-3x + 12x how do I simplify that?

Answer:

105°

Solution,

[tex]let \: < def \: be \: x \\ x + 28 + 47 = 180 \\ or \: x + 75 = 180 \\ or \: x = 180 - 75 \\ x = 105 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

The total angle of a triangle is 180°. Using this we can find the angle DEF(x).

180=28+47+x

180=75+x

180-75=x

105=x

SO angle DEF=105°

Hope it helps!!

Answer:

AC 5

AB = 3

Step-by-step explanation:

AC = distance between the points

C-A = 3 - -2 = 3+2 = 5

The distance is 5

AB = distance between the points

B-A = 1 - -2 = 1+2 = 3

The distance is 3

Answer:

AC = 5

AB = 3

Step-by-step explanation:

AC:

3 - X = -2

3 - 5 = -2

AB:

1 - X = -2

1 - 3 = -2

Answer:

39 degrees

Step-by-step explanation:

It is shown that there is a 90 degree angle one part is given so 90-51=39 degrees.

Answer:

b = 39°

Step-by-step explanation:

The box means that it is a right angle and a right angle means it is 90 degrees.

90 degrees - 51 degrees = 39 degrees

b = 39°

Answer:

It is complementary.

Step-by-step explanation:

It is since the two angles add up to 90 degrees. If they were vertical angles they would be opposite and be made by intersecting lines. Complementary angles - Angles next to each other that add up to 90 degrees.     Supplementary angles : Angles that are next to each other adding up to 180 degrees.

Answer:

720

Step-by-step explanation:

The lock requires that repetition is not allowed.

The possibles numbers are 0 - 9, that is, 10 digits.

The first number in the combination can be picked from the 10 digits.

This means that there are 10 possible choices.

The second number in the combination can now only be picked from 9 digits.

This means that there are 9 possible choices.

The third number in the combination can now only be picked from 8 digits.

This means that there are 8 possible choices.

Therefore, the number of possible outcomes in the combination is:

10 * 9 * 8 = 720 outcomes

Answer:

4.104

Step-by-step explanation:

Volume of any prism = Area of cross section x height.

so, volume = 0.6 x 1.9 x 3.6 = 4.104

Answer:

3x + 9

Step-by-step explanation:

For value of (f+g)(x) add two functions up

x + 3 + 2x + 6 = 3x + 9

Answer:

Number of apple = 119

Step-by-step explanation:

Given

[tex]Max_{Apple} = 150[/tex]

Required

Find the actual number of apples;

When counted in any numbers, the number being counted is the divisor;

Take for instance, when counted in pairs, the divisor is 2

When counted in threes,  the divisor is 3

and so on...

So; from the question, we understand that; when the apple is counted in 2s,3s,4s,5s, and 6s; what's left is always one less than the divisor

This means that the number of apple must satisfy the following conditions

The common multiple of 2,3,..6 are 60, 120 ,180,240.....

Recall that, these multiples must satisfy the three conditions above;

1. Less than 150: Only 60 and 120 satisfy condition.

At this point, we'll discard other numbers (180,240,300.....)

2. 1 less than the Common Multiple of 2,3,..,6:

1 less than 60: 60 - 1 = 59

1 less than 120: 120 - 1 = 119

3. Divisible by 7

At this point, we'll divide 59 and 119 by 7 to see if they satisfy this condition;

[tex]\frac{59}{7} = 8.42857142857[/tex]

[tex]\frac{119}{7}=17[/tex]

The results of these division shows that 59 is not divisible by 7;

Hence, the actual number of apple is 119

Number of apple = 119

Answer:

His percentage profit is 12%

Step-by-step explanation:

Here, we want to calculate the percentage profit made by the business man.

Per kg of what he is selling, he has 3 parts high quality sugar and 5 parts low quality sugar.

Now let’s see how much these costs

For the high quality sugar, it’s total kg mixed per kg will be 3/(3+5) = 3/8

Since high quality sugar costs 10 shillings per kg, 3/8 of a kg will cost 3/8 * 10 = 30/8 = 3.75 shillings

For the low quality, its part will be 5/(3 + 5) = 5/8

since low quality costs 8 shillings per kg, 5/8 of a kg will cost 5/8 * 8 = 5 shillings

Total cost price = 3.75 + 5 = 8.75 shillings

% profit = (selling price - cost price)/cost price * 100%

selling price here is 9.8 shillings per kg

while cost price is 8.75 shillings per kg

% profit = (9.8-8.75)/8.75 * 100%

= 1.05/8.75 * 100% = 0.12 * 100% = 12%

Answer & Step-by-step explanation:

18 - (2x + 1)

Distribute the negative sign (-) to 2x + 1.

18 - 2x - 1

Put -2x in the beginning of the expression and combine like terms.

-2x + 17

So, the answer to 18 - (2x + 1) is -2x + 17.

Answer:

(D) [tex]\angle CAB[/tex].

Step-by-step explanation:

The diagram is attached below:

Theorem: An exterior angle of a triangle is equal to the sum of the opposite interior angles.

The exterior angle is the angle formed by the third side and a straight line which forms a supplementary angle with the third interior angle.

In the diagram:

[tex]\angle ABF$ and \angle AFB[/tex] are opposite interior angles.

The third angle is [tex]\angle BAF[/tex]

The angle which forms a supplementary angle with [tex]\angle BAF[/tex] is [tex]\angle CAB[/tex].

Therefore, the exterior angle of triangle ABF is  [tex]\angle CAB[/tex].

Answer:

D

Step-by-step explanation:

Just took the test and got it right

Answer: (2,6)

Step-by-step explanation: you go the the left 3 from F then up 2 and you have it.

Answer:

See attachment.

Step-by-step explanation:

See attachments.

Answer:

C

Step-by-step explanation:

A<B<D do not make sense

Answer: (x+2)(x+3)

Step-by-step explanation:

Find the multiples of 6 and then see which two numbers adds up to 5

Answer: - 2.5

Step-by-step explanation:

Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.

From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.

(-3 + - 2) / 2 = - 5/2 = - 2.5

Answer:

2664

Step-by-step explanation:

9.25×36+(380÷20)×8

Answer:

625

Step-by-step explanation:

The maximum is the y-coordinate of the vertex. The vertex is (25, 625) so the answer is 625.

Answer:

x= 4 y = -1

(5,-1)

Step-by-step explanation:

x + y = 4 x − y = 6

Add the two equations together to eliminate y

x + y = 4

x − y = 6

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

2x = 10

Divide by 2

2x/2 = 10/2

x = 5

Now find y

x+y = 4

5+y = 4

Subtract 5 from each side

5+y-4 = 4-5

y = -1

Answer

5,-1

Step-by-step explanation:

edg 2020

Answer:

10/4 = [tex]\frac{10}{4}[/tex]

Step-by-step explanation:

Answer:

y=-5,x=2

Step-by-step explanation:

3x+3y=-9________________eqn 1

3x-3y=21________________eqn 2

using elimination method

3x+3y=-9

-

3x-3y=21

subtract equation 2 from equation 1

0+6y=-30

6y=-30

y=-30/6

y=-5

substitute the value of y in equation 1

3x+3y=-9

3x+3(-5)=-9

3x-15=-9

3x=-9+15

3x=6

x=6/3

x=2

Answer:

the perimeter of Ray D. Hall park is 377 m

and the perimeter of Rex Tangle park is 400 m

and Jessica's walk is longer.

Step-by-step explanation:

I will be showing you the graphing method.

To find the slope of the line using the graphing method,

we start by plotting our two points.

We will call (4,7) point A and (5,3) point B.

Now daw a line that contains these points.

Now remember that the slope or m is equal to the rise/run.

So to get from point A to point B, we rise -4 units

and run 1 unit so our slope is -4/1 or -4.

Answer:

155 and 25

Step-by-step explanation:

Answer: 155

Step-by-step explanation:

Two Lines that intersect form TWO angles. The sum of the Two Angles is always 180 degrees.

180-25 = 155

Answer:

[tex](4x + 11) + (12x + 2) =(4x + 12x) + (2 + 11) = 16x + 13[/tex]

Step-by-step explanation:

Answer = a. 16x+13

Answer:

3

Step-by-step explanation:3x2=6

Answer:

x1 = 4/3, x2 = 1/2

Value to fill in the question mark: 3

Step-by-step explanation:

The vertical asymptotes occurs when the denominator of y are 0, so the value of y goes to infinity.

So, to find the asymptotes, we need to calculate:

[tex]6x^{2} - 11x + 4 = 0[/tex]

Using Bhaskara's formula. we have:

[tex]\Delta = (-11)^2 - 4*6*4 = 25[/tex]

[tex]\sqrt{\Delta} = 5[/tex]

[tex]x_1 = (11 + 5)/12 = 4/3[/tex]

[tex]x_2 = (11 - 5)/12 = 1/2[/tex]

So the value we need to fill in the question mark is 3

Answer: No. the remote control car traveled 2 miles per hour whereas a car typically travels between 30 miles per hour and 60 miles per hour.

Step-by-step explanation:

[tex]\dfrac{115\ inches}{3.21\ seconds}\times \dfrac{1\ foot}{12\ inches}\times \dfrac{1\ mile}{5280\ feet}\times \dfrac{60\ seconds}{1\ minute}\times \dfrac{60\ minutes}{1\ hour}\\ \\\\=\dfrac{414,000\ miles}{203,385.6\ hours}\\\\\\=\dfrac{2.0\ miles}{1\ hour}[/tex]

Speed of Courtney's remote control car is: 2 mph

Courtney's remote control car is slower than an average freeway car  since averagely the speed of a car on the freeway is usually 60 mph.

Given that:

Distance covered by Courtney's car = 115 inches

Time taken to cover that distance = 3.21 seconds

Converting inches to miles and seconds to hours:

[tex]1 inch \approx 0.0000158 miles\\115 inches = 115 \times 0.000158 miles\\=\approx 0.00182 miles\\\\3.21 seconds = \dfrac{1}{3600} \times 3.21 \: hours\\= 0.00089 \: hours\\[/tex]

Thus speed of Courtney's car can be calculated as

[tex]Speed = \dfrac{distance}{time}\\\\= \dfrac{0.00182}{0.00089} mph\\\\= 2.089 mph \approx 2 mph[/tex]

Thus Speed of Courtney's car is approx 2 miles per hour whereas the average speed of a car on a freeway is about 60 miles per hour.

Learn more here:

https://brainly.com/question/11583742

Answer:

$12.5

Step-by-step explanation:

Since there is a 50% chance of landing on an odd number, the expected payoff is 0.5*25=12.5. Hope this helps!

Answer:

You didn't insert the/a file

Step-by-step explanation: