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2 years ago

Karin wants to use the distributive property to mentally find the value of 19⋅42+19⋅58. Which expression can she use?

Mathematics

2 answers:

Lisa [10]2 years ago

7 0

Answer : The expression she use can be, $19\times (42+58)$

Step-by-step explanation :

Distributive property Law : It says that multiplying a number by the group of numbers added together is the same as doing each multiplication separately.

For example:

3 × (2 + 4) = 3×2 + 3×4

As we are given the expression:

$19\times 42+19\times 58$

$\Rightarrow 19\times (42+58)$

Thus, the expression she use can be, $19\times (42+58)$

kolbaska11 [484]2 years ago

6 0

Answer:

19 x (42 + 58)

Step-by-step explanation:

The common term is 19

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A wireless company offers two cell phone plans. For the month of September, Plan A charges $35 plus $0.25 per minute for calls.

valentina_108 [34]

Answer:

60 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

For Plan A

Plan A charges $35 plus $0.25 per minute for calls.

$35 + $0.25 × x

35 + 0.25x

For Plan B

Plan B charges $20 plus $0.50 per minute for calls.

$20 + $0.50 × x

20 + 0.50x

For what number of minutes do both plans cost the same amount?

This is calculated by equating Plan A to Plan B

Plan A = Plan B

35 + 0.25x = 20 + 0.50x

Collect like terms

35 - 20 = 0.50x - 0.25x

15 = 0.25x

x = 15/0.25

x = 60 minutes.

Hence, the number of minutes that both plans cost the same amount is 60 minutes

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2 years ago

Two linear equations are shown. A coordinate grid with 2 lines. The first line is labeled y equals StartFraction one-third EndFr

Lorico [155]

Answer:

$(7,\frac{13}{3})$

Step-by-step explanation:

we have

The equation of the first line

$y=\frac{1}{3}x+2$ ------> equation A

The equation of the second line

$y=\frac{4}{3}x-5$ ------> equation B

Solve the system of equations by elimination

Multiply equation A by -4 both sides

$(-4)y=(-4)(\frac{1}{3}x+2)$

$-4y=-\frac{4}{3}x-8$ --------> equation C

Adds equation B and equation C

$y=\frac{4}{3}x-5\\-4y=-\frac{4}{3}x-8\\--------\\y-4y=-5-8\\-3y=-13\\y=\frac{13}{3}$

Find the value of x

substitute the value of y

$\frac{13}{3}=\frac{1}{3}x+2$

$\frac{1}{3}x=\frac{13}{3}-2$

Multiply by 3 both sides

$x=13-6$

$x=7$

therefore

The solution to the system of equations is the point $(7,\frac{13}{3})$

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2 years ago

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Margie needs 7 ticket to the same soccer game.

Ivahew [28]

Do 3 divided by 53 to find the cost of one ticket and then multiply the that number with 7

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2 years ago

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Eva has £6.05 in her moneybox.

PIT_PIT [208]

Answer:

11 of 20p, 22 of 10p and 33 of 5p

Step-by-step explanation:

Eva has 20p, 10p and 5p coins, total of £6.05 = 605p

Let 20p=x, 10p=y, 5p=z

Then:

20x + 10y + 5z = 605
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Rewriting the first equation considering next two:

10y + 10y + 7.5y = 605
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y= 605/27.5
y= 22
x= y/2 = 22/2 = 11
z = 3y/2 = 3*11 = 33

Answer: 11 of 20p coins, 22 of 10p coins and 33 of 5p coins

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2 years ago

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madam [21]

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