8. Ten friends go out for dinner. The total cost of the meals is $141. Some
friends have three-course meals and the rest have two-course meals. Each
of the three-course meals costs $15 and each of the two-course meals
costs $12. The number of people who have three-course meals is x, so the
number of people who have two-course meals is 10 - x. How many three
course meals are possible?

2 three-course meals

20 three-course meals
e

7 three-course meals

5 three-course meals

Answers

Answer 1

Answer:

7 three-course meals

Step-by-step explanation:

7 x 15= 105

141-105= 36

36/12= 3

7+3= 10

So total, there are 10 meals; 7 three-course and 3 two-course


Related Questions

Calculate $x^{6} + (y^{2} \div z^3)\cdot w^3$ assuming that $x=2$, $y=3^2$, $z=3$, and $w=4$.
pleeeeeeease help i am struggling

Answers

Answer:

this copy and paste is to hard to read making it impossible to solve sorry.

Step-by-step explanation:

The value of the expression is 256.

What is simplification of an expression?

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.

For the given situation,

The expression is  $x^{6} + (y^{2} \div z^3)\cdot w^3$

⇒ [tex]x^{6}(\frac{y^{2} }{z^{3} } )(w^{3} )[/tex]

Substitute $x=2$, $y=3^2$ = 9$, $z=3$, and $w=4$,

⇒ [tex]2^{6}(\frac{9^{2} }{3^{3} } )(4^{3} )[/tex]

⇒ [tex]64+(\frac{81}{27} )(64)[/tex]

⇒ [tex]64+(3)(64)[/tex]

⇒ [tex]64+192[/tex]

⇒ [tex]256[/tex]

Hence we can conclude that the value of the expression is 256.

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Can somebody answer this

Answers

The answer is 2/3 = b
I used a calculator I got b= -6

Gavin has 50 tokens in KG use the weather roller coaster three times every hour. Gibson has 12 tokens And fines two more tokens on the ground each hour. How long until they have the same amount number of tokens

Answers

Answer:

They have the same amount of tokens after t = 7.6 hours

Step-by-step explanation:

Since Gavin initially has 50 token and rides the roller coaster three times per hour, he uses 3 token per hour. So, the number of token he losses after t hours is 3 token per hour × t hours = 3t. Thus, the number of tokens left after t hours is T = 50 - 3t

Since Gibson initially has 12 tokens and finds two tokens on the ground per hour, he gains 2 tokens per hour. So, the number of token he gains after t hours is 2 token per hour × t hours = 2t. Thus, the number of tokens he has after t hours is T' = 12 + 2t

To calculate the time t when they will have the same tokens, T must be equal to T', that is T = T'.

So, 50 - 3t = 12 + 2t

collecting like terms, we have

50 - 12 = 3t + 2t

38 = 5t

dividing both sides by 5, we have

t = 38/5

t = 7.6 hours

So, they have the same amount of tokens after t = 7.6 hours


Marcus can read 126 pages in one hour. How many pages can he read in 15 minutes?

Answers

Answer:

31.5 or 32

Step-by-step explanation:

Divide 126 by 4

31.5 but you can round up to 32
All you do is 126 divided by 4

Need Help ASAP
Formula 1 can be written alternatively as formula 2. Use algebra to show your steps how formula 1 can be manipulated to create formula 2.


Formula 1:

[tex]f(n)=\left\\ ({\sqrt[{12}]{2}}\,\right)^{n-49}\times 440\,{\text{Hz}}\,}[/tex]


Formula 2:

[tex]f(n) = 440 (2)^{\frac{n-49}{12} }[/tex]

Answers

Answer:

Steps are shown

Step-by-step explanation:

Exponent Rules

We need to recall this fundamental rule for exponents:

[tex]\displaystyle \sqrt[n]{a^m}=a^{m/n}[/tex]

We are given the expression:

[tex]f(n)=\left ({\sqrt[{12}]{2}}\,\right)^{n-49}\times 440\,{\text{Hz}}[/tex]

We'll use algebra and the above rule to manipulate the expression.

First, get rid of the unit Hz and move the coefficient 440 to the left:

[tex]f(n)=440\left ({\sqrt[{12}]{2}}\,\right)^{n-49}[/tex]

Now we convert the radical into an exponent form:

[tex]\displaystyle \left ({\sqrt[{12}]{2}}\,\right)^{n-49}=(2)^{\frac{n-49}{12}}[/tex]

Substitute:

[tex]f(n)=440\left ({\sqrt[{12}]{2}}\,\right)^{n-49}=440~(2)^{\frac{n-49}{12}}[/tex]

This is the very same expression in formula 2, as required.

Your payment is $350 per month for 48 months and you made a 3,000 down payment?

Answers

Answer:

Your total cost would be $19800

Step-by-step explanation:

350*48

=16800

+3000

=19800

I need help with this question right now please and thank you!

Answers

|10 7/9|,|-9 9/8|, |-10 4/9|, |-10 5/9|, |-10 8/9|

I’m kinda confused of where I out the yes

Answers

Answer:

put the yes in the second box, fourth box, and fifth box.

Step-by-step explanation:

trust me, your welcome

What is the value of the expression below when c=5 and d=4?

Answers

Answer:

138.....................

Answer:

888

Step-by-step explanation:

C equals 5 so u do 6 times 5. Then you have to do that by the exponent of 2 which equals 900. Because d equals 4 u do 5 times 4 which equals 20. So 900 minus 20 equals 880 plus 8 equals 888

Which of the following represents the range of the relation below?
{(0, 0), (1, 4), (6, 2)}

{0, 1, 2, 4, 6}
{0, 2, 4}
{1, 6}
{0, 1, 6}

Answers

Answer:

{ (0,0),(1,4),(6,2)

Range = {0,2,4}

Help please it’s due in a bit

Answers

Answer:

Options A, C and D are correct ones.

Step-by-step explanation:

Options A, C and D are correct.

It takes 115 pounds of seed to completely plant a 12-acre field. How many pounds of seed are needed per acre?

Answers

Answer: 9.5

Step-by-step explanation:

You need to do 115/12 and the answer is 9.5 so if that is not an answer it will be10 rounded up

Which of the following can be used to represent 2x5 using repeated addition? Select all that apply.

5+5+5+5+5
5+5
2+2+2 + 2 + 2
2+2

Answers

Answer:

5+5

Step-by-step explanation:

5+5 and 2+2+2+2+2

two fives equal ten and five twos equal ten.

What is the diffrence between 102.62 and 101.94??

Answers

Answer:

Quantity and Price Indexes for Gross Domestic Product Continued [ Index ... 105.19 101.53 101.52 105.10 103.10 101.94 101.94 107.21 104.47 102.61 102.62 ...

Step-by-step explanation:

higher and low

Enter the number in standard notation.
7.037 x 10^9 =

Answers

It should be 7037000000

Answer:

7,037,000,000

Step-by-step explanation:

Move the decimal to the right 9 times

70.37                1

703.7                2

7,037.0              3

70,370.0            4

703,700.0          5

7,037,000.0       6

70,370,000.0     7

703,700,000.0   8

7,037,000,000    9

What is equivalent to (3-2i)^2

Answers

Answer:

13

Step-by-step explanation:

(3-2i)^2 =

9-4i^2 =

9-4(-1) =

9+4 = 13

i need this asap !
write the equation of a line perpendicular to y=-2x+8 that passes through the point (-4,1)

Answers

Answer:

y = 1/2x + 3.

Step-by-step explanation:

y = -2x + 8

Gradient = -2

Gradient of the line passing through point (-4,1)

is given as 1/2. i.e it is perpendicular to y = -2x + 8

Its equation is given as:

y - y1 = m(x - x1)

y - 1 = 1/2(x -(-4))

y - 1 = 1/2(x + 4)

y - 1 = 1/2x + 2

y = 1/2x + 3.

What is the equation of a line that has a slope of 2/5 and passes through the
point (-5,5)? *

Answers

Answer:

y = 2/5x + 7

Step-by-step explanation:

substitute 2/5 in for m and (-5,5) in for (x,y) respectively to find the y intercept

y=mx+b

5 = 2/5(-5) + b

5 = -2 + b

add 2 to both sides to solve for b (y intercept)

b = 7

therefore the equation for the line will be...

y = 2/5x + 7

amy jogs 1/3 of a mile in 1/15 of an hour while john takes 1/30 of an hour to jog 1/5 of a mile if they continued at this who would jog the farther in one hour and by how much

Answers

Answer:

John would jog 1 more mile than any

Step-by-step explanation:

If you solve for the rate of which they both jog you would know that John jogs 6 miles an hour and Amy would jog at a rate of 5 miles an hour

which of the number 285, 627, 5490, 7290, 7295, 15780, 43695 are divisible by 5 but not 3

Answers

Answer:

Step-by-step explanation:

They all end in 0 or 5 except 627, so all but 627 are divisible by 5.

The following are divisible by 3

285

627 is divisible by 3 (but not 5)

5490 is divisible by 3

7290 is divisible by 3

15780

43695

===============

So your answer is

7295

I think that's the only one divisible by 5 but not 3.

===============

There's a quick way to divide by 3. Just add the digits. If the sum is divisible by 3 then the whole number is divisible by 3

For example 285

2 + 8 + 5 = 15.

15 is divisible by 3 so 285 is divisible by 3.

==================

7295 = 7 + 2 + 9 +5.  Anything adding up to 9 you can cast out.

7 + 2 = 9 Cast it out

9 = 9       Cast it out

5  is not divisible by 3, so 7295 is not divisible by 3

Work out the perimeter of a rectangle with length 8.5cm and width 0.2cm.

Answers

Answer: 17.4 cm

Step-by-step explanation: All you have to do is add all of the sides together.

So 8.5+8.5+0.2+0.2

=17+0.4

=17.4 cm

Answer:

17.4 cm

Step-by-step explanation:

A rectangle has two sets of parallel, equal sides. So that means two of the sides are equal to 8.5cm and the other two sides are equal to 0.2cm. When you put that in an equation:

8.5 + 8.5 + 0.2 + 0.2 = 17.4

Hope this helps :)

The graph shows the cube root parent function.

Answers

Answer: C

Step-by-step explanation:

The function is always increasing

The function is increasing when x>0 for the graph of [tex]y= \sqrt[3]{x}[/tex] as parent function.

What is graph?

" The graph is defined as the representation of relation between two variables on the coordinate plane."

According to the question,

Given graph of the  cube root parent function

For function [tex]y= \sqrt[3]{x}[/tex]

x = 0 ⇒ y = 0

x = 1 ⇒ y = 1

x = 8  ⇒ y = 2

x = 27 ⇒ y = 3

Therefore, for x>0, function [tex]y= \sqrt[3]{x}[/tex] is increasing.

Hence, Option(D) is the correct answer.

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How do I solve this equation?

Answers

Answer:

X = 4   X = -6

Step-by-step explanation:

X + 1 = 5                                          X + 1 = -5

X = 5 - 1                                          X = -5 -1

X = 4                                               X = -6

Answer:

Step-by-step explanation:

What absolute values of x will fit.

l4+1l=5

l -6+1l=5  

Solve
2x- 4 = -3 +3

Answers

Answer:

x=2

Step-by-step explanation:

-30<x/-4 answer must be simplified ​

Answers

Answer:

x<120

Step-by-step explanation:

-30<x/-4

In order to simplify this, we must isolate the x value by multiplying both sides by -4

Since we are dealing with inequalities and we are multiplying by a negative number, we have to switch the sign (<,>)

-30(-4)>x

x<120

The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long. Find the length of the tail.
What is the length of the kite?
7 ft
10 8/15 ft
5 2/3 ft
4 2/3 ft

Answers

Answer:

c i think your answer is c

Step-by-step explanation:

please help me thanks

Answers

Answer:

It is 61 degress an acute angle.

Step-by-step explanation:

Да се намери обемът на правилна четириъгълна призма с лице на околната повърхнина 1600см² и обиколка на основата 12 см​

Answers

Answer:

се намери обемът на правилна четириъгълна призма с лице на околната повърхнина 1600см² и обиколка на основата 12 см

A market sells blueberries for $3 per pint. The first day, the market sold a total of $35 worth of blueberries. The second day, the market sold a total of $47 worth of blueberries. And the third day, the market sold a total of $57 worth of blueberries. Estimate how many pints the market sold over the three days.

Answers

Answer:Around 50 pints

Step-by-step explanation:

$35=$40

$47=$50

$57=$60

$40+$50+$60=$150/3=50

what scale factor is applied to shape b to make shape A:
A. 1/2
B. 3/4
C.4/3
D. 2

Answers

Answer:

D. 2

Step-by-step explanation:

Answer:

D.2

Step-by-step explanation:

you need to multiply the sides of B by 2 to get the sides of A.

3 times 2= 6

6 times 2=12

4 times 2=8

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