Imperial measurements help please

We are given these three people age below:

We define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.

Next, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.

Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).

The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.

[tex] \large{x + x + 5 + 6 + x + 5 = 31}[/tex]

Combine like terms and solve for x.

[tex] \large{3x + 16 = 31} \\ \large{3x = 31 - 16} \\ \large{3x = 15} \\ \large{x = 5}[/tex]

Then we substitute the value of x in ages to find these three people ages.

Answer

Step-by-step explanation:

the answer is in the above image

Answer:

500 1/8" (500.125 inches)

Answer:

3n - 4m

Step-by-step explanation:

(2n-5m)+(n+m)

so we get this equation and from here, we expand the equation by removing the brackets, you should get:

2n-5m+n+m and just solve from here.

to make it easier, put the like terms together:

2n+n+m-5m

= 3n-4m

Answer:

3n - 4m

Step-by-step explanation:

(2n – 5m) and (n + m) in this case have the same value if the parentheses are removed.  We end up with:

2n – 5m

 n +   m

--------------        Grouping like terms vertically, as shown here, may make this

                         addition a bit easier.

2n – 5m

 n +   m

--------------

 3n - 4m (final answer)

Answer: x=-3

Step-by-step explanation:

Ok let's start by using the distributive property

[tex](-5)(x)+(-5)(7)=-14+2x\\-5x-35=-14+2x[/tex]

Now subtract 2x from both sides

[tex]-5x-35-2x=2x-14-2x\\-7x-35=-14[/tex]

Next add 35 to both sides

[tex]-7x-35+35=-14+35\\-7x=21[/tex]

Finally divide both sides by -7

[tex]\frac{-7x}{-7} =\frac{21}{-7} \\x=-3[/tex]

Answer:

x = -3

Step-by-step explanation:

First, we compute -5(x + 7). -5(x + 7) = -5x - 35. Plugging this into the equation, we have -5x - 35 = -14 + 2x Next, we combine like terms by moving all terms with the variable x to the left side. We have -5x - 2x = -14 + 35. We simplify the equation into -7x = 21. Divide 21 by -7, and we get x = -3.

Answer:

17%

Step-by-step explanation:

Percent decrease

[tex] = \frac{72000 - 60000}{72000} \times 100 \\ \\ = \frac{12000}{72000} \times 100\\ \\ = \frac{1200000}{72000} \\ \\ = 16.67 \% \\ \\ \approx \: 17 \%[/tex]

Answer: The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]

Step-by-step explanation:

Let x be the total distance to grandmother's house .

As per given,

Distance traveled on Saturday = [tex]\dfrac58x[/tex]

Remaining distance = [tex]x-\dfrac58 x[/tex]

[tex]=\dfrac38x[/tex]

Distance traveled of Sunday = [tex]\dfrac13[/tex] of Remaining distance

= [tex]\dfrac13\times\dfrac{3}{8}x[/tex]

= [tex]\dfrac18 x[/tex]

The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]

Answer:

C.

Step-by-step explanation:

It says from least to greatest. You start off looking at the whole numbers and 1 is the least. Your going to start at 1 2/5 (that rules off A and B). The next number you need to compare is 3/10 and 5/8. Since 5/8 is bigger than 3/10 the answer would be C.

Answer:

c y=1/2x+40

because it's positive (up). /

Answer:

58 degrees

Step-by-step explanation:

By looking at the diagram we can see that angle DCE is an outside angle

There is a special relationship between the outside angle and the arcs it intercepts

The theorem states that the outside angle is equal to half the difference of the intercepted arcs

In other words [tex]outside angle= \frac{arc AC - arc BD (the difference of the arcs)}{2}[/tex]

Knowing this formula we can solve for DCE

So it would be [tex]angle DCE= \frac{238-arcDE}{2}[/tex]

Well we do not know what arcDE is

Since we are given that the other arc is 238 we can take 238 and subtract is from 360

this will give us 122

so you have angle DCE= 238-122/2

238 minus 122 is 116

Angle DCE-=116/2

Angle DCE=58 degrees

There are other ways you can do this but this is just one of them

(2;-2)

therefore the coordinates of the mi

Step-by-step explanation:

X=(X+X)/2

X=(-1+5)/2

X=2

y=(y+y)/2

y=(1-5)/2

y=-2

therefore the coordinates of the midpoint is (2;-2)

Answer:

The correct answer would be A

Step-by-step explanation:

Answer:

x=36.08

Step-by-step explanation:

Given: From the given triangle DEF, ∠E=[tex]90^{0}[/tex]

DF=55

and DE= x

To find the value of x

According to trigonometry rule,

[tex]\frac{x}{55} =cos49^{0} \\x=55(cos 49^{0} )\\x=55(0.656)\\x=36.08[/tex]

Therefore, the value of x will be 36.08

Answer: I think it's 163

Step-by-step explanation:

it's multiplied by 3's

Answer:

Slope is - 4

Step-by-step explanation:

The slope of the line will be (-16-(-8))/(-8-(-10))=-8/2=-4

Answer:

-4

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

   = ( -16 - -8)/(-8 -  -10)

   = (-16+8)/ (-8+10)

   = -8/2

  - 4

Answer:

2r² - 60r - 45 = 0

Step-by-step explanation:

Hang on this is going to be convoluted

------------------------------

Area of pond

a = πr²

Area of path

a = πr²/10

Combined Area

a = πr² + πr²/10

a = π(r² + r²/10)

---------------------------

The Combined Area can also be expressed as

a = π(r + 1.5)²

a = π(r² + 3r + 2.25)

-----------------------------

Set the areas equal

π(r² + r²/10) = π(r² + 3r + 2.25)

Divide both sides by π

r² + r²/10 = r² + 3r + 2.25

Subtract r² from both sides

r²/10 = 3r + 2.25

Multiply both sides by 20

2r² = 60r + 45

Subtract 60r + 45 from both sides

2r² - 60r - 45 = 0

The lengths of the horizontal sides of the science class is larger than the

length of the horizontal side of the math class.

Reasons:

The given vertices of the science classroom are;

(-3·x₁, y₁), (-3·x₂, y₂), (-3·x₃, y₃), and (-3·x₄, y₄)

The coordinates of the vertices math classroom are;

(x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄)

Whereby x₁ = x₄, we have;

Length of the vertical side of the rectangular math class = y₁ - y₄

Length of the horizontal side, [tex]L_M[/tex] = x₂ - x₁

Similarly;

The length of the horizontal side of the science class is, [tex]L_S[/tex] = -3·x₂ - (-3·x₁)

Therefore;

[tex]L_S[/tex] = 3·(x₁ - x₂) = [tex]\mathbf{3 \cdot L_M}[/tex]

The length of a side of the science is three times the length of the side of

the math class, which gives that the dimensions of the science class are not

the same as the the dimensions of the math class.

Therefore;

The science class and the math class are not congruent

Learn more about non-rigid transformation here:

https://brainly.com/question/2396426

option C is correct because a line bisecting parallel lines makes the same angle on each line at the point of intersection

so they all will make 61°

Answer:

35, 67 and 78

Step-by-step explanation:

the angles are:

n, 2n-3 and 2n+8

there are 180 degrees in a triangle, so adding those terms together will give us 180

5n + 5 = 180

180 - 5 = 175

5n = 175

175 / 5 = 35

n = 35

now we have n we can put it in to the formula we have for the angles at the start:

n = 35

2n - 3 = 67

2n + 8 = 78

so the angles are

35, 67 and 78

Answer:

25 because I need to use mayh

Answer:

D) x = 4

Step-by-step explanation:

18 - 4x = 10 - 2x

10 - 2x = 18 - 4x

10 - 2x + 4x = 18 - 4x + 4x

10 + 2x = 18

10 - 10 + 2x = 18 - 10

2x = 8

2x ÷ 2 = 8 ÷ 2

x = 4

Answer:

28 square units

Step-by-step explanation:

count the middle and edgr squares then u can just put the parts of the square together

Answer: hello the views attached to your question is missing hence I will provide a more general answer based on the scope of your question

answer :

a) 8 unit cubes

b) 1 unit cube

Step-by-step explanation:

The number of views a solid figure can have are : Top view , Front view and side view  and The greatest number of unit cubes in a solid depends on the side length of the unit cube

a) For a unit cube with side length half ( 1/2) the Unit length of the given solid the greatest number of unit cubes = 8  while

b) The least number of unit cube = 1  

A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.

A rotation preserves lengths of segments.

A rotation preserves measures of angles. Step-by-step explanation:

You Welcome :)!

Answer:

30 for the son 60 for the dad

Step-by-step explanation:

Take away 15 from the son and dad you get 45 and 15 which is 1/3 before t that was 15 years ago which makes it 30 for the son and 60 for the dad

Answer:

SA=96

Step-by-step explanation:

formula for triangular prism=bh+l(s1+s2+s3)

3*4/2*2=12

4*7=28

3*7=21

5*7=35

12+28=40+21=61+35=96