translate the sentence into an equation

three more than the quotient of a number and 2 is 9

Answer:

27.3

Step-by-step explanation:

The base of the triangle is,

√(12²-5²)

= √119 = 10.9

The area of the triangle,

5×10.9/2

= 109/4 = 27.25 ≈ 27.3

Answered by GAUTHMATH

Answer: 24 square cm.

8*6=48

48/2=24

Answer:

24 cm^2

Step-by-step explanation:

(w*h)/2

Answer:

1. x =(3-√257)/4=-3.258

2. x =(3+√257)/4= 4.758

Step-by-step explanation:

irst add  

x

to both sides of the second equation to get:

y = x + 3

Then substitute this expression for  y  into the first equation to get:

29 = x 2 + ( x + 3 ) 2 = 2 x 2 + 6 x + 9

Subtract  29  from both ends to get:

0 = 2 x 2 + 6 x − 20

Divide both sides by  2  to get:

0 = x 2 + 3 x− 10 = ( x+ 5 ) ( x − 2 )  

So  x = 2 or  x = − 5

If  x = 2  then  y = x + 3 = 5 .

If  x = − 5  then  y=x + 3 = − 2

So the two solutions  

( x, y )  are  ( 2 , 5 )  and  ( − 5 , − 2 )

Answer:

hey hope the given pic are helpful(sorry for my bad writing)

Answer:

2\sqrt2

Step-by-step explanation:

a=5-2√6 ...(1)

[tex]\frac{1}{a}=\frac{1}{5-2 \sqrt{6} } \times\frac{5+2\sqrt{6} }{5+2\sqrt{6} } =\frac{5+2\sqrt{6}}{(5-2\sqrt{6})(5+2\sqrt{6})} =\frac{5+2\sqrt{6}}{5 ^2-(2\sqrt{6})^2} =\frac{5+2\sqrt{6}}{25-24} =5+2\sqrt{6}\\a+\frac{1}{a}=5-2\sqrt{6}+5+2\sqrt{6}=10[/tex]

[tex](\sqrt{a}-\frac{1}{\sqrt{a}})^2=(\sqrt{a})^2+(\frac{1}{\sqrt{a}})^2-2 \times \sqrt{a} \times \frac{1}{\sqrt{a}}=a+\frac{1}{a}-2=10-2=8\\\sqrt{a}-\frac{1}{\sqrt{a}}=\sqrt{8}=2\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

This is an isosceles triangle because 2 of the sides are the same length (marked with single slashed through them). The Isosceles Triangle Theorem tells that if 2 sides are congruent to each other, then the angles opposite those sides are congruent to each other as well. That means that the bottom left angle measures 68. According to the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180, so:

x = 180 - 68 - 68 so

x = 44

Answer:

y = - 7

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through all points with a y- coordinate of - 7, then

y = - 7 ← equation of line

Answer:

x = 48.125

Step-by-step explanation:

Explanation in progress! (●'◡'●)

Answer:

48.25

Step-by-step explanation:

first wirte the same qa and write long qa and write the ans in procesa

Answer:

a-1. Using semi-annually compounded interest rates of 4%, or 0.04, we have:

M15 = $2,389.13

M20 = $2,091.10

M25 = $1,929.54

a-2. Using semi-annually compounded interest rates of 5.5%, or 0.055

M15 = $2,841.49

M20 = $2,580.47

M25 = $2,450.28

a-3. Using semi-annually compounded interest rates of 7%, or 0.07

M15 = $3,329.35

M20 = $3,108.80

M25 = $3,009.40

b-1. It can be observed that there is a negative relationship between the month-end payment and the payment period.

b-2. It can be observed that there is a positive relationship between the month-end payment and the semi-annually compounded interest rate.

Step-by-step explanation:

The month-end payment for each period can be calculated using the formula for calculating the present value (PV) of an ordinary annuity as follows:

Mn = PV / ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

Mn = month-end payment for a particular year period = ?

PV = Present value or home value = $250,000

r = Monthly interest rate = semiannual interest rate / 6 months

n = number of months = Number of years * 12 months

Using equation (1), we have:

a. Calculate the month-end payment for 15-, 20-, and 25-year periods using semi-annually compounded interest rates of 4%, 5.5%, and 7% for each period.

a-1. Using semi-annually compounded interest rates of 4%, or 0.04

M15 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(15*12)) / (0.04 / 6)) = $2,389.13

M20 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(20*12)) / (0.04 / 6)) = $2,091.10

M25 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(25*12)) / (0.04 / 6)) = $1,929.54

a-2. Using semi-annually compounded interest rates of 5.5%, or 0.055

M15 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(15*12)) / (0.055 / 6)) = $2,841.49

M20 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(20*12)) / (0.055 / 6)) = $2,580.47

M25 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(25*12)) / (0.055 / 6)) = $2,450.28

a-3. Using semi-annually compounded interest rates of 7%, or 0.07

M15 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(15*12)) / (0.07 / 6)) = $3,329.35

M20 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(20*12)) / (0.07 / 6)) = $3,108.80

M25 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(25*12)) / (0.07 / 6)) = $3,009.40

b. What do you observe from your calculations?

Two things can be observed from the calculations:

b-1. At a particular semi-annually compounded interest rate, the month-end payment decreases as the payment period increases. This implies that there is a negative relationship between the month-end payment and the payment period.

b-2. At a particular payment period, the month-end payment increases as the semi-annually compounded interest rate increases. This implies that there is a positive relationship between the month-end payment and the semi-annually compounded interest rate.

The correct answer is option B which is the probability of either white or green is 5/6.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:-

The probability that it is either white or green will be calculated as:-

Total balls are :- 3+5+10=18

White or green ball - 5+10=15

3 x 5=15

3 x 6=18

P = N(e)/N(s) = 15/18

P = N(e)/N(s) = 5 / 6

Therefore the correct answer is option B which is the probability of either white or green is 5/6.

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Answer:

Step-by-step explanation:

[tex]\sqrt[5]{(3y)^{4}} = [(3y)^{4}]^{\frac{1}{5}}=(3y)^{4*\frac{1}{5}}=(3y)^{\frac{4}{5}}[/tex]

Answer:

The dryer costs $325.

Step-by-step explanation:

Let w represent the cost of the washer and d represent the cost of the dryer.

They cost $587 combined. In other words:

[tex]w+d=587[/tex]

The washer costs $63 less than the dryer. Therefore:

[tex]w=d-63[/tex]

Thus, we have the system of equations:

[tex]\displaystyle \begin{cases} w+d = 587 \\ w=d-63\end{cases}[/tex]

We can solve it using substitution. Substitute the second equation into the first. Hence:

[tex](d-63)+d=587[/tex]

Combine like terms:

[tex]2d-63=587[/tex]

Add 63 to both sides:

[tex]2d=650[/tex]

And divide both sides by two. Hence:

[tex]d=325[/tex]

The dryer costs $325.

Further Notes:

And since the washer is $63 less, the washer costs:

[tex]w=(325)-63=262[/tex]

The washer costs $262.

Answer:

(C) 0.3(10 + 4h) = 0.25(6h)

Step-by-step explanation:

Here's what we know about Fernando's fees:

$10 is the initial fee

$4 is the hourly fee (h)

Saves 30% (also written as 0.3) of the total cost (includes initial and hourly fee)

Here's what we know about Brenna's fees:

No initial fee

$6 is the hourly fee (h)

Saves 25% (also written as 0.25) of the total cost (just the hourly fee because she doesn't have an initial fee)

We want to find which hour Fernando and Brenna will have saved the same amount of money.

To do this, let's first set up an equation for Fernando and Brenna separately:

Fernando's equation:

0.3(10 + 4h) = how much money he saves from the total cost

Brenna's equation:

0.25(6h) = how much money she saves from the total cost

Now we set them equal to each other:

0.3(10 + 4h) = 0.25(6h)

There's your answer!

Hope it helps (●'◡'●)

Answer:

She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:

y = -29.202x + 293.5

Step-by-step explanation:

Select the correct answer.

Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table

Answer:

Step-by-step explanation:

Third graph because when x is greater than two the lines slants up

Answer:

y = 5/3x + 9

Step-by-step explanation:

y = 5/3x + b

4 = 5/3(-3) + b

4 = -5 + b

9 = b

Step-by-step explanation:

=> (3x-12) =(x+6)

or,3x - x = 6 + 12

or,2x = 18

or,x = 18/2

•: x=9#

Answer: a Line going up and down

Step-by-step explanation:

Answer:

See explanation below

Step-by-step explanation:

The line x = 5 would be vertical and lies on x = 5 within the x-axis.

Answer:

33 jóvenes prefieren el basquetbol.

Step-by-step explanation:

Hay 165 jóvenes.

De estos, 20% prefieren el basquetbol.

¿cuantos prefieren el basquetbol?

20% de 165, entonces:

[tex]20\% = \frac{20}{100} = 0.2[/tex]

[tex]0.2*165 = 33[/tex]

33 jóvenes prefieren el basquetbol.

Answer:

sum of five and 3 is divided by n

Answer:

F = -k × X

10 Newtons = -k × 5 cm -k = 10 N/5 cm

-k = 2N/cm

k = -2N/cm

The value of spring constant "k" is -2 N/cm. Thus, the correct answer is option D.

To find the constant of proportionality "k," we can rearrange the formula:

F = -k x x

Since we are given that a force of 10 Newtons produces an extension of 5 cm, we can substitute these values into the equation:

10 N = -k x 5 cm

To solve for "k," we divide both sides of the equation by 5 cm:

k = -10 N / 5 cm

Simplifying the expression:

k = -2 N/cm

Therefore, the value of "k" is -2 N/cm. Thus, the correct answer is option D.

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Answer:

this as a equation looks like this

-1/2x+1+x=11

1/2x=10

x=20

Hope This Helps!!!

20 dollars were originally in the box

Two or more expressions with an Equal sign is called as Equation.

Given,

In an office there was a small cash box.

One day ann took half of the money plus$1 more

Then dan took half of the remaining money plus$1 more

Stan then took the remaining $11

-1/2x+1+x=11

Subtract 1/2x from both sides

1/2x=10

Multiply 2 on both sides

x=20

Hence, 20 dollars were originally in the box

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Answer:

100π

Step-by-step explanation:

Before we even begin solving for the volume we should note that the question says to find the volume of the cylinder " in terms of pi". this means that if pi is present we do not apply it to our final answer and we just leave our answer as __pi

Having that being cleared let's find the volume

volume of a cylinder = πr²h

where r = radius and h = height

looking at the figure the cylinder has a known radius of 5in and a given height of 4in

so r = 5 and h = 4

that being said we want to plug in these given variables into the volume of a cylinder formula

V = πr²h

r = 5 and h = 4

V = π5²4

5²=25

25(4)=100

V = 100π

once again we must leave our answer in terms of pi so the final answer would be 100π

Answer:

x=-4

Step-by-step explanation:

:Distribute 2 to 9.7 and -4.8x

3.4+19.4-9.6x=61.2

:combine 3.4 and 19.4

22.8-9.6x=61.2

: subtract 22.8 from both sides

-9.6x=61.2-22.8

:divide both sides by -9.6

-9.6x/-9.6=38.4/-9.6

x=-4

Answer:

Hence the correct answer is option (A) 4.708.

Step-by-step explanation:

Solution:-

Now, we need to find the angle of the sector by using sector  formula,

[tex]A = 28.25 ft^{2} \\r = 12ft.\\\\28.25 = \frac{\theta}{360^{o} } \times \pi \times 12^{2} \\\\\theta=\frac{28.25\times 360}{12 \times12 \times \pi} \\\\\theta =( \frac{70.625}{\\pi} )^{o}[/tex]

We now convert the angle to radian  

[tex]\theta = \frac{70.625}{\pi} \times \frac{\pi}{180}\\\\\theta = 0.39236 radian[/tex]  

Now we calculate the length of arc by arc formula  

[tex]\theta=\frac{I}{12} \\\\0.39236 =\frac{I}{12}\\\\I = 4.708 feet.[/tex]  

So, The length of steel that must be replaced is 4.708 ft.  

Answer:

329.6=1/3×16.97r

5.66r=329.6/÷5.66

r=58.23

Step-by-step explanation:

x+35+25=180

x+60 =180

x = 120.

y+x =18

Step-by-step explanatiosorry don't understand question be more specific

Answer:

Square is the answer

hope it helps u

plz mark it as brainliest