Solve by elimination. 4x=14-3y 3x-3y=11

Answer:

1. 9 pi, 2. 121 pi

Step-by-step explanation:

The formula for circumference is pi d. So for the first question the radius would be three. The you do pi r ^2 for area so 3 times pi squared. Which is 9 pi. For the second you will do the same thing you will do 22 pi divided by 2 which is 11 pi then you will square 11pi and get 121 pi

Answer:

e

Step-by-step explanation:

because the lines are less scattered and they all are going straight up. they are also higher then all of the other ones.

After calculating the cost per hawk for each company, Company C offers the best buy at $2.71 per hawk.

The goal is to find out which company offers the best buy for the plush toy hawks. To do so, we'll calculate the cost per hawk from each company and compare them.

Company C offers the lowest cost per hawk at $2.71, thus they have the best buy.

The perimeter of rectangle is 25.13 feet

Solution:

Given that,

width of a rectangle = [tex]4\frac{1}{6} \text{ feet }[/tex]

Convert the mixed fraction to improper fraction

[tex]\rightarrow 4\frac{1}{6} = \frac{6 \times 4 + 1}{6} = \frac{25}{6}[/tex]

Therefore,

[tex]\text{width of rectangle } = \frac{25}{6} \text{ feet }[/tex]

Area of rectangle = 35 feet

The area of rectangle is given by formula:

[tex]area = length \times width[/tex]

Substituting the given values, we get

[tex]35 = length \times \frac{25}{6}\\\\length = 35 \times \frac{6}{25} = \frac{42}{5}[/tex]

Thus we get,

[tex]\text{length of rectangle } = \frac{42}{5} \text{ feet }[/tex]

The perimeter of rectangle is given as:

perimeter = 2(length + width)

[tex]perimeter = 2(\frac{42}{5} + \frac{25}{6})\\\\perimeter =2(8.4+4.167)\\\\perimeter = 2(12.567)\\\\perimeter = 25.13[/tex]

Thus perimeter of rectangle is 25.13 feet

Answer:

The possible distance in miles that Amelia can drive without exceeding her budget is 270 miles

Step-by-step explanation:

Given:

Amelia's budget for renting a car for a day trip = $ 89

Rental cost  = $35

cost per mile  = $0.20

To Find:

The possible distance in miles that Amelia can drive without exceeding her budget = ?

Solution:

Let M be the number of miles

The equation representing the situation can be

Total budget  less than or equal to rental + (number of mile x cost per mile)

That is

[tex]89 \leq 35 +(0.20 \times M)[/tex]

Solving for M, we get

[tex]89-35 \leq 0.20 M\\[/tex]

[tex]54 \leq 0.20M\\[/tex]

[tex]M \leq \frac{54}{0.20}[/tex]

[tex]M \leq 270[/tex]

Amelia's budget: $89. Rental: $35/day + $0.20/mile. Inequality: [tex]\( M \leq 270 \)[/tex] . Amelia can drive ≤270 miles.

let's break it down step by step.

1. Setting up the total cost equation:

  We're given that the rental cost is $35 per day plus $0.20 per mile. So, the total cost [tex]\( C \)[/tex] can be represented as:

 [tex]\[ C = 35 + 0.20M \][/tex]

  Where [tex]\( M \)[/tex] is the number of miles driven.

2. Setting up the inequality:

  We're told that Amelia can spend no more than $89. Therefore, we set up the inequality:

 [tex]\[ 35 + 0.20M \leq 89 \][/tex]

  This inequality represents that the total cost (rental cost plus mileage cost) should be less than or equal to $89.

3. Solving the inequality:

  To solve for [tex]\( M \),[/tex] we first subtract $35 from both sides to isolate the term involving [tex]\( M \):[/tex]

 [tex]\[ 0.20M \leq 89 - 35 \] \[ 0.20M \leq 54 \][/tex]

4. Dividing both sides by 0.20 to isolate [tex]\( M \):[/tex]

  [tex]\[ M \leq \frac{54}{0.20} \] \[ M \leq 270 \][/tex]

5. Interpreting the result:

  The inequality [tex]\( M \leq 270 \)[/tex] tells us that Amelia can drive at most 270 miles without exceeding her budget of $89.

So, in detail, Amelia can drive a maximum of 270 miles to stay within her budget. Any distance beyond that would exceed her budget of $89 for the day trip.

The  absolute value of the melting point of neon greater than the absolute value of the melting point of hydrogen.

Step-by-step explanation:

In positive numbers, when the number gets larger then it is considered to be the greatest number.

for example: 20 > 5.

Meanwhile, For negative numbers, when the number gets larger then it is considered to be the smallest.

For example: -21 > - 40.

From the given table, we are given with the values of Melting point:

Hydrogen= -259.

Neon = -248.

Oxygen = -218.

We have to compare the melting points of hydrogen and neon,

⇒ - 248 > - 259.

Thus the melting point of the neon is greater than the melting point of the hydrogen.

Answer:

The correct answer is A. Jim is better positioned to invest in bonds because he makes less and has longer before his investment matures.

Step-by-step explanation:

Jim is better positioned to invest in bonds for two reasons:

1. He can invest and take advantage of long-term bonds, between 12 and 20 years of term of maturity, that are those that usually have the highest interest rate. His goal is to invest and save for his daughter's college education, that is a newborn.

2. The real interest rates are rising. It means the bonds interest rates are clearly above the inflation rate in the country where Jim and his family live, having a better return for his investment.

Answer:

29

Step-by-step explanation:

Look at image

Answer: The top one

Step-by-step explanation:

Because there can only be one input for one output. (X’s can’t repeat)

Answer:

rational number

Step-by-step explanation:

Answer:

It's a rational. You can convert this to a simplified fraction

An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be written in a fraction.

Answer: 75

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

multiple of 15

7+5=12

Answer:

Therefore,

The Length is longer than Width by 2 units.

[tex]Length=Width+2[/tex]

Step-by-step explanation:

Given:

Let the vertices of a Rectangle be  

A ( -7 , 6)

B ( 3 , 6)

C ( 3 , -6)

D ( -7 ,-6)

To Find:

Relation between Length and Width = ?

Solution:

First we will find the Length and Width of Rectangle by Distance Formula ,

[tex]l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}[/tex]

Substituting the values we get

[tex]l(AB) = \sqrt{((3-(-7))^{2}+(6-6)^{2} )}[/tex]

[tex]l(AB) = \sqrt{((10)^{2}+(0)^{2} )}\\l(AB)=\sqrt{100}=10\ unit[/tex]

Similarly for BC we will have,

[tex]l(BC) = \sqrt{((3-3)^{2}+(-6-6)^{2} )}\\l(BC)=\sqrt{144}=12\ unit[/tex]

Now

Length = 12 units.

Width = 10 units.

Therefore,

Let Length be denoted by "L" and Width by "W" then

[tex]Length=Width+2=10+2=12\\\\\therefore L=W+2[/tex]

Therefore,

The Length is longer than Width by 2 units.

[tex]Length=Width+2[/tex]

[tex]48 {in}^{2} [/tex]

Answer: B . 48 in²

Step-by-step explanation:

First o all complete the block and find the area

       The area of the completed block which looks like a rectangle

                                                                          =  L x B

                                                                          = 9 x 6

                                                                          = 54 in²

Step 2 : Find the area of the removed right angled triangle using the formula

                                                                         = ¹/₂b x h

where the base is 3 in and the height is 4 in

                                                                        = ¹/₂ x 3 x 4

                                                                        = 6 in².

Therefore, to find the area of the remaining  figure :

Area of the complete block less the area of the right  angled triangle

                                                                        = ( 54 - 6 ) in²

                                                                        = 48 in²

The option therefore is  B

Answer:

Step-by-step explanation:

f(x) = -4x^2 - 6x - 1  ........ g(x) = -x^2 - 5x + 3

find (f + g)(x)

-4x^2 - 6x - 1 + (-x^2 - 5x + 3) =

-4x^2 - 6x - 1 - x^2 - 5x + 3 =

-5x^2 - 11x + 2 <====

Answer: B

Step-by-step explanation:

Answer:

Calvin's first step is to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4 is the correct step

That is [tex](\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}=(r^{-13}s^{-1})^{-4}[/tex] Calvin's step is the correct step.Because this is the correct way to do simplify the rational expression. And also because Nadine made a blender mistake in her operations in step

Step-by-step explanation:

Given that Nadine and Calvin are simplifying the expression (StartFraction r Superscript negative 5 Baseline s Superscript negative 3 Baseline Over r Superscript 8 Baseline s Superscript negative 2 Baseline EndFraction) Superscript negative 4

Their expression can be written as below

[tex](\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}[/tex]

Nadine's first step is to simplify the expression is to raise the numerator and denominator to the power of 4 to get StartFraction r Superscript negative 20 Baseline s Superscript negative 12 Baseline Over r Superscript 32 Baseline s Superscript 8 Baseline EndFraction

That is [tex]\frac{r^{20}s^{12}}{r^{-32}s^8}[/tex]

Calvin's first step is to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4

That is [tex]r^{-13}s^{-1}[/tex]

Now simplify the given expression to check whose step is correct:

[tex](\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}[/tex]

[tex]=(r^{-5}s^{-3}r^{-8}s^{2})^{-4}[/tex] ( using the property [tex]\frac{1}{a^m}=a^{-m}[/tex] )

[tex]=(r^{-5-8}s^{-3+2})^{-4}[/tex]

[tex]=(r^{-13}s^{-1})^{-4}[/tex]

Therefore [tex](\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}=(r^{-13}s^{-1})^{-4}[/tex]

Therefore Calvin's first step is to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4 is the correct step.

That is [tex](\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}=(r^{-13}s^{-1})^{-4}[/tex] Calvin's step is the correct step .Because this is the correct way to do simplify the rational expression.And also because Nadine made a blender mistake in her operations in step

James has pennies, nickles and dimes in his bank. he has more than $1.60 and less than $2.00 in the bank. there are 5 times as many pennies as dimes. there is an equal number of nickels and dimes. what is the exact amount of money in his bank?

Answer:

The exact amount of money in his bank is $ 1.8

Solution:

Let "p" be the number of pennies

Let "d" be the number of dimes

Let "n" be the number of nickels

Given that,

There are 5 times as many pennies as dimes

Number of pennies = 5 times the number of dimes

p = 5d ----------- eqn 1

There is an equal number of nickels and dimes

n = d -------- eqn 2

We know that,

value of 1 dime = 0.10 dollar

value of 1 nickel = 0.05 dollar

value of 1 penny = 0.01 dollar

The total value of coins is:

total value = d(0.10) + n(0.05) + p(0.01)

Substitute eqn 1 and eqn 2

total value = d(0.10) + d(0.05) + 5d(0.01)

total value = 0.2d

Given that he has more than $1.60 and less than $2.00 in the bank

Therefore, 0.2d must be greater than 1.60 and less than 2.00

Try for d = 8

total value = 0.2 x 8 = 1.6

But value must be greater than 1.6

Try for d = 9

total value = 0.2 x 9 = 1.8

Thus 1.8 is greater than 1.60 and less than 2.00

Therefore, the exact amount of money in his bank is $ 1.8

The calculated cosine of the angle U is 8/17

How to determine the cosine of the angle U

From the question, we have the following parameters that can be used in our computation:

The triangle

By definition:

The cosine of the angle is calculated using

cos(U) = VW/UW

Where

VW = 8 and UW = 17

Substitute the known values into the equation

cos(U) = 8/17

Hence, the cosine of the angle U is 8/17

Answer:

75

Step-by-step explanation:

6 and 4 are alternate interior angles meaning they have the same value

60 percent of 78 is the same as 65 percent of 72.

Step-by-step explanation:

Let,

x be the unknown number.

According to given statement;

60% of 78 = 65% of x

[tex]\frac{60}{100}*78=\frac{65}{100}x\\0.60*78=0.65*x\\46.8=0.65x\\0.65x=46.8\\[/tex]

Dividing both sides by 0.65

[tex]\frac{0.65x}{0.65}=\frac{46.8}{0.65}\\x=72[/tex]

Therefore;

60 percent of 78 is the same as 65 percent of 72.

Keywords: percentage, division

Learn more about percentage at:

#LearnwithBrainly

Answer:

72

Step-by-step explanation:

sheesh kinda bussing

btw shesh

Answer: x² + y² + 22x + 16y + 169 = 0

Step-by-step explanation:

Equation of a circle with center (a,b) , and radius r i.e center is  not the origin

The equation becomes

( x - a )² + ( y - b )² = r² ------------------------------ 1

a = -11, b = -8

[( x - (-11 )]²  +  [( y - (-8)]² = 4²

      ( x + 11 )² + ( y + 8 )² = 4²

Carry out expansion

x² + 22x + 121 +  y² + 16y + 64 = 16

Rearrange the expression,

x² + y² + 22x + 16y + 121 + 64 - 16 = 0

x² + y² + 22x + 16y + 169 = 0

The equation of the circle is

x² + y² + 22x + 16y + 169 = 0

The solution to the system of linear equations 4x - 2y = 8 and y = (3/2)x - 2 is x = 4 and y = 4, found by substituting y in the first equation with the expression from the second equation and solving for x.

The student is asking to solve a system of linear equations. The equations provided are:

4x - 2y = 8

y = (3/2)x - 2

We will solve this system using substitution since the second equation is already solved for y. Here are the steps:

Substitute y in the first equation with the expression from the second equation: 4x - 2((3/2)x - 2) = 8.

Simplify the equation: 4x - 3x + 4 = 8.

Solve the simplified equation for x: x + 4 = 8, which leads to x = 4.

Substitute x back into the second equation to find y: y = (3/2)4 - 2.

Calculate the value of y: y = 6 - 2, which leads to y = 4.

The solution to the system of equations is x = 4 and y = 4.

The ladder reaches 40 feet up the wall.

41 squared (1681) minus 9 squared (81) is 1600. 40 is the square root of 1600.

The required distance between the top of the ladder and the ground is 40 feet.

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,

We can use the Pythagorean theorem to solve this problem. Let's call the distance from the base of the ladder to the wall "x", and let's call the length of the ladder "y".

According to the problem statement, we know that the ladder is 41 feet long and that the base of the ladder is 9 feet from the base of the apartment building.

y = 41 feet

x = 9 feet

We can use the Pythagorean theorem to solve for the distance between the top of the ladder and the ground. The Pythagorean theorem tells us that:

y² = x² + z²

where "z" is the distance between the top of the ladder and the ground. Plugging in the values we know,

(41 feet)² = (9 feet)² + z²

1681  = 81 + z²

1600 = z²

z = 40 feet

Therefore, the distance between the top of the ladder and the ground is 40 feet.

Learn more about Pythagorean triplets here:

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Answer:

You multiply, the answer is 3,521.6084.

Step-by-step explanation:

Answer:

3521.6084

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

If you graph this, you will see that you will get a line that is straight up and down (or perpendicular to the x axis).  No matter what y is, x will always be 1.  

Answer:

c

Step-by-step explanation:

Answer:

y = 3x +2

Step-by-step explanation:

The first answer

Answer:

800

Step-by-step explanation:

1400 (the whole) / 7 (the whole) =200 (the partial) 200*4=800

Answer:

800

Step-by-step explanation:

4 out of 7 equals x out of 1400?

4/7 = x/1400

Cross multiply.

7x = 4 * 1400

Divide both sides by 7.

x = 4 * 1400/7

x = 4 * 200

x = 800

Answer: 800 dentists