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Reptile [31]
3 years ago
13

Charles is planning his son’s birthday party and has a budget of $100. The Go Cart Corral charges $8 per child. How many childre

n can he have at the party and stay within the budget?
Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0
<h3>12 children</h3>

because

12 × 8 = 96

hope that helps :)

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What is the numerator of the simplified sum?
sashaice [31]

Answer:

4x + 6

Step-by-step explanation:

\frac{x}{x² + 3x + 2} + \frac{3}{x + 1}

To determine what the numerator would be, after simplifying both fractions, take the following steps:

Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.

Thus,

x² + 2x + x + 2

(x² + 2x) + (x + 2)

x(x + 2) +1(x + 2)

(x + 1)(x + 2)

We would now have the following as our new fractions to add together and simplify:

\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}

Step 2: find the highest common factor of the denominator of both fractions.

Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)

Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.

Thus,

\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}

\frac{x + 3(x + 2)}{(x + 1)(x + 2)}

\frac{x + 3x + 6)}{(x + 1)(x + 2)}

\frac{4x + 6)}{(x + 1)(x + 2)}

Therefore, the numerator of the simplified form sum of both fractions = 4x + 6

8 0
3 years ago
Rewrite (21+31).4 using the disbributive property of multiplication over addition
Mamont248 [21]

Answer: evaluate it is 52

Step-by-step explanation:

7 0
3 years ago
Please help!! <br>circles combos are too hard​
malfutka [58]

Answer:

56 + 53pi

Step-by-step explanation:

<u><em>Area of small circles:</em></u>

diameter of small circle: 4cm

forumla to find area of circle: A = pir^2

r is radius = half of diameter -> d/2 = 4 / 2 = 2cm

A = pi (2cm)^2

A = pi (4cm)

A = 4pi

<u><em>Area of large circle:</em></u>

diameter of small circle: 4cm

forumla to find area of circle: A = pir^2

r is radius = half of diameter -> d/2 = 14 / 2 = 7cm

A = pi (7cm)^2

A = pi (49cm)

A = 49pi

<u><em>Area of rectangle:</em></u>

Area = width x length

Area = 14cm x 4cm

Area = 56cm

<u><em>Add all three areas:</em></u>

Area of rectangle + large circle + small circle

56cm + 49pi + 4pi = 56cm + 53pi

7 0
2 years ago
There are 48 students in the 6th-grade band. If this represents 30% of the students in 6th grade, how many students are in the 6
Artemon [7]

Answer:

160

Step-by-step explanation:

had the question before

4 0
2 years ago
Read 2 more answers
what’s the slope and y intercept of the loire that is perpendicular to y=-2x-5 and passes through the point (-3,-6)
Doss [256]

Answer:

slope: ½

y-intercept: -4½

Step-by-step explanation:

Slope: negative reciprocal of -2

-1/-2 = 1/2

y = ½x + c

-6 = ½(-3) + c

-6 = -3/2 + c

c = -6 + 3/2

c = -9/2 = -4½

8 0
3 years ago
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