At the beginning of the year, John had $40 in savings and saved an additional $13 each week thereafter. Isaac started the year with $80 and saved $9 every week. Let 'J' represent the amount of money John has saved tt weeks after the beginning of the year and let 'I' represent the amount of money Isaac has saved tt weeks after the beginning of the year. Write an equation for each situation, in terms of t, and determine the number of weeks after the beginning of the year until John and Isaac have the same amount of money saved.

Answer:

4x+7 = 5x-20                  

(reason: vertical angles are congruent; property used: distributive)

7 = 1x-20

1x = 7+20

1x = 27

x = 27

Answer:

The correct option is;

Exactly 3 of the 12 soccer players practiced for at least 75 hours last week,

Step-by-step explanation:

The given information are;

The number of soccer players that practiced = 12 soccer players

The first quartile of the data of the recorded number of hours each soccer player practiced = 75

Therefore, given that that there are 12 soccer players, the number of data points = 12

The value of the 1st quartile is the value of the (n + 1)/4th term

When n = 12, we have;

The 12th quartile = (12 + 1)/4 = 3.25 th term with the values arranged in increasing order;

Therefore, the first quarter has the values for the first 3 players, with the lower practiced hour recorded while the recorded time for the remaining 9 players come after the first quartile;

The correct option is therefore that it must be true that exactly 3 (since we do not represent a player with the remaining fraction of 0.25 in 3.25) of the 12 soccer players practiced for at least 75 hours last week.

Answer:

Is this the complete question? is there a figure for this?

Answer:

8 + (n-1)*9

Step-by-step explanation:

In the series, we can see that the difference between 2 consecutive terms is always 9, and the sequence starts at 8.

That means the nth term of the series must be 8 + (n-1)*9

Answer:

7296

Step-by-step explanation:

.

Answer:

7296

Step-by-step explanation:

you multiply the two numbers and the out come is 7296

Answer: Male population = 26,000

               Female population = 24,000

Step-by-step explanation: Male population = X

                                             Female population = Y

               x+y=50,000

               y=50,000-x-(1st equation)

Again (x+x X 5%) + (y+y X 3%) = 52,020

-> x+5x/100 + y+3y/100 = 52020

->  100x+5x+100y+3y =52020

   ________________

                100

-> 105x+103y = 52020-( 2nd Equation)

Putting Eq 1 into 2 ,

105x+103 ( 50,000-x)= 52,020

-> 105x + 5,150,000-103x = 52,020

->2x = 52,020-5,150,000

->2x = 52,000

    x = 26,000 (Male population)

    y = 50,000-26,000

       = 24,000 (Female population)  

Answer:

17

Step-by-step explanation:

The overlapped ones still went to germany but also went to other places to so...6+4+4+3

Answer:

Not sure

Step-by-step explanation:

Answer:

Width = 22ft  Length = 48ft

Step-by-step explanation:

Length = 2(w) + 4

I personally first picked a random number (20) and I got 128, so I knew I had to pick a larger number.

I skipped up to 22 and this is what I did.

W = 22(2) <--(Since there are two width sides) = 44

L = 2(w) + 4

L = 2(22) + 4

L = 44 + 4 = 48

48(2) <--(Since there are two length sides) = 96

96 + 44 = 140

Hope this helps!

Answer:

She saved $13.56

Step-by-step explanation:

$8.64 x 7 folders = $60.48

$4.75 x 2 packs of pencils = $9.50

$6.80 x 3 packs of markers = $20.40

$60.48 + $9.50 +$20.40 = $90.38

$90.38 - 15% = $76.82 (76.823)

She saved a total of $13.56 (13.557)

Answer:

Rachel saved $13.56

Step-by-step explanation:

Pencil Packs: 2 x $4.75 = $9.50

Markers: 3 x $6.80 = $20.40

Folders: 7 x $8.64 = $60.48

Add up the costs.

$90.38

Multiply $90.38 by 0.15

13.557

Round to the nearest hundredth.

$13.58

Hope I helped :)

Please consider Brainliest :)

Answer:

25%

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

4/16×100℅

1/4×100℅

25

Answer:

3

Step-by-step explanation:

Given the following :

Score when there were 4 innings left = 17 to 6

Kim's team = 6 ; opposition team = 17

Opposition didn't score any point in the last 4 innings

Kim's team scored same number of points per inning and also won with the most points

Minimum Number of points Kim's team could have scored per inning :

Let number of points scored in each of the last 4 innings = p

Since they also won eventually:

Then

4p + initial points > opposition point

4p + 6 > 17

4p > 17 - 6

4p > 11

p > 11/4

p > 2.75

Hence, the minimum number of points Kim's team could have scored per inning in the last 4 would be 3( nearest whole number)

Answer: I think the answer is B

Step-by-step explanation:

Answer: 5489

Step-by-step explanation:

Given the following :

Growth rate (r) = 19% per hour

Sample culture in population = 2300

Size of sample after 5 hours =?

Using the exponential relation:

P = Po * r^t

P = population after 5 hours

Po = Initial sample population

t = time

P = 2300 * (1 +19%)^t

P = 2300 ×(1 + 0.19) ^5

P = 2300 * 1.19^5

P = 2300 * 2.3863536599

P = 5488.61341777

P = 5489 (nearest integer)

Answer:

Step-by-step explanation:

Given

Solving for x

Answer:

x = -6

Step-by-step explanation:

4(1 - x) + 3x = -2(x + 1)

~Distribute both sides

4 - 4x + 3x = -2x - 2

~Combine like terms

4 - x = -2x - 2

~Add x to both sides

4 = -x - 2

~Add 2 to both sides

6 = -x

~Divide -1 to both sides

-6 = x

Best of Luck!

Answer:

120

Step-by-step explanation:

i used geogebra :)

Answer:

Step-by-step explanation:

∠A and ∠B are vertical => ∠A=∠B

20x+10=30x-10

20x-30x= -10-10

-10x= -20

x= -20 / -10 = 20 / 10 = 2

x=2

Good luck!

Answer:

2

Step-by-step explanation:

Ok remember this because its going to appear alot in geometry. Vertical angles are ALWAYS congruent and congruent means when two things are equal/ are the same.

If angle a and b are vertical angles what does that mean?

they are CONGRUENT!

you know A = 20x+ 10 and B= 30x-10

so you can write it as

20x+10 = 30x-10

because Angle A and B equal each other

then get the variable by itself so subtract -20x on both sides

10 = 10x-10

then add 10 to both sides which is

20 = 10x

and divide 10 on both side and 20 divided by 10 is 2

so 2 =x

which is the same as x =2  

Answer:

Step-by-step explanation:

Given the expression [tex]\frac{1}{2} - 1\frac{1}{5}[/tex], we are to find the difference

First convert the mixed fraction [tex]1\frac{1}{5}[/tex] to improper fraction

[tex]1\frac{1}{5}[/tex] = [tex]\frac{6}{5}[/tex]

The expression becomes;

[tex]\frac{1}{2} - \frac{6}{5}[/tex]

Find LCM

[tex]\frac{5-6}{10}[/tex]

Evaluate the resulting expression

[tex]\frac{5-12}{10}\\\\\frac{-7}{10}[/tex]

Hence the correct option is C i.e Negative StartFraction 7 over 10 EndFraction

Answer:

the answer is B

Step-by-step explanation:

Answer:

14.

Step-by-step explanation:

14 1/2 / 1 = 14 1/2

answer 14.

Answer:

14 books

Step-by-step explanation:

At most 14 because it is 14 1/2 inches long

Answer:

it small an blurry

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

on visits they is not any kind of pattern  it is oppisite or negative with no Relationship and the books are not either

Answer

-3(x+2)(x+6)=0

Step-by-step explanation:

[tex]-3x^{2} -24x-36=0\\\Leftrightarrow -3(x^{2}+8x+12)=0\\\Rightarrow -3(x+2)(x+6)=0[/tex]

Answer:

120

Step-by-step explanation:

Answer:

y=33 z=69

Step-by-step explanation:

Answer:

Using the distance formula it is the square root of 61 which is about 7.8 to the nearest tenth soooo if Q

Step-by-step explanation:

Answer:

the answer is3xy+9-4x. -3x+3xy

Answer:

3xy+9-4x-7+x. -2x+3xy-(x-2)

=3xy+(9-7)+(-4x+x). = -2x+3xy-x+2

=3xy+2-3x. = (-2x-x)+3xy+2

= -3x+3xy+2

Answer:

13.5 minutes

Step-by-step explanation:

128 = 3 minutes

128/3 = 1 minute worth of words

42.6 = 1 minute

576/42.6 = 13.5

Answer:

13.5min or 13min 30sec

Step-by-step explanation:

Answer:

where is model A

Step-by-step explanation:

Answer:

5/72

Step-by-step explanation:

Answer:

112 bags o marbles

Step-by-step explanation:

280kg/2.5= 112 bags