Which of the following equations could be used to solve the given equation?

Select the example which illustrates the distributive property of 7 × 39

Lemur [1.5K]

Answer:

d) 7(30 + 9) = 7(30) + 7(9)

Step-by-step explanation:

Distributive method:

a(b + c) = ab + ac

Here given:

7 × 39

Among the option's:

1st option (7 + 3) (7 + 9) is wrong, changes final answer.

2nd option (7 × 30) + 9 is wrong, changes final answer.

3rd option 39 × 7 shows commutative property of multiplication.

4th option show distributive method.

3 0

1 year ago

Read 2 more answers

Write a mathematical sentence for the inequality twice the difference of a number and seven is less than or equal to forty

Illusion [34]

$2x + 7\leqslant 40$
Sounds like that to me but that is symbolically showing of that's what your teacher means as mathematical sentence

5 0

3 years ago

Read 2 more answers

the value y varies directly with x. which function represents the relationship between x and y if y=20/3 when x=30?

joja [24]

If y varies directly with x, means that they can be modeled by a linear equation, lets choose a line with 0 y intercept, that is:
y = mx + b
y = mx
where m is the slope of the line, now we plug in the data we have:
y = mx
20/3 = m(30)
solving for m:
m = (20/3)(1/30)
m = 20/90
m = 2/9
so the line equation, or function modeling the y and x relationship is:
y = (2/9)x

6 0

3 years ago

Solve each equation below for x show all work and check your answer by substituting it back into the equation and verifying that

Viefleur [7K]

Answer:

The equations are

(a) x/3 = 6

(b) (5x + 9)/2 = 12

(c) x/4 = 9/6

(d) 5/x = 20/8

The answers to the question are

(a) x = 18

(b) x = 3

(c) x = 6

(d) x = 2

Step-by-step explanation:

(a) x/3 = 6

Therefore x = 3×6 = 18

x =18

Substituting the value of x in the above equation, we have

18/6 = 3 verified

(b) (5x + 9)/2 = 12

Multiplying both sides by 2 gives

(5x + 9)/2 × 2 = 12×2 = 24

5x + 9 = 24 or x = (24-9)/5 = 3

Substituting the value of x in the above equation, we have

(5×3 + 9)/2 = 24/2 = 12 verified

x = 3

(c) x/4 = 9/6

Multiplying both sides by 4, we have

x/4×4 = 9/6×4 = 6

x = 6

Substituting the value of x in the above equation, we have

(6/4 = 9/6 = 3/2 verified

(d) 5/x = 20/8

Inverting both equations, we have

x/5 = 8/20

Multiplying both sides by 20 we have x/5 × 20 = 8/20 × 20 or 4x = 8 and x = 2

Substituting the value of x in the original equation, we have

2/5 = 2/5 = 8/20 verified

x = 2

6 0

3 years ago

Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he’ll call her on the

Alexandra [31]

Answer:

84%

Step-by-step explanation:

The probability of Thomas bumping into her at school is 80%, so the probability of not bumping into her is 100% - 80% = 20%.

If he doesn't bump into her (20% chance), he will call her, and the probability of asking her in this case is 60%, so the final probability of asking her in this case is:

$P_1 = 20\% * 60\% = 12\%$

If he bumps into her (80% chance), the probability of asking her is 90%, so the final probability of asking her in this case is:

$P_2 = 80\% * 90\% = 72\%$

To find the probability of Thomas inviting Madeline to the party, we just have to sum the probabilities we found above:

$P = P_1 + P_2$

$P = 12\% + 72\% = 84\%$

5 0

3 years ago