All categories

2 years ago

Select the values that make the inequality -c>-4 true.

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

6 0

Answer:

c < 4

Step-by-step explanation:

whenever you divide or multiply an inequality by a negative it is a rule that you must reverse the inequality symbol

so -c > -4 means you must divide or multiply by a negative one to get 'c' by itself; therefore it becomes c < 4

You might be interested in

The Century club runs the concession stand during football games. They sell snacks and drinks. 50 snacks and 180 drinks will sel

katrin2010 [14]

Answer:

The cost of each drink is $1.5

Step-by-step explanation:

Let us represent

The cost of snacks = x

The cost of drinks = y

50 snacks and 180 drinks will sell for $320

Hence:

50x + 180y = 320....... Equation 1

75 snacks and 100 drinks will sell for $225.

Hence:

75x + 100y = 225....... Equation 2

Combining both Equations together

50x + 180y = 320....... Equation 1

75x + 100y = 225....... Equation 2

Multiply Equation 1 by 75 and Equation 2 by 50 to eliminate x

3750x + 13500y = 24000..... Equation 3

3750x + 5000y = 11250....... Equation 4

Subtract Equation 4 from Equation 3

8500y = 12750

y = 12750/8500

y = $1.5

Therefore, the cost of each drink is $1.5

4 0

3 years ago

I need help with this math problem!! i'll give brainilist to the correct answer :)

zubka84 [21]

Answer:

Blank 1: x

Blank 2: 1.5

Step-by-step explanation:

4 0

3 years ago

Given the foci of (8,0) and the difference of the focal radii = 6, find the equation of the hyperbola

k0ka [10]

Given :

The foci of hyperbola are (8,0) and (-8,0) .

The difference of the focal radii = 6.

To Find :

The equation of the hyperbola.

Solution :

We know, distance between foci is given by :

2c = 8 - (-8)

c = 8

Also, difference between the foci or focal distance is given by :

2a = 6

a = 3

Now, we know for hyperbola :

$b^2 +a^2 = c^2\\\\b^2={c^2-a^2}\\\\b^2 = 64-9\\\\b^2 = 55$

General equation of hyperbola is :

$\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\dfrac{x^2}{9}+ \dfrac{y^2}{55}=1$

Hence, this is the required solution.

3 0

3 years ago

A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 1/3x. Find the height of

Temka [501]

Great question! I had this question in Geometry on Edmentum.

Answer: Height of cone = 3y

Step-by-step explanation:

We know that the cylinder and the cone have the same volume. The cylinder has radius x and height y. We will make use of the formulas:

Volume of cylinder = πr²h

Volume of cone = 1/3πr²h

Since the cone has radius 1/3x, we will have to make its height 3 times of y (the height of the cylinder) to make both the cylinder and the cone have the same volume.

So, the height of the cone is equal to 3y.

Hope this helps, and have a wonderful day! :D

Please mark me brainliest! I don't have trouble getting points, but I do when it comes to brainliest.

7 0

3 years ago

In the exponential growth function y = 235(1.15)^x, what is the

sweet-ann [11.9K]

Answer: Growth factor will be 0.15 and percent increase will be 15%.

Step-by-step explanation:

Since we have given that

the exponential growth function

$y=235(1.15)^x$

1) We need to find the growth factor :

As we know the formula for "Compound Interest ":

$A=P(1+\frac{r}{100})^x$

If we compare the formula with our given equation, we get

$1+\frac{r}{100}=1.15\\\\\frac{r}{100}=1.15-1\\\\\frac{r}{100}=0.15\\\\r=0.15\times 100\\\\r=15$

So, the growth factor is at the rate of 0.15.

2) Percent increase will be

$0.15=\frac{15}{100}\times 100\\\\=15\%$

Hence, growth factor will be 0.15 and percent increase will be 15%.

3 0

3 years ago