please help me out, algebra 2 question #9

Please Help Me Out, Algebra 2 Question #9

Answers

Answer 1
Answer :

Perimeter of rectangle = 26

Length is 7 less than 9 times the width.

We have to find the width of rectangle[tex].[/tex]

_________________________________

Let, width of rectangle be x therefore length of rectangle will be (9x - 7)

We know that, perimeter of rectangle is given by

perimeter = 2 (length + width)

⇒ perimeter = 2 (l + b)

⇒ 26 = 2 [(9x - 7) + x]

⇒ 13 = x + 9x - 7

⇒ 20 = 10x

x = 2 (width)

Cheers!

Answer 2

Step-by-step explanation:

Let breadth be x

As it is given that, the Length is 7 less than 9 times :

Therefore, Length will be 9x - 7

Perimeter of reactangle = 26

➳ 2 ( Length + Breadth) = 26

➳ 9x - 7 + x = 26/2

➳ 10x = 13 + 7

➳ 10x = 20

x = 2

Therefore,

Breadth = x = 2

Length = 9x - 7 = 9(2) - 7 = 11

Related Questions

NEED HELP ! It’s due tonight

Answers

The graph starts at a value in between 1 and 2 while the expression starts at a value of 6, therefore, the expression has a higher initial value.

6+7m<6m or 3m-7<5+6m

Answers

Step-by-step explanation:

6+7m<6m or 3m-7<5+6m

6<7m+6m or 3m-6m<5+7

6<13m or -3m<13

m<13/6 or m<13/-3

m<2.16 or m<-4.333

m<2.2 or m<-4.34

Find the distance between the points (-1,-7) and (8,-9). The answer must be a whole number or a fully simplified radical expression do not round up

Answers

Answer:

The answer is

[tex] \sqrt{85} \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-1,-7) and (8,-9)

The distance between them is

[tex]d = \sqrt{( { - 1 - 8})^{2} + ({ - 7 + 9})^{2} } \\ = \sqrt{ ({ - 9})^{2} + {2}^{2} } \\ = \sqrt{81 + 4} [/tex]

We have the final answer as

[tex] \sqrt{85} \: \: \: units[/tex]

Hope this helps you

The midpoint of AB is M(-2,2). If the coordinates of A are (-8, -1), what are
the coordinates of B?

Answers

Answer:

work is attached and shown

The coordinates of the midpoint will be (4,5).

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(-2,2) and the coordinates of A are (-8, -1).

The midpoint will be calculated by using the formula below:-

( -8 + x ) / 2 = -2

( -8 + x ) = -4

x = -4 + 8 = 4

( -1 + y ) / 2 = 2

( -1 + y ) = 4 = 1 + 4 = 5


Therefore, the coordinates of the midpoint will be (4,5).

To know more about Coordinate geometry follow

brainly.com/question/18269861

#SPJ2

Points F, G and H are collinear. If GH = 16, what is FH?

Answers

Answer:

FH = 36 units

Step-by-step explanation:

Points F, G and H are collinear.

Therefore, by joining segments FG and GH we get a segment FH.

FH = FG + GH

By substituting the values of the segments given in the question,

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

     = 5x + 1

Since, GH = 16

2x + 2 = 16

2x = 14

x = 7

Therefore, FH = (5x + 1)

                       = 35 + 1

                       = 36 units

Measure of segment FH = 36 units.

8 Level Problems (Challenging, Unfamiliar)
4. In a right triangle, the hypotenuse is 3 times the length of the shorter leg. The longer leg is 5cm. Find
the length of the hypotenuse.

Answers

Answer:

h = 15√3/4

= 6.4875

≈ 6.5 cm

Step-by-step explanation:

h = 3x

c₁ = 5 cm

c₂ = x

Pythagoras

h² = c₁² + c₂²

(3x)² = 5² + x²

9x² = 25 + x²

8x² = 25

x² = 25/8

x = √25/8

x = 5/2√2

x = 5√2/4

h = 3x

= 3×5√2/4

= 15√2/4 cm


Tommy has 15 marbles in his pocket. He has 3 green, 4 white, 6 black, and 2 blue marbles. If he randomly puts his hand in his pocket and
grabs a marble, what is the probability that he will pick a black marble?

Answers

Answer:

0.4

Step-by-step explanation:

The formula to calculate number of black marbles isnumber of favourable items by number of favourable items i.e for black marbles it will become

P(B)=number of black marbles divide by total number of marbles

P(B)=6/15

P(B)=0.4 OR 40%

Therefore the probability that Tommy will pick black marble is 0.4 or 40%

Chris has finished 30% of an art project that has taken him a total of 9 hours so far

Answers

it should take him about 30 hours

A square has a perimeter of 28 ft. What is the length of each side?

Answers

Answer:

7 Centimeters (CM)

Step-by-step explanation:

You want to divide the perimeter by 4 to find the individual lengths. (28/4) Therefore each side of the square is 7cm long.

You are increasing all sides by a scale factor of 3.

This gives each side a length of 21cm

Hope this helped!

Answer:

7ft

Step-by-step explanation:

A square has 4 congruent sides so that means all sides are the same.

28 ÷ 4 = 7

Change the following rate into a unit rate: $12/6 burgers.​

Answers

Answer:

$2/1 burger

Step-by-step explanation:

You have to divide the number that can divide into both the most which means twelve divided by 6 is two and 6 divided by 6 is 1 which means $2/1

The cafeteria wants to buy 4,500 new forks. If each package contains 90 forks, how many packages should the cafeteria buy?

Answers

Answer:

50

Step-by-step explanation:

4,500÷90=50

and to check

90×50=4500

[4+(-3)]b-b(-6+2)
Help me plz
its due by midnight ​

Answers

Step-by-step explanation:

[ 4 - 3 ] b -b (-4)

1 b + 4b

5b Ans according to me

how much can an 55 affect my overall 100 grade?

Answers

Answer:

Depends on how many assignments you've completed.

Step-by-step explanation:

The accumulated overall grade is all about percentages, everything's a ratio when it comes to grades.

Answer:

it can bring it down alot

Step-by-step explanation:

it also can make your redo the grade

A car of mass 100 kg is moving with a velocity of 10 m/s on a road when it collides with a bus weighing 150 kg which is at rest. If both the vehicles start drifting together after the collision, find the velocity with which they are moving now?

Answers

Answer: they would be moving 15m/s

Step-by-step explanation:

10m/s times 150kg= 1500divided by 100kg=15m/s

Charlotte is making pies for her whole family. So far, she has made 5.04 pounds worth of pie, and has 7 people to feed, including herself. How much does each person get if Charlotte is done making pies?

Answers

Answer:

  0.72 pounds

Step-by-step explanation:

Each of the 7 people gets 1/7 of the pounds of pie, so ...

  (5.04 pounds)/7 = 0.72 pounds

Each person gets 0.72 pounds of pie.

A pen costs $1.50. It costs $0.25 less than a marker. If I paid for both supplies with $5.00, what would be my change?

Answers

Answer:

tour change would me $1.75

someone help me find the answer

Answers

The coordinates of M ⇒ (-6,0)

                                N ⇒ (-3,2)

Distance formula ⇒[tex]\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2}[/tex]

Plugging in those values gives us an answer of [tex]\sqrt{13}[/tex]

Let me know if you want to see more work!!!

:)

A water tank holds 486 gallons but leaking at a rate 4 gallons per week. A second water tank holds 648 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the 2 tanks? The amount of water that holds the two tanks will be the same in _ weeks.

Answers

The first tank contains

486 gal - (4 gal/week) t

gal of water after t weeks.

Similarly, the second tank contains

648 gal - (7 gal/week) t

gal of water.

The tanks hold the same amount of water when these two amounts are equal:

486 gal - (4 gal/week) t = 648 gal - (7 gal/week) t

(7 gal/week) t - (4 gal/week) t = 648 gal - 486 gal

(3 gal/week) t = 162 gal

t = (162 gal) / (3 gal/week)

t = 54 weeks

can someone help me with this question? I keep on getting it wrong.

Answers

Answer:

102

Step-by-step explanation:

Let x be the amount of money John spends.

x/2-5=46

x/2=51

x=102

Find the volume of the triangular prism​

Answers

Answer:

your weight loss will help your child get through to your doctor if your child is a si and he's a doctor or 6or a child or an adult or an adult child and you can get in the way I want

Find the value of x. (Hint: The sum of the angle measures of a quadrilateral is 360°.)
(5x+60)

Answers

pretty sure that the value of x is 60 since

5 times 60 = 300
300 + 60 = 360 :)

What is the value of x?
2/7(x+4)= -6
O x=35
O x= -25
O x= 25
O x=35

Answers

Hey there!

2/7(x + 4) = -6

2/7(x) + 2/7(4) = -6

2/7x + 8/7 = -6

SUBTRACT 8/7 to BOTH SIDES

2/7x + 8/7 - 8/7 = -6 - 8/7

CANCEL out: 8/7 - 8/7 because it gives you 0

KEEP: -6 - 8/7 because it helps solve for the x-value

NEW EQUATION: 2/7x = -6 - 8/7

SIMPLIFY IT!

2/7x = -50/7

MULTIPLY 7/2 to BOTH SIDES

7/2 * 2/7x = 7/2 * (-50/7)

CANCEL out: 7/2 * 2/7 because it gives you 1

KEEP: 7/2 * (-50/7) because it helps solve for the x-value

NEW EQUATION: x = 7/2 * (-50/7)

SIMPLIFY IT!

x = -25

Therefore, your answer is: x = -25

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

How many metres of cloth 4.4 m wide will be required to make a conical tent of radius of whose base is 3.5m and whose height is 8.4m .

Answers

➢ Answєr :

[tex]\Huge{\boxed{\sf{\red{22.98m}}}}[/tex]

➢ Explαnαtion :

Givєn :

Radius of the tent,r = 3.5 mHeight of the tent, h = 8.4 m

To Find :

length of the cloth required.

Solution :

According to the question,

Slant height, l = [tex]\displaystyle{\sf{ \sqrt{{r}^2 + {h}^2} = \sqrt{{3.5}^2 + {8.5}^2}}}[/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ = 9.192m}}[/tex]

curved surface area = [tex]\displaystyle{\sf{ \pi rl}}[/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{22}{7} \times 3.5 \times 9.192{m}^2}}[/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ 101.112}}[/tex]

i.e., Area of the cloth is 101.11m²

Now, length of the cloth required = [tex]\displaystyle{\sf{ \frac{area}{width}}}[/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{101.11}{4.4}}}[/tex]

[tex]\implies[/tex] [tex]\large{\boxed{\sf{\red{22.98m}}}}[/tex]

Please help due tonight being graded very urgent need help please Makayla has 68 customers that she delivers a paper to every morning. She gets paid a flat fee of $8.50 per week plus an additional $0.67 per customer per week. How many weeks does she need to deliver papers to save at least $500 to buy a new tablet? make an equation or inequality and solve. Show your work

Answers

ok so 68 customers everything morning times 7 days per week is 476 customer.

now we know that 476 x .67 = $318.92

she make 8.50 per week plus $318.92 from customers

now we have this equation of

500 = 8.5x + 318.92

find x you will know how many weeks she needs.

8.5x = 500 - 318.92

8.5x = 181.08

x = 181.08/ 8.5

x ~~ 21.3 weeks

Answer:

1o weeks

Step-by-step explanation:

As I understand it she get's paid 8.50 per week

8.50x

and 0.67 per customer per week

0.67(68)x since there are 68 customers

it has to be at least 500

[tex]8.5x+0.67(68)x\geq 500\\\\8.5x+45.56x\geq 500\\\\56.06x\geq500\\\\x\geq\frac{500}{56.06} \\\\x\geq 9.24...\\\\x=10[/tex]

The grocery store is having a sale on frozen vegetables. 4 bags are being sold for 11.96. At this rate, what is the cost of :

1 bag
9 bags

Answers

1 bag = 2.99

9 bags = 26.91

Help me solve the following?

Answers

10y+30=100
-30=-30
———————
10y=70
————-=7
10. 10

Y=7

Answer:

[See Below]

Step-by-step explanation:

✦ Solve for [tex]10y+30=100[/tex].

✦ Subtract [tex]30[/tex] on each side:

[tex]30-30=Cancels~Out[/tex][tex]100-30=70[/tex]

✦ Divide [tex]10[/tex] on each side:

[tex]10/10=Cancels~Out[/tex][tex]70/10=7[/tex]

So the answer would be [tex]7[/tex].

~Hope this helps Mate. If you need anything feel free to message me.

Two trucks leave a factory at the same time. One travels east at 60 miles per hour, and the other travels west at 30 miles per hour. In how many hours will they be 150 miles apart? A 1-2/3 hours B 2 hours C 2-1/2 hours D 5 hours ​

Answers

A 1-2/3 hours there will be

Problem 5 (from Unit 2, Lesson 5)
Select all the ratios that are equivalent to each other.
4:7
8:15
16:28
2:3
20:35

Answers

Answer:

20:25 probably don't quote me

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Solve the following equation for x, and express its value in terms of c. 3(cx-7)=9

Answers

Answer:

x=10/c

Step-by-step explanation:

3(cx-7)=9

(cx-7)=3

cx=10  

x=10/c

Answer:

x=10/c

Step-by-step explanation:

3(cx-7)=9

(cx-7)=3

cx=10  

x=10/c

If 2x-3y+5-(x-3y)=11-2x, what is the value of x?

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]2x-3y+5-\left(x-3y\right)=11-2x[/tex]

Remove brackets and flip the sign in the brackets:

[tex]2x-3y+5-x+3y=11-2x[/tex]

Group the similar terms together:

[tex]-3y+3y+2x-x+5=11-2x[/tex]

Add/subtract the terms:

[tex]x+5=11-2x[/tex]

Subtract 5 from both sides:

[tex]x+5-5=11-2x-5[/tex]

[tex]x=-2x+6[/tex]

Add 2x to both sides:

[tex]x+2x=-2x+6+2x[/tex]

[tex]3x=6[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3}=\frac{6}{3}[/tex]

[tex]x=2[/tex]

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