the perimeter of a rectangle is 15x+17y. if the length is 7/2x+7y, then find the width of the rectangle
A.) 4x+3/2y
B.) 8x+3y
C.) 8x+10y
D.) 4x+3y

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Length : [tex]\frac{7x}{2} + 7y[/tex]

Perimeter: [tex]15x + 17y[/tex]

Perimeter = 2(Length + Width)

15x + 17y = 2( [tex]\frac{7x}{2} + 7y[/tex] + Width)

15x + 17y = 7x + 14y + 2(Width)

15x + 17y -7x -14y = 2(Width)

8x + 3y = 2(Width)

Width = [tex]\frac{8x + 3y}{2}[/tex]

Width = 4x + 3y/2


Related Questions

Please show your work​

Answers

Answer:

9(3+c+4)=

27+9c+36=

63+9c=

Step-by-step explanation:

9(3+c+4)=

27+9c+36=

63+9c=

AccelGR7_Math_T6_FSQ_OL_FY21
Look at this system of linear equations.
S2x + 3y =-4
ly = 2x +4
What is the solution to the system of linear equations?
X = -2, y = 0
x= – 1, y = 2
x = 4, y = - 4
x = 2, y = 8

Answers

Answer:

x=-2 and y =0

Step-by-step explanation:

2x + 3y=-4

y=2x + 4

2x -y = -4

4y= 0

y = 0

2x -0=-4

2x =-4

x=-2

Question 3 Matt has yard of fishing line. He uses of the line to make fishing knots. How many yards of fishing line does Matt use to make fishing knots? Show your work Solution

Answers

Answer:

aSDFGHJLLMNNBBBBVCDDG

Step-by-step explanation:

how to rewrite equation 5x+7y-35=0 in slope intercept form?

Answers

Y equals 5 over 7x minus 5

I need help please.

Answers

Answer:

Answer is C hope this helps

Step-by-step explanation:

In a certain tropical forest, litter (mainly dead vegetation such as leaves and vines) forms on the ground at the rate of 10 grams per square centimeter per year. At the same time, however, the litter is decomposing at the rate of 80% per year. Let f(t) be the amount of litter (in grams per square centimeter) present at time t. Find a differential equation satisfied by f(t).

Answers

Answer:

df(t)/dt = 10 - 0.8f(t)

Step-by-step explanation:

The net rate of change, df(t)/dt = rate in - rate out

The rate in = rate litter forms on ground = 10 g/cm²/yr

Since f(t) is the amount of litter present at time, t, in g/cm² the rate out = rate of decomposition = the percentage rate × f(t) = 80% per year × f(t) = 0.8f(t) g/cm²/yr

Since df(t)/dt = rate in - rate out

df(t)/dt = 10 - 0.8f(t)

So the desired differential equation is

df(t)/dt = 10 - 0.8f(t)

I need help please.

Answers

Answer:

may it help you..MARK ME AS BRAINLISTS PLS

Derek and his friend share two small pizzas Derek ate 7/6 of the pizzas which mixed number shows how much pizza Derek ate

Answers

1 1/6 that would be the mixed number of how much he ate....

A plane flying horizontally at an altitude of 1 mile and a speed of 460 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 miles away from the station. (Round your answer to the nearest whole number.)

Answers

Answer:

The rate increases at 398mi/h

Step-by-step explanation:

Given

[tex]\frac{dx}{dt} = 460mi/h[/tex] --- rate when [tex]y = 2[/tex] --- distance

The given parameters is represented with the attached figure

Using Pythagoras theorem [take the attached image as a point of reference]

[tex]y^2 = x^2 + 1^2[/tex]

[tex]y^2 = x^2 + 1[/tex]

Differentiate with respect to time (t):

[tex]2y \frac{dy}{dt} = 2x \frac{dx}{dt}[/tex]

Divide both sides by 2

[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex] --- (1)

When y = 2:

[tex]y^2 = x^2 + 1^2[/tex] --- Pythagoras Theorem

[tex]2^2 = x^2 + 1[/tex]

[tex]4 = x^2 + 1[/tex]

Collect like terms

[tex]x^2 = 4 -1[/tex]

[tex]x^2 = 3[/tex]

Solve for x

[tex]x = \sqrt 3[/tex]

So:

[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex]

Substitute: [tex]x = \sqrt 3[/tex], [tex]\frac{dx}{dt} = 460mi/h[/tex] and [tex]y = 2[/tex]

[tex]2 * \frac{dy}{dt} = \sqrt 3 * 460[/tex]

[tex]2 * \frac{dy}{dt} = 460\sqrt 3[/tex]

Divide by 2

[tex]\frac{dy}{dt} = 230\sqrt 3[/tex]

[tex]\frac{dy}{dt} = 230*1.7321[/tex]

[tex]\frac{dy}{dt} = 398.383[/tex]

[tex]\frac{dy}{dt} \approx 398[/tex]

given that the circumference of an orange us 50.24mm find the volume of the orange

Answers

Answer: 803mm

Step-by-step explanation:

What is x and y please help

Answers

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

Need help on this math ASAP I will give the brainiest to the person who answers this correctly! Do the ones that are circled in red please. (67 points to the person who answers this)

Answers

First box: 7/12, if 5/12 chance of making it then 7/12 of missing

Second box: 7/8=87.5%
Think about it like There is a 1 in 8 chance of landing on blue or 12.5% and the rest of the 100% would be on not getting blue

The solution is, 0.39 = 39% of probability.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

When you need to calculate probabilities involving "or" questions, in general you should use the following formula: , where P(A) is the probability of event A and P(B) is the probability of event B.

In the problem given, P(A) = yes and P(B) = male, then:

P(yes) = 33/100

          = 0.33

P(male) = 20/100

            = 0.20 (all male that answered the question)

P(yes and male)

= 14/100

= 0.14 (all male that answered yes to the question)

P(yes or male) = P(yes) + P(male) - P(yes and male)

                        = 0.33+0.20-0.14

                        = 0.39

                        =39%

Hence, The solution is, 0.39 = 39% of probability.

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Complete question:

One hundred people were asked, "Do you favor the death penalty?" Of the 33 that answered "yes" to the question, 14 were male. Of the 67 that answered "no" to the question, six were male. If one person is selected at random, what is the probability that this person answered "yes" or was a male?

log8(216)+[log(42)_log(6)]÷log(49)​

Answers

Answer:

3 log (3) + 1/2

Step-by-step explanation:

log8(216) + [log(42) - log(6)] ÷ log(49)​ =log (216)/ log (8) + [log (7) + log (6) - log (6)] ÷ 2 log (7) =3 log (3) log (2)  / 3 log (2) + log (7) / 2 log (7) = 3 log (3) + 1/2

Which graph shows a proportional relationship?
A. B. C D.

Answers

Answer:

B

Step-by-step explanation:

a proportional relationship must have a straight line when graphed and it must go through the origin (0,0)

Right off the bat we can eliminate answer choice C because the line is not straight

the answer is not a nor d

the line may be straight but it does not go through the origin therefore it is not a proportional relationship

B makes a straight line and the line goes through the origin therefore B is the answer

Answer is B...........

Tyler has to savings accounts that his grandparents opened for him . One of the accounts Pay 8% annual interest Where as the other pay 10% annual interest. If you have $700 more invested at 10% then you invested at 8%, how much do you have invested in each account If the total amount of interest You earn in a year is $106?

Tyler invested $___at 8%, and $___at 10%

Answers

Thank you hope this helps see photo

Consider the proposition
2x + 5 > 13
(a) is the condition x > 0 necessary, or sufficient, or both necessary and sufficient for the
inequality to be satisfied?
(b) Answer the same question when x 0x is replaced by x 50
(c) Answer the same question when x > 0 is replaced by x > 4.​

Answers

your answer is C

your answer is C

your answer is C

your answer is C

your answer is C

Answer:

C

Step-by-step explanation:

2x+5=13

2x+5-5=13-5

2x=8

2x/2=8/2

X=4

Simplify.
(5+squartrt3)2


25 + sqrtrt10
10 + 28sqrtrt3
28 + 10sqrtrt3

Answers

Answer:

Step-by-step explanation:

If the 2 is an exponent, it needs to be written as ^2.

(5+√3)²  = 5² + 10√3 + 3 = 28 + 10√3

Rory earned an 84% on his test. He answered 21 questions correctly. How many total questions were on the
test? Round to the nearest tenth if necessary

Answers

Answer:

25 questions,

$18.75

Step-by-step explanation:

Remember, to change percents to decimals, divide the number by 100 and remove the parentheses.

1. 84%, or 21 questions of Roy's test were correct.

Let's set the number of questions on the test as "x". We can then write this equation:

84% * x = 21

Simplify.

0.84 * x = 21

Divide both sides by 0.84

x = 25

There were 25 questions on the test.

2. Cheesecake Factory question

We need to find 15% of 125.

15% * 125 =

0.15 * 125 =

18.75

They need to leave a $18.75 tip.

I hope this helps! Feel free to ask any questions!

PLEASE HELP ME 30 points!!!



Multiple Choice

Eighteen students in a class play baseball.

Seventeen students in the class play basketball.

Thirty students in the class play either or both sports

Select the Venn diagram that shows the number of students who play basketball and baseball.

Answers

Answer:

A

Step-by-step explanation:

its a bec count how many student are their an see if they add IP to 30

The Venn diagram which shows the number of students who play basketball and baseball is option A.

What is Venn Diagram?

Venn diagram is a diagram denoting two or more sets which is drawn using circles inside a rectangle where the part where the two circle meet denotes the intersection of two sets.

Let A denotes the students playing baseball and B denotes the student playing basketball.

N(A) = 18

N(B) = 17

N(A ∪ B) = 30

We know,

N(A ∩ B) = N(A) + N(B) - N(A ∪ B)

              = 18 + 17 - 30

              = 35 - 30

              = 5

Number of students who play both baseball and basketball = 5

Number of students who plays only baseball = 18 - 5 = 13

Number of students who plays only basketball = 17 - 5 = 12

This is shown in A.

Hence the correct option is A.

Learn more about Venn Diagrams here :

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WILL MARK BRAINLIST
The second story gutters of a house need to be cleaned. The gutters are 18.7 ft. high on the house. If a ladder will be placed 6 ft. from the base of the house, how long will the ladder need to be to reach the gutters? Round to the nearest foot. *

A. 18 ft
B. 19 ft
C. 20 ft
D. 21 ft

Answers

Answer:

C. 20 Ft.

Step-by-step explanation:

Using The Pythagorean Theorem, a²+b²=c² , insert the known variables into the equation.

18.7²+6²=c²

This gives you 385.69 + 36 = 385.69.

Next, square the result to find the missing side length.

[tex]\sqrt{385.69[/tex]

The answer comes out to around 19.6, which can be rounded up to 20ft.

Hope this helped!

an ice cream company made 38 batches of ice cream in 7.6 hours. assuming A CONSTANT RATE OF PRODUCTION, AT WHAT RATE IN HOURS PER BATCHWAS THE ICE CREAM MADE. (hours per batch)

Answers

Answer:

5 batches per hour

Step-by-step explanation:

Use the Distributive Property to write an expression that is equivalent to 2(3v + 6)

Answers

Answer:

6v + 12

Step-by-step explanation:

2(3v+6) = 2 * 3v + 2 * 6 = 6v + 12

Hope this helps =]

Write 5x – 4y = 10 in slope-intercept form

Answers

y=5/4x + 5/2 hope this helped

please help with this algebra question

Answers

Answer:

i think its

[tex]P(x) = i ^{3}[/tex]

Step-by-step explanation:

PLEASE HELP ME !!!!!

Answers

Answer:

Step-by-step explanation:

1.values of x at y=0 are 1

2.5

3.

(3,-4)

4.

it is a minimum.

5.

axis of symmetry is x=3

help would be v appreciated thx :)

Answers

Answer:

Step-by-step explanation:

(1 point)
Only answer if you know!!! Meg was deep-sea diving at 15 feet below sea level. She dove another 7 feet below sea level. How far
below sea level was Meg?
O 8 ft below sea level
O 12 ft below sea level
O 22 ft below sea level

Answers

22 ft below sea level

Answer:

22 feet below sea level

Step-by-step explanation:

she kept going down, basically in a negative way. adding to the already below sea level

which multiplication equation describes the picture of the third pies below?

Answers

Answer:4x1/3=4/3

Step-by-step explanation:

In the pictures there’s 4 one thirds and if u add them together is 4/3

f^-1(x)= -3+^3 squareroot x+4 is the inverse function of f(x)= (x-3)^3 +4 true or false

Answers

that the answer is true

3. Classify the triangle with the given side lengths as acute, right, obtuse, 10 points
or not a triangle: 11, 13, 25
Not a triangle
Acute
Right
Obtuse
4. Classify the triangle with the given side lengths as acute, right, obtuse, 10 points
or not a triangle. 21, 28, 35
Not a triangle
Acute
Right
Obtuse

Answers

Answer:

3) Obtuse

4) Right

Step-by-step explanation:

3)

11 + 13 > 25 It is a triangle

11² + 13² = 25²

121 + 169 = 625

290 ≠ 625

Since hypotenuse is larger, the triangle is obtuse

4)

21 + 28 > 35 It is a triangle

21² + 28² = 35²

441 + 784 = 1225

1225 = 1225

Since the hypotenuse is equal to the legs, it's a Right triangle

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