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3 years ago

Determine which variable is the independent variable and which variable is the dependent variable. Write an equation,

Mathematics

2 answers:

Ivahew [28]3 years ago

8 0

Answer:

Step-by-step explanation:

VMariaS [17]3 years ago

3 0

Answer: w =40m

dependent variable = w

independent variable = m.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The number of words typed (w) will be equal to the product of the number of words typed per minute (40) and the number of minutes (m)

w =40m

The dependent variable is w , and the independent variable is m.

Because the output value of w depends of the input value of m.

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a box of cereal weighs 550 g. There is enough cereal for 10 servings. How many grams of cereal are there per serving?

prisoha [69]

Answer:

55 grams per serving

Step-by-step explanation:

To find the number of grams per serving, we take to total grams and divide by the number of servings. The total grams is 550 and the number of servings is 10

grams per servings = 550/10 = 55 grams per serving

7 0

2 years ago

1) Given: circle k(O), ED= diameter ,m∠OEF=32°, m(arc)EF=(2x+10)° Find: x

qaws [65]

1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is $(2x+10)^\circ$ , so the measure of arc DF is

$m\widehat{DF}=360^\circ-180^\circ-(2x+10)^\circ=(170-2x)^\circ$

The inscribed angle theorem tells us that the central angle subtended by arc DF, $\angle DOF$ , has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so

$m\angle DOF=2m\angle OEF=64^\circ$

so the measure of arc DF is also 64 degrees. So we have

$170-2x=64\implies106=2x\implies\boxed{x=53}$

###

2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,

$m\angle EOF=2m\angle EDF\implies56^\circ=2m\angle EDF\implies m\angle EDF=28^\circ$

Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that

$m\angle EFD+m\angle EDF+m\angle DEF=180^\circ\implies\boxed{m\angle EFD=76^\circ}$

Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have

$m\angle EFO+m\angle FEO+m\angle EOF=180^\circ\implies\boxed{m\angle EFO=62^\circ}$

7 0

2 years ago

A recipe says to use 3cups of flour to make 48 cookies. What is a constant of proportionality that related the number of cookies

MA_775_DIABLO [31]

Answer:

y=16 x=1

Step-by-step explanation:

For this one, we need to find the unit rate, which means how many cookies we can make using 1 cup of flour. To do that, we need to divide both the flour and the cookies by 3 to get 3/3=1 and 48/3=16. So the total amount of cookies made with one cup of flour is 16. So the constant proportionality is 16,1.

6 0

3 years ago

Which equation is the direct variation equation if f(x) varies directly with x and f(x)=-18 when x=3

Otrada [13]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{f(x)}{y}=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=-18\\
x=3
\end{cases}\implies -18=k3
\\\\\\
\cfrac{-18}{3}=k\implies -6=k\qquad therefore\qquad \boxed{\stackrel{f(x)}{y}=-6x}$

5 0

2 years ago

Charlie guesses that his dog weighs 34.5 pounds. The dog actually weighs 32.7 pounds. What is the percent error in Charlie’s gue

zhuklara [117]

The answer is 5.5 % because 34.5x5.5=32.7

4 0

3 years ago

Read 2 more answers