Latoya opened a savings account and made an initial deposit. After the initial deposit,she added money into the account each week. She added the same amount of money each week, and she did not make any withdrawals. After 4 weeks, she had $450 in her account. After 9 weeks, she had $825 in her account. How much money is Latoya adding to her account each week?

Answer:

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

B.)

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Step-by-step explanation:

Sample space :

Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

Event that the total number of head is even:

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Answer:

turn 5-4/10 to an improper fraction so

[tex] \frac{54}{10} \times 2[/tex]

you can simply that to

[tex] \frac{54}{5} [/tex]

then change it back to a regular fraction

[tex]10 \frac{4}{5} [/tex] which is also

[tex]10 \frac{8}{10} [/tex]

Answer:

D.  10 [tex]\frac{8}{10}[/tex]

Step-by-step explanation:

54/10 x 2 = 108/10

= 10 [tex]\frac{8}{10}[/tex]

Answer:

I think x is 34.75.

Step-by-step explanation:

Same side interior angles are supplementary to each other. Angle C and angle E are congruent to each other.

(4x-20)+61=180

4x+41=180

subtract 41 from both sides

4x=139

x=34.75

9514 1404 393

Answer:

  r ≈ 19.0

  s ≈ 17.7

Step-by-step explanation:

The relevant trig relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

So, you have ...

  cos(43°) = r/26

  r = 26·cos(43°) ≈ 19.0

__

  sin(43°) = s/26

  s = 26·sin(43°) ≈ 17.7

Answer:

not yet di ko po maintindihan

Step-by-step explanation:

sana po magets nyo po

Answer:

96

Step-by-step explanation:

3M=T

T-24=M+24

substitute for T in second equation

3M-24=M+24

solve for M

M=48/2; M=24

and T=72

together is 96

Answer:

c i believe

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

6^2 = 6x6 = 36

36 x 4 = 144

Answer:

I love algebra

The ans is in the picture

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x - 2(-2x - 1) = 10

4x + 4x + 2 = 10

8x + 2 = 10

8x = 8

x= 1

y = -2(1) - 1

y = -2 - 1

y = -3

(1, -3)

9514 1404 393

Answer:

  L = 5√10

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.

  (10√3)² = L² + (5√2)²

  300 = L² + 50 . . . . . . . . . evaluate the squares

  L² = 300 -50 = 250 . . . . subtract 50

  L = √250 = (√25)(√10) . . . . take the square root and factor for simplification

  L = 5√10

Answer:

164 is less than the expectation

Step-by-step explanation:

Given

[tex]n = 480[/tex] --- Cars

[tex]p = 0.375[/tex] --- Probability of silver

Required

Determine if 164 is more or less than the expectation

First, we calculate the expected value (E(x))

[tex]E(x) = n * p[/tex]

Substitute values for n and p

[tex]E(x) = 480 * 0.375[/tex]

[tex]E(x) = 180[/tex]

The expected number of silver cars is 180.

Hence, 164 is less than the expectation.

Answer:

The distance between (5, -8) and (5,2) is: d = 10 units

Step-by-step explanation:

Note: I will solve the first question as the procedure solution for the remaining questions is exactly the same.

Given the points

Determining the distance between (5, -8) and (5,2)

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

substitute (x₁, y₁) = (2, 3) and (x₂, y₂) = (2, -5)

   [tex]=\sqrt{\left(5-5\right)^2+\left(2-\left(-8\right)\right)^2}[/tex]

   [tex]=\sqrt{\left(5-5\right)^2+\left(2+8\right)^2}[/tex]

   [tex]=\sqrt{0+10^2}[/tex]

   [tex]=\sqrt{10^2}[/tex]

   [tex]=10[/tex]  units

Therefore, the distance between (5, -8) and (5,2) is: d = 10 units

Answer:

[tex]Tree = 17ft[/tex]

Step-by-step explanation:

Given

[tex]Wall = 4ft\ 3in[/tex]

[tex]Wall\ Shadow = 6ft[/tex]

[tex]Tree\ Shadow = 24ft[/tex]

Required:

Determine the height of the tree

To do this, we make use of the following equivalent ratios

Wall : Wall Shadow = Tree : Tree shadow

Substitute values for Wall, Wall Shadow and Tree Shadow

[tex]4ft\ 3in : 6ft = Tree : 24ft[/tex]

Convert all units to ft

[tex]4ft+ 0.25ft : 6ft = Tree : 24ft[/tex]

[tex]4.25ft : 6ft = Tree : 24ft[/tex]

Convert to fractions

[tex]\frac{4.25ft}{6ft} = \frac{Tree }{ 24ft}[/tex]

Cross Multiply

[tex]Tree * 6ft = 4.25ft * 24ft[/tex]

[tex]Tree * 6ft = 102ft^2[/tex]

Make Tree the subject

[tex]Tree = \frac{102ft^2}{6ft}[/tex]

[tex]Tree = \frac{102ft}{6}[/tex]

[tex]Tree = 17ft[/tex]

Hence, the tree is 17ft tall

Answer:

Luis leaves home first and he leaves 5 minutes before Bianca

Step-by-step explanation:

dL (distance travelled by Luis) = 900 m

sL(Luis'd speed) = 1.5 m/s

tL = time taken by Luis = dL/sL =  900/1.5 = 600 seconds =  10 mins

So Luis would need to leave home at 8:45 am

dB = 1.5 km = 1500 m

sB = 5 m/s

tB = dB/sB = 1500/5 = 300 seconds = 5 minutes

So Biance would leave home at 8:50 am

Answer:

3/8ths cup

Step-by-step explanation:

take 3/4 and times that by 2 then you get 6/8th and then take half of the 6 out and get 3/8th

Answer:

A vacuum

Step-by-step explanation:

Answer:

deed

Step-by-step explanation:

Answer:

Step-by-step explanation:

sorry need the points

Answer:

Step-by-step explanation:

The $50 cleanup fee is a "fixed cost."

The "$30 per-person fee is a "variable cost."  That is, it varies with the number of people.

"within"  means "less than or equal to"

Cost = $50 + $30x       [where x = number of people]

Cost ≤  $4500              ["stay within their budget"]

$50 + $30x ≤ $4500           [substitute for cost]

 $30x ≤ $4450      [subtract $50 from both sides retains sense of inequality]

   x ≤ 148.3333     [divide by +$30 retains sense of inequality]

Mark and Heather may invite up to 148 guests.

     [note:  to be "≤," always truncate, never round up]

Check:

 148 people for $30 each + $50 is $4440+$50 = $4490.

One more person makes it $4520 -- that is too much.

There we go, my bad

Answer:

Step-by-step explanation:

First we need a linear equation for the situation. 50 cleanup fee applies regardless of how many people they have.  Even if NOBODY shows up, they will be charged $50, so $50 is our y-intercept. If they are charged $30 per person, and we are looking for the number of people they can invite, x will represent the number of people and y will represent the cost of everything. The linear equation is

y = 30x + 50. If they have 4500 to spend, then

4500 = 30x + 50, and now solve it for x:

4450 = 30x and now divide by 30 to get

148 1/3 = x. Now, you can't invite a third of a person, so it would be safe to invite 148 people and you won't go over your budget.

Answer:

im pretty sure its 4.04 x 1.7 = 6.868

Round that and its $7.00

Answer:

a. 76 b. 52

Step-by-step explanation:

The perimeter of a rectangle is the sum of its four sides.

Now all rectangles have a width and a length.

To find the perimeter it is 2 width + 2 length or 2W +2L.

So if the Perimeter P = 344 and Width W = 76 and P = 2W + 2L

Then...

2(76) + 2L = 344 multiply 2 and 76

2L + 152 = 344 subtract 152 from both sides

2L = 192 divide both sides by 2

L = 96

The length is 96.

The equation of an area of a rectangle is A or  area = width x length or W x L

So the equation is A = W x L

If the area is 4732 and the length is 91 then

91W = 4732 divide both sides by 91

W = 52

The width is 52.

Hope that helps, good luck with your homework!

Answer:

x > -6.33

Step-by-step explanation:

-3x + 4 < 25

-3x + 4 - 4 < 25 - 4

-3x < 19

-3x/3 < 19/-3

x > -6.33

Answer:

x> -7

Step-by-step explanation:

Subtract 4 from both sides:

−3x+4−4<25−4

Simplify:

−3x<21

Multiply both sides by −1 (reverse the inequality)

(−3x)(−1)>21(−1)

Simplify again:

3x>−21

Divide both sides by 3

(3x/3) >(−21/3 )

Simplify again to get the result!

x > -7

Answer:

2x−y=5

Step-by-step explanation:

Answer:

592.83 ft^2

Step-by-step explanation:

First estimate the area of the rectangle:

Area rectangle = Base x Height = 20 * 36 = 720 ft^2

and then subtract from it the area of a semi-circle of radius 18/2 = 9 ft

Using the formula for the semicircle's area:

Semi-circle's area= pi * R^2 / 2 = 3.14 * 9^2 / 2 = 127.17 ft^2

Such gives us:

720 ft^2 - 127.17 ft^2 = 592.83 ft^2

Answer:

(330) -4 (-45) (390)

Step-by-step explanation:

Answer:

30 lbs.

Step-by-step explanation:

There is a much easier way to do this involving percentages, but I hate percentages so here is my way.

The adult weight will be 100% and the puppy is currently around 30%. If you multiply 30% by 3, you get 90% which is almost 100%.

So I multiplied 9 by 3 to get 27 lbs.

Now I need to get the remaining 10%. 9 lbs is 30%, soto get to 10%, I divide 30% by 3. I divided the 9 lbs by 3 to get 3 lbs.

Add the two numbers together: 27+3=30 lbs

Answer: A

Step-by-step explanation:

It's on edge i got a 100%