what is an expression equivalent to
4b + 5y - 3b + 8y

Answer:

m∠X= 22°

Step-by-step explanation:

In ΔVWX:

m∠V=(7x−1) ∘

m∠W=(4x+16) ∘ ,

m∠X=(3x−17) ∘ . Find M∠X.

Step 1

We find the variable x

The sum of angles in a triangle is 180°

Hence,

ΔVWX = m∠V + m∠W +m∠X

180° = (7x - 1)° + (4x + 16)° + (3x - 17)°

180° = 7x - 1 + 4x + 16 + 3x - 17

180° = 7x + 4x + 3x - 1 + 16 - 17

180° = 14x -2

Collect like terms

180° + 2 = 14x

182° = 14x

x = 182°/14

x = 13°

Step 2

We find m∠X

m∠X = (3x−17) ∘

x = 13

m∠X = (3 × 13 − 17)°

m∠X = (39 − 17)°

m∠X = 22°

Answer:

A(n) = 4 + 8(n-1)

Step-by-step explanation:

A(n) = A(n-1) + 8

A(1) = 4

So A(2) = A(1) + 8 = 4 + 8

A(3) = A(2) + 8 = A(1) + 8 + 8 = 4 + 8 + 8

A(n) = 4 + 8(n-1)

The explicit formula for the arithmetic sequence with the given recursive formula A(n) = A(n-1) + 8 and the first term A(1) = 4 is A(n) = 8n - 4.

Given that the first term (A(1)) is 4, we can observe that each subsequent term is obtained by adding 8 to the previous term.

The general formula for an arithmetic sequence is A(n) = A(1) + (n-1)d, where A(n) represents the nth term, A(1) is the first term, n is the term number, and d is the common difference.

The first term (A(1)) is 4, and the common difference (d) is 8.

Plugging these values into the general formula, we have:

A(n) = 4 + (n-1)×8

A(n) = 4 + 8n - 8

A(n) = 8n - 4

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Answer:

16cm

Step-by-step explanation:

Step one:

given

the scale of the map

[tex]2 cm: 8 km.[/tex]

Step two:

so if a scale of 2 cm represents 8 km.

       then let xcm be 64km

cross multiply we have

[tex]x*8= 64*2[/tex]

8x= 128

divide both sides by 8

[tex]x= 128/8\\\\x=16cm[/tex]

The map distance is 16cm

Answer:

-6

Step-by-step explanation:

Answer:

3 is a whole number but 2x is 2 multiplied by a variable

Answer: 65 minutes

Step-by-step explanation: 26 / 4 = 6.5

6.5 tables per 10 minutes so 6.5 x 10 = 65 min

Answer:

1 hr and 5 minutes

Step-by-step explanation:

here's why... because 4 goes into 26 6 times with a remainder of 2 and there is 5 mins for every 2 tables and 6 times 10 is 60 which equals a hour and that will be a hour and 5 mins

Answer:

Step-by-step explanation:

#22

The equation in standard form is:

When the quadratic equation has equal roots its discriminant is zero

Answer:

y=4x+4

Step-by-step explanation:

substiute the 1 for the y and the 8 for the x in the form (8=4*1+b)

subtract for so it cancels out on the right and leaves you with 4 on the left equals b on the right.

Answer:

-2

Step-by-step explanation:

7-9=-2 hope this helps

Answer:

The first one. The square is bc the diamond is actually a square just switching it's placement. SO IT OS THE FIRST ONE

Answer:

The correct answer would be A I believe

Answer:

A

Step-by-step explanation:

Its the first letter of the English alphabet

Answer:

Please give more context to what you desire help for.

Answer:

2.09 is the answer now what

Answer:

X = 144

Step-by-Step Explanation

Answer:

He started with $190

Answer:

190

Step-by-step explanation:

because $70 + $120 gives us $190 of how we got the answer is before he spending the 70$ he had $190.

Answer:

No

I hate pokemon.

Answer:

your right

Step-by-step explanation:

Answer:

x < 11

Step-by-step explanation:

35 > -5(4 - x)

35 > -20 + 5x

55 > 5x

x < 11

Topic: Inequalities

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Answer:

8.5×10^-5

Step-by-step explanation:

Answer:

x = 146°

Step-by-step explanation:

(all angles in a triangle add up to 180°)

180 - 115 - 31 = 34

(supplmentary angle)

180 - 34 = 146°

Answer:

[tex]x = 70[/tex]

Step-by-step explanation:

Given

Molly: 50 out of 200

Joel: x out of 280

Required

Find x

Start by representing the giving parameters as ration

Molly= 50 : 200

Joel = x : 280

From the question, the ratios are equivalent. So,

[tex]50 : 200 = x : 280[/tex]

Convert to fractions

[tex]\frac{50}{200} = \frac{x}{280}[/tex]

Solve for x

[tex]x = \frac{50}{200} * 280[/tex]

[tex]x = \frac{1}{4} * 280[/tex]

[tex]x = \frac{280}{4}[/tex]

[tex]x = 70[/tex]

Answer:

Step-by-step explanation:

Since the triangles are equivalent,

3x - 2 = 5

Solve for x.

3x = 7

x = 7/3

Answer: Let's solve your equation step-by-step.

yy=59(45)

Answer:

y=5 or y=−5

Answer:

y = 25

Step-by-step explanation:

y = 5/9 x, x = 45

y = 5/9 × 45

y = 5 × 5

y = 25

Answer:

Step-by-step explanation:

The vertex form of the equation of quadratic function with vertex (h, k) is:

f(x) = a(x - h)² + q

f(x) = 6(x - 10)² - 4    - given function

so:

a = 6,  h = 10,  q =  -4

Answer:

acute angle

Step-by-step explanation:

acute = angles that are less than 90⁰

The triangles which have three angles that measure less than 90° are:

acute triangle, equilateral triangle

"An acute triangle is a triangle with three acute angles that means each angle measures less than 90°."

"An equilateral triangle is a triangle where all sides and angles are equal. Each angle of an equilateral triangle measures 60°. "

"A right triangle is a triangle where one of the angle measures 90°. "

"A triangle that has two sides of equal length is called as an isosceles triangle. Also, two angles that are opposite to equal sides are always equal and measures less than 90°. "

For given question,

As one of the angle of right triangle measures 90°, it is not a required triangle.

Also, for isosceles triangle, although two equal angles measure less than 90°, the third angle can be 90°. So, an isosceles triangle is not a required triangle.

Therefore, the triangles that have three angles that measure less than 90° are:

1) acute triangle

2) equilateral triangle

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Answer:

$3.00

Step-by-step explanation:

5x + 3y = 30 - - - - - 1 x 4

3x + 4y =29 - - - - - -2 x 3

--------------------------------------------

20x +12y = 120 - - - - 3

9x + 12y = 87 - - - - - 4

--------------------------------------------

3-4

20x - 9x= 120 - 87

11x = 33

X= 33

11

X = 3

The cost of cleaning each shirt is 3 dollars.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Assuming the cost of cleaning 1 shirt is x and the cost of cleaning 1 pant is y.

The first customer paid $30.00 for 5 shirt cleanings and 3 pants cleaning.

∴ 5x + 3y = 30...(i)

The second customer paid $29.00 for 3 shirt cleanings and 4 pants cleaning.

∴ 3x + 4y = 29...(ii)

Now to cancel out 'x' in both equations we multiply eqn(i) by 3 and eqn(ii) by 5.

So, 15x + 9y = 90...(iii) and 15x + 20y = 145...(iv)

Now subtracting (iii) from (iv) we get 11y = 55 ⇒ y = 5 and substituting the value of y in eqn(iv) we get x = 3.

The cost of cleaning each shirt is 3 dollars.

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Heres an idea, ask if you need more :)

Step-by-step explanation:

I Wet My Plants: The Effect of Different Types of Water on the Growth of Plants

Answer:

y = 1/3 x + 2

Step-by-step explanation:

We see points (-3, 1) and (3, 3).

We also see point (0, 2), the y-intercept.

To go from (-3, 1) to (3, 3), go up 2 and right 6.

slope = m = rise/run = 2/6 = 1/3

y = mx + b

y = 1/3 x + 2

Answer:

The intial fee is $5

The equation to represent this is: y=12x+5

12 is the cost per hour    x=hours  y=total cost  

Step-by-step explanation:

77-41=36

36/3=12

12*6=72

77-72=5