Select all the expressions that are equal to 1/2. ( --- is a minus sign just so you know)
O 18/20 --- 4/10
O 1/8 + 2/3
O 4/12 + 1/6
O 7/8 ---1/4
O 12/15 ---3/5

Answer: 20 hr

Step-by-step explanation:

Given

The depth of accumulated snow is [tex]d=10\ in.[/tex]

Snow is melting at the rate of [tex]r=0.5\ \text{in. per hour}[/tex]

Time taken for complete melting of snow is

[tex]\Rightarrow t=\frac{d}{r}\\\\\Rightarrow t=\frac{10}{0.5}=20\ hr[/tex]

Given:

A figure of a kite.

To find:

The area of the given kite.

Solution:

The area of a kite is the half of the product of its diagonals.

[tex]A=\dfrac{d_1d_2}{2}[/tex]             ...(i)

Where, [tex]d_1,d_2[/tex] are two diagonals of the kite.

From the given figure it is clear that the length of one diagonal is the sum of 12 and 8.

[tex]d_1=12+8[/tex]

[tex]d_1=20[/tex]

Let the second diagonal be 2x. The first diagonals bisect the second diagonal. So, the length of one parts of the diagonal is x.

Diagonals of a kite are perpendicular to each other. Using Pythagoras theorem, we get

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

[tex]13^2=x^2+12^2[/tex]

[tex]169-144=x^2[/tex]

[tex]25=x^2[/tex]

[tex]5=x[/tex]

The length of second diagonal is:

[tex]d_2=2x[/tex]

[tex]d_2=2(5)[/tex]

[tex]d_2=10[/tex]

Substituting [tex]d_1=20,d_2=10[/tex] in (i), we get

[tex]A=\dfrac{20\times 10}{2}[/tex]

[tex]A=\dfrac{200}{2}[/tex]

[tex]A=100[/tex]

Therefore, the area of the kite is 100 square units.

Answer:

9/10

Step-by-step explanation:

To solve this you need a common denominator, here we'll make it 10, leaving 7/10 and simplifying 20/100 by dividing both the 20 and 100 by 10 to get our common denominator of 10. Now we have 7/10 + 2/10 which is 9/10.

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

1) Add x to both sides.

[tex]17 = 1 + 3x + x[/tex]

2) Simplify 1 + 3x + x to 1 + 4x.

[tex]17 = 1 + 4x[/tex]

3) Subtract 1 from both sides.

[tex]17 - 1 = 4x[/tex]

4) Simplify 17 - 1 to 16.

[tex]16 = 4x[/tex]

5) Divide both sides by 4.

[tex] \frac{16}{4} = x[/tex]

6) Simplify 16/4 to 4.

[tex]4 = x[/tex]

7) Switch sides.

[tex]x = 4[/tex]

Therefor, the answer is x = 4.

Answer:

273984828kdjsssdjdjdjdjddddeejddfj

Answer:

47

Step-by-step explanation:

First, all triangles' angles add up to 180 degrees. We would first have to figure out the measure of <QSR. To do this, add all angles you know. We have to assume <SQR is 90 degrees since it is aligned with the other triangle. So, 90+27=117. Then, we would do 180-117 to find <QSR since all triangles angles 180 degrees. This is 63. Then, because these triangles are along a 180 degree (straight) line, we would do <PSQ, 70, so 70+63 which equal 133, and then 180-133 since all angles equal 180. This is 47.

Answer

Calculator.net

i hope you use this it will help a lot

Answer:

67.75%

Step-by-step explanation:

Given:

Given that:

µ = 76 ; σ = 4.7

P(x < 80.7) - P(x < 71.4)

Obtain the standardized score, Z ; x = 71. 4

Zscore = (x - μ) / σ

P(x < 71.4) = (71.4 - 76) / 4.7

P(x < 71.4) = - 4.6 / 4.7

P(x < 71.4) = - 0.9787

P(z < 0.9787) = 0.16386

x = 80.7

P(x < 80.7) = (80.7 - 76) / 4.7

P(x < 80.7) = 4.7 / 4.7

P(x < 80.7) = 1

P(z < 1) = 0.84134

0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%

Answer:

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.

Step-by-step explanation:

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.

Answer:

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Step-by-step explanation:

Example: 6,8,20

6-1,2,3,6

8-1,2,4,8

20-1,2,4,5,20

GCF is 2

Answer:

52(9/7)^t/1.5

Step-by-step explanation:

The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;

Initial number of branches = 52

Increment every 1.5 years = 2/7

N(t) = Initial * (1 + r)^t

t expressed per year = t/1.5

Hence,

N(t) = 52(1 + 2/7)^t/1.5

N(t) = 52(9/7)^t/1.5

Answer:

the answer is 7p

Step-by-step explanation:

p(5)+p(2)=7p

Answer:

3/4

Step-by-step explanation:

The greatest common factor is 2 since 2 divides both into 6 and 8 so 3/4 is the answer since 3x2/4x2

Answer:

x=5

Step-by-step explanation:

3 = 12/4

x = 20/4

x = 5

Answer:

one solution

x = 12

Step-by-step explanation:

3 (x-1) = 2x + 9

3x - 3 = 2x + 9

subtract 2x from each side of the equation:

x - 3 = 9

add 3 to each side:

x = 12

Step-by-step explanation:

3x-3=2x+9

3x-2x=9+3

x=12

only one solution

Answer:

x(x+2)(x+3)

Step-by-step explanation:

Answer:

x+2

Step-by-step explanation:

Answer:

let no of pigs=x

ducks=y

x+y=10.....(1)

4x+2y=36

2x+y=18....(2)

by(1)..y=10-x

putting vvalue

2x+10-x=18

x=8

ducks=8

Answer:

Independent: Number of cups he sells

Dependent: Amount of money he makes

Step-by-step explanation:

Answer:

x = 8.44, y = 7.56

Step-by-step explanation:

x + y = 16 (equation 1)

5x - 4y = 12 (equation 2)

(x + y = 16)× 5

(5x - 4y = 12) × 1

9y/9 = 68/9

y = 7.56

Substitute the value of x in equation 1

x + 7.56 = 16

x = 16 - 7.56

x = 8.44

Therefore, x = 8.44, y = 7.56

Answer:

x = 76 / 9 [ 8 (4 / 9) = [tex]8.\bar{4}[/tex] ]

y = 68 / 9 [ 7 (5 / 9) = [tex]7.\bar{5}[/tex] ]

__________________

Step-by-step explanation:

There are several methods that can be used to solve systems but in this situation, it is generally easier to cancel out a variable by adding the system of equations together.

This is how it's done:

x + y = 16

5x – 4y = 12

__________

4 ( x + y = 16 )

+ 5x – 4y = 12

[Multiplying the entire equation by 4 to cancel out the y because 4y – 4y = 0]

___________

4x + 4y = 64

+ 5x – 4y = 12

__________

9x = 76

÷9 ÷9

[Dividing by the coefficient of 9x in x to get x]

______

x = 76 / 9.

_______

Now that we have the x variable, you can simply substitute that quantity into x + y = 16 to solve for y.

So:

x + y = 16

[substituting the value of x into the equation]

(76 / 9) + y = 16

[Creating a common denominator that

can be canceled out]

(76 / 9) + (9y / 9) = (144 / 9)

76 + 9y = 144

[Subtracting 76 from both sides to isolate 9y]

–76 –76

__________

9y = 68

÷9 ÷9

[Dividing both sides by the coefficient of 9y in y to get y]

_________

y = 68 / 9

_________

We can also verify that these variables have the correct value because:

x + y = 16

5x – 4y = 12

→

(76 / 9) + (68 / 9) = 16

5(76 / 9) – 4(68 / 9) = 12

__________________

(76 + 68 / 9) = 16

(380 / 9) – (272 / 9) = 12

___________________

144 / 9 = 16

(380 – 272 / 9) = 12

__________________

144 / 9 × 9 = 16 × 9

108 / 9 = 12

__________________

144 = 144 ✓

108 / 9 × 9 = 12 × 9

_________________

144 = 144 ✓

108 = 108 ✓

Answer:

44

Step-by-step explanation:

I just used mental math soooo.......

have a great day luvs <3

Answer:

44

Step-by-step explanation:

3+4+8+9+2+5+6+7=

7+8+9+2+5+6+7=

15+9+2+5+6+7=

24+2+5+6+7=

26+5+6+7=

31+6+7=

37+7= 44

44 = 44

Answer:

j = $15

t = $5

Step-by-step explanation:

This question can be solved using simultaneous equation

let the price of t-shirt be represented with t

let the price of jeans be represented with j

From the question, these two equations can be derived

2j + 6t = 60  eqn 1

4j + 3t = 75  eqn 2

multiply eqn 1 by 2

4j + 12t = 120  eqn 3

Subtract eqn 2 from 3

9t = 45

divide both sides by 5

t = 5

Substitute for t in eqn 1

2j + 6(5) = 60

2j = 30

j = 15

Answer:

circumference = pi (3.14 or 22/7, whatever your teacher wants or whatever the problem asks) x the diameter

Step-by-step explanation:

Answer:

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).

Step-by-step explanation:

I hope the images help!!

Answer:

[tex]\boxed {\boxed {\sf 596.4 \ kilometers}}[/tex]

Step-by-step explanation:

Let's create a proportion using this setup.

[tex]\frac {liters}{kilometers} = \frac{liters}{kilometers}[/tex]

We know that 25 liters are used for 355 kilometers.

[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{liters}{kilometers}[/tex]

We don't know how many kilometers are used with 42 liters. Therefore we say x kilometers are used for 42 liters.

[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{42 \ liters}{x \ kilometers}[/tex]

[tex]\frac {25 }{355 } = \frac{42 }{x}[/tex]

Cross multiply. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.

[tex]25*x=42*355[/tex]

[tex]25x=14910[/tex]

Since we are solving for x, we need to isolate the variable. x is being multiplied by 25. The inverse of multiplication is division, so divide both sides by 25.

[tex]\frac{25x}{25}=\frac {14910}{25}[/tex]

[tex]x=596.4[/tex]

The car can travel 596.4 kilometers with 42 liters of fuel.

Answer:

5 containers

Step-by-step explanation:

Converting to a decimal can make questions like this easier to solve.

3 3/4 = 3.75

3/4= .75

3.75 cups divided by .75 cup containers results in 5 containers needed.

Answer:

X = 4

Step-by-step explanation:

17 -X = 1 +3X

NOTE: PUT X IN ONE SIDE AND THE NUMBER IN OTHER

so 17 -X = 1 +3X so it will be 3x + x = 4x

then 17 - 1 = 16

4 divide by 16 = 4

so X = 4

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

Answer:

there is nothing like that

Step-by-step explanation:

there is no squre root of2

Answer:

wef

Step-by-step explanation:

wef