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3 years ago

Select the correct answer.

Mathematics

2 answers:

lakkis [162]3 years ago

8 0

Answer:

6x + 4y ≤ 50

x + y ≥ 10

Step-by-step explanation:

$6 is the cost of stuffed animals $4 is the cost of toy trucks and the her maximum budget is $50 it would be 6x+4y is less then or equal to 50 and there is AT LEAST 10 people so the amounts which are x and y would be equal to or greater than 10.

olga2289 [7]3 years ago

8 0

Answer:

$6x+4y\leq 50$

$x+y\geq 10$

Step-by-step explanation:

$x$ represents the number of stuffed animals.

$y$ represents the number of toy trucks.

Now, according to the problem, she found stuffed animals for $6.00 each and toy trucks for $4.00 each. Also, Laura has a restricted budget of $50. All these can be expressde as

$6x+4y\leq 50$

Also, the problem states that Laura wants to provide one partu favor per person to at least 10 people, that means

$x+y\geq 10$ , because "at least" represents a minimum value, which is expressed with $\geq$ .

Therefore, the inequality system that models this situation is

$6x+4y\leq 50$

$x+y\geq 10$

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Find the equation of the line through point (1,−5) and perpendicular to y=1/8x+2. Use a forward slash (i.e. "/") for fractions (

Masteriza [31]

Answer:

$y = -8x + 3$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Perpendicular lines:

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to y=1/8x+2

This line has slope $\frac{1}{8}$

So, for the line we want to find the equation, we have that:

$\frac{m}{8} = -1$

$m = -8$

$y = -8x + b$

Find the equation of the line through point (1,−5)

This means that when $x = 1, y = -5$ . We use this to find b. So:

$y = -8x + b$

$-5 = -8 + b$

$b = 3$

The equation of the line is:

$y = -8x + 3$

7 0

3 years ago

WILL GIVE BRAINLST <br><br> HAVE A GOOD DAY

Sedbober [7]

1st one 17/100 2nd one 0.25

Because 0.17 would be like 17% out of 100% so the fraction simplified is 17/100

2. Since the area of a square is length×length
But according to the question we are asked to find the length and the area is given so we will have to solve this
L×L= area
L^2=0.25
Square root both sides
L=√0.25
L=0.5
Therefore the length of the square is 0.5

6 0

3 years ago

The table gives estimates of the world population, in millions, from 1750 to 2000. (Round your answers to the nearest million.)

BaLLatris [955]

Answer:

A.) 1508 ; 1870

B.) 2083

C.) 3972

Step-by-step explanation:

General form of an exponential model :

A = A0e^rt

A0 = initial population

A = final population

r = growth rate ; t = time

Using the year 1750 and 1800

Time, t = 1800 - 1750 = 50 years

Initial population = 790

Final population = 980

Let's obtain the growth rate :

980 = 790e^50r

980/790 = e^50r

Take the In of both sides

In(980/790) = 50r

0.2155196 = 50r

r = 0.2155196/50

r = 0.0043103

Using this rate, let predict the population in 1900

t = 1900 - 1750 = 150 years

A = 790e^150*0.0043103

A = 790e^0.6465588

A = 1508.0788 ; 1508 million people

In 1950;

t = 1950 - 1750 = 200

A = 790e^200*0.0043103

A = 790e^0.86206

A = 1870.7467 ; 1870 million people

2.)

Exponential model. For 1800 and 1850

Initial, 1800 = 980

Final, 1850 = 1260

t = 1850 - 1800 = 50

Using the exponential format ; we can obtain the rate :

1260 = 980e^50r

1260/980 = e^50r

Take the In of both sides

In(1260/980) = 50r

0.2513144 = 50r

r = 0.2513144/50

r = 0.0050262

Using the model ; The predicted population in 1950;

In 1950;

t = 1950 - 1800 = 150

A = 980e^150*0.0050262

A = 980e^0.7539432

A = 2082.8571 ; 2083 million people

3.)

1900 1650

1950 2560

t = 1900 - 1950 = 50

Using the exponential format ; we can obtain the rate :

2560 = 1650e^50r

2560/1650 = e^50r

Take the In of both sides

In(2560/1650) = 50r

0.4392319 = 50r

r = 0.4392319/50

r = 0.0087846

Using the model ; The predicted population in 2000;

In 2000;

t = 2000 - 1900 = 100

A = 1650e^100*0.0087846

A = 1650e^0.8784639

A = 3971.8787 ; 3972 million people

3 0

3 years ago

A gumball is approximately spherical and has a diameter of 1 inch. What is the approximate volume of the gumball? A gumball is a

KatRina [158]

The approximate volume of the spherical gumball is: C. 0.5236 in.³.

<h3>How to Determine the Volume of a Spherical Shape?</h3>

If a shape is spherical, it means it has a shape of a sphere. To determine the volume of the spherical shape, we would use the formula for the volume of a sphere, which is given as:

Volume of a sphere = 4/3 × π × r³, where r (radius of the sphere) is half of the diameter of the sphere.

Given the following parameters of the sphere as:

Diameter of sphere = 1 inch.

Radius (r) = 1/2(1) = 0.5 inch.

π = 3.14

To find the approximate volume of the spherical gumball, substitute the value of r into 4/3 × π × r³:

Volume of the spherical gumball = 4/3 × 3.14 × 0.5³

Volume of the spherical gumball = 4/3 × 3.14 × 0.125

Volume of the spherical gumball = (4 × 3.14 × 0.125)/3

Volume of the spherical gumball = (1.57)/3

Volume of the spherical gumball = 0.523 in.³

Therefore, we can conclude that the approximate volume of the spherical gumball is: C. 0.5236 in.³.

Learn more about volume of sphere on:

brainly.com/question/22807400

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5 0

1 year ago

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julsineya [31]

Answer:

The answer is

Step-by-step explanation:

C................

7 0

2 years ago