Find the length and width of a rectangle.
Perimeter = 50
Side A = 3x + 2
Side B = x - 5

Answers

Answer 1

Step-by-step explanation:

Perimeter = 2 * (Side A + Side B)

= 2 * (3x + 2 + x - 5)

= 2 * (4x - 3)

= 8x - 6.

We have 8x - 6 = 50, so 8x = 56 and x = 7.

Length of rectangle = 3(7) + 2 = 23.

Width of rectangle = (7) - 5 = 2.

Answer 2

Answer:

Length of rectangle = 3(7) + 2 = 23.

Width of rectangle = (7) - 5 = 2.

Step-by-step explanation:


Related Questions

Question is in picture ​

Answers

Answer:

[tex] \frac{y - 3}{x - 0} = \frac{3 - 1}{0 - 1} = \frac{2}{ - 1} \\ \frac{y - 3}{x} = - 2 \\ y - 3 = - 2x\\ 2x + y - 3 = 0 \\y = - 2x + 3 \\ \boxed{f(x) = - 2x + 3}[/tex]

B. is the right answer.

hope this helps.

Someone help me find the roots that this function have in common please

Answers

Answer:

B

Step-by-step explanation:

A hiker stands on a small hill and tosses a stone. The stone then follows a path with height h above the ground at time t. The function

h(t) = - 16t2 + 16x + 32 models the stone's path. How long does it take the stone to reach its maximum height?

Answers

Answer:

At time t=0.5, the stone reaches a maximum height of h= 35.

Step-by-step explanation:

A quadratic function or function of the second degree is a polynomial function defined by:

f(x)=a*x² + b*x +c

The maximums and minimums of a function are the largest (maximum) or smallest (minimum) values ​​of a function.

The vertex of the function is a point that is part of the parabola or quadratic function that coincides with the maximum or minimum. When a> 0, the vertex of the parabola is at the bottom of it, being a minimum (that is, the parabola opens "upward"), and when a <0 the vertex is at the top , being a maximum (that is, the parable opens "downward").

h represents the value of its abscissa (value of x).

k represents the value of its ordinate (value of f (x)).

The value of h can be calculated with the formula [tex]h=-\frac{b}{2*a}[/tex]

The value of k must be obtained by substituting the value of h in the function f(x)=a*x² + b*x +c

In this case: a=-16, b=16 and c=32. As a <0 the vertex is at the top , being a maximum. So:

[tex]h=-\frac{16}{2*(-16)}=0.5[/tex]

Substituting the value of h in the function f(x)=-16*x² + 16*x +32 you get:

f(0.5)=-16*0.5² + 16*0.5 +32

f(0.5)= 35

At time t=0.5, the stone reaches a maximum height of h= 35.

I kind of need help. I completely forgot how to do ratios

Answers

Answer:

7:5

Step-by-step explanation:

a:b=4:5

a:c=2:7

c:b=7:5

brainliest please!!!<3

Please help, this is called Writing Equations

Answers

Answer:the answer is C

Step-by-step explanation:

A number, rounded to 1 significant figure, is equal to 300.
Write down the lower and upper bounds of the number.

Answers

Answer:

lower bound is 299.5, upper bound is 300.5

Step-by-step explanation:

6 = m/8 Solve the equation.

Answers

[tex]6=\frac{m}{8}\\x=48[/tex]

what is -1.54166666667 as a fraction​

Answers

9514 1404 393

Answer:

  -37/24

Step-by-step explanation:

We know that 1/6 = 0.166666..., so 1.541666... = 1.54 + 1/600.

Your fraction is ...

  -154/100 -1/600 = -925/600 = -37/24

what is the ratio 5/7 to 2/7

Answers

Answer: What is the ratio of 7 to 2?

Students learn that a ratio is a comparison of two numbers or quantities. For example, if there are 2 shaded parts of a picture and 7 unshaded parts, the ratio of shaded parts to unshaded parts is 2 to 7. Note that the ratio 2 to 7 can also be written as 2:7 or 2/7

What is the ratio of 7 to 5?

20 : 28

5 : 7 = 20 : 28. And 7 is a fourth of 28.

Step-by-step explanation:

Marcus is building a fence around his rectangular backyard. The length of his backyard is
75
3/4

ft, and the width is
81
1/4

ft. If the fence is
3/4

finished, how much fencing is left to complete?

Answers

Answer:

4,923.75ft²

Step-by-step explanation:

The area of the backyard = Length * width \

Area of the backyard = 75 3/4 * 81 1/4

Area of the backyard = 303/4 * 325/4

Area of the backyard = 6,154.6875ft²

If 3/4 of the fence is finished, the area of the finished part is expressed as;

Finished part = 1/5 * 6,154.6875

Finished part = 1,230.9375ft²

Part left unfinished = 6,154.6875-1,230.9375

Part left unfinished  = 4,923.75ft²

Answer:235.5

Step-by-step explanation:

75 3/4= 75.75 (L). 81 1/4= 81.25 (W)

Perimeter= 314 3/4 of 314 is 235.5

A restaurant what is quantitative and flower Child towers the ratio of the number of corn to tell us to the number of flour tortillas is fortified what is the measure of the number of how to tease to the total number of tortillas I know it’s a lot but plz help

Answers

Answer:

i belive it is 2:5

Step-by-step explanation:

this is because 2 and 3 represent both the corn and flour the sum is the total

Suppose (−7, 3) is reflected across the x-axis, and then the y-axis.

What will be the new coordinates?

Answers

the answer is (7,-3) ............

Answer:

(7, –3)

Step-by-step explanation:

did it on edgen

Which choices are equivalent to the fraction below? Check all that apply. 16\20​

Answers

16/20 we can divide it by 2 =8/10 or 4/5

Answer:

To write 16.20 as a fraction you have to write 16.20 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. 16.20 = 16.20/1 = 162/10 And finally we have:

Step-by-step explanation:

hope it work for you.

Please help thank you :)) image above

Answers

The answer is X=2 and y=-3

Answer:

that's a 90% angle or if uu have a ruler try using that to be sure

Quantity of Notebooks Cost
5/$6.00
6/$5.82
7/$6.44
8/$6.80
9/$8.01
The table shows the cost for different quantities of notebooks offered online. Which is the BEST VALUE?
A) 5 notebooks
B) 6 notebooks
C) 7 notebooks
D) 8 notebooks

Answers

i think it’s A, each notebook would be .83 cents

Answer: I think it might be A but then again I am only in 6th grade so, whatever!

Step-by-step explanation:

What are the solutions to 7x^2 + 10x -3 = x^2 + 3x?​

Answers

Answer:

x=(1)/(3),-(3)/(2)

Step-by-step explanation:

Answer:

(- 3/2, 1/3)

Step-by-step explanation:

7x^2+10x-3=x^2+3x

7x^2+10x-3-x^2-3x=0

6x^2+7x-3=0

6x^2+9x-2x-3=0

3x x (2x+3)-(2x+3)=0

(2x+3)x(3x-1)=0

2x+3=0

3x-1=0

x1=- 3/2

x2= 1/3

It costs $3.45 to buy ¾ lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts? Explain or show your reasoning.

Answers

Answer:

It would cost $ 34.5

Step-by-step explanation:

Given,

The cost of 3/4 lb of chopped walnut = $ 3.45,

So, the cost of 1 lb of chopped walnut = 4/3*3.45

=4*1.15

= $ 4.6,

Thus, the cost of 7.5 lbs of walnuts = 7.5 × cost of 1 b of walnut

= 7.5 × 4.6

= $ 34.5

In the figure shown, AB = 8 and AD = 5. What is BC?
BC=type your answer...

Answers

Answer:

AB = 8 and AD = 5

Ad=BC ( given in fig or as its is rectangle and sides of rectangle are equal )

so BC = 5

Help please thank you !

Answers

Answer:

3

Step-by-step explanation:

2/36=x/54

Cross multiply and find x

Answer:

it is 3 cups!

Step-by-step explanation:

36+18=54

2 cups were used for 36, 3 cups were used for 54 :)

What is the origin of algebraic expresions plz

Answers

The origins of algebra can be traced to the ancient Babylonians, who developed a positional number system that greatly aided them in solving their rhetorical algebraic equations.

Find the value of c x 8 when c=9.

Answers

Answer:

72 hope it helps............

Answer:

72

is you answer because 8×9=72

A tennis camp charges $40 per student for a full-day
camp. The camp runs only if at least 5 students sign
up, and it limits the enrollment to 16 campers a day.
The amount of revenue, in dollars, that the tennis camp
collects is a function of the number of students that
enroll.
The equation R(n)=40n defines this function.
What is the input?

Answers

Answer:

40(5)= $200      

Step-by-step explanation:

I think thats right but im not sure

A curtain company has 1,787 yards of fabric to make identical curtains. If each curtain requires 6.5 yards of fabric, how many curtains can be made? a. 273 b. 274 c. 275 d. 276

Answers

Answer:

D. 274

Step-by-step explanation:

divide 1787 by 6.5 yds to get the answer, 274.

PLEASE HELP

Given the roots or x-intercepts -2 and 3, when expanded, the quadratic equation is:

Answers

Answer:

you're correct! the answer is c

Step-by-step explanation:

the factors would be (x+2)(x-3) and when you solve that you get c

Answer:

6

Step-by-step explanation:

-2/100 x x/3

PLEASE ANSWER QUICK!!! The volume of ammonia in a balloon is now 6.1 L after changing the temperature from 52 °C to 79 °C. What was the original volume?

Answers

Answer:

the original volume is 4.0L

Step-by-step explanation:

Step one:

given data

V1= ?

T1=  52 °C

V2= 6.1L

T2=  79° C

Step two

applying the volume temperature relationship, which is

V1/T1= V2/T2

substituting we have

V1/52= 6.1/79

cross multiply we have

52*6.1= V1*79

317.2= 79V1

divide both sides by 79

V1= 317.2/79

V1=4.0L

Fred buys 6 pizzas. Each pizza is cut into 3 than z slices. How many total slices are there?

Answers

Answer:

I think it's 18z slices, please tell me if i'm wrong!

Step-by-step explanation:

6*3 = 18

18*z = 18z

I think it's 18z slices, please tell me if i'm wrong!

Is 3^2 ⋅ 3^−5 equivalent to 1/3^-3

Answers

Answer: No

Step-by-step explanation:

3^2 * 3^-5 = 3^(2+-5) = 3^-3, and 3^-3 is obviously not 1/3^-3.

Hope that helped!

Please help desperate due today will give brainlist...

Answers

9514 1404 393

Answer:

5 forks2 spoons

Step-by-step explanation:

The higher-cost item is forks, so we can let x represent the number of those that are purchased. The total number purchased is 7, so the number of spoons purchased is (7-x).

The total cost is the sum of the costs for each of the items:

  6x +5(7-x) = 40

  x +35 = 40 . . . . . . simplify

  x = 5 . . . . . . . . . . . subtract 35; the number of forks

  7-x = 2 . . . . . . . . . the number of spoons

Daniel bought 5 forks and 2 spoons.

_____

Additional comment

Since $40 is not divisible by $6, we can guess that the number of forks Daniel bought will be a multiple of 5. That is, Daniel bought 0 or 5 forks. If he bought 0 forks, then he must have bought 40/5 = 8 spoons, so that is not a viable choice. The only number of forks that makes sense in this problem is 5 forks, so 2 spoons--numbers that total 7, as required.

Wwhich expression uses the associative property to make it easier to evaluate 8(1/2x1/3)?
A.8/3(2x33)
B.(8x1/2)1/3.
C.8(1/3x1/2)
D.(8x1/3)1/2​

Answers

The correct answer would be B. (8×1/2)1/3.

Step-by-step explanation:

8 * [(1/2) * (1/3)]

= [8 * (1/2)] * (1/3)

= 4 * (1/3)

= 4/3.

The answer is B because it is easier to calculate 8 * (1/2), which is dividing 8 by 2 to get 4.

an equation of a line that passes through the point (15,2) and is perpendicular to the line -10x+8y = 3?

Answers

Answer:

        y = -⁴/₅x + 14

Step-by-step explanation:

Changing to slope-intercept form:

-10x + 8y = 3         {add 10x to both sides}

8y = 10x + 3         {divide both sides by 8}

y = ⁵/₄x + ³/₈

Two lines are perpendicular if the product of their slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

y = ⁵/₄x + ³/₈   ⇒   m₁=⁵/₄

⁵/₄×m₂ = -1        ⇒    m₂ = -⁴/₅

 

The line y=-⁴/₅x+b passes through point (15, 2) so the equation:

2 = -⁴/₅×15 + b must be true

2 = -12 + b

b = 14

Therefore equation in  slope-intercept form:

                                                     y = -⁴/₅x + 14

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