Choose all of the points where the graphs of the line y = x - 3 and the circle (x - 1)2 + y2 = 4 intersect.
A. (0, -3)
B. (0,3)
C. (1, -2)
2 D. (1.0)
E. (3,0)

3 bars / 0.75 = 4 pieces.

Sally got 1 piece so she had 4-1 = 3 friends.

Answer:

The height of the roller coaster car is: h = 7.8 m

Step-by-step explanation:

Given

Mass m = 600 kg

Potential Energy P.E = 46,000J

To determine

Height h = ?

Using the formula

P.E = mgh

Here:

so substituting m = 600 kg, P.E = 46,000J, and g = 9.8

P.E = mgh

46000 = 600 × 9.8 × h

h = 46000 / 5880

h = 7.8 m

Therefore,  the height of the roller coaster car is: h = 7.8 m

Answer:

1/6 hours

Step-by-step explanation:

Given data

Company A charges

$25 per hour and a $300 equipment fee

let the number of hours be t

and the total charges be A

A=25+300t----------------1

Company B charges $50 per hour and a $150 equipment fee.

let the number of hours be t

and the total charges be B

y=50+150t----------------2

Equate 1 and 2 we have

25+300t= 50+150t

300t-150t= 50-25

150t= 25

divide both sides by 150

t= 25/150

t=1/6 hours

Answer:

Number 6 is b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let us represent:

Apple pie = a

Cherry pie = c

Peach pie = p

A bakery has three types of pie: apple, cherry, and peach.

There are four times as many apple pies as peach pies.

a = 4p

Answer Apple 40%    Cherry 50%      Peach 10%

Step-by-step explanation:  4x10=40

                                              5x10=50

                                              1x10=10

Therefore The answer Would be Apple 40%    Cherry 50%     Peach 10%

Answer:

6

Step-by-step explanation:

2x-m

When you substitue in the values for x and m:

2(4)-2

Now you can solve the equation:

2(4)-2

8-2

6

So this leads to the answer

2x-m=6 or 2(4)-2=6

Answer: $‭26.16‬

Step-by-step explanation:

Total cost = Meal cost + Sales tax + Gratuity after sales tax

Sales tax = 9% * 20

= $1.80

Gratuity after sales tax is added = 20% * (20 + 1.80)

= $4.36

Total cost = 20 + 1.80 + 4.36

= $‭26.16‬

Answer:

B

Step-by-step explanation:

It is b

Answer:

15

Step-by-step explanation:

45 - 27 = 15 B)

Answer:

The probability that the next marble Licia chooses will be black is 5/8

Step-by-step explanation:

answer choice A

Answer:

Option A: -12x-8=10 is the correct answer.

Step-by-step explanation:

Given equation is:

-4 (3x+2) = 10

We will distribute the equation by multiplying the terms inside the brackets with -4.

Therefore,

-4*3x + 2*-4 = 10

-12x +(-8) = 10

-12x - 8 = 10

The equation -4 (3x+2) = 10 will become -12x-8=10 after distributing.

Hence,

Option A: -12x-8=10 is the correct answer.

Answer:

the answer is 44

Given:

In an isosceles triangle LMN, LM=MN.

[tex]m\angle M=(3x+17)^\circ,m\angle L=(2x+36)^\circ[/tex]

To find:

The measure of the angles L, M and N.

Solution:

In triangle LMN,

[tex]LM=MN[/tex]                     (Given)

[tex]m\angle N=m\angle L=(2x+36)^\circ[/tex]   (Base angles of an isosceles triangle are equal)

Now,

[tex]m\angle L+m\angle M+m\angle N=180^\circ[/tex]

[tex](2x+36)^\circ+(3x+17)^\circ+(2x+36)^\circ=180^\circ[/tex]

[tex](7x+89)^\circ=180^\circ[/tex]

[tex](7x+89)=180[/tex]

On further simplification, we get

[tex]7x=180-89[/tex]

[tex]7x=91[/tex]

[tex]x=\dfrac{91}{7}[/tex]

[tex]x=13[/tex]

The value of x is 13. Using this value, we get

[tex]m\angle L=(2(13)+36)^\circ[/tex]

[tex]m\angle L=(26+36)^\circ[/tex]

[tex]m\angle L=62^\circ[/tex]

Similarly,

[tex]m\angle M=(3(13)+17)^\circ[/tex]

[tex]m\angle M=(39+17)^\circ[/tex]

[tex]m\angle M=56^\circ[/tex]

And,

[tex]m\angle N=m\angle L[/tex]

[tex]m\angle N=62^\circ[/tex]

Therefore, the measure of angles are [tex]m\angle L=62^\circ,m\angle M=56^\circ,m\angle N=62^\circ[/tex].

Answer:

B. $480.00

Step-by-step explanation:

Find the hourly rate by dividing 84 by 7:

84/7

= 12

Find how much they will make in the 40 hour week by multiplying 40 by 12:

40(12)

= 480

So, the correct answer is B, $480.00

Answer:

im sorry im not sure but i think 9

Step-by-step explanation:

Answer:

$1.65

3

=

5

x

3

$1.65

Step-by-step explanation:

you already have how much it would be if you brought 3oz . Now , all you have to do was put 5oz in that quotient.

Answer:

452.45mmm^2

Step-by-step explanation:

Step one:

Given data

outer radius R= 20mm

inner radius r= 16mm

let us find the area of the outer circle

Area= πR^2

Area= 3.142*20^2

Area= 3.142*400

Area= 1256.8 mm^2

let us find the area of the inner circle

Area= πr^2

Area= 3.142*16^2

Area= 3.142*256

Area= 804.35 mm^2

Hence the area of the section is

Area of outer- Area of inner

=1256.8-804.35

=452.45mmm^2

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\[/tex]

[tex]a) 3x^{2}y^{4}*2x^{6}y=3*2*x^{2+6}*y^{4+1}\\\\=6x^{8}y^{5}[/tex]

[tex]b) xz^{3} * 4x^{4}z^{5}=4*x^{1+4}*z^{3+5}\\\\= 4x^{5}z^{8}[/tex]

c)

[tex]4a^{3}b^{2}* 3a^{6}b^{5}=4*3*a^{3+6}*b^{2+5}\\\\=12a^{9}b^{7}[/tex]

[tex]d) 6s^{5}t*s^{4}t^{2}=6*s^{5+4}*t^{1+2}\\\\=6s^{9}t^{3}\\[/tex]

Answer:

A: 6x^8y^5

B: 4x^4z^8

C:12a^9b^7

D:6s^9t^3

Step-by-step explanation:

When you multpily exponents with the same base you just add them

You still multiply the real numbers like you normally would though

so we have

3x²y^4*2x^6y

To do this you multiply 3*2=6

add the exponents on x^2 and x^6=x^8

and add the exponents on y (which is equal to y^1) and y^4=y^5

put these together and get 6x^8y^5

B: I won't explain it twice because it's the same process

I get 4x^5z^8

C: 12a^9b^7

D: 6s^9t^3

Step-by-step explanation:

[tex] \frac{3( {s}^{2} )^{4} \times {s}^{ - 5} } {27 {s}^{3} } [/tex]

[tex] \frac{3 {s}^{8} \times {s}^{ - 5} }{27 {s}^{3} } [/tex]

[tex] \frac{3 {s}^{3} }{27 {s}^{3} } [/tex]

[tex] \frac{1}{9} [/tex]

Answer:

x = 3√10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify Variables

Leg a = 9

Leg b = 3

Hypotenuse c = x

Step 2: Solve for x

To find the value of x we can apply Pythagoras theorem in this right angled triangle.

‎ ‎ ‎ ‎ ‎ ‎

So let's apply!

[tex]{ \boxed{ \sf{ \mapsto {Hypotenuse}^{2} ={Base }^{2} +{Perpendicular }^{2} }}}[/tex]

[tex] \sf{ : \implies {x}^{2} = {9}^{2} + {3}^{2} }[/tex]

[tex] \sf{ : \implies {x}^{2} = 81 + 9 }[/tex]

[tex] \sf{ : \implies {x}^{2} = 90 }[/tex]

[tex] \sf{ : \implies {x} = \sqrt{2 \times 3 \times 3 \times 5} }[/tex]

[tex] \sf{ : \implies {x} = 3 \sqrt{10} }[/tex]

Hence this is the value of x.

Answer:

The second one is the better deal

Step-by-step explanation:

The first one each pencil is 25 cents

The second one each pencil is 20 cents!

hope this helps!

Answer:

The 20-pack because four 5-packs of pencils would be 5 dollars and the same amount of pencils for the 20-pack is only 4 dollars. So the 20-pack is the better deal.

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

hope it helps

Answer:

(3,4)

I'm assuming this is how u wanted it to be solved if not give me more info on the problem and I'll redo it

Step-by-step explanation:

x= 3,y = 4

Answer:

distance between (F,G) and (H,J) = 9.02

distance between (F,H) and (G,J) = 3.8

distance between (F,J) and (G,H) = 3.8

Step-by-step explanation:

Distance between (F,G) and (H,J)

d=√(7.2−3.9)2+(10.6−2.2)2

d=√(3.3)2+(8.4)2

d=√10.89+70.56

d=√81.45

d=9.024965

Distance between (F,H) and (H,J)

d=√(2.2−3.9)2+(10.6−7.2)2

d=√(−1.7)2+(3.4)2

d=√2.89+11.56

d=√14.45

d=3.801316

Distance between (F,J) and (G,H)

d=√(2.2−3.9)2+(7.2−10.6)2

d=√(−1.7)2+(−3.4)2

d=√2.89+11.56

d=√14.45

d=3.801316

Hope this helps a lot!!

Answer:

first one

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

Answer:

7x4

Step-by-step explanation: =43