A catering business specializes in catering wedding receptions. They charge $400 for setting up the buffet and an additional $7.50 per guest. Mr. and Mrs. Smith want to spend no more than $1600 on the catering. Write and solve an inequality to determine the number of guests that can be invited to the reception.​

Answer:

m⊥ = –½

Step-by-step explanation:

First, put the given equation in slope-intercept form:

2x – y = –6

–y = –2x – 6

y = 2x + 6

The slope of the line perpendicular to the line given will be the negative reciprocal of the given line's slope, so:

If m = 2, then m⊥ = its negative reciprocal:

m · –1

2 · –1

–2  →  –½

So, the negative reciprocal of 2 is –½.

Answer:

$2.85

Step-by-step explanation:

8.55/3

Answer:

$2.85 per foot

Step-by-step explanation:

all u gotta do is 8.55/3

Answer:

The value of p at q = 5 is 406.25

Step-by-step explanation:

∵ p varies directly as the cube of q

→ That means p ∝ q³

∴ The equation of variation is p = kq³, where k is the constant of variation

∵ p = 26 when q = 2

→ Use them to find the value of k

∵ 26 = k(2)³

∴ 26 = k(8)

∴ 26 = 8k

→ Divide both sides by 8

∴ [tex]\frac{26}{8}=\frac{k}{8}[/tex]

∴ 3.25 = k

→ Substitute it in the equation of variation

∴ p = 3.25 q³ ⇒ equation of variation

∵ q = 5

→ Substitute it in the equation of variation to find p

∴ p = 3.25 (5)³

∴ p = 406.25

∴ The value of p at q = 5 is 406.25

Answer:

Undefined

Step-by-step explanation:

[tex]density = \frac{mass}{volume} \\ [/tex]

[tex]14.2 = \frac{84.5}{v} \\ [/tex]

Multiply sides by v

[tex]14.2 \times v = 84.5[/tex]

Divided sides by 14.2

[tex]v = \frac{84.5}{14.2} \\ [/tex]

[tex]v = 5.95 \: \: ml[/tex]

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Answer:

D

Step-by-step explanation:

The question states that the sum of two numbers is x, and they give us one number which is 12. We know that 12 + 12x cannot equal x. We also know that 12 + 12 + x = x will cancel out the variable. Then, we can eliminate B, as the questions stated that the sum of two numbers is x, and they gave us one number of x. We know that the other number will be the unknown value minus 12, because 12 + x - 12 = x will simplify into x = x, which is true.

Answer:

a>0

Step-by-step explanation:

if a is negative then the subtraction sign would switch. therefore, for the expression to have a negartive value a must be greater than 0

Answer:

C. Brian and Damien both answered 2 more questions correctly than Chris did.

Step-by-step explanation:

A. Brian and Damien both answered 2 fewer questions correctly than Chris did.

B. Brian and Damien both answered 4 more questions correctly than Chris did.

C. Brian and Damien both answered 2 more questions correctly than Chris did.

D. Brian and Damien both answered 4 fewer questions correctly than Chris did.

Let

B = number of questions Brian got right

C = number of questions Chris got right

D = number of questions Damien got right

The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right.

B = 14 + (1/4) * C

Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly.

D = (5/4) C - 2

If Brian and Damien have the same score,

14 + (1/4) * C = (5/4) C - 2

14 + 1/4C = 5/4C - 2

14 + 2 = 5/4C - 1/4C

16 = 5C-C/4

16 = 4/4C

C = 16

B = 14 + (1/4) * C

= 14 + 1/4*16

= 14 + 4

= 18

D = (5/4) C - 2

= 5/4*16 - 2

= 5*4 - 2

= 20 - 2

= 18

Answer:

1/3

Step-by-step explanation:

On left side its 6:2 so 6/2 is 3

the scale factor is 1/3 because figure is a reduction

hope it helps ;)

Answer:

1/3

Step-by-step explanation:

The side that's highest is 9 units, the the image its 3. 3/9= 1/3

Answer:

A 2.5 × 10^–7 m

Step-by-step explanation:

Given

wavelength of violet light = 4.0 x 10^−7 m.

The wavelength of red light = 6.5 x 10^−7 m

To find the how much longer is wavelength of red light than violet light we have to find difference of wavelength of red and violet light

Difference in  wavelength of red light and violet light =

wavelength of red light -wavelength of violet light

                         = 6.5 x 10^−7 m - 4.0 x 10^−7 m

Difference in  wavelength of red light and violet light = (6.5 - 4.0)*10^−7 m

Difference in  wavelength of red light and violet light =2.5 x 10^−7 m

Thus,

wavelength of red light is 2.5 x 10^−7 m longer than wavelength of violet light

option A

Answer:

Dividend  divided by Divisor = Quotient

5 divided by 8 = 0.625

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

2 - (4 + 3 - 6)

2 - 4 - 3 + 6

-2 - 3 + 6

-5 + 6

1

or

2 - (4 + 3 - 6)

2 - (1)

1

Answer:

The answer to our question is the number 1

Step-by-step explanation:

=2-1

=1 (the solution)

Step-by-step explanation:

For 32:

The factors are as shown:

32 = 2*2*2*2*2

32 = 2²*2³

32 = 2²⁺³

32 = 2⁵ (Base of 2 and power of 5)

For 81:

factors

81 = 3*3*3*3

81 = 3²*3²

81 = 3²⁺²

81 = 3⁴ (Base of 3 and power of 4)

For 100:

factors

100 = 10*10

100 = 10² (Base of 10 and power of 2)

Answer:

-2

Step-by-step explanation:

1.Subtract 3 from both sides and the equation is -2z=6

2.Divide both sides by -2 and the equation is z=-3

3.Multiply -3 by 2/3 and you get -2

Answer:

2/3z = -2

Step-by-step explanation:

1. First you want to find out what z is, so you have to solve for z.

2. To solve for z, first subtract 3 from the 3 and the 9. 3 minus 3 is equal to 0, so it cancels out. 9 minus 3 is equal to 6.

3. The new equation is -2z = 6, so now you have to divide -2z by -2 and 6 by -2. -2z divided by -2 is equal to 1z or z, and 6 divided by -2 is equal to -3.

4. The simplified equation is z = -3.

5. Now that we solved for 1z, we have to solve for 1/3 by dividing 1 by 3 and -3 by 3. 1 divided by 3 is 1/3, and -3 divided by 3 is -1.

6. We have solved for 1/3z (1/3z = -1), but now we want to solve for 2/3z so we have to multiply 1/3z by 2, and -1 by 2. 1/3z times 2 is 2/3z, and -1 times 2 is equal to -2.

7. The simplified equation for the value of 2/3z in the equation -2z + 3 = 9 is 2/3z = -2

Answer:

C

Step-by-step explanation:

Break into 2 equatins to get x's:

2x-6<4 and 2x-6>-4

Solve for x in both:

2x-6<4

2x<10

x<5

2x-6>-4

2x>2

x>1

Graph both inequalities on the same number line:

<---0-----1-----2-----3-----4-----5-----6--->

Answer:the answer is b :)

Step-by-step explanation:

Answer:

-28m-12

Step-by-step explanation:hope that helps :)

=(−4)(3+7m)

=(−4)(3)+(−4)(7m)

=−12−28m

=−28m−12

Answer:

-4(3+7m) = -28m - 12

Step-by-step explanation:

-4 (3 + 7m)

= -4 (3) + -4(7)

= -12 + (-28)

= -12 -28m

Answer:

y=1

Step-by-step explanation:

Answer:

The answer would be 0.22 or .22

Step-by-step explanation:

Answer:

0.23

Step-by-step explanation:

divide the numerator by the denominator

22÷95= 0.23157894...

round 0.23157894... to 0.23

So,

Ignore the negatives and just make them positives.

For now.

Then, you look at 3/5 and say... it's 3 ticks towards the number five,

meaning it's between 4 and 5. After you do that whats happens is you place back the negatives and you have -3/5 and -2.

-2 < 5 and -2 < 4

Meaning it goes more to the left.

I could be wrong but If I'm right please mark brainliest

im not good at this...

im sorry if im wrong but i think it may be B

Answer:

X=-9

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

2 to the 6th power is also 2 x 2 x 2 x 2 x 2 x 2 which equals 64 so then you multiply it by .5 (half) to get 32 :)

Answer:

32

Step-by-step explanation:

2^6= 64

64/2= 32

Answer:

-34/-812 = 17/406

Step-by-step explanation: i think this is right...

Answer:

Your answer is: Look Below ↓

Step-by-step explanation:

Hope this helped : )

Answer:

da de da da da de do re mi fa so la mi AAAAAAAAAAA

Step-by-step explanation:

I can speak the language of the gods xD

Answer:

- (m-g)/p =x

Step-by-step explanation:

subtract g

m-g=-p(x)

divide by -p

-(m-g)/p =x