A school basketball team has an expense account and a fundraising account. After t weeks, the balance of the expense account is (450−70t) dollars and the balance of the fundraising account is (275+48t) dollars.

a. Write an expression in simplest form that represents the total amount (in dollars) in both accounts after t weeks.

Answer: y = 5/6x - 2

Step-by-step explanation:

Y =mx + b

Step 1 find slope also known as m:

Y2 - y1 / x2 - x1

3-(-7)/6-(-6) = 10/12 can be reduced to 5/6

Step 2 find b:

3 = 5/6 (6) + b

3 = 30/6 + b

3 = 5 + b

-5 - 5

-2 = b

Step 3 write equation:

Y = 5/6x - 2

Answer:

The slope of NP is [tex]\frac{-5}{7}[/tex] ⇒ B

Step-by-step explanation:

In square MNPR

∵ MN and NP are adjacent sides

∴ MN ⊥ NP

∵ M = (3, 8) and N = (-2, 1)

∴ x1 = 3 and y1 = 8

∴ x2 = -2 and y2 = 1

→ Use the rule of the slope above to find the slope of MN

∴ m(MN) = [tex]\frac{1-8}{-2-3}[/tex]

∴ m(MN) = [tex]\frac{-7}{-5}[/tex]

∴ m(MN) = [tex]\frac{7}{5}[/tex]

∵ MN ⊥ NP

∴ The product of their slopes = -1

→ Reciprocal the slope of MN and change its sign

∴ m(NP) = [tex]\frac{-5}{7}[/tex]

∴ The slope of NP is [tex]\frac{-5}{7}[/tex]

Answer:

90

Step-by-step explanation:

i think

Answer:

90

Step-by-step explanation:

Answer:

n = 4752 gallons

Step-by-step explanation:

Given

Dilivery: 396 dozen gallon in a day

RequirEd

determine the number of the gallon in a day

we understand that:

n= 396 dozen

unit conversion

1 dozen = 12

so

n = 396 dozen gallon

n = 396× 12

n = 4752 gallons

hence 4752 gallons milk is delivered daily

Answer:

in part A the mark up in 140%

Step-by-step explanation:

so in part B  mark up the 25 dollar jacket by 140% that's 35 per jacket

divide 260 by 35 and it's 7.42... something.. so they will have to sell 8 jackets to make at least 260 dollars in total sales

Answer:

the midline is the line:

y = 0.

Step-by-step explanation:

The midline of a function is a horizontal line that divides evenly the graph of the function in two parts.

Particularly, for trigonometric functions, we usually have:

f(x) = A*sin(k*x + p) + M

Where:

A is the amplitude.

x is the variable

k is a constant related to the frequency of the function.

p is a phase shift

M is the midline of the function, which means that the line that divides evenly the graph is y = M.

For our case, we have:

y = f(x) = 3*sin(2*x - π)

Then:

A = 3

k = 2

p = -π

And we do not have a constant term in that equation, this means that:

M = 0

This means that the line that divides evenly the graph is the line y = 0.

Answer:

n = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

3n - 8 = 32 - n

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that 22 does indeed equal 22.

∴ n = 10 is the solution to the equation.

Answer:Shlong dong

Step-by-step explanation:

Answer:

The bottom choice.  0.29p + 1.59 = 5.07

Step-by-step explanation:

He only bought one notebook, therefore there doesn't need a variable assigned to it.

Pens need a variable because he buys more than one.

Answer:

120

the equation to find the area of a triangle is[tex]A[/tex] = [tex]B[/tex] · [tex]H[/tex] [tex]/ 2[/tex]

Therefore,

[tex]A=(12[/tex] · [tex]5) / 2[/tex]

[tex]A=60/2[/tex]

[tex]A=30[/tex]

There are 4 congruent triangles in this rhombus and therefore,

[tex]30[/tex] · [tex]4=120[/tex]

[tex]A=120 cm^2[/tex]

Step-by-step explanation:

Answer:

[tex]slope \: s = \frac{( {y}^{1} - {y}^{o} ) }{( {x}^{1} - {x}^{o} )} \\ s = \frac{(20 - 16)}{( - 8 + 6)} \\ s = \frac{4}{ - 2} \\ s = - 2[/tex]

Answer:

This would be the last option I think, sorry if it's wrong.

Step-by-step explanation:

Answer:last option

Step-by-step explanation:

Answer:

4 is not the constant. 2 is.

Step-by-step explanation:

In the following equation: y = 4x + 2

x and y are variables. x can be any given number, and y would be the resulting answer.

4 is not the constant, because the product it will produce varies on what x will be.

2 is a constant, because it will not change regardless what is put into x. It will continue to stay as 2.

Answer:

a function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial.

Answer:

The correct option is (c).

Step-by-step explanation:

Lillian thinks that 7x⁵ - 4x³ is the same as 3x².

Option (a) :

7x⁵ - 4x³ = 3x²

It is wrong, as we cannot say directly that they are equal.

Option (b):

7x⁵ - 4x³ ≠ 3x²

It is wrong, as we cannot say directly that they are not equal.

Option (c):

7(2)⁵ - 4(2)³ = 3(2)²

LHS,

7(32) -4(8) = 192

RHS, 12

Here, LHS ≠ RHS

It is correct.

Option (d) :

7(2)⁵ × 4(2)³ = 3(2)²

Here, multiplication is done instead of addition. So, it is wrong.

Hence, the correct option is (c).

Answer:

ang E                 alternate angles

and D                 alternate angles

CDE                    alternate angles

Step-by-step explanation:

Answer: E and D good luck :)

Answer:

9:00 pm to 6:45 am = 9 hours 45 minutes = 9.75 hours

Water level drops 3/16" (or .1875") every 9.75 hours

.1875 / 9.75 = 0.0192307692  inches per hour

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

Distribute on both sides

combine constants

combine variables

then divide

Answer:

2(9x - 1) = 99-7(3 - 4x)

Step-by-step explanation:

2(9x + -1) = 99 + -7(3 + -4x)

Answer:

The probability that event B will occur is 0.45

Step-by-step explanation:

Given;

probability that event A occurs, P(A) = 0.4

the probability that events A and B both occur, P(A ∩ B) = 0.25

the probability that either event A or event B occurs, P(A ∪ B) = 0.6

To determine the probability that event B will occur, we use probability addition rule;

P(A) + P(B) = P(A ∩ B) + P(A ∪ B)

0.4 + P(B) = 0.25 + 0.6

0.4 + P(B) = 0.85

P(B) = 0.85 - 0.4

P(B) = 0.45

Therefore, the probability that event B will occur is 0.45

Answer:

1. 6

Step-by-step explanation:

500 – 350 = 150

150/25 = 6

Answer:

6 lawns

Step-by-step explanation:

She needs $500 and already has $350 saved

500-350=150

She still needs $150 to reach her goal

150/25 = 6  ($25 for each lawn)

Answer:

lool

Step-by-step explanation:

12) 4x- y=8

5x+y=1

Correct.

Answer:

it is 20 months

Step-by-step explanation:

GOT IT RIGHT ON KHAN and

150,000 divided by 5 so 30,000 then 30,000 divided by 15

Each video gets an average of 1,500,000 views.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Each video gets an average of 1,500,000 views

Video get Views = 3 x 1,500,000

                            = 4,500,000 Views

Total Views = 90,000,000 Views

Number of months  = Total Views/Views per month

Number of months  =  90,000,000 / 4,500,000

                                 =  20 Months

Hence, For 20 Months Dagogo need to upload videos to get 90,000,000 views on his channel.

Learn more about Ratio here:

https://brainly.com/question/13419413

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Answer:

I think 53

Step-by-step explanation:

If the biggest line is 100 the do 100-47=53

Sorry if I’m wrong

Answer:

Down 4 unit (see discussion, could be right 4 units)

Step-by-step explanation:

f(x) = x

G(x) = x - 4

Discussion:

if f(x) = x      g(x) = f(x-4) = x-4  ... shift to right 4 units

or g(x) = f(x) - 4 = x -4    ... shift down 4 units

Answer:

The answer is 7.4

Step-by-step explanation: I don’t really know a better way to tell you the explanation than just tell you the answer

The simplified expression is 7 3/5 or 7.6.

To simplify the expression using the order of operations (also known as PEMDAS), follow these steps:

Step 1: Simplify within parentheses (if any).

There are no parentheses in the expression, so we move to the next step.

Step 2: Perform multiplications and divisions from left to right.

First, let's divide 15 by 5:

15 ÷ 5 = 3

Step 3: Perform additions and subtractions from left to right.

Now, let's add 4 3/5 and 3:

4 3/5 + 3

To add the whole numbers, 4 and 3, we get 7.

To add the fractions, we need a common denominator. The common denominator of 5 and 1 is 5. Converting both fractions to have a denominator of 5:

4 3/5 + 3 = 4 3/5 + 15/5

Now, we can add the fractions:

4 3/5 + 15/5 = (4*5 + 3 + 15) / 5

             = (20 + 3 + 15) / 5

             = 38/5

Step 4: Express the result in mixed number form (if necessary).

38/5 can be expressed as a mixed number by dividing the numerator (38) by the denominator (5). The quotient is the whole number, and the remainder is the numerator of the fraction:

38 ÷ 5 = 7 with a remainder of 3

Therefore, the simplified expression is 7 3/5, which is equivalent to 7.6 as a decimal.

To know more about expression, refer here:

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Answer:

45

Step-by-step explanation:

.

..

...

....

........

Answer:

45

Step-by-step explanation:

Answer:

7/20

Step-by-step explanation:

90/100-2/5

=1/2

1/2-15/100

=7/20