The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle?

Answer: x = 16

Step-by-step explanation:

PQ = 26

PM = 1/2 PQ (M is midpoint of PQ)

PM= 1/2x + 5 = 1/2 * 26

or x = 2(13 - 5) = 16

The value of x is 16 units.

The midpoint of a line is the point which divide a given line in two equal parts.The formula for midpoint is Mₓ = (x₁ + x₂)/2 and Mₙ = (y₁ + y₂)/2.

(here y is replaced by n).

According to the given question Given M is the midpoint of PQ with PM = 1/2x + 5 and PQ = 26 and we have to find x.

As M is the midpoint of PQ with PM = 1/2x + 5 then MQ can also be represented by 1/2x + 5.

We know

PM + MQ = PQ

1/2x + 5 + 1/2x + 5 = 26.

x + 10 = 26.

x =16.

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Answer:

80=x+y

Step-by-step explanation:

The maximum amount of glasses is 80; the solution cannot be more than 80; the number of glasses of lemonade and of iced tea cannot be more than 80 total.  

Answer:

[tex]MP = (5,3)[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2}) (\frac{y_1+y_2}{2} )\\MP= (\frac{7+3}{2}) (\frac{11+-5}{2} )\\MP= (\frac{10}{2}) (\frac{6}{2} )\\MP= (5,3)[/tex]

Answer:

1: 11982.79

2: 12136.31

4: 12216.09

12: 12270.46

365: 12297.10

Step-by-step explanation:

The compound interest formula is A=P*(1+r/n)^nt

P=principal amount

r=rate

n=number of compounds per period

t=number of periods

In this situation, the principal amount is 5,000=P. The rate is 6%, so r=0.06. n is equal to the top number in the table. And this is 15 years, so t=15.

For 1, it would be A=5,000*(1+.06/1)^1*15, or A=5,000(1.06^15), or 11982.79.

For 2, it would be 5,000*(1+.06/2)^2*15, or 5,000*(1.03^30), or 12136.31.

And so forth. Good luck

Answer:

x= -2

Step-by-step explanation:

6x-3 = 5x-5

6x-5x=-5+3

x= -2

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Answer:

38.08mph

Step-by-step explanation:

The question tells us that the speed of

Speed of boat = 35mph

Wind blowing = 15mph

We have to use the pythagorean theorem in other to find the resulting speed.

So,

Speed² = 35² + 15²

Such that

Speed = √35² + 15²

Speed = sqr(1225 + 225)

Speed = sqr(1450)

Speed = 38.08

The approximate resulting speed of the boat is therefore 38.08mph

Answer:

b = y - mx

Step-by-step explanation:

Given

y = mx + b ( subtract mx from both sides )

y - mx = b

Given that:

Membership  feet to play indoor soccer at the Sun Oaks Club = $100

Hourly rate = $10

To find:

The function f represents the  cost of playing soccer at Sun Oaks.

Here, fixed cost is $100.

Let the number of hours of playing be t.  So, total variable cost is $10t.

Total cost = Fixed cost + Variable cost

[tex]f(t)=100+10t[/tex]

So, the required function is [tex]f(t)=100+10t[/tex].

Now, if the hourly rate were halved. Then,

Hourly rate [tex]= \$ \dfrac{10}{2} = \$ 5 [/tex]

So, total variable cost is $5t and total cost function is

[tex]g(t)=100+5t[/tex]

So, the required function is [tex]g(t)=100+5t[/tex].

Answer:

32 classmates and each classmate pays $19 per ticket. This is a multiplication problem. We can solve this a couple of ways:

  32

*19

-------

288

320

-------

608

Another way is to realize 19 is nearly 20, multiply 32 by 20 and then subtract 32:

 32

*20

------

640

640

-32

-----

608

So, the answer is $608

Answer:

$608

Step-by-step explanation:

The answer is $608 because each ticket costs $19 and 32 students are going to the fair. Therefore, it's 32 x 19 = 608.

Hope this helps!

Answer: 531441

Step-by-step explanation:

Answer:

[tex]f(x)=2x^{2}-3[/tex]

[tex]D=(-\infty,\infty)[/tex]

[tex]R=[-3,\infty)[/tex]

x-intercepts: [tex](\frac{\sqrt{6}}{2},0)[/tex] and [tex](-\frac{\sqrt{6}}{2},0)[/tex]

y-intercept: (0,-3)

f(3)=15

Step-by-step explanation:

A quadratic function is any polynomial function whose greatest power is a 2, so [tex]f(x)=2x^{2}-3[/tex] is a nice example of it.

For the domain, as a rule, polynomial functions that have positive whole degrees will be defined for all real  numbers, so:

[tex]D=(-\infty,\infty)[/tex]

When talking about quadratic functions, its range will happen from the lowest point (in this case the vertex) to it's highest point (in this case infinity)

In order to find the vertex, we can use the following formula:

[tex]x=-\frac{b}{2a}[/tex]

which is used for quadratic equations in standard form:

[tex]y=ax^{2}+bx+c[/tex]

In this case a=2, b=0 and c=-3, so we get:

[tex]x=-\frac{0}{2(2)}=0[/tex]

Now we know that the range will happen at x=0, so we substitute:

[tex]f(0)=2(0)^{2}-3=-3[/tex]

so the range will be:

[tex]R=[-3,\infty)[/tex]

For the x-intercepts we need to set the given function equal to zero so we get:

[tex]2x^2-3=0[/tex]

and solve for x:

[tex]2x^{2}=3[/tex]

[tex]x^{2}=\frac{3}{2}[/tex]

[tex]x=\pm \sqrt{\frac{3}{2}}[/tex]

which can be rationalized to:

[tex]x=\frac{\sqrt{6}}{2}[/tex] and [tex]x=-\frac{\sqrt{6}}{2}[/tex]

so the x-intercepts are located at:

[tex](\frac{\sqrt{6}}{2},0)[/tex] and [tex](-\frac{\sqrt{6}}{2},0)[/tex]

For the y-intercept, we need to set x=0 so we get:

[tex]f(0)=2(0)^{2}-3[/tex]

[tex]f(0)=-3[/tex]

So the y-intercept is located at:

(0,-3)

and finally, in order to get f(3) we must substitute x for 3 so we get:

[tex]f(3)=2(3)^{2}-3[/tex]

f(3)=15

Answer:

30,440 feet

Step-by-step explanation:

You simply just add 29,029 and 1411 because if you picture it on a number line, 29,029 would be to get to zero as well as 1411 going up in elevation.

Answer:

It is a rational number

Answer:

Rational

Step-by-step explanation:

6.458 is rational because it is not repeating or infinite.

Answer:

(5,1)

Step-by-step explanation:

if macs house if it’s 1/2 of the distance from Nate house to the park then half the distance of 10,2 is 5,1

The required coordinate of the max location is (4, 3).

Given that,
Nate wants to visit his friend max before going to the park. Nate's house is located at (-2,4), while the park is located at (10,2).
To find the location of macs house if it’s 1/2 of the distance from Nate's house to the park.

The midpoint is that point the line whose distance from both the ends of the line is equal.

Here,
Max lies 1/2 the distance of Nate and Park,
Location of max is given by,
= 10 - 2 / 2 and 4 + 2 / 2
= 8 / 2 and 6 / 2
= 4 and 3
Location of max is (4, 3)

Thus, the required coordinate of the max location is (4, 3).

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Hey there!

To solve, you can just add 1000 + 250 and remove x.

[tex]1000+250=1250[/tex]

Now add x.

[tex]1250x[/tex]

[tex]1000x+250x=1250x(ANSWER)[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Answer:

46.88 lb per minute

Step-by-step explanation:

328.16/7

46.88

Hey there!

[tex]6 \frac{7}{20}[/tex] as a decimal

The percentage for 6 7/20 is 35%. So if that was the percent, then the decimal would be 0.35.

[tex]0.35(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

1/2 2/4

Step-by-step explanation:

Answer:

it is C. 2/1

Step-by-step explanation:

because 1 goes into 2 twice

Answer:

-3

Step-by-step explanation:

40=16-8r

Subtract 16 from both sides.

24=-8r

Now divide by -8

-3=r

Answer:

-3= r

Step-by-step explanation:

40= 16- 8r

subtract 16 from both sides

40-16= 16 - 16 -8r

24= -8r

divide both sides by -8

24/-8 = -8r/-8

-3= r

Answer:

your weight loss will help your child get through to your doctor if your child is a si and he's a doctor or 6or a child or an adult or an adult child and you can get in the way I want

Answer:

x1+x2/2

7+11/2

18/2=9

Step-by-step explanation:

The midpoint of segment DE is 9 units.

It is required to find the midpoint of segment DE.

The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Given:

By mid point formula we get,

The midpoint formula is applied when one is required to find the exact center point between two defined points.

The coordinate of point D is 7 units.

The coordinate of point E is  11 units.

According to given question we have,

The midpoint of segment DE

[tex]=\frac{x_{1} +x_{2} }{2} \\=(7+11)/2\\\\=18/2\\\\=9[/tex]

Therefore , the midpoint of segment DE is 9 units.

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Answer:

its math roll dont wory ill show with no math and explantion its just awnsers

Step-by-step explanation:

8 i

4 t

11 w

1 a

6 s

9 a

14 m

7 o

10 t

3 h

13 b

5 a

2 L

I couldnt get the last one but i did in the same order as it has it

To solve the question we used the criteria that the solution depends upon the sign, if negative number is greater than sign will be a minus .

if positive number is greater than sign will be a plus.

The sign while addition and subtraction depends on the larger number .

If negative number is greater than sign will be a minus .

if positive number is greater than sign will be a plus.

1.

A. -5+2=-3

B. 7+-3= 4

C. -4+-6=-10

2.

A. 1+-8=-7

B. -6+-12=-18

C. -2+9=7

3.

A. -7+6=-1

B. 5+-8=-3

C. 12+13=25

4.

A. -10+-10=-20

B. 17+-1=16

C. -11+5=-6

5.

A. 4+-9=-5

B. -7+-15=-22

C. -3+12=9

6.

A. 16+-8 = 8

B. -5+20=15

C. -6+6=0

Similarly we can do the remaining solutions.

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Answer:

38/3

Step-by-step explanation:

3/2a-8=11      

3/2a=19     add 8 to each side

i forget the rest of the steps smh

Answer:

38/3

Step-by-step explanation:

3/2A-8=11

3A/2=11+8

3A/2=19 CROSS MULTIPLY

3A=38

A=38/3

Answer:

True- She needs $3 more. She will not have enough money to buy everything. The cost is $28.

False- She has $3 left over.

Step-by-step explanation:

2 pounds of burgers for $3 each is $6

1 bag o bun equals $2

5 bags of chips for $4 each is $20

$20 + $6 +$2 = $28

She only had $25 to spent, so she doesn't have enough money and needs to 3 more dollars.

Answer:

5 times 3

Step-by-step explanation:

you do 5 time 3. it is 15

0.941941 converted to a simplified fraction is 941941/1000000

Answer:

Angle2 is supplementary to Angle8.

If Angle 2 Is-congruent-to Angle 6, then the statement which must be true about Angle 2 is that Angle 2 is supplementary to Angle 8.

This refers to the type of angle where two different angles are said to have equal measure on their corresponding sides.

With this in mind, we can see that based on the two horizontal parallel lines are intersected by a third line, there is a third line that intersects the top line and forms four angles.

Hence, if If Angle 2 Is-congruent-to Angle 6, then the statement which must be true about Angle 2 is that Angle 2 is supplementary to Angle 8 because the sum of either angles is 180 degrees.

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When something is bisected, it is cut into two equal halves.

We know that SV cut RST into two parts.

Those two parts are RSV and VST

RSV = 64 and VST = 64

RST = RSV + VST = 64 + 64 = 128

The correct answer should be 128

Answer:

I.128

Step-by-step explanation:

Since SV bisected angle RST, the angle is split in two by equal parts, therefore RSV + VST = RST

64 + 64= 128

128°= RST

Answer:

hope this helped you

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