10 points
Mr. Right spent $64.75 for five light fixtures and $12.50 for four light
switches. Each light fixture cost the same amount. How much did each
light fixture cost? *

Answer:

Step-by-step explanation:

$3.00      -       4 bagles  

     ÷2               ÷2

$1.50       -       2 bagles  

     ×3              ×3

$4.5        -       6 bagles  

Answer:

1 and 2

Step-by-step explanation:

√3 is ≈ 1.7

This is between 1 and 2

Answer: the perimeter is 26 feet squared. the area is 30 feet

perimeter is all sides added together:

10+10+3+3= 26

area is base times length

10×3=30

dont forget units

Answer:

x = 5

Step-by-step explanation:

3/5x = 1/2x + 1/2

collect like terms =

3/5x - 1/2x = 1/2

6x - 5x/10 =

x/10 = 1/2

2x = 10

x = 5

Answer:

-8

Step-by-step explanation:

-12r+4=100

100-4=96

-12r=96

96/-12=-8

Answer:

they received 2400 eggs.

Step-by-step explanation:

12 * 200 = 2400

The number of eggs did the store receive is 2400 eggs.

To find number of eggs.

science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers. An example of arithmetic is adding two and two together to make four.

Given that:

A dozen (commonly abbreviated doz or dz) is a grouping of twelve.

1 dozen= 12 eggs

1/2 dozen=6 eggs

So upon calculate the 200 dozen of egg, to multiply with  1 dozen of eggs,

200 dozen= 200*12=2400 eggs

So, the number of eggs did the store receive is 2400 eggs.

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Answer: 3/4  / 7/8

Step-by-step explanation:

= 3/4  * 8/7  = 24/28 = 6/7 gallons

This is the volume of juice  when the jar is full.

Answer:

6/7

Step-by-step explanation:

Answer:

[tex]\huge\boxed{|-12|\ is\ greater\ than\ |8|}[/tex]

Step-by-step explanation:

|-12| = 12

|8| = 8

So, the statement is :

|-12| is greater than |8|

Answer:

6 times as great

Step-by-step explanation:

8*10 to the power of 5

8*10 to the power of -1

Answer:

10^6

Step-by-step explanation:

● 8×10^5

● 8 × 10^(-1)

Divide the the first number by the second one

● 8×10^5/ 8×10^(-1) = 10^(5-(-1)) = 10^6

So 8×10^5 is greater 10^6 times than 8×10^(-1)

Answer:

d=√73=8.544

Step-by-step explanation:

Find distance (d) between market (0,8) , court house(6,5) and library(6,-1)

d between two pint is :

d=√(x2-x1)²-(y2-y1)²

d between market and court house:

d=√(6-0)²+(5-8)²

d=√36+9=√45 = 6.7082 ≅6.71 rounded to the nearest hundredths

d between courthouse and the library:

d=√(6-6)²+(-1-5)²

d=√36=6

the distance that Runner A ran=6.71+6=12.71

the distance from the library to the school:

d=√(6-(-2))²+(-1-(-4))²

d=√8²+3²

d=√64+9

d=√73=8.544 ( rounded to the nearest hundredth)

Runner B went  8.544 further than Runner A before stopping at school ( which is the distance between the library and the school.

Answer:

2/5

Step-by-step explanation:

cross simplify the 4 and 2

the equation becomes:

2/5 • 1/1 = 2/5

Answer:

2/5

Step-by-step explanation:

you just cross multyply so 4x1 is 4 and 5x2 is 10 and you get 4/10 and then you simplify it by 2 and that will get you 2/5

The age of marcus is 10 years old.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that Yolanda's age is 5 years less than twice Marco's age. If Yolanda is 15 years old, then we have;

The reason for "5 years less", means we subtract 5, but from what exactly.

Now the next portion of the sentence says "twice Marco's Age" therefore, its 2x so we must subtract 5 from 2x.

15 = 2x - 5    

Now we just solve for x.

15 = 2x - 5    

Add 5 to both sides.

20 = 2x          

Divide by 2 on both sides;

10 = x            

Thus As a result, Marcus is 10 years old.

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Answer:

The next number is 1 and the pattern is divide by 4.

Step-by-step explanation:

256÷4=64

64÷4=16

16÷4=4

4÷4=1

Answer:

Step-by-step explanation:

Geometric sequences have a common ratio between terms.  TRUE

Geometric sequences are restricted to the domain of natural numbers.  FALSE

Geometric sequences can have a first term of 0.  FALSE.  If this were true, then every member the sequence would also be 0.

The correct statements are,

Geometric sequences have a common ratio between terms.

A geometric series is one which has a constant ratio between successive terms.

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Answer:

The exception is 1

Step-by-step explanation:

The cube root of 1 is 1, and the square root of 1 is also 1..

hence, 1 has cube root equal to square root

Answer:

B) -12.4 + 20.6s

Step-by-step explanation:

width = (3.1s - 1.6) cm

Length = (7.2s - 4.6) cm

Perimeter of rectangle = 2* (length +width)

                                      = 2 *(7.2s - 4.6 + 3.1s - 1.6)    {add like terms}

                                      = 2* (7.2s + 3.1s - 4.6 - 1.6)

                                      = 2*( 10.3s - 6.2)   {distributive property}

                                      = 2*10.3s - 2*6.2

                                      = 20.6s - 12.4

Answer:  see proof below

Step-by-step explanation:

Use the Sum/Difference Identity: tan (A + B) = (tanA + tanB)/(*1 - tanA · tanB)

Scratchwork:

tan (50) = tan (40 + 10)

             [tex]= \dfrac{\tan 40+\tan 10}{1-\tan 40\cdot \tan 10}[/tex]

tan 50 (1 - tan 40 · tan 10) = tan 40 + tan 10

tan 50 - tan 50 · tan 40 · tan 10 = tan 40 + tan 10

tan 50 = tan 40 + tan 10 + tan 50 · tan 40 · tan 10

Use the Reciprocal Identity: cot A = 1/ tan --> cot A · tan A = 1

Proof LHS → RHS

LHS:                           tan 50    - tan 40

Substitute tan 50:     tan 40 + tan 10 + (tan 50 · tan 40) · tan 10     - tan 40

Simplify:                     tan 10 + (tan 50 · tan 40) · tan 10

Reciprocal Identity:   tan 10 + tan 10

Simplify:                    2 tan 10

LHS = RHS:  2 tan 10 = 2 tan 10    [tex]\checkmark[/tex]

Answer : The incorrect step is, (A) step 1: -10 + 6x > 8

Step-by-step explanation :

The given expression is:

[tex]-4(\frac{5}{2}+\frac{3}{2}x)>8[/tex]

Now solving this expression step by step.

First -4 distributed over parentheses.

[tex](-4\times \frac{5}{2})+(-4\times \frac{3}{2}x)>8[/tex]

Now solving bracket term, we get:

[tex]-10-6x>8[/tex]

Now taking like terms together, we get:

[tex]-6x>8+10[/tex]

[tex]-6x>18[/tex]

[tex]-x>3[/tex]

Now multiplying this expression by (-1), we get:

[tex]x>-3[/tex]

Thus, the incorrect step is, (A) step 1: -10 + 6x > 8

Answer:

A. Step 1: -10 + 6x > 8

Step-by-step explanation:

The correct way:

Step 1: Multiply both sides by [tex]-1[/tex] (reverse the inequality)

[tex]\left(-4\left(\frac{5}{2}+\frac{3}{2}x\right)\right)\left(-1\right)<8\left(-1\right)[/tex]

Step 2: Simplify

[tex]4\left(\frac{5}{2}+\frac{3}{2}x\right)<-8[/tex]

Step 3: Divide both sides by 4

[tex]\frac{4\left(\frac{5}{2}+\frac{3}{2}x\right)}{4}<\frac{-8}{4}[/tex]

Step 4: Simplify

[tex]\frac{5}{2}+\frac{3}{2}x<-2[/tex]

Step 5: Subtract [tex]\frac{5}{2}[/tex] from both sides

[tex]\frac{5}{2}+\frac{3}{2}x-\frac{5}{2}<-2-\frac{5}{2}[/tex]

Step 6: Simplify

[tex]\frac{3}{2}x<-\frac{9}{2}[/tex]

Step 7: Multiply both sides by 2

[tex]2\cdot \frac{3}{2}x<2\left(-\frac{9}{2}\right)[/tex]

Step 8: Simplify

[tex]3x<-9[/tex]

Step 9: Divide both sides by 3

[tex]\frac{3x}{3}<\frac{-9}{3}[/tex]

Step 10: Simplify

[tex]x<-3[/tex]

Answer:

D.) u^2 - u-6 = 0 where u = (x-4)

Step-by-step explanation:

Answer: D

Step-by-step explanation:

edge 23

Complete question is;

How many 10 - digit numbers are there, such that the sum of the digits is divisible by 2?

Answer:

There are 4500000000 ten digit numbers whose sum is divisible by 2.

Step-by-step explanation:

Since we are dealing with 10 digit numbers, the first 10 digit number whose sum is divisible by 2 is; 1000000001.

While the last 10 digit number whose sum is divisible by 2 is 9999999999.

Now,to find how many 10 digit numbers whose sum are divisible by 2, we will simply divide the difference of both numbers by 2 and then add 1 to the answer. This is because subtracting the minimum from the maximum gives us the number of 10 digit numbers we have. Then dividing by 2 gives the number of ten digit numbers with sum divisible by 2 in between. Then adding 1 to the result to cover the number not included gives;

((9999999999 - 1000000001)/2) + 1 = 4500000000

Answer:

y = 2x - 4

Step-by-step explanation:

Given point (1, -2) so x = 1, y = -2

Just plug in and verify

y = x + 5

y = 2x + 1

y = 2x - 4

y = x -2

Answer:

2/3

Step-by-step explanation:

Y2-Y1/X2-X1

8-2/5-(-4)

6/5+4

6/9

Slope: 2/3

answer: 2/3

step by step:

slope(m)=[tex]y2-y1/x2-x1[/tex]

              =8-2/5+4

              = 6/9

              =2/3

Answer:

B(-5,5).

Step-by-step explanation:

It is given that midpoint of AB is M (-6,1).  

Coordinates of A are (-7,-3 ).

We need to find the coordinates of point B.

Let coordinates of point B are (a,b).

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

Midpoint of AB is

[tex]Midpoint=\left(\dfrac{-7+a}{2},\dfrac{-3+b}{2}\right)[/tex]

[tex](-6,1)=\left(\dfrac{-7+a}{2},\dfrac{-3+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{-7+a}{2}=-6[/tex]

[tex]-7+a=-12[/tex]

[tex]a=-12+7[/tex]

[tex]a=-5[/tex]

[tex]\dfrac{-3+b}{2}=1[/tex]

[tex]-3+b=2[/tex]

[tex]b=2+3[/tex]

[tex]b=5[/tex]

Therefore, the coordinates of B are (-5,5).

Answer:

The ratio of dogs to mice is

6 to 2; 6:2; 6/2

The ratio of cats to dogs is

4 to 6; 4:6; 4/6

Hope this helped~

Your smart local crackhead

The ratio of the dogs, mice, and cats is 3 : 1 : 2.

A ratio indicates the number of times one number contains another.

Given that, there are 6 dogs, 2 mice, and 4 cats.

The ratio of the collection is:

dogs : mice : cats

  6    :    2    :   4

= 3    :    1     :   2

Hence, the ratio of the dogs, mice, and cats is 3 : 1 : 2.

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Answer:

d

Step-by-step explanation:

Here is a pic

Hope this helps

Answer:

No shes wrong

Step-by-step explanation:

IF you divide 1800 divided by 9 you will get 200 not 20 so she is wrong.

Answer:

Step-by-step explanation:

[tex](-8,2)=(x_1 ,y_1)\\(-4 ,-3) = (x_2 ,y_2)\\\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-2}{x-(-8)}= \frac{-3-2}{-4-(-8)}\\ \\\frac{y-2}{x+8}= \frac{-5}{-4+8} \\ \\\\\frac{y-2}{x+8} = \frac{-5}{4}\\ \\Cross\:Multiply \\4(y-2) = -5(x+8)\\\\4y-8 =- 5x-40\\\\4y = -5x-40+8\\\\4y =- 5x-32\\\\\frac{4y}{4} = \frac{-5x}{4} + \frac{-32}{4} \\\\y = -\frac{5}{4}x-8[/tex]

Answer: for x=-2

y+6(-2)=11

y+(-12)=11

y=11+12

y=23

    for x=0

y+(6*0)=11

y=11

    for x=4

y+6(4)=11

y+24=11

y=11-24

y= -13

Step)-by-step explanation:

you just remplace x with his value and solve y

[tex]\circ\tt\:(a+b)(a^2-ab+b^2)[/tex]

[tex]\circ\tt\:a(a^2-ab+b^2)+b(a^2-ab+b^2)[/tex]

[tex]\circ\tt\:(a^3-a^2b+ab^2)+(a^2b-ab^2+b^3)[/tex]

[tex]\circ\tt\:a^3+(a^2b-a^2b)+(ab^2-ab^2)+b^3[/tex]

[tex]\circ\tt\:a^3+0+0+b^3[/tex]

[tex]\bigstar\:\boxed{\bf{\pink{a^3+b^3} }}[/tex]