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?


5
x
+
1
and
5
(
x
+
1
)
5 x plus 1 and 5 times open paren x plus 1 close paren

(
x
+
1
)
×
5
and
5
×
x
+
1
open paren x plus 1 close paren times 5 and
5
×
x
+
1

5
(
x
+
1
)
and
5
x
+
5
5 times open paren x plus 1 close paren and 5 x plus 5

(
x
+
1
)
×
5
and
5
+
(
x
×
1
)
open paren x plus 1 close paren times 5and 5 plus open paren x times 1 close paren

Answers

Answer 1

The expressions that can be used to calculate both numbers of hours Demetrius works in 5-day work week is 5(x + 1)  and 5x + 5

We are being told that Latisha works x hours each day and Demetrius works 1 more hour each day than Latisha.

So,

Let the amount of works done by Latisha be = xThen, the amount of works done by Demetrius will be = x + 1

Thus, the both expression that can determine the number of hours Demetrius works in five days is:

= 5(x + 1)  and 5x + 5

This is because if we open the bracket from 5(x+1) and multiply each term in the bracket with 5, we end up having 5x + 5.

5 times open paren x plus 1 close paren and 5 x plus 5 is correct.

Learn more about word problems here:

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Related Questions

Solve this system. Write your answer as an ordered pair. -5x + y = -3 3x - 8y = 24

Answers

Hello there, this is how we will solve your problem.\

here is the equation you gave us.

[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]

[tex]\begin{bmatrix}-5x+y=-3\\ 3x-8y=24\end{bmatrix}[/tex]

we can isolate [tex]x[/tex] and say [tex]x=\frac{-3-y}{5}[/tex]

Now here is our equation, [tex]\begin{bmatrix}3\left(-\frac{-3-y}{5}\right)-8y=24\end{bmatrix}[/tex] After we simplify it we get [tex]\begin{bmatrix}\frac{9-37y}{5}=24\end{bmatrix}[/tex], solve this and we get that [tex]y=-3[/tex], Before we said [tex]x[/tex] equals [tex]-\frac{-3-y}{5}[/tex], So now we can plug in our value that [tex]y[/tex] equaled, and now we have [tex]\frac{-3-(-3)}{5}[/tex]. Two negatives equal a positive and we get that [tex]x=0[/tex].

_________________

[tex]y=-3[/tex] [tex]x=0[/tex]

To make a certain shade of paint, an artist needs to mix yellow with blue paint at a ratio of 3 to 5. He needs 32 ounces of paint.

Solution:

Answers

Step-by-step explanation:

I guess the question is how many ounces are needed per paint. right ?

the colors are mixed in a ratio 3:5.

what that tells us is that there are 8 units of the whole paint (3+5), and yellow gets 3 out of these 8, and blue 5 out of these 8.

the total is 32 ounces.

so, each of the 8 units represents

32/8 = 4 ounces.

and now we know :

yellow has 3 units

3×4 = 12 ounces

blue has 5 units

5×4 = 20 ounces

in a supermarket, bottles of lemonade are on a buy one get one half price offer.
The normal price of lemonade is 82p.
How much would it cost to get exactly three bottles of lemonade using this offer?
£

Answers

Answer: 114p

Step-by-step explanation:

Hope it helps

Help please. I dont know how to do this :((

Answers

Answer:

You need the distance of all four sides so that is:

2 * (5y +1) + 2 * (2y -3) which equals

10y + 2 + 4y -6 and that equals

14y -4

Step-by-step explanation:

What is the slope of a line if x equals (-2 and y equals 4?

Answers

Answer:

can't be determined unless you give two points which is two sets of x and y points

22= -11k what does k equal

Answers

Answer:

k = -2

Step-by-step explanation:

Divide 22 by -11 as well as -11k by -11

(You have to divide both sides by the number that k is to find your answer)

22 divided by -11 = -2

-11k divided by -11 = k

meaning you would get the answer of k = -2

After her party, Kayla had 4 4/5 trays of brownies left over. Her 2 party guests each took home the same amount of leftover brownies. How many trays of brownies did each guest take home?

Answers

Answer:2.4 or 12/5

Step-by-step explanation:  (4 4/5)/2 = 2.4

Let f(x) = 2(x − 1)² + 3 and h(x) = -f(x+3) - 1

Write h in terms of x

Answers

f(x+3)

[tex]\\ \sf\Rrightarrow 2(x+3-1)^2+3[/tex]

[tex]\\ \sf\Rrightarrow 2(x+2)^2+3[/tex]

[tex]\\ \sf\Rrightarrow 2(x^2+4x+4)+3[/tex]

[tex]\\ \sf\Rrightarrow 4x^2+8x+8+3[/tex]

[tex]\\ \sf\Rrightarrow 4x^2+8x+11[/tex]

Now

[tex]\\ \sf\Rrightarrow h(x)[/tex]

[tex]\\ \sf\Rrightarrow -f(x+3)-1[/tex]

[tex]\\ \sf\Rrightarrow -4x^2-8x-11-1[/tex]

[tex]\\ \sf\Rrightarrow -4x^2-8x-12[/tex]

[tex]\\ \sf\Rrightarrow 4(-x^2-2x-3)[/tex]

which table can be represented by the equation y=3x+2

Answers

I think the answer is 13

one of the same side exterior angles of two parallel lines is 20 degrees less than the other same side exterior angle find the measures of the two angles (pls help i will give 25 points)

Answers

Answer:

25 I am not a fan of the gas increases when the piston is pushed in the next war

answer the ones you want to. At least answer one…

I have to do 2 pages of homework I need this done I have school tomorrow..

Have no idea how to do this. Please help I beg you.

Answers

Answer:

9. First Five terms

If n=0. Then,

[tex] \frac{4(0) - 5}{2}[/tex]

[tex] \frac{0 - 5}{2} = \frac{ - 5}{2} [/tex]

If n=1. Then,

[tex] \frac{4(1) - 5}{2} [/tex]

[tex] \frac{4 - 5}{2} = \frac{ - 1}{2} [/tex]

If n=2. Then,

[tex] \frac{4(2) - 5}{2} [/tex]

[tex] \frac{8 - 5}{2} = \frac{3}{2} [/tex]

If n=3. Then,

[tex] \frac{4(3) - 5}{2} [/tex]

[tex] \frac{12 - 5}{2} = \frac{7}{2} [/tex]

If n=4. Then,

[tex] \frac{4(4) - 5}{2} [/tex]

[tex] \frac{16 - 5}{2} = \frac{11}{2} [/tex]

If n=5. Then,

[tex] \frac{4(5) - 5}{2} [/tex]

[tex] \frac{20 - 5}{2} = \frac{15}{2} [/tex]

If n=6. Then,

[tex] \frac{4(6) - 5}{2} [/tex]

[tex] \frac{24 - 5}{2} = \frac{19}{2} [/tex]

write the slope intercept form of the equation through (2,-4) parallel to y=-1

Answers

Answer:

y = -x - 2

Step-by-step explanation:

Parallel lines have equal slopes.

Given slope, m = - 1 and point (2, -4).

Slope- intercept form:

y = mx + b

Th line will be:

y = -x + b

Substitute x and y- values of the point into equation to find the value of b:

- 4 = - 2 + bb = 2 - 4b = - 2

The line is:

y = -x - 2
y=-1y=0x-1

Slope=m=0

Parallel lines have equal slopes

Equation of line in point slope form

y-y1=m(x-x1)y+4=0(x-2)y+4=0y=-4

What is the scale factor that takes the large triangle to the small triangle?

Answers

Step-by-step explanation:

such a scale factor applies to all sides and lines.

we see that DE is 12 units, and AB is 4 units.

so,

12×f = 4

f = 4/12 = 1/3 is the scale factor

control : check the other side

FE = 6 units

6 × 1/3 = 2

so, the corresponding side in the small triangle must be 2 units long.

and indeed, CB is 2 units long. all correct.

SHOW WORK PLS.
y = x ^ 2 - x - 11
y = - x - 7
solve by substitution!

Answers

X^2-x-11=-x-7
X^2-11=-7
X^2=4
X=2 (4 was reduced to 2 after the equation was square rooted)
Pls give brainliest so close to ranking up

What are some possible solutions for the following?

Answers

Answer:

After solving the problem, the answer is x>1/2. However I do not see the answer choice provided so I do not know the answer to the question

Step-by-step explanation:

Find the greatest common factor of 15c and 8c2.

Answers

the greatest common factor would be c

my Christmas present to you​

Answers

Answer:

thankss

Step-by-step explanation:

-5(c-4)=
a*-20-5c
b*20-5c
c*20+5c
???????

Answers

Answer:

b

Step-by-step explanation:

distributive property-

-5c-(-20) which is -5c+20 which can also be 20-5c

1
Distribute

5
(


4
)

5
(
c

4
)

5

+
2
0

5
c
+
20
Solution

5

+
2
0

5
c
+
20

What is 16 divided by 5%=?

Answers

Answer:

320

Step-by-step explanation:

I am assuming we are trying to find 16/5%.

5% is equal to 1/20, so we can make this into :

[tex]\frac{16}{\frac{1}{20} }=16*\frac{20}{1}[/tex]

This is equal to 16 x 20 = 320

Answer:320

Explanation: divide 16 by 5% on your phone calculator

3.please help me out

Answers

Answer:

125

Step-by-step explanation:

Step-by-step explanation:

5×5²

=5×5×5

=125

index form= 5³

My question that I need help on

Answers

Answer:

Step-by-step explanation:

154 sq. cm is the area of a circle
so find its radius
[tex]\pi =\frac{22}{7}[/tex]

Answers

Answer:

r = 7 cm

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( where r is the radius )

Given A = 154 , then

πr² = 154 , that is

[tex]\frac{22}{7}[/tex] r² = 154 ( multiply both sides by 7 to clear the fraction )

22r² = 1078 ( divide both sides by 22 )

r² = 49 ( take square root of both sides )

r = [tex]\sqrt{49}[/tex] = 7 cm

Eva is flying a kite, holding her hands a distance of 2.75 feet above the ground and
letting all the kite's string play out. She measures the angle of elevation from her
hand to the kite to be 25°. If the string from the kite to her hand is 130 feet long, how
many feet is the kite above the ground? Round your answer to the nearest tenth of a
foot if necessary.

Answers

Answer: 57.7 feet above the ground

sin 25= opposite/hypotenuse

 = x/130

130 sin 25 = x

x=54.940374

54.940374+2.75 = 57.7

 

Hello!! :3

Please answer the question below.

-hello10olleh (hello)

Answers

Answer:

sequence B

Step-by-step explanation:

Answer:

IT SHALL BE Bbbbbbbbbbbbbbbbbbbbbbbbbbbb

HoPe ThIs HeLpS

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

28/5= 5 3/5
41/6= 6 5/6
42/9=4 2/3
31/3=10 1/3
70/6=11 2/3
sorry if i’m late I don’t know how to write explanations

find m angle 1 117+33+x=180​

Answers

Answer:

angle x = 30 degrees

Step-by-step explanation:

180-117-33= x

180 - 117- 33= 30

117+33+x=180

117+33=150

180-150=30

x=30

117+33+30=180

180=180

honestly i dont know what you wanted me to do so i did what i know

Joyce's mother buys some shares of Company A on Day 0.
On Day 7, the share price of Company A is $4.60.
If she sells all her shares of Company A and A buys 2000 shares of Company B on Day 7, she would receive $7400.
On Day 12, the share price of Company A is $4.80 and the share price of Company B is $0.50 less than that on Day 7.
If she sells all her shares of Company A and buys 5000 shares of Company B on Day 12, she would have to pay $5800. Find
(i) the number of shares of Company A Joyce's mother has,
(ii) the share price of Company B on Day 12.

Please help aNd thank you!!!​

Answers

Answer:

(i) 4000

(ii) $5.00

Step-by-step explanation:

Let no. of shares of Company A be X

Let share price of Company B on Day 7 be $y

Share price of Company B on Day 12 = $(y-0.50)

(i)

Consider Day 7:

4.60x - 2000y = 7400................ (1)

Consider Day 12:

4.80x - 5000(y-0.50) = -5800

4.80x - 5000y + 2500 = -5800

4.80x - 5000y = -8300............... (2)

(1)*2.5:

11.5x - 5000y = 18500................. (3)

(3)-(2):

11.5x - 4.80x - 5000y + 5000y = 18500 + 8300

6.70x = 26800

x = 4000

(ii)

Sub. x = 4000 into (1):

4.60(4000) - 2000y = 7400

-2000y = 7400 - 18400

-2000y = -11000

y = 5.5

Share price of Company B on Day 12

= 5.50 - 0.50

= $5.00

Jessie has $120 saved and earns $40 each month in
allowance. Peter has $180 saved and earns $20 a month
in allowance. If they both save their entire allowances,
how long will it take before Jessie and Peter have saved
the same amount of money?

Answers

Answer:

3 months

Step-by-step explanation:

Jessie starts with $120 and get $40 a month

peter has $180 and get $20 a month

1 month passed Jessie now has $160 and Peter has $200

2 months passed Jessie now has $200 and Peter has $220

3 months passed Jessie now has $240 and Peter has $240

What is the slope of the following line?

Answers

The slope of the line is 1/-2

You only have to rise one time, then go over to the left two times in order to get to another point.

Find the value of

-12
20
36
-10

Answers

Answer:

20 is the answer.

Step-by-step explanation:

(-4)² + (-2)²=> 16 + 4=> 20

Conclusion:

Therefore, 20 is the answer.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

(-4)²+(-2)²16+420

Option B

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