The perimeter of a rectangle is 60. The width is represented by 3x + 1 and the length is represented by 5% - 3. Solve for x.
A.4
B.6.6
C.2
D.7.75

Answers

Answer 1

Answer:

[tex]perimeter = 2(l + w) \\ 60 = 2(3x + 1 + 5x - 3) \\ 30 = 8x - 2 \\ 8x = 32 \\ x = 4[/tex]


Related Questions

what would be the value of y? help

Answers

The total value of y should be 60

Herb drew an equilateral triangle one side of the triangle is 5 inches long the other side of the triangle what is 5 inches long how long was The third side of the triangle herb drew explain your reasoning

Answers

Answer:

5 in.

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

So third side is 5 inches long.

Pls hurry, will mark brainliest

Answers

Answer:

B is correct

Step-by-step explanation:

Answer: b
Hope this helps

Out of 18 people in a room, 2 have red hair. What is the probability that a person picked at random from the room does NOT have red hair?
Give an explanation plz:)​

Answers

Answer :

Total number of people in the room = 18

Number of people with red hair = 2

Number of people not with red hair = 18 - 2 = 16

Probability of picking a person who doesn't have red hair = [tex]\sf\dfrac{Number\:of\:favourable\:outcomes}{Total\:outcomes}[/tex]

Probability = 16/18

Reduce the fraction with 2

Probability = 8/9

Answer:

[tex]\implies\boxed{\red{\sf P( not \ having\ red\ hair)=\dfrac{ 8}{9}}}[/tex]

Step-by-step explanation:

Given :-

There are 18 people in the room .Two of them have Red hair.

And we need to find the probability that a person picked at random from the room does not have red hair . So for that firstly let us find how many people do not have red hair.

According to Question :-

[tex]\implies n_{(red)}+ n_{(not\ red)}= 18 \\\\\implies 2 + n_{(not\ red)}= 18 \\\\\implies n_{(not\ red)}= 18 -2 =\boxed{\red{16}}[/tex]

Hence the probability is :-

[tex]\implies P( not \ having\ red\ hair)=\dfrac{ n_{(favourable\ outcomes)}}{n_{(possible\ outcomes)}} \\\\\implies P( not \ having\ red\ hair)=\dfrac{ 16}{18} \\\\\implies\boxed{P( not \ having\ red\ hair)=\dfrac{ 8}{9}}[/tex]

Hence the required probability is 8/9 .

Please help! I don't really understand this.

Answers

Step-by-step explanation:

11.

Area of rectangle = 408 in²

Length = 3x-2 and width = x

The area of a rectangle is given by :

A = lb

(3x-2)x = 408

x = 12 inch and x = -11.33 in

Neglecting negative value,

The width of rectangle = 12 inch

The length of rectangle = 3x-2 = 3(12)-2 = 34 inch

12.

Base of triangle = 2x+2

Height = x

The area of a triangle is given by :

[tex]A=\dfrac{1}{2}bh\\\\600=\dfrac{1}{2}\times (2x+2)x\\\\600=(x+1)x[/tex]

x = 24 cm and x = -25 cm

Neglecting negative value, x = 24 cm

Base = 2x+2 = 2(24)+2 = 50 cm

Hence, this is the required solution.

HELPPPP PLEASE HELP ME WITH BASIC MATH I REALLY APPRECIATE IT ((WILL MARK AS BRAINLIEST))​

Answers

Answer:

3) 522

4) 468

Step-by-step explanation:

hello!

3) in the question, it says the cross section is a square, and the area of PQRS is 81.

for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)

with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.

both squares : 81+81=162

both 10 by 9 sides: 90+90=180

both 10 by 9 sides (top and bottom): 90+90=180

total surface area=162+180+180=522

4) for this problem, we can see that the triangle is a right triangle.

to solve the area of the triangle, we can do (9*12)/2=108/2=54.

there are two sides with triangles, so we double 54 (54*2=108)

9 by 10 side: 90

10 by 12 side: 120

now for the last slide, theres no information on the length. the formula for the diagonal is

a^2+b^2=c^2

which is

9^2+12^2=81+144=255=15^2

with this, the area of the rectangular side gives us 10*15 which is 150.

adding it together, we get

108+90+120+150=468.

hope this helps!

find the value of X to the nearest tenth:

Answers

Answer:

13.0

Step-by-step explanation:

sin(65°) × 14.3 would give u 12.9 then u round it to the 13

What is the equation of the graph below?
A.y = - (x - 2)^2 + 3
B.y = (x + 2)^2 + 3
C.y = - (x + 3)^2 + 2
D.y = (x - 3)^2 + 2

Answers

Answer:

The answer is letter B.

Step-by-step explanation:

go left 2

up 3

You start driving south for 16 miles, turn left, and drive east for another 12 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Answers

Answer:

20

Step-by-step explanation:

(16)2+(12)2=

 c2\,\,c^{2}c2

Use the Pythagorean Theorem.

256+144=256+144=256+144=

 c2\,\,c^{2}c2

Simplify.

400=400=400=

 c2\,\,c^{2}c2

Simplify.

±400=\pm\sqrt{400}=±400

​=

 c2\,\,\sqrt{c^{2}}c2

Square root both sides.

20=20=20=

 c\,\,cc

Simplify. Ignore negative root, as length must be positive.

Find the surface area of the composite figure.
SA = [ ? ] cm^2

Answers

Answer:

644

Step-by-step explanation:

SA=[2×(5×20 + 5×6 + 20×6)] +

[2×(4×12 + 4×6 + 12×6)] -

[ 2× 12×6]

= [2×(250)]+[2×(144)] - [144]

= 500+288-144

= 644 cm²

If two points known on the line A B in the coordinate plane is (7,15) and (18,42), calculate the slope of the line AB and the length of the line AB

Answers

Answer:

Slope = 27/11

AB = 29.15 u

Step-by-step explanation:

Given :-

Two points are given to us .The points are A(7,15) and B(18,42)

To Find :-

The slope of the line .The length of line AB .

We can find the slope of the line passing through the points [tex]( x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex]as ,

[tex]\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}[/tex]

Plug in the respective values ,

[tex]\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}[/tex]

Hence the slope of the line is 27/11 .

[tex]\rule{200}2[/tex]

Finding the length of AB :-

We can find the distance between them by using the Distance Formula .

[tex]\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }[/tex]

Hence the length of AB is 29.15 units .

Which gives the line of best fit?

f(x)=45x

f(x)=x

f(x)=2x

f(x)=45x+45

Answers

Answer:

f(x) = x

Step-by-step explanation:

example of points on line: (40,40), (45,45), (50,50)

x-values are the same as y-values which means the line is y=x

Find the volume of the rectangular pyramid
Thank you!!

Answers

Answer:

72

Step-by-step explanation:

Practice 4b
In the diagram, PQRS is a rectangular sloping surface, PQTU is a rectangle on horizontal ground and RI and
SU are vertical lines. PQ = SR=UT = 45 cm, QR = PS = 32 cm and angle RQT= 38º.

Calculate
PR,
(b) RT, and
(c) angle RPT

Answers

Answer:

(a) PR = 55.2 cm

(b) RT = 19.7 cm

(c) <RPT = [tex]20.8^{o}[/tex]

Step-by-step explanation:

(a) to determine the value of PR, apply the Pythagoras theorem to PQR.

PQ = 45, and SP = QR = 32. So that;

[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]/PR/^{2}[/tex] = [tex]45^{2}[/tex] + [tex]32^{2}[/tex]

          = 2025 + 1024

          = 3049

PR = [tex]\sqrt{3049}[/tex]

     = 55.218

PR = 55.2 cm

(b) To determine RT, apply the appropriate trigonometric function to QRT.

Let RT be represented by x, so that;

Sin [tex]38^{o}[/tex] = [tex]\frac{x}{32}[/tex]

x = 32 * Sin [tex]38^{o}[/tex]

  = 32 * 0.6157

x = 19.7024

RT = 19.7 cm

(c) To determine <RPT, let the angle be represented by θ.

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{RT}{PR}[/tex]

Sin θ = [tex]\frac{19.7024}{55.218}[/tex]

         = 0.3568

θ = [tex]Sin^{-1}[/tex] 0.35568

  = [tex]20.84^{o}[/tex]

Thus, <RPT = [tex]20.8^{o}[/tex]

PLEASE ASAP ILL GIVE BRAINLIEST.

Answers

Answer:

Basketball being held!

Step-by-step explanation:

It's complicated to explain, but I hope this helped! :)

what is the volume of the rectangular prism?
PLEASE ANSWER!!! *any links will be reported*
PLS ANSWER QUICK!!​

Answers

Answer:

4.2

4.5

3.2 it would be equal to 9.56

Step-by-step explanation:

add 4.2+4.5+3.2=9.56

A jogger is running around a 3/4 mile track and he has ran 2/3 around the track how far has the jogger traveled? THANKS!

Answers

Answer:

.5

Step-by-step explanation:

3/4 of a mi is equal to 0.75 mi

2/3 of .75 is .5

i need help with geometry

Answers

if i’m not wrong the answer should be B
The answer to the question is B

Could someone plz help fast thanks

Answers

Answer is 60.05cm^2


First, find the area of both circular sides:
Area = pi x radius^2
Area = pi x (4.5/2)^2
Area = 15.904....

There are two sides, so times the area of the circle by 2.
15.904... x 2 = 31.808....

Afterwards, find the area of the outside circular part.

You use the formula to find the circumference of the circle as that is just the outside length of the circle.
Circumference = pi x diameter
C = pi x 4.5
C = 4.5pi

Afterwards, times the circumference by the 2cm length.
4.5pi x 2 = 9pi


Then, add up all the area.
31.808 + 9pi = 60.082... approx, where this answer is closest to the last answer.

142- 132= 14+13 pls do this question for me

Answers

Answer:

37

Step-by-step explanation:

You subtract 142-132 then add 14+13 and 14+13=27 & 142-132=10

Answer:

37 :)

Step-by-step explanation:

Well, the first step you do is you do 142-132 which is (10). The Next step is to do 14+13 which is (27). Now you have 10 and 27 which you now add to get you.. (37)!

Hope this helps! ^^

solve the right triangle. round answer to the tenth.

Answers

Answer:

By using the pythagorean property such that GJ^2+HJ^2 = GH^2

GJ = √(GH^2-HJ^2)

GJ √(11881-8281)

GJ = √ 3600

GJ = 60.00 (ANS)

Hope it helps

Jelani made a mistake solving an equation. His work is shown below.
...
Where did Jelani make a mathematical mistake?

Answers

Answer:

d. going from step 1 to step 2.. i think

PLS HELP I NEED HELP
What is the area of this shape?

Answers

The area of the shape is 4 cm

What is not a multiple of 2 and what is not a multiple of 7

Answers

Any number which isn’t in the 2 or 7 times tables would work. For example 15, 23 or 37

Answer: For 2 it could be 43 and for 7 it could be 58

Step-by-step explanation:

hii please help i’ll give brainliest

Answers

Answer:

it's probably 37 I could be wrong but hope this helps ya

i believe it’s 37 as welll !!

The wavelength of a certain type of light is 0.0000014 inches. Write the wavelength in scientific notation.

Answers

Answer: [tex]1.4\times 10^{-6}[/tex]

Step-by-step explanation:

Given

The wavelength of light is 0.0000014 inches

Here, seven digits are followed by a decimal point

To convert it to scientific notation, convert it into a fraction i.e.

[tex]=0.0000014=\dfrac{14}{10,000,000}[/tex]

In the denominator, there are 7 zeroes

[tex]\therefore 0.0000014=\dfrac{14}{10^7}\\\\\Rightarrow 0.0000014=14\times 10^{-7}\\\\\Rightarrow 0.0000014=1.4\times 10^{-6}[/tex]

Consider the triangle.
Which shows the order of the angles from smallest to
largest?
А
22
12
B
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C, angle A, angle B
16
с

Answers

Answer:

It's the second answer down : Angle B, A and C

Step-by-step explanation:

The sequence from the smallest to the largest is angle B, angle A, angle C .

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given AB= 22 units

BC=16 units

AC=12 units

The property of Triangle says, in a triangle, angle opposite to the greater side have greater angle.

That is angle opposite to the shorter side have shorter angle.

Therefore, we have

Therefore,

angle opposite to side AC is angle B,

angle opposite to side BC is angle A,

angle opposite to side AB is angle C,

Therefore, the sequence from the smallest to the largest is angle B, angle A, angle C .

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ7

please help i’ll give brainliest

Answers

Answer:the answer is mode

Step-by-step explanation:

M multiplied by 4 is greater than 12
How do I solve it

Answers

Answer:

M > 3

Step-by-step explanation:

4M > 12

M > 3

Answer:

um... you can have M as 4. 4 x 4 =16

Which expression is used to find the probability of 4 even numbers being rolled on 20 successive rolls of a six-sided die?

Answers

Answer:

15/36 (41.667%)

Step-by-step explanation:

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