MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

60

Step-by-step explanation:

2of the 250mg pills 3times a day=6 pills a day for 10 days = 60 pills

MIDDLE SCHOOL

Please help!!!

Rewrite the radical as a rational exponent. 3√2 7

Answer: 3√2 7=9 (3)^(1/2)

Solution:

3√2 7=3√(9)(3)=3√9√3=3(3)√3=9√3=9 (3)^(1/2)

MIDDLE SCHOOL

What numbers multiplie to equal -30 but add to equal -1

Answer:

5 and -6.

Step-by-step explanation:

When you add 5 and -6, you get -1. When they are multiplied, you get -30. I just did this by finding all of the factors that went into 30 and making one negative.

MIDDLE SCHOOL

There were 287 tickets purchased for a major baseball game. The general admission tickets cost $6.50 and the upper reserved tickets cost $10.00. The total amount of money spent was $2429.00.how many of each kind of ticket were purchased?

6.5g + 10u = 2429

g. +. u= 287

-10g. -. 10u. = -2870

6.5g + 10u =2429

-3.5g = -441

g= 126 general tickets

126 + u = 287

u = 161 upper tickets

g. +. u= 287

-10g. -. 10u. = -2870

6.5g + 10u =2429

-3.5g = -441

g= 126 general tickets

126 + u = 287

u = 161 upper tickets

MIDDLE SCHOOL

What is the expanded form of 5.37? A. 500+30+7

B. 5+0.3+0.07

C. 5+0.03+0.007

Answer:

B

Step-by-step explanation:

If you look at the place values 5 is the units so its 5 3 is the tenth so its 0.3 and 7 is the hundredth so its 0.07

MIDDLE SCHOOL

Renee is making a scale diagram of her mp3 player. The length of her scale drawing is 8 inches, and the width is 14 inches. The actual length of the mp3 player is 4 centimeters, and the width is 7 centimeters. what is the scale factor?

Answer: 2

Explanation:

The scale factor is the ratio between the scale drawing measures and the actual measures.

scale drawing length 8 inches

scale factor = ratio = -------------------------------- = --------------- = 2

actual length 4 inches

Also,

scale drawing width 14 inches

scale factor = ratio = ----------------------------- = --------------- = 2

actual width 7 inces

As seen the scale factor is 2.

Explanation:

The scale factor is the ratio between the scale drawing measures and the actual measures.

scale drawing length 8 inches

scale factor = ratio = -------------------------------- = --------------- = 2

actual length 4 inches

Also,

scale drawing width 14 inches

scale factor = ratio = ----------------------------- = --------------- = 2

actual width 7 inces

As seen the scale factor is 2.

MIDDLE SCHOOL

Determine the number of solutions the system has.

2x = 2y -6

y = x + 3

Both equations are identical, so there are infinitely many solutions.

MIDDLE SCHOOL

What is the subsets of 17 over 4573

The statement 17 over 4573 can be written as:

17 / 4573

We can see that the number is positive and is in fractional form, hence a positive decimal number. A positive decimal number is in the subset of rational numbers.

Therefore:

17/ 4573 belongs to the subset of rational numbers

MIDDLE SCHOOL

What is the solution of the equation below? Round your answer to two decimal places.

10 times log(4x) = 25

Answer:

x ≅ 79.1

Step-by-step explanation:

10log(4x) = 25

2log(4x) = 5

log((4x)²) = 5

(4x)² = 10⁵

16x² = 100,000

x² = 6,250

x ≅ 79.1

(A) 79.06 is the correct answer!

COLLEGE

Ninety-three passengers rode in a train from City A to City B. Tickets for regular coach seats cost

$122.

Tickets for sleeper cars seats cost

$284

The receipts for the trip totaled

$18,960.

How many passengers purchased each type of ticket?

The number of coach tickets purchased was ____

The number of sleeper car tickets purchased was ______

Answer:

number of coach tickets = 46 tickets

number of sleeper car tickets = 47 tickets

Explanation:

Assume that number of coach tickets is x and that number of sleeper car tickets is y

We are given that:

1- Total number of tickets purchased is 93. This means that:

x + y = 93

This can be rewritten as:

x = 93 - y ............> equation I

2- coach ticket costs $122, sleeper car ticket costs $284 and that the total receipt was for $18960. This means that:

122x + 284y = 18960 ..........> equation II

Substitute with I in II and solve for y as follows:

122x + 284y = 18960

122(93-y) + 284y = 18960

11346 - 122y + 284y = 18960

162y = 7614

y = 7614 / 162

y = 47

Substitute with y in equation I to get x as follows:

x = 03 - y

x = 93 - 47

x = 46

Hope this helps :)

number of coach tickets = 46 tickets

number of sleeper car tickets = 47 tickets

Explanation:

Assume that number of coach tickets is x and that number of sleeper car tickets is y

We are given that:

1- Total number of tickets purchased is 93. This means that:

x + y = 93

This can be rewritten as:

x = 93 - y ............> equation I

2- coach ticket costs $122, sleeper car ticket costs $284 and that the total receipt was for $18960. This means that:

122x + 284y = 18960 ..........> equation II

Substitute with I in II and solve for y as follows:

122x + 284y = 18960

122(93-y) + 284y = 18960

11346 - 122y + 284y = 18960

162y = 7614

y = 7614 / 162

y = 47

Substitute with y in equation I to get x as follows:

x = 03 - y

x = 93 - 47

x = 46

Hope this helps :)