Darnell and Lance are both saving money. Darnell currently has $40 and is saving $5 each week. Lance has $25 and is saving $8 each week.


What week will Darnell and Lance have the same amount of money?

How much will each boy have when they have the same amount of money?

If both boys continue saving at this rate, who will have $100 first

[tex]6 - 7(x + 1) = - 3(2 - x)[/tex]

[tex]6 - 7x - 7 = - 6 + 3x \\ - 1 - 7x = - 6 + 3x[/tex]

[tex] - 1 + 6 = 7x + 3x \\ 5 = 10x \\ \frac{5}{10} = x \\ \frac{1}{2} = x[/tex]

[tex]6 - 7( \frac{1}{2} ) - 7 = - 6 + 3( \frac{1}{2} ) \\ 6 - \frac{7}{2} - 7 = - 6 + \frac{3}{2} \Longrightarrow \sf{You \: \: can \: \: change \: \: sides \: \: to \: \: make \: \: it \: \: easier} \\ 6 - 7 + 6 = \frac{7}{2} + \frac{3}{2} \\ 5 = \frac{10}{2} \\ 5 = 5 \: \green{ \checkmark}[/tex]

The equation is true for x = 1/2.

[tex] \large \boxed{x = \frac{1}{2} } \: \: \: \: \green{ \checkmark}[/tex]

42

Step-by-step explanation:

first we have to find out 40% of 30 which is 12 because 15 is 50% and 27 is 90% Wich would get us 12 with 40% percent then you would take 30 and add 12 which would lead you with 42

Answer:

24 degrees and 72 degrees

Step-by-step explanation:

4 EQUAL parts;

part 1, 2, and part 3 are all included in the bigger angle

part 4 is included in the smaller angle

96 (total) / 4 (parts) = 24 degrees

part 1 + part 2 + part 3 = 72 degrees

part 4 = 24 degrees

Your angle measures are 24 degrees and 72 degrees.

Answer:

.103

Step-by-step explanation:

14.3 ÷ 1/3  =  14.3 x 3  =   42.9

[tex]\frac{4.4}{x}[/tex] = 42.9

42.9x = 4.4

x = 4.4 ÷ 42.9

Answer:

Its false babe

Answer:

The ratios does not for a proportion.

Step-by-step explanation:

☆When

[tex] \frac{18}{54} [/tex]

is simplified, it simplifies to:

[tex] \frac{14}{9} \: not \: \frac{16}{9} [/tex]

☆And you could also figure it out doing proportion.

[tex] \frac{18}{54} ≠ \frac{16}{6} \\ \\ 864≠756[/tex]

Answer:

$5

Step-by-step explanation: 15/6 = 2.5 for each bunch. 2.5 x 2 = 5

Answer:

x=1 is the correct answer

Answer:

In quadrant 1

Step-by-step explanation:

Quadrant 1 is (positive, positive) which falls in the category (10,25)

Answer:

quadrant 1

Step-by-step explanation:

2 positives lie in quadrant 1, 2 negatives lie in quadrant 3, positive x and negative y lie in quadrant 4, and negative x and positive y lie in quadrant 2.

Hope this helps :D

Answer:

[tex]9[/tex] right-handed gloves and [tex]3[/tex] left-handed gloves were sold.

Step-by-step explanation:

Given:  In one month, [tex]12[/tex] gloves were sold for a total revenue of [tex]\$561[/tex].

            right-handed gloves cost [tex]\$45[/tex] and left-handed gloves cost [tex]\$52[/tex].

To find: How much of each type of gloves did they sell?

Solution: Let they sell [tex]x[/tex]  right-handed gloves, and [tex]y[/tex] left-handed gloves.

Now, cost of each right-handed gloves [tex]=\$45[/tex]

cost of each left-handed gloves [tex]=\$52[/tex]

Total revenue [tex]=\$561[/tex]

So, we get

[tex]45x+52y=561\:\:\:...(i)[/tex]

Also,  in a month [tex]12[/tex] gloves were sold.

So, we get

[tex]x+y=12\:\:\:...(ii)[/tex]

Now, from [tex](ii)[/tex] we get, [tex]x=12-y[/tex].

Putting [tex]x=12-y[/tex] in equation [tex](i)[/tex], we get

[tex]45(12-y)+52y=561[/tex]

[tex]\implies 540-45y+52y=561[/tex]

[tex]\implies7y=561-540[/tex]

[tex]\implies7y=21[/tex]

[tex]\implies y=\frac{21}{7}[/tex]

[tex]\implies y=3[/tex]

Now, putting [tex]y=3[/tex] in equation [tex](ii)[/tex], we get

[tex]x+3=12[/tex]

[tex]\implies x=12-3[/tex]

[tex]\implies x=9[/tex]

Hence, [tex]9[/tex] right-handed gloves and [tex]3[/tex] left-handed gloves were sold.

Answer:

30m, 24m/s

Step-by-step explanation:

Given the expression for the position of the object expressed as:

S = 6t² + 3t + 7,

At t = 0

S0 = 6(0)²+3(0)+7

S0 = 0+0+7

S(0) = 7m

At t = 2

S2 = 6(2)² + 3(2)+ 7

S2 = 6(4)+6+7

S2 = 24+13

S2 = 37

The displacement = S2-S0 = 37-7= 30m

For the velocity

V = dS/dt = 12t+3

At t = 0

V0 = 12(0)+3

V0 = 3

At t= 2

V2 = 12(2)+3

V2 = 24+3

V2 =27

The velocity will be V2-V0 = 27-3 = 24m/s

Answer:

Y = x - 4

Step-by-step explanation:

it’s already in y = Mx + b form

Answer:

C and D

Step-by-step explanation:

D rate of change is 16 per hour.

C rate of change is 20.

This is the closest I could get. hope this helps

Answer:

360 degrees around a point. the angle opposite 125 is vertically opposite so will be 125. 125 X 2 = 250

360 - 250 = 110. 110/2 = 55 degrees.

the angle opposite X is vertically opposite and is also an alternate angle to the angle of 55 degrees.

X = 55 degrees

Answer:

that's dum

bxhsusjsjsjdjjdjsusususususu

Answer:

√13

Step-by-step explanation:

Find the length AC and BC

AC=5-2

=3 (AC found in the y-axis so we substract the y values)

BC=4-2

=2 (BC found in the x-axis so we substract the x values)

then by using pythagoras we can find AB

AB^2=BC^2+AC^2

Answer: cups of cake mix: 19/24 cups of water: 11/64

Step-by-step explanation:

Because it is not dividing by a fraction all you have to do is multiply its denominator by 8.

Answer:

The answer is D :)

Answer: 124 trips

Step-by-step explanation:

Miguel cycled for 246 kilometres to get to 41 trips.

You can use this to find out the distance of one trip.

= 246/41

= 6 km

Each trip was 6 km.

If Miguel wants to travel for 744 kilometres, the number of trips to make is:

= 744/6

= 124 trips

Answer:

D

Step-by-step explanation:

-12 + 5 ≤ 4

-7 ≤ 4

this inequality is true

The answer to the question is D

Answer:

i'm not sure what you need help with.

Step-by-step explanation:

Answer:

8.2

Step-by-step explanation:

Answer:

1. 300 and 330

2. the red car has better mileage

3. well I did 300 divided by 12 and got 25. then I did 330 divided by 15 and got 22 so the red has better mileage

Answer:

x² + 4x + 9

Step-by-step explanation:

This is just adding like terms (Adding x²'s to each other, adding x's to each other, etc.)

3x² - 2x² = x²

-x + 5x = 4x

7 + 2 = 9

So all together its x² + 4x + 9.

Answer:

ygjjjyc

Step-by-step explanation:

trzerxcgvjyu

Answer:

Step-by-step explanation:

Number    Price per     Total            Commission                    Total cost

of Shares  Share                             (At 6% of total)        

100           $16.25          $1625         [tex]1625\times \frac{6}{100}=97.5[/tex]      1625+97.5 = $1722.5      

100           $11.31            $1131           [tex]1131\times \frac{6}{100}=67.86[/tex]    1131+67.86=$1198.86

40             $9.15             $366          [tex]366\times \frac{6}{100}=21.96[/tex]      366+21.96=$387.96

100           $15.27           $1527        [tex]1527\times \frac{6}{100}=91.62[/tex]    1527+91.62=$1618.62

100           $13.22           $1322        [tex]1322\times \frac{6}{100}=79.32[/tex]   1322+79.32=$1401.32

Answer:

20k

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

9k + 3k + 8k

Step 2: Simplify

Final Answer: [tex]20k[/tex]

Steps/Reasons/Explanation:

Because they are all one variable, you can just add them up.

Question: Simplify the expression: [tex]9k+3k+8k[/tex].

Step 1: Addition.

[tex]20k[/tex]

~I hope I helped you :)~

Answer:

D is the answer for edge 2020

Step-by-step explanation:

:P hope this helps you <3

Answer:

D Edge 2020-1

Step-by-step explanation: