Type the integer that makes the following subtraction sentence true for BRAINLIEST EVEN IF WRONG!!!!

Answer:

Part A:  $45, Part B:  $8

Step-by-step explanation:

Part A: 60 - 10 = 50

50 * 0.30 = 15

60 - 15 = $45

Part B:  60 * 0.30 = 18

18 - 10 = $8

Answer: part a: $35

part b $32

Step-by-step explanation:

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

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

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Answer:

\(-4x+28\)

Step-by-step explanation:

\(18-2(x+x-5)\)

\(18+(-2)(x)+(-2)(x)+(-2)(-5)\)

\(18+-2x+-2x+10\)

\(-2x-2x+10+18\)

\(=-4x+28\)

Answer: D

Step-by-step explanation:

Answer: Read carefully.

Step-by-step explanation:

STEP 1

determine inequality

Car rental= $30 per day

Mileage= $0.20 per mile

m= number miles driven

Add daily rental charge to the quantity of (number of miles driven multiplied by the per mile charge). This has to be less than or equal to the budget of $94 a day.

$30+ ($0.20 * m) ≤ $94

$30 + $0.20m ≤ $94

Hope this helps! Have an amazing day!

The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

From the graph, the x coordinate 2, have a y coordinate of 120. Hence:

The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.

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a) Either 3 or 4 questions did Mike answer correctly.

b) Either 7 or 8 questions did Sheila answer correctly.

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

a) Let mike did x correct

then, incorrect will be (10- x)

The equation is:

Now, 5x + (10 - x) (-3) = 0

=> 5x - 30 + 3x = 0

=> 8x = 30

=> x = 30/8

=> x > 3 and x < 4

b) Let Sheila did y correct

then, incorrect = (10 - y)

Now, 5y + (10 - y) (-3) = 32

=> 5y - 30 + 3y = 32

=> 8y = 62

=> y > 7 and y< 8

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The given question is incomplete, complete question is:

In a school test consisting of 10 questions, 5 points are awarded for a correct answer but 3 points are deducted for an incorrect answer.

A blank answer scores (). Mike scored a total of () and he did not leave all of the answers blank. (a) How many questions did Mike answer correctly? _ _ _ _ _ _ _ _ Sheila scored a total of 32. (b) How many questions did Sheila answer correctly?

Answer: 1unit.

Step-by-step explanation:

Area of the rectangle

A = length × width

Since the area = 20 and the width is x and the length is x + 1.

We now substitute for the values in the above formula and solve for x

20 = x × x + 1

20 = x( x + 1 ), we now open

20 = x² + x , then re arrange.

x² + x - 20 = 0, this is a quadratic equation.we solve for x using quadratic means

Here, I am going to solve using factorization by grouping

x² + x - 20 = 0

x² + 5x - 4x - 20 = 0

x( x + 5 ) - 4( x + 5 ) = 0

( x + 5 )( x - 4 ). = 0

Therefore, the solution for x will be

x = -5 or 4, but x can not be -5 ( negative), so x = 4.

Now the difference between width and the length can easily be calculated from the above,

Width = 4 (x) , and length = 5 (4 + 1),

Now difference will be

5 - 4 = 1unit.

Answer:

The probability that all 25 will get the type of book they want from current stock is 0.024

Step-by-step explanation:

21% of all students who have to buy a text for a particular course want a new copy (the successes!), whereas the other 79% want a used copy.

p= 0.21

q=0.79

Let x be the no. of students who want a new copy

x can take values 15,14,13,12,11,10

We are supposed to find probability that all 25 will get the type of book they want from current stock

\(P(X=x) =\sum_{x=10}^{15} (0.21)^x (0.79)^{25-x}=0.024\)

Hence the probability that all 25 will get the type of book they want from current stock is 0.024

The constant of proportionality for the relationship between x and y is 1.5 respectively.

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

To get the value of "k" in direct proportionality, use the equation b = ka.

K = b/a is the result of this equation. mentioning indirect proportion To determine the value of "k" in indirect proportionality, use the equation b = k/a.

So, the formula to find the constant of proportionality:

k=y/x

Now,

Insert values as follows:

k=y/x

k=0.750/0.50

k=1.5

Therefore, the constant of proportionality for the relationship between x and y is 1.5 respectively.

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Answer:answer c

Step-by-step explanation:

Answer:

first option

Step-by-step explanation:

differentiate using the power rule

\(\frac{d}{dx}\) (a\(x^{n}\) ) = na\(x^{n-1}\)

then

\(\frac{dy}{dx}\) = \(\frac{dy}{dt}\) × \(\frac{dt}{dx}\) = \(\frac{\frac{dy}{dt} }{\frac{dx}{dt} }\)

y = t² + 4t

\(\frac{dy}{dt}\) = 2t + 4

x = t - 3

\(\frac{dx}{dt}\) = 1

then

\(\frac{dy}{dx}\) = \(\frac{2t+4}{1}\) = 2t + 4

Answer:

2t + 4

Step-by-step explanation:

A parametric equation is one where x and y are defined separately in terms of a third variable (often the parameter t).

To find dy/dx from parametric equations, differentiate each equation with respect to the parameter t, then use the chain rule:

\(\boxed{\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}y}{\text{d}t} \times \dfrac{\text{d}t}{\text{d}x}}\)

Differentiate the two parametric equations with respect to t:

\(x=t-3 \implies \dfrac{\text{d}x}{\text{d}t}=1\)

\(y=t^2+4t \implies \dfrac{\text{d}y}{\text{d}t}=2t+4\)

Use the chain rule to combine them:

\(\begin{aligned}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{\text{d}y}{\text{d}t} \times \dfrac{\text{d}t}{\text{d}x}\\\\&=(2t+4) \times \dfrac{1}{1}\\\\&=2t+4\end{aligned}\)

Therefore:

\(\boxed{\dfrac{\text{d}y}{\text{d}x}=2t+4}\)

Answer:

p<7

Step-by-step explanation:

$5 per pound

7 pounds equals $35

$5p<$35

p<35/5

p<7

The amount you have after 18 months is $ 1143.96 .

what is compound interest?

Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.

\(A=P {(1 +\frac{r}{n})^{nt} }\)

Given:

P = 1000 , r in decimal  = 0.09 ,

n = 12 ,  t = 1.5 ( 18 months = one and a half years).

Substituting the values into the formula:

A = 1000 ( 1 + 0.09/ 12 ) ^[12 ( 1.5 )]          

  ≈ 1000 ( 1.143960 )          

  = 1143.960

Rounding to the nearest cent, we get $ 1143.96 .

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Answer:

a=-3

b=-63

c= 2

d=8

e=9

f=128

h=-21

i=24

Step-by-step explanation:

Answer: 68y+106=36-y

Answer: 963 cm²

Step-by-step explanation:

      We will find the area of the yellow rectangle and then subtract the portion that is missing.

      A = LW

      A = (36 cm)(39 cm)

      A = 1,404 cm²

      Missing portion's area.

      A = LW

      A = (21 cm)(21 cm)

      A = 441 cm²

      Subtracting.

      1,404 cm² - 441 cm² = 963 cm²

Answer:

\( \sqrt{105} \)

Step-by-step explanation:

Using the geometric nean theorem, if we let the hypotenuse be x, then:

\( \frac{7}{x} = \frac{x}{15} \)

\( {x}^{2} = 105\)

\(x = \sqrt{105} \)

The number whose sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed is 32

the number can be expressed as 10x + y

x + y = 5

(10x+y) - 9

= 10y+x

x + y = 5

9x - 9y = 9

x + y = 5

x - y = 1

Add the equations

2x = 6

x = 6/2

x = 3

substitute into

x + y = 5

3 + y = 5

y = 5 - 3

y = 2

Therefore, the unknown number is 32.

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Answer:

D. d ≈ 9.4

Step-by-step explanation:

[] We can use the distance formula to solve

-> The distance formal is attached.

\(d = \sqrt{(4-9)^{2}+ (2-10)^{2} }\)

\(d = \sqrt{(-5)^{2}+ (-8)^{2} }\)

\(d = \sqrt{25+ 64 }\)

\(d = \sqrt{89}\)

d ≈ 9.4

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Hey there! I'm happy to help!

To find the area of a triangle you multiply the base by the height.

We see that our base is 5 units long because it stretches from -6 to -1 on the coordinate plane. Our height is 8 because the y value goes from 3 to -5.

To find the area of a triangle, you just multiply the base by the height then divide by 2.

5(8)=40

40/2=20

The area is 20 square units.

Have a wonderful day! :D

The correct option is A shopping center surveys conducted the day before Christmas do not guarantee that every shopper in the population will be included in the sample.

Given that,

The day before Christmas, a reporter from a nearby television station goes to the city's brand-new, upmarket retail center to speak with customers. The first 25 customers he encounter outside one of the mall's department stores are questioned. He inquires as to whether they have a positive, neutral, or negative overall opinion of Christmas shopping.

We have to select the correct option why it might be dangerous to assume that the first 25 customers at this store are representative of all customers in the city.

We know that,

A non-probability sampling technique called convenience sampling includes taking a sample from the nearest area of the population. It is a convenience sample because the reporter in the scenario asked the first 25 people he saw outside one of the department stores at the mall. Each candidate does not have an equal chance of being included in the convenience sample.

The right response is option (A): Shopping center surveys conducted the day before Christmas do not guarantee that every shopper in the population will be included in the sample.

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Answer:

C. 35 days

Step-by-step explanation:

there are 7 days in a week so 5 weeks is 5 times 7 which is 35

Answer:

\(C = 48.6\)

Step-by-step explanation:

Given

\(Area= 4.5m^2\)

\(a =4\)

\(b = 3\)

Required

Find angle C

The area of the triangle will be calculated using:

\(Area = \frac{1}{2}ab \sin C\)

So, we have:

\(4.5= \frac{1}{2} * 4 * 3 * \sin C\)

\(4.5= 6 * \sin C\)

Divide both sides by 6

\(0.75= \sin C\)

Take arc sin of both sides

\(\sin^{-1}(0.75)= C\)

\(48.6 = C\)

\(C = 48.6\)

Answer: 135.8

Step-by-step explanation:

the formula for this is πr²H/3

π4.4^2x6.7/3

407.5/3

135.8

Freya should budget a maximum of $472.50 for housing expenses based on the guideline of spending 30% of her monthly income.

When budgeting for housing, it is generally recommended to allocate a certain percentage of your income towards housing expenses. The recommended percentage varies depending on factors such as location, personal financial goals, and individual circumstances.

A common guideline is to spend no more than 30% of your monthly income on housing expenses. To determine the maximum amount Freya should budget for housing, we can calculate 30% of her monthly income:

Maximum housing budget = 30% of $1575

Maximum housing budget = 0.30 × $1575

Maximum housing budget = $472.50

Therefore, Freya should budget a maximum of $472.50 for housing expenses based on the guideline of spending 30% of her monthly income.

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Answer:0.093333333333

Step-by-step explanation: