Gina used one-seventh of a cup of sugar to make a pitcher of lemonade. If she were to pour the lemonade into 4 smaller glasses how much sugar would be in each glass?

Answer:

a+c=27

195a+320c=6515

Step-by-step explanation:

adult (a): 195

children (c): 320

total $: $6515

child $: 27

a+c=27 --> c=-a+27

195a+320c=6515

sub the first equation into the 2nd equation to get a=17

sub a=17 into c=-a+27 to get c=10

so, an adult ticket is $17 and a child ticket is $10.

First begin with the interest formula.

Interest = Principal x Rate x Time

The $250 is the principal is the amount of money invested.

The rate is 4% which translates to the decimal .04.

The time is 5 years.

So we have I = (250)(.04)(2).

Multiplying, (25)(.04) is 10 and we have 10(2) which is 20.

This means that the interest earned in 2 years is $20.

Given:

The graph of a quadratic function [tex]y=x^2-4x+3[/tex].

To find:

(a) The coordinates of the turning point.

(b) The roots of the equation [tex]y=x^2-4x+3[/tex]

Solution:

(a)

From the given graph it is clear that first the graph is decreasing after that it is increasing. So, the minimum point is the turning point.

The turning is at (2,-1) because the distance between the turning point from the y-axis is 2 and from the x-axis is 1 in the downward direction.

Therefore, the coordinates of the turning point are (2,-1).

(b)

The x-intercepts are the roots of an equation because roots are the x-coordinates of the points where the graph intersect the x-axis.

From the given graph it is clear the graph intersect the x-axis at x=1 and x=3.

Therefore, the roots of the given equation are 1 and 3.

Answer:

I think it's 18 square feet

Answer:

B

Step-by-step explanation:

Quadratic inequalities are inequalities involving quadratics.

A is not an inequality.

B is an inequality and we can rewrite B as:

[tex]x^2+x<0[/tex]

So, B is a quadratic inequality, and is the answer.

C is not a quadratic. The x terms are not squared.

Likewise, D is not a quadratic either since no x terms are being squared.

Answer:

Step-by-step explanation:

120+80=200 the total number of tickets

120(student tickets) ÷ 200 (total tickets)= .6 =60%

Answer:

bin

Step-by-step explanation:

bghgghhshshsbabbsnajswjjegvrjrjrhrbrhrriritt

Answer:

tan(Y) = 7/4

tan(Z) = 4/7

Step-by-step explanation:

Tangent ratios are the TOA of SOHCAHTOA.

tan( angle ) = opposite / adjacent

Answer:

ITS 4 BRO

Step-by-step explanation:

ALL THE TRIANGLES WILL RESULT IN 17

Answer:

8:1

Step-by-step explanation:

Don reads 8 pages a minute. Therefore the amount of pages he could read is 8 and the amount of time it takes is a minute

Answer:

yes

Step-by-step explanation:

Answer:

3x+5

Step-by-step explanation:

Answer: x= 18

Step-by-step explanation: these are corresponding angles which means they are equal.

(4x-7) = (7x-61)

-7 = 3x -61

54 = 3x

18 = x

C)36 out of 40

Bob. nmmnkgfdt

Answer:

Option b,c,d and e are right

Step-by-step explanation:

a ) 18 / 24 x 100 = 75 %

b) 18/ 20 x 100 = 90%

c) 36/ 40 x 100= 90%

d) 54/ 60 x 100 = 90%

e) 81/90 x 100 = 90%

I hope im right!!! ;)

Answer:

where is the thing to answer

Answer:

Ok im going on your page to see the question

Answer:

Would be the 3rd one I believe

Step-by-step explanation:

The statement that is true is:

It is one-half the area of a rectangle with sides of 4 units x 3 units is true.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The area of the triangle.

= 1/2 x base x height

Now,

Base = 4 units

Heights = 3 units

So,

Area = 1/2 x 4 x 3 = 6 units²

Now,

It is twice the area of a square of the side length of 4 units.

6 units² < 16 units²

This is not true.

It is one-half the area of a square of side length 4 units.

1/2 x 16 units² = 6 units²

8 units² = 6 units²

This is not true.

It is twice the area of a rectangle with sides 4 units x 3 units.

2 x 12 units² = 6 units²

24 units² = 6 units²

This is not true.

It is one-half the area of a rectangle with sides 4 units x 3 units.

1/2 x (4 x 3) units² = 6 units²

6 units² = 6 units²

This is true.

Thus,

It is one-half the area of a rectangle with sides of 4 units x 3 units is true.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ7

9514 1404 393

Answer:

  1 mile

Step-by-step explanation:

  5 × (1/5 mi) = 5/5 mi = 1 mi

The students ran 1 mile in all.

Answer:

72cm²

Explaination:

2(2*3)+2(2*6)+2(3*6)=72cm²

Answer:

6,15

Step-by-step explanation:

A dilation is the changing of a size. A scale factor is a proportional number that tells us how much we change a shape.

If the scale factor is over 1, the new image will stretch.

If the scale factor is under 1, the new image will shrink

Since we are asked to find A' (which is prime notation) meaning that we are asked to find the coordinates where A' is at on the new image.

Since the scale factor is 3,

3 is greater than 1 so it will stretch.

Now, multiply 3 to each number

to find it new location.

[tex] \frac{2}{5} \times \frac{3}{3} = \frac{6}{15} [/tex]

So the coordinates are at 6,15

Answer:

I'm pretty sure you multiply each number in (2,5) by the 3 to get new coordinates of (6,15)

that's the only answer that could fit :)

Answer:

16.8

Step-by-step explanation:

16 + 4/5

16+ 0.8

16.8

Answer:

84/5

Step-by-step explanation:

9514 1404 393

Answer:

  a.  (1.4, 2.6)

  b.  (3, 2)

Step-by-step explanation:

a. The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle.

For points X(a, b) and Y(c, d), the perpendicular bisector of XY can be written as ...

  (c -a)(x -(c+a)/2) +(d -b)(y -(d+b)/2) = 0

Then the equation of the perpendicular bisector of MN is ...

  (-2-4)(x -(-2+4)/2) +(4-0)(y -(4+0)/2) = 0

  -6(x -1) +4(y -2) = 0

  3x -2y = -1 . . . .  divide by -2 and put in standard form

Similarly, the perpendicular bisector of NO is ...

  (0-(-2))(x -(0-2)/2) +(6 -4)(y -(6+4)/2) = 0

  2(x +1) +2(y -5) = 0

   x + y = 4 . . . . divide by 2 and put in standard form

So, the point of intersection is ...

  (3x -2y) +2(x +y) = (-1) +2(4) . . . . . add twice the 2nd equation to the 1st

  5x = 7 . . . . . . simplify

  x = 1.4 . . . . . . divide by 5

  y = 4-1.4 = 2.6 . . . . . find y from the second equation

The coordinates of the circumcenter are (1.4, 2.6).

__

b. The centroid is the average of the vertex coordinates.

  centroid = (A +B +C)/3 = ((1, 2) +(3, 4) +(5, 0))/3 = (1+3+5, 2+4+0)/3 = (9, 6)/3

  centroid = (3, 2)

Answer:

13.4feet

Step-by-step explanation:

The set up forms a right triangle.

Given

Height of the staircase h = 12 feet

Base of the stairs b = 6feet

Required

Length of the ramp l

Using the pythagoras theorem

l² = h² + b²

l² = 12²+6²

l² = 144 + 36

l² = 180

l = √180

l = 13.42 feet

Hence the length of the ramp to the nearest tenth is 13.4feet

Answer:

x=20

y=70/3 which is about 23.3

Step-by-step explanation:

Write a proportion of all similar sides

Answer:

58

Step-by-step explanation:

Answer:

all right trigangles must have a 90 degress angle

Step-by-step explanation:

no

Answer:

1/6

Step-by-step explanation:

We know that 1/2 are apples and 1/3 are bananas

we also know that

apples+bananas+oranges=1

Which means that

1/2+1/3+oranges=1

Add 1/2 + 1/3 by getting the denominators equal

3/6+2/6=5/6

Which means that 5/6+oranges=1

1-5/6=1/6

1/6

write everything below this

1/2+1/3+oranges=1

1/2+1/3=5/6

5/6+oranges=1

oranges=1-5/6

oranges=1/6

Answer:

Yes, they will be.

Step-by-step explanation:

Congruent means when they are the same shape and same size.

If triangle ABC is dilated to form triangle DEF, that means that they will have the same shape and the same size.

So yes Triangles ABC and DEF will be congruent to one another because they will be the same shape, and they will have the same size as well.

Hope this helped!

Have a supercalifragilisticexpialidocious day!