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AleksandrR [38]
3 years ago
5

In a week 24 hens laid 96 eggs. What is the unit rate for eggs per hen?

Mathematics
1 answer:
Ugo [173]3 years ago
5 0
There are 4 eggs per hen
What you have to do is
24 hens/ 96 eggs
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Which step is the answer to the question and you cant answer step 5
lukranit [14]

Answer:

Step-by-step explanation:

Step 2, she factored the trinomial incorrectly. She did, "what two numbers multiply to equal 6 but add to equal 5?" She should have asked multiply to equal -6 and add to equal 5. The correct factorization would be:

(x+6)(x-1) = 0

x = -6 and 1

7 0
2 years ago
Evaluate the given expression at x= -4<br> -3x + 2x^2 + 2
Mkey [24]

Answer:

\huge{ \boxed{ \bold{ \text{46}}}}

Step-by-step explanation:

If the value of variables of algebraic expression are given, the value of the term or expression can easily obtained by replacing the variables with numbers.

\text{ \underline{ Given}} :  \text{x =  - 4}

\text{ \underline{ To \: find}} :  \sf{value \: of \:  - 3x + 2 {x}^{2}  + 2}

\text{  Plug \: the \: value \: of \: x}

➝ \:  \sf{ - 3 * (- 4 )+ 2 *  {( - 4)}^{2}  + 2}

\text{Remember!} :  \text{Multiplying \: a \: negative \: integer \: by \: negative \: integer \: gives \: a \: positive \: integer.}

➝\sf{12 + 2 *  {( - 4)}^{2}  + 2}

\text{Evaluate \: the \: power}

➝\text{12 + 2 * 16 + 2}

\text{Multiply \: the \: numbers}

➝\text{12 + 32 + 2}

\text{Add \: the \: numbers}

➝  \boxed { \text{46}}

\text{Hope \: I \: helped!}

\text{Best \: regards!}

~\text{TheAnimeGirl}

7 0
3 years ago
Read 2 more answers
What is the substitution for 3x+4y^2 if x= -2 and y=3?
solniwko [45]

Answer:

<h2>30</h2>

Step-by-step explanation:

3x+4y^2\\\\\text{Substitute the value of x = -2 and y = 3 to the expression:}\\\\3(-2)+4(3^2)\qquad\text{use PEMDAS}\\\\=-6+4(9)=-6+36=30

5 0
3 years ago
The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 &lt; T &lt; 36 , where T is
antoniya [11.8K]

Answer:

N(T(t)) = 1408t^2 - 385.6t - 105.52

Time for bacteria count reaching 8019: t = 2.543 hours

Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

N(T(t)) = 22 * (8t + 1.7)^2  - 123 * (8t + 1.7) + 40

N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40

N(T(t)) = 1408t^2 + 598.4t + 63.58 -  984t - 169.1

N(T(t)) = 1408t^2 - 385.6t - 105.52

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

8019 = 1408t^2 - 385.6t - 105.52

1408t^2 - 385.6t - 8124.52 = 0

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

4 0
3 years ago
clint has 6 apple muffins, 2 corn muffins, and 4 bran muffins what fraction of muffins are bran weite the fraction in simplest f
Feliz [49]

Answer:

\frac{1}{3}

Step-by-step explanation:

The fraction of bran muffins is expressed as bran muffins over total muffins.

Total muffins = 6 + 2 + 4 = 12 and bran muffins = 4, thus

fraction = \frac{4}{12} ← divide ( cancel ) each value by 4 )

fraction = \frac{1}{3} ← in simplest form

6 0
2 years ago
Read 2 more answers
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