Complete the explanation of how an estimate helps you to place the decimal point when multiplying 1.8 × 5.4.

Answer:

The answer is 3 children per family.

Step-by-step explanation:

This is a fraction equal to

6 children ÷ 2 familys =3 children per family.

Just took the quiz.

Answer:

m into5

Step-by-step explanation:

Answer:

ANSWER 4:3

Step-by-step explanation:

Given : A point P is 4/7 of the distance from M to N.

∴ Let the distance between M to N be d.

Also,  the point P partition the directed line segment from M to N .

Thus , MN = MP+PN

Now, the ration of MP to PN will be :-

∴ Point P partitioned the line segment MN into 4:3.

Given:

End points a line segment are (9,-8) and (-1,-4).

To find:

The equation of perpendicular bisector of given line.

Solution:

Slope of given line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m_1=\dfrac{-4-(-8)}{-1-9}[/tex]

[tex]m_1=\dfrac{-4+8}{-10}[/tex]

[tex]m_1=\dfrac{4}{-10}[/tex]

[tex]m_1=-\dfrac{2}{5}[/tex]

Product of slopes of two perpendicular line is -1.

[tex]m_1\times m_2=-1[/tex]

[tex](-\dfrac{2}{5})\times m_2=-1[/tex]

[tex]m_2=\dfrac{5}{2}[/tex]

So, slope of perpendicular bisector is [tex]\dfrac{5}{2}[/tex].

Perpendicular bisector passes through the midpoint of given endpoints.

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{9+(-1)}{2},\dfrac{(-8)+(-4)}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{-12}{2}\right)[/tex]

[tex]Midpoint=\left(4,-6\right)[/tex]

So, perpendicular bisector passes through (4,-6) and having slope [tex]\dfrac{5}{2}[/tex]. The equation of perpendicular bisector is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

[tex]y-(-6)=\dfrac{5}{2}(x-4)[/tex]

[tex]y+6=\dfrac{5}{2}(x)+\dfrac{5}{2}(-4)[/tex]

[tex]y+6=\dfrac{5}{2}x-10[/tex]

[tex]y=\dfrac{5}{2}x-10-6[/tex]

[tex]y=\dfrac{5}{2}x-16[/tex]

Therefore, the equation of perpendicular bisector is [tex]y=\dfrac{5}{2}x-16[/tex].

Answer:

cost of crab meals = $20

cost of vegetarian meals = $38

Step-by-step explanation:

Let

x = cost of crab meals

y = cost of vegetarian meals

Troop A

12 crab meals and 23 vegetarian meals, with total receipts of $916.

12x + 23y = 916

Troop B

12 crab meals and 12 vegetarian meals, bringing in a total of $696

12x + 12y = 696

12x + 23y = 916 (1)

12x + 12y = 696 (2)

Subtract (2) from (1)

23y - 12y = 916 - 696

11y = 220

y = 220/11

= 20

y = 20

Substitute y = 20 into (1)

12x + 23y = 916

12x + 23(20) = 916

12x + 460 = 916

12x = 916 - 460

12x = 456

x = 456/12

= 38

x = 38

cost of crab meals = $20

cost of vegetarian meals = $38

Answer: Mark up percent = 20%

Step-by-step explanation:

Given: Cost price of each T-shirt = $5.00

Amount required = $450

Total students = 75

Market price for each T-shirt to raise the required amount = (Amount required ) ÷ 75

= $450 ÷ 75

= $ 6

Mark up percent = [tex]\dfrac{\text{Market price - Cost price}}{\text{Cost price}}\times100[/tex]

[tex]=\dfrac{6-5}{5}\times100\\\\=20\%[/tex]

Hence, Mark up percent = 20%

[tex]the \: surface \: area \: of \: both \: cone = 2(\pi{rl} + \pi{ {r}^{2} } ) \\ total \: surface \: area \: of \: both \: cone = 2(\pi{( \frac{1.4}{2} )(2.7)} + \pi{ {( \frac{1.4}{2} )}^{2} } ) \\ total \: surface \: area \: of \: both \: cone = \boxed{4.76\pi} \\ \\ the \: surface \: area \: of \: the \: cylinder = 2\pi{rl} +2 \pi{ {r}^{2} } \\ the \: surface \: area \: of \: the \: cylinder = 2\pi{( \frac{1.4}{2} )(7.5)} +2 \pi{ {( \frac{1.4}{2} )}^{2} } \\ the \: surface \: area \: of \: the \: cylinder = \boxed{11.48\pi} \\ \\ therefore \: the \: surface \: area \: of \: the \: composite \: object \: = \boxed{4.76\pi + 11.48\pi} \\ the \: surface \: area \: of \: the \: composite \: object \: = \boxed{16.24\pi}[/tex]

Answer:

the pic has the answer

Explanation:

The relationship between the sine and cosine of ∠A and the sine and cosine of ∠B for given angles, sin(A) =  cos(B) and

sin(B) = cos(A)

"Two or more angles are complementary if their sum is 90° "

For given question,

∠A and ∠B are complementary angles.

⇒ ∠A + ∠B = 180°

For ∠A = 15° the measure of ∠B is 75°

For ∠A = 30° the measure of ∠B is 60°

For ∠A = 45° the measure of ∠B is 45°

For ∠A = 60° the measure of ∠B is 30°

For ∠A = 75° the measure of ∠B is 15°

So, the sine and cosine of ∠A and ∠B would be,

∠A      ∠B      sin(A)    cos(A)     sin(B)     cos(B)

15°       75°     0.25       0.97       0.97       0.26

30°      60°     0.5         0.87       0.87        0.5

45°      45°     0.71         0.71        0.71        0.71

60°      30°     0.87        0.5         0.5         0.87

75°      15°      0.97        0.26       0.26       0.97

From above records, we can observe that  sin(A) =  cos(B) and

sin(B) = cos(A)

Therefore, the relationship between the sine and cosine of ∠A and the sine and cosine of ∠B for given angles, sin(A) =  cos(B) and

sin(B) = cos(A)

Learn more about complementary angles here:

https://brainly.com/question/5708372

#SPJ2

Answer:

JL=22x-6

Step-by-step explanation:

We have JK=KL

Answer:

200%

Step-by-step explanation:

if you substitute in numbers you'll find this as the answer.

as an example:

suppose the sides of the rectangle was 1 unit long.

area before change: 1 * 1 = 1

then, the length gets increase by 50% making it 1.5 ( 50% of 1 is 0.5, then you add it onto 1, 1 + 0.5 = 1.5 )

the width gets increased by 100% making it 2 ( 1 + 1 = 2 )

new area: 1.5 * 2 = 3

1 increased by 200% is 3, therefore the answer is 200%

Answer:

Yes

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

y < -3/4x - 1

Solution set (-1, -5)

Step 2: Check

Here we see that -1/4 is indeed bigger than -5.

∴ The ordered pair is a solution.

Answer:

[tex]\boxed{x = -7~~and~~ y =-7}[/tex]

Step-by-step explanation:

y = 3x + 14

y = x

.

x = 3x + 14

3x - x = -14

2x = -14

[tex]x = \frac{-14}{2}[/tex]

x = -7

.

y = x

y = -7

Answer:

x = 7 and y = -7

Step-by-step explanation:

use substitution method

Answer:

equation form: x=-131/8y -31/40

Step-by-step explanation:

this is addition/elimination

Step-by-step explanation:

(-2x+10y=25) × 2.5

-5x+25y=62.5

x-25y=3

-5x+x+25y-25y=62.5+3

-4x=65.5

x =65.5÷4

=16.375

16.375-25y=3

-25y=3-16.375

-25y=-13.375

y=- 13.375÷-25

=0.535

i tried.

Answer:

8

Step-by-step explanation:

you have to add 25 on both sides then you get 5x<40 then you divide 40 by 5 and you get 8

hope this helps dont 4get to like and star

-mercury

Step-by-step explanation:

4/3 = -6e - 5/3

6e = -4/3 - 5/3

6e = -9/3 = -3

e = -0.5

Answer:

The equation is always false

Step-by-step explanation:

Answer:

8.4 kg

Step-by-step explanation:

First, find how much waste is created in a week:

Multiply 2 by 7, since they create 2 kg of waste each day:

2(7)

= 14 kg

Then, find 60% of this:

Multiply 14 by 0.6:

14(0.6)

= 8.4

So, the amount of compostable waste created by 1 person in a week is approximately 8.4 kg

The amount of compostable waste that could be generated by one individual in a week would be closest to 8.4kg.

Using this formula
Compostable waste amount=Kg of waste× Number of days in a week× Municipal solid waste percentage

Where:
Kg of waste=2kg

Number of days in a week=7 days

Municipal solid waste percentage=60% or 0.60

Let plug in the formula

Compostable waste amount=2kg×7 days×0.60

Compostable waste amount=8.4 kg

Inconclusion the amount of compostable waste that could be generated by one individual in a week would be closest to 8.4kg.

Learn more about compostable waste here:https://brainly.com/question/25342752

Answer:

x=5

Y=0

Hope this helpssssssssssssssss

Answer:

x=1; y=13/5

Step-by-step explanation:

(I'm sure you can do given yourself)

<D=<B                 Def of parallelogram

8x+5=5y              Substitution

<a and <d is         Def of paralleogram

supplementary

3x+10=5y             Substitution

8x+5=5y                 Do system of equations

3x+10=5y                

8x+5=3x+10            they both equal 5y so set both the equations together

5x+5=10                  subtract 3x from both sides

5x=5                       subtract 5 from both sides

x=1                            divide by 5 on both sides

8(1)+5=5y                  plug in x to one of the previous equations

13=5y                         Simiplfiy

y=13/5                        

Answer:

11

Step-by-step explanation:

8+6=14

14-3=11

Answer:

slope = - [tex]\frac{3}{11}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, 7) and (x₂, y₂ ) = (6, 4)

m = [tex]\frac{4-7}{6+5}[/tex] = [tex]\frac{-3}{11}[/tex] = - [tex]\frac{3}{11}[/tex]

Answer:

j = 6

Step-by-step explanation:

1. What one needs to know

-Slope-intercept form

The formula of a line in slope-intercept form is;

y = mx + b

Where "m" is the slope. and "b" is the y-intercept.

2. Approach

The slope of the line is given. One has to solve for the y-intercept. Since a point on the line is given, one simply has to substitute in the point on the line and solve for b. The one substitutes in the other point with the unknown in it. One will then solve to find the unknown.

3. Finding "b"

It is given that this line has a slope of [tex]\frac{1}{5}[/tex], therefore, the equation of the line with the slope would look something like this;

y = [tex]\frac{1}{5}[/tex]x  + b

It is given that (-4, -8) is on the line, substitute this point in;

-8 = [tex]\frac{1}{5}[/tex](-4) + b

Solve;

-8 = [tex]\frac{1}{5}[/tex](-4) + b

-8 = - 0.8 + b

-7.2 = b

The complete formula of this line is;

y = 0.2(x) - 7.2

( in decimals )

4. Solve of "j"

Point (j, -6) is on this line, substitute it into the formula

y = 0.2(x) - 7.2

-6 = 0.2(j) - 7.2

Inverse operations;

-6 = 0.2(j) - 7.2

+7.2          +7.2

1.2 = 0.2(j)

/0.2   /0.2

6 = j

Answer:   -19+27

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

hope this helps!

Answer 2  2/19

there is you answer

Answer: 234,253.50

Work: I did 22 to the power of 4 first and I got 234256. I subtracted 2 which is 234254, and than took 1/2. So, the answer is 234253.50.

Answer:

60xyz

Step-by-step explanation:

Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest

Answer:

5 years

Step-by-step explanation:

Step one:

Given Information

Principal= $34,000

rate = 4.8%

SImple interest = $8,160

Required

The time T of the investment

Step two:

the expression for simple interest is

[tex]SI= PRT/100[/tex]

substitute

[tex]8160 = 34000*4.8*T/100[/tex]

cross multiply we have

[tex]8160*100= 34000*4.8*T\\\\816000= 163200T\\\\[/tex]

divide both sides by 163200

[tex]816000/163200= T\\\\T= 5 years[/tex]

Answer:

Step-by-step explanation:

$40 per day represents the slope

Finding the y-intercept:

The function is then:

Answer:

3

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Answer:

[tex]\frac{4}{5}[/tex]