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il63 [147K]
3 years ago
7

In order to make a service for four 1 3/4 cups of chopped vegetables are needed. Based on this information, determine the amount

of chopped vegetables needed to make a recipe for ten.?
Mathematics
1 answer:
Mila [183]3 years ago
6 0

For this case we propose a rule of three according to the data of the statement. To do this, we convert the mixed number into an improper fraction:

1 \frac {3} {4} = \frac {4 * 1 + 3} {4} = \frac {7} {4}cups

4 ----------> \frac {7} {4}

10 ----------> x

Where the variable "x" represents the amount of chopped of vegetables needed for 10 people.

x = \frac {10 * \frac {7} {4}} {4}\\x = \frac {\frac {70} {4}} {4}\\x = \frac {70} {16}\\x = \frac {35} {8}

This is equivalent to 4 \frac {3} {8}cups.

Answer:

4 \frac {3} {8} cups

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A recursive rule for a geometric sequence is a1=2; an= 4/9 an-1
Oxana [17]

A recursive rule for a geometric sequence:

a_1\\\\a_n=r\cdot a_{n-1}

---------------------------------------------------

a_1=2;\ a_n=\dfrac{4}{9}a_{n-1}\to r=\dfrac{4}{9}

---------------------------------------------------

The exciplit rule:

a_n=a_1r^{n-1}

Substitute:

a_n=2\left(\dfrac{4}{9}\right)^{n-1}=2\cdot\left(\dfrac{4}{9}\right)^n\cdot\left(\dfrac{4}{9}\right)^{-1}=2\cdot\left(\dfrac{4}{9}\right)^n\cdot\dfrac{9}{4}\\\\\boxed{a_n=\dfrac{9}{2}\cdot\left(\dfrac{4}{9}\right)^n}

3 0
3 years ago
ANSWER THE QUESTION IN THE PIC. WILL GIVE BRAINLIEST!
Mila [183]

Answer: i think its c 1,0763

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
QUESTION AND ANSWER IN IMAGE!
eduard
That would be Graph C

The  solution is where the 2 graphs intersect  At A and B.  
x + y + 2 = 0  transforms to  y = -x - 2 which has slope -1 and  y-intercept of -2
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8 0
3 years ago
Can somebody please help with these two questions?
Nitella [24]

Answer:

#3: x is approximately 0.37, -5.37, #4: x is approximately 4.19, -1.19

Step-by-step explanation:

You can solve using the quadratic equation or by solving with the perfect square

\frac{-b+/-\sqrt{b^{2}-4ac} }{2a} = x^{2}+5x-2=0\\ \frac{-5+/-\sqrt{5^{2}-4(1)(-2) }}{2(1)}

x is approximately 0.37, -5.37

6 0
3 years ago
Michelin Tires would like to estimate the average tire life of its Latitude Tour tire in terms of howmany miles it lasts. Assume
VARVARA [1.3K]

Answer:

6 samples

Step-by-step explanation:

Given :

Sample size, = n

Standard deviation, = 6000

Margin of Error = 2000

Confidence interval, α = 95%

Zcritical at 95% = 1.96

n = (Zcritical * σ) / margin of error

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n = 5.88

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6 0
2 years ago
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