Find the value of each variable. Answer in simplest radical form.

➷ It would be y + 23

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The algebraic expression for 23 more than y is y + 23

An algebraic expression usually shows the relationship between a variable and a whole number with its arithmetic operations.

In the given question,

Now when y is more than 23, we have the algebraic expression for 23 more than y as:

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Answer:

23°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

3x + 1 +2x - 3 + 9x = 180 ( simplify left side )

14x - 2 = 180 ( add 2 to both sides )

14x = 182 ( divide both sides by 14 )

x = 13

The 3 angles are

3x + 1 = (3 × 13) + 1 = 39 + 1 = 40°

2x - 3 = (2 × 13) - 3 = 26 - 3 = 23° ← smallest angle

9x = 9 × 13 = 117°

First one is #2

Second one is #1

I'm positive about this

Answer:

4.422, 4.769, 4.904

Step-by-step explanation:

Answer:

LEAST: 4.422

AVERAGE: 4.769

GREATEST: 4.904

I HOPE THIS HELPED !!

No picture

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

We are given that a height is labeled on the triangle in given figure.

We have to find the  that segment which shows the base that correspond to the given height of the triangle

We know that base is that side of triangle on which height is perpendicular.

In the given figure, Height is perpendicular to side A.

Therefore, side A represent the base of triangle.

Hence, line segments A shows base that corresponds to the given height of the triangle.

Option A is true.

Answer:

2.87

Step-by-step explanation:

2x^2-7=9

2x^2=9+7

2x^2/2=16/2

(square root)x^2=(square root)8

x=2.87

I used this method because I don't know any other method.

Answer:

Sample Response:  I would use the square root property of equality. Because there is no x term, I would just add and divide to get x^2 by itself.  Then I would take the square root.

2x^2 - 7 = 9

2x^2 - 7 + 7 = 9 + 7

2x^2 = 16

2x^2/2 = 16/2

x^2 = 8  (square root of 8 would be square root of 4*2 = 2*square root of 2

x = +/- 2*square root of 2

Answer with explanation:

We will use [tex]\frac{28}{36}[/tex] rule here, to prove that, the statement given is Incorrect,which is you can afford to pay a maximum of 1/2 of your monthly income for rent.

[tex]\frac{28}{36}[/tex] rule, states that,you can use , 28% of gross monthly Income for Housing expenses, and 36 % of your gross monthly income is used for Debt purposes.

→→[tex]\frac{1}{2}[/tex] of monthly income =50 % of Monthly Income

we can use ,only 28% of Monthly income for rent Purpose.

False Statement

Answer:

x = -14

Step-by-step explanation:

x/2 = -7

Multiply each side by 2 to get the x by itself

x = -7 * 2

x = -14

The answer would be x= -14

Answer:

The attached picture is the requested graph

Step-by-step explanation:

The system

[tex]y=\frac{3}{2}x-1\\ y= \frac{1}{2}x+3[/tex]

Has the following solution

x = 4 and y = 5 , which serves us to plot the desire graph, both function are lines and they intercept in (4,5)

Answer: A

Step-by-step explanation:

Answer: OPTION B

Step-by-step explanation:

 Use the following formula:

[tex]SA=\frac{pl}{2}+B[/tex]

Where p is the perimeter of the base, l is the slant height and B is the area of the base.

The perimeter is:

[tex]p=6*s=6*3m=18m[/tex]

Where s is the lenght of a side.

The slant height is given:

[tex]l=6,2m[/tex]

The area of the base is:

[tex]B=\frac{3\sqrt{3}s^2}{2}=\frac{3\sqrt{3}(3m)^2}{2}=23.382m^2[/tex]

Where s is the length of a side.

Substitute values. Then, the result is:

[tex]SA=\frac{(18m)(6.2m)}{2}+23.382m^2=79.18m^2[/tex]

Answer:

The correct answer option is B. 79.18 m^2.

Step-by-step explanation:

We are given a diagram of a regular hexagonal pyramid with height 5.6 m, slant height 6.2 m and base edge length 3m.

We know that the surface area of a regular hexagonal pyramid is given by:

[tex]\frac{PI}{2} +B[/tex]

where P = perimeter of the base, I = slant height and B = base area.

Perimeter of base = [tex]3 \times 6[/tex] = 18 m^2

Base area (area of hexagon) = [tex]\frac{3\sqrt{3} }{2} a^2[/tex] =  [tex]\frac{3\sqrt{3} }{2} 3^2[/tex] = 23.38 m^2

Surface area of hexagonal pyramid = [tex]\frac{18 \times 6.2}{2} +23.38[/tex] = 79.18 m^2

Answer:

t = 1

Step-by-step explanation:

Formula

i = prt

Givens

P = 500

i = 25

r = 5% = 5/100

t = ?

Solution

25 = 500 * 5/100 * t       Cancel out 100 on the right

25 = 5*5*t                        Combine the right

25 = 25 * t                       Divide by 25

25/25 = 25*t/25              

t = 1

Answer:   " 1 year . "

_________________________________________________

Step-by-step explanation:

_________________________________________________

Use the formula/equation:

        I = Prt ;   that is;  " I = P × r × t "  ;

in which:  

" Interest (in dollars) =

     Principal amount ("P" ; in dollars) * r ["rate"]   *  time ("t", in years) ]  ;

Note: the rate, "r" ; refers to the interest rate.

We wish to solve for the "time, "t" .

_________________________________________________

 I = Prt ;

_________________________________________________

Let us isolate "t" one one side of the equation;

    by rearranging the formula;

We know:  I = Prt   ;

Divide each side of the equation by "Pr" :

I/ (Pr) = [ (Prt) / (Pr) ]  ;

to get:

I / (Pr) = t ;

↔  t = I (P * r ) ;

Now, plug in our given values, and solve for "t" ; time, in years.

Given:  P = 500 (dollars) ;

            I  = 25 (dollars) ;  

           r = 5% ;  Note, for the purposes of this formula; we write this as a "decimal" ;

           r = 5% = 5/100 = 0.05 ;

_________________________________________________

 t  =  I / (P * r)  ;

t = 25  / (500 * 0.05) ;

t =  25 / (25) ;

t = 1  yrs.

_________________________________________________

Hope this helps!

 Best wishes in your academic pursuits

        — and within the "Brainly" community, as well!

_________________________________________________

Answer:

=x=1

 y=1

2nd choice is the correct answer, (1, 1).

Answer:

[tex]\large\boxed{4n^5+3.5n^5+(-2.1n^5)=5.4n^5}[/tex]

Step-by-step explanation:

[tex]4n^5+3.5n^5+(-2.1n^5)=4n^5+3.5n^5-2.1n^5\qquad\text{combine like terms}\\\\=(4+3.5-2.1)n^5=5.4n^5[/tex]

Answer:

The sides length x of each square windowpane is [tex]10\ in[/tex]

Step-by-step explanation:

we know that

[tex]924\ in^{2}=(6+3x+6)(6+x+6)\\ \\924=(12+3x)(12+x)\\ \\924=144+12x+36x+3x^{2}\\ \\ 3x^{2}+48x- 780=0[/tex]

Solve the quadratic equation

using a graphing tool

The solution is [tex]x=10\ in[/tex]

see the attached figure

Answer:

10 inches is the side length of each square windowpane.

Step-by-step explanation:

Length of the single window plane = x

Width of the single window plane = x

On combining all the windows pane ,length becomes , l= 3x

On combining all the windows pane ,width becomes , b= x

Length of the frame = L = 6 + 3x+ 6 = 12 + 3x

Width of the frame = B = 6 + x+ 6 = 12 + x

Area of the frame, A = L × B = [tex](12+3x)\times (12+x)[/tex]

Given sum of combined area of the 3 windowpanes and frame = [tex]924 inch^2[/tex]

[tex]a + A=924[/tex]

[tex](12+3x)\times (12+x)=924[/tex]

[tex]144+48x+3x^2=924[/tex]

[tex]3x^2+48x-780=[/tex]

[tex]x^2+16x-260=0[/tex]

[tex]x^2+26x-10x-260=0[/tex]

[tex]x(x+26)-10(x+26)=0[/tex]

[tex](x+260)(x-10)=0[/tex]

x = 10 (accept)

x  = -26 (reject)

10 inches is the side length of each square windowpane.

Answer: the answer is D

Step-by-step explanation: there is 8 different strands of outcomes

Answer: D, or 8.

Step-by-step explanation: The first part is a pretty simple win or lose diagram.

That's two possibilities.

The next choice has both Win, both Lose, Lose-Win, or Win-Lose.

That's four possibilities.

The next and last choice is the following: All Win, All Lose, Win-Win-Lose, Lose-Lose-Win, Lose-Win-Win, Win-Lose-Lose, Win-Lose-Win, and Lose-Win-Lose. That leaves a total of 8 combinations.

Answer:  a) x = {-3, 3, -3i, 3i}

               b) x = {-√5, √5}

               c) x = {-√3, √3, -i√2, i√2}

Step-by-step explanation:

[tex]a)\ x^4-81=0\\\\(x^2-9)(x^2+9)=0\\\\x^2=9\quad and\quad x^2=-9\\\\x=\pm 3\quad and\quad x=\pm3i[/tex]

[tex]b)\ x^4+10x^2+25=0\\\\(x^2+5)^2=0\\\\x^2=-5\\\\x=\pm i\sqrt5[/tex]

[tex]c)\ x^4-x^2-6=0\\\\(x^2-3)(x^2+2)=0\\\\x^2-3=0\quad and\quad x^2+2=0\\\\x^2=3\qquad and\quad x^2=-2\\\\x=\pm\sqrt3\quad and\quad x=\pm i\sqrt2[/tex]

Answer:

Step-by-step explanation:

Supplementary angles mean the angles add up 90 degrees.

So, 4x + 18 + 2x + 12 = 90.

Combine like terms...

6x + 30 = 90

Subtract 30 from both sides.

6x = 60

Divide by 6

x = 10

Then to find the measure of angles RST, we plug in 10 for x.

4(10) + 18 = RST

RST = 40 + 18

RST = 58

Answer:

Step-by-step explanation:

So you want to start by multiplying so 5×8 = 40 , 5×1=5 , 2×3=6, 7×3=21 , now you take all that and add it together 40+5+6+21

Which your answer is 72

Answer:

25/12 - pounds more vegetables

Step-by-step explanation:

first we need to put these variables into like terms

36/12 - 3

8/12 - 2/3

3/12 - 1/4

add the last two up and subtract from the first and you get how much you need left over

Tim already has 11/12 pounds of vegetables. He requires Problem Solving for an additional 2 1/12 pounds of vegetables to reach the desired 3 pounds for his soup recipe. Therefore, option B is the correct answer.

The problem is asking about the amount of vegetables Tim needs to add to reach a total of 3 pounds for his soup. Given, he already has 2/3 pound of carrots and 1/4 pound of celery, he already has a combined total of 2/3 + 1/4 = 11/12 pounds of vegetables.

Now, we need to find out how many more pounds of vegetables he needs to reach 3 pounds. To do this, subtract the weight of the vegetables he has from the total weight required: 3 pounds - 11/12 pounds = 25/12 or 2 1/12 pounds.

So, Tim needs to add an additional 2 1/12 pounds of vegetables for his soup. Looking at the options given, Tim should choose option B) 1 1/12 pounds of zucchini.

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The probable question may be:

Tim is preparing a vegetable soup recipe that requires a total of 3 pounds of vegetables. Currently, he has 2/3 pound of carrots and 1/4 pound of celery. To make exactly 3 pounds of vegetables, what additional amount of vegetables should Tim add to his existing ingredients?

Additional Information:

  Tim needs 3 pounds of vegetables in total.

  He already has 2/3 pound of carrots.

  He also has 1/4 pound of celery.

Options for Tim to add to his existing ingredients to make a total of 3 pounds:

A) 5/12 pound of broccoli

B) 1 1/12 pounds of zucchini

C) 2/3 pound of spinach

D) 3/4 pound of tomatoes

Answer:

Hi there, you can use Pitagoras relationship to solve this up (Without using any other "tool".

Point A is located wheter in (-6,8) or could be located in (-6,8)

Step-by-step explanation:

Point A is 10 units away from the origin, and its x coordinate is -6, using this information, you can draw a triangle  from 0 to -6 (the basis) and using 10 as the hypotenuse, so, you have this equation:

[tex]H^{2} = x^{2} +y^{2}[/tex]

solving for Y variable, you have this

y=±[tex]\sqrt{10^{2}-(-6)^{2}  }[/tex]

Note the combined sing ±, meaning that y=8 is a valid answer and that y= -8 is also a valid answer.

Hope It helps

Answer:

D

Step-by-step explanation:

The surface area of the rectangular prism is the sum of all the 6 faces.

Area = 2 (3*3.4) = 20.4

Area = 2 (3*4.1) = 24.6

Area = 2 (3.4*4.1) = 27.88

Thus, Surface Area = 20.4 + 24.6 + 27.88 = 72.88 ft ^2

Answer:

The correct answer option is D. 72.88 ft^2.

Step-by-step explanation:

We are given a diagram of a rectangular prism with width 3 ft, length 3.4 ft and height 4.1 ft and we are to find its surface area.

We know that the surface area of a rectangular prism is given by:

[tex]2(wl \times hl \times hw)[/tex]

So substituting the given values in the above formula to get:

Surface area of rectangular prism = [tex]2[(3 \times 3.4) + (4.1 \times 3.4) + (4.1 \times 3)][/tex] = 72.88 ft^2

Answer:

so A = 45degrees because tan^-1(1) = 45 and c = 30 because the half triangle is a 30-60-90 triangle so d = 105

Since its a 30-60-90 triangle and you know that one of the sides is 6, you can now infer that the rest of the sides are 8, and 10.

Also using the 6 side you can use a 3-4-5 triangle by dividing 6 by 4 wich equals 1.5 then multiply that by 3 to get the other sides by using Pythagorean therom. so the sides are 10, 7.5 and 12.5 witch gives you the bas and since area = 1/2bh area= 1/2(12.5 times 6)= 37.5

A = 37.5

About 2 hours

(About 2 hours and 25 minutes exactly)

I added minutes anyways

260 divided by 95 = 2 Remainder 25

                                 Hrs                  Mins

The number of students not eating salads and sandwiches are 9

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here: 3/8 of the students in the cafeteria eat salads and 1/4 of the students eat sandwiches.

∴3/8×24+1/4×24=9+6

                          =15

Thus the number of students eating lunches other than salads or sandwiches are 24-15=9

Hence, The number of students not eating salads and sandwiches are 9

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Answer:

Jadzia finished 80% of her homework.

The weight of cargo of the truck is represented by;

w ≤ 2,000

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The cargo of the truck weighs at most 2,000 pounds.

Since, The weight of a cargo is at most 2,000 pounds.

Hence, The weight of cargo is less than or equal to 2,000.

Thus, The weight of cargo of the truck is represented by;

w ≤ 2,000

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The weight of the cargo truck is given as w ≤ 2,000

Now it is given that cargo of the truck weighs at most 2,000 pounds.

Let 'w' be the symbol used to represent the weight of the cargo

Thus according to given information, the weight of the cargo can be less than or equal to 2000 pounds

Now a relation by which we can compare two or more mathematical expression is called an inequality.

Thus, the weight of cargo of the truck is represented using inequality as :

[tex]w\leq 2000[/tex]

This is the required answer.

Answer:

Because when you square 8 or -8, you will still end up at 64

8 x 8 = 64

(-8) x (-8) = 64

Step-by-step explanation:

Ok so the square root of 64 is both positive and negative 8 because :

8^2= 64 but at the same time:

(-8)^2=64 because - to the power of two becomes positive so it has two answers because both 8 and -8 to the power of 2 is 64

Answer:

Step-by-step explanation:

"y/3"  is the symbolic representation of "an unknown number, y, divided by 3."

Note that all terms in 8xy − 9x2 y − 5x + 6, except for the 6, involve a variable, either x or y.  6 is the constant term.

Answer:

[tex]\large\boxed{q=4P+4r}[/tex]

Step-by-step explanation:

[tex]\dfrac{q}{4}-r=P\qquad\text{muliply both sides by 4}\\\\4\!\!\!\!\diagup^1\cdot\dfrac{q}{4\!\!\!\!\diagup_1}-4r=4P\\\\q-4r=4P\qquad\text{add}\ 4r\ \text{to both sides}\\\\q=4P+4r[/tex]