Solve for y. 4/7 y + 2/7 = 6

A) y = 20
B) y = -10
C) y = 10

Answer:

MOREEE

Step-by-step explanation:

Answer:

[tex]\tan \angle T = \dfrac{SR}{TS} = \dfrac 43[/tex]

Step-by-step explanation:

Answer:

39, 44, 48

Step-by-step explanation:

Add 5 to the following terms.

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Answer:

1. yes, both lines are straight

2. domain: (-∞ ∞)

3. range: (-∞ ∞)

Answer:

arc MP = 88°

Step-by-step explanation:

The measure of the inscribed angle MQP is half the measure of its intercepted arc MP , then

arc MP = 2 × ∠ MQP = 2 × 44° = 88°

Answer:

he didnt subtract each equations on both sides

5y-6=4y+1

-4       -4

y  -6=1

  +6=+6

y=7

Step-by-step explanation:

hope that wrk

Answer:

20% of 200 is 40

Step-by-step explanation:

multiply 20 and 200 then divide by 100 to get your answer (20*200)/100=40

Taking into account the definition of a system of linear equations, the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

On one hand, Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25.   This is expressed by 2x+5y= 37.25

Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25.  This is expressed by 8x+9y=102.25

So, the system of equations to solve is:

[tex]\left \{ {{2x+5y=37.25} \atop {8x+9y=102.25}} \right.[/tex]

There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.

So, isolating the variable x from the first equation:

2x+5y= 37.25

2x= 37.25 - 5y

x= (37.25 - 5y)÷2

x= 18.625 - [tex]\frac{5}{2}[/tex]y

Replacing in the second equation:

8×(18.625 - [tex]\frac{5}{2}[/tex]y)+9y=102.25

Solving:

8×18.625 - 8×[tex]\frac{5}{2}[/tex]y+9y=102.25

149 - 20y + 9y=102.25

149 -11y= 102.25

-11y= 102.25-149

-11y= -46.75

y= (-46.75)÷ (-11)

y= 4.25

Finally, replacing in x= 18.625 - [tex]\frac{5}{2}[/tex]y and solving you get:

x= 18.625 - [tex]\frac{5}{2}[/tex]×4.25

x= 18.625 - 10.625

x=8

Remembering that x represents the price of each bag of popcorn and y represents the price of each pretzel, you get that the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.

Learn more about system of equations:

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Answer:

55

Step-by-step explanation:

As you can see, the length of the outer angle is 125. So, 180 - 125 = 55.

Answer:

y intercept is 2

x intercept is -2.6

Step-by-step explanation:

4y=3x-8

4y-3x=8

y/2-x/2.6=1

y intercept is 2

x intercept is -2.6

intercept formula

y/B+x/A= 1

where B and A are intercepts

Answer:

x = 22

Step-by-step explanation:

Answer:

-5/4

Step-by-step explanation:

4x-5y=10

-5y=-4x-10

-5y/-5=-4/-5-10/-5

y=4/5+2

perpendicular slope is -5/4

the height of the box is 9 inches

Answer:

solution given:

total surface area of a box=160 square inches

let length, width, and height be l,b, and h respectively.

according to the question:

l=2b

∴b =[tex]\frac{l}{2}[/tex]

l=h-4

∴ h=l+4

we have

total surface area of a box=160 square inches

2(lb+lh+bh)=160

[tex]2(l*\frac{l}{2}+l(l+4)+\frac{l}{2}*(l+4))=160[/tex]

[tex]2*\frac{l^2+2l^2+8l+l^2+4l}{2}=160[/tex]

[tex]4l^2+12l=160[/tex]

[tex]4(l^2+3l)=160[/tex]

[tex]l^2+3l=\frac{160}{4}[/tex]

[tex]l^2+3l-40=0[/tex]

doing middle term factorization

[tex]l^2+(8-5}l-40=0[/tex]

[tex]l^2+8l-5l-40=0[/tex]

taking common from each two terms

l(l+8)-5(l+8)=0

(l+8)(l-5)=0

either

l=-8[neglected as length is always positive]

or

l=5

now

b=[tex]\frac{5}{2} =2.5[/tex]

h=5+4=9

Step-by-step explanation:

The correct statement is ''Lin can walk southwest by creating an obtuse triangle to reach his house from the gym'' and it can be determined by using the properties of triangle.

We have to determine

What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form?

According to the question,

1.  Lin walked south, creating a right triangle-

When someone walked in only one direction then a straight line is made by him over his path.

Here Lin can not make a right triangle just by walking in one direction.

Thus statement 1 is incorrect.

2. Lin walked southwest, creating an obtuse triangle.

When someone wants to reach a diagonal direction he can use either the right angle triangle path or the obtuse triangle.  

Lin can walk southwest by creating an obtuse triangle to reach his house from the gym.

Thus statement 2 is correct.

3. Lin walked southeast, creating an acute triangle.

Actuate triangle is a triangle in which all three angles are less than the right angles (90 degrees).

With walking in actuate triangle one can make Lin can not go in his diagonal direction.

Thus statement 3 is incorrect.  

4. Lin walked directly east, creating a right triangle.

When someone walked in only one direction then a straight line is made by him over his path.

Here Lin can not make a right triangle just by walking in one direction.

Thus statement 4 is incorrect.

Hence, Lin can walk southwest by creating an obtuse triangle to reach his house from the gym. Thus statement 2 is correct.

For more details about the Equation refer to the link given below.

https://brainly.com/question/9719077

Answer:

its B Lin walked southwest, creating an obtuse triangle

Answer:

the answer should be A Hope this helps!

Answer:

  0.4 kg

Step-by-step explanation:

A proportion can be used to find the amount of sugar.

  x/(1.1 L) = (0.1 kg)/(0.275 L)

  x = (1.1)(0.1)/0.275 kg = 0.4 kg

Angela needs 0.4 kg of sugar for her biscuits.

Answer:

y = 2x - 4.

Step-by-step explanation:

2x - y = 4

Subtract 2x from both sides

- y = -2x + 4

Multiply both sides by -1:

y = 2x - 4.

Answer:

y=-2x+4

Step-by-step explanation:

2x-y=4  -  move the 2x to the right side by subtracting 2x from both sides

2x - y = 4

-2x       -2x =

-y=-2x+4  -   negative variable turns into y, since the negative isn't relevant

y=-2x+4

[tex]7^5 \cdot \dfrac{7^3}{7^2}\\\\=7^5 \cdot 7^{3-2}\\\\=7^5 \cdot 7^1 \\\\=7^{5+1}\\\\=7^6[/tex]

Answer:

b = 55

d = 55

Step-by-step explanation:

Part B:

1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 125 from both sides.

Therefore, b = 55.

Part D:

1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.

2. (Solving)

Step 1: Subtract 55 from both sides.

Therefore, d = 55.

Answer:

263.25

Step-by-step explanation:

Your welcpme and stay safe

Answer:

fraction; 263.25/100

whole number; 263

Step-by-step explanation:

4.5 × 9 × 6.5;

4.5 × 6.5 = 29.25

29.25 × 9 = 263.25

Answer:

(f-g)(x) = f(x) - g(x)

         = x-3 - (3[tex]x^{2}[/tex])

          = x- 3 - 3[tex]x^{2}[/tex]

domain is all real number

Step-by-step explanation:

Answer:

D = (9,4) - (-4, -7) = (13,11)   where D is length of line between A and B

.7 D = (9.1, 7.7)       since .7 * 13 = 9.1     and .7 * 11 = 7.7

Thus we merely need to add these amounts to point A

(-4, -7) + (9.1, 7.7) = (5.1, .7)    for the final coordinates

Answer:

For easy way

convert to decimals first

3.5h - 3 (5h - 3.5)

Open brackets

3.5h - 15h + 10.5

Answer = 10.5 - 11.5h