Jamal has a plan to save money for a trip. Today, Jamal deposits $8.00 into the savings account. Each week, Jamal will add $5.00 to the amount that is deposited into the savings account. The table below shows the relationship between the number of weeks and how much money, in dollars, Jamal deposits into the savings account. Week 0 1 2 3 4 Deposit (Dollars) 8 13 18 23 28 Let f(x) represent the amount of money Jamal deposits into saving account at the end of x weeks. Based on the table, what is f(8)?

Answer:

Step-by-step explanation:

With the amount x of portraits the daily balance is:

The total is:

Correct choices are A and C

With the amount x of portraits the daily balance is:

- $22.00

+ $15.50x

- $3.25x

15.50x - 3.25x - 22.00 ⇒ 12.25x - 22.00

Answer:

......

Step-by-step explanation:

Answer:

It is D

Step-by-step explanation:

I am not exactly sure how to explain but i'll try.

The 2 dollars is added to her price, so it is not A.

The 25 dollars is every day, so it is mutlipled by x. So its not B.

The 2 dollars is not everyday like the 25 dollars, so its not C b/c its not everyday.

Stacy sold 15 children tickets and 30 adult tickets.

The tickets are $7 for adults and $4 for children.

She sells twice as many adult tickets as children tickets and bring in a total of $270.

Therefore,

let

number of children ticket sold = x

number of adult ticket sold = 2x

7(2x) + 4(x) = 270

14x + 4x = 270

18x = 270

x = 270 / 18

x = 15

The number of children ticket sold = 15

The number of adult ticket sold = 15 × 2 = 30

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Answer:

49%.

Step-by-step explanation:

2205      100        220500

........... x ..........  =  ..................  = 49 (49%).

4500        1              4500

The theater filled up with 49% of seats with 6th grade students.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a middle school that took all of its 6th grade students on a field trip to see a symphony at a theater that has 4500 seats. The students filled 2205 of the seats in the theater.

Assume that the theater filled up [x]% of seats at the theater. Then, we can write -

[x]% = (2205/4500) x 100

[x]% = 0.49 x 100

[x]% = 49%

Therefore, the theater filled up with 49% of seats with 6th grade students.

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The probability of getting an odd number on the first roll and less than 3 on the second roll is 1/6.

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of getting an odd number on the first roll is 3/6

since there are three odd numbers (1, 3, 5) out of six possible outcomes (1, 2, 3, 4, 5, 6).

The probability of getting less than 3 on the second roll is 2/6, since there are two possible outcomes (1, 2) out of six.

To find the probability of both events happening, we multiply the probabilities:

P(odd on first roll and less than 3 on second roll) = P(odd on first roll) × P(less than 3 on second roll)

= (3/6)×  (2/6)

= 1/6

Therefore, the probability of getting an odd number on the first roll and less than 3 on the second roll is 1/6.

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Answer:

5 x + 25 ≤ 20

Step-by-step explanation:

Simplify 5  +  5  (  x  +  4  ) .

5  + 5 x  +  20  ≤  20

Add  5  and 20 .

the solution to the system of equation from the replacement set is -5

Given the equation −6z+1=−4−7z, we are to find the value of z from the given equation:

Given

−6z+1=−4−7z

Collect the like terms;

-6z + 7z = -4 - 1

Simplify the result

z = -4 -1

z= -5

Hence the solution to the system of the equation from the replacement set is -5

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Answer:

-5

Step-by-step explanation:

I took the quiz in k12

Answer:ITS THE SECOND ONE

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

i took the quiz

[tex]\mathfrak{-2(x-6)=6} [/tex]

[tex]\mathfrak{-2x+12=6} [/tex]

[tex]\mathfrak{-2x=6-12} [/tex]

[tex]\mathfrak{-2x=-6} [/tex]

[tex]\boxed{\mathfrak{x=3} }[/tex]

Using the normal distribution and the central limit theorem, it is found that there is a 0.0571 = 5.71% probability of selecting a sample  of 40 two-bedroom apartments and finding the mean to be at least $275 per month.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability of selecting a sample  of 40 two-bedroom apartments and finding the mean to be at least $275 per month is the p-value of Z when X = 275, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{275 - 250}{\frac{100}{\sqrt{40}}}[/tex]

[tex]Z = 1.58[/tex]

[tex]Z = 1.58[/tex] has a p-value of 0.9429.

1 - 0.9429 = 0.0571

0.0571 = 5.71% probability of selecting a sample  of 40 two-bedroom apartments and finding the mean to be at least $275 per month.

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Answer:

c

Step-by-step explanation:

Answer:

-5+

Step-by-step explanation:

Slope of the line passing through the points (1, 4) and (3, 2) is -1.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The line passing through the points (1, 4) and (3, 2)

Plug in the points in the slope formula.

Slope = 2-4/3-1

=-2/2

=-1

Hence, slope of the line passing through the points (1, 4) and (3, 2) is -1.

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Answer:

y=−9/7x+18/7

Step-by-step explanation:

2x+7y+7x=18

9x+7y=18

Step 1: Add -9x to both sides.

9x+7y+−9x=18+−9x

7y=−9x+18

Step 2: Divide both sides by 7.

7y/7=−9x+18/7

y=−9/7x+18/7

Given :

To Find :

Solution :

[tex]\qquad { \dashrightarrow \: { \sf{2x + 7y + 7x = 18}}}[/tex]

Adding the like terms :

[tex]\qquad { \dashrightarrow \: { \sf{ 7y + 9x = 18}}}[/tex]

Transposing 9y to the other side which then becomes negative :

[tex]\qquad { \dashrightarrow \: { \sf{ 7y = 18 - 9x}}}[/tex]

Dividing both sides by 7 :

[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{7y}{7} = \dfrac{18 - 9x}{7} }}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ y = \dfrac{18 - 9x}{7} }}}[/tex]

⠀

Therefore, the value of y = 18 – 9x/7 .

Answer:

8, 2.

Step-by-step explanation:

2*4 is 8 so I think line them up together and 12/6 is 2

Answer:

-3/7,0

Step-by-step explanation:

Answer:

I'd say none, as we're missing something in this problem. Make sure you've included everything to solve this problem. Thanks.

Based on the information given, the student should score at least 77 in the last exam.

Since the student wants to get an average of at least 80. Therefore, the total scores should be:

= 80 × 3 = 240

The student received scores of 85 and 78 on the first two exams. The addition of this will be:

= 85 + 78 = 163

Therefore, his score in the last exam should be:

= 240 - 163

= 77

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Answer:

Step-by-step explanation:

X/8 = 5

X = 40

Adding 1 to the largest number (or any other of the numbers, for that matter) makes the sum 41 and the average 41/8 or 5 1/8.

The average of a given number is the sum of the given numbers divided by the number of numbers in the given set.

The resulting average of the eight numbers after adding 1 to the largest number is 5.125.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

Example:

2, 3, 4, 5

The average number of 1, 2, 4, and 5 is 3.

i.e 12 ÷ 4 = 3

We have,

The average of eight different numbers is 5.

Let the sum of 8 different numbers be M.

Average = M / 8

5 = M / 8

M = 8 x 5

M = 40

Now,

If 1 is added to the largest number.

This means,

40 + 1 = 41

The resulting average of the eight numbers:

= 41/8

= 5.125

Thus,

The resulting average of the eight numbers after adding 1 to the largest number is 5.125.

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Answer:

y = x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , then

y = x + c ← is the partial equation

To find c substitute (4, 1 ) into the partial equation

1 = 4 + c ⇒ c = 1 - 4 = - 3

y = x - 3 ← equation of line

square: A=s^2

triangle: A=(1/2)bh

rectangle: A=lw

parallelogram: A=bh

Answer:

first let's solve for x

x + (x + 30) + 2x = 180

4x + 30 = 180

-30          -30

4x = 150

/4      /4

x = 37.5

Now solve for the angle measures:

(x + 30)    =    (37.5 + 30) = 67.5

2x       =        2(37.5) = 75

x = 37.5

Answer:

X= 37.5

Step-by-step explanation:

Given that

Sin θ = a/b

LHS = Sec θ + Tan θ

⇛(1/Cos θ) + (Sin θ/ Cos θ)

⇛(1+Sin θ)/Cos θ

We know that

Sin² A + Cos² A = 1

⇛Cos² A = 1-Sin² A

⇛Cos A =√(1-Sin² A)

LHS = (1+Sin θ)/√(1- Sin² θ)

⇛ LHS = {1+(a/b)}/√{1-(a/b)²}

= {(b+a)/b}/√(1-(a²/b²))

= {(b+a)/b}/√{(b²-a²)/b²}

= {(b+a)/b}/√{(b²-a²)/b}

= (b+a)/√(b²-a²)

= √{(b+a)(b+a)/(b²-a²)}

⇛ LHS = √{(b+a)(b+a)/(b+a)(b-a)}

Now, (x+y)(x-y) = x²-y²

Where ,

On cancelling (b+a) then

⇛LHS = √{(b+a)/(b-a)}

⇛RHS

⇛ LHS = RHS

Sec θ + Tan θ = √{(b+a)/(b-a)}

Hence, Proved.

Answer: If Sinθ=a/b then Secθ+Tanθ=√{(b+a)/(b-a)}.

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Answer:

x = -4

y = -4

Step-by-step explanation:

L1     x - 5y = 16

L2  4x - 2y = -8

4*L1 - L2

4x - 20y = 64

-4x + 2y  =    8

-----------------------

      -18y = 72

          y = 72 / -18

          y = -4

x - 5y = 16

x = 16 + 5y

x = 16 + 5(-4)

x = 16 - 20

x = -4

Answer: I don’t know :(

Step-by-step explanation:

Answer:

8

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