What is the solution to the system of equations?
(-6,-2)
(-2,-6)
(2,-4)
(-4,2)​

Answer:

C.) 3a + 2c

Step-by-step explanation:

$3 per adult (a)

$3(a)

     +

$2 per child (c)

$2(c)

Answer:

C. 3a+2c

Step-by-step explanation:

It is 3 $ for a adult hence the 3a and 2$ for a child hence 2c

Answer:

A

Step-by-step explanation:

not sure gusto ko lang tumulong

Juan sent 34 text messages.

First, you have to subtract 35 from 52. The answer you should get is 17. If you divide 17 by $.50 you should get 34.

Answer:

$36.75

Step-by-step explanation:

You do 5% of 35 which equals 1.75 that’s your sales tax.

then add 1.75+35.00= 36.75

Answer:

It is the first one

Step-by-step explanation:

Answer:

See attachment

PS:

Can I have Brainliest?

The correct statement is  BC equals to AC times CE all over CD.

We have, If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. this is known as the triangle proportionality theorem.

Given, DE and AB are parallel

So,   [tex]\frac{BC}{CE} =\frac{AC}{CD}[/tex]

[tex]BC = \frac{AC\times CE}{CD}[/tex]

Therefore in statement form we say that BC equals to AC times CE all over CD.

For more details on proportionality theorem follow the link:

https://brainly.com/question/2078223

3 out of 12

1 out of 4

yea hopefully correct

Answer:

Square root2 /3

Step-by-step explanation:

1. Multiply both numerator and denominator by square root of 2.

2. Square root 2 times itself is just 2 that so denominator is 5-2

3. 1 times Square root 2 is just Square root 2. So numerator is Square root 2

4. 5-2=3 so final answer is Square root 2 over 3

Answer:

8700kg

Step-by-step explanation:

lorry + bricks = 11600kg

bricks = 3(mass of empty lorry)

lorry mass is x

there for bricks = 3x

x+3x = 11600

4x =11600

x= 2900kg

mass of bricks = 3(2900)

=8700kg

Answer:

Mean = 13.14, Median = 14, Mode = 15

Step-by-step explanation:

The mean is the numbers added together divided by the number of numbers

15 + 11 + 14 + 10 + 12 + 15 + 15 = 92

92 / 7 = About 13.14

The median is the middle of the numbers ordered from least to greatest

10 11 12 14 15 15 15

14 is in the middle so that is the median.

The mode is the number showing up the most.

15 shows up 3 times so it is the mode.

Answer:

(12, - 1)

Step-by-step explanation:

x - 2y = 14 ......... (1)

x + 3y = 9 ......... (2)

(2) - (1)

(x - x) + (3y - ( - 2y)) = 9 - 14

5y = - 5 ⇒ y = - 1

x + 3( - 1) = 9 ⇒ x = 12

(12, - 1)

Answer:

Step-by-step explanation:

Given the angle ∠AOB

It is stated that CO is the angle bisector of ∠AOB.

Given that ∠AOB = 30°

As we know that the angle bisector bisects the angle into two equal angles.

Thus, the angle bisector CO bisects the angle ∠AOB into two equal angles, which are:

as

∠AOB = 30°

Thus, the two formed angles i.e m∠AOC and m∠BOC by the angle bisector would be half of the angle bisector as the angle bisector bisects the angle ∠AOB into two equal angles.

Therefore,

Answer:

71

Step-by-step explanation:

There are 12 inches in a foot:

12 inches x 5 feet = 60

60 + 11 inches = 71 inches total

Answer:

71 inches

Step-by-step explanation:

12 inches in a foot

12*5

60+11

71 inches

Hope this hopes. Have a great day. May it be filled with joy and happiness.

Answer:

my answer came out to x = 6 + 1.5y

Step-by-step explanation:

Answer:

g = 2d - 8

g + d = 46

Answer:

The school took in $52 on there second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen

Step-by-step explanation:

Answer:

(1) = (e) 7x. (2) = (b) 7+x. (3) = (d) x-7. (4) = (c) 2x+7

Answer:

11) y= -1x-2

12) y= 3/2x+3

13) y= 3x-2

14) y= 3/4x+1

15) y= 1/2x+1

16) y= -2/5x+0

17) y=7x+2

18) y= 4/3x-4

Step-by-step explanation:

y=mx+b

m is slope and b is y intercept

Answer:

The range is [0,37.5]

Step-by-step explanation:

We start by writing the equation that links x and y

From the question;

y = 7.5x

Now, she has enough material to make 5 only

When we talk of range, we are referring to the values on the y-axis

So the lowest y value is 0

and since the highest number of bracelets is 5;

The total cost of the 5 is 7.5(5) = 37.5

So the range is [0,37.5]

Answer:

(6x5 -6) +56

(30-6) +56

24+56

80

Step-by-step explanation:

Answer:

9:00

Step-by-step explanation:

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

5x - 7 + 2x = 21

Step 2: Solve for x

Answer:

HIIIIIIIIIIII

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

brainest plz

Answer:

At least 2 weeks

Step-by-step explanation: You divide until you reach 200

9514 1404 393

Answer:

  17. True

  18. False

Step-by-step explanation:

A dilation will be an enlargement when the magnitude of the scale factor is greater than 1.

__

17. The magnitude of the scale factor is 1 2/3, a value greater than 1. The dilation is an enlargement (True).

__

18. The magnitude of the scale factor is 1/2, a value less than 1. The dilation is not an enlargement. The statement is False.

Answer:

Exact Distance = [tex]\frac{4\sqrt{10}}{5}[/tex]

Approximate Distance = 2.529822

============================================

Explanation:

This process is quite involved if you don't know the shortcut formula. I'll go over the long method first, and then show the shortcut in the next section.

First we'll need the equation of the line through points O and M. Use of the slope formula will show line OM has slope -1/3, which you are correct in stating.

Then use point slope form to determine the equation of line OM is y = (-1/3)x+11/3. This converts to the standard form x+3y = 11.

For anything in the form Ax+By = C, the equation perpendicular to this is of the form Bx-Ay = D. The A,B coefficients swap, and one item is negated. This helps form the negative reciprocal slope needed for the perpendicular line.

Compare x+3y = 11 to Ax+By = C. We see that A = 1 and B = 3.

So Bx-Ay = D turns into 3x-y = D. Then plug in the coordinates of H(-3,2) and compute to get

3x-y = 3(-3)-2 = -9-2 = -11. So D = -11

The equation 3x-y = D turns into 3x-y = -11 which is the equation of the line through point H and this line is perpendicular to line OM.

At this point, we have this system of equations

x+3y = 11

3x-y = -11

Solve that system however you wish. Substitution may be the best choice. Doing so leads to the intersection point (-2.2, 4.4)

The last step is to apply the distance formula between the points H(-3,2) and the intersection point (-2.2, 4.4)

The distance you should get is [tex]\frac{4\sqrt{10}}{5} \approx 2.529822[/tex]

I'm skipping steps because listing everything out would take up way too much space in my opinion.

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

The first section goes over a fairly lengthy process of finding the perpendicular distance. Luckily, there's a shortcut.

Consider an equation of the form Ax+By=C, aka standard form. Now consider a point P located at (m,n) that is not on the line Ax+By = C. We can find the distance from P to the line using this formula below

[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}[/tex]

In this case, A = 1, B = 3 and C = 11 found back in the previous section. So you'll still need to calculate the equation of line OM.

Also, we'll use (m,n) = (-3,2) which are the coordinates of point H

From here it's a fairly straightforward computation

[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}\\\\d = \frac{|1*(-3)+3*2-11|}{\sqrt{(1)^2+(3)^2}}\\\\d = \frac{|-8|}{\sqrt{1+9}}\\\\d = \frac{8}{\sqrt{10}}\\\\[/tex]

Optionally we can rationalize the denominator like so

[tex]d = \frac{8}{\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10}\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10*10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{100}}\\\\d = \frac{8\sqrt{10}}{10}\\\\d = \frac{2*4\sqrt{10}}{2*5}\\\\d = \frac{4\sqrt{10}}{5}\\\\d \approx 2.529822\\\\[/tex]

There are different ways to write down the answer, but they all represent the same number.