Which is a simplified form of the expression 2(5x + 1) – 3x?
7x + 1
7x + 2
4x + 1
4x + 2

Answer:

A) ∠9 = ∠10 = ∠11 = ∠12  = 90°

∠2 = ∠3 = ∠5 = ∠8 = 135°

∠1 = ∠4 = ∠6 = ∠7 = 45°

B) 1. ∠4 and ∠1 -> vertical angles

2. ∠7 and ∠5 -> supplementary

3. ∠9 and ∠10 -> supplementary

Step-by-step explanation:

Data

The following are vertical angles, so they are congruent:

∠1 ≅ ∠4

∠3 ≅ ∠2

∠11 ≅ ∠9

∠10 ≅ ∠12

∠7 ≅ ∠6

∠5 ≅ ∠8

From here and data, it is deduced that

∠11 ≅ ∠9 ≅ ∠10 ≅ ∠12

From the picture, the addition of them is equal to 360°, then:

∠11 + ∠9 + ∠10 + ∠12 = 360°

4*∠11 = 360°

∠11 = 360°/4

∠11 = 90° = ∠10 = ∠9 = ∠12

∠2 and ∠4 are supplementary, then:

∠2 + ∠4 = 180°

∠2 = 180° - 45°

∠2 = 135°

∠7 and ∠5 are supplementary, then:

∠7 + ∠5 = 180°

∠7 = 180° - 135°

∠7 = 45°

Answer:

Started learning this today and this made a lot easier

Answer:

Step-by-step explanation:

Answer:

0.8 < x < 16.8

Answer:

i think that the size for side x is 8.2

Step-by-step explanation:

hope this helps!

Answer:

x = 0.9

Step-by-step explanation:

For a problem like this, you're going to do a proportion.

Original picture (bigger photo) = Pre image

New picture (the smaller photo) = image

(Please don't mind my horrible writing)

Answer:

it's Zac Efron for sure, Leonardo DiCaprio is just not the same...

Answer:

Art

Step-by-step explanation:

just ask??

Answer:

0.42

0.15

0.19

Step-by-step explanation:

Each person will drink (12.6/30=0.42) liters of punch.

Each person will drink (4.6/30=0.15) gallons of icecream.

Each person will drink (5.7/30=0.42) pounds of fudge.

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1. In the first problem, we need to subtract 1 from 9 since there is an addition:

9 – 1 = 8

Next, divide 8 by 2, and we get:

8 ÷ 2 = 4

This means that x = 4

Finally, check the answer by:

2(4) + 1 = 9

2. In the second problem, we need to subtract 3 from 19 since there is an addition:

19 – 3 = 16

Next, divide 16 by 4, and we get:

16 ÷ 4 = 4

This means that x = 4

Finally, check the answer by:

4(4) + 3 = 19

3. In the third problem, we need to add 2 with 7 since there is subtraction:

2 + 7 = 9

Next, divide 9 by 3, and we get:

9 ÷ 3 = 3

This means that x = 3

Finally, check the answer by:

3(3) – 2 = 7

Hope this helps :)

Answer:

4. A: 245

5. B: 4/12 and 6/18

6. B: p=28

Step-by-step explanation:

Answer:

The answer is no because for 1 hour he gets 20 dollars and for 2 hours he gets 30$ (which is less for working 2 hours). So, if you multiply 2 hours with 20 dollars, you should get 40, not 30. So therefore, it is not proportional. And same for 3 hours: multiply 3 with 20 to get 60, not 50.

Answer:

1/3 is correct answer

Step-by-step explanation:

The fraction of his total time spent doing maths homework is 3/16 hours.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Time spent on homework = 3/4 hours

Time spend on maths homework.

= 1/4 x 3/4 hours

= 3/16 hours

Thus,

The time spends on maths homework is 3/16 hours.

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Answer: 8/21

Step by step Explanation:

1/3 x 5/7 = 5/21

Step-by-step explanation:

Hey there!

While factorising you remember to make it take common in most of the expression.

Here;

=mx+cx+my+cy

Take common 'x' in "mx+cx" and 'y' in my + cy.

= x(m+c) + y(m+c)

Now, "(m+c)" common again.

= (m+c) (x+y)

Therefore the factorized form of the expression in (m+c)(x+y).

Hope it helps...

Answer:

b) 600 divided by the second power is 6 :)

Please mark brainliest!

The expression 600 divided by 10 to the second power = 6 is true.

Option B is the correct answer.

We have,

A.

600 divided by 10 to the first power

This can be written as,

600 ÷ 10

600/10

60

B.

600 divided by 10 to the second power

600 ÷ 10²

600/10²

600/100

6

C.

600 divided by 10 to the third power

600 ÷ 10³

600/10³

600/1000

0.6

D.

600 divided by 10 to the fourth power

600 ÷ \(10^4\)

600/10000

6/100

0.06

Thus,

600 divided by 10 to the second power = 6 is true.

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Answer:

\(122 degrees\)

Step-by-step explanation:

\(x = 49 + 73 \\x=122\)

Answer:

a

Step-by-step explanation:

Answer: A would be your best answer

Step-by-step explanation:

The correct answer is U′(1, −1), V′(4, 0), W′(1, 4). When a point is rotated 90° counterclockwise about the origin, the x-coordinate and y-coordinate change places, and the sign of the new x-coordinate is the opposite of the original y-coordinate. So for example, point U(−1, 1) becomes U′(1, −1).

Answer:

Answer B

Step-by-step explanation:

You need to first find the surface area of the triangular prism.

In order to do that, we need to first know the length of the base of the triangles on both side. So, I used the pythagorean theorem (a²+b²=c²) after making the triangle a right triangle by cutting it in HALF.

a²+b²=c²

a²+2.6²=3²

a²+6.76=9

Subtract 6.76 on both sides

a²=2.24

a=√2.24

a=1.49666295471

Now, we know that the base of HALF of the triangles on both sides of the prism is 1.496......

We need to MULTIPLY this by 2 to get the full length. So, the length of the bases of both triangles is 2.99332590942

The height of the triangles is 2.6

We are going to first find the area of one triangle and multiply it by 2, to get the area of both triangles.

Area of a triangle = base x height ÷ 2

2.6 x 2.99332590942= 7.78264736449

7.78264736449 ÷ 2 = 3.89132368224

3.89132368224 x 2 (because we have 2 triangles) =7.78264736449  cm squared

Now, we know the area of both triangles, but we now need to add the add the surface area of the rectangles in the net.

Area of a rectangle = length x width

We know that all of the three rectangles are equal in size, and that the length of each one of them is 15 cm. However, the width/height of each one is unknown. We will find out the height of each one by looking at the length of the base of the triangle attached to the first one. We know that because of the base of the triangles = 2.99332590942, the width of the attached rectangles are 2.99332590942. We found this using the Pythagorean theroem (look above).

15 x 2.99332590942= 44.8998886413

44.8998886413 x 3 (because we have 3 of the same rectangles)= 134.699665924 cm squared

Now, we must ADD the surface area of the rectangles AND the triangles.

7.78264736449 (triangles) + 134.699665924 (the three rectangles)= 142.482313288 cm squared.

The CLOSEST OPTION to the answer we got is ANSWER B because it is 142.8 cm squared, which is the closest to the answer we got which was 142.482313288 cm squared.

I really hope this helps :)

Answer:

the answer is B

Step-by-step explanation:

Jason: 3.99(21) = $83.79

Sam: 5.99(12) = $71.88

Jason made the most money

83.79 - 71.88

He made $11.91 more than the other boy

Answer:

Step-by-step explanation:

Jason made $83.79

Sam made $71.88

Jason made the most

Jason made more money than Sam by $11.91

Hope this helps and good luck on ur test :)

Answer:

See the photo to see where its graphed

Step-by-step explanation:

Answer:

1.11x +3

Explanation:

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter), for example. Simplification of a fraction to an irreducible fraction. Simplification of expressions, in computer algebra.

Answer:

Step-by-step explanation:

Tall candle:

Height = 16 cm

Let x be number of hours

Height that is burnt in 'x' hours = 2.5 *x = 2.5x

Height of the candle after 'x' hours (H) = 16 - 2.5x

When x = 1  ;   H = 16 - 2.5*1 = 16 -2.5  = 13.5 cm

          x = 2 ;   H = 16 - 2.5*2 = 16 - 5   = 11 cm

          x = 3 ; H = 16 - 2.5 * 3 = 16 - 7.5 = 8.5 cm

          x = 4 ; H = 16 - 2.5*4  =  16 - 10   = 6 cm

          x = 5 ; H = 16 - 2.5*5  =  16 - 7.5 = 3.5 cm

          x = 6 ; H = 16 - 2.5*6  =  16 - 15   = 1 cm

Short candle:

Height =12 cm

Let x be number of hours

Height that is burnt in 'x' hours = 1.5 *x = 1.5x

Height of the candle after 'x' hours (h) = 12 - 1.5x

When x = 1  ;   h = 12 - 1.5*1 = 12 - 1.5 = 10.5 cm

          x = 2 ;   h = 12 - 1.5*2 = 12 - 3 = 9 cm

          x = 3 ;   h = 12 -1.5*3  = 12 - 4.5 = 7.5 cm

          x = 4 ;   h = 12 -1.5*4  = 12 - 6   = 6 cm

          x = 5 ;   h = 12 -1.5*5  = 12 - 7.5 = 4.5 cm

          x = 6 ;   h = 12 -1.5*6  = 12 - 9 = 3 cm    

          x = 7 ;   h = 12 -1.5*7  = 12 - 10.5 = 1.5 cm

C)  Intersection point of the two equation is an ordered pair that is solution to both equations.

Here, after 4 hours the height of the both the candle is 6 cm

(4 , 6) is the solution of these two equations.

Y-intercept is the point of intersection where x = 0

X-intercept is the point of intersection at x-axis where y = 0

Yes the short candle can burn more than 7 hours. Short candle can burn for 8 hours

The required measure for the given case is mode. The correct option is (b).

In order to find the mean, first sum all the values of the data and count the number of data then divide them.

In order to find the median, first check whether the number of data is even or odd. For even number, the median is n/2 th element of the sample and for odd number the median is (n + 1)/2 th element.

The given problem deals with a sample of data.

In order find the correct answer, each option is analysed one by one as follows,

(a) The mean of a sample of data represents a standard value for the whole sample such that the individual values of the data may be more or less than it. but, it does not tell about the number of times a value is repeated.

(b)The median of a given sample can tell the middle most value of data when arranged in ascending order.

(c) The mode of a sample is about the times of occurrence of a single value in the whole sample.

As per the given question, to tell about the most frequently brand mode can be used.

Hence, the statistical measure that measures gives the most frequently mentioned brand is mode.

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