Factor a - 3/8= -2 3/4

Ivana and Gloria are sisters. Gloria is

Marina CMI [18]

Answer:

11 years old

Step-by-step explanation:

3 years ago, Gloria was 32 years old

If Ivana's age is = x

Then, 4x = 32

x = 8

3 years ago, Ivana was 8 years old

So now she is 11 years old.

4 0

3 years ago

Hello I would really appreciate if someone could help me with this math question. I’m so confused

Katarina [22]

Answer:

a. f = 17.5/c

b. 8.75 N

Step-by-step explanation:

Inverse variation means one variable is proportional to the inverse of the other. The equation for that is ...

f = k(1/c) . . . . . . force (f) is proportional to the inverse of distance (c)

We find the value of k using data given for a specific instance.

3.5 N = k(1/(5 cm)) . . . . use the given values

17.5 N·cm = k . . . . . . multiply by the denominator

Then the equation of interest is ...

f = 17.5/c . . . . . . . where c is in cm, and f is in newtons

__

Using the above equation, we find the force to be ...

f = 17.5/2 = 8.75 . . . . newtons

_____

<em>Additional comment</em>

We often look at several different kinds of proportionality:

y = kx . . . . direct
y = k(1/x) . . . . inverse
y = kx² . . . . proportional as the square
y = kx·z . . . . jointly proportional to x and z

and there are combinations of these, such as ...

y = kr²h . . . . jointly proportional to h and the square of r

You may have noticed that when x and y are inversely proportional, their product is a constant. y = k/x ⇒ xy = k

__

We have left off the units of k in the problem above. Sometimes it is a good idea to retain them, or to pay close attention to what they are. This can avoid using the wrong measures for the variables.

f = (17.5 N·cm)/(2 cm) = 8.75 N . . . . . units of cm cancel

4 0

2 years ago

What is the slope of this graph?

pishuonlain [190]

Answer:

Slope = -1

Step-by-step explanation:

Since, slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

Slope = $\frac{y_2-y_1}{x_2-x_1}$

Therefore, slope of a line passing through two points A(1, 4) and B(3, 2) will be,

Slope = $\frac{4-2}{1-3}$

= (-1)

Therefore, slope of the line is (-1).

5 0

3 years ago

It is hard to calculate the volume of a mountain but several estimates put the volume of Mount Everest at around 2,413 cubic kil

umka2103 [35]

Answer:

About 609,000 Cowboy stadiums could fit inside of Mount Everest

Step-by-step explanation:

we have

The estimate volume of Mount Everest is at around $2,413\ km^{3}$

The Dallas Cowboys Stadium has a volume of $140,000,000\ ft^{3}$

step 1

Convert ft³ to km³

we know that

1 km=3,280.84 ft

so

$140,000,000\ ft^{3}=140,000,000*(1/3,280.84)^{3}=0.003964\ km^{3}$

step 2

To find how many Cowboy stadiums could fit inside of Mount Everest, divide the volume of Mount Everest by the volume of the Dallas Cowboys Stadium

$2,413/0.003964=608,729$

Round to the nearest Thousands

$608,729=609,000$

The volume of Mount Everest is about 609,000 times greater than the volume of the Dallas Cowboys Stadium

4 0

3 years ago

Evaluate - 2c + d for c = -9 and d = 4. <br><br>Please help.

Svet_ta [14]

Answer:

-14

Step-by-step explanation:

2c + d

We are given the values of c and d:

c = -9

d = 4

We substitute in these values

2(-9) + 4 = ?

2 times -9 is -18

-18 + 4 = -14

2c + d = -14

3 0

3 years ago

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