After Donovan gives Mabel 6 pears, she has
(x + 6) pears. If Mabel gives one-third of her
pears to Nelson, how many pears, in terms
of x, does Nelson have?

Answer:

37

Step-by-step explanation:

38 + u actually thought lol

Answer:

Answer is x = 31.5

Step-by-step explanation:

Explanation is in the picture. Pls give brainliest. :D

Step-by-step explanation:

remember, the general formula to solve a quadratic equation ax² + bx + c = 0 is

x = (-b ± sqrt(b² - 4ac))/(2a)

a)

I think there is a typo, and this should be

5x² - 7x = 72

5x² -7x - 72 = 0

x = (7 ± sqrt(49 - -1440))/10 = (7 ± sqrt(1489))/10

x1 = (7 + sqrt(1489))/10

x2 = (7 - sqrt(1489))/10

b)

x(x + 2) = 5

x² + 2x - 5 = 0

x = (-2 ± sqrt(4 - -20))/2 = (-2 ± sqrt(24))/2 =

= (-2 ± sqrt(4×6))/2 = (-2 ± 2×sqrt(6))/2 =

= -1 ± sqrt(6)

x1 = -1 + sqrt(6)

x2 = -1 - sqrt(6)

c)

3x² + 2x - 4 = 0

x = (-2 ± sqrt(4 - -48))/6 = (-2 ± sqrt(52))/6 =

= (-2 ± sqrt(4×13))/6 = (-2 ± 2×sqrt(13))/6 =

= (-1 ± sqrt(13))/3

x1 = (-1 + sqrt(13))/3

x2 = (-1 - sqrt(13))/3

Answer:

h(t) = -16t2 + 184t + 18

at the ground h = 0

hence;  -16t2 + 184t + 18 = 0  

solving this quadratic equation using the quadratic formula ; a = -16, b = 184, c = 18 ; x = (-b +-(b2 - 4ac)1/2)/2a

gives t = 11.597 seconds and rounded to the nearest tenth, t = 11.6 (note that the negative root has no practical significance)

Step-by-step explanation:

Answer:

x = 32/67 y = 36/67

Step-by-step explanation:

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

14x-5y = 4 -------2

1×5 ; 25x+15y = 20 --------3

2×3 ; 42x-15y = 12 -------4

3+4 ; 67x = 32

x = 32/67

5×(32/67)+3y = 4

y = 36/37

Answer:

2x + 3y = 7

9x − 2y = 4

Step-by-step explanation:

i did the quiz on flvs

Answer:

y=10/3

Step-by-step explanation:

Answer:

y = - [tex]\frac{24}{7}[/tex]

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 6 when x = - 7

6 = - 7k ( divide both sides by - 7 )

- [tex]\frac{6}{7}[/tex] = k

y = - [tex]\frac{6}{7}[/tex] x ← equation of variation

When x = 4 , then

y = - [tex]\frac{6}{7}[/tex] × 4 = - [tex]\frac{24}{7}[/tex]

Answer:

8×10^5

Step-by-step explanation:

Perimeter= 2( length + width)

= 2(34.5 × 10⁴ + 5.5 × 10⁴)

= 2(40 × 10⁴)

= 80 × 10⁴

= 8 × 10^5 feet

The frequency of this motion is 3 Hz

The standard equation of an oscillation is given by:

x = A cos(ωt + Ф)

Where x is displacement, A is amplitude, ω is angular frequency = 2πf and Ф is phase difference.

Given the equation:

x = 3 cos(6πt + π/2)

Hence;

ω = 6π

2πf = 6π

f = 3 Hz

The frequency of this motion is 3 Hz

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Answer:

 448 2/3

Step-by-step explanation:

To find miles in 1 hour (the unit rate), divide miles by hours.

  (1346 mi)/(3 h) = 448 2/3 mi/h

The unit rate is 448 2/3 miles per hour.

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

Here we've been given,

The standard formula for unit rate is given by,

[tex]:\implies\sf{Unit \: rate = \frac{miles}{hours} } \\ \\ :\implies\sf{Unit \: rate = \frac{1346 \: miles}{3 \: hours} } \\ \\ :\implies\sf{Unit \: rate = 448 \frac{2}{3} \: \frac{miles}{hour} }[/tex]

Answer:

3200/4500=71.1%

so a 29.9% drop

Hope This Helps!!!

Solution:

Let the two digits of a number be X and Y

Let the digit at 10's place = X

Let the digit at 1's place = Y

The two digit number = 10X+Y

Given that

The sum of the digits = 9

⇛ X+Y = 9

⇛X = 9-Y →→→→eqn(i)

If 9 is added to the number the digits interchanged

⇛10X+Y +9 = 10Y+X

⇛10X+Y+9-10Y-X = 0

⇛9X-9Y +9 = 0

⇛9(X-Y+1) = 0

⇛X-Y+1 = 0

⇛9-Y-Y+1 = 0

⇛10-2Y = 0

⇛2Y = 10

⇛Y = 10/2

⇛Y = 5

Now

X = 9-5 = 4

Therefore the number = 45 Ans.

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Answer:

see that attachment

I hope it's help you

Answer:

Well a triangle itself is worth 180 degrees (Inteirior angles)

your given “a” “b” and you need to find c.

So you can subtract

A is 50

B is 55

So

<BCA= 180- 55-50

Is the answer (b)

Answer:

B

Step-by-step explanation:

A triangle's angles all add up to 180 degrees. If m∠A is 50 and m∠B is 55 then m∠C is 75.

m∠C = 180 - (m∠A - m∠B); which is 180 - 105

180 - 105 is 75; Therefore, m∠C is 75 degrees

Proof: 50 + 55 + 75 = 180

Answer:

slope = 6

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (-6, - 4) and (x₂, y₂ ) = (- 4, 8) ← 2 points on the line

m = [tex]\frac{8-(-4)}{-4-(-6)}[/tex] = [tex]\frac{8+4}{-4+6}[/tex] = [tex]\frac{12}{2}[/tex] = 6

The slope of the line given in the task content is; m = 6.

The slope of the line is the rate of change of the dependent variable with respect to the independent variable.

On this note, the slope of the equation is;

Slope, m = (-4-8)/(-6-(-4))

m = -12/-2

m = 6.

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Answer:

a)  320 is correct

b)  20 more 18 year old students

Step-by-step explanation:

a)  320 is correct

b)  20 more 18 year old students:  The only information we have in the 25 - 35 minute time frame is the data for 30 minutes:

12 years: 40 students

18 years:  60 students

Difference = 20 more 18 year old students than 12 year old students spent spent time on social media for 25 - 35 seconds.

Answer:

x=42

Step-by-step explanation:

Answer:

a=g/4b

Step-by-step explanation:

g=4ba

g/4b=a

a=g/4b

Answer:

y = 12x - 22

Step-by-step explanation:

If we first write the equation in vertex form and we identify it (I think you meant to simplify y) we get y = 12x - 22 as your answer!

Answer:

C is the answer because it makes the most sense

The option A and C are negative. also, option B and D are positive.

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

WE need to write the sums of the integers as either positive or negative.

-8+(-9) = -17

This gives the negative answer.

7+(-3) = 4

This gives the positive answer.

5+(-12) = -7

This gives the negative answer.

-12+15 = 3

This gives the positive answer.

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Step-by-step explanation:

Just sum the number of cows and buffaloes:

2p^2 - p + 4 + p^2 + p + 1 = 3p^2 +5 animals.

Answer:

Step-by-step explanation:

here is an explanation:

2p²-p+4+p²+p+1=3p²+5

You can add 2p² and p² because they are both squared (²). -p+p=0, because the first p is negative (-). Lastly, you can add 4+1=5. Hope this helped! Lmkp if you are still confused  :) <3

Answer:

We can rearrange the interest formula, I = PRT to calculate the principal amount. The new, rearranged formula would be P = I / (RT), which is principal amount equals interest divided by interest rate times the amount of time.

Step-by-step explanation:

Hope this helps you sorry if it does not help you

Based on the right application of the reflexive property and subtraction property of equality, the table that correctly lists the reasons to prove that m∠1 ≅ m∠3 is: the table in option B (See attachment below).

The reflexive property of equality states that:

a + b = a + b.

Since m∠1 + m∠2 = 180°, and m∠2 + m∠3 = 180°, therefore, based on the reflexive property, we would have:

m∠1 + m∠2 = m∠2 + m∠3.

Thus, subtracting m∠2 from both sides of the equation will leave us with: m∠1 = m∠3 (subtraction property of equality).

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By using the given diagram, we want to find the area of carpet needed to cover the floor. We will see that we need 188 ft^2 of carpet to cover the floor.

First, remember that for a rectangle of length L and width W, the area is given as:

[tex]A = W*L[/tex]

Now, if we look at the diagram we can see that the area of the carpet is equivalent to the area of a rectangle of 18ft by 14ft minus the area of two rectangles of 8ft by 4ft.

The area of the first rectangle is:

[tex]A = 18ft*14ft = 252 ft^2[/tex]

The area of each one of the smaller ones is:

[tex]A' = 8ft*4ft = 32 ft^2[/tex]

Then the area that we need for the carpet is:

[tex]A - 2*A' = 252 ft^2 - 2*32 ft^2 = 188 ft^2[/tex]

We need 188ft^2 of carpet to cover the floor.

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