2x + 3y = 53
3x - y = 19
Work out the values of x and y.

Answer:

12cm²

Step-by-step explanation:

a=l·w

the easiest way to find the area is to break up the shapes.

the smaller shape is 1cm by 2cm

1·2= 2 cm

the larger shape is 5cm by 2cm

5·2= 10 cm

add them

2+10= 12cm

Answer:

12cm^2

Step-by-step explanation:

These are two rectangles if we divide.

So,

Area of rectangle = length × breadth

So we will name the bigger rectangle as R1 and the smaller rectangle as R2.

So,

Area of R1 = l × b

Area of R1 = 5×4

Area of R1 = 5 × (4-2)

Area of R1 = 5 × 2

Area of R1 = 10 cm^2

Area of R2 = l × b

Area of R2 = (4-2) ×1

Area of R2 = 2 × 1

Area of R2 = 2cm^2

So,

Area of complete figure = Area of R1 + Area of R2

Area of complete figure = 10 + 2

Therefore, Area of complete figure = 12cm^2

Hope it helps!!!!

Answer:

9

Step-by-step explanation:

81 to find the square root of 81 you got to find 2 numbers that multiply to get to 81

Answer:

I don't understand what you want me to answer.

Step-by-step explanation:

Answer:

a) 20 sixth graders.

b) 6 sixth graders.

c) 2/9x sixth graders.

d) 189 students in the school.

Step-by-step explanation:

a) 2/9 of 90 = 2/9 * 90 = 20 students.

b) 2/9 of 27 = 2/9 * 27 = 6 students.

c) 2/9 of x = 2/9x

d) 42 = 2/9x so solve the equation: x = 189 students.

If we have 90 students in the school then we will have  20 sixth grade students.

a. From the details of the question, we have 2/9 of the students in the school in sixth grade. Hence;

Number of students in sixth grade = 2/9 × 90 = 20 sixth grade students

b. If the school has 27 students, number of sixth graders =  2/9 ×  27 = 6 sixth grade students

c. If we have x students in the school, the number of sixth graders =  2/9 × x = 2/9x students

d. If we have 42 students in sixth grade, the number of students in the school is;

2/9 × x = 42

x = 9/2 × 42 = 189 students

Learn more about fractions: https://brainly.com/question/1301963

Answer:

A. 2.53

Step-by-step explanation:

20.24/8

Answer:

What are the options?

Step-by-step explanation:

Possible solutions shown of the graph: (0,5) or (4,0)

Answer:

-1310715

Step-by-step explanation:

By the formula of a geometric sequence, we work out:

[tex]\sum_{k=1}^{18} -5 \cdot 2^{k-1}\\= -5 \cdot \sum_{k=0}^{17} 2^{k}\\= -5 \cdot \frac{2^{18}-1}{2-1}\\= -1310715[/tex]

Answer:

2w = -3 + 5

W = 2

Step-by-step explanation:

Answer:

8.v = r 2 πh 3

Step-by-step explanation:

Answer:

two ways to get this

1 by unit analysis

l / g → m / (m/s^2) → s^2  

so you'd need  

root of l/g to get s (time units)

2

from the formula

T = 2 pi sqrt(L/g)

Step-by-step explanation:

two ways to get this

1 by unit analysis

l / g → m / (m/s^2) → s^2  

so you'd need  

root of l/g to get s (time units)

2

from the formula

T = 2 pi sqrt(L/g)

Answer:

the angle between the diagonal is 0.6155 RADIANS

Step-by-step explanation:

Given the data in the question

as illustrated in the image below;

O is [0,0,0]

B is [15,0,15]

E is [15,15,15]

Now to find angle BOE

vector OB = [15,0,15]

vector OE = [15,15,15]

OB.OE = [15,0,15].[15,15,15] = 15 × 15 + 15 × 15 = 450 = |OB||OE|cos[angleBOE]

|OB| = √(15² + 15²) = √(225 + 225) = √450

|OE| = √(15² + 15² + 15²) = √(225 + 225 + 225) = √675

so

Angle BOE = cos⁻¹ (  450 / ( √450 × √675 )

Angle BOE = cos⁻¹ ( 0.81649 )

Angle BOE = 35.265°

Angle BOE = 0.6155 RADIANS

Therefore, the angle between the diagonal is 0.6155 RADIANS  

Answer:

23

Step-by-step explanation:

2x+ 8(2)= 30

2x+ 16=30

2x=14

x=7

50,000 because 8 is larger than 5 so you round up to 5 in the ten thousands place.

Answer:

Step-by-step explanation:

A parallelogram can always be decomposed into two identical triangles by a segment that connects opposite vertices. Going the other way around, two identical copies of a triangle can always be arranged to form a parallelogram, regardless of the type of triangle being used.

Answer:

less than , less than, minimum

Step-by-step explanation:

got it right

Answer:

Complete the statements to compare the weights of female babies with the weights of male babies.

The median female birth weight is

the median male birth weight.

The range of female birth weight is

the range of male birth weight.

Which birth weight measure is the same for both genders?

Step-by-step explanation:

Edge 2022

Answer:

You can buy 5 songs.

Step-by-step explanation:

First, you would divide 9 by 12 which is 0.83, assuming that each song costs 0.83 by itself you would just add 0.83 + 0.83 until you reach 4.15, the amount of times you added is the answer, which is 5 lolz

Answer:it is 60

Step-by-step explanation:

The diagram is missing, so i have attached it.

Answer:

h = 7.7 cm

Step-by-step explanation:

From the attached image, we can see that the hypotenuse is 15 cm with the opposite side being h cm.

The angle is 31°

Thus, using trigonometric ratio, we have;

h/15 = sin 31

h = 15 sin 31

h = 15 × 0.5150

h = 7.725

Approximating to 1 decimal place gives;

h = 7.7 cm

Answer: 22.1°

Step-by-step explanation:

Applying law of sines, we have:

8² = 19² + 14² - 2*14*19 * Cos(x)

64 = 557 - 532*cos(x)

64 - 557 = -532*cos(x)

-493 = -532*cos(x)

Divide both sides by -532

-493/-532 = cos x

0.926691729 = cos x

x = cos^-1(0.926691729)

x = 22.1° (nearest tenth)

Answer:

1. 6cm

2. 14cm

3. 12cm

4. 8cm

5. 9cm

6. 5cm

Step-by-step explanation:

Hope this helps

Answer:

131.95888888888888

Step-by-step explanation:

Your Welcome :)

Answer:

15 girls.

Step-by-step explanation:

Hope this helps!

Answer:

15 girls

Step-by-step explanation:

2:3 ratio

If you know the amount of boys, then 2x=10, x=5

Now you know that the scale factor is 5

So, multiply 5*3 to get the amount of girls

Answer:

B and C is your answer BH x 1/2 is formula of triangle and formula of rectangle/parallelogram is BH

Answer:

-25

Step-by-step explanation:

Answer:

21-6

Step-by-step explanation:

Answer:

The cost of the roses are $53.10

Celebration! Hope this helps ^_^

Answer:

Slope m=2, y-intercept b=5 --> y=2x+5

Slope m=3, y-intercept b=5 --> y=3x+5

Slope m=5, y-intercept b=4 --> y=5x+4

Step-by-step explanation:

The slope number goes with x, and the y-intercept gets either added or subtracted from the end of the equation depending on weather it's positive or negative. (subtracted if it's negative and added if it's positive)

Answer:

62.5%

Step-by-step explanation:

150/240=0.625

you do 0.625x100 to get the percent.

Answer:

its a

Step-by-step explanation:

did it on khan 2021