Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Completely factor the following expressions.

Answer:

407/125

Step-by-step explanation:

3.256=3256/1000

814/500

407/125

Step-by-step explanation:

78/ 3

= 26

26 leaves will be in each book

hope it helps!

Answer:

26

Step-by-step explanation:

78/3=26

Answer:

00000

Step-by-step explanation:

please send the clear pic of the question

Answers:

===========================================

Explanation:

Triangle GJI and triangle PKH are similar triangles. The order of the letters is important because it tells us how the angles pair up.

The first letter of GJI is G, while the first letter of PKH is P. This means angles G and P pair up. They are congruent pair because similar triangles have congruent corresponding angles.

So,

G+P = 50

G+G = 50 .... plug in G = P

2G = 50

G = 50/2

G = 25

Both angle G and angle P are 25 degrees

Use angle I = 48 to help find angle J

G+J+I = 180

25+J+48 = 180

J+73 = 180

J = 180-73

J = 107

Angle J is 107 degrees

Since J and K are the second letters of GJI and PKH respectively, this means angle J = angle K = 107

Since I and H are the third letters of GJI and PKH respectively, we know that angle I = angle H = 48

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

Summary:

Answer:

Options A, C and D

Step-by-step explanation:

Option A

Angle p = 180° - 89.5° = 90.5° [Linear pair of angles]

If b║f and line a is a transversal line,

m∠p = 90.5° [Alternate exterior angles]

True

Option B

If B║D and line a is a transversal,

m∠q = 89.5° [vertically opposite angles]

∠q + 89.5° = 89.5° + 89.5° = 179°

But angles q and angle with measure 89.5° are the consecutive interior angles and their sum should be 180°.

So the given statement is False.

Option C

c║e

Since, m∠r = 91.5° [Vertically opposite angle]

And m∠r + 89.5° = 180° [Consecutive interior angles]

True.

Option D

c║d

Since, ∠r and ∠q are consecutive interior angles,

m∠r + m∠q = 180°

91.5° + 89.5° = 180°

True

Option E.

d║f

m∠s = 90.5°[Vertically opposite angles]

Since, ∠s and angle with measure 89.5° are the alternate interior angles,

So measure of angle s should be 89.5°.

Therefore, d║f is False.

Option F.

If e║f, angles with measures 89.5° and 90.5° should be equal.

But measures of both are different.

Therefore, e║f is False.

Options A, C and D are the correct options.

Answer:

66.25 fluid ounce

Step-by-step explanation:

Given that :

Capacity of original container = 53 fluid ounces

Percentage addition of new container = 25%

Capacity of new container :

Capacity of original container * ( 1 + percentage addition)

53 * ( 1 + 0.25)

53 * (1.25)

= 66.25 fluid ounce

Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.

So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 530 dollars.

The solution would still clear your concept though.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

c(x) = 18x -10

The slope-intercept form of the line equation

We know that the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

so

 c(x) = 18x - 10

comparing with the slope-intercept form of the line equation

Assuming the total cost i.e. c(x) = $530

In order to determine the value of x, set c(x) = 530

i.e.

530 = 18x -10

switch sides

18x - 10 = 530

add 10 to both sides

18x - 10 + 10 = 530 + 10

18x = 540

Divide 18 to both sides

18x/18 = 540/18

x = 30

Therefore, if you can buy x = 30 tickets if you pay 530 dollars.

Answer:

y=2x+10

Step-by-step explanation:

y is the height x is the number of years

It takes 9 years for it to reach 28ft

Answer:

VUT- FEG

QRS-QGF

Step-by-step explanation:

Answer:

11:29.

Step-by-step explanation:

10:47 - 11:00 is 13 minutes, which leaves 29 minutes. So then you add that to 11:00, 11:29.

Answer:11:29

Step-by-step explanation:

If Doug starts at 10:47 and sweeps for 42 minutes

First you add 42 minutes to the 47.

Remember there are 60 minutes in an hour.

So do 47+42=89

Next do 89-60 (because there are 60 minutes in an hour)

You get 29 minutes.

Add one to the 10

That makes 11:29

Answer: 1626815

Step-by-step explanation:

Answer:

264 cm^3

Step-by-step explanation:

ASAP

Complete question :

A dog needs 4/3 liters of water for 2/5 of a day. How many liters of water does the dog need for an entire day?

Answer:

10/3 litres

Step-by-step explanation:

Given that:

Amount of water needed for 2/5 of a day = 4/3 litres ;

An entire day = 1/ 1 of a day

Hence, If;

2/5 = 4/3 litres of water

1/1 = x

Cross multiply ;

(2/5)x = 4/3

2x /5 = 4/ 3

2x * 3 = 5 * 4

6x = 20

x = 20 /6

x = 10 /3 litres

Step-by-step explanation:

When x = 3,

6x² + 18x - 15

= 6(3²) + 18(3) - 15 = 54 + 54 - 15 = 93. (B)

Answer:

option b

Step-by-step explanation:

remove the parentheses

-6x+15 -2(4x+3)

collect like terms

-14x+15-6

subtract the numbers

15-6

-14x+9

Answer:

the answer is C

Step-by-step explanation:

by doing the distributive property

multiplay the -3 with the numbers in the parenthesis (2x-5) and the same with -2 and (4x +3)

the result will be -6x+15-8x-6 now you need to combine like terms

-6x-8x  15-6

-14x+9

Answer:

x

Step-by-step explanation:

2/3x+1/3x=x

Answer:

1

Step-by-step explanation:

2/3x + 1/3x

2+1/3x

3/3x

=x

one x value is 1

Step-by-step explanation:

There are 41 cards were in each card album.

Answer:

It will take 12years to triple itself

Step-by-step explanation:

let the sum of money=x

In 8years x becomes 2x

thus

2x-8years

Then 3x-?

Using ratio and proportion,

x=3/2×8years=12years

Step-by-step explanation:

7x^×2-16x-15

14x^-16x-15

Answer:

Total number of students = 200

The number of girls  = 90

Step-by-step explanation:

Girls = 45%

Boy = (100 - 45)% = 55%

Let the total students = x

Number of boys = 110

55% of x = 110

 [tex]\frac{55}{100}*x = 110\\\\ x = 110*\frac{100}{55}\\\\ x = 10 * \frac{100}{5}\\\\[/tex]

  x = 2 * 100

  x = 200 students

Girls = 45% of x

       [tex]= \frac{45}{100}*200[/tex]

        = 45 * 2

Girls = 90

Step-by-step explanation:

Answer:

??? is this all of the question?

Answer:

Step-by-step explanation:

Simplify fractions and multiply

Answer:

+ 2

Step-by-step explanation:

+ 3 + (- 1) = + 2

Answer:

solution here,

x+3x+80=180degree

4x+80=180

4x=180-80

x=100÷4

therefore

x=25

Answer:

A. 82

hope it helps....

Answer:

The equation of the parabola  ( y +3)² = 4 ( x-3)

Step-by-step explanation:

Step(i):-

we know that the focus of the parabola (h + a , k ) and directrix is   x = h - a

Given

 focus of the parabola (h + a , k ) = ( 4, -3 )

  Equating                h + a =4 ..(i)

                              and k =-3

Given directrix is   x = 2

                          h - a =2 ..(ii)

Adding (i) and (ii) equations , we get

                   h + a + h-a = 4+2

                      2 h = 6

                         h =3

   substitute h=3 in equation (i)

                h + a =4

               3 + a =4

                  a = 1

The length of Latus rectum 4a = 4(1) =4

Step(ii):-

The vertex ( h, k) = ( 3 , -3) and a = 1>0

Given directrix is x = h - a = 2 so the parabola axis is lie on X- axis and symmetric about x-axis

The equation of the parabola

( y - k )² = 4 a ( x - h )

( y - (-3))²= 4(1) ( x - 3 )

The equation of the parabola  ( y +3)² = 4 ( x-3)

Answer:

5

Step-by-step explanation:

it is the constant slope 5 over 1

                           El -1,5 qlero pasaría al otro lado positivo

                              Ahora, se suma 71.98 + 1.5 = 73,48

    El 8.35 qlero que está multiplicando, pasa al otro lado pero dividiendo

                                                    Dividimos

Answer:

The answer is 4,761

Answer:

$97.20

Step-by-step explanation:

you make the 8% into a decimal by moving the decimal to places to the left.

8%=0.08, Then you multiply that by the whole number of 90 dollars.

0.08 x 90 = $97.20

Total cost of the jacket with sales tax is given by the equation A = $ 97.20

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost of the jacket with the sales tax be A

Now , the equation will be

The cost of the jacket = $ 90

The sales tax percentage = 8 %

So , the sales tax amount = ( 8 / 100 ) x cost of the jacket

Substituting the values in the equation , we get

The sales tax amount = 0.08 x 90

The sales tax amount = $ 7.20

Now , the total cost of the jacket with the sales tax = cost of the jacket + sales tax amount

Substituting the values in the equation , we get

The total cost of the jacket with the sales tax A = 90 + 7.20

The total cost of the jacket with the sales tax A = $ 97.20

Hence , the total cost is $ 97.20

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

The correct answer is D.) ​|−14.6 − (−5.2)|

Step-by-step explanation: This is the case because we are first subtracting the value of the two numbers from each other. Then we're taking the absolute value so we can find distance, which is always expressed in a positive number.

Answer:

2 4/15 km

Step-by-step explanation:

We know from the above question that:

A hiker walks at a speed of 3 2/5 km per hour.

Step 1

Convert 40 minutes to hour

60 minutes = 1 hour

40 minutes = x

Cross Multiply

60x = 40

x = 40/60

x = 2/3hr

Step 2

How many km will the hiker walk in 40 min?

The above question can be calculated as:

1 hour = 3 2/5km

2/3 hour = x km

Cross Multiply

1 × x km = 2/3 × 3 2/5 km

x km = 2/3 × 17/5 km

x km = 34/15 km

x km = 2 4/15 km

Hence the hiker would walk 2 4/15 km in 4 minutes