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3 years ago

9

Brita has a monthly budget of x dollars. She spends $1,425 on her mortgage every month. One-third of her remaining budget is spe

nt on recreational activities. Which equation below can be used to determine the amount, in dollars, spent on recreational activities?

1 answer:

Morgarella [4.7K]3 years ago

7 0

Answer:

yikhjgmh

Step-by-step explanation:

86686

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In the sophomore class at Dixon high school the number of students taking French is 2/3 of the number taking Spanish. How many s

Alex777 [14]

F=2/3 of S
F+S=310

2/3 S + S = 310

(2S + 3S)/3=310
S=[(310)(3)]/5
S=186 students taking Spanish

F=2/3 of 186
F=124 students taking French

3 0

3 years ago

A metal hollow bar whose cross section and dimension are shown below weighs 8x10^3 kg/m^3 and measure 2m in length ..determine t

devlian [24]

1) We calculate the volume of a metal bar (without the hole).

volume=area of hexagon x length
area of hexagon=(3√3 Side²)/2=(3√3(60 cm)²) / 2=9353.07 cm²
9353.07 cm²=9353.07 cm²(1 m² / 10000 cm²)=0.935 m²

Volume=(0.935 m²)(2 m)=1.871 m³

2) we calculate the volume of the parallelepiped

Volume of a parallelepiped= area of the section x length
area of the section=side²=(40 cm)²=1600 cm²
1600 cm²=(1600 cm²)(1 m² / 10000 cm²=0.16 m²
Volume of a parallelepiped=(0.16 m²)(2 m)=0.32 m³

3) we calculate the volume of a metal hollow bar:
volume of a metal hollow bar=volume of a metal bar - volume of a parallelepiped

Volume of a metal hollow bar=1.871 m³ - 0.32 m³=1.551 m³

4) we calculate the mass of the metal bar

density=mass/ volume ⇒ mass=density *volume

Data:
density=8.10³ kg/m³
volume=1.551 m³

mass=(8x10³ Kg/m³ )12. * (1.551 m³)=12.408x10³ Kg

answer: The mas of the metal bar is 12.408x10³ kg or 12408 kg

4 0

3 years ago

A number cube is labeled 1 to 6. Richard Rolle the number Cube 500 times and record the results. About how many times, Richard e

Nataly [62]

Answer:

250 times

Step-by-step explanation: This is because a number die is random and if it were based on even and odd, the chances would be 50/50

4 0

3 years ago

Jeffrey is a kickboxing instructor who will be teaching classes at a local gym. To get certified

tatyana61 [14]

If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.

Step-by-step explanation:

Amount spent on certification = $200

Base salary = $50

Payment per class = $3

Let, x be the number of classes.

J(x) = 50+3x

He needs to earn $200 dollars in first month, therefore,

50+3x=200

$3x=200-50\\3x=150$

Dividing both sides by 3

$\frac{3x}{3}=\frac{150}{3}\\x=50$

If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.

Keywords: function, linear equation

Learn more about functions at:

#LearnwithBrainly

7 0

3 years ago

PLEASE HELP ME!!!!!!!!!!!!!!!!!!! ASAP :)

Mashcka [7]

Answer:

c) The growth factor per days is 1.08

e) The growth factor per hour is 1.08^{1/24}

Step-by-step explanation:

Given the following data;

P(d) = 10 * 1.08^{d} in thousands.

a. To find the number of insects on day 1;

Day, d = 1

$P(d) = 10 * 1.08^{d}$ ......equation 1

Substituting into the formula, we have;

$P(1) = 10 * 1.08^{1}$

$P(1) = 10 * 1.08$

$P(1) = 10.08$

Therefore, option (a) and (b) are incorrect.

c. To find the growth factor per day;

An exponential function is given by the formula;

$y = mg^{x}$ .....equation 2

Where;

g is the growth factor of a population.

Comparing eqn 2 with eqn 1;

g = 1.08

Therefore, option (c) is correct.

e. To find growth factor per hour;

From equation 1 above;

$P(1) = 10 * 1.08^{\frac {1}{2}}$

Therefore, option e is correct.

4 0

3 years ago