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Y_Kistochka [10]

3 years ago

12

Nadia bought tickets to attend a spaghetti supper fundraiser at her school. The equation can be used to find , the cost of each

ticket in dollars. Which equation represents the cost of each ticket?

1 answer:

Rainbow [258]3 years ago

8 0

What are the equations??

You might be interested in

31. Algebra Fill in the reason that justifies each step.

Anna11 [10]

Answer:

Step-by-step explanation:

<u>Statements </u> <u> Reasons</u>

1) QS =42 Given

2) QR + RS = QS Segment Addition Postulate

3) (x + 3) + 2x = 42 Substitution Property

4) 3x + 3 = 42 Simplify

5) 3x = 39 Subtraction Property of Equality

6) x=13 Division Property of Equality

Explanation:

We have given QS=42. We have to prove that x=13

We will use Segment Addition Postulate which states that given 2 points Q and S, a third point R lies on the line segment QS if and only if the distances between the points satisfy the equation QR + RS = QS.

Then we will substitute the values in the defined postulate.

where QR= x+3

RS=2x

QS=42

QR+RS=QS

(x+3)+2x= 42

Now simplify the expression by opening the brackets.

x+3+2x=42

3x+3=42

Now subtract 3 from both sides.

3x+3-3=42-3

3x=39

divide both sides by 3.

3x/3 =39/3

x=13..

4 0

3 years ago

Find the length of the third side. If necessary, write in simplest radical form.<br> 10<br> 7

oksian1 [2.3K]

Answer:

$\sqrt{51}$

Step-by-step explanation:

10²-7² (C squared minus B squared equals A squared) (basically Pythagorean theorem but reversed)

100-49= 51 (square the numbers and subtract)

$\sqrt{51}$

6 0

3 years ago

What is the value of -2/5 / 3/4?

Sveta_85 [38]

Answer:

-8/15

Step-by-step explanation:

7 0

3 years ago

Electric charge is distributed over the disk x2 + y2 ≤ 16 so that the charge density at (x, y) is rho(x, y) = 2x + 2y + 2x2 + 2y

professor190 [17]

Answer:

Required total charge is $256\pi$ coulombs per square meter.

Step-by-step explanation:

Given electric charge is dristributed over the disk,

$x^2=y^2\leq 16$ so that the charge density at (x,y) is,

$\rho (x,y)=2x+2y+2x^2+2y^2$

To find total charge on the disk let Q be the total charge and $x=r\cos\theta,y=r\sin\theta$ so that,

$Q={\int\int}_Q\rho(x,y) dA$ where A is the surface of disk.

$=\int_{0}^{2\pi}\int_{0}^{4}(2x+2y+2x^2+2y^2)dA$

$=\int_{0}^{2\pi}\int_{0}^{4}(2r\cos\theta+2r\sin\theta+2r^2 \cos^{2}\theta+2r^2\sin^2\theta)rdrd\theta$

$=2\int_{0}^{2\pi}\int_{0}^{4}r^2(\cos\theta+\sin\theta)drd\theta+2\int_{0}^{2\pi}\int_{0}^{4}r^3drd\theta$

$=\frac{2}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)\Big[r^3\Big]_{0}^{4}d\theta+2\int_{0}^{2\pi}\Big[\frac{r^4}{4}\Big]d\theta$

$=\frac{128}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)d\theta+128\int_{0}^{2\pi}d\theta$

$=\frac{128}{3}\Big[\sin\theta-\cos\theta\Big]_{0}^{2\pi}+128\times 2\pi$

$=\frac{128}{3}\Big[\sin 2\pi-\cos 2\pi-\sin 0+\cos 0\Big]+256\pi$

$=256\pi$

Hence total charge is $256\pi$ coulombs per square meter.

3 0

3 years ago

noah is baking a two layer cake in which the bottom layer is a circle and the top layer is a triangle if line ab

padilas [110]

Since , segment AB ≅ segment BC as their arcs are congruent ; therefore , ΔABC is an isosceles triangle .

Properties of a circle :

If a circle is circumscribed around a triangle, then the vertices of the

1. Triangle divides the circle into three arcs

2. The three sides of the triangle are the chords of the circle

3. Each chord in the circle subtended by an arc

4. If two arcs equal, then they are subtended equal chord

∵ Circumscribed circle D around triangle ABC

- The vertices of triangle ABC lie on the circumference of the circle

AB , BC , AC are the chords of the circle

Arcs AB and AC are congruent

Arc AB ≅ arc AC

Arc AB subtended the chord AB

Arc AC subtended the chord AC

AB = AC

AB = 6 inches

AC = 6 inches

- The triangle with two equal sides is called an isosceles triangle

∴ Δ ABC is an isosceles triangle .

Noah know that the top layer of his cake is an isosceles triangle

* segment AB ≅ segment BC because their arcs are congruent;

Therefore, ΔABC is an isosceles triangle.

To learn more on circle properties :

brainly.com/question/4244936

#SPJ4

8 0

1 year ago