Evaluate 3(x + y) for x = 2 and y = 7 show work.

Answer:     Seven hundred thirteen point forty-nine.

Step-by-step explanation:    Hope this helps ;)

Answer:

u = 59

Step-by-step explanation:

The sum of the exterior angle is equal to the sum of the opposite interior angles

u+ u-19 = u+40

2u -19 = u+40

Subtract u from each side

2u-19-u = u+40-u

u-19 = 40

Add 19 to each side

u+19-19 =40+19

u = 59

Answer:

(a) 3750 to 3 s.f

(b) 0.004710 to 4 s.f

(c) 5000 to 2 s.f

(d) 0.10000 to 2 s.f

0.10000 to 3 s.f

Step-by-step explanation:

Things to note when rounding off a number to a number of significant figures:

For a given number,

i. the most significant digit is the leftmost digit as long as it is not zero. For example, in 789, the most significant digit is 7.

ii. when rounding off to m significant figures, the least significant digit is the mth digit from the most significant digit. This can be zero. For example, to round off 789 to 2 significant figures, the least significant digit is 8 (since it's at position 2 starting from 7).

iii. every digit from the least significant digit is a non-significant digit. For example, to round off 789 to 2 significant digit, the digits after 8 (which is the least significant digit) are all non-significant. In this case, 9 is not significant. After rounding off, these non-significant digits are changed to zero.

iv. the first non-significant digit is the digit just after the least significant digit. For example, to round off 789 to 2 significant digit, the digit just after 8 (which is the least significant digit) is 9. Therefore, 9 is the first non-significant digit.

Rounding off rules

i. the least significant digit will be unchanged if the first non-significant digit is less than 5.

ii. the least significant digit will be increased by 1 if the first non-significant digit is greater than or equal to 5.

iii. all non-significant digits are either removed or changed to zero depending on whether the number is a decimal.

(a) 3748 (3 s.f)

The least significant digit here is 4 since it is at position 3 starting from the most significant digit 3

The first non-significant digit is 8 which is greater than 5.

Therefore, the least significant digit 4 is increased by 1 to get 5 and the non-significant digits (8 in this case) are changed to 0.

The result is thus 3750.

(b) 0.004070989 (4 s.f)

The least significant digit here is 0 since it is at position 4 starting from the most significant digit 4

The first non-significant digit is 9 which is greater than 5.

Therefore, the least significant digit 0 is increased by 1 to get 1 and the non-significant digits (8 and 9 in this case) are changed to 0.

The result is thus 0.004071000.

The ending zeros can be removed to give 0.004071

(c) 4971 (2 s.f)

The least significant digit here is 9 since it is at position 2 starting from the most significant digit 4.

The first non-significant digit is 7 which is greater than 5.

Therefore, the least significant digit 9 is increased by 1 to get 10. This is a sort of overflow. This means that the least significant digit will be 0 and a 1 will be added to the significant digit before it (5 in this case which will become 6 due to the addition). The non-significant digits (7 and 1 in this case) are changed to 0.

The result is thus 5000

(d) 0.09999 (2 s.f)

The least significant digit here is 9 since it is at position 2 starting from the most significant digit 9.

The first non-significant digit is 9 which is greater than 5.

Therefore, the least significant digit 9 is increased by 1 to get 10. This is a sort of overflow.

This means that the least significant digit will be 0 and a 1 will be added to the significant digit before it (9 in this case which will become 10 due to the addition).

This addition also causes an overflow thereby causing 1 to be added to the digit before it (0 in this case which will become 1 due to the addition). The non-significant digits (9 and 9 in this case) are changed to 0.

The result is thus 0.10000

The ending zeros can be removed to give 0.1

d (ii) 0.09999 (3 s.f)

The least significant digit here is 9 since it is at position 3 starting from the most significant digit 9.

The first non-significant digit is 9 which is greater than 5.

Therefore, the least significant digit 9 is increased by 1 to get 10. This is a sort of overflow.

This means that the least significant digit will be 0 and a 1 will be added to the significant digit before it (9 in this case which will become 10 due to the addition).

This addition also causes an overflow thereby causing 1 to be added to the digit before it (9 in this case which will become 10 due to the addition).

This addition also causes an overflow thereby causing 1 to be added to the digit before it (0 in this case which will become 1 due to the addition). The non-significant digits (9 in this case) are changed to 0.

The result is thus 0.10000

The ending zeros can be removed to give 0.1

Answer:

x=72°

Step-by-step explanation:

given,

DEF=216°

DF =360-216

the value of x=144/2( inscribed angle is half of its arc)

Answer:

y = 6

Step-by-step explanation:

5y + 1 = 31

Subtract 1 from each side

5y + 1-1 = 31-1

5y = 30

Divide by 5

5y/5 = 30/5

y = 6

Answer:

y = 6

Step-by-step explanation:

5y means 5 multiplied by something. 5y + 1 equals 31. So 5 multiplied by 6 equals 30 + 1 = 31, which is the given answer.

Answer:

Step-by-step explanation:

Volume = pi·(r^2)*h

r = radius = (5x+4)

h = height = (2x+5)

Volume = pi·(r^2)

Volume = pi·(5x+4)^2*(2x+8)

Volume = pi·(25x^2+40x+16)*(2x+8)

Volume = pi·(50x^2+80x+32+200x^2+32x+128)

Volume = pi·(250x^2+112x+160)

Answer:

45°

Step-by-step explanation:

a triangle is 180° and we can see that it is a right angled triangle. so we just subtract 90 from the 180 then divide that 90 by 2 to get 45°

Answer:

46

Step-by-step explanation:

Follow the order of operations

The value of the expression 6(24 ÷ 3) - 2 is 46.

To evaluate the expression 6(24 ÷ 3) - 2, we follow the order of operations, which is commonly referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

First, we simplify the expression inside the parentheses:

24 ÷ 3 = 8

Now we substitute the result back into the original expression:

6(8) - 2

Next, we perform the multiplication:

6 * 8 = 48

Finally, we perform the subtraction:

48 - 2 = 46

Therefore, the value of the expression 6(24 ÷ 3) - 2 is 46.

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Answer:

i  took my ruler and i would say that AB is about an inch long

Step-by-step explanation:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Answer:

1. 1/2

2. .5

3. 50%

Step-by-step explanation:

2 of the types of cards out of 4 is 2/4 which is half

Answer:

1/2 or unsimplified: 26/52

.5

50%

Step-by-step explanation:

half of the cards are a diamond or club so the probability is one out of 2 which is one half

1/2 equals .5

then a 50% chance because 50% is half of 100%

f ( 4 ) = - 10

___________

g ( x ) = 2 , x = 0

Answer:

1,500 balloons in 20 packages

Step-by-step explanation:

75 x 20 = 1500

Answer:

-2, 7

Step-by-step explanation:

I dont know I just know the answer i am only in 5th grade plz have mercy

Answer:

368 square meter

Step-by-step explanation:

just guessing

Answer:368

I got it right

Answer:

free

Step-by-step explanation:

points .-.

Answer:

Step-by-step explanation:pool or grass

Answer: The answer is C

Answer:

1st Option is correct

Step-by-step explanation:

Hope it is helpful....

Answer:

the third one is the ans.

Answer:

x<1 [the answer is positive, not negative btw]

I think you forgot to put the negative sign for two of the answer choices..

Step-by-step explanation:

answer is x<1

Step-by-step explanation:

x is less than 1

Answer:

3^-9

Step-by-step explanation:

3^-4 • 3^-5

We know that a^b * a^c = a^(b+c)

3^-4 • 3^-5 = 3^(-4-5) = 3^ -9

Answer:

8/125cm3

Step-by-step explanation:

A=lxwxh

A=2/5 x 2/5 x 2/5

A=8/125cm

I hope this helps <3

Answer:decrease by 12 feet

Step-by-step explanation:I did the math

A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, the new area will be decreased by 12.

The area of a rectangle is the product of its length and width.

If a rectangle has a length L units and a width of W units, then

Area = L × W squared units.

A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, what will be the effect on the area.

Area = L × W

Let the length and width are x and y

27 = x × y

xy = 27

The new area if its length and width are changed to 2/3 of their original size

Area = L × W

[tex]27 \times 2/3 \times 2/3\\\\= 3 \times 4\\\\= 12[/tex]

Therefore, the new area will be decreased by 12.

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Answer:

[tex]l_d=11.28ft[/tex]

Step-by-step explanation:

From the question we are told that:

Angle [tex]\theta=28 \textdegree[/tex]

Height of Fence  [tex]h=6 feet[/tex]

Generally the equation for Length of shadow cast by the fence  is mathematically given by

Since

Shadow cast forms a right angle triangle

 [tex]l_d=\frac{h}{tan \theta}[/tex]

 [tex]l_d=\frac{6}{tan 28}[/tex]

 [tex]l_d=\frac{6}{tan 28}[/tex]

 [tex]l_d=11.28ft[/tex]

Therefore the minimum distance x that a plant needing full sun can be placed from a fence that is 6 feet high is

 [tex]l_d=11.28ft[/tex]

Answer:

w = 5

Step-by-step explanation:

Combining like terms is a very important part to this equation!

5.2w - 1.4 = 3.2w + 8.6

I added 1.4 to the right side first, though you must do it to the left side of the equation as well

5.2w - 1.4 + (1.4) = 3.2w + 8.6 + (1.4)

5.2w = 3.2w + 10

Combine the remaining like terms. I subtracted 3.2w from both sides.

5.2w + (-3.2w) = 3.2w + (-3.2) +10

2w = 10

Now divide

2w = 10

w =  [tex]\frac{10}2}[/tex]

w = 5

Answer:

The answer is below

Step-by-step explanation:

The correct question is attached.

Two quantities are said to be proportional if as one quantity increases, the other quantity increases. Also, as one quantity decreases, the other quantity decreases.

Given the lines A, B and C. The constant of proportionality can be gotten by  getting the equation of the line.

Line A passes through (0,0) and (1, 5). The equation of line A is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{1-0}(x-0)\\\\y=5x[/tex]

The constant of proportionality between y and x is 5.

Line B passes through (0,0) and (3, 5). The equation of line A is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{3-0}(x-0)\\\\y=\frac{5}{3} x[/tex]

The constant of proportionality between y and x is 5/3.

Line C passes through (0,0) and (3, 2). The equation of line A is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{2-0}{3-0}(x-0)\\\\y=\frac{2}{3} x[/tex]

The constant of proportionality between y and x is 2/3.

Answer:

line c

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

7 x 4 x 4 = 112

112 unique outcomes