Solve for x:

3x - 4 = 20

it will take him 5 months

Find how much more he wants to bench:

300-200 = 100

He needs to increase by at least 100 pounds.

So 20 pounds per month has to be greater than 100 pounds.

20x > 100

Divide both sides by 20:

X > 5 months

Answer:

Slope = 2/3

Y-intercept = -5

Step-by-step explanation:

Since the equation is written in y = mx + b format. The m is the slope and b is the y-intercept. In place of m is 2/3 and in place of b is -5. Therefore, the slope is 2/3 and the y-intercept is -5.

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The equation of line is y = ( -2/3 )x - 5 , where the slope is m = -2/3 and the y intercept is b = -5

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = ( -2/3 )x - 5

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

Slope m = ( -2/3 )

The y-intercept b = -5

Hence , the equation of line is y = ( -2/3 )x - 5

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Answer: 48 feet below the surface

Step-by-step explanation:

From the question, we are informed that two divers are underwater. Nick is 33 feet below the surface while Tristan is 15 feet above him.

Tristan's depth will be represented as x.

Therefore, x - 33 = 15

x = 15 + 33

x = 48

Therefore, the answer is 48 feet below the surface.

Answer:

B 18 feet below

Step-by-step explanation:

So subtract 33-15 bechas depth means below and since tristan has less of a depth to go rather than Nick you would subtrac.

Hope this helped! :)

Answer:

x=36° (180/5x because 2x+3x)

Step-by-step explanation:

Answer:

4 wholes 3 out of 8

Step-by-step explanation:

...........

Step-by-step explanation:

convert mixed to improper fraction.

5/3×21/8

35/8

Answer:

The value of a = 4 , b = 3

Step-by-step explanation:

Given the equation,

x⁴ - 4[tex]x^{b}[/tex] + 6x² - ax + 1

so, the coefficients are -      1     4      6     a     1

the Pascal's triangle is as follows :

                                         1

                              1                     2

                   1                   2                        1

         1                   3                   3                         1

 1                4                   6                      4                       1

So,

from Pascal's triangle ,

we can see that , after comparing with given equation , we get

Row n = 4

The coefficient be 1 4 6 4 1

∴ we get

a = 4

and

(x+y)⁴ = x⁴ + 4x³y + 6x²y² + 4xy³ + y⁴

Now, as given equation be x⁴ - 4[tex]x^{b}[/tex] + 6x² - ax + 1

By comparing we get y = -1 and b = 3

So, we get

a = 4 , b = 3

Answer:

m and n are both equal to 10

Step-by-step explanation:

Because we see that the two of the angles here are 45 and 90, we know then that the third angle is also 45.  This tells us that the sides m and n are of equal length.

With that in mind, we can simply use the Pythagorean theorem to find their values:

m² + n² = (10√2)²

given that m = n, then:

m² + m² = (10√2)²

2m² = (10√2)²

2m² = 100 × 2

2m² = 200

m² = 100

m = 10

So both m and n are equal to 10.

Answer:

937 feet

Step-by-step explanation:

tan32 = x/1500

0.625 = x/1500

0.625*1500 = 937.304

Answer:

12.67

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THANK YOU.

Answer:

C

Step-by-step explanation:

x = 3

y = -4

(3, -4)

Answer:

The answer is C

Step-by-step explanation:

(3,-4)

.................dhdhdgdhdusjshshshs

Answer:

Goods Serivces Tax

Step-by-step explanation:

Answer:

(-2,5)

Step-by-step explanation:

D must be the same height (y) as A so  y= 5

D must have the same x as C so x = -2

so D = (-2,5)

Answer: The first 6 terms are = 8, 10, 12,14,16,18

Step-by-step explanation:

The NTH term of an Arithmetic Sequence is given as

an = a1 + (n - 1 ) d

where a1 = First term  given as 8 and

d=  common difference given as 2

Therefore  We have that

the first term

an = a1 + (n - 1 ) d = 8+(1-1) 2

a1= 8

second term=

an = a1 + (n - 1 ) d= a2= 8 + (2-1) 2

= 8+ 2(1) = 10

3rd term

an = a1 + (n - 1 ) d= a3= 8 + (3-1) 2

= 8+ 2(2)= 8 + 4=12

4th term

an = a1 + (n - 1 ) d= a4= 8 + (4-1) 2

= 8+ 2(3)= 8+6=14

5th term

an = a1 + (n - 1 ) d= a5= 8 + (5-1) 2

= 8+ 2(4)=8+ 8=16

6th term

an = a1 + (n - 1 ) d= a6= 8 + (6-1) 2

= 8+ 2(5)=8 +10 =18

Step-by-step explanation:

67 miles

9.2

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

The length of arc is 9.1506 cm.

The length of an arc refers to the distance along the curve of a circle between two points on that curve. It is a measure of the portion of the circumference of a circle or any other curved shape.

The Formula for Length of Arc is θ/360 x 2πr.

We have,

Radius = 7.9 cm

Angle = 66.4 degree

Now, length of Arc

= θ/360 x 2πr

= 66.4 / 360 x 2 x 3.14 x 7.9

= 0.18444 x 2 x3.14 x 7.9

= 9.1506 cm

Thus, the length of arc is 9.1506 cm.

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Answer:

13

Step-by-step explanation:

the two numbers that satisfy the requirements for this is 2 and 3, so the answer i put is the sum of the square of the two numbers.

Answer:

let two number be x and y

by question

x+y=5….....(1)

xy=6

x=6/y.........(2)

putting the value of x in equation 1

6/y+y=5

6+y²=5×y

y²-5y+6=0

y²-3x-2x+6=0

(y-3)(y-2)=0

either

y=3

or

y=2

:.required no is 2 and 3

Answer:

8x - 12

Step-by-step explanation:

Let the number be x

multiply by 2

= x * 2 = 2x

Subtract 3 ;

2x-3

Multiply result by 4

=

4(2x -3) = 8x-12

Answer:

i hope my answer help you

Step-by-step explanation:

1st=8+4=12

2nd the answer is to the nearest 7.06

3rd =2+2³.7=2+13=15

4th=(36÷(4+5))+25=36÷9+25=4+25=29

5th=16÷16+8-3=1+8-3=9-3=6

6th=8-2.4=5.6

Answer: 5 gallons per hour.

Step-by-step explanation: To find the unit rate, divide "gallons" by "hours." As we said, we need to find the unit rate. We want a unit rate where 1 is in denominator, so we divide the top and bottom by 6. (Remember, unit means 1.)

[tex]\frac{30/6}{6/6}=\frac{5}{1}[/tex]

Therefore, our answer is 5.

Answer:

base =5   because all angles=60, so an equilateral triangle

height=4.33

Step-by-step explanation:

height^2+1/2(5)^2=5^2

height^2+6.25=25

height^2=18.75

height=4.33

Answer: C.5

Step-by-step explanation:

Answer:

x (11 unit) is the longest side

Step-by-step explanation:

Given:

Sides;

7, x, and x−1

Perimeter = 28

Find:

Longest side

Computation:

Perimeter = sum of all sides

So,

7 + x + (x -1) = 28

2x + 6 = 28

x = 11

So,

x -1 = 11 - 1 = 10 unit

x (11 unit) is the longest side

Answer:

1/2 or 0.5 is the correct answer of this question

Answer:

Adults= 110

Children= 340

Step-by-step explanation:

Given data

let adults be x

and children be y

x+y= 450----------1

2x+y=680---------2

from 1

x= 450-y

put this in 2

2(450-y)=680

900-2y=680

900-680=2y

220=2y

y= 220/2

y= 110

x+110= 450

x= 450-110

x=340

Answer:

the area of the parallelogram is 120 units

Answer:

b) x = 31

Step-by-step explanation:

It's an isosceles triangle, meaning the base angles are congruent as well.  

Answer:

d

Step-by-step explanation: