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Aleksandr-060686 [28]

3 years ago

12

At the school election there were three candidates. Isabella got 40 votes, Amelia got 60 votes and Mason got ⅓ of the votes. How

many people voted in the election?

1 answer:

notsponge [240]3 years ago

3 0

Answer: 150 people voted in the election.

Step-by-step explanation:

Let x = Total number of votes.

Mason got $\dfrac{x}{3}$ votes.

Isabella got 40 votes, Amelia got 60 votes.

Then,

Combined votes = $40+60+\dfrac{x}{3}=x$

$100=x-\dfrac{x}{3}\\\\100=\dfrac23x\\\\ x=100\times\dfrac32\\\\ x=50\times3\\\\ x=150$

Hence, 150 people voted in the election.

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If EF bisects CD, CG =5x-1, GD = 7x-13, EF = 6x-4, and GF =13, find EG

VARVARA [1.3K]

<em>Greetings from Brasil....</em>

As stated in the statement of the question, EF is a bisector of CD, so point G is the median point of CD, so CG = GD

5X - 1 = 7X - 13

X = 6

EF = EG + GF

6X - 4 = EG + 13 x = 6, so

6·6 - 4 = EG + 13

<h2>EG = 19</h2>

<em>(see attachment)</em>

6 0

3 years ago

Ruby will buy3 ivory silk lilac trees or 2 bur oak trees. He wants to buy the trees that cost less. What trees will he buy? How

baherus [9]

Rudy will buy 3 Ivory Silk Lilac trees; $4

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$70 − $66 = $4

Hope this helped.

I got this same exact question in third grade and this was my answer.

3 0

3 years ago

Solve the following using Substitution method<br> 2x – 5y = -13<br><br> 3x + 4y = 15

Digiron [165]

$\huge \boxed{\mathfrak{Question} \downarrow}$

Solve the following using Substitution method

2x – 5y = -13

3x + 4y = 15

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\left. \begin{array} { l } { 2 x - 5 y = - 13 } \\ { 3 x + 4 y = 15 } \end{array} \right.$

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

$2x-5y=-13, \: 3x+4y=15$

Choose one of the equations and solve it for x by isolating x on the left-hand side of the equal sign. I'm choosing the 1st equation for now.

$2x-5y=-13$

Add 5y to both sides of the equation.

$2x=5y-13$

Divide both sides by 2.

$x=\frac{1}{2}\left(5y-13\right) \\$

Multiply $\frac{1}{2}\\$ times 5y - 13.

$x=\frac{5}{2}y-\frac{13}{2} \\$

Substitute $\frac{5y-13}{2}\\$ for x in the other equation, 3x + 4y = 15.

$3\left(\frac{5}{2}y-\frac{13}{2}\right)+4y=15 \\$

Multiply 3 times $\frac{5y-13}{2}\\$ .

$\frac{15}{2}y-\frac{39}{2}+4y=15 \\$

Add $\frac{15y}{2} \\$ to 4y.

$\frac{23}{2}y-\frac{39}{2}=15 \\$

Add $\frac{39}{2}\\$ to both sides of the equation.

$\frac{23}{2}y=\frac{69}{2} \\$

Divide both sides of the equation by 23/2, which is the same as multiplying both sides by the reciprocal of the fraction.

$\large \underline{ \underline{ \sf \: y=3 }}$

Substitute 3 for y in $x=\frac{5}{2}y-\frac{13}{2}\\$ . Because the resulting equation contains only one variable, you can solve for x directly.

$x=\frac{5}{2}\times 3-\frac{13}{2} \\$

Multiply 5/2 times 3.

$x=\frac{15-13}{2} \\$

Add $-\frac{13}{2}\\$ to $\frac{15}{2}\\$ by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

$\large\underline{ \underline{ \sf \: x=1 }}$

The system is now solved. The value of x & y will be 1 & 3 respectively.

$\huge\boxed{ \boxed{\bf \: x=1, \: y=3 }}$

8 0

3 years ago

It is a six-digit whole number.

Alex Ar [27]

I believe the answer is 922,944

5 0

2 years ago

Read 2 more answers

14 POINTS 14 Points 14 points

viva [34]

Answer:

r = 10 cm

Step-by-step explanation:

r² = 8² + 6²

r² = 64 + 36 = 100

r = 10 cm

8 0

3 years ago

Read 2 more answers