solving systems of equations in three variables

Answer:

Step-by-step explanation:

Area = 88 sq.cm

length * width = 88

(2x + 1)(x + 3)  = 88

2x*(x +3) + 1*(x + 3) = 88

2x*x + 2x*3 + x + 3= 88

2x² + 6x + x + 3 = 88

2x² + 7x + 3 - 88 = 0

2x² + 7x - 85 = 0

2x² - 10x + 17x - 85 = 0

2x(x - 5) + 17(x - 5) =0

(x - 5)(2x + 17 )= 0

x - 5 = 0      {Ignore 2x +17 = 0 as it gives a negative value}

x = 5

b) length = 2x + 1 = 2*5 + 1 = 10 +1 = 11 cm

breadth = x+ 3 = 5 + 3 = 8 cm

Perimeter = 2*(length +breadth}

                = 2* (11 + 8)

                = 2 * 19

               = 38 cm

Answer:

[Graph] See attached

[Question] A, C, & E

Step-by-step explanation:

[Graph] 0.4 -> 2/5

     () It will go through the origin (0, 0) because we have no b, or y-intercept

     () From (0, 0) it will go 2 up and 5 over, 2 up and 5 over, etc etc

     () See attached

[Question]

     () A, C, E

     () It is proportional (one to one as it is a straight line) so A is correct

     () The slope in y = mx + b is m, and our m is 0.4 so it is the slope

     () 3 * 0.4 = 1.2, so E is correct

Answer:

1 1/2 and -5 1/2

Step-by-step explanation:

if you add 3 1/2 to -2 you get 1 1/2

if you subtract 3/12 from -2 you get -5 1/2

Answer:

yeah

Step-by-step explanation:

Answer:

2a=7[tex]\sqrt{2}[/tex] or 7/2

Step-by-step explanation:

hope thats right

Answer:

D

Step-by-step explanation:

a,c,d are same but b is different.

Answer:

2.5i

Step-by-step explanation:

-5/2 = 2.5

+i = 2.5i

Answer:

1in x 2 + 1 in =3in

2 times 1 is 2 + 1 equals 3

Step-by-step explanation:

m +2 = 4

m = 2

x = 1

y +1 = 2

y = 1

z = -1

Answer:

⁵/₈

Step-by-step explanation:

x = 0.5

5x³ = 5(¹/₂)³

5x³ = 5(¹/₈)

5x³ = ⁵/₈

Answer:

27

Step-by-step explanation:

Step-by-step explanation:

remember : the sum of all angles in a triangle is always 180 degrees.

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C) with the sides being opposite to the angles.

so,

the opposite angle of x is

180 - 90 - 44 = 46 degrees.

x/sin(46) = 6/sin(90) = 6

x = 6×sin(46) = 4.316038802...

rounded x = 4.3

Answer:

14 yd²= 126 ft²

5.4 cm² = 540 mm²​

Answer:

ΔFOX ≅ΔBXO

Step-by-step explanation:

Answer:

183

Step-by-step explanation:

percentage=actual/base

B=A/P

B=43.9/0.24

B= 182.9=183

The value of x rounded to the nearest whole number is 183.

In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

As per the given data:

Number = 43.9

The given number is 24% of x.

Percentage = (value / total) × 100

By substituting the given data:

24 = (43.9 / x) × 100

x = (4390/24)

x = 182.91

after rounding off to the nearest whole number

x = 183

Hence, the value of x rounded to the nearest whole number is 183.

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Answer:

I cant see the numbers...

Step-by-step explanation:

Sorry! I can tell you the answer if you comment on this post.

Answer:

63

Step-by-step explanation:

Answer:

Point slope form

[tex]y=mx+b[/tex]

Answer: Pretty shure it's C

Step-by-step explanation:

c. writing system using wedge-shaped symbols

Answer: B. SAS or/and E. HL

Step-by-step explanation:

The two triangles both have a right angle of 90 degrees and two sides that are congruent so, SAS (side-angle-side). It can also be by HL since they both have a hypotenuse (the 2 lines) and one leg (the 1 line) that are congruent to each other.

Answer:

x=3

Step-by-step explanation:

Twenty divided by four is five. You would divide fifteen by five to get three. so X=3.

Answer:

I think this diagram its 110° cause it's measure for ZJKL FOR (G6D)

I

The total number of books on the shelf is 12 books

Given the following parameters

Total number of puzzle books on the shelf = 30 books

If the number of puzzle books is 25 of all the books on the shelf, the total number of books on the shelf is expressed as:

= 2/5 of 30

= 2/5 * 30

= 2 * 6

= 12

Hence the total number of books on the shelf is 12 books

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Answer:

75

Step-by-step explanation:

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day.

We can solve this problem in one step, we just have to look at the graph and see how the line works.

The equation of the line is [tex]y=8x+0[/tex] as the line rises by 4 for every hour they work. We can prove this by substituting points and seeing what we get.

In words, after reading our equation, we can see the following

"Every hour Anthony works, he earns 8 dollars".

We can see this because if we look at the line, when he works for one hour on the x axis, we gains 8 on the y axis

Hence our answer would be B.

Cheers!

Step-by-step explanation:

P=principle balance

r= interest rate

n= no. of times interest compounded per year

t= time period.

[tex]A = P {(1 + \frac{r}{n}) }^{nt} \\A = 2500 ({1 + \frac{ \frac{6.1}{100} }{4} )}^{4(10)} \\ A = 2500 {(1 + \frac{0.061}{4} )}^{40} \\ A = 2500 {(1 + 0.01525)}^{40} \\ A = 2500 {(1.01525)}^{40} \\ A = 4579.94[/tex]

BRAINLIST PLS

Based on the information given the balance after 10 years is $4579.94

Using this formula

Amount=P(1+r/n)^nt

Where:

P=principle balance=2500

r= interest rate=6.1%

n= Number of times interest compounded per year=4

t= time period=10 years

Let plug in the formula

Amount=2500(1+0.061/4)^4×10

Amount=2500(1+0.01525)^40

Amount=2500(1.01525)^40

Amount=$4579.94

Inconclusion  the balance after 10 years is $4579.94

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Answer:

Only 2 people would be able to go and she would have $5.50 to spend on snacks.

Answer:

2 friends

Step-by-step explanation:

20< 7.75(x) you have to have a less number than the total

Answer:

A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.

Step-by-step explanation:

Answer:

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Step-by-step explanation:

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10 sec as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Answer:14.48

sorry if it is wrong.

Step-by-step explanation:0.25*57.90=14.475

Answer:

13

Step-by-step explanation:

13÷8=96r3 आओऋअःनबभसजहलव

The required dividend would be 765 when the divisor is 8 and the quotient is 96 with a remainder of 3.

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

Let the required dividend would be x

The divisor is 8 and the quotient is 96 with a remainder of 3 which is given in the question

As per the given question, the solution would be as:

⇒ x ÷ 8 = 96 r3

⇒ x  + 3 = 96 × 8

⇒ x + 3 = 768

⇒ x = 768 - 3

⇒ x = 765

Therefore, the required dividend would be 765.

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Step-by-step explanation:

two equations if you want an inequality

y = -3x + 60

3x <= 60

graph it and you get x = 20 which is your answer