Consider the function f (x) = -2/3x +5.
What is f (5/2)?
Enter your answer, as a simplified fraction, in the box.
f (5/2)

Answer:

7 units

Step-by-step explanation:

Calculate the distance using the absolute value function

| - 9 - (- 2) | = | - 9 + 2 | = | - 7 | = 7

or

| - 2 - (- 9) | = | - 2 + 9 | = | 7 | = 7

Answer:

3) a = 9

4) v = 16

Step-by-step explanation:

Assuming here that the two questions you're talking about are problem 3 and problem 4, here is my work to find each answer.

Problem 3

First, let's distribute the 5 onto both terms in the parentheses.

5(a - 3) = 30

5(a) - 5(3) = 30

5a - 15 = 30

Next, we can add 15 to both sides to isolate a.

5a - 15 = 30

5a = 45

Finally, divide both sides by 5 to find the value of a.

5a = 45

a = 9

Problem 4

First, let's remove 2 from both sides of the equation.

v/2 + 2 = 10

v/2 = 8

Then, we can multiply both sides by 2 to find the value of v.

v/2 = 8

v = 16

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Number 1}[/tex]

[tex]\text{QUESTION: 5(a - 3) = 30}\\\\\large\textsf{DISTRIBUTE 5 WITHIN the PARENTHESES}\\\\\rm{5(a) + 5(-3) = 30}\\\\\rm{5a - 15 = 30}\\\\\large\textsf{ADD 15 to BOTH SIDES}\\\\\rm{5a - 15 + 15 = 30 + 15}\\\\\large\textsf{CANCEL out: -15 + 15 because it gives you 0}\\\large\textsf{KEEP: 30 + 15 because it helps solve for the a-value}\\\\\text{NEW EQUATION: 5a = 30 + 15}\\\\\large\textsf{SIMPLIFY IT!}\\\\\rm{5a = 45}\\\\\large\textsf{DIVIDE 5 to BOTH SIDES}\\\\\rm{\dfrac{5a}{5} = \dfrac{45}{5}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{5}}\large\textsf{ because it gives you 1}\\\large\textsf{KEEP: }\mathsf{\dfrac{45}{5}}\large\textsf{ because it helps solve for the a-value}\\\\\text{YOUR NEW EQUATION: }\rm{a = \dfrac{45}{5}}\\\\\large\textsf{SIMPLIFY IT!}\\\\\large\text{a = 9}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{a = 9}}}\huge\checkmark[/tex]

[tex]\huge\text{NUMBER 2}[/tex]

[tex]\text{QUESTION: }\rm{\dfrac{v}{2} + 2 = 10}\\\\\rm{\rightarrow \dfrac{1}{2}v + 2 = 10}\\\\\large\textsf{SUBTRACT 2 to BOTH SIDES}\\\\\rm{\dfrac{1}{2}v + 2 - 2 = 10 - 2}\\\\\large\textsf{CANCEL out: 2 - 2 because it gives you 0}\\\large\textsf{KEEP: 10 - 2 because it helps solve for the v-value.}\\\\\text{YOUR NEW EQUATION: }\rm{\dfrac{1}{2}v = 10 - 2}\\\\\text{SIMPLIFY IT!}\\\\\rm{\dfrac{1}{2}v = 8}\\\\\large\textsf{MULTIPLY 2 to BOTH SIDES}\\\\\rm{2\times \dfrac{1}{2}v = 2\times8}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because it gives you 1}\\\large\textsf{KEEP: }\mathsf{2\times8}\large\textsf{ because it helps solve for the v-value}\\\\\text{YOUR NEW EQUATION: }\rm{v = 2\times8}\\\\\large\textsf{SIMPLIFY IT!}\\\\\rm{v = 16}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{v = 16}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

21 day

Step-by-step explanation:

EASY MArk as brainliest

Answer:

January 1 is new years day! can I get branliest:>

Answer:

x=7

Step-by-step explanation:

by pythagoras, 25^2=24^2+x^2

solve for x

Answer:

  A.  x = 7, y = 3

Step-by-step explanation:

The triangles are congruent by HL if the hypotenuses are congruent, and if the marked legs are congruent.

  3x -1 = 6y +2 . . . . hypotenuses are congruent

  2x = 5y -1 . . . . . . .legs are congruent

Subtracting 2 times the first equation from 3 times the second gives ...

  3(2x) -2(3x -1) = 3(5y -1) -2(6y +2)

  6x -6x +2 = 15y -3 -12y -4

  9 = 3y . . . . . . . . . . . add 7 and simplify

  y = 3 . . . . . . . . divide by 3

This value of y matches only answer choice A.

Step-by-step explanation:

You start by asking yourself or as I call it crossmultiply

if 20 min the bucket is 1/8 full what about 8/8 or a whole

20×8/8×1/8

=160 min or 2.6 hrs

Answer:

[tex]2\frac{1}{2} hours[/tex]

Step-by-step explanation:

What is the rate at which the water is leaking per hour?

rate: [tex]\frac{1}{5} buckets = \frac{1}{5}/ \frac{1}{2} buckets/ hr\\ ----\\\frac{1}{2} hour = \frac{2}{5} buckets/ hr[/tex]

Write an equation that represents the relationship between the number of buckets filled, , in hours.

[tex]y=\frac{2}{5}x[/tex]

What is the longest that Jeremy can be away from the house before the bucket will overflow?

[tex]\frac{5}{2}[/tex] or  [tex]2\frac{1}{2} hours[/tex]

Answer:

  A -- only

Step-by-step explanation:

A segment bisector intersects a segment at its midpoint.

S is the midpoint of segment PQ, so ST is a segment bisector. (It intersects PQ at its midpoint, S.)

No other midpoints are shown in this drawing.

__

A perpendicular bisector is perpendicular to the segment it bisects. None are shown in this drawing.

__

An angle bisector divides an angle into two congruent parts. None are shown in this drawing.

__

The vertex of a right angle is often marked with a small square. Only point P is the vertex of a right angle in this drawing. (We cannot assume OPQR is a square.)

Given that:

Length of the rectangle = (5y+4) cm

Breadth of the rectangle = (2y+36) cm

We know that formula for

Perimeter of a rectangle = 2(l+b) units

⇛P = 2(5y+4+2y+36) cm

⇛ P = 2(7y+40) cm

⇛ P = 14y+80 cm

According to the given problem

The perimeter = 220 cm

⇛ 14y+80 = 220

⇛14y = 220-80

⇛14y = 140

⇛y = 140/14

⇛y = 10 cm

Therefore, the value of y = 10 cm Ans.

also read similar questions: A rectangular prism has a volume of 220 cubic cm and a height of 5 cm. Its base might have sides that measure:

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If the ratio of the measures of the sides of a triangle is 5:6:9 and its perimeter is 220. what are the measures of the sides

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Answer:

I FOUND IT ACTUALY    22.857 lacs   $2,285,714

Step-by-step explanation:

do the formula

is/of = %/100

[tex]\frac{17.5}{100} = \frac{4}{x}[/tex]

100*4=400

400/17.5=22.857

Answer:

Total worth of assets of the man = 22.86 lacs

Step-by-step explanation:

Let the man's assets = 100%

Given to the wife = 50%, so leftover 50%

From it given to 4 sons = 15%, so leftover 35%

From it given equally to 2 daughters, so each daughter gets 35% / 2 = 17.5%

17.5% = 4 lacs

100% = 4 x (100/17.5) = 22.8571

Round off to 2nd decimal place = 22.86 lacs

Answer:

272×620=168,640

Step-by-step explanation:

If koala airlines carries 272 in average then the answer is 168,640

Answer:

(x-7)^2 + (y-9)^2 = 25

Step-by-step explanation:

Answer:

x=2, perimeter=14

Step-by-step explanation:

Finding x

(x+1)(x+2)

x^2+2x+x+2=12

x^2+3x-10

x^2-2x+5x-10

x(x-2)5(x-2)

(x+5)(x-2)

x=-5

x=2

Length or Width should be a positve number.

x=2

Perimeter:

3+3+4+4=14

Answer:

(3x+1)(4x-1)

Step-by-step explanation:

you can reorder the terms to make it less confusing to 12x^2+x-1

write x as a different 12x^2+4x-3x-1

factor out 4x       4x(3x+1)-3x-1

factor out the negative sign 4x(3x+1)-(3x+1)

factor out 3x+1

(3x+1)(4x-1)

Answer:

Charyn's coffee is the dearest.

Difference per pound is $0.96.

Step-by-step explanation:

Price per pound = total price / pounds bought

For Danielle this

is  35 / 6 1/3

= 35 / 19/3

= 35 * 3 / 19

= $5.526.

For Charyn  this

is  60 / 9 1/4

= 60 / 37/4

= 60 * 4 / 37

= $6.486.

Difference = $0.96.

Answer:

Give the person above me brainliest

Step-by-step explanation:

Answer:

x=k×2y

substitute x for 6 and y for 20

6=2(20)×k

6=40k

Divide both sides by the coefficient of k

6/40=40k/40

3/20=k

To find y, when x=9

9=3/20×2y

9=6y/20

cross multiply

9×20=6y×1

180=6y

Divide both sides by the coefficient

y=30

Answer:

B (0,0)

Step-by-step explanation:

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept y=mx+b. Using the slope-intercept form, the y-intercept is 0. b=0

The y-intercept of y=4x is (0, 0)

Option B is correct

The slope-intercept of a line is given as:

y = mx + c

where m represents the slope

c represents the y-intercept

The given equation is y = 4x

To find the y-intercept, substitute x = 0 into the equation and solve for y

y = 4(0)

y = 0

Therefore the y-intercept of y=4x is (0, 0)

Learn more on y-intercept of a line here: https://brainly.com/question/10700419

Answer:

-26

Step-by-step explanation:

well add the negative numbers first so you get

-17-18=(-35)

then you add 9 so its (-35)+9=26

Answer:

Step-by-step explanation:

-17 + 9 +(-18) = -8 -18 = -26 final answer

Answer:

6x +12 < 10

Step-by-step explanation:

Answer:

Cos (150) = -√3/2

Step-by-step explanation:

You can find this using a calculator. You will get −0.866025403 which is equal to -√3/2

Answer:

The total paint cost is £380. The total tiles cost is £1800. The total cost is £2180.

Step-by-step explanation:

To know the cost, you need to calculate the area of the community hall.

So together, their area is 1200m2.

Together the two walls have an area of 90m2

Together the two big walls have an area of 240m2

Painting:

They are going to paint the walls and the ceiling and each 10L tin covers 25m2 so:

Area of the walls and ceiling = 600m2 + 90m2 + 240m2 = 930m2

930m2 ÷ 25m2 = 37.5 tins. Since you can't have half a tin, they will need 38 10L tins.

38 x £10 = £380

Floor:

1m2 floor tiles costs £3 so 600m2 x £3 = £1800

Total:

£1800 + £380 = £2180

Step-by-step explanation:

2(3x + 4) - 4(x + 2) = 6

6x + 8 - 4x - 8 = 6

2x = 6

x = 6/2 = 3

Answer:

im sorry but r u even trying..... bc i just answer one of ur questions

Step-by-step explanation:

Answer:

a = 5/2

b = 1

I hope it correct

Step-by-step explanation:

Thank you

Answer:

answer is 5ab

Step-by-step explanation:

3(4a-5b)+2(2a-3b)

3(ab)+2(ab)

3ab +2ab

5ab

Answer:

wheres the figure

aaah

good morning

Answer: 62

Step-by-step explanation:

100 - x = 38

x =62

Answer:

2/7

Step-by-step explanation:

gradient y²-y¹/x²-x¹=4-2/4-(-3)

=2/7

{Taking (x¹,y,¹)=(-3,2)

and(x²-y²)=(4,4)