Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha.Which expressions both calculate the number of hours Demetrius works in a 5-day work week?

Answers

Answer 1

The expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]

If Latisha works [tex]x[/tex] hours each day

Demetrius works one more hour than Latisha each day. Algebraically, Demetrius works [tex](x+1)[/tex] hours each day

So for a [tex]5[/tex]-day working week, Demetrius will work

[tex](x+1)+(x+1)+(x+1)+(x+1)+(x+1)\\=5\times (x+1)\\=5(x+1)hours[/tex]

If we remove the brackets, we have the equivalent expression

[tex]5(x+1)=5x+5[/tex]

So the expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]

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Related Questions

the pentagons ABCDE and JKLMN are similar find the length x of JK

Answers

the second shape is double the first so you would do AB = 2 and then times by 2 as its double and you will get 4
answer = 4

Answer:

x = 4

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values

[tex]\frac{x}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )

x = 4

Justin's pays is represented by this line graph.


How much is Justin paid for one hour of work?

Answers

Answer:

He is been paid $7 per hour

Step-by-step explanation:

140dollars/ 20 hours

140/7 hourssssssszss

A carpet cleaning company charges $55 per hour. Is the relationship a proportional relationship? Explain. Complete the table.A. Yes it has a constant rate change.B. Yes it has a constant rate of change.C. No it does not have a constant rate of change.

Answers

Answer:C

Step-by-step explanation:

2-4(3+4k)=54

Distributing^^^^^^

Answers

Answer:

Ok that is good

Step-by-step explanation:

Answer:

k = 3.2

Step-by-step explanation:

2 - 4(3 + 4k) = 54

=> 2 - 12 + 20k = 54

=> -10 + 20k = 54

=> 20k = 64

=> k = 3.2

Hoped this helped.

Find y
Find m Find m

Answers

Answer:

y= -21; m∠MNO=40°.

Step-by-step explanation:

1) m∠MON+m∠MNO=90°;

2) -3y-13°-2y-2°=90°;

5y=-105°; ⇒ y= -21;

3) m∠MNO=-2y-2°=42°-2°=40°.


Woodbury Middle School has 270 girls and Valley Middle School has 206 girls. Which school has
a greater percentage of girls? Determine the percentage for each school.

Answers

Woodbury Middle School has a greater percentage of girls, as it has 56.72% against 43.28% of Valley Middle School.

Given that Woodbury Middle School has 270 girls and Valley Middle School has 206 girls, to determine which school has a greater percentage of girls, the following calculation must be performed:

270 + 206 = 476 476 = 100 270 = X 270 x 100/476 = X 56.72 = X

Therefore, Woodbury Middle School has a greater percentage of girls, as it has 56.72% against 43.28% of Valley Middle School.

Learn more about maths in https://brainly.com/question/25901815

Find an equation of the line described. Write the equation in slope-intercept form when possible.
Through (-8, -7), perpendicular to the y-axis
The equation of the line is y=
(Simplify your answer. Use integers or fractions for any numbers in the expression.)

Answers

Answer:

-7

Step-by-step explanation:

Because the step in puting slope is respectly (x,y)

Help help hep math math

Answers

[tex]300 {ft}^{2} [/tex]

Step-by-step explanation:

d=20

r=10

π=3

[tex]a = \pi{r}^{2} [/tex]

[tex]a = (3) {(10)}^{2} [/tex]

[tex]a = 300[/tex]

Answer:

A = 300 ft^2

Step-by-step explanation:

First we need to  find the radius

r = 1/2 d

The diameter is 20

r = 1/2(20) = 10

A =pi r^2

We are using 3 for pi

A = 3( 10)^2

A = 3 * 100

A = 300 ft^2

What is greater -5 1/2 or 6.5

Answers

Answer:

6.5

Step-by-step explanation:

We have: -5 1/2 = -11/2 ; 6.5 = 13/2
As we can see: -11/2 < 13/2
So -5 1/2 < 6.5

What is the difference? StartFraction x 5 Over x 2 EndFraction minus StartFraction x 1 Over x squared 2 x EndFraction StartFraction x squared 4 x minus 1 Over x (x 2) EndFraction StartFraction x squared 4 x 1 Over x (x 2) EndFraction StartFraction 4 Over negative 1 (x squared x minus 2) EndFraction StartFraction x squared 6 x 1 Over x (x 2) EndFraction.

Answers

The difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]

Given the expression:

[tex]\frac{x+5}{x+2}-\frac{x+1}{x^2+2x} \\[/tex]

Take the LCM of the fraction to have:

[tex]=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}[/tex]

Hence the difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]

Learn more on fractions here; https://brainly.com/question/78672

Answer:

its B. x^2+4x+1 / x(x+2)

Step-by-step explanation:

did it on edge

Solve for h. (h − 8)(h + 2) = 0

Answers

Answer:

donwload the gautmaht this is very powerful calculator to math problems

Step-by-step explanation:

make this is helpful too you

Find the equation of the line with slope of 2 passing through (3,1)

pplleeaassee

Answers

The equation of the line is y-2x+5=0 I believe. Good luck :)

Hep help help math math math

Answers

Answer:

525

Step-by-step explanation:

hope this helps

Answer:

526

Step-by-step explanation:

3. Solve for side length BD
A
31
D
13 cm
I
47
C
B

Answers

Answer:

A

Step-by-step explanation:

this is beacuse of the ? mark!

Glad this will help

NEED HELP ASAP 50 POINTS PLEASE DO ALL OF THEM !!!!!in the item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may display additional information when you click on them. Drag and drop each item into the correct column. Order does not matter. 1 2 4 3 5/6 7 8 ITEM BANK Move to Bottom 1&8 267 3 &5 3 & 6 3 & 8 4 & 5 4 & 6 4&7 Alternate Interior Zs Corresponding Ls Alternate Exterior Zs Consecutive Interiors 1 & 5 2 & 6​

Answers

Answer:

the top two on the right hand corner go in coressponding the one by the middle of the top row gos in alternative int and the far left gos in alt in bottom two go in cosecutive the middle far right go alt int middle row far left consecutive interior left gos alt ext and middle row right gos alt

Step-by-step explanation:

Sorry if this is late lol. Hope this helps other people too though.

Alternative interior

4 & 6

3 & 5

Corresponding

1 & 5

4 & 7

2 & 6

3 & 8

Alternative

1 & 8

2 & 7

Consecutive

4 & 5

3 & 6

Which algebraic expression represents this phrase?
the product of 40 and the distance to the finish line
A. 40-d
B. 40+ d
C. 40xd
D. 40/d

Answers

Answer:

40-d

Step-by-step explanation:

Find a formula for the Nth term of sequence:

3,5,9,17

Answers

Answer:

  an = 1 +2^n

Step-by-step explanation:

The given terms do not have a common ratio or a common difference. The differences of the given terms are ...

  5 -3 = 2

  9 -5 = 4

  17 -9 = 8

These differences have a common ratio of 2, indicating an exponential sequence with a base of 2.

The terms 2^n are 2, 4, 8, 16. We notice that the given terms are 1 more than these values. The sequence is ...

  an = 1 +2^n

Answer:

Try!

Step-by-step explanation:

Pls help!!!!!!!!!!!!!

Answers

Answer:

eat tacos until you bloat

Step-by-step explanation:

AHAHAHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH MAMAMAMAMAMAA

Find the area of the trapezoid

Answers

Answer:

18000

Step-by-step explanation:

Given,

Back of lot of the trapezoid = 175

Front of lot of the trapezoid = 185

Length of lot of the trapezoid = 100

Therefore,

Area of the given trapezoid

[tex] = \frac{a + b}{2} c[/tex]

[On putting values]

[tex] = \frac{175 + 185}{2} \times 100[/tex]

[On Simplification]

= 360 × 50

[On multiplying]

= 18000

Hence,

The required area of the given trapezoid is 18000 (Ans)

Find the equation of the normal to the curve in y=mx+b format : p(t) = 3t^2 - 8t + 3 at t = 3

Answers

Answer:

[tex]y=10x+24[/tex]

Step-by-step explanation:

Find the derivative of the function

[tex]p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8[/tex]

Determine the slope of p(t) at t=3:

[tex]p'(3)=6(3)-8=18-8=10[/tex]

Find p(3):

[tex]p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6[/tex]

Determine y-intercept:

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

[tex]6=10(3)+b[/tex]

[tex]6=30+b[/tex]

[tex]-24=b[/tex]

Final equation:

[tex]y=10x-24[/tex]

HELLPPPP PLEASEEEE IM GIVING 100 POINTS
which is the equation of the line in slope-intercept form

Enter your answer in the boxes
Y=__x+__

Answers

Answer:

Y= -5x + 6Y

Step-by-step explanation:

(-5, -2.5) to (1.5, 6)

9/5 - (-2 7/10) and write it as a fraction and simplest form

Answers

Answer:

probably 4.5 if im not mistaking

Answer:

4 1/2

Step-by-step explanation:

(-2 7/10) = (-2.7)

9/5 = 1.8

1.8 - (-2.7)

= 1.8 + 2.7

= 4.5 or 4 1/2

10. Find the value of x.
(5x+12)° (3x+8)°
10
15
20
25

Answers

Answer:

3x+8+5x+12

8x+20=180

A. 80+20=100 No

B. 120+20=140 No

C. 160+20=180 Yes

D. 200+20=220 No

The Answer is C

Hope This Helps!!!

Answer:

x = 20

Step-by-step explanation:

The triangle has 2 congruent sides and is therefore isosceles with 2 congruent base angles, both 3x + 8

5x + 12 and 3x + 8 lie on a straight line and sum to 180° , that is

5x + 12 + 3x + 8 = 180

8x + 20 = 180 ( subtract 20 from both sides )

8x = 160 ( divide both sides by 8 )

x = 20

what equation can help you find out how many adults are there if tickets cost $9 for adults plus one child and $3 for children the total cost of the movie is $48​

Answers

Answer:

48 ÷12 will help you 48 is cost divided by total cost which means cost of one adult and one child

Answers please ASAP!!!

Answers

-1/-1=1
(-4/5)/-1= 4/5
(-2/5)/-1= 2/5
(4/5)/-1= -4/5
1/-1= -1

The solution is x < -2/5

graph -1,-1 on this graph​

Answers

Answer:

so that's how you plot their intersection

Triangle DCB is congruent to triangle IGH what is an less than H

Answers

Answer:

no cuh

Step-by-step explanation:

Miles bought 3.75 acres of land in 1993. In 1997, he bought enough land to double his property. Then in 2001, Mis was forced to sell 2.9 acres of land. In 2005, he gave 25% of his remaining land to his daughter. If he did not buy or sell and more land, how much land does miles have now.

A. 2.6 acres C. 7.8 acres
B. 3.45 acres D. 1.15 acres

Answers

Answer: B: 3.45

Step-by-step explanation: First, we take 3.75 and double it, or multiply it by 2 giving us 7.5, then, we subtract 2.9 from 7.5, giving us 4.6. then we take away 25% of 4.6, or 1.15, giving us *3.45*.

Please help me!

ty ty :)

Answers

Answer:

The answer is steeper.

I'm not sure about the slope thingy. But the line looks Steeper instead of flatter

4x^2+8x-12 in vertex form

Answers

The answer in vertex form is y=4(x+1)^2 -16

Answer:

y = 4 (x + 1)² - 16

Step-by-step explanation:

Step 1: Equation at the end of step 1

(2²x²+8x)-12

Step 2:

Step 3: Pulling out like terms

Pull out like factors :

4x² + 8x - 12  =   4 • (x² + 2x - 3)

Trying to factor by splitting the middle term

Factoring  x²+ 2x - 3

The first term is,  x²

its coefficient is  1 .

The middle term is,  +2x  its coefficient is  2 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   2 .

   -3    +    1    =    -2  

     -1    +    3    =    2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  3

x² - 1x + 3x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-1)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-1)

Step-5 : Add up the four terms of step 4 :

                   (x+3)  •  (x-1)

            Which is the desired factorization

Final result :

Final result :

 4 • (x + 3) • (x - 1)

Now convert to vertex form:

y = 4 (x + 1)² - 16

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