MATHEMATICS HIGH SCHOOL

Bradley is in a class of 15 boys and 10 girls. 40% of the class takes the bus to school. How many students do not take the bus to school?

Answers

Answer 1

Answer:

Answer:

30 Students

Step-by-step explanation:

As given

Bill is in a class of 15 boys and 35 girls.

Total number of students in the class = Number of boys + Number of girls

= 15 + 35

= 50

As given

40% of the students in the class take the bus to school.

40% is written in the decimal form.

= 0.40

Number of students take bus to school = 0.40 × Total students in class.

= 0.40 × 50

= 20

.Thus

Students not take bus to school = Total students - Number of students take bus to school

= 50 - 20

= 30

Therefore 30 students not take bus to school .

Answer 2

Answer:

Answer:

15 students

Step-by-step explanation:

First of we have to calculate how many students there are in the class. There are 15 boys and 10 girls, whish means there are 25 people in total (15+10=25).

Since 40% takes the bus to school, 60% of the sudents do not take the bus to school. The easiest way to calculate how many students is 60% is to first divide the students with 10. 25/10 is 2.5. 2.5 students is 10% of 25 students (100% divided by 10 is 10%).

To get 60%, the number of students has to be multiplied with 6, because 10% times 6 is 60%.

2.5 (10%) times 6 is 15, so the answer is 15.

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Answers

is there anything else you can tell me

Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teacher ratio proportional to the middle school's. How many students will Cristine find when she gets to high school? A) 900 B) 1100 C) 2200 D) 2500

Answers

900/45 = 20

so ratio of middle school students and teachers: 900:45 = 20:1

if high school student-teacher ratio as middle school then

x/110 = 20/1

so x = 110 * 20 = 2200

answer is C) 2200

I had this answer on a test it is definitely 2200 sorry if I answered to late xD

A batch of cookies requires 1 1/2 cups of sugar. How many batches can Ty make with 7 1/2 cups of sugar?

Answers

Answer:

5 batch of cookies.

Step-by-step explanation:

A batch of cookie requires $1(1)/(2)$ cups of sugar.

Ty has $7(1)/(2)$ cups of sugar.

He can make the total number of batches = $7(1)/(2)$ ÷ $1(1)/(2)$

= $(15)/(2)$ ÷ $(3)/(2)$

= $(15)/(2)$ × $(2)/(3)$

= $(30)/(6)$

= 5 batches of cookies

Ty can make 5 batches of cookies.

Ty can make 5 because if you add 1 1/2 5 times it will add up to 7 1/2

What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7 ?

Answers

The slope of a line that is perpendicular to a line whose equation is −2y = 3x + 7 is $(2)/(3)$

Solution:

Given that we have to find the slope of the line that is perpendicular to a line whose equation is −2y = 3x + 7

The slope intercept form is given as:

y = mx + c

Where "m" is the slope of line and "c" is the y - intercept

Given equation is:

$-2y = 3x + 7\n\n-y = (3)/(2)x + (7)/(2)\n\ny = (-3)/(2)x - (7)/(2)$

On comparing the above equation with slope intercept form,

$m = (-3)/(2)$

We know that product of slope of a line and slope of line perpendicular to it is -1

Therefore,

$(-3)/(2) * \text{ slope of line perpendicular to it } = -1\n\n \text{ slope of line perpendicular to it } = (2)/(3)$

Thus slope of line that is perpendicular to given line is $(2)/(3)$

The map below shows the length of a proposed land bridge at Phil Hardberger Park. The length of the land bridge is represented by PHin the map below.
P(2,55)
H(32, 15)
On the map, each unit represents 1 yard. To the nearest yard, what is the actual length of the land bridge from P to H?
A 50 yards
B. 150 yards
C. 78 yards
D. 234 yards

Answers

Answer:

A; the actual length of the land bridge from P to H is 50 yards

Step-by-step explanation:

Here in this case, given the coordinates of P and H, we want to calculate the actual length of the distance between the two points.

Mathematically, to calculate this distance, we make use of the distance formula;

D = √(x2-x1)^2 + (y2-y1)^2

In this case, (x1,y1) = (2,55) while (x2,y2) = (32,15)

Substituting these values

D = √(32-2)^2 + (15-55)^2

D = √(-30)^2 + (-40)^2

D = √(900 + 1600)

D = √(2,500)

D = 50 units

Now, we know that each units represent 1 yard, thus 50 units will represent 50 * 1 = 50 yards

The equation of a circle is (x - 3)2 + (y + 2)2 = 25. The point (8, -2) is on the circle.What is the equation of the line that is tangent to the circle at (8, -2)?

y = 8
x = 8
x = 3
y = 3