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2 years ago

Caroline, Colin & Sarah share some money.

1 answer:

8 0

Caroline, Colin & Sarah share some money.Caroline will get $\dfrac{2}{3}$ when Caroline, Colin & Sarah share some money.

<h3>What is the ratio?</h3>

The ratio defined as the sharing of the two or three things or it represent that one thing or number is how many times to the other.

One part is excluded in the problem. That part is:

"Caroline gets $\dfrac{1}{9}$ of the money."

If Caroline gets 1/9th, then remaining is:

$1-\dfrac{1}{9}=\dfrac{8}{9}$

Colin and Sarah share in ratio 3 is to 1, that means 3 + 1 = 4 parts...

8/9th in 4 parts means, each part is:

$\dfrac{\dfrac{8}{9}}{4}=\dfrac{2}{9}$

We know Colin gets "3" parts of the total, each part is (2/9)th, so 3 parts would be:

$3\times \dfrac{2}{9}=\dfrac{6}{9}=\dfrac{2}{3}$

Colin gets $\dfrac{2}{3}$ money when three of them share money.

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According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability

Andru [333]

Answer:0.001

x=the number of workers taking the bus to work

p= probability of success =(15/100) = 0.15

q= probability of failure =1- p = 0.85

P(X=6) = 10C6(0.15)^6(0.85)^4

= 0.001

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3 years ago

Read 2 more answers

Samantha sends her son, Barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed mo

MAXImum [283]

Answer:

Step-by-step explanation:

We are given fixed monthly charge = $70.

The cost of preschool per day = $45.

Number of days = d.

Total cost of d days = cost per day × number of days + fixed monthly charge.

Therefore, we get equation

880 = 45×d+70

Now, we need to solve the equation for d.

Subtracting 70 from both sides, we get

880-70 = 45d +70-70

810=45d

Dividing both sides by 45, we get

$\frac{810}{45} =\frac{45d}{45}$

18=d.

Therefore,<em> 18 days Barry attended preschool last month.</em>

<em>Therefore, correct option is D option.</em>

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2 years ago

Help BRAINLIEST........

storchak [24]

Answer:

5.52 is the length of wire

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2 years ago

What is the difference between a ray and line segment line segment is a part of a line bound by multiple points along the line;

koban [17]

A line segment is a part of a line bound by two points; a ray is a line with one endpoint that extends to infinity in one direction. is the difference between a ray and line segment.

Option: C.

<u>Step-by-step explanation:</u>

A line is a set of multiple points that extends from one point to its opposite direction without any end. Ray and Line segments are the two parts that can occur in a line.

A ray is a line with an endpoint in which the line can be extended from that point to infinity in a direction. A line segment also another part line and it consists of two points. Moreover, The line is bounded between those points.

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3 years ago

1/4(x-2) = 10 NEED DONE ASAP

kari74 [83]

Answer:

x = 42

Step-by-step explanation:

Step 1 :

Simplify —

Equation at the end of step 1 :

(— • (x - 2)) - 10 = 0

Step 2 :

Equation at the end of step 2 :

(x - 2)

——————— - 10 = 0

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

10 10 • 4

10 = —— = ——————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(x-2) - (10 • 4) x - 42

———————————————— = ——————

4 4

Equation at the end of step 3 :

x - 42

—————— = 0

Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, multiplys both sides of the equation by the denominator.

Here's how:

x-42

———— • 4 = 0 • 4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-42 = 0

Solving a Single Variable Equation :

4.2 Solve : x-42 = 0

Add 42 to both sides of the equation :

x = 42

One solution was found :

x = 42

Processing ends successfully

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3 0

2 years ago