3 years ago

Translate the sentence into an equation. Four times the difference of a number and 5 is 24.

1 answer:

3 0

$4\ times\to4\times\\difference\ of\ a\ number\ "c"\ and\ 5\to c-5\\is\ equal\ 24\to=24\\\\4\times(c-5)=24\\\\Answer:\boxed{a.}$

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Two events, A and B, are disjoint. What is the probability that both A and B will occur at the same time?

solniwko [45]

ANSWER

$P(A\cap B)=0$

EXPLANATION

If the two events are disjoint, then they are mutually exclusive.

This means that their intersection is zero.

Therefore

$n(A\cap B)=0$

This implies that,

$P(A\cap B)= \frac{n(A\cap B)}{n(U)}$

$P(A\cap B)= \frac{0}{n(U)} = 0$

The probability that the two events will occur together is 0, which means an impossibility.

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3 years ago

Patrica has $425.82 in her checking account. How much does she have in her account after she makes a deposit of $120.75 and a wi

aliya0001 [1]

Answer:

$360.67

Step-by-step explanation:

You would take $425.82 and add her deposit of $120.75 to get $546.57. Next you would the the $546.57 and subtract her withdrawl of $185.90 which will give you $360.67.

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3 years ago

Florence is itemizing deductions on her federal income tax return. Her AGI was $197,130 last year, and she contributed $99,310 t

zhannawk [14.2K]

Adjusted gross income (AGI) is a person's total gross income minus specific deductions. So, Florence can deduct an amount of: .5 or 50% of 197130 = 98,565 is the maximum deduction which is less that actual amount given for the charitable contributions.

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3 years ago

Graph the line that passes through the points (-4, -1) and (-4, 2) and determine the equation of the line.

My name is Ann [436]

Answer:

X = -4

Step-by-step explanation:

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2 years ago

A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?

aliina [53]

Answer:

41 units

Step-by-step explanation:

Rectangles have right angles, so we can use Pythagorean theorem to find the diagonal.

c² = a² + b²

c² = 9² + 40²

c² = 81 + 1600

c² = 1681

c = 41

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3 years ago