Adam is three years older than Joe. After three years, Adam’s age will be four years less than two times Joe's age. Considering Adam's present age as x years and Joe’s present age as y years, write a pair of linear equations to model the above situation.

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Hi my lil bunny!

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Let's solve your equation step-by-step.

[tex]-8 + 4m = 2[/tex]

Step 1: Simplify both sides of the equation.

[tex]4m - 8 = 2[/tex]

Step 2: Add 8 to both sides.

[tex]4m - 8 + 8 = 2 + 8 \\4m = 10[/tex]

Step 3: Divide both sides by 4.

[tex]\frac{4m}{4} = \frac{10}{4} \\m = \frac{5}{2}[/tex]

Answer : [tex]\boxed {m = \frac{5}{2} }[/tex]

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Have a great day/night!

❀*May*❀

Answer:

29.53 ≤ x + 5 ≤ 56.15

Step-by-step explanation:

A $5 in-store coupon for every person who buys a flea control product which ranges between $29.53 to $56.15. This means that if you bought a flea control product you would be given an additional $5 that means that for buying a flea product, $5 is given to you. If you have $x, and you bought a flea product you would have x + 5. The inequality that represents this situation is given as:

29.53 ≤ x + 5 ≤ 56.15

Answer:

A=45cm^2

Step-by-step explanation:

A= h/2(b1 + b2) for trapezoid

A=(5/2(6+12))cm^2

A=(2.5(18))cm^2

A=45cm^2

Answer:

The table gives the cost for the number of three-pound bags of clementines. you need to change the number of bags to pounds to be able to get the data for the clementines in units of pounds and cost.

Step-by-step explanation:

each of the bags are three pounds each so 1 bag times 3, 2bags times 3, and then 3bags times 3, hope this answers your question.

The table gives the cost for the number of three pounds bag of clemintines we need to change the number of bags to pounds to get the data or clemintines in units of pounds and cost.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that Clementines are sold in three-pound bags, and navel oranges are sold by the pound

The table represents the cost of three-pound bags of clementines.

Number of Bags           Cost

      1                             $5.00

     2                              $10.00

      3                             $15.00

The equation c = $1.49p represents the cost of the navel oranges, where c is the cost and p is the number of pounds.

The table gives the cost for the number of three pounds bag of clemintines we need to change the number of bags to pounds to get the data or clemintines in units of pounds and cost.

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Answer:

a(1):30%

(2):2135.34

(3):15000

Step-by-step explanation:

a(1):the total is 18750 and 5625 was not taxed therefore 5625 of 18750 was not taxed so get the amount expressed as a percentage by multiplying by 100

{5625/18750}×100

(2):so get the tax from the taxable amount and the taxable amount is 13125 and the tax is 22% of it so (22/100)×13125=2887.5

she takes home the amount remaining after taxation so 18750-2887.5(tax)(don't subtract 5625)=15862.5

she receives the above amount in 52 equal amounts so divide 15862.5/52 to get one amount =305.048 (meaning that per week she receives one of the 52 equal amounts I guess)

(3):so the original salary before moving to A was 100% but after moving it increases by 25 so the salary is 125% =18750(don't deduct tax I guess) so it will be (100/125)×18750

Answer:

I believe the answer is 39.368, if we round that it makes it, 39.4

Step-by-step explanation:

Answer:

Sorry

Correct

Close

Step-by-step explanation:

Answer:

Ivy's definition will go with third comment, Ethan's definition will go with the first comment, hence, Ebuka's definition will go with the second comment.

Step-by-step explanation:

Answer:

Volume = 5×8×10.5 = 420 meters3

Step-by-step explanation:

5×8×10.5

Answer:

Step-by-step explanation:

h(x)=12/x

h(a)= 12/a  ( a is a variable number just replace x with a)

Answer:

1/25 or 0.04

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

5 to the 4th power (5 × 5 × 5 × 5) is 625.

5 to the 6th power (5 × 5 × 5 × 5 × 5 × 5) is 15625.

625/15625 = 0.04.

That's your answer!

Hope that helps and maybe earns a brainliest!

Have a great day! :)

Answer:

a

Step-by-step explanation:

1:cancel out any answers with equal to since the line is dotted

2:pick any two points of your choice and work out the gradient

3:use the gradient a point on the line and an anonymous point (x,y) to get equation of a line

4:then choose a point (0,0) and substitute x with 0 in the equation to get y (in this case it's -1) which is less than 0 hope it helps

The inequality that is graphed on the coordinate plane is y ≤ [tex]x^{2}[/tex].

The graph of this inequality is a parabola that is facing downwards. The parabola opens downwards because the inequality symbol is less than or equal to (≤). The vertex of the parabola is at the point (0, 0).

The parabola intersects the x-axis at the points (-1, 1) and (1, 1). This means that the values of x that satisfy the inequality are all the values that are less than or equal to 1.

The parabola does not touch the x-axis at any other points, so the values of x that do not satisfy the inequality are all the values that are greater than 1.

Here is a graph of the inequality y ≤ [tex]x^{2}[/tex]:

parabola that is facing downwards and intersects the x-axis at (-1, 1) and (1, 1)Opens in a new window

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parabola that is facing downwards and intersects the x-axis at (-1, 1) and (1, 1)

The other inequalities that are shown in the answer choices are not graphed correctly. The inequality y ≥ [tex]x^{2}[/tex] is graphed as a parabola that is facing upwards. The inequality y = [tex]x^{2}[/tex] is graphed as a line that is not a parabola. The inequality y > [tex]x^{2}[/tex] is not graphed at all.

Therefore, the only inequality that is graphed correctly is y ≤ [tex]x^{2}[/tex].

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Answer:

B. -2

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

-2

1

= -2

θ =  

arctan( ΔY ) + 360°

ΔX

= 296.56505117708°

ΔX = 3 – 0 = 3

ΔY = -2 – 4 = -6

Distance (d) = √ΔX2 + ΔY2 = √45 = 6.7082039324994

Answer from Gauth math

Answer:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Answer:

A

Step-by-step explanation:

The unit price will be the slope of the line which is 8, so the unit price is $8/1 lb

Answer:

x = 11

Step-by-step explanation:

Raising both sides to the fifth power, we get:

27(x - 2) = 3⁵

x - 2 = 3⁵ / 27

x - 2 = 3⁵ / 3³

x - 2 = 3⁽⁵⁻³⁾ = 3² = 9

x = 11

Answer:

The answer is C.

Step-by-step explanation:

First, you want to isolate the variable you are look for, 'l'. First subtract [pi]L from both sides. Then subtract S from both sides.

-[pi]L+S=[pi]r(superscript)2 ->

-[pi]L=[pi]r(superscript)2-S

Now, since you have your variable 'l', you want to remove the [pi] away from your variable. To do this, multiply by negative 1 divided by pi, or -1/[pi].

L=S-r(superscript)2.

Therefore, the answer is C.

Answer:

C

Step-by-step explanation:

[tex]s = \pi .l \: + \pi. {r}^{2} [/tex]

Make the term including 'l' stand alone.

[tex]s - \pi. {r }^{2} = \pi.l[/tex]

Now make L stand alone by dividing through by pi.

[tex] \frac{s - \pi. {r}^{2} }{\pi} = l[/tex]

This is the same as

[tex] \frac{s}{\pi} - {r}^{2} = l[/tex]

Answer:

Step-by-step explanation:

Hello, we know that the z complex solutions of

[tex]z^4=1[/tex]

are

1, i, -1, -i

so, the solutions of [tex]z^4=16=2^4[/tex] are

2, 2i, -2, -2i

Thank you

Answer:

The answer is

Step-by-step explanation:

To solve the fraction reduce the fraction with d

That's we have

Next simplify the expression using the rules of indices to simplify the letters in the fraction

For c

Since they are dividing we subtract the exponents

We have

For e

Substituting them into the expression we have

Reduce the fraction by 3

We have the final answer as

Hope this helps you

Answer:

y = 4/3x - 3

Step-by-step explanation:

slope = (-2 - 4)/(7 - -1) = -6/8 = -3/4

perpendicular slope  = 4/3

midpoint (-1 + 7)/2, (4 + -2)/2

(3, 1)

y = mx + b

1 = 4/3(3) + b

1 = 4 + b

-3 = b

y = 4/3x - 3

Area of prism = base area × altitude

1. (2x²-10)(x+4)

= 3x³-2x - 40

2. Base area = 2πr

Volume = (2πr)(r²+ 5r)

=2πr³ + 10πr²

3. Base area=½(6)(x-4)(x+3)=3(x-4)(x+3)

Volume= 3(x-4)(x+3)(⅓)

=(x-4)(x+3)= x² - x -12

4. Base circumference= 10π

Base radius = 10π/(2π) = 5

Base area = πr² = 25π

Volume = 25π(3x²-2x)

=125πx²-50πx

5. Volume = 3π√50

=15π√2

6. Base diameter = 16

Base radius = 16/2 = 8

Base area = 2πr = 16π

Volume = 16π(23a²)

=368πa²

Answer:

6.1 seconds

Step-by-step explanation:

set the equation equal to zero

0 = -16t² + 97.6t

factor out t

t(-16t + 97.6) = 0

-16t =- 97.6

t =  6.1

The NFL kicker's kicks remain in the air on average for approximately 3.05 seconds.

To find the average hang time of the NFL kicker's kicks, we need to determine the time at which the height (h) reaches its maximum value. The maximum height corresponds to the peak hang time.

The equation that models the hang time is given as: h = -16t^2 + 97.6t

This is a quadratic equation in the form: h = at^2 + bt + c

In our case, a = -16, b = 97.6, and c = 0 (since there is no constant term).

The time (t) at which the height (h) reaches its maximum value can be found using the formula: t = -b / 2a

Let's calculate the time (t):

t = -b / 2a

t = -97.6 / (2 * -16)

t = -97.6 / -32

t = 3.05 seconds (rounded to two decimal places)

So, the NFL kicker's kicks remain in the air on average for approximately 3.05 seconds.

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Answer:

a^2 + b^2 - c^2 + 2ab

Step-by-step explanation:

(a + b - c)(a + b + c)

1. expand

(a^2 + ab + ac + ba + b^2 + bc - ca - cb - c^2)

2. rearrange,

(a^2 + b^2 - c^2 + ab + ba + ac - ca + bc - bc)

3. add and subtract

(a^2 + b^2 - c^2 + 2ab)

Answer:

A.

Step-by-step explanation:

'The difference' means minus or subtraction. 'plus' and 'increased' are both for addition.

Brainliest please!

Answer:

PQ = 17

Step-by-step explanation:

Tangents drawn to a circle from an external point are congruent, thus

TS = TU = 6

VU = VO = 20

PO = PQ = 37 - VO = 37 - 20 = 17

That is PQ = 17

Answer:

x-intercept(s):  

( − 4 , 0 ) , ( 6 , 0 )

y-intercept(s):  

( 0 , − 24 )

Step-by-step explanation:

The graph of the function f ( x ) = ( x + 4 ) ( x - 6 ) is plotted

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the parabolic equation be represented as A

Now , the value of A is

f ( x ) = ( x + 4 ) ( x - 6 )   be equation (1)

On simplifying , we get

The graph of the function is plotted and it is increasing only on the interval -4< x < 6

And , the vertex of the function is at P ( 1 , -25 )

Therefore , the function is f ( x ) = ( x + 4 ) ( x - 6 )

Hence , the function is f ( x ) = ( x + 4 ) ( x - 6 )

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Answer:

15: 1 3 5 15

20: 1 2 4 5 10 20

Step-by-step explanation:

This assumes you are only factoring the coefficients of the expression.  Using this assumption, we simply create a list of factors of the coefficients.

15 -> 1 * 15, 3 * 5 --> 1 3 5 15

20 -> 1 * 20, 2 * 10, 4 * 5 --> 1 2 4 5 10 20

If you don't assume factoring of just the coefficients, then 20x factors

20x:  1 2 4 5 10 20 x

Cheers.

Answer:

b

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Here's the rundown of values:

12=9

9=6

6=3

3rd value=3

*The values are created through going through the numerical process.

Step-by-step explanation:

Angle:2x+30+3x=180

Angle:2x+b+2b=180( Being in straight line)

Angle:30+3x+a=180

Answer:

The volume of the pyramid is 867 inch^3

Step-by-step explanation:

Here in this question, we are interested in calculating the volume of a square based pyramid.

Mathematically, we can use the formula below to calculate the volume V of a square based pyramid.

V = a^2h/3

where a represents the length of the side of the square and h is the height of the pyramid

From the question, the length of the side of the square is 17 in while the height is 9 in

Plugging these values, we have ;

V = (17^2 * 9)/3 = 17^2 * 3 = 867 cubic inch

Answer:

17 quarters

Step-by-step explanation:

Let q = quarters

n = nickels

.25q + .05n = 5.90

we have 16 more nickels than quarters so add 16 quarters to make them equal

n = q+16

Substitute

.25q + .05( q+16) = 5.90

Distribute

.25q+.5q+.80=5.90

Combine like terms

.30q +.8 = 5.90

Subtract .8 from each side

.30q = 5.10

Divide each side by .3

.3q/.3 = 5.1/.3

q = 17

Answer:

Gisel have:

17

quarters

Step-by-step explanation:

1 nickel = 5 cents

1 quarter = 25 cents

1 dollar = 100 cents

5,90 dollars = 5,9*100 = 590 cents

then:

n = t + 16

5n + 25t = 590

n = quantity of nickels

t = quantity of quarters

5(t+16) + 25t = 590

5*t + 5*16 + 25t = 590

5t + 80 + 25t = 590

30 t = 590 - 80

30 t = 510

t = 510 / 30

t = 17

n = t + 16

n = 17 + 16

n = 33

Check:

5n + 25t = 590

5*33 + 25*17 = 590

165 + 425 = 590

Answer:

300 raisins

Step-by-step explanation:

sum the parts of the ratio, 3 + 27 = 30 parts

Divide the total by 30 for the value of one part of the ratio.

3000 ÷ 30 = 100 ← value of 1 part of the ratio , then

3 parts = 3 × 100 = 300 ← number of raisins in a box