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Dmitrij [34]
3 years ago
7

Which equation uses the distributive property to show 3 × 47 = 141? A) 3 + (40 × 7) = 141 B) 3 × (40 × 7) = 141 C) 3 + (40 + 7)

= 141 D) 3 × (40 + 7) = 141
Mathematics
2 answers:
navik [9.2K]3 years ago
6 0

Answer:

D) 3 × (40 + 7) = 141

Step-by-step explanation:

(3 × 40 = 120) + (3 × 7 = 21) = 141

Softa [21]3 years ago
5 0

Answer:

D)

Step-by-step explanation:

D) 3 × (40 + 7) = 141

3 × 47 = 141

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One number is larger than another by 9. If the greater number is increased by 10, and the lesser number is tripled, the sum of t
kkurt [141]

Answer:

The larger number is -6, the smaller number is -15

Step-by-step explanation:

We have two numbers, a and b.

We know that one number is larger than another by 9.

Then we can write:

a = b + 9

then a is larger than b by 9 units.

If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:

(a + 10) + 3*b = -41

So we got two equations:

a = b + 9

(a + 10) + 3*b = -41

This is a system of equations.

One way to solve this is first isolate one variable in one of the two equations:

But we can see that the variable "a" is already isolated in the first equation, so we have:

a = b + 9

now we can replace that in the other equation:

(a + 10) + 3*b = -41

(b + 9) + 10 + 3*b = -41

now we can solve this for b.

9 + b + 10 + 3b = -41

(9 + 10) + (3b + b) = -41

19 + 4b = -41

4b = -41 -19 = -60

b = -60/4 = -15

b = -15

then:

a = b + 9

a = -15 + 9 = -6

a = -6

7 0
2 years ago
A woman is randomly selected from the 18-24 age group. For women of this group, systolic blood pressures (in mm Hg) are normally
dybincka [34]

Answer:

0.0274

Step-by-step explanation:

The mean is \mu =114.8 and the standard deviation is \sigma =13.1.

Calculate

Z=\dfrac{X-\mu}{\sigma}

for X=140:

Z=\dfrac{140-114.8}{13.1}\approx 1.9237.

If X\sim N(114.8,\ 13.1), then Z\sim N(0,1)

and

Pr(X>140)=Pr(Z>1.9237).

Use table for normal distribution probabilities to get that

Pr(Z>1.9237)=1-Pr(Z\le 1.9237)=1-0.9726=0.0274.

7 0
3 years ago
Read 2 more answers
Please help me i need it
kakasveta [241]
15 is the answer because 8-5 is 3 and 3 and 4 is 12 so 12 plus 3 is 15
3 0
2 years ago
Read 2 more answers
YALL PLEASE HELP MY BIRTHDAY IS CANCELED IF I DONT GET THIS FORM DONE!!!
Zepler [3.9K]

Answer:

It is option 1

Step-by-step explanation:

domain is x and the two points range from -1 to 3. The picture quality wasn't that good so if I miss read sry. haha

3 0
3 years ago
What is the equation of a line passing through 1,2 and -2,5
AleksAgata [21]

Answer:

y=-1x+3

Step-by-step explanation:

2-5/1+2

-3/3

-1

y=-1x+b

2=-1+b

b=3

y=-1x+3

3 0
3 years ago
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