Combine like terms to simplify the expression:
y + 5 − y + 4 = ______



HELP!!!!!

Answer:

43/24

Step-by-step explanation:

The solving steps are as follows:

[tex] - \dfrac{3}{8} + \dfrac{13}{6} \\ = \dfrac{13}{6} - \dfrac{3}{8} \\ = \dfrac{13 \times 4 - 3 \times 3}{24} \\ = \dfrac{52-9}{24} \\ = \boxed{\frac{43}{24} }[/tex]

Answer:

43/24

Step-by-step explanation:

LCM of 6 and 8 = 24

[tex]\sf \dfrac{-3}{8}=\dfrac{-3*3}{8*3}=\dfrac{-9}{24}\\\\\\\dfrac{13}{6}=\dfrac{13*4}{6*4}=\dfrac{52}{24}\\\\\\\dfrac{-3}{8}+\dfrac{13}{6}=\dfrac{-9}{24}+\dfrac{52}{24}[/tex]

              [tex]\sf = \dfrac{-9+52}{24}\\\\= \dfrac{43}{24}\\\\[/tex]

Answer:

“the product of 6.2 and the sum of 3c and 8'' will be algebraically represented as:

⇒ (6.2) (3c + 8)

We know that the numbers that we multiply are the factors of the product.

Here, (6.2) and (3c+8) are the factors of the expression.

Step-by-step explanation:

Let us breakdown and translate the word expression into an algebraic expression.

The sum of 3c and 8 is algebraically represented as:

⇒ 3c + 8

Thus,  “the product of 6.2 and the sum of 3c and 8'' will be algebraically represented as:

⇒ (6.2) (3c + 8)

We know that the numbers that we multiply are the factors of the product.

Here, (6.2) and (3c+8) are the factors of the expression.

Answer:

3/14

Step-by-step explanation:

4 + 3 + 7 = 14

The  blue marbles are 3,

So the probability will be total blue  ÷ total marble

3 / 14      which is D

Answer:

Step-by-step explanation:

d=80 ft

r=80/2=40 ft

volume of cylinder=π r²h,where h is height or depth of cylinder.

π×40²×h=825,000

πh=825,000/40²=4125/8

h=4125/(8π)≈164.1285≈164.13 ft

The depth of water in the reservoir is approximately 21.92 feet.

To find the depth of water in the reservoir, we can use the formula for the volume of a cylinder:

Volume = π * r^2 * h

Where:

Volume is the total volume of water in the reservoir (in gallons),

π (pi) is a mathematical constant approximately equal to 3.14159,

r is the radius of the reservoir (half of the diameter), and

h is the depth of water in the reservoir (in feet).

Given:

Diameter = 80 feet

Volume = 825,000 gallons

We first need to calculate the radius (r) of the reservoir:

Radius (r) = Diameter / 2 = 80 feet / 2 = 40 feet

Now, we can convert the volume from gallons to cubic feet because we need the measurements to b²e in consistent units:

1 gallon ≈ 0.13368 cubic feet

Volume (in cubic feet) = 825,000 gallons * 0.13368 cubic feet/gallon ≈ 110,127 cubic feet

Now, we can find the depth (h) using the formula:

110,127 cubic feet = π * (40 feet)² * h

Solving for h:

h = 110,127 cubic feet / (π * 40 feet)² ≈ 110,127 cubic feet / 5026.5482 square feet ≈ 21.92 feet

Therefore, the depth of water in the reservoir is approximately 21.92 feet.

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Answer:

thanks for the free points! anways but i think it s c

Step-by-step explanation:

its c

Answer:

the correct answer is: c (-3,-6)

The total amount that we need to pay back after the end of 3 years with principal amount as $ 680 and simple interest as 3.94 % will be $ 760.376.

We are given that:

Principal amount = P = $ 680

Time period = t = 3 years

Simple interest rate = r =  3.94 %

We know that, the formula for simple interest is given by:

SI = P × r × t

SI = 680 × 3.94 % × 3

SI = 80.376

Amount will become:

Amount = $ 680 + $ 80.376

Amount = $ 760.376

Therefore, we get that, the total amount that we need to pay back after the end of 3 years with principal amount as $ 680 and simple interest as 3.94 % will be $ 760.376.

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Answer:

I believe it would be 8

Step-by-step explanation:

Step-by-step explanation:

it should be 8 but the calculation is not coming yet.....

Answer:

[(1.7×106)÷(2.63×105)]+7.33

=7.9825439073

I HOPE IT HELP YOU

Answer:

87, if it were 45 degrees,  it would be 90, closest to 90 is 87

Answer:

87 feet

Step-by-step explanation:

We have an angle that's 44 degrees and we know that Susan is 90 feet from the base of the tree. We need to know the height of the tree, which is the value opposite from the angle we know.

Use tangent to find height.

tan (44) = x / 90   then multiply both sides by 90

x = tan (44) * 90   evaluate tan(44) and substitute into the equation

x = 86.911

round to nearest whole foot: 87 feet

The 27th term is $173.

In an arithmetic progression the difference between the two consecutive terms is same.

Here it is given that the first term of the AP which is represented by a is $17.

And Max adds $6 after every week in his fund so the common difference d is $6.

We know the general expression to find the nth term of an AP is

= a+(n-1)d

Here we have to find the 27th term. so the value of n will be 27.

Now the 27th term of the AP = 17+(27-1)6

                                             = 17+156

                                             = $ 173

The balance in the fund after 27th week will be $173.

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Answer:

-(y+3)=(x-2)^3

Step-by-step explanation:

Transformed function B is f' ( x ) = - ( x - 2 )³ + 1

The transformed function is given by y = - ( x - 2 )³ + 1

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:  y=f(x+c) (same output, but c units earlier)

Right shift by c units:  y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the parent function be denoted as A

Now , the value of A is

y = x³

Let the transformed function be denoted as B

Now , the value of B is calculated by

Step 1 :

A reflection across the x-axis

So , the function changes to g ( x ) = -x³

Step 2 :

A translation 1 unit up

Up by d units: y = f(x) + d

So , the function changes to h ( x ) = -x³ + 1

Step 3 :

A translation of 2 units right

Right shift by c units:  y=f(x-c)

So , the function changes to f' ( x ) = - ( x - 2 )³ + 1

Therefore , the value of B is f' ( x ) = - ( x - 2 )³ + 1

Hence , the transformed function B is f' ( x ) = - ( x - 2 )³ + 1

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The unit rate is 22.5 cents per oz .

The unit rate of any quantity is calculated by dividing (total cost) with (total units purchased).

For Example : If 12 bananas cost $120 then 1 banana will cost 120/12=$10.

In the given question

16oz bottle costs $3.59.

As we have to find the unit rate in cents per oz , we first convert $3.59 to cents.

We know that

$1=100cents

$3.59=100*3.59

=359cents

So the price of 16 oz bottle = 359 cents

Unit rate = (total price ) / (units purchased)

Substituting the total price as 359 cents and units purchased as 16oz.

Unit rate = 359/16

=22.4375

≅22.5

Therefore , the unit rate is 22.5 cents per oz.

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Answer:

2.03

Step-by-step explanation:

Answer:

2j = 36

Step-by-step explanation:

First, look for keywords.

"Product" means you multiply, and when you multiply a number by a variable you set it up by putting them together as demonstrated. 36 is the product so it's your total.

Answer:

12.9

Step-by-step explanation:

Let's understand this,

Angle of elevation is 30° and the is standing perpendicularly, we have to find the distance from the branch to the mouse.

According to question,

cosine or cos thita = Base/Hypotenuse

Cos 30° = 15/H

0.86 = 15/H

H = 0.86 × 15

H = 12.9 (Round off 13)

Hope it helps!

Answer: 16

Step-by-step explanation:

do the parentheses first.

8 / 2 x 4

then calculate.

4 x 4 = 16

Answer:

A - a = 4, b = -3, c = 3

Step-by-step explanation:

When you substitute in a, b, and c you get

(2x - 5) (x + 2) + (4x^2 + -3x + 3)

collect like terms

(2x)(x) + (2x)(2) + (−5)(x) + (−5)(2) + 4x^2 + −3x + 3

combine like terms

2x^2 + 4x + −5x + −10 + 4x^2 + −3x + 3

(2x^2 + 4x^2) + (4x + −5x + −3x) + (−10 + 3)

6x^2 + −4x + −7

6x^2 + −4x −7

The true statement for the given graph is the vertex is (-1, -3).

A parabola is a curve where any point is at an equal distance from: a fixed point called the focus, and the fixed straight line called the directrix.

Given is a graph of a parabola, we need to determine the correct statements for the graph,

The graph is having the axis of symmetry at x = -1, so the first option is wrong.

The range y is y < 0, so the second option is also wrong,

There is no y-intercept.

Lastly, the vertex is at (-1, -3) therefore this option is correct.

Hence, the true statement for the given graph is the vertex is (-1, -3).

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Answer:

???????

Step-by-step explanation:

The interest on the P200,000 is borrowed  is 6.0000% rounded to 4 decimal places.

What is the future value of amount borrowed now?

The future value of borrowed is the initial loan plus the interest over the 1 year period that would be repaid to the lender when the matures in 1 year

FV=PV*(1+r)^N

FV=loan repayment=212,000

PV=initial loan=200,000

r=rate of interest=unknown

N=duration of loan=1

212000=200,000*(1+r)^1

212000=200,000*(1+r)

212000/200,000=1+r

1.06=1+r

r=1.06-1

r=6.0000%

15=10*(1+r)^5

15/10=(1+r)^5

1.5=(1+r)^5

1.5=(1.5)^1

(1.5)^1=(1+r)^5

divide indexes on both sides by 5

(1.5)^(1/5)=1+r

r=(1.5)^(1/5)-1

r=8.4472%

Using a financial calculator, we can determine the number of years it takes to repay the loan

I/Y=annual interest rate=5(without the % sign)

PMT=50000(annual payment)

PV=loan amount=-200000

FV=future value which is not applicable in this instance

CPT(press compute)

N= 4.5735  years

N=number of years of repayment=30

PMT=8273.59(annual payment)

PV=loan amount=-85000

FV=future value which is not applicable in this instance

CPT(press compute)

I/Y=9.0000%

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If the length of the garden is 8 feet and width is 12 feet then the area of the garden be 96 [tex]feet^{2}[/tex], if the length of garden is 12 and the area of the garden is 96 [tex]feet^{2}[/tex],then the width be 8 feet, if the length of garden is 16 feet and the area is 64 [tex]feet^{2}[/tex], then the width of garden be 4 feet and the length and breadth which produce largest area are 8 feet and 12 feet and they can be interchanged.

Given a table of various combinations of length and breadth of garden.

We are required to fill the blanks and find the length and widths which produce largest area.

Length           Width                 Area

4                       16                      64

8                       12                      96  

10                          

12                     8                       96

14                                          

16                      4                       64

The bold values were the blanks. The blanks which is not filled cannot be filled because we need atleast two values whether they will be length and breadth , breadth and area or length and area. The largest area is 96 [tex]feet^{2}[/tex]. The length and breadth are 8 feet and 12 feet. They can be interchanged because we have two such combinations.

Hence if the length of the garden is 8 feet and width is 12 feet then the area of the garden be 96 [tex]feet^{2}[/tex], if the length of garden is 12 and the area of the garden is 96 [tex]feet^{2}[/tex],then the width be 8 feet, if the length of garden is 16 feet and the area is 64 [tex]feet^{2}[/tex], then the width of garden be 4 feet and the length and breadth which produce largest area are 8 feet and 12 feet and they can be interchanged.

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Question is incomplete. It should include the attached picture.

Answer:

The bakery earned $11760 by selling cakes

Step-by-step explanation:

Cost of 1 cake = $120

Bakery sold cakes = 98

We need to find how much money did the bakery earn selling cakes?

We are given cost of 1 cake, if we multiply cost of 1 cake by 98 we can get cost of 98 cakes. Solving:

Cost of 1 cake = 120

Cost of 98 cakes = 120 x 98

                            = 11760

So, The bakery earned $11760 by selling cakes

Answer:

it is on ed it is 30

Step-by-step explanation:

Answer:

30 minutes

Step-by-step explanation: