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2 years ago

What are two equivalent ratios for 9/7

Mathematics

1 answer:

Zolol [24]2 years ago

3 0

One is 18/14, another is 27/21. just multiply both numbers buy an integer (here two and three) to get equivalent ratios

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The line y =3x-5 meet x-axis at the point M.

dusya [7]

y = 3x - 5 meets the x-axis at the x-intercept, and that happens when y = 0

$\bf \stackrel{y}{0}=3x-5\implies 5=3x\implies \cfrac{5}{3}=x~\hspace{5em}\stackrel{M}{\left( \frac{5}{3},0 \right)}$

3y + 2x = 2, meets the y-axis when x = 0, and that'd be the y-intercept

$\bf 3y+2(\stackrel{x}{0})=2\implies 3y=2\implies y=\cfrac{2}{3}~\hspace{5em}\stackrel{N}{\left( 0,\frac{2}{3} \right)}$

so let's find the equation of the line with points M and N in standard form, bearing in mind that

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

$\bf M(\stackrel{x_1}{\frac{5}{3}}~,~\stackrel{y_1}{0})\qquad N(\stackrel{x_2}{0}~,~\stackrel{y_2}{\frac{2}{3}}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{~~\frac{2}{3}-0~~}{0-\frac{5}{3}}\implies \cfrac{2}{3}\cdot -\cfrac{3}{5}\implies -\cfrac{2}{5}$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=-\cfrac{2}{5}\left( x-\cfrac{5}{3} \right)\implies y=-\cfrac{2}{5}x+\cfrac{2}{3} \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15y=-6x+10}\implies \stackrel{\textit{standard form}}{6x+15y=10}\implies 6x+15y-10=0$

3 0

3 years ago

A bakery sold 108 cupcakes in one day. The head baker predicted he would sell 88 cupcakes that day. What was the percent error o

tensa zangetsu [6.8K]

88/108 *100 = 81.48

100-81.48 = 18.52

I have heard this question before

7 0

3 years ago

Solve the following using the elimination or substitution method. Show all work.

ki77a [65]

Jim has 28 nickels and 37 dimes in his pocket. which is determined by the substitution method.

<h3>What is the equation?</h3>

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

Let the number of nickels would be n

Let the number of dimes would be d

As per the given question,

d + n = 65 ....(i)

0.10d + 0.05n = 5.10 ....(ii)

From equation (i),

d + n = 65

d + n - n = 65 - n

d = 65 - n

Substitute in for the equation(ii): d = 65 - n

0.10(65 - n) + 0.05n = 5.10

6.5 - 0.10n + 0.05n = 5.10

6.5 - 0.05n = 5.10

6.5 - 0.05n - 6.5 = 5.10 - 6.5

- 0.05n = -1.4

n = 28

This means there are 28 nickels

Substitute the value of n = 28 in the equation (i),

d + n = 65

d + 28 = 65

d = 37

So there are 37 dimes

Thus, Jim has 28 nickels and 37 dimes in his pocket.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

3 0

1 year ago

Read 2 more answers

) a circle with radius 63mm

Jet001 [13]

Answer:

<em>radius: r2 = 3.14 × 632 = 12470 square mm</em>

Step-by-step explanation:

5 0

2 years ago

I have 5 digits. My 9 is worth 9 ∗ 10,000. My 2 is worth 2 thousand. One of my 7s is worth 70. The other is worth 10 times as mu

Natasha2012 [34]

The answer is 92,776 because 10 times as much as 70 is 700 which gives the answer for the hundreds position.

6 0

3 years ago