In a certain year, the average e-mail user sent or received 111 e-mails each day. The number of e-mails received was 3 more than twice the number
sent. How many were sent and how many were received each day?

Answer:

7

Step-by-step explanation:

x+5x<12

x+5x=12

12-5x

=7

7 divide by 1

=7

Answer:

Mr Lee gets 9kg

Mrs Scarlett gets 6kg

Step-by-step explanation:

First, we have 15kg of chocolate and a total of 6 + 4 = 10 people.

We want to divide the 15kg of chocolate evenly between these 10 people, then we just need to do the quotient

15kg/10 = 1.5kg

This means that each person gets 1.5 kg of chocolate.

Now, Mr. Lee has a family of 6 people, and each one of these 6 people got 1.5 kg of chocolate, then the total amount of chocolate that Mr. Lee will bring home is 6 times 1.5kg:

6*1.5kg = 9kg

And Mrs Scarlett will get the remaining, that is:

15kg - 9kg = 6kg

Mrs Scarlett will get 6kg of chocolate.

Answer:

[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]

Step-by-step explanation:

We want to find the locus of a point such that the sum of the distance from any point P on the locus to (0, 2) and (0, -2) is 6.

First, we will need the distance formula, given by:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let the point on the locus be P(x, y).

So, the distance from P to (0, 2) will be:

[tex]\begin{aligned} d_1&=\sqrt{(x-0)^2+(y-2)^2}\\\\ &=\sqrt{x^2+(y-2)^2}\end{aligned}[/tex]

And, the distance from P to (0, -2) will be:

[tex]\displaystyle \begin{aligned} d_2&=\sqrt{(x-0)^2+(y-(-2))^2}\\\\ &=\sqrt{x^2+(y+2)^2}\end{aligned}[/tex]

So sum of the two distances must be 6. Therefore:

[tex]d_1+d_2=6[/tex]

Now, by substitution:

[tex](\sqrt{x^2+(y-2)^2})+(\sqrt{x^2+(y+2)^2})=6[/tex]

Simplify. We can subtract the second term from the left:

[tex]\sqrt{x^2+(y-2)^2}=6-\sqrt{x^2+(y+2)^2}[/tex]

Square both sides:

[tex](x^2+(y-2)^2)=36-12\sqrt{x^2+(y+2)^2}+(x^2+(y+2)^2)[/tex]

We can cancel the x² terms and continue squaring:

[tex]y^2-4y+4=36-12\sqrt{x^2+(y+2)^2}+y^2+4y+4[/tex]

We can cancel the y² and 4 from both sides. We can also subtract 4y from both sides. This leaves us with:

[tex]-8y=36-12\sqrt{x^2+(y+2)^2}[/tex]

We can divide both sides by -4:

[tex]2y=-9+3\sqrt{x^2+(y+2)^2}[/tex]

Adding 9 to both sides yields:

[tex]2y+9=3\sqrt{x^2+(y+2)^2}[/tex]

And, we will square both sides one final time.

[tex]4y^2+36y+81=9(x^2+(y^2+4y+4))[/tex]

Distribute:

[tex]4y^2+36y+81=9x^2+9y^2+36y+36[/tex]

The 36y will cancel. So:

[tex]4y^2+81=9x^2+9y^2+36[/tex]

Subtracting 4y² and 36 from both sides yields:

[tex]9x^2+5y^2=45[/tex]

And dividing both sides by 45 produces:

[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]

Therefore, the equation for the locus of a point such that the sum of its distance to (0, 2) and (0, -2) is 6 is given by a vertical ellipse with a major axis length of 3 and a minor axis length of √5, centered on the origin.

Answer:

where are the equations

Step-by-step explanation:

m is how much more she needs to save

510+8+6=516+m

m=8

Answer:

x = 4

Step-by-step explanation:

(7 + 2x) / 3 = 5

Cross product

7 + 2x = 5 * 3

7 + 2x = 15

Subtract 7 from both sides

2x = 15 - 7

2x = 8

Divide both sides by 2

x = 8/2

x = 4

Answer:

there aint no picture

Step-by-step explanation:

Answer:

The answer is 25

Step-by-step explanation:

6•5=30

30+20=50

50/-2=25

Answer:

(C) x=50

Step-by-step explanation:

[tex]\frac{3}{5 }x -7=23[/tex]

[tex]\frac{3x}{5} -7=23[/tex]

[tex]\frac{3x}{5} -7+7=23+7[/tex]

[tex]\frac{3x}{5}=30[/tex]

[tex]3x=30* 5[/tex]

[tex]3x=150[/tex]

[tex]x=50[/tex]

Answer:

(C) X = 50

Step-by-step explanation:

(3/5)*x-7 = 23 // - 23

(3/5)*x-23-7 = 0

3/5*x-30 = 0 // + 30

3/5*x = 30 // : 3/5

x = 30/3/5

x = 50  (Sorry if it's wrong)

Answer:

no solutions

Step-by-step explanation:

i guess   im

Answer:

Y = 3 - 2x

Step-by-step explanation:

Answer:

x= 100 degrees

Because the angles are vertical

Answer: 16pi

Step-by-step explanation:

Step-by-step explanation:

For a quadratic equation to have no real roots, the discriminant b² - 4ac must be negative.

For px² + 8x + 2 = 0,

We have a = p, b = 8 and c = 2.

=> (8)² - 4(p)(2) < 0

=> 64 - 8p < 0

=> 8p > 64

=> p > 8

Hence the range for p is p > 8.

Answer:

32 F

Step-by-step explanation:

Answer:

3/9

Step-by-step explanation:

3/9 because it goes up 3 right 9

Answer:

Surface area of cuboid = 352 cm

Step-by-step explanation:

Given that:

Height of cuboid = 8 cm

Length of cuboid = 12 cm

Width of cuboid = 4 cm

Surface area = 2lw + 2lh + 2hw

Putting all the values;

Surface area = 2*12*4 + 2*12*8 + 2*8*4

Surface area = 96 + 192 + 64

Surface area = 352 cm

Hence,

Surface area of cuboid = 352 cm

Answer:

B

Step-by-step explanation:

Answer:

40.9 - 5y

Step-by-step explanation:

25.6 - 5y + 15.3

40.9 - 5y ## ^ combine like-terms

Answer:

∠ AFE = 35°

Step-by-step explanation:

∠ EFD = ∠ BFC = 55° ( vertically opposite angles )

Since BD is a straight line , then

∠ EFD + ∠ AFE + AFB = 180°, that is

55° + ∠ AFE + 90° = 180

∠ AFE + 145° = 180° ( subtract 145° from both sides )

∠ AFE = 35°

Answer: 14, 16, 18, 20 in that order

Step-by-step explanation:

If the bottom response square is asking for a general equation, it would be y=x+7

Answer:

1/64

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

20x+5+24x-1=180

44x=176

x=4

Answer:

Step-by-step explanation:

4.3 °F > 4 1/4 °F