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3 years ago

Which statement is true for the vertical number line?

Mathematics

1 answer:

Xelga [282]3 years ago

7 0

Answer:

a is correct

Step-by-step explanation:

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To mail a package, the rate is x cents for the first pound and y cents for each additional pound, where x>y. Two packages wei

horrorfan [7]

Answer:

Option A) Combined, with a saving of x-y cents

Step-by-step explanation:

We are given the following in the question:

The rate to mail a package is x cents for first pound and y cents for each additional pound.

$x>y$

Weights of packages =

3 pounds and 5 pounds

Cost of combined package:

Total weight = 8 pounds

$C\text{(combined)} = x + 7y$

Cost of sending separately:

$C\text{(separated)} = (x + 2y) + (x + 4y) = 2x + 6y$

Difference between cost of sending the packages separately and combined

$C\text{(separated)}-C\text{(combined)} \\=2x + 6y-(x+7y)\\=(x-y)\text{ cents}$

Thus, sending the packages combined is a cheaper method with a saving of (x-y) cents

Thus, the correct answer is:

Option A) Combined, with a saving of (x-y) cents

4 0

4 years ago

Can someone plz help me with this one problem!!!

barxatty [35]

Answer:

The answer is no.

............

6 0

3 years ago

Can you help me please.

postnew [5]

Answer:

Enzo wins 5 tickets from every game

Beatrix wins 11 tickets

Both won same no of tickets

So min no of games Enzo have played = 5(11)=55

3 0

3 years ago

Write the equation of a line that is perpendicular to y=2/7x +9 and that passes through the point (4,-6).

Allisa [31]

Answer:

$y=-\frac{7}{2}x+8$

Step-by-step explanation:

Given the equation

$y\:=\:\frac{2}{7}x+9$

comparing the equation with the slope-intercept form

$y =mx+b$

Here,

m is the slope

y is the intercept

so the slope of the line is 2/7

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

the slope of the perpendicular line will be: -7/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:

$y-y_1=m\left(x-x_1\right)$

$y-\left(-6\right)=\frac{-7}{2}\left(x-4\right)$

$y+6=\frac{-7}{2}\left(x-4\right)$

$y+6-6=\frac{-7}{2}\left(x-4\right)-6$

$y=-\frac{7}{2}x+8$

3 0

3 years ago

Evaluate M^2 /p^2 for M = 10, N =-5p and P = -2

kondaur [170]

<u>Answer: </u>

The solution of $\bold{\frac{M^{2}}{P^{2}}}$ for M = 10, N = -5P and P = -2 is 25

<u>Solution: </u>

From question, given that the value of M is 10 and N is -5p and P is -2

We have to evaluate the value of $\frac{M^{2}}{P^{2}}$ ,

By substituting the values of M and N, we get

$\frac{M^{2}}{P^{2}} = \frac{10^{2}}{(-2)^{2}}$

Expanding $\bold{10^{2}}$ :

Here 10 is the base value and 2 is the exponent value. So the base term 10 is multiplied by itself two times.

$10^{2} = 10 \times 10 = 100$

Similarly expanding $\bold{(-2)^{2}}$ :

Here -2 is the base term and 2 is the exponent value. So the base term -2 is multiplied by itself two times.

$(-2)^{2} = -2 \times -2 = 4$

So the equation $\frac{M^{2}}{P^{2}} = \frac{10^{2}}{(-2)^{2}}$ becomes,

$\frac{M^{2}}{P^{2}} = \frac{100}{4}$

By dividing 100 by 4 , we get the result as 25

Hence the solution of $\bold{\frac{M^{2}}{P^{2}}}$ when M = 10 and P = -2 is 25

6 0

4 years ago