y is directly proportional to x when y=30, x=6
a) work out an equation connecting y and x
b) work out the value y when x=12

Answer:

3905.12 feet

Step-by-step explanation:

we can form a triangle in order to use the Pythagorean theorem: a² + b² = h²

where:

a = distance covered on the ground

b = height above the Earth

3000² + 2500² = h²

h² = 9000000 + 6250000 = 15250000

h = √15250000

h = 3905.12 feet

Step-by-step explanation:

X + 9= 7

get x by itself you -9 on both sides

X + 9 = 7

- 9. -9

X = -2

Answer:

B

Step-by-step explanation:

The sections of the parallel roads split by the transversals are in proportion, that is

[tex]\frac{350}{300}[/tex] = [tex]\frac{first}{1650}[/tex] ( cross- multiply )

300 first = 577500 ( divide both sides by 300 )

first = 1925 ft

Thus

Elm st → Maple st = 1925 + 350 = 2275 ft → B

Answer:

w = 24

I hope this helps!

Answer:

31=1/1

33=1/1

30=3/10

3-=-3

Step-by-step explanation:

Answer:

x= 4

Step-by-step explanation:

40x-20=100+10x

Subtract 10x and add 20 both sides:

30x= 120

x=4

Answer:

45

Step-by-step explanation:

3rd from the left and over r considered 100s

Answer:

9

Step-by-step explanation:

Step 1:

6/10 = x/15

Step 2:

10x = 90

Answer:

x = 9

Hope This Helps :)

Answer:

x=9

Step-by-step explanation:

6/10 =x/15

10x =15 ×`6

10x =90

x=90 :10

x=9

Answer:

Step-by-step explanation:

Let the number of hats be n. Then money made is

Profit for each hat:

Profit for n hats

Deduct cost of advertisement - 50

Option C is correct

Answer: 34 members.

Step-by-step explanation:

We have 40 members.

Only 85% of them attend the Saturday meetings.

If we have a set of N objects, and the x% of them can be calculated as:

(x%/100%)*N

Now, if we want to know the exact amount that attends the Saturday meetings, then we must compute:

(85%/100%)*40 = 0.85*40 = 34.

Answer:

Please see attached number line

The 85% corresponds with having 34 members in attending Saturday meetings

Step-by-step explanation:

The number of members in the math club at Emily's middle school = 40

The percentage of members that attend Saturday meetings = 85%

Therefore, the number of members that attend Saturday meetings is given as follows;

85% of 40 = 0.85 × 40 = 34 members

Where we have a number line graduated in percentages, we get;

Percentage of members, 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

Number of members, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40

Therefore, the 85% corresponds with having 34 members in attending Saturday meetings

Answer:

Divide 8x^3 by 2x

Step-by-step explanation:

Here, we want to identify the first step to take in the polynomial division.

When working with a polynomial division, what to do is to divide the first term of the dividend by the first term of the divisor ( the divisor is arranged in descending powers of x)

The number we want to divide is the dividend, while the number we are using to divide is the divisor.

In this case, the first term of the dividend is 8x^3 while that of the divisor is 2x

The first step of the following division problem is to divide 8x³ by 2x

Given:

(8x³ – x2 + 6x + 7) ÷ (2x – 1)

(8x³ – x2 + 6x + 7) is the divided

(2x – 1) is the divisor

The first step in the be division of polynomial is to divide the first term of the bc dividend by the first term of the divisor.

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Answer:

22, -6

Step-by-step explanation:

q-8=14 or 8-q=14

q=22 or q= -6

Answer:

the answer for the problem |q-8|=14 is q=22 or q= -6

Answer:

Step-by-step explanation:

Let the value of the land = Rs . 30000

[tex]\frac{1}{3}of\frac{1}{7}of x = 30000\\\\\\\frac{1}{3}*\frac{1}{7}*x = 30000\\\\\\x = 30000*\frac{3}{1}*\frac{7}{1}\\\\\\[/tex]

x = Rs. 630000

Answer:

Last option

Step-by-step explanation:

Step 1: Write out equation

x² + 8x - 10 = 0

Step 2: Add 10 to both sides

x² + 8x = 10

Step 3: Complete the Square

x² + 8x + 16 = 10 + 16

(x + 4)² = 26

Step 4: Square root both sides

x + 4 = ±√26

Step 5: Subtract 4 on both sides

x = -4 ± √26

Answer:

the answer is 3

Step-by-step explanation:

I just did it

The value of the function for x=-1 is 3.

The given function is [tex]f(x)=x^{5} +(x+3)^{2}[/tex].

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

From the table, we get coordinates as (-2, -31), (-1, y), (0, 9) and (1, 17).

To find the y value of the coordinate (-1, y), substitute x=-1 in the given function.

That is, [tex]f(-1)=(-1)^{5} +(-1+3)^{2}=3[/tex]

Therefore, option D is the correct answer.

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Answer:

w=-6

Step-by-step explanation:

2(w-9)=5w+6+w

multiply 2 to the (w-9), also add the 5w to the other w

2w-18=6w+6

subtract 2w to 6w

-18=4w+6

subtract 6 to -18

-24=4w

divide 4 to -24

THE ANSWER IS -6

Answer:

let the number is x

-2(x-14) = -42

-2x + 28 =-42

-2x = -70

x= 35

Step-by-step explanation:

Answer: -77

Step-by-step explanation:

2x - 1 = 13

Add 1 on both sides

2x = 14

x = 7

Substitute x to 7

-(7)^2 -4(7)

Solve

-49 - 28 = -77

Answer:

-77

Step-by-step explanation:

-x^2-4x to [tex]-7^{2}[/tex]- ( 4  × 7)

-7^2 - ( 4  × 7)

-49 - ( 4  × 7)

-49 -28

=

-77

Answer:

a=90 b=90 c=90 d=148 e=32 f=148 g= 122 h=58 l=122

Step-by-step explanation:

a is supp. to 90 degrees, therefore it is 90 (180-90)=90.

b and c are vertical angles, therefore they are the same as the angle directly across from them

d is supp. to 32 degrees, therefore it is 148 (180-32)=148

e and f are vertical angles, therefore they are the same as the angle directly across from them

g is supp. to 58 degrees, therefore it is 122 (180-58)=122

h and l are vertical angles, therefore they are the same as the angle directly across from them

Answer:

Sandy did not follow PEMDAS and added first instead of doing her multiplication and division and then her addition and subtraction the answer would be 18

Answer:

linear equations, only when it is y=(equation with an x  

variable)) or x=(equation with an y  

variable), usually you tend to graph these.

Answer:

16

Step-by-step explanation:

Step-by-step explanation:

M=9 so m+n becomes 9+n.

N=7 so 9+n becomes 9+7.

9+7=16

Answer:

23

Step-by-step explanation:

Let the mean also is x

Mean = Sum of all observations / Total no of observations

x = 30 + 12 + 40 + 10 + x / 5

5x = 92 + x

4x = 92

x = 23

Therefore 23 is the mean and also one of the numbers.

The value of x such that mean of  30, x, 12, 40, and 10 is equal to x will be 23.

The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.

Mean = sum of data / Number of data

It is known that,

Mean = sum of data / Number of data

x = (30 + x + 12 + 40 + 10)/5

5x = x + 92

4x = 92

x = 23

Hence "The value of x such that mean of  30, x, 12, 40, and 10 is equal to x will be 23".

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Answer:

$34.78

Step-by-step explanation:

...............

Answer:

x= 1

Step-by-step explanation:

5x - (3+7)=9+2(x-8)

Add the numbers 3 + 7= 10

5x - 10= 9 + 2(x-8)

Expand 9 + 2(x-8): 2x - 7

5x - 10 = 2x - 7

Add 10 to both sides

5x -10 + 10 = 2x -7 + 10

Simplify 5x = 2x + 3

Subtract 2x from both sides

5x -2x = 2x + 3- 2x

Simplify

3x = 3

Divide both sides by 3

3x/3 =3/3

Simplify

x= 1