The measure of the sides of a
triangle are in the extended
ratio of 3:5:7. The perimeter
of the triangle is 45 in. What
are the measures of the three
sides?
a) 6, 16, 23
b) 8, 15, 22
c) 6,9,15
d) 3, 5, 7
e) 9, 15, 21

Answers

Answer 1

Answer:

e) 9, 15, 21

Step-by-step explanation:

First you multiply each number in the ratio by x and set it equal to the perimeter or 45 in this case.

3x + 5x + 7x = 45

Then you add the like terms and get

15x = 45

Solve for x

x = 3

Now multiply 3 by each number

3•3= 9

3•5= 15

3•7= 21

Answer: 9, 15, 21


Related Questions

Tisha paid $10.50 for 6 liters of her favorite soda. To the nearest cent, how much did 3 liters of her
favorite soda cost?

Answers

Answer:

$5.25

Step-by-step explanation:

Step 1:

10.50 / 6 = x / 3       Equation

Step 2:

6x = 31.5      Multiply

Step 3:

x = 31.5 ÷ 6      Divide

Answer:

x = 5.25

Hope This Helps :)

Write the following in point-slope form, slope-intercept form, and standard form. (-2,9) m= -1

Answers

Answer:

x + y = 6

Step-by-step explanation:

9 = -2(-1) + b

9 = 3 + b

b = 6

y = -1x + 6

x+y =6

how to find the square root of 1225​

Answers

35 is the square root




Hope i helped

Answer:

35

Step-by-step explanation:

The square root is 35 because if you multiply 35 times 35 ([tex]35^{2}[/tex]), it would equal 1225.

Hope this helps and pls do mark me brainliest if you can:)

what is the image of(8,12) after a dilation by a scale factor of 1/4 centered at the origin?

Answers

The image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.

What is dilation?

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.  The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given that the image of (8,12) after dilation by a scale factor of 1/4 centered at the origin.

The image of the dilated point will be:-

x : - 8 ⇒ 8 / 4 = 2

y : - 12 ⇒ 12 / 4 = 3

Therefore, the image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.

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What is the area of this figure?
9 m
7 m
6 m
2 m
5 m
6 m
3 m
5 m
Write your answers using decimals, if necessary.

Answers

340,200? 8 have no idea I just multiplied all of the numbers since it says area

The total area of the composite figure made up of triangle, rectangle and square is; 106 m²

What is the Area of the Composite Figure?

The area of the Triangle is;

A_t = (1/2) * (6 + 4) * 9

A_t = 45 m²

Area of Square;

A_s = 5 * 5

A_s = 25 m²

Area of Rectangle is;

A_r = 6 *  6

A_r = 36 m²

Total Area = 45 m² + 25 m² + 36 m²

Total Area = 106 m²

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704% into a fraction

Answers

Answer:

7 4/100

Step-by-step explanation:

[tex] \green {\boxed{Answer}}[/tex]

[tex] = 704\%[/tex]

[tex] = \frac{704}{100} [/tex]

[tex] = \frac{704 \div 4}{100 \div 4} [/tex]

[tex] = \frac{176}{25} [/tex]

[tex] = 7 \frac{1}{25} [/tex]

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A stack of 3 books weighs 7.8 kilogramh book weighs the s. If eacsame amount, how much does each book weigh?

Answers

Answer:

they each way 2.6 kilograms

Which of these items is the better buy? A. An 8-pack of glue sticks for $3.99 or 1 glue stick for $0.54? B. A 12-pack of tape for $2.50 or 1 roll of tape for $0.19 c. A 100-pack of pencils for $4.88 or 1 pencil for $0.05 d. A 50-pack of paper clips for $0.89 or a 25-pack of paper clips for $0.45

Answers

Answer: A is the 8-pack, B is the single roll, C is the 100 pack, D is the 50 pack.

Step-by-step explanation:

For each of these, multiply the smaller number by a number that has a product of the bigger number, example D. multiply 25 by 2 to get 50, then compare the totals.

Answer:

the first one is an 8 pack of glue sticks

the second one is 1 tape roll for .19

the third one is 100 pack of pencils for 4.88

the fourth one is a 25 pack of paper clips

Step-by-step explanation:

y = bx(x - a)(x-a)(x + b)(x - b)
In the equation above, a and b are positive
constants and a ≠ b. How many distinct x-intercepts
does the graph of the equation in the xy-plane have?

Answers

The x-intercepts of an equation are simply the zeros of the equation

The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts

The equation is given as:

[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]

Set the equation to 0; i.e. calculate the zeros

[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]

Divide both sides by constant b

[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]

Split the above equation, as follows

[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]

Solve for x in each of the equation

[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]

Remove repeated solutions

[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]

The count of solutions above is 4

Hence, the equation has 4 distinct x-intercepts

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Jennifer is currently standing on a cruise ship at 29 feet above sea level. Jim is swimming at 8 feet below sea level. Jennifer is currently standing on a cruise ship at 29 feet above sea level. Jim is swimming at 8 feet below sea level. How far apart are Jim and Jennifer?How far apart are Jim and Jennifer?

Answers

Answer:

37ft

Step-by-step explanation:

step one;

In this problem, we are expected to solve for the distance between Jenifer and Jim

given that

Jennifer is 29ft above and

Jim is 8ft bellow

step two:

the distance between them can be calculated as

distance= 29+8

distance=37ft

The ideal length of a particular metal rod is 25.5 cm. The measured
length may vary from the ideal length by at most 0.025 cm. Find the
range of acceptable lengths for the rod.

Answers

Answer:

Option: D is the correct answer.

D) 20.455 <= X <= 20.545

Step-by-step explanation:

We are given The ideal length of a particular metal rod is 20.5 cm.

It is given that:

The measured length may vary from the ideal length by at most 0.045 cm.

By atmost we mean either less than or equal to that amount but not more than that.

It means that:

|X-20.5|≤ 0.045

⇒  -0.045  ≤ X-20.5 ≤ 0.045

⇒    -0.045+20.5 ≤ X ≤ 20+0.045

⇒   20.455 ≤ X ≤ 20.545.

Hope this helped! <3

15. The length of Yvette's cell phone screen is 0.35 feet. A movie theater screen is
about 100 times longer than Yvette's cell phone screen. What is the approximate
length of the movie theater screen?

Answers

Answer:

it would 35 feet long 100x0.35

The length of the movie theater will be 35 feet.

What is algebraic expression?                      

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, we can write the expressions as -

2x + 3y + 5

3y + 5

5 + 6

Given is that the length of Yvette's cell phone screen is 0.35 feet. A movie theater screen is about 100 times longer than Yvette's cell phone screen.

Scale factor is defined as the ratio of final dimensions to the initial dimensions of the given image.

Mathematically, we can write -

{K} = final dimensions/initial dimensions

In the question given, the scale factor is -{K} = 100.

Assume the length of the movie theater to be {x}. So, we can write -

{x} = 0.35 x 100

{x} = 35/100 x 100

{x} = 35 feet

Therefore, the length of the movie theater will be 35 feet.

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Question Details
An atom of hydrogen has a mass of about 1.66 x 10^-25
grams. An atom of oxygen has a mass of about 2.656 x
10^-23 grams. How many times the mass of the
hydrogen atom is the mass of the oxygen atom? Give
your answer in scientific notation.
HELP

Answers

Answer:

Atomic mass unit-

It is represented by ‘amu’. It is equal to the quantity 1/12th mass of an atom of C-12.

Actual mass of one atom of C-12 = 1.9924 x 10-23 gm. = 1.9924 x 10-26 Kg.

1 amu = 1.9924 x 10 -23/12 = 1.66 x 10 -24 gm. = 1.66 x 10 -27 Kg.

Atomic mass of an element = mass of one atom of the element / 1 amu

Actual mass of an element = atomic mass of an element in amu x 1.66 x 10 -24 gm.

For ex-

Actual mass of hydrogen atom = 1.008 x 1.66 x 10 -24 gm. = 1.6736 x 10-24 gm.

Actual mass of oxygen atom = 16.00 x 1.66 x 10 -24 gm. = 2.656 x 10-23 gm.

Average Atomic weight (Mass)-

“The Average Atomic Masses of many elements are determined by multiplying the atomic mass of each isotope by its fractional abundance and adding these values and then dividing it by 100.”

Ex.- Naturally occurring carbon contains three isotopes – C12 (98.892 % abundance), C13 (1.108 % abundance), C14 (2 x 10-10 % abundance).The relative atomic masses of these isotopes are 12.000, 13.00335 and 14.00317 amu respectively.

Average atomic mass = % of I isotope x its atomic mass + % of II isotope x its atomic mass +% of III isotope x its atomic mass/100

= 12 x 98.892 + 13.00335 x 1.108 + 14.00317 x 2 x10-10 /100

Average atomic mass= 12.011 amu

Molar volume –

Molar volume of a substance is volume occupied by 1 mole of that substance .

Molar volume of solid or liquid = molar mass / density

Molar volume of ideal gas at 00C or 273 K and 1 atmosphere pressure is 22.4 litre.

Gram atomic mass(weight) or gram atom –

“Gram atomic mass(weight) of an element is the mass of Avogadro number ( 6.023 x 1023 ) of atoms of that elements in grams.”

Ex –

mass of 1 atom of oxygen = 16 amu = 16 x 1.66 x 10-24 gm

Mass of 6.023 x 1023 atoms of oxygen= 16 x 6.023 x 1023 x 1.66 x 10-24 = 16 gm.

Hence, Gram atomic weight of oxygen = 16 gm.

No. of gram atoms = mass of element in gm / atomic mass of element in gm.

Need some help plzzzz

Answers

2x is the slope;
it goes up 2 over 1 making it 2/1x

The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).

Convert 50°C to °F.

Answers

Answer: 122°F

Step-by-step explanation:substitute 50°C anywhere in the formula that has the C

how many solutions does this have? PLS HELP ILL MARK YOU BRAINEST

Answers

Answer:

5

Step-by-step explanation:

What is the quotient of 2/3 and 5/6;
A.1 4/5
B.4/5
C.5/9
D.1 1/4

Answers

B because multiply by the reciprocal giving u 2/3 x 6/5, then you’d reduce with the greatest common factor 3 giving u 2 x 2/5 = 4/5
the answer would be B

WHAT IS THE LAST SENTANCE FOR DESPASITO IN ENGLISH!!!!!!!!!!!!!!11

Answers

Ojhhha amhenamajaja a Jajajaja and

the sum of number and 12 is 30. determine the number

Answers

Answer:

42

Step-by-step explanation:

if I'm understand the question you add 12 and 30

a
(
n
)
=
c

5
+
6
(
n

1
)
a
(
n
)
=
c
-
5
+
6
(
n
-
1
)

Answers

Answer:

what should we have to do here

I don't understand

At ice skating lessons Sarah attempts to do a 360 degree spin, but only manages a quarter-turn on her first attempt
How many degrees short of her goal was Sarah's first attempt?
degrees

Answers

Answer:

Im sorry if this is wrong.

a quarter is 1/4. 1/4 is .25 so 360-25=335. so she only did 335 degree spin and was 25 degrees short

Step-by-step explanation:

The degree of spin Sarah wants to = 360 degrees

Hence, 1 turn = 360 degrees

Sarah does a quarter turn

A quarter is equivalent to : [tex]\frac{1}{4}[/tex]

So, [tex]\frac{1}{4}[/tex] turn = [tex]\frac{1}{4}[/tex] x 360 degrees

= 90 degrees.

The number of degrees short of her goal that Sarah was of her first attempt is  calculated as :

360 degrees - 90 degrees

= 270 degrees.

Therefore, Sarah was 270 degrees short of her goal at her first attempt.

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help i do nut understand

Answers

Answer:

500$ is the answer....

Answer:

$60 and $560

Step-by-step explanation:

Prt= Interest

(500)(0.04)(3)= $60

A = P(1 + rt)

A = 500 (1 + 0.04(3))

A= $560

evaluate the expression when a=32 and b=7 a/4 +b

Answers

I believe your answer would be 15:)

You have 80 feet of fencing to keep your dogs enclosed.
The length must be twice the width. What should the
width be?(please help due tonight and show work!)

Answers

Answer:

Twice something means multiply by 2 , you have 80 feet of fencing all together so half of 80 is 40 . Then take 40 and times it by 2 . which comes out to 80 .

(Just copy and Paste)

Step-by-step explanation:

pls respond ... 30 points :)

Answers

Answer:

B, 2x^2 - 4x + 8

Step-by-step explanation:

Given an area of 4x^2 - 8x + 16, and a length of 2, we can use the area formula of length, and width to find the area:

Length × Width = Area

Given these values, rearrange the formula to find the width:

Width = Area / Length

Then just substitute the values, and

simplify the expression:

Width = (4x^2 - 8x + 16) / 2

Width = 2x^2 - 4x + 8

Answer:

I think its B but dont keep my word as facts thats just what i think hope this helps even a little

Step-by-step explanation:

need help asapp I'll brainlist u once u finish !!​

Answers

Answer:

-3*-6*2^2+1

18*4+1

72+1

73

Step-by-step explanation:

2(5*-6*2-3)

2(-30*-1).

2*30

60

4*-6^2*2+2/10

4*36*2+2/10

4*72+2/10

288+2/10

290/10

29

9(-6-2^2)/6

9(-6-4)/6

9*10/6

90/6

15

Pictures, x
5
6 7
8
Profit, y
20
24
28
32
whats the fraction after being simplifyed?

Answers

Wat fraction post a pic of the problem

write a situation to represent the equation y=0.5x

Answers

Answer:

John went out to buy apples, the apples at the store each costed 0.5 dollars. How much money did John spend if he bought 50 apples?

Pretty simple, hopefully it is good enough, hope this helps!

A line's equation is a unified representation of all of the line's points.

Find the equation of the line pass though origin and slope 1/2 ?

What is the Equation of a Line?A line's equation is a unified representation of all of the line's points. Any point on a line will satisfy the equation in its general form, which is of the form ax + by + c = 0. The slope of the line and a point on the line are the two essential elements needed to create the equation of a line.A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are represented by y and x, respectively. where "m" represents a line's slope. So, the slope of a line is tan.

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What is 54 ÷ 2/3 ? ​

Answers

The answer to your question is 81.

Answer: 79 1/2

 Convert any mixed numbers to fractions.

    Then your initial equation becomes:

       53/1 ÷ 2/3

Applying the fractions formula for division,

multiply 53/1 by 2/3

      = 159/2

Simplifying 159/2, the answer is

79 1/2

Brooke purchased 16 boxes of a popular novel to sell at her bookstore. If each box weighs 29.5 pounds, what is the total weight of all of the boxes of books? A. 483.8 pounds B. 456 pounds C. 472 pounds D. 488 pounds

Answers

Answer:

C. 472

Step-by-step explanation:

16x29.5=472

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