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nekit [7.7K]
3 years ago
8

2 A chef planning for a large banquet

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer:

320

Step-by-step explanation:

2 out of 5 is the ratio 2/5.

We want the denominator to become 800.

\dfrac{800}{5} = 160

160 \times 2 = 320

\dfrac{2}{5} = \dfrac{2 \times 160}{5 \times 160} = \dfrac{320}{800}

Since 2/5 = 320/800, he will need to prepare 320 cups of soup.

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Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.
tester [92]

Given:

Polynomial is 3x^2+15x-56.

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

3x^2+15x-56+(x-8)^2

=3x^2+15x-56+x^2-2(x)(8)+8^2    [\because (a-b)^2=a^2-2ab+b^2]

=3x^2+15x-56+x^2-16x+64

On combining like terms, we get

=(3x^2+x^2)+(15x-16x)+(-56+64)

=4x^2-x+8

Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is 4x^2-x+8.

7 0
3 years ago
Need Helpppp as soon as possible
vazorg [7]

Answer:

its a 30% increase

Step-by-step explanation:

If 250 is 100% then you need an increase by 75 to get to 325

250*.3 = 75

75 is 30% of 250

250 + 30% (75) = 325

8 0
3 years ago
Read 2 more answers
Is 143 a prime number
tensa zangetsu [6.8K]
143 is composite. To be prime it has to have only 2 divisors i.e it's self and one but since it has 4 divisors ( 143, 1, 11 and 13) it is composite.
5 0
3 years ago
Read 2 more answers
Question
AlekseyPX

Answer:

The population mean is 5 volts

Step-by-step explanation:

Output voltage is assumed to be normally distributed, with standard deviation 0.25 Volts

s=0.25

n = 8

H_0:\mu = 5\\H_a:\mu \neq 5

Sample mean = \bar{x}=4.85

Since n < 30 and population standard deviation is unknown

So, we will use t test

Formula : t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}

t = \frac{4.85-5}{\frac{0.25}{\sqrt{8}}}

t=-1.69

Refer the t table for p value

Degree of freedom = n-1 = 8-1 = 7

So,t_{(df,\alpha)}=t_{7,0.05}=2.365

P value >α

So, We are failed to reject null hypothesis

Hence The population mean is 5 volts

7 0
3 years ago
What is the value expression of the -9 x 2.2
vovangra [49]

Answer:

Answer to 2.2 Absolute value Functions 5)Function Graph sketch 1 Set each expression inside absolute the value o and solve for x 2...

Step-by-step explanation:

5 0
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