Franklin uses the distributive property to write an expression equivalent to 18 + 36. Which of the following best represents Franklin's expression?
18(1+ 4)
18(2 +2)
6(2+6)

Answer:

yes

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y = - 7 is a horizontal line parallel to the x- axis.

A line perpendicular to it must therefore be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 3, - 8) with x- coordinate - 3, then

x = - 3 ← equation of perpendicular line

Answer:

The 1st and the 3rd one

Step-by-step explanation:

2.3+(-2.3) ➡ 2.3 -2.3 = 0 ,so this option is correct

-3.7+(-4.1) ➡ -3.7 - 4.1 = -7.8 so this option isn't correct

-2.6-(-12/4) ➡-2.6 + 3 = 0.4 this option is also correct

(5/2)+(-2.5) ➡ 5/2 -5/2 = 0 this  would be undefined because we can't divide 0 by 2 or any other rational numbers

E.72-(-100) ➡72+100= 172  this option is incorrect because 172 is positive

Answer:

it will be b

Step-by-step explanation:

Answer:

Rs240 000

Step-by-step explanation:

Let the length and breadth of the rectangular field be represented by l and b respectively.

Thus,

l = 3b ............. 1

Perimeter of a rectangle = 2(l + b)

The perimeter of the given rectangle = 800 m, so that;

800 = 2(l + b)

l + b = [tex]\frac{800}{2}[/tex]

       = 400

l + b = 400 ............... 2

But, l = 3b. So that,

3b + b = 400

4b = 400

b = [tex]\frac{400}{4}[/tex]

   = 100

b = 100 m

l = 3b

 = 3 x 100

l = 300

The length of the rectangular field is 300 m, while its breadth is 100 m.

Area of the rectangular field = l x b

                        = 300 x 100

                        = 30 000

Area of the rectangular field is 30 000 [tex]m^{2}[/tex].

Cost of digging the ground at the rate of Rs8 per [tex]m^{2}[/tex] = Rs8 x 30 000

                                            = Rs240 000

Answer: x/2+5 years old

Step-by-step explanation:

His sister would be x/2+5 years old. x/2 is his sisters age right now, and +5 is  years later!

Answer:

x/2+5 years old

Step-by-step explanation:

Answer:

62.5

Step-by-step explanation:

From the question, we ware told that triangle ABC is similar to XYZ

Hence Aabc/Axyz = AB/XY

Substitute the given values

25/16 = AB/40

Cross multiply

16AB = 40 * 25

16AB = 1000

AB = 62.5

Hence the length of AB is 62.5

Answer:

(-2,4) , (0,5) , (2,6) , (4,7)

Step-by-step explanation:

you just substitute every value of x in the equation and you get y

The remaining values of the table are 4,  5, 6, 7.

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

[tex]Y=\frac{X}{2} +5[/tex]

And,

The table is given,

X | -4, -2, 0, 2, 4

Y |  3,   ?,  ?, ?, ?

Now,

To complete the table,

Put the given values of X in the given expression,

Now,

For, X = -2,

[tex]Y=\frac{X}{2} +5=\frac{-2}{2} +5=-1+5[/tex]

Y = 4,

Now,

For, X = -0,

[tex]Y=\frac{X}{2} +5=\frac{0}{2} +5=0+5[/tex]

Y = 5,

Now,

For, X = 2,

[tex]Y=\frac{X}{2} +5=\frac{2}{2} +5=1+5[/tex]

Y = 6,

Now,

For, X = 4,

[tex]Y=\frac{X}{2} +5=\frac{4}{2} +5=2+5[/tex]

Y = 7,

So, the complete table is ,

X | -4, -2, 0, 2, 4

Y |  3,  4,  5, 6, 7

Hence, we can say that the remaining values of the table are 4,  5, 6, 7.

To know more about expression click here

https://brainly.com/question/14083225

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Answer:

a possible equation could be 8f = 104

Step-by-step explanation:

8 is the price of each ticket

f is the amount of friends

104 is the total

Answer: 1.21426567 • 10^-6

or 1/823543

Step-by-step explanation:

Answer:

ABCD is a curve, made up by line segments. AB=2cm, BC=4cm, CD=3cm.

Can AD be:

1) 1cm

2) 4cm

3) 10cm

Step-by-step explanation:

3

Answer:

I'll try to explain it as best as I can.

The input's numbers do not match the output's numbers. Therefore, the graph is linear.

Answer:

1 a = 70%

b 6.5 times

c  green = 16%

2.  ?????  Very poorly worded question

2. a 54%

b. 46%

c. 70%

d.  27%

Step-by-step explanation:

1. Students in a class were asked to tell their favorite color.

a. What percent said red, blue, or yellow? __% said red, blue, or yellow.  

red is .26

blue is .40

yellow is .04

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

               .70   = 70 %

b. How many times more students said red than yellow?

red  .26

yellow is .04

.26/.04 =  6.5 times

c. What percent of students said green? __% said green.

The circle must total 100 %

Red + blue + yellow + purple + green = 100

26+     40 +     4           + 14     +  green = 100

84 + green = 100

Subtract 84 from each side

84-84 + green = 100-84

green = 16

2. Which two methods could be used to find the percent of students who said green?

We can either convert the percents to decimals or the decimals to percents

The total percents must equal 100%

The total decimal must equal 1

a. Find the sum of the percents given in the circle graph.

If they only want the ones written on the graph as percents

(14+40) = 54%

b. Find the sum of the percent forms of the numbers given in the circle graph. Subtract the result from 100%.

100 - 54% = 46%

c. Find the sum of the decimal forms of the numbers given in the circle graph. Subtract that sum from 1. Change the result to a percent.

.26+.04 = .3

1-.3 = .7

70%

d. Find the sum of half of the percents given in the circle graph. Subtract that total from 50%.

1/2 (46%) = 23%

50 -23 = 27%

Answer:

3:43.13

Step-by-step explanation:

Answer:

18 miles per hour

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

I've never explained multiplication but here we go:

Multiplication is literally repeated addition

So 16*4 would just be 16+16+16+16 which we can do the addition out and get 64

We can also do 4 sixteen times and do 4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4

If we add that up, we'll get 64

We can also do distributive property, so we do 4^15 which is 60 and then we do 4*1 which equals 4, then we do 60+4 to get 64. The equation will look like this:

4(15+1)

You can always just use a calculator but you don't learn from doing that

You can also do it how they teach it to you in school which looks like this

2

16                                                                                                                          x4                                                                                                                             ----                                                                                                                        64

Let me know if you have any questions

Answer:

20

Step-by-step explanation:

2x3=6, 5x4=20, 6-6=0, 20+0=20

Answer:

i looked it up and got 180/1 sorry if its not right

Step-by-step explanation:

Answer:180

Step-by-step explanation:

To divide by the fraction, multiply by the reciprocal of that fraction.

36 times 5 =180

180

Answer:

A

Step-by-step explanation:

A is equal to 5d-5

I just went through all eh choices

It can’t be b or c becuase when distributed, it automatically is -5d+25 or vice versa with a different sign so their out

D is impossible becuase you can’t jsut flip a subtraction problem

And A is possible because adding a negative basically means subtracting so if flipped The signs have to change

Answer:

Since he USES 4/9th of the dough, what is left is 1-4/9=9/9-4/9=5/9 In math, the word 'of' can translate to 'multiplied by' therefore 5/9 OF the 5pounds of douch left can translate to: 5/9*5=25/9 pounds of dough left (about 2.7 pounds)

Answer:

do you mean this 2/x=16

or this 2^x=16

Answer:

for 6: -2x+30

I dont know for # 8

Step-by-step explanation:

to distribute, you have to multiply -3 by x and -10.

-3(x) - -3(10) + x =

-3x + 30 + x:

then you have to add common terms

-3x + x = -2x

then replace that in your equation to get:

-2x +30

Answer:

XZ = 36 cm, BC = 12 cm

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{XZ}{AC}[/tex] = [tex]\frac{XY}{AB}[/tex] , substitute values

[tex]\frac{XZ}{9}[/tex] = [tex]\frac{16}{4}[/tex] = 4 ( multiply both sides by 9 )

XZ = 36 cm

and

[tex]\frac{BC}{YZ}[/tex] = [tex]\frac{AB}{XY}[/tex]

[tex]\frac{BC}{48}[/tex] = [tex]\frac{4}{16}[/tex] ( cross- multiply )

16BC = 192 ( divide both sides by 16 )

BC = 12 cm

Answer:

See Below.

Step-by-step explanation:

In the given figure, AP = BP = PC.

And we want to prove that ∠ABC is a right angle.

Since AP = BP and BP = PC, we can create two isosceles triangles: ΔAPB and ΔCPB.

By the definition of isosceles triangles, in ΔAPB, ∠PAB and ∠PBA are equivalent. Let the measure of each of them be x°.

Likewise, in ΔCPB, ∠PCB and ∠PBC are equivalent.

And since AP = BP = PC, each of the angles∠PCB and ∠PBC will also be equivalent to x°.

And since the sum of the interior angles of a triangle total 180°, we acquire:

[tex]\angle PAB+\angle PBA+\angle PCB+\angle PBC=180[/tex]

Since they are all equivalent:

[tex]4x=180[/tex]

Hence:

[tex]x=45^\circ[/tex]

∠ABC is the sum of ∠PBA and ∠PBC, each of which measures 45°. Hence:

[tex]\angle ABC=\angle PBA+\angle PBC=45+45=90^\circ[/tex]

Answer:

this is your answer look it once.

Answer:

It's 398

Step-by-step explanation.

Diameter of 8.

height of 12.

8 - .75 - .75= 6.5

6.5/2 = 3.25

3.25 x 3.25 x 12 x 3.14 = 397.995

round to the nearest whole number and you get

398

Take the diameter (8) an subtract is by both sides of the walls (0.75 each wall) that gives you 6.5. Take that 6.5 and half that, because you need to have the radius to solve volume problems, giving you 3.25.  Then multiply 3.25 by 3.25 together ( I know it seems redundant but it just works easier this way) This gives you 10.5625. After that take 10.5625 then multiply it into 12, being the height, which gives you 126.75. Finally take 126.75 and multiply that into 3.14 (pie) giving you the answer.

The approximate inside volume of the pipe is 398 cubic inches.

We must use the Volume formula for a right Cylinder to calculate the approximate Inside Volume of the pipe, which is described below:

[tex]V = \pi \cdot (r-t)^{2}\cdot h[/tex] (1)

Where:

[tex]V[/tex] - Inside volume, in cubic inches.

[tex]r[/tex] - Radius of the iron pipe, in inches.

[tex]t[/tex] - Wall thickness of the iron pipe, in inches.

[tex]h[/tex] - Height of the cylinder, in inches.

If we know that [tex]r = 4\,in[/tex], [tex]t = 0.75\,in[/tex] and [tex]h = 12\,in[/tex], then the approximate inside volume of the pipe:

[tex]V = \pi\cdot (4\,in-0.75\,in)^{2}\cdot (12\,in)[/tex]

[tex]V \approx 398.197\,in^{3}[/tex]

The approximate inside volume of the pipe is 398 cubic inches.

Please see this question related to the Volume of Cylinders: https://brainly.com/question/15891031