Consider the system of equations.

4x−3y=−22x+3y=6
Which property could be used to write the equation 6x = 4 as the first step to solving the system of equations?


Division Property of Equality

Distributive Property of Equality

Substitution Property of Equality

Addition Property of Equality

Answer:

Here is an example of a systems equation with 3 variables:

x+y+z=2

6x-4y+5z=31

5x+2y+2z=13

Step-by-step explanation:

Using elimination:

x+y+z=2

5x+2y+2x=13

5x+2y+2x=13

- 2x-2y-2z-4

____________

3x=9

x=9

Using substitution:

9+y+z=2

y=z-7

9+z-7+z=2

2+2z=2

z=0

Using substituion again:

9+y=2

y=-7

Step-by-step explanation:

9) volum = width× lenght × height

= 2×3×7 = 42 m³

10) = 7³ = 343 cm³

Answer:

Question 9: Volume = 42m

Question 10: Volume = 343cm

Step-by-step explanation:

Volume for a rectangular prism: V = length x height x width

Question 9:

Length = 7m

Width = 2m

Height = 3m

V = (7m) x (2m) x (3m)

V = 14m x 3m

Volume for a cube: V = a^3 → this is the formula since all sides are the same length

Question 10:

Length = 7cm

Width = 7cm

Height = 7cm

V = (7cm) x (7cm) x (7cm)

V = 49cm x 7cm

V = 343

OR

V = a^3 → (7)^3

Answer:

The answer is 13. Just count the dots.

Step-by-step explanation:

Answer:13

Step-by-step explanation:

bc i said so

Step-by-step explanation:

Domain=1,2,5,7

Range=2,3,6,8

f(2)=3

f(5)=6

Answer:

240

Step-by-step explanation:

Answer:

5 - 3i.

Step-by-step explanation:

2 + 4i + 3 - 7i       Bring like terms together:

= 2 + 3 + 4i - 71

= 5 - 3i.

Answer:

5 - 3i

Step-by-step explanation:

Real numbers are a subset of the complex numbers. Therefore it would only make sense that the complex numbers follow the same rule of additivity and multiplication as real numbers do:

[tex](2+4i)+(3-7i)=2+3+4i-7i=5-3i[/tex]

keeping in mind that a rhombus is also a parallelogram, namely a quadrilateral with parallel opposite sides, however, a rhombus sides are all the same length, and its diagonals meet at right-angles, Check the picture below.

The ratio of the required trigonometric function sin b₂° as per the given measurement of the quadrilateral is equal to 39/ 50.

Let us consider quadrilateral ABCD be rhombus.

Using the properties of the rhombus,

All the sides are congruent to each other.

Here, AB = 5 cm

This implies,

AB = BC = CD = AD = 5 cm

And Intersection of the diagonal is point 'O'.

In rhombus diagonals bisects each other at 90 degrees.

Measure of angle BOC = 90 degrees.

Triangle BOC is right angled triangle.

OC = 3.9 cm

sin b₂° = opposite side / hypotenuse

           = OC / BC

           = 3.9 / 5

           = 0.78

            = 78 / 100

            = 39 / 50

Therefore, the ratio of the function sin b₂°  is equal to 39 / 50.

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Answer:

The answer is 686 inches

Step-by-step explanation:

Answer:

The surface area of a box is 686 inches

Step-by-step explanation:

You can do it by muliplying;

[tex]14*7*7=686[/tex]

Give the guy about brainliest!

I already have too many TvT

Hope this helped! :^)

✉️Message me if you have any more questions!✉️

- ✨7272033Alt✨

Submitted on 4/14/2022 at 6:37 PM

(To avoid plagarism, by users whom decide to copy.)

Answer:

The weight : 9 pound

Lamar would pay for his dinner : $71

Step-by-step explanation:

Let x represent the weight of the lobster

the cost of the dinner at restaurant 1 is 4x + 35  

the cost of the dinner at restaurant 2 is 3x + 44

Now ,we have to solve the equation :  

4x + 35 = 3x + 44

-3x - 35   -3x  - 35    -> trying to get all x terms on one side. other just #

4x - 3x = 44 - 35

⇔ 1x = 9

⇔ x = 9

In this case Lamar would pay the same amount for his dinner at any restaurant:

the price = 4×(9)+35 = 71

               = 3×(9)+44 = 71.

Hope this helps, Let me know if you have any question/concerns !

Have a nice rest of your day :)

Answer:

292 CM

Step-by-step explanation:

8x7 = 56 (2 such sides)

6x8 = 48 (2 such sides)

7x6 = 42 (2 such sides)

56(2) + 48(2) + 42(2)=

292

Answer:

B. x-(0.5x+20)=300

Step-by-step explanation:

Because you add 20 to half of John's monthly allowance, and 0.5x is saying John's allowance divided by 2. Then you have Melissa's allowance, which then you add to John's allowance to get the total of $300 combined.

The equation that describes the situation would be; A. x-(0.5x+20)=300

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that Melissa and John get a combined monthly allowance of $300. Melissa's monthly allowance is $20 more than half of John's monthly allowance.

When x represents John's allowance, in dollars

Since we add 20 to half of John's monthly allowance, 0.5x is saying John's allowance is divided by 2.

Now we have Melissa's allowance, which then adds to John's allowance to get a total of $300 combined.

The equation becomes as;

x-(0.5x+20)=300

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Answer:

19,531,248

Step-by-step explanation:

General form of a geometric sequence:  [tex]a_n=ar^{n-1}[/tex]

(where [tex]a[/tex] is the first term and [tex]r[/tex] is the common difference)

Given geometric series:   8 + 40 + 200 + ... + 15625000

[tex]\implies a_1=8[/tex]

[tex]\implies a_2=40[/tex]

[tex]\implies a_3=200[/tex]

To find the common ratio [tex]r[/tex], divide consecutive terms:

[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{40}{8}=5[/tex]

Therefore:

[tex]\implies a_n=8(5)^{n-1}[/tex]

To find n when [tex]a_n=15625000[/tex] :

[tex]\implies 8(5)^{n-1}=15625000[/tex]

[tex]\implies (5)^{n-1}=1953125[/tex]

[tex]\implies \ln (5)^{n-1}=\ln1953125[/tex]

[tex]\implies (n-1)\ln 5=\ln1953125[/tex]

[tex]\implies n=\dfrac{\ln1953125}{\ln5}+1[/tex]

[tex]\implies n=10[/tex]

Sum of the first n terms of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Therefore, sum of the first 10 terms:

[tex]\implies S_{10}=\dfrac{8(1-5^{10})}{1-5}[/tex]

[tex]\implies S_{10}=19,531,248[/tex]

Answer:

The probabilities would be 4/11 and 7/11 respectively.

Step-by-step explanation:

1) Total length of the given word i.e. Mathematics = 11

2) Number of vowels in the given word = 4 i.e. a,e,a,i

3) Number of consonants in the given word = 7 i.e. m,t,h,m,t,c,s

4) The probability of choosing a vowel would be 4/11 = 0.3636..

5) The probability of choosing a consonant would be 7/11 = 0.6363...

Step-by-step explanation:

Answer:

Inequality:  125x + 55 < 600

Solution of inequality: x < 4.36

Final answer: 4 hours

Step-by-step explanation:

Let the number of hours be x.

1 hour costs $125.

2 hours cost $125 × 2

3 hours cost $125 × 3

x hours cost $125 × x or simple 125x.

The assistant costs $55.

The total cost is 125x + 55.

The cost must be under $600, so

125x + 55 < 600

Subtract 55 from both sides.

125x < 545

Divide both sides by 125.

x < 4.36

In theory he can be hired for any amount of hours under 4.36 hours, but he probably works only full hours, so you need to round down to 4 hours.

4 hours

Answer: 290 miles

Step-by-step explanation:

Distance = speed × time

(65 × 1.5) + ( 55 × 3.5)

97.5 + 192.5

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's see if the sequence is Arithmetic :} [/tex]

[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex]

[tex] \textsf{Since the common difference is same, } [/tex] [tex] \textsf{we can infer that it's an Arithmetic progression} [/tex] [tex] \textsf{with common difference of -5} [/tex]

Sequence: -29, -34, -39, -44, -49, ...

First we need to identify the terms:

If the sequence is arithmetic, [tex]\boxed{\sf \bold{second \ term = \dfrac{first \ term+third \ term}{2} }}[/tex]

If the sequence is geometric, [tex]\boxed{\sf \bold{second \ term = \sqrt{first \ term \ x \ third \ term} }}[/tex]

=======================================

Check for arithmetic

[tex]\rightarrow \sf -34 = \sf \dfrac{-29 +(-39)}{2}[/tex]

[tex]\rightarrow \sf -34 = \sf \dfrac{-68}{2}[/tex]

[tex]\rightarrow \sf -34 = -34[/tex]       [Hence it's arithmetic series]

To find common difference. we have to think of how to go to next term.

first term: -29

to go the second term, subtract by -5

-29 -5 = -34, second term

-34 - 5 = -39, third term

Hence, common difference: -5

Solutions:

Arithmetic Sequence

Common Difference: -5

Answer:

b

Step-by-step explanation:

There are 8 possibilities

 2 up and 4 up are the up and even moves   ===> 2 out of 8

2/8 = 1/4

Answer:not sure but it’s either a b c d e maybe don’t hold me to that

Step-by-step explanation:‍♀️‍♂️‍♀️‍♂️‍♀️‍♂️‍♂️‍♀️‍♀️

Answer: hii :)

E. 4x2+4x+1

Step-by-step explanation:

Expand the expression.

Hopefully this helps you!

- Matthew

This is simply because the x coordinate is 6 and the y coordinate is 2.

The line x = 6 is a vertical line in which all points on it have an x coordinate of 6. It goes through 6 on the x axis.

The line y = 2 is horizontal where all points on it have a y coordinate of 2.

The vertical and horizontal lines intersect at (6,2)

[tex]\textit{volume of a hemisphere}\\\\ V=\cfrac{1}{2}\cdot \cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=8 \end{cases}\implies \begin{array}{llll} V-\cfrac{1}{2}\cdot \cfrac{4\pi (8)^3}{3}\implies V=\cfrac{1024\pi }{3} \\\\\\ V\approx 1072.3 \end{array}[/tex]

Answer:

You need to go 8 squares to the left and then go 9 square down. (-8, -9)

for the second one you need to go 4 squares to the left and 10 squares down. (-4, -10)

The distance between the coordinates of house and store is D = 17 miles, or about 4.12 miles

The distance of a line between 2 points is always positive and given by the formula

Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )

The distance between A and B is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

Given data ,

Let the first point be P = P ( -8 , -9 )

Let the second point be Q = Q ( -4 , -10 )

Now , Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

D = √ ( -8 + 4 )² + ( -9 + 10 )²

On simplifying , we get

D = √ ( 4 )² + ( 1 )²

D = √17 units

And , 1 unit = 1 mile

So , √17 units = 4.12 miles

Hence , the distance between Jose's house and the store is √17 miles, or about 4.12 miles

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Answer:

B

Step-by-step explanation:

subtract 4 from 9 to get 5 and then since both fractions have 12 on bottom, you can subtract 3 form 7 to get 4

since 4*3 is 12, you can factor 12 to become 3 and 4 becomes 1

Answer:

false

Step-by-step explanation:

polygons have more then 3 sides and are enclosed figures such as a pentagon may be classified as a polygon.

Answer:

103 cm

Step-by-step explanation:

Half are above and half are below the mean