25=9 and 3/7.....thats ur answerI accidentally uploaded the wrong picture. Srry.

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Someone help me with my homework

Answers

Answer:

C

Step-by-step explanation:

The answer is C both the cube and rectangular prisms have 12 edges. We can tell the first two are wrong because both have 6 sides. We can tell the last one is wrong by counting. Both shapes have over 6 edges.

Answer:

Each shape has 12 edges

Step-by-step explanation:

Counting the faces, each shape has 6 faces, which rules out choices a and b

Counting edges (NOT corners), each shape has 12 edges, which rules out choice d.

A coin is to be tossed until a head appears twice in a row. What is the sample space for this experiment? If the coin is fair, what is the probability that it will be tossed exactly four times?

Answers

Answer:(2)/(16)

Step-by-step explanation:

if the coin is tossed four times then the possible sample space is formed  

S=\left \{ HH, THH, HTHH, TTHH, HTTHH, THTHH, TTTHH, ...\right \}

For the probability that the coin is tossed only four times is when

For tossing four times sample space is

S=( HHHH HHHT HHTH HHTT

HTHH HTHT HTTH HTTT

THHH THHT THTH THTT

TTHH TTHT TTTH TTTT )

out of the above required ones are HTHH,TTHH

so the probability is (2)/(16)

You and your friends spent $141.60 at Olive Garden. If the bill was only $120 when the check came, what percent of tip did you and your friends leave at the table?

Answers

Step-by-step explanation:

Tip amount = $ 141.60  -  $120 = $ 21.60

tip percentage =  $ 21.60 / $120  x 100% = 18%

Select the x-coordinate of the vertex of the parabola defined by the function f(x) = -7x^2 + 3x + 1.

Answers

f(x) = -7x^2 + 3x + 1 \n \na=-7, \ b=3 , \ c=1 \n \n vertex(h, k) \ is \ given \  by: \n \n h = (-b)/(2a ) , \ \ k = c-(b^2)/(4a) \n \nh=(-3)/(2\cdot (-7))=(-3)/(-14)=(3)/(14)

k = 1-( 3^2)/(4 \cdot (-7)) =1-(9)/(-28)=1+(9)/(28)=1(9)/(28)=(37)/(28)\n \n \n Answer : \ Vertex =((3)/(14), (37)/(28))
 

Use the distributive property to multiply

-7 (2x - 4)

I think it's -14x + 28

Answers

-14x+28 is correct. Good job!
It is-14x + 28 way to go!

Mr. Johnson has $15,000 to invest. Part of it is put in the bank at 4 percent, and part he puts in a savings and loan at 7 percent. If his yearly (simple) is $951, how much did he invest at each rate?

Answers

Answer:

$3300 at 4%

$11700 at 7%

Step-by-step explanation:

Total investment = $15000

Total simple interest on investment = $951

Investment A:

Rate = 4% =0.04

Investment B:

Rate = 7% =0.07

Simple interest (S. I) = principal * rate * time

(S. I on investment A + S. I on investment B)

Let principal amount in investment A = A

principal amount in investment B = B

(A * 0.04 * 1) + (B * 0.07 * 1) = $951

0.04A + 0.07B = $951 - - - - (1)

A + B = $15000 - - - - (2)

from (2)

A = 15000 - B

Substitute A = 15000 - B into (1)

0.04(15000 - B) + 0.07B = 951

600 - 0.04B + 0.07B = 951

600 + 0.03B = 951

0.03B = 951 - 600

0.03B = 351

B = 351 / 0.03

B = $11700

From (2)

A + B = $15000

A + $11700 = $15000

A = $(15000 - 11700)

A = $3300