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GREYUIT [131]
3 years ago
6

Which is the best estimate of the product of the fractions? StartFraction 4 Over 7 EndFraction times StartFraction 8 Over 9 EndF

raction times StartFraction 14 Over 15 EndFraction
Mathematics
1 answer:
Lapatulllka [165]3 years ago
8 0

Answer:

Product = \dfrac{64}{135}

Step-by-step explanation:

The expression is as follows :

\dfrac{4}{7}\times \dfrac{8}{9}\times \dfrac{14}{15}

We need to find the product of the above expression

As 7 × 2 = 14

So, it will become :

4\times \dfrac{8}{9}\times \dfrac{2}{15}\\\\=\dfrac{4\times 8\times 2}{9\times 15}\\\\=\dfrac{64}{135}

So, the product of the given fractions is \dfrac{64}{135}.

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Teresa, Pablo, and Felipe have a total of $106 in their wallets. Pablo has 4 times what Felipe has. Teresa has $8 less than Feli
Genrish500 [490]

Answer: Felipe= 106

Teresa=98

Pablo=464

Step-by-step explanation:

Since Pablo has 4 times you do $106x4=464 and Teresa has 8 less so $106-8= $98

7 0
3 years ago
Read 2 more answers
Which expression can be used to calculateof formalin needed make this batch of 3200 pd the amount? The batch sugar 3% water 39%
Anit [1.1K]

The appropriate expression to identify the amount of formalin is: x = 3200 ÷ 100 × 44%

<h3>How to identify the amount of formalin?</h3>

To calculate the amount of formalin in this substance we must perform the following mathematical operation:

  • 3200 ÷ 100 = 32
  • 32 × 44% = 1,408

According to the above, the mathematical expression would be:

  • X = 3200 ÷ 100 × 44%

Learn more about mathematical expression in: brainly.com/question/14462529

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5 0
2 years ago
Please helpppppp
melomori [17]

Given Information:

Years = t = 35

Semi-annual deposits = P = $2,000

Compounding semi-annually  = n = 2

Interest rate = i = 6.5%  

Required Information

Accumulated amount  = A = ?

Answer:

Accumulated amount  = $515,827

Step-by-step explanation:

The future value of amount earned over period of 35 years and interest rate 6.5% with semi-annual deposits is given by

FV = PMT * ((1 + i/n)^nt - 1)/(i/n))

Where  

n = 2

i = 0.065

t = 35

FV = 2000*((1 + 0.065/2)^2*35 - 1)/(0.065/2))

FV = 2,000*(257.91)

FV ≈ $515,827

Therefore, Anthony will have an amount of $515,827 when he retires in 35 years.

6 0
3 years ago
A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of​ metal

y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

The volume of the box is equal to

V=(x-10)(y-10)5

V=930\ in^3

so

930=(x-10)(y-10)5

simplify

186=(x-10)(y-10) -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

x=y+25 ----> equation B

substitute equation B in equation A

186=(y+25-10)(y-10)

solve for y

186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

x=16+25=41

therefore

The original length was 41 inches and the original width was 16 inches

3 0
3 years ago
Find each rate and unit rate. A. 420 miles in 7 hours. B 360 customers in 30 days. C 40 meters in 16 sec. part d $7.96 for 5 pou
shtirl [24]

a. 60 miles/1 hour because 420/7

b. 12 customers/1 day because 360/30

c. 2.5 meters/1 sec because 40/16

d. $1.59/1 lb because  7.96/5


3 0
3 years ago
Read 2 more answers
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