Write a linear equation to represent this

Answer:

x = 3.5, y = 2

Step-by-step explanation:

This is a system of equations.

Original equations:

[tex]4x+5y=24\\3x+7y=21[/tex]

Substitute y and solve for x:

→ [tex]y=\frac{24-4x}{5} \\2x+7y=21[/tex]

Substitute the value for y and simplify:

→ [tex]2x+\frac{7(24-4x)}{5} =21[/tex]

→ [tex]2x + \frac{(168 - 28x)}{5}=21[/tex]

Multiply by 5 on both sides

→ [tex]10x + 168-28x = 105[/tex]

Simplify → [tex]-18x = -63[/tex]

→ [tex]x = 3.5[/tex]

Plug in the value for x into either equation:

→ [tex]4*3.5 + 5y=24[/tex]

→ [tex]14+5y=24[/tex]

→ [tex]5y=10[/tex]

→ [tex]y=2[/tex]

Answer:

Inequality Form:

x>-11

Step-by-step explanation:

Interval Notation:

(-11,\infty )

Answer:

Step-by-step explanation:

4x + 23 > -21

4x > -21 -23  (moving 23 to the right side of equation changes the +23 to  -23

4x > -44  (adding -21 to -23)

x > -11  (dividing both sides of equation by 4, this keeps the equation the same

Solution:  x > -11  (x is greater than negative 11)

Answer:

234500000020000000000000000

Step-by-step explanation:

Answer:

y= -2/3x - 4

x= 3/2y + 6

Step-by-step explanation:

2x - 3y = 12 (plus 3y)

2x = 3y +12 (divide by 2)

x = 3/2y + 6

2x - 3y = 12 (minus 2x)

-3y = 2x + 12 (divide by -3)

y = -2/3x - 4

Answer:

the answer is a

Step-by-step explanation:

Answer:

0.32x + 60= y

Step-by-step explanation:

Answer:

y-5 = -4(x + 2)

Step-by-step explanation:

The point slope form is;

y-y1 = m(x-x1)

where m represents the slope

(x1, y1) represents the given point

Thus;

y-5 = -4(x + 2)

Answer:

F. y = 9.5x + 22.5

Step-by-step explanation:

let the number of shirts be x

For every shirt he pays $9.50 and $22.5 is the additional price

Answer:

P₂  = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]  

Step-by-step explanation:

Given expression:

     Boyle's law:

             P₁ V₁   = P₂ V₂

Problem is to find P₂;

Solution:

              P₁ V₁   = P₂ V₂

 To solve this problem, multiply both sides by [tex]\frac{1}{V_{2} }[/tex];

   P₁ V₁  x   [tex]\frac{1}{V_{2} }[/tex]; = P₂ V₂  x  [tex]\frac{1}{V_{2} }[/tex];

     [tex]\frac{1}{V_{2} }[/tex] cancels out V₂ on the right hand side;

              P₂  = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]  

Answer:

B... Because indicates the direction of gravity because its direction is downward

Answer:b

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

(Square both sides)

20 - 8x = x^2

(Solve 20 - 8x = x^2)

x = 2 , x = 10

x = 10 is false, so the answer is x = 2.

Answer:

x=2

Step-by-step explanation:

√20-8x=x

2√5-2x=x (by simplfing redical expression)

4(5-2x)=x^2 (square both side)

20-8x=x^2

20-8x-x^2=0

-x^2-8x+20=0

x^2+8x-20=0

x=2

Note:There is a another answer x=-10 But it's wouldn't fit out with this equation

Answer:

-3 = -v + 7

-3 - 7 = -v

3+7 = -v

-10 = -v

10 = v

Step-by-step explanation:

this is the answer i got, using basic algebra...

i hope this helps....

have a great day ahead :)

Answer:

v = 10

Step-by-step explanation:

[tex]-3=-v+7\\\\-v+7=-3\\\\-v+7-7=-3-7\\\\-v=-10\\\\\frac{-v=-10}{-1}\\\\ \boxed{v=10}[/tex]

Hope this helps.

Answer:

7

Step-by-step explanation:

Total slices required for children,

[tex]C = \dfrac{40}{2}\times 1\\\\C = 20\ slices[/tex] .

Total slices required for adults,

[tex]A=\dfrac{2}{3}\times 60\times 2\\\\A = 80\ slices[/tex]

So, total slices required are, 20 + 80 = 100 .

Number of pizza, n = 100/8 = 12.5

So, he has to order 13 pizza cause pizza cannot be purchased in fraction.

Total price, P = 13 × 9 = $117 .

Hence, this is the required solution.

Answer:

7 years

Step-by-step explanation:

Given that:

Let Richard's age = x

Elder sister's age = 2x

Youngwr sister's age = x - 2

Product of sisters ages = 70

2x * (x - 2) = 70

2x² - 4x = 70

2x² - 4x - 70 = 0

x² - 2x - 35 = 0

x² - 7x + 5x - 35 = 0

x(x - 7) +5(x - 7) = 0

(x - 7) or (x + 5) = 0

x = 7 or x = - 5

X can't be negative

Hence, x = 7

Richard is 7 years

Answer:

SSS

Step-by-step explanation:

I can identify that these triangles are congruent by using the SSS (Side, Side, Side) postulate theorem. I know this because first, second, and home triangle share the same side as the third, second, and home triangle, meaning they are congruent, so are the other sides of the angle since the question states they are congruent.

Answer:

[tex]y= x^{2} -12x+32[/tex]

Explanation:

[tex]y=x^{2} -8x-4x+32\\y= x^{2} -12x+32[/tex]

Answer:

D) x=16 and x=-16

Step-by-step explanation:

D) x=16 and x=-16

If you replace x with either one of them and then take the absolute value, you would have 8.

Answer:

1. A. All fourth graders in Michigan.

2. C. The students who were in the 60 third-grade classrooms that used each technique.

3. C. 52% of all fourth graders in Michigan cannot subtract from zero.

4. d. both a & b.

5. D. Percentage of children who passed the objective subtraction from zero.

6. C. Two new techniques for teaching subtraction from zero.

Step-by-step explanation:

1. We can make this conclusion since an assessment test often comes after students undergo the required lessons (that is using taught the new techniques, so when they entered the fourth grade the assessment would be taken to determine their performance. Hence, the population of the study is the entire fourth-graders in Michigan.

2. The sample includes only students who made up the "60 third-grade classrooms that used each technique". In other words, they were the subject of the study.

3. Remember, a parameter often refers to numbers that summarize the entire data of a particular population. So we could say, that 52% of all fourth graders in Michigan that cannot subtract from zero make up the parameter.

4. A statistic is usually any resulting values gotten from a sample. Hence, both statements a and b are statistics from the sample.

5. Remember, the dependent variable is a variable that can be influenced by another variable; the independent variable. In other words, the percentage of children who passed the objective subtraction from zero could be affected by the independent variable.

6. The independent variable is the variable that could influence the dependent variable. In other words, the two new techniques for teaching subtraction from zero could influence "the percentage of children who passed the objective subtraction from zero."  

Answer:

(6, 7) is where B is.

Step-by-step explanation:

If you go down 1/2 and right 5, you get to M. If you go another 1/2 down and right 5, you will get to B.

This is because M is the midpoint, or center point, of line AB. That means there is equal distance going from A to M and equal distance going from B to M.

#teamtrees #WAP (Water And Plant)

Answer:

The simplified answer to that is -0.2x.

Hope this helps and if you could mark this as brainliest. Thanks!

Answer:

-0.2x

Step-by-step explanation:

If x is negative then,

-0.2(-2) = 0.4

Answer:

the decimals should line up.

Answer:

press the right arrow 3 times

Step-by-step explanation:

to properly subtract any numbers the value of the digits need to be in line

Answer:

okay

Step-by-step explanation:

1) Each side length is 12

2) Each side length is 2

Answer:  x = 21 2/3

Step-by-step explanation:

3/5 = 13/x

cross multiply  5 × 13,  then divide  by 3.  

65/3 = 21 2/3

It's like multiplying both sides by the reciprocal of the left side.

Answer:

the pattern is +2, +6, +10, +14, +18 etc

so its in increment of 4

the rest is trivial

Step-by-step explanation:

Answer:

[tex]u_{n} = 2n^{2} -4n-3[/tex]

Step-by-step explanation:

a +b + c = - 5    First term in sequence

3a + b = 2   Difference between first two terms

2a = 4         Difference between  the difference of the first two terms and the second third terms (the difference between -5 and -3 is 2 the difference between -3 and 3 is 6; the difference between 6 and two is 4)

2a = 4 so a = 2; 3(2) + b = 2 → 6 + b = 2 so  b = -4; 2 - 4 + c = -5  → -2 + c = -5 so c = -3

Answer: I’m sorry I cannot explain this any other way because I can not see the answers but —> If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line. ✨

Step-by-step explanation: hope it help you later on!

Answer:

Y= -4x + 3

Step-by-step explanation: because the x value goes with mx, and the y value goes with b. :)