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love history [14]

4 years ago

9

A family has $35 to spend on dinner. They spend $18 on entrees. Side dishes are $3 each. What is the greatest number of side dis

hes they can buy?

1 answer:

natta225 [31]4 years ago

6 0

35-18=17
The most side dishes that they could get is 5
5*3=15
15+17=33

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Help help help help help help help help help help help help help help help help help help

kvv77 [185]

Answer:

Step-by-step explanation:

Part 1

P(z < -1.45)

Using the z score table

P =

Part 2

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

a) P(X >52)

x = 52

Mean = 60

Standard deviation = 8

z = 52 - 60/8

z = -1

P-value from Z-Table:

P(x<52) = 0.15866

P(x>52) = 1 - P(x<52) = 0.84134

b) P(48 < x < 64)

5 0

3 years ago

(50 points and brainliest.Need help ASAP)

Aleksandr-060686 [28]

Answer: " 2x (2x - 1) (x + 1) " .

______________________________________

Step-by-step explanation:

______________________________________

Given:

f(x) = 9x³ + 2x² − 5x + 4 ;

g(x) = 5x³ − 7x + 4 ;

______________________________________

What is: f(x) − g(x) ?

______________________________________

Plug in: " 9x³ + 2x² − 5x + 4 " for: " f(x) " ;

and: " (5x³ − 7x + 4) " ; for: "g(x)" ;

______________________________________

→ " f(x) − g(x) =

" 9x³ + 2x² − 5x + 4 − (5x³ − 7x + 4) " .

______________________________________

Rewrite this expression as:

→ " 9x³ + 2x² − 5x + 4 − 1(5x³ − 7x + 4) " .

→ {since: " 1 " ; multiplied by "any value" ; is equal to that same value.}.

______________________________________

Now, let us example the following portion of the expression:

______________________________________

" − 1(5x³ − 7x + 4) "

_____________________________________

Note the "distributive property" of multiplication:

______________________________________

→ a(b + c) = ab + ac ;

______________________________________

Likewise:

→ a(b + c + d) = ab + ac + ad .

______________________________________

As such:

______________________________________

→ " − 1(5x³ − 7x + 4) " ;

______________________________________

= (-1 * 5x³) + (-1 * 7x) + (-1 * 4) ;

= - 5x³ + (-7x) + (-4) ;

= - 5x³ − 7x − 4 ;

_____________________________________

Now, add the "beginning portion of the expression" ; that is:

" f(x) " ; to the expression ; which is:

→ 9x³ + 2x² − 5x + 4 ;

→ as follows:

_______________________________________

→ 9x³ + 2x² − 5x + 4 − 5x³ − 7x − 4 ;

→ {Note that the: " - " sign; that is;

the "negative sign", in the term: " -5x³ " ;

becomes a: " − " sign; that is; a "minus sign" .}.

______________________________________

Now, combine the "like terms" of this expression; as follows:

+ 9x³ − 5x³ = + 4x³ ;

− 5x − 7x = − 2x ;

+ 4 − 4 = 0 ;

______________________________________

and we have:

______________________________________

→ " 4x³ + 2x² − 2x ".

______________________________________

Now, to write this answer in "factored form" :

Note that among all 3 (three) terms in this expression, each term has a factor of "2" . The lowest coefficient among these 3 (three) terms is "2" ; so we can "factor out" a "2".

Also, each of the 3 (three) terms in this fraction is a coefficient to a variable. That variable takes the form of "x". The term in this expression with the variable, "x"; with the lowest degree has the variable: "x" (i.e. "x¹ = x" ) ; so we can "factor out a "2x" (rather than just the number, "2".).

So, by factoring out a "2x" ; take the first term [among the 3 (three) terms in the expression] —which is: "4x³ " .

2x * (?) = 4x³ ? ;'

↔ $\frac{4x^3}{2x} =$ ? ;

→ 4/2 = 2 ;

$\frac{x^{3}}{x} = \frac{x^3}{x^1} = x^{(3-1)} = x^{2}$ ;

As such: 2x * (2x²) = 4x³ ;

___________________________________________

Now, by factoring out a "2x" ; take the second term [among the 3 (three) terms in the expression] — which is: "2x² " .

2x * (?) = 2x² ? ;

↔ $\frac{2x^{2}}{2x} =$ ?

→ 2/2 = 1 ;

→ $\frac{x^{2}}{x} = \frac{x^2}{x^1}= x^{(2-1)} } = x^1 = x$ ;

As such: 2x * (x) = 2x²

__________________________________________

Now, by factoring out a "2x" ; take the third term [among the 3 (three) terms in the expression] — which is: " − 2x " .

2x * (?) = - 2x ;

↔ $\frac{-2x}{2x} =$ -1 ;

As such: 2x * (-1) = − 2x .

__________________________________________

So:

__________________________________________

Given the simplified expression:

→ " 4x³ + 2x² − 2x " ;

We can "factor out' a: " 2x " ; and write the this answer is: "factored form" ; as:

__________________________________________

"2x (2x² + x − 1 ) . "

Now, we can further factor the:

" (2x² + x − 1) " ; portion;

Note: "(2x² + x - 1)" =

2x² + 2x - 1x -1 = (2x -1) + x (2x - 1 ) =

(2x - 1) ( x + 1)

_______________________________________

Now, bring down the "2x" ; and write the Full "factored form" ; as follows:

_______________________________________

→ " 2x (2x - 1) (x + 1) " .

_______________________________________

Hope this helps!

Wishing you the best!

_______________________________________

7 0

3 years ago

The factory produces 4 gallons of orange juice for every 24 gallons of apple juice but is use this ratio to answer the question

kkurt [141]

Answer:

For every 1 gallon of Orange Juice the factory makes 6 gallons of Apple Juice so id say the ratio is 1:6

Step-by-step explanation:

8 0

3 years ago

4k – 3 = -2k + 3 help me please lol

hoa [83]

Answer: k=1

Step-by-step explanation:

4k-3=-2k+3

take -3 and 3 and add them up on one side and change the sign

4k=-2k+3

+3

4k=-2k+6

take the -2k and change the sign and add to 4k

4k=6

2k

6k=6

now divide both sides with x

6k/6= 6/6

k= 1

6 0

3 years ago

Read 2 more answers

2. Order 3.3,3.19,3 1/5,3 1/3.

cricket20 [7]

2.
$3\frac15=3.2\\ 3\frac13=3.33333...$

$3.19, \ \ \ 3\frac15, \ \ \ 3.3, \ \ \ 3\frac13$

3.
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4.
$\frac{600g}{3kg}=\frac{600g}{3000g}=\frac{600g}{5\cdot600g}=\frac15$
This fraction is $\frac15$

5.
$10^3+10^2+10+1=1000+100+10+1=1111$

6. $6.7\cdot5\$=33.5\$$

7.
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8.
$9^2-4\cdot9=81-36=45$

9.
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I earn $\$60$

10.
48 minutes = 1 hour - 12 min
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11.
$34.1^oC-27.6^oC=6.5^oC$

12.
$8\frac14 \ h= 8h \ 15min$
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8 0

3 years ago