MATHEMATICS
HIGH SCHOOL

Answer:

Answer:

$48

Step-by-step explanation:

we know that

$80 represent 100%

so

using proportion

Find how much is 60%

80/100=x/60

x=80*60/100

x=$48

HIGH SCHOOL

Add parentheses to make problem right 5*6+10/8

It would be (5*6)+(10/8)

Answer:

5*(6+10/8)

Step-by-step explanation:

That is so because it is the one thing the person making the problem would want to do first. Everything else would be fine at its own time.

HIGH SCHOOL

The bill for five hamburgers and four salads is $9.50. The bill for four hamburgers and five salads is $10.30. What would be the bill for a hamburger and a salad?

Answer: the bill for a hamburger is $0.7

the bill for a salad is $1.5

Step-by-step explanation:

Let x represent the bill for a hamburger.

Let y represent the bill for a salad.

The bill for five hamburgers and four salads is $9.50. This means that

5x + 4y = 9.5- - - - - - - - - - - - - - 1

The bill for four hamburgers and five salads is $10.30. This means that

4x + 5y = 10.3 - - - - - - - - - - - - - -2

Multiplying equation 1 by 4 and equation 2 by 5, it becomes

20x + 16y = 38

20x + 25y = 51.5

Subtracting, it becomes

- 9y = - 13.5

y = - 13.5/ - 9

y = 1.5

Substituting y = 1.5 into equation 1, it becomes

5x + 4(1.5) = 9.5

5x + 6 = 9.5

5x = 9.5 - 6 = 3.5

x = 3.5/5 = 0.7

HIGH SCHOOL

Give the angle measure represented by 4.5 rotations counterclockwise.

1 rotation

= 360 degrees 4.5 rotations

= 4.5 x 360 degrees

=1620

hope this helps

= 360 degrees 4.5 rotations

= 4.5 x 360 degrees

=1620

hope this helps

Answer:

The angle measure represented by 4.5 rotations counterclockwise is 1620°

Step-by-step explanation:

Given : The angle measure represented by 4.5 rotations counterclockwise.

To find : The angle

Solution :

We know that, In a circle the rotation is 360 degree

i.e, 1 rotation = 360 degree

We have to find the angle measure represented by 4.5 rotations counterclockwise.

Therefore, The answer is 1620°.

HIGH SCHOOL

Naturally occurring gallium is a mixture of isotopes that contains 60.11% of Ga-69 (atomic mass = 68.93 u) and 39.89% of Ga-71 (atomic mass = 70.92 u). Which numerical setup can be used to determine the atomic mass of naturally occurring gallium?

Answer:

69.724

Step-by-step explanation:

You have to assume that you have 10000 atoms of gallium which would mean that 6011 of those atoms weigh 68.93 u while 3989 atoms weighs 70.92 u. So to calculate this calculation can be set up this way.

Answer:

69.72 u

Step-by-step explanation:

To find the relative atomic mass you multiply the percentage of occurrence by the mass of occurrence and add them up, then you divide by 100.

((60.11 × 68.93) + (39.89 × 70.92)) ÷ 100

=69.723811

HIGH SCHOOL

Geometry help please!!! 20 points :) In 2010, the population of Atlanta, Georgia was 419,979 and the population density was 3153 people per square miles.

What was Atlanta's land area in 2010?

Enter your answer as a decimal & Round your answer to the nearest tenth.

Answer: 133.2 square mile.

Step-by-step explanation:

Given: In 2010, the population of Atlanta, Georgia = 419,979

The population density = 3153 people per square miles

The formula to calculate the population density is given by :-

Hence, the Atlanta's land area in 2010 = 133.2 square mile.

The answer to this question is 133.2.

HIGH SCHOOL

What is the gcf of 42 and 70.?

The largest number that divides evenly into both 42 and 70 is 7.

To find the GCF, you need to list prime numbers that can multiply into 42 and 70.

42 - 7 * 2 * 3

70 - 7 * 2 * 5

So, the GCF, or Greatest Common Factor, of 42 and 70 is (7 * 2), since you can use the prime numbers 7 and 2 in both of their factor lists.

42 - 7 * 2 * 3

70 - 7 * 2 * 5

So, the GCF, or Greatest Common Factor, of 42 and 70 is (7 * 2), since you can use the prime numbers 7 and 2 in both of their factor lists.

MIDDLE SCHOOL

What is an equation of the line that is perpendicular to y=-3/4x+6 and passes through the point (3,9)

Answer:

Step-by-step explanation:

The line y= -3/4+6 in the comments has slope -3/4. A perpendicular line will have the negative reciprocal of -3/4. It's 4/3.

To write the equation, substitute 4/3 and the point (3,9) into

MIDDLE SCHOOL

The width of a rectangle is 11.4 meters and its length is 18.7

Find the area.

Answer:

Area = 213.18

Step-by-step explanation:

11.4 x 18.7 = 213.18

Hope this helps you! :)

HIGH SCHOOL

children climb 8 ft to get to the top of a slide. the end of the slide is 1 ft above the ground and the slide rises at a 45 degree angle. if the slide makes a straight line from the top to the bottom, how far does the child travel down the slide?

Since the end of the slide is 1 foot above the ground, the vertical rise of the

slide is 8 - 1 = 7 feet, and since the slide rises at a 45 degree angle it will

have a horizontal run of 7 feet as well. Thus by Pythagoras the length of the

slide is sqrt(7^2 + 7^2) = sqrt(98) = 9.90 feet, which is about 10 feet.

slide is 8 - 1 = 7 feet, and since the slide rises at a 45 degree angle it will

have a horizontal run of 7 feet as well. Thus by Pythagoras the length of the

slide is sqrt(7^2 + 7^2) = sqrt(98) = 9.90 feet, which is about 10 feet.