Your family goes to a Southern-style restaurant for dinner. There are 6 people in your family.
Some order the chicken dinner for $14 and some order the steak dinner for $17. If the total bill
was $99, how many people ordered each dinner?

Answers

Answer 1

Answer:

We conclude that:

The number of people who ordered the chicken dinner = 1The number of people who ordered the steak dinner = 5

Step-by-step explanation:

Given that

Some order the chicken dinner for $14some order the steak dinner for $17.Total bill = $99

Let 'n' be the number of people who ordered the chicken dinner.Let '6-n' be the number of people who ordered the steak dinner.

Thus, the equation becomes

[tex]14n + 17(6-n) = 99[/tex]

[tex]14n + 102 - 17n = 99[/tex]

[tex]-3n = 99 - 102[/tex]

[tex]-3n = -3[/tex]

Divide both sides by -3

[tex]n = 1[/tex]

and

[tex]6-n = 6-1 = 5[/tex]

Therefore, we conclude that:

The number of people who ordered the chicken dinner = 1The number of people who ordered the steak dinner = 5

Related Questions

The equation y = 4.2x could represent a variety of different situations.

Write a description of a situation represented by this equation. Decide what quantities x and y represent in your situation and let us know what

they are

Answers

Answer and explanation:

The equation y=4.2x can be represented by a situation such as the total price of a number of goods

For example, if the total price of chocolate candies purchased from a store is given by the equation

y=4.2x

Such that the price per chocolate candy is $4.2 and x number of chocolate candies are bought, total price of chocolate candies bought is y

If 6 chocolate candies are bought, total price y using the equation would be

y=4.2 *6= $25.2

Solve for x, (2x+6) + (2x-6)

Answers

The correct answers are x=3 and x=-3

Answer:

4x

Step-by-step explanation:

2x+6+2x−6

=2x+6+2x+−6

Combine Like Terms:

=2x+6+2x+−6

=(2x+2x)+(6+−6)

=4x

Determine the sum of the exterior angles in a convex 50-gon. (G.10)(1 point)

Answers

Answer:

The sum of the exterior angles in a convex 50-gon polygon is 360° ⇒ A

Step-by-step explanation:

The formula of the sum of the interior angles of any polygon is ∑ = (n - 2) × 180°, where, n is the number of the sides or the angles of the polygonThe sum of the measures of the interior angle and the exterior angle at a vertex of the polygon is 180°The sum of the exterior angles of any polygon (n-gon) is 360°

In the question

∵ The polygon has 50 sides

→ By using the 3rd rule above

∵ The sum of the exterior angles of any polygon (n-gon) is 360°

The sum of the exterior angles in a convex 50-gon polygon is 360°

ASAP BRAInLIST QUESTIOn In PIC
only answer if you know you're right
thanks

Answers

Answer:

c

Step-by-step explanation:

i’m pretty sure the answer is c

Find the measures of <1 and <2 if <3 = 78^0 and <4 = 102^0.
Assume the lines are parallel.









Figure is not drawn to scale.
Angle 78 102 12
<1
<2

Answers

Answer:

my acc just got yeeted by a penguin pfp

Step-by-step explanation:

Answer:

oops look in commments

Step-by-step explanation:

can you create a triangle with one obtuse angle and one right angle? Why or why not?

Answers

An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. ... Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

los números reales tienen un primer número?

Answers

Answer:

no, real numbers do not have first numbers.

Step-by-step explanation:

There are also more complicated number systems than the real numbers, such as the complex numbers. Every real number is a complex number, but not every complex number is a real number. Similarly, 3/7 is a rational number but not an integer.

A tower casts a shadow 12 m long while a nearby building casts a shadow 8 m long. if the building is 16 m high, how high is the tower?

Answers

If a tower casts a shadow 12 m long while a nearby building casts a shadow 8 m long and the building is 16 m high, then the height of the tower is equal to 24 m.

The height of the tower can be determined by using proportionality.

In this problem, the shadows of the building and the tower are proportional to the heights of the building and the tower.

Hence, the equation can be written as:

shadow of the tower ÷ shadow of the building = height of the tower ÷ height of the building

12 / 8 = h / 16

Here h is equal to the height of the tower

1.5 = h / 16

h = 1.5 x 16

h = 24

Hence, the height of the tower is calculated to be 24 meters.

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ten more then 5 times a number as an equation

Answers

Answer:

Ten is two more than five times a number ten is two more translate to10+2 Five times the number translates to 5x where x stand for the number. And the word than means equality. So the equation is10+2=5x→5x=12

what is the simple interest on an 8000 investment at 1.5 interest for 10 years

Answers

8000 * 0,015 = 120

10 years: 120 * 10 = 1.200

This is the simple interest.

Ashley buys a television for 20% off the list price of p dollars. If the sales tax is 7%, how much does Ashley pay for the
television, including sales tax?
0 8p dollars
0.824p dollars
0.856p dollars
0.864p dollars

Answers

Answer:

0.856p dollars

Step-by-step explanation:

Original price of TV: p

Discount: 20% of p

Discounted price: p - 20% of p = p - 0.2p = 0.8p

7% sales tax on the discounted price of 0.8p: 0.07 * 0.8p = 0.056p

Add the 7% tax to the discounted price: 0.8p + 0.056p = 0.856p

Answer: 0.856p dollars

To the citizens of the country of Merka, there is no meal
better than a hot dog nestled securely in a hot dog bun. Relish is optional, mustard is not. The hypothetical market for hot dogs in Merka is graphed. Suppose that the price of hot dog buns decreases. Illustrate the impact of this change on the
market by manipulating the appropriate curve or curves.

The equilibrium price it hot dogs:
a) decreases
b) increases
c) remains the same

The equilibrium quantity of hot dogs:
a) increases
b) decreases
c) remains the same

The supply curve shifts:
a) left
b) right

The demand curve shifts:
a) left
b) right

Answers

The equilibrium price of hot dogs A. increases.

The equilibrium quantity of hot dogs A. increases

The supply curve shifts right

The demand curve shifts right.

How to illustrate the information?

It should be noted that the equilibrium price is the pice at which the quantity demanded and supplied is equal

In this case, the equilibrium price of hot dogs increases and the equilibrium quantity of hot dogs increases.

This will cause a positive affect on the supply and demand curve and they will shift I the right.

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i need help im really stuckkk​

Answers

Answer:

Ans is ( 1 , 4 )

Step-by-step explanation:

meter jhdogasdoiew

Answer:

(1, -5).

Step-by-step explanation:

The robot is at the point (-3, -5).

If it moves 4 to the right the x coordinate increases by 4 and the y-coordinate stays the same.

The answer is

((-3 + 4, -5)

= (1, -5).

the cost of 40 candy bars is $30 how much does 15 cost

Answers

Answer:$20

Step-by-step explanation: We first need to figure out how much a single candy is worth. To do that we need to divide 40 candy bars by $30. 40/30 is equal to 4/3 or $1.33 dollars each. Now we multiply 15 by the price of a single candy bar which is 4/3 or 1.33 dollars. 4/3*15 is $20.

HELP PLSS I NEED ANSWERS ASAPP :(((

Answers

75 is the answer good luck

Answer:

D;75ml

Step-by-step explanation:

1st water→30ml

1st oil→20ml

2nd water →Xml

2nd oil →50ml

30→20

X →50

cross multiply both equations

1500=20x

X=1500/20

X=75ml

Evaluate y=4x+2 and x = -6.

Please answer fast

Answers

Answer:

Step-by-step explanation:

y = 4x + 2                 Substitute x = -6

y = 4(-6) + 2

y = -24 + 2

y = - 22

giving brainliest
Turner made a scale drawing of a restaurant. He used the scale 2 centimeters : 1 meter. The actual width of the restaurant's kitchen is 13 meters. How wide is the kitchen in the drawing?

Answers

if 2 cm is 1 meter then 1 meter is 2 cm

13 * 2 = 26

26 cm is the answer

BD bisects ABC. ABC = 67º and ABD = (3x - 1)º. Find the value of 'x'.​

Answers

ANSWER: x = 11.5

ABD = 1/2(ABC)
ABD = 1/2(67)
ABD = 33.5
ABD = 3x - 1

3x - 1 = 33.5
3x = 34.5
x = 11.5

CHECK:
2(3x - 1) = 67
6x - 2= 67
6(11.5) - 2 = 67
69 - 2 = 67
67 = 67 ✔️

someone help me with this please!

Answers

Answer:

B) x < 9 or x > 23

------------------------------------

I'm so sorry if I'm not correct, but that's the only answer that makes any sense to the sentence.

Write 2 3/4 as an improper fraction

Answers

Answer:

11/4

Step-by-step explanation:

4/4 is 1 whole.

We have 2 whole.

So, right now we have: 8/4

We can't forget about the 3/4!

8/4+3/4=11/4

This means your total is 11/4

Hope this helps you out!

-AxekickNebulite

The value of an improper fraction of a mixed number [tex]2 \dfrac{3}{4}[/tex] would be [tex]\dfrac{11}{4}[/tex].

Used the concept of the fraction that states that,

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

Given that the mixed number [tex]2 \dfrac{3}{4}[/tex].

Now, change the mixed number [tex]2 \dfrac{3}{4}[/tex]  into an improper fraction as,

[tex]2 \dfrac{3}{4} = \dfrac{(2\times 4 )+ 3}{4}[/tex]

[tex]= \dfrac{11}{4}[/tex]

Therefore, The value of an improper fraction would be [tex]\dfrac{11}{4}[/tex].

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Steve can train 48 dogs in 6 hours how many dogs can Steve train in 10 hours

Answers

Answer:

dang steve dog training go brrr

Step-by-step explanation:

Answer: 80

Step-by-step explanation: First divide 48 by 6 and that would give us 8. Then multiply 8 by 10 which equals 80 and thats how you do it!

The design plans for a new concert hall shows elevations relative to the ground level at 0 feet. The elevation of the balcony is 37 feet and the elevation of the basement floor is -17 feet. Full in the blanks to write the distance of the balcony and basement from ground level

Answers

Answer:

54 feet

Step-by-step explanation:

The distance from the balcony to the ground level = 37 - 0 = 37ft

The distance from the basement floor to the ground level = 0 - (-17) = 17 feet

the distance of the balcony and basement from ground level will be the sum of the distances gotten = 37 - (-17)

= 37 + 17

= 54 feet

Hence the distance of the balcony and basement from ground level is 54 feet

Please help ASAPPPP !!!! Pleaseeeeeeee

Answers

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

so in first picture

1 is exterior angle of the triangle

it means that

1=2+3

so is evident that m 1 > m 2

in the second picture

1 is the exterior angle of the triangle

so

1=3+4

but 3=2 as alternate interior angles

definition:The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

so is evident that m 1 > m 2

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(1)

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 2 + ∠ 3

Thus ∠ 1 must be > ∠ 2

(2)

∠ 3 = ∠ 2 ( alternate angles )

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 3 + ∠ 4 = ∠ 2 + ∠ 4

Thus ∠ 1 > ∠ 2

1. Find the variable.

9.2x - 11.25x = 14.35

Answers

Answer:

x = -7

Step-by-step explanation:

The sum of the reciprocals of two consecutive even integers is 7/24. Find the two integers

Answers

The positive even integers whose sum of reciprocals is 7/24 are 6 and 8.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Let the two consecutive even integers be 2x and 2x+2 then there sum of reciprocal will be 7/24 that is now solving for positive value of x by finding roots of quadratic equation :

[tex]\begin{aligned}\frac{1}{2x}+\frac{1}{2x+2}&=\frac{7}{24}\\\frac{1}{x}+\frac{1}{x+1}&=\frac{7}{12}\\\frac{2x+1}{x^2+x}&=\frac{7}{12}\\24x+12&=7x^2+7x\\7x^2-17x+12x&=0\\x&=3, \frac{-4}{7} \end{aligned}[/tex]

Consider only positive value of x that is 3

Therefore, The positive even integers whose sum of reciprocals is 7/24 are 6 and 8.

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PLEASE HELP!!
Find an explicit function rule for the sequence -2, 4, 10, 16, ....​

Answers

Step-by-step explanation:

a(n) = a +(n-1)d

a=-2

d=4+2=6

°.° a(n) = -2 +(n–1)6

hope this helps

Which angle is coterminal to 3pi/4

Answers

Answer:

_5x/4 radians is answer

Which list of decimals is in order from LEAST to GREATEST? O A. 0.59, 0.0599, 0.5 OB. 0.19, 0.099, 0.1 O C. 0.51, 0.4889, 0.5 OD. 0.29, 0.309, 0.31​

Answers

Answer:

D

Step-by-step explanation:

The Answer is D

Answer:

Somebody already answered lol but it’s D.

Step-by-step explanation:

I’m bored

if Omar deposits $300 in an account earning 3% interest compounded annually. How much will be in the account after 1 year if he makes no withdrawals?

Answers

The account after 1 year if he makes no withdrawals will be $309.

Omar deposits $300 in an account earning 3% interest compounded annually.

And,  3% interest compounded annually

To find the how much will be in the account after 1 year if he makes no withdrawals?

Now, According to the question:

We know that

P = 300

r = 3%

n = 1

t = 1

where:

P = Principle

r=rate

n=time

And formula is:

P ×[tex](1+r/n)^n^t[/tex]

Substitute the values in the formula

= 300 × [tex](1 + \frac{3}{100} / 1 )^1[/tex]

Evaluate the equation / expression , we get

= 309

Hence, The account after 1 year if he makes no withdrawals will be $309.

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what's the least common multiple of 2 and 3

4 and 5

6 and 7

2,3, and 4

5,6, and 7

8,9, and 10

Answers

6 is the least common multiple of 2 and 3

Answer:

its 6............................

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