MATHEMATICS
HIGH SCHOOL

Answer:

x represents the number of nickels, 3x represents the number of quarters, and Mark had 8 nickels and 24 quarters.

What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that Mark had 3 times as many quarters as nickels which means that for each nickel, Mark had 3 quarters. Because the number of quarters depends on the number of nickels, we can form that if Mark had x nickels, then he had 3x quarters.

Mark had $ 1.60 in all; which means that by adding the quarters and the nickels, Mark had $1.60.

$1.60=3x+x

32=3x+x; being x the amount of nickels.

Solving the equation, 32=3x+x, we obtain:

32=4x

x=32/4=8.

So x=8

Mark also had 3x quarters, then 8*3=24 quarters.

In summary, x represents the number of nickels, 3x represents the number of quarters, and Mark had 8 nickels and 24 quarters.

To know more about an expression follow the;

brainly.com/question/19876186

#SPJ5

Answer:

Correct Answer:

x represents: Mark's nickels

3x represents: Mark's quarters

COLLEGE

Slope = 10 passes through (6,2)

(x1,y1) = (6,2)

m = 10

The equation of the line

y - y1 = m (x - x1)

y - 2 = 10 (x - 6)

y -2 = 10x - 60

y = 10x - 60 + 2

y = 10x - 58

m = 10

The equation of the line

y - y1 = m (x - x1)

y - 2 = 10 (x - 6)

y -2 = 10x - 60

y = 10x - 60 + 2

y = 10x - 58

MIDDLE SCHOOL

3.4 - 5 - 10.4 Can you please show your work

The answer is -12, okay since 5 plus 10.4 is 15.4, we subtract 15.4 from 3.4 and we get -12

3.4

- 10.5

---------

-12.0 = -12

3.4

- 10.5

---------

-12.0 = -12

MIDDLE SCHOOL

75 ones + 73 tens + 6 hundreds + 6 thousands =

75+730+600+6000=7405 Answer : 7405!! :D

The answer world be

- - - -

(7405)

- - - -

(7405)

HIGH SCHOOL

Julio invested $2,000 in a simple interest account for 3 years. At the end of the 3 years, she had earned $150 in interest. What was the simple interest rate of the account?

Answer:

r = 2.5%

Step-by-step explanation:

The formula for simple interest account is

i = I · r · n / 100

where i - is interest, I - investment, r -interest rate and n- number of years

according to that

r = i · 100/ I · n = 150 · 100/ 2000 · 3 = 5/2 = 2.5%

r = 2.5%

God with you!!!

HIGH SCHOOL

What is the equation of the line in standard form? (-1,-4) (2,2)

To solve this, you need to use the slope formula which is (y2-y1)/(x2-x1).

When you set it up, it should look something like this: (2-(-4))/(2-(-1)) which would simplify to 6/3 which would simplify to 2. This only finds your slope, however. Now that you know your slope, you can start by first setting up you equation in slope intercept form which should be in this format: y=mx+b

Since you already know the slope (m) and the x and y values (you can use either coordinate, I'm just using (2,2)) your equation would look something like this: 2=2(2)+b. After this, you solve for b which happens to be -2, making your slope intercept equation: y=2x-2.

Now you can convert to standard form. In standard form, you have to have the equation in this format: ax+by=c where there cannot be decimals, fractions, and everything needs to already have the greatest common factor taken out. When you do this, you first need to subtract over 2x which makes the equation look like this: -2x+y=-2. However, ax cannot be negative, so you multiply your entire equation by -1. You then get your answer: 2x-y=2

When you set it up, it should look something like this: (2-(-4))/(2-(-1)) which would simplify to 6/3 which would simplify to 2. This only finds your slope, however. Now that you know your slope, you can start by first setting up you equation in slope intercept form which should be in this format: y=mx+b

Since you already know the slope (m) and the x and y values (you can use either coordinate, I'm just using (2,2)) your equation would look something like this: 2=2(2)+b. After this, you solve for b which happens to be -2, making your slope intercept equation: y=2x-2.

Now you can convert to standard form. In standard form, you have to have the equation in this format: ax+by=c where there cannot be decimals, fractions, and everything needs to already have the greatest common factor taken out. When you do this, you first need to subtract over 2x which makes the equation look like this: -2x+y=-2. However, ax cannot be negative, so you multiply your entire equation by -1. You then get your answer: 2x-y=2

MIDDLE SCHOOL

Sarah saving account balance changed by $34 one week and by negative $67 next week which amount represents the greatest change

Week one. The account changes by $34 the first week but only by $33 the second.

MIDDLE SCHOOL

What is 12,598 to the nearest thousand

12,598 to the nearest thousand is 13,000

13,000 hope it helps

COLLEGE

A dental insurance policy covers three procedures: orthodontics, filling, and extractions. During the life of the policy, the probability that the policyholder needs: Orthodontic work is 1/2 Orthodontic work or a filling is 2/3 Orthodontic work or an extraction is 3/4 A filling and an extraction is 1/8 The need for orthodontic work is independent of the need for a filling and is independent of the need for an extraction. Calculate the probability that the policyholder will need a filling or an extraction during the life of the policy.

Answer: 0.71

Step-by-step explanation:

A="The policyholder needs Orthodontics"

B="The policyholder needs filling"

C="The policyholder needs extraction"

P(A)=1/2, P(AUB)=2/3, P(AUC)=3/4, P(B∩C)=1/8

The events are independents, so:

P(A∩B)=P(A)P(B), P(A∩C)=P(A)P(C) and P(B∩C)=P(B)P(C)

P(AUB) = P(A)+P(B)-P(A∩B) = P(A)+P(B)+P(A)P(B)

2/3=1/2+P(B)-1/2*P(B), P(B)=1/3

P(AUC) = P(A)+P(C)-P(A∩C) = P(A)+P(C)+P(A)P(C)

3/4=1/2+P(C)-1/2*P(C), P(C)=1/2

P(BUC)=P(B)+P(C)-P(B∩C)=1/3+1/2-1/8=17/24

P(BUC)=0.71

COLLEGE

A foam material has a density of 175 g/l. what is its density in units of lb/ft3? How do you get 1 gram/liter = 0.06242796 pound/cubic foot?

Answer:

Given: 175 g/L

1 gram/liter = 0.06242796 pound/cubic foot

175 g/L * 0.06242796 pound/cubic foot= 10.924893 lb/ft3

So, a foam material has a density of 10.924893 lb/ft3 in units of lb/ft3

Step-by-step explanation: