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xxMikexx [17]
2 years ago
15

I need help, please, I'm willing to give 24 points!

Mathematics
1 answer:
Margaret [11]2 years ago
4 0
(1) 2 of one step equations

x - 23 = 8
x - 23 + 23 = 8 + 23
x = 31

n + 2 = 9
n + 2 - 2 = 9 - 2
n = 7

(2) 2 equations with fractions

3/4 (x + 3) = 9
4 [ 3/4 (x + 3) ] = 4[9]
3 (x + 3) = 36
3x + 9 - 9 = 36 - 9
3x/3 = 27/3

1/3 x 3/4
cross multiply
so 3/12 and simplify which makes it
1/4

(3) distributive property

3(2 + 4) = (3 • 2) + (3 • 4)
3(6) = 6 + 12
18 = 18


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Determine if events A and B are mutually exclusive.
gladu [14]

Answer:

A) Not mutually exclusive

Step-by-step explanation:

Given

P(A) = \frac{1}{4}

P(B) = \frac{3}{5}

P(A\ or\ B) = \frac{7}{10}

Required

Determine if they are mutually exclusive or not

Mutually exclusive are defined by:

P(A\ or\ B) = P(A) + P(B)

So, we have:

P(A\ or\ B) = \frac{1}{4} + \frac{3}{5}

Take LCM

P(A\ or\ B) = \frac{5+12}{20}

P(A\ or\ B) = \frac{17}{20}

By comparing:

P(A\ or\ B) = \frac{17}{20} ---- Calculated

P(A\ or\ B) = \frac{7}{10} ---- Given

We can conclude that A and B are not mutually exclusive because:

\frac{17}{20} \ne \frac{7}{10}

6 0
3 years ago
What is 0.04 km, 420 cm, 4,600 mm, and 4.3 meters in order from least to greatest
Paul [167]

Answer:

420 cm, 4.3 meters, 4600 mm, 0.04 km

Step-by-step explanation:

We can solve this by converting each to the same unit. I will be using meters.

0.04 km

1 km = 1000 meters

1000 meters / 1 km = 1

multiply 0.04 km by 1 = 1000 meters / 1 km , keeping the km at the bottom to cross out

0.04 km * 1000 meters / 1 km = 40 meters

420 cm

100 cm = 1 meter

1 meter / 100 cm = 1

multiply 420 cm by this, keeping cm at the bottom so it crosses out

420 cm * 1 meter / 100 cm = 4.2 meters

4600 mm

1000 mm = 1 meter

1 meter / 1000 mm = 1

4600 mm * 1 meter / 1000 mm = 4.6 meters

Therefore, our order is

420 cm, 4.3 meters, 4600 mm, 0.04 km

6 0
2 years ago
James has $325 in his savings account. He spends $28 a week. How many, w, weeks until he has $157 left in his account?​
otez555 [7]

Answer:

6 weeks

Step-by-step explanation:

Total savings= $325

For every week, his total savings decrease by $28.

Let's form an expression for the amount of money left in his account after w weeks.

325 -28w= 157

28w= 325 -157

28w= 168

<em>Divide by 28 on both sides:</em>

w= 168 ÷28

w= 6

Thus, there are 6 weeks until he has $157.

3 0
2 years ago
Round 85714.285714285714
djverab [1.8K]

Answer:

to the nearest what

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Which point lies on a circle with a radius of 5 units and center at P(6, 1)?
guapka [62]

Answer:

B.

R (2,4)

soln

center(h,k)=(6,1)

radius (r)=5units

so

eqn of circle is (x-6)^2+(y-1)^2=5^2

2 2

or, 25=x +y -12x-2y+36+1 now , only the given point (6,1)satisfies the eqn so this point lies on circle

3 0
3 years ago
Read 2 more answers
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