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satela [25.4K]
3 years ago
11

Simplifying algebraic expressions 7(-2r+6)

Mathematics
2 answers:
Softa [21]3 years ago
6 0

Answer:

-14r+42

Step-by-step explanation:

Distribute:

7 x -2r=-14r

7 x 6=42

-14r+42

Hope this helped!

Serhud [2]3 years ago
3 0

Answer:

7(4r)

Step-by-step explanation:

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a long distance call costs $.50 for the first minute and y cents for additional minute. How much does each additional minute cos
Alekssandra [29.7K]

Answer:

$.56

Step-by-step explanation:

The first minute is .50 cents and the subtotal was 5.60. Subtract for the first minute to get the subtotal for 9 minutes.

(5.60-.50=5.10)

5.10 is the amount for 9 minutes so now we will divide to get the price for each minute.

(5.10÷9=.56)

This means each minute after the first minute is $.56 cents.

8 0
3 years ago
!!!Please help!!!<br><br> (See attachment)
Marrrta [24]

Answer:

Given in figure ABCD:

∠ABD≅∠CBD

AB≅CB

To prove:

∠A≅∠C

Solution:

In the figure ABCD, we will first prove the Δ ABD and Δ CBD are congruent.

Thus the proof can be given as:

Statement                  Reason

1) \angle ABD \cong \angle CBD    Given

2) AB\cong CB             Given

3) BD\cong BD       Reflexive property of congruence (As the segment                                          is congruent to itself)

4) \triangle ABD\cong \triangle CBD    S.A.S (Side Angle side)

5) \angle A\cong \angle C   Corresponding parts of congruent triangles are congruent.

Hence proved.

7 0
4 years ago
10 - 2 (3x + 4) &lt; 11
Effectus [21]

Answer:

x > - \frac{3}{2}

Step-by-step explanation:

Given

10 - 2(3x + 4) < 11 ← distribute and simplify left side

10 - 6x - 8 < 11

2 - 6x < 11 ( subtract 2 from both sides )

- 6x < 9

Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity.

x > \frac{9}{-6} ⇒ x > - \frac{3}{2}

6 0
3 years ago
Read 2 more answers
Two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube. One particle tra
zysi [14]

This shows that it will take the particle 23 secs to meet.

The distance travelled by each particle is 50cm

If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,

The first particle distances are 97cm, 93cm, 89cm... every 2secs

This form an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 97

d is the common difference = 4

Substitute

Tn = 97+(n - 1)(4)

Tn = 97 + 4n -4

Tn  = 4n  + 93

Similarly for the distances 49 cm, 47 cm, 45cm .....

This also forms an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 49

d is the common difference = 2

Substitute

Tn = 49+(n - 1)(2)

Tn = 49 + 2n -2

Tn  = 2n  + 47

For the particles to meet, this means that 4n  + 93 = 2n + 47

4n - 2n = 47 - 93

2n = -46

n = -23

This shows that it will take the particle 23 secs to meet.

To get the distance travelled by each particle

Tn  = 4n  + 93

T2 = 4(2) + 93

T2 = 101

For the other sequence;

Tn  = 2n  + 47

T2  = 2(2)  + 47

T2 = 51

Taking the difference;

D = 101 - 51 = 50cm

Hence the distance travelled by each particle is 50cm

Learn more here: brainly.com/question/13989292

3 0
3 years ago
What percentage of the shape is purple
Sliva [168]
The answer is going to be: 75%
5 0
3 years ago
Read 2 more answers
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