Mr. Roosevelt has 48 nails that each weigh 1.35 ounces. What is the weight of these nails in ounces?

The product of the given expression (x + 1)(3/2x+5/3) is 3/2x² + 29x/6.

So, (x + 1)(3/2x+5/3):

Now, solve as follows:

Therefore, the product of the given expression is 3/2x² + 29x/6.

Know more about mathematical operations here:

brainly.com/question/20628271

#SPJ1

Answer:

60

Step-by-step explanation:

90x + 270= 5670

90x=5670-270

x=5400÷90

x=60

Answer:

x = 60

Step-by-step explanation:

1) 100x - 10x + 270 = 5670

2) 100(60) - 10(60) + 270 = 5670

3) 6000 - 600 + 270 = 5670

4) 5400 + 270 = 5670

5) 5670 = 5670

All I really did was input random numbers for the value of "x", then add 270 at the end of an equation. If that method works for me, it should work for everyone, including you.

Hope this helped buddy!

Answer:

216

Step-by-step explanation:

[tex] \frac{2}{9} x = 48 \\ x = 48 \times \frac{9}{2} \\ x = 216[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve :

add the like terms :

Step-by-step explanation:

I guess we are only talking about quadratic functions/equations here.

the world is not unified regarding what is the standard form of a quadratic equation.

but let's assume your teacher means

standard form

f(x) = y = ax² + bx + c

vertex form

f(x) = y = a(x - h)² + k

so, we are using the provided x, y coordinates to get a, b and c.

3.75 = a×0.125² + b×0.125 + c

3 3/4 = a×(1/8)² + b×(1/8) + c

15/4 = a/64 + b/8 + c

15×16/64 = a/64 + 8b/64 + 64c/64

=> 240 = a + 8b + 64c

4 = a×0.25² + b×0.25 + c

4 = a×(1/4)² + b×(1/4) + c

4 = a/16 + b/4 + c

4×16/16 = a/16 + 4b/16 + 16c/16

=> 64 = a + 4b + 16c

3 = a×0.5² + b×0.5 + c

3 = a×(1/2)² + b×(1/2) + c

3 = a/4 + b/2 + c

3×4/4 = a/4 + 2b/4 + 4c/4

=> 12 = a + 2b + 4c

we have now from the third equation

a = 12 - 2b - 4c

we put this into the second equation

64 = (12 - 2b - 4c) + 4b + 16c = 12 + 2b + 12c

32 = 6 + b + 6c

26 = b + 6c

b = 26 - 6c

and therefore

a = 12 - 2(26 - 6c) - 4c = 12 - 52 + 6c - 4c = 2c - 40

this a and b we use now in the first equation

240 = (2c - 40) + 8(26 - 6c) + 64c =

= 2c - 40 + 208 - 48c + 64c = 18c + 168

72 = 18c

c = 4

b = 26 - 6×4 = 26 - 24 = 2

a = 12 - 2×2 - 4×4 = 12 - 4 - 16 = -8

so, the standard form is

f(x) = y = -8x² + 2x + 4

the vertex form

we get this by transforming the standard form.

e.g. by competing the square :

y - 4 = -8x² + 2x = -8(x² - x×1/4)

y - 4 -8×(1/8)² = -8(x² -x×1/4 + (1/8)²)

y - 4 - 8/64 = -8(x - 1/8)²

y - 32/8 - 1/8 = -8(x - 1/8)²

y - 33/8 = -8(x - 1/8)²

y = -8(x - 1/8)² + 33/8

Answer:

Step-by-step explanation:

We know that

Considering the above we have:

Substitute the given values and solve for x:

Answer:

3.92

Step-by-step explanation:

Step-by-step explanation:

2).

Given that 1/(7+5√2)

We know that

The Rationalising factor of a+√b is a-√b

The denominator = 7+5√2

The Rationalising factor of 7+5√2 is 7-5√2

On Rationalising the denominator then

=> [1/(7+5√2)]×[ (7-5√2)/(7-5√2)]

=> [1×(7-5√2)]/(7+5√2)(7-5√2)]

=> (7-5√2)/[(7+5√2)(7-5√2)]

=> (7-5√2)/[7²-(5√2)²]

Since , (a+b)(a-b) = a²-b²

Where , a = 7 and b = 5√2

=> (7-5√2)/(49-50)

=> (7-5√2)/(-1)

=> -7+5√2

=> 5√2-7

3).

Given that (x-2)³

This is in the form of (a-b)³

Where, a = x and b = 2

We know that

(a-b)³ = a³-3a²b+3ab²-b³

=> (x-2)³ = x³-3(x²)(2)+3(x)(2)²-2³

=> (x-2)³ = x³-6x²+12x-8

The coefficient of x² is -6

Answer:

tried.. sry if it is wrong...

Step-by-step explanation:

some examples for u..

Mark me the Brainliest..PLS

Answer:

either c or d

Step-by-step explanation:

The absolute value expression must be isolated on one side of the inequality before solving. either and or...OR  

Answer:

its sooo far

Step-by-step explanation:

aka i cant read

Answer:

I don't think so

Step-by-step explanation:

The studio earns $3.40 on commision because thats 40% of $8.50

The theater earns $5.10 because that would be the rest of the money

Answer:

∠ PQR = 150°

Step-by-step explanation:

∠ PQR = ∠ PQS + ∠ SQR , substitute values

12x - 6 = 16 + 9x + 17

12x - 6 = 9x + 33 ( subtract 9x from both sides )

3x - 6 = 33 ( add 6 to both sides )

3x = 39 ( divide both sides by 3 )

x = 13

Then

∠ PQR = 12x - 6 = 12(13) - 6 = 156 - 6 = 150°

Answer:

m<PQR = 150°

Step-by-step explanation:

<PQR = (12x-6)°

<SQR = (9x+17)°

<PQS = 16°

find m<PQR.

since <SQR + <PQS = <PQR,

then (9x+17)° + 16° = (12x-6)°

combine like terms;

9x + 17 + 16

9x + 33 = 12x - 6

subtract 33 from both sides;

9x = 12x - 39

subtract 12x from both sides;

-3x = -39

divide by -3;

x = 13, then input x into the equation for m<PQR;

m<PQR = (12x-6)°,

(12(13)x - 6)°

(156 - 6)°

Answer: 150°

Answer:

y=2x+9

Step-by-step explanation:

y-y(0)=m(x-x(0))

y-1=2(x+4)

Answer:

75%

Step-by-step explanation:

Step 1: Build the equation.

Step 2: Simplify.

Step 3: Multiply both sides by 25/16.

Therefore, the missing number is 75 to complete the equation 75% of 64 = 48.

We are finding slope:

change in y / change in x

277 - 205 / 2007 - 1997

72 / 10

7.2

Answer:

If you know what a graph looks like, then it is similar looking if not almost the same. The vertical lines represent what ever your x value is, in example the number of toys you have to how much they cost(ed) your x value would be the number of toys you have.

Step-by-step explanation:

Answer: a bar plot is a type of graph. The vertical lines shows the amount/data.

May contain dates that show how many each day, month, year.

The way most teachers show this is with what people prefer like, favorite color, food, etc...

Step-by-step explanation:

The single transformation that took place from their starting position to their final destination is (x, y) ⇒ (x + 7, y)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point either up, down, left or right in the coordinate plane.

Hikers walk 3 miles east and then 2 miles north and take a water break. Hence:

(x, y) ⇒ (x + 3, y + 2)

They continue hiking 4 miles east and a final 2 miles south to their destination:

(x, y) ⇒ (x + 3 + 4, y + 2 - 2) ⇒ (x + 7, y)

The single transformation that took place from their starting position to their final destination is (x, y) ⇒ (x + 7, y)

Find out more on transformation at: https://brainly.com/question/4289712

#SPJ1

Answer:

I believe it's 9.

Step-by-step explanation:

Have a good day/night

Answer:

answer is a 14 okk 14 is a correct answer

Answer:

I think its 6.64575131

Step-by-step explanation:

Answer:

$1,624.29

Step-by-step explanation:

The equation here is A = P + I.

A is the total, P is the principal (the amount you start out with so 1,500), and I is the interest (the quarterly interest in total is $124.29. 0.04 rate per year compounded four times per year over two years)

1,500 + 124.29 = $1,624.29

The balance in two years will be $1624.28.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Principal amount = $1500

Rate = 4% = 0.04

Time = 1/4 years

Now,

We know that;

The total amount after 2 years is,

⇒ [tex]A = P (1 + rt)^4^n[/tex]

Here, n = 2 years

Substitute all the values, we get;

⇒ [tex]A = P (1 + rt)^4^n[/tex]

⇒ A = 1500 (1 + 0.04/4)⁸

⇒ A = 1500 (1 + 0.01)⁸

⇒ A = 1500 (1.01)⁸

⇒ A = 1624.28

Thus, The balance in two years will be $1624.28.

Learn more about the simple interest visit:

https://brainly.com/question/20690803

#SPJ2

Answer:

0.5 miles

Step-by-step explanation:

P(1,3)   A(6,6)   B(7,1)

PA = √(6-1)²+(6-3)² = √34 = 5.83

PB = √(7-1)² + (1-3)² = √40 = 6.32

PB-PA = 6.32 - 5.83 = 0.49 ≈ 0.5

Answer:

Apples = 11, Apricots = 4

Step-by-step explanation:

Apple= 7 + Apricots

15 = Apple+ Apricot

15= 7 + Apricots + Apricots

15 = 7 +2Apricots

8 = 2 Apricots

4= 1 Apricot

Apple = 7 + 4 = 11

d!

john (y) is (2.5) times as big as his brother sam (x)

hope this helps

Answer:

4

Step-by-step explanation:

Answer:

i think its the first one i hope this helps

Step-by-step explanation:

Answer:

Yes ofcourse

Step-by-step explanation:

Why not.....^_^

Based on the number of days that Maggie swam and the distance swam everyday, Maggie swam 13.16km

Maggie swam 940 meters each day. She did this for two weeks. The total distance she swam is:

= 940 x 2 x 7 days a week

= 13,160 meters

A meter is 0.001km so 13,160 meters in kilometers would be:

= Number of meters x Conversion factor

= 13,160 x 0.001

= 13.16 km

In conclusion, Maggie swam 13.16 km.

Find out more at https://brainly.com/question/19755826.