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V125BC [204]
3 years ago
10

PLEAS HELP ME

Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0

\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{Table~A}{\begin{array}{ccll} x&y\\ \cline{1-2} 60&48\\70&56\\80&64 \end{array}}~\hspace{7em} \stackrel{Table~B}{\begin{array}{ccll} x&y\\ \cline{1-2} 20&24\\30&36\\40&48 \end{array}} \\\\[-0.35em] ~\dotfill


\bf \textit{for table A, we know that } \begin{cases} x=60\\ y=48 \end{cases}\implies 48=k60\implies \cfrac{48}{60}=k \\\\\\ \cfrac{4}{5}=k\qquad therefore\qquad \boxed{y=\cfrac{4}{5}x} \\\\\\ \textit{for table B, we know that } \begin{cases} x=30\\ y=36 \end{cases}\implies 36=k30\implies \cfrac{36}{30}=k \\\\\\ \cfrac{6}{5}=k\qquad therefore\qquad \boxed{y=\cfrac{6}{5}x}

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4. BAKE SALE Ashley has $15 in the Pep
Mekhanik [1.2K]

Answer:

a) 187.5 b) Domain c ∈ [0,187.5] c) Range ∈ [0,15]

Step-by-step explanation:

a) In this function, d stands for dollars and c stands for cookies. Ashley left $15 to pay supplies for making new cookies. The more cookies they made the less money it is left. For instance, If someone bakes 1 cookie using that money:

d=15-0.08c d=15-0.08(1) d=14.92 Then $14.92 is left after baking 1 cookie. And so on.

To find the zero of this function, let's turn this into an equation.

d=15-0.08c\\0=15-0.08c\\-15=-0.08c\\\ \frac{0.08}{0.08}c=\frac{15}{0.08}\\c=187.5

So according to this function, with 15 dollars at least 187 cookies can be made.

b) The function d=15-0.08c if it was defined for the Real Set, any value would be valid within the Real Set. But c, is for cookies. Then the set is

Z_{+}

d=15-0.08c\\0=15-0.08c\\-15=-0.08c\\\ \frac{0.08}{0.08}c=\frac{15}{0.08}\\c=187.5

Domain c ∈ [0,187.5]

c) The Range

The Range is the subset of all values between $15 and 0$, since after the money is over they can no longer bake cookies. And there's $-1 dollar note.

So  the Range is d ∈ [0,15]

8 0
3 years ago
How many solution exists for the given equation 3(x-2)=22-x
dolphi86 [110]

3(X-2) = 22- x Expanding the bracket by multiplying the 3 outside the bracket with x and 2, it becomes  3x- 6= 22-× Take like terms of X 3x+x = 22+6 4× =28 Divide both sides by 4 X= 7

7 0
3 years ago
Read 2 more answers
Si un triángulo tiene una hipotenusa de 15 cm y un cateto que mide 12 cm, ¿cual es la longitud del otro cateto?
BartSMP [9]

Answer:

   

9cm

Explicación:

El teorema de pitagoras nos dice que la hipotenusa al cuadrado es igual a la suma de los catetos al cuadrado:

c^{2} =a^{2} + b^{2}

Donde c es la hipotenusa y a  y b son los catetos.

Por lo cual, podemos reemplazar c por 15cm y a por 12cm :

15^{2} =12^{2} +b^{2}

Finalmente , debemos resolver la ecuación para b, así que b es igual a :

225=144+b^{2} \\225-144=144+b^{2} -144\\81=b^{2} \\\sqrt{81} =b\\9=b

Por lo tanto, la longitud del otro cateto es 9 cm

3 0
3 years ago
A car rental costs a fee of $150 plus $35 per
lutik1710 [3]

Answer:

5 hours

Step-by-step explanation:

We know that Joey spent a total of $325. He first paid the fee of $150. Let's subtract $150 from $325.

$325 - $150 = $175

Now, we know that it costs $35 per hour to rent the car. So, we divide $175 by $35 to find out how many hours Joey rented the car for.

$175 ÷ $35 = 5 hours

3 0
3 years ago
Which number is irrational?<br> A.<br> B. 35<br> 49<br> D. 764
kipiarov [429]

Think about it this way: which numbers are perfect squares? The square root of 4 is two, the square root of 49 is 7, and the square root of 64 is 8. That only leaves B.

I hope this helps. Let me know if you need a further explanation.

5 0
3 years ago
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