Find the sum. Write the sum as a mixed number, so the fractional part is less than 1. Number 3. 2 2/3 + 3 2/3 number 5. 9 3/6 + 2 2/6 number 7. 4 3/8 + 1 5/8

Answer:

196-49 pi

Step-by-step explanation:

diameter of circle is 14

radius-7

7^2=49

49 pi

14^2=area of square

196-49pi= area of shaded area.

Answer:

im pretty sure the area is 196

Step-by-step explanation:

because when finding the area of a rectangle/ square you use the formula Length * Width and as we can see the sides of the shaded are are equivalent and as we know the length of the shaded area is 14.

we would just plug in our information.

L*W

14*14= 196

Answer:

100$

Step-by-step explanation:

he profit from 1 popcorn=0.85$

from 200=170$

170$-70$=100

Answer:

m = 5

a = -3

b = -15

Step-by-step explanation:

(m - 2) = 3 for x^2

(2a + 3) = - (m - 2) = (2 - m) for x^1

(b + 6) = (2a - 3) for x^0

Step-by-step explanation:

5³×1/5⁵

5×5×5×1/5×1/5×1/5×1/5×1/5

=1/25

or

1/5²

Answer:

2.50x+80>4.00

Step-by-step explanation:

9514 1404 393

Answer:

  24 cm²

Step-by-step explanation:

When the diagonals of a quadrilateral cross at right angles, the area of it is half their product.

  A = (1/2)(d1)(d2)

  A = (1/2)(6 cm)(8 cm) = 24 cm²

The area of the kite is 24 square centimeters.

Answer:

5a. 8:21

6a. 26:1

16 model airplanes on his shelf

4 times as many model airplanes as model trains

let's denote the number of model trains as m

So,

m=16×4

m=64

Therefore,there are 64 model trains.

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Answer:

Q. 11 x=29

Q. 12 x=24

Step-by-step explanation:

Q.11

sum of all sides of triangle = 180°

(2x+20)+(x+10)+(2x+5)=180°

5x+35=180°

5x=180°-35

5x=145°

x=145/5

x=29°

Q.12

sum of all sides of triangle=180°

96+(2x)+(x+12)=180°

3x+108=180°

3x=180-108

3x=72

x=72/3

x=24

Answer:

86.1yd

Step-by-step explanation:

area of a triangle= base*height/2

21*8.2=172.2

172.2/2=86.1

Answer:

86.1yd2

Step-by-step explanation:

area=1/2×b×h

a=1/2×21×8.2

a=86.1yd2

THhe cross product is found by multiplying the numerator (top number) of one fraction by the denominator (bottom number) of the other fraction.

1/4 = 5/20

1 x 20 = 20

4 x 5 = 20

The cross product is 20

Answer:

20

Step-by-step explanation:

1 x 20 = 20

4 x 5 = 20

Hope that helps!

9514 1404 393

Answer:

Step-by-step explanation:

Where x represents the previous year's salary, its amount this year is said to be ...

  x + 2000

The equation is trying to reflect the fact that 7% of that is $3,290. The missing number is 2000:

  0.07(x +2000) = 3290

__

Solving for x, we find ...

  x = (3290/0.07) -2000 = 45000

Sandra's salary the previous year was $45,000.

8.75*4=35  so $35 for shirts

and depending on how many shoes she buys but lets just say one pair

35+27.50= 62.50              so it would be a total of $62.50

Step-by-step explanation:

Step-by-step explanation:

General quadratic equation: y = ax² + bx + c.

When x = 0, y = -3.

=> (-3) = a(0)² + b(0) + c, c = -3.

We now have y = ax² + bx - 3.

When x = 2, y = -4.

=> (-4) = a(2)² + b(2) - 3, 4a + 2b - 3 = -4,

4a + 2b = -1.

Our 1st system of equations is 4a + 2b = -1.

When x = 4, y = -3.

=> (-3) = a(4)² + b(4) - 3, 16a + 4b - 3 = -3,

16a + 4b = 0, 4a + b = 0.

Our 2nd system of equations is 4a + b = 0.

Now we solve the system of equations:

4a + 2b = -1

- (4a + b = 0)

=> b = -1

Hence 4a + (-1) = 0, 4a = 1, a = 1/4. (B)

Answer:

3ft

Step-by-step explanation:

We are given that

Height of lamp, h=12ft

Height of shadow, l=6ft

Height of shadow of hydrant, l'=1.5ft

Let height of hydrant=h'

We have to find the height of fire hydrant.

All right triangles are similar

When two triangles are similar then, the ratio of their corresponding sides are equal.

Using the property

[tex]\frac{h}{h'}=\frac{l}{l'}[/tex]

[tex]\frac{12}{h'}=\frac{6}{1.5}[/tex]

[tex]h'=\frac{12\times 1.5}{6}[/tex]

[tex]h'=3[/tex]ft

Hence, the height of fire hydrant=3 ft

Answer:

ok for the first part of the question This is a 2 part question! Use this information for the open-ended question that follows.

Valery and Manuel ride their bikes 40 miles every Saturday.  Valery rides at an average speed of 9.6 miles per hour (mph).

a) EXACTLY how many hours does it take Valery to ride her bike 40 miles?

ANSWER (A) 4.17

b) Use this graph below to identify what Manuels average speed is:

ANSWER (B) 10 mph

I don't know the open ended question

Answer:

5

Step-by-step explanation:

i took the test

The required length of one side of the given regular pentagon is  5 units.

Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons, etc

Here,
We can use the formula for the area of a regular pentagon to solve for the length of one side,
Area = (1/2) * Perimeter * Apothem

Since the pentagon is regular, all sides are equal, so we can write:

Perimeter = 5 * Length of one side

Substitute in the first expression

50 = (1/2) * 5 * Length of one side * 4

50 = 10 * Length of one side

Length of one side = 5

Learn more about polygon here:
https://brainly.com/question/24464711
#SPJ2

Answer:

[tex]y=82[/tex]

Step-by-step explanation:

We know the value of x is -9 so we can plug it in as -9.

[tex]y=x^2+1\\y=(-9)^2+1\\y=81+1\\y=82[/tex]

Answer:

82=y

Step-by-step explanation:

-9 x -9 = 81

81 + 1 = 82

Answer:

53

Step-by-step explanation:

its the same to DAB because it is in the opposite side to the DAB

Answer:

Step-by-step explanation:

In Rhombus, diagonals are angle bisectors.

So, ∠DAC = ∠CAB

∠A = ∠DAC+∠CAB

    = 53 + 53

∠A = 106

In Rhombus, opposite angles are equal.

∠DCB = ∠A

∠DCB = 106°

Answer: The width of each flag = 12 cm

The average amount of time it takes Sandra to make each flag =  20 minutes.

Step-by-step explanation:

Given: The ratio of the length to the width the official german flag is 5:3.

Let length = 5x, width = 3x

Length of each flag = 20 cm

i.e. [tex]5x=20\Rightarrow\ x=\dfrac{20}{5}=4\text{ cm}[/tex]

Then width of each flag = 3 x 4 = 12 cm

i.e. width of each flag = 12 cm

Total time to make 12 flags = 4 hours

Time taken to make 1 flag = [tex]\dfrac{4}{12}[/tex] hour

Time taken to make 1 flag = [tex]\dfrac{1}{3}[/tex] hour

1 hour = 60 minutes

Time taken to make 1 flag = [tex]\dfrac{1}{3}\times60[/tex] minutes = 20 minutes.

Hence, the average amount of time it takes Sandra to make each flag =  20 minutes.

Answer:

391.

Step-by-step explanation:

There is 60 minutes every hour, so you divide by 60. 68 / 60 = 1.1333333333.

Now, we have to find out how many minutes there are in 5 hours and 45 minutes. Since there is 60 minutes every hour, 6 x 5 + 45 = 300 + 45 = 345. 1.1333333333 x 345 = 390.9999999885, rounded = 391.

Answer:

V = 4/3 * pi * radius^3

 = 4/3 * 22/7 * 11*11*11 = 117128/21 = 5577.5238092.....

Step-by-step explanation:

Answer:

(x+5)(x-5)

Step-by-step explanation:

x^2-25 = x^2 - 5^2 = (x+5)(x-5)

rule: a^2 - b^2 = (a+b)(a-b)

Answer:

(√y)3

Step-by-step explanation:

Answer:

A. [tex]\frac{1}{6^{2} }[/tex]

Step-by-step explanation:

A. [tex]\frac{1}{6^{2} } = \frac{1}{36} = 0.02777[/tex]

B. [tex]6^{-3} = 0.004629[/tex]

C. [tex]\frac{1}{216} = 0.004629[/tex]

D. [tex]\frac{1}{6^{3} } = \frac{1}{216} = 0.004629[/tex]

Answer:

I think it is A because B or D is not it so I was left with A and C. So I am pretty sure that is A.

Answer:

4030 or 3040 I think 4030 though

Step-by-step explanation:

I think this is it but 6*8 is 48....I used a little logic so hopefully this is right

Answer:

4030

Step-by-step explanation:

if 9× 7 = 3545 then it 7 × 5, 9× 5 which gives 3545

4x3 = 3× 5, 4×5 which gives 1520

so 6× 8 will give 8×5, 6×5 = 4030

Answer:

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Answer:

Evaluate

18 ER TM×2,130