Drag the correct word and the appropriate value to the box with each given interval

Answer:

Step-by-step explanation:

Total students = 120

Number of students studying Mathematics P(A) = 90

Number of students studying Science P(B) = 72

Number of students who doesn't study both subjects P(AUB)'= 10

1) Number of students studying atleast on subject = 120 -10 = 110

2) Number of students studying both math and science = (90 +72) -110

                     = 162 -110 = 52

3) Number of students studying only mathematics = 90 -52 = 38

4) Number of students studying only science = 72 -52 = 20

Answer:

32

Step-by-step explanation:

because 64 divided by 2 is 32

Answer:

the answer is :

20 for the first figure

12 for the second figure

30 for the last figure

Answers:

==============================================

Explanation:

The perimeter is the total distance around the outer edge of the figure. It's the total amount of fence you need to enclose the region.

So we simply add up all the side lengths. Refer to the diagram to see any missing sides that aren't labeled (shown in blue).

For instance, the perimeter for problem 1 is 5+2+2.5+4+2.5+6 = 22 cm. Problems 2 and 3 are handled the same way.

It's not a typo that the perimeters of problems 1 and 2 are the same value. This is because both figures can be surrounded by a rectangle that is 6 cm across and 5 cm tall. The perimeter of the surrounding rectangle is exactly the same as the perimeter of the inner fenced region. We're effectively just moving fence around but not changing the perimeter.

Answer:

The slope of line LM is perpendicular to the given line.

Step-by-step explanation:

L (- 5, - 3), M (0, 3)

N (- 6, - 5) , O (0, 0)

J (- 6, 1) , K (0, - 4)

Slope of given line = -5/6

Slope of perpendicular line = 6/5

Slope of line LM

[tex]\frac{3 + 3}{0 + 5}=\frac{6}{5}[/tex]

Slope of line NO

[tex]\frac{0+5}{0+6}=\frac{5}{6}[/tex]

Slope of line JK

[tex]\frac{-4-1}{0+6}=\frac{-5}{6}[/tex]

Answer: LM is the correct answer

Step-by-step explanation: Just took the test

Step-by-step explanation:

using the formula (y2-y1)/(x2-x1)we plug the numbers In the slop formula (6--4)/(-1--5)= 10/4

Answer:

Step-by-step explanation:

(x1,y1)= (-5,-4)

(x2,y2)=(-1,6)

Distance=√(x2-x1)²+(y2-y1)²

=(-1-5)²+(6-4)²

=(-6)²+(10)²

=36+100

=136 answer,,

therefore, the slope of the line is 136unit

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

a(b + c) = ab + ac

The a to the left of the parentheses multiplies both numbers inside the parentheses. The you add the products.

This is the distributive property of multiplication over addition.

2/3 × (1/3 + 4/5) = (2/3 × 1/3) + (2/3 × 4/5)

The 2/3 to the left of the parentheses multiplies both numbers inside the parentheses. The you add the products.

This is the distributive property of multiplication over addition.

Answer:

13/52

Step-by-step explanation:

Answer:

$0.25

Step-by-step explanation:

So total of 5.25 after tax Sorry if i am wrong am pretty sure this is correct.

Answer:

9

Step-by-step explanation:

Do it left from right.

[6+-7]-(-8)+4-2

[-1-(-8)]+4-2=[-1+8]+4-2

[7+4]-2

11-2

9

I don't know Spanish/what laugnange you speak sorry.

Answer:

y+3x+1

Step-by-step explanation:

Answer:

the value of x + y is 250

Step-by-step explanation:

I hope it helps u

Answer:

b = - 1.09

Step-by-step explanation:

- 2.9 + b ÷ 0.1 = - 39.9

- 2.9 + b ÷ 0.1 × 0.1 = - 39.9 × 0.1

- 2.9 + b = - 3.99

- 2.9 + 2.9 + b = - 3.99 + 2.9

b = - 1.09

Answer:

Exact form

b=-37/10

Decimal form

b=-3.7

Mixed Number form

b+-3 7/10

Step-by-step explanation:

-2.9+b/1/10+-39.9

-2.9+10b+-39.9

10b=-39.9+2.9

10b=-37

b=-37/10

Answer:

20.8

Step-by-step explanation:

Use the Pythagoras's Theorem

12²-36²=[tex]\frac{x}{2}[/tex]²

144-36=[tex]\frac{x}{2}[/tex]²

108=[tex]\frac{x}{2}[/tex]²

Root both sides

√108=√[tex]\frac{x}{2}[/tex]²

[tex]\frac{x}{2}[/tex]≈10.4

[tex]\frac{x}{2}[/tex]·2=10.4·2

x=20.8

Answer:

True the triangle is a right triangle.

Step-by-step explanation:

the Pythagorean Theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex]

so,

[tex]85^{2} =7225\\77^{2} =5929\\36^{2} =1296\\5929+1296=7225[/tex]

Answer:

i beleive its option number 1

Answer:

first graph

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Then g(x) = | x | - 4 is the graph of f(x) shifted down by 4 units

This is represented by the first graph on the left

Answer:

The answer is below

Step-by-step explanation:

1) Average speed is the ratio of the total distance travelled to the total time taken. Hence it is given by:

Average speed = total distance / total time

Total distance = d miles + w miles

Jacqui drives three times as long as she walks during the trip, hence:

time spent driving = 3t

Total time = 3t + t

Average speed = total distance / total time

a = (d + w) / (3t + t)

2) (3t + t) represents the total time that Jacqui spends traveling to the beach.

3) Given that a = 36 miles per hour, total time = 2 hours

a = total distance / total time

36 miles per hour = total distance / 2 hours

total distance = 72 miles

Total distance = distance walk + distance drove

72 = distance walk + 70

Distance walk = 2 miles

Answer:

6x < - 39 3/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

P(red gum ball)= 6/14=3/7

6/14 can be simplified to 3/7 by dividing by 2. 6/2=3. 14/2=7.

P(red gum ball)=3/7

Answer:

C. 2^8 • 2^(2/10) • 2^(4/100)

Answer:

[tex]volume \: of \: the \: prism = 4 \frac{1}{2} \times 2 \ \frac{1}{2} \times 6 \\ = \frac{9}{2} \times \frac{5}{2} \times 6 \\ = 67.5 {cm}^{3} [/tex]

X = 1

Because where the two lines intersect, they have the same x value, one

Answer:

x = 1

Step-by-step explanation:

Look at the graph to see where the lines intersect.

f(1) = 1

g(1) = 1

When x = 1, the output value of both functions is 1.

Answer: x = 1

Answer:

6 cubic inches

Step-by-step explanation:

To find the volume of a box you do Length * Width * Height

So we can do:

6*4*2/8

=24*2/8

=6

The volume of the box is 6 cubic inches

Answer:

its the first, 3rd, and 5th option

Step-by-step explanation:

Answer:

See answers below

Step-by-step explanation:

Given the function:

f(x) = 0.15x + 900

a) f(80) = 0.15(80) + 900

f(80) = 12 +  900

f(80) = 912

b)  f(120) = 0.15(120) + 900

f(120) = 18 +  900

f(120) = 918

c) f(200) = 0.15(200) + 900

f(200) = 30 +  900

f(200) = 930

d)  f(56) = 0.15(56) + 900

f(56) = 8.4 +  900

f(56) = 908.4

[tex]\longrightarrow{\green{Option\:1.\:(14\:-\:7m)}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]5 \: (4 - m) - 2 \: (m + 3) \\ \\ = 20 - 5m - 2m - 6[/tex]

Combining like terms, we have

[tex] = 20 - 6 - 5m - 2m \\ \\ = 14 - 7m[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]