A caterer is planning a party for 64 people. The customer has $150 to spend. A $39 pan of pasta feeds 14
people and a $12 sandwich tray feeds 6 people. How many pans of pasta and trays of sandwiches should the
caterer make?

Answer:

After 88 seconds, they will blink together.

Step-by-step explanation:

Time after which the first light blinks = 8 seconds

Time after which the second light blinks = 22 seconds

Initially, both the lights blink together.

To find:

The time at which they will blink together again.

Solution:

Let us have a look at the time after which each light will blink.

First light will blink after:

8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......

Second light will blink after:

22 s, 44 s, 66 s, 88 s, 110 s, .....

It can be seen that common time is 88 second, at which the both will blink together.

So, the answer is 88 s.

This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.

Using the factorization method:

[tex]8=\underline{2}\times 2\times 2[/tex]

[tex]22=\underline{2}\times 11[/tex]

Common is 2.

Therefore the LCM will be:

[tex]2\times 2\times2\times 11 = \bold{88}[/tex]

So, the answer is 88 s.

Answer:

6

Step-by-step explanation:

2(6) - 3(6) + 20 + 5(6) - 40 = 4  CORRECT

2(8) - 3(8) + 20 + 5(8) - 40 = 12 WRONG

2(16) - 3(16) + 20 + 5(16) - 40 = 44  WRONG

2(18) - 3(18) + 20 + 5(18) - 40 = 52 WRONG

Answer:

a₆ = [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

The n th term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex] , thus

a₆ = 12[tex](\frac{1}{2}) ^{5}[/tex] = 12 × [tex]\frac{1}{32}[/tex] = [tex]\frac{12}{32}[/tex] = [tex]\frac{3}{8}[/tex]

Answer:

this is a system of equations , and it's no surprise that it's tricky for you. these are tricky for anyone.

Step-by-step explanation:

X=adults

Y=children

I only know to make these two equations from experience doing these types of questions.

X+Y=800

7X +5Y=4600

there are a few ways to solve this , i"m just going to multiply the first equatlion by 7 and the subtract  the 2nd  from that whole equation.

7(X +Y=800)

7X +7Y = 5600

-(7X +5Y =4600)

0X +2Y = 1000

Y  = 500   ( 500 children went to the movies )

by inspection  you can probably see that 300 adults had to go too

500 kids

300 parents

also that's 4600 dollars to let those people in

7(300) + 5(500) = 4600

2100 + 2500 = 4600

Answer:

D

Step-by-step explanation:

$.40

Step-by-step explanation:

if you want the full one it's .415

Answer:

Step-by-step explanation:

Let Lucas final grade be x

All Lucas grade will be 75, 78, 82, and 84 and x.

Average score = 95

Since we are not told what to look for, we can find the Lucas final grade.

Using the formula for calculating mean (average)

Mean = Sum of the score/total test taken

95 = 75+78+82+84+x/5

95 = 319+x/5

Cross multiply

95×5 = 319+x

475 = 319+x

x = 475-319

x = 156

Lucas final grade is 156

One sixth of Lucas final grade = 1/6 × 156 = 26

Answer:

10, 12, 14

Step-by-step explanation:

Answer:

10,12 and 14

Step-by-step explanation:

Hope that helps <3

Answer:

62

Step-by-step explanation:

If the diver started 4 four feet above the ground and ended 58 feet below the surface, the diver went down, so we can solve this by taking the total distance traveled like so:

[tex]|4+58|[/tex] = 62

Answer: Actual area of wall = 50 sq. inches

Step-by-step explanation:

Given: Scale : 1 cm : 2.5 inches

A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be?

So, Actual length = 2  x 2.5 inches = 5 inches

Actual width = 4 x 2.5 inches = 10 inches

Actual area = Actual length x Actual width

= 5 x 10 = 50 sq. inches

Hence, Actual area of wall = 50 sq. inches

Answer:

∠H = 122°

Step-by-step explanation:

This is a 5-sided polygon. That means the sum of all the angles must equal 540°.

∠H + 107° + 97° + 130° + 84° = 540°

∠H = 540° - (107° + 97° + 130° + 84°)

∠H = 540° - 418°

∠H = 122°

Answer:

a. subtraction property of equality

Step-by-step explanation:

Answer:

First Question is B

Second Question is C

Step-by-step explanation:

You can’t have the same x values going to different y values

Answer:

30 pages per hour

Step-by-step explanation:

Leo can read 10 pages in 20 minutes.

60 minutes in a hour

20 x 3 = 60

10 x 3 = 30

Answer:

7/8

Step-by-step explanation:

well first when you put them together like 3/8 and 7/9 you have to simplfy first. You have to cross simplify 3 and 3. Since they are the saem both turn into one. Now you mulitpy. 7 times 1 is 7 and 8 times one is 8. 7/8

Answer:

[tex]\frac{7}{24}[/tex]

Step-by-step explanation:

To factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).

The number of times that each prime divides the original integer becomes its exponent in the final result.   In our example,  Prime number [tex]2^3=8[/tex]

[tex]\frac{3*7}{2^3*3^2}[/tex]

We need to perform a multiplication. The following rule is applied:

[tex]\frac{A}{B}*\frac{C}{D}=\frac{AC}{BD}[/tex]

In our example, the factors in the new numerator are 3,7

The factors in the new denominator are [tex]2^3, 3^2[/tex]

Answer:

9 command Cards

Step-by-step explanation:

Answer:

im pretty sure its 7.31

Answer:

x = 1/4

Step-by-step explanation:

remove the parenthesis

collec like terms

caculate

move constant to the right

calculate

divide both sides

Answer: The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .

Step-by-step explanation:

Given: Humans shed about 3million particles of skin every 5 hours.

Since, 1 million = 1,000,000

Then 3 million = 3 x 1 million

[tex]= 3 \times1,000,000[/tex]

[tex]= 3,000,000[/tex]

[tex]=3\times10^6[/tex]

On comparing to [tex]a\times 10^{b}[/tex] , we get a = 3 and b=6

So, the approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .

Answer:

6

Step-by-step explanation:

First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.

Answer:

Step-by-step explanation:

1/6

Answer:

Each pair is $17.31 average

Step-by-step explanation:

All you do is divide $69.25 by 4

Answer:17 or 18....17.31 that's what it gave me but if you rounded to the nearest number that could be your answer

Step-by-step explanation:

This is ezz homework pay attention in class

I think this is correct

Answer:

21:12

Step-by-step explanation:

Answer:

7:4

Step-by-step explanation:

because u simplify 21:12 and u would get 7:4

Answer:

I accidentally clicked I can’t click out

Step-by-step explanation:

Sorry

Answer:

a=6

Step-by-step explanation:

1/2a+1/3a=5

5/6a=5

a=6

hope this helps

brainliest?

Answer:

a=6

Step-by-step explanation:

1/2a + 1/3a =5

Multiply each side by 6 to clear the fractions

6(1/2a + 1/3a) =5*6

3a +2a = 30

Combine like terms

5a = 30

Divide by 5

5a/5 = 30/5

a = 6

Answer:

37

Step-by-step explanation:

10,15,19,22,27,32,37,37,75

Answer:

5x9x10^10

Step-by-step explanation:

your question is incomplete

Answer:

$64

Step-by-step explanation:

Since there were 4 of them and the coupons were $10 off, they saved a total of $40

To find how much they would have spent without the coupons, add 40 to 216:

216 + 40

= 256

To find the normal cost of one ticket, divide this by 4:

256/4

= 64

So, the price of one concert ticket without the coupon is $64