Five years ago, a father was 3 times as old
as his son, now their combined ages amount
to 110 years. How old are they?

Answer:

y = 16

Step-by-step explanation:

11y = 2(24 + 4y)

11y = 48 + 8y

3y = 48

   y = 16

’creating a system linear equation, the number of possible gallons of gasoline that can be purchased is 60 gallons

Given the Parameters :

Hence, we have :

1170 + 2.80g = 1338

2.80g = 1338 - 1170

2.80g = 168

g = 168/2.80

g = 60

Therefore, only 60 gallons of gasoline can be purchased.

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[tex]9(4x-6) = 2(-3-2x)\\\\\implies 36x - 54 = -6-4x \\\\\implies 36x +4x = 54 -6 \\\\\implies 40x = 48\\\\\implies x = \dfrac{48}{40} = \dfrac{6}5[/tex]

Answer:  16 1/4 minutes

Step-by-step explanation:

Let A be the mowing rate for the first person, and B the rate for the second. X will be the time spent mowing.

We are told that A = 30 min/lawn.  B = 45 min/lawn.  These are conversion factors, so we can invert them to:

A =  1 lawn/30 min.  B = 1 lawn/45 min

If both work together, the amount of lawn that is mowed working togehterwould be the time, X (in minutes), spent times their individual rates:

X*(A + B) = Lawn Mowed

We want to know the time, X, it would take to mow the same 1 lawn together.  [Lawn Mowed = 1].  Use the equation:

X*(A + B) = Lawn Mowed

X*((1 lawn/30 min) + (1 lawn/45 min)) = 1

X/(30 min) + X/(45 min) = 1

X/30 + X/45= 1

X + X(30/35) = 30  {Multiply both sides by 30]

(1 + 30/35)X = 30

(65/35)X = 30

X = 30*(35/65)

X = 30/(7/13)

X = 30*(7/13)

X = 210/13

X =  16 1/4 minutes

Answer:

½ x 6 x 3=9 which is 9+9+9+9+9

Step-by-step explanation:

3 in to 5 ft

so, one basic unit in the drawing is in fact 3 inches.

how many base units fit into the numbers ? these factors need then to be multiplied with the base units of 5 ft for reality.

6 inches high

6 / 3 = 2

so, the elephant is 2 units high, which means in reality 2×5 = 10 ft high.

10.8 inches long

10.8 / 3 = 3.6

so, the elephant is 3.6 units long, which means in reality 3.6×5 = 18 ft long.

Answer:

  2820 no votes

Step-by-step explanation:

The fraction of votes that were 'no' is ...

  no/total = (5)/(8+5) = 5/13

The number of votes that were 'no' is ...

  (5/13)(7332) = 2820 . . . no votes

Answer:

What is the question?

Step-by-step explanation:

Answer:

[tex]-2x^{2} -7x-6[/tex]

Step-by-step explanation:

(2x + 3) (-x - 2)

distribute first term, to the second term:

2x(-x) + 2x(-2) + 3(-x) + 3(-2)

multiply:

[tex](-2x^{2})[/tex] + (-4x) + (-3x) + (-6)

[tex]-2x^{2} -4x-3x-6[/tex]

combine the like terms:

[tex]-2x^{2}[/tex] - 4x - 3x - 6

             -7x

[tex]-2x^{2}[/tex] - 7x - 6

final answer :

[tex]-2x^{2}[/tex] - 7x - 6

hope this helped !!

mark me brainliest :D

Answer:

17

Step-by-step explanation:

It's a right triangle so you use the Pythagorean Theorem

[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]

a and b are the sides and c is always the hypoteneuse, which is the longest side and opposite from the right angle

so [tex]8^{2}[/tex]+[tex]15^{2}[/tex]=[tex]c^{2}[/tex]

64+225=[tex]c{2}[/tex]

289=[tex]c^{2}[/tex]  take the square root of both sides to get rid of the squared

[tex]\sqrt{289}[/tex]=c

c=17

Answer:

I KNOW FOR SURE

Step-by-step explanation:

if that's all the question is then I definitely know the answer ;)

if you forgot to write the rest then hmu haha

Answer:

2/3

Step-by-step explanation:

rise over run is 2 over 3, and it is positive because the y increases as the x increases!

Where is the question ???

Step-by-step explanation:

The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:

y=mx+

lb

Where

m

is the slope and

b

is the y-intercept value.

y

=

−

4

x

+

1

Therefore, the slope of the line represented by the equation in the problem is:

m

=

−

4

Let's call the slope of a perpendicular line:

m

p

The slope of a perpendicular line is:

m

p

=

−

1

m

Substituting gives:

mp=

[tex] \dfrac{−1}{−4} = \dfrac{1}{4} [/tex]

Answer:

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (4, - 18) ← 2 ordered pairs from the table

m = [tex]\frac{-18-0}{4-(-5)}[/tex] = [tex]\frac{-18}{4+5}[/tex] = [tex]\frac{-18}{9}[/tex] = - 2

Answer:

I'm amusing its the answer is C

Relation given:-

Inverse

#2

Let it be y

[tex]\\ \tt\hookrightarrow y=2x-3[/tex]

[tex]\\ \tt\hookrightarrow 2x=y+3[/tex]

[tex]\\ \tt\hookrightarrow x=y+3/2[/tex]

Write in terms of x

[tex]\\ \tt\hookrightarrow f^{-1}(x)=\dfrac{x+3}{2}[/tex]

Answer:

yint -= (0,100) slope = -5 2/3

Step-by-step explanation:

yint is (0,100) because thats where it hits the y axis

slope equation is (y1-y2)/(x1-x2), just pick out any two points to do this with

(83-66)/(3-6)

17/-3

-5 2/3

Answer:

slope -17/3 y -intercept  100

Step-by-step explanation:

Answer:

I'm past that level of math. Here's the answer:Letter B

Step-by-step explanation:

Answer:

1.62 per pen

Step-by-step explanation:

Take the total cost and divide by the number of pens

9.69/6

1.615

Round to the nearest cent

1.62 per pen

Answer:

x+27

Step-by-step explanation:

Let's simplify step-by-step.

4(x+3)+3(5−x)

Distribute:

=(4)(x)+(4)(3)+(3)(5)+(3)(−x)

=4x+12+15+−3x

Combine Like Terms:

=4x+12+15+−3x

=(4x+−3x)+(12+15)

=x+27

Hope you find this Useful!

Answer:

x+27

Step-by-step explanation:

Distribute

4(+3)+3(5−)

4+12+3(5−)

Rearrange terms

4x+12+3(5−x)

4+12+3(−+5)

Distribute

4x+12+3(−x+5)

4+12−3+15

Add the numbers

4x+12−3x+15

4+27−3

Combine like terms

4x+27−3x

1+27

Multiply by 1

1x+27

+27

Answer:

432

Step-by-step explanation:

Answer:

432

Step-by-step explanation:

[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]

Now, at first, we solve the numerator:

[tex](14-3^{2}+1 )^{2}[/tex]

=[tex](14-9+1)^{2}[/tex]

=[tex](15-9)^{2}[/tex]

= [tex]6^{2}[/tex]

= 36

Now let's solve the denominator:

1 ÷ 3 ×  [tex]\frac{1}{4}[/tex]

=[tex]\frac{1}{3} . \frac{1}{4}[/tex]

=[tex]\frac{1}{12}[/tex]

Hence,

[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]

=  [tex]\frac{36}{1/12}[/tex]

= 36 x 12

= 432

Answer:

90

Step-by-step explanation:

Answer:

1. = 3xy + x - 2y - 4

2. = d^2(2c^3-8c^2d+3d^2)

Step-by-step explanation:

= 9x^2y^2 + 3x^2y - 6xy^2 - 12xy/3xy

First factor the top equation ….

= 3xy(3xy + x - 2y - 4)/3xy

If the top and the bottom both carry 3xy, you can cancel out both of them leaving you with ….

= 3xy + x - 2y - 4

= -16c^6d^6 + 64c^5d^7 - 24c^3d^8/-8c^3d^4

First factor the top equation ....

= -8c^3d^6(2c^3-8c^2d+3d^2)/-8c^3d^4

If the top and the bottom both carry -8c^3 you can cancel out both of them leaving you with ….

= d^6(2c^3-8c^2d+3d^2)/d^4

Apply the exponent rule with d^6 ....

= d^4d^2(2c^3-8c^2d+3d^2)/d^4

cancel out d^4 ....

= d^2(2c^3-8c^2d+3d^2)

Answer:

A and D

Step-by-step explanation:

A is 2 times 6 to the 2nd which is just 24 and D is 16 times 9 which is 144 both are prime factors of 144.

Answer:

x≥21

Step-by-step explanation:

1) Multiply both sides by the denominator (3)

x+21≥42

2)Move the constant to the right (21)

x≥42-21

3) Calculate it

x≥21

Answer:

x=1.69 or x=-0.44

Step-by-step explanation:

1) multiply both sides by 4x-5 to give 3=x(4x-5)

expand this ------>3=4x^2 - 5x

2) bring the 3 on the other side by subtracting 3

4x^2 - 5x - 3 = 0

3)use quadratic formula where a is 4, b is -5 and c is -3

[tex] \frac{ - b + or \: - \sqrt{b {}^{2} - 4ac} }{2a} [/tex]

[tex] \frac{ - ( - 5) + \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = \: 1.69[/tex]

[tex] \frac{ - ( - 5) - \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = - 0.44[/tex]

The value of x in the equation 3 / 4x - 5 = x is -20.

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

3 / 4x - 5 = x

Solve the above equation as shown below,

x = 3 / 4x - 5

x - 3 / 4 x = -5   (Transform the variable on the left side and constant on the right side)

4x - 3x / 4 = -5

x / 4 = -5

x = 4 × (-5)

x = -20

Thus, the value of x is -20.

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Answer:

-8-8-6-2= -24, -24+4+12+22=14

Answer:

3^2 * 5 * 13

Step-by-step explanation:

585

= 5 * 117

= 5 * 3 * 39

= 5 * 3 * 3 * 13

= 3^2 * 5 * 13

Answer:

3×3×5×13 that's the answer