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3 years ago

The sum of a negative number, q, and a positive integer, n, is negative. What do you know about q and n?

1 answer:

3 0

| q | > n

1. q + n < 0
2. q + n - n < 0 - n
3. q < -n, where q is negative, and n is positive. Therefore, | q | > n.

Well, think about it. If q + n is less than zero (negative), what kind of relationship can you assume about q and n?

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You sell your bicycle to your friend for 65$ your friend gives you x five dollar bills and y ten dollar bills. There are a total

jeka94

Answer:

There are $5$ five dollar bills and $4$ ten dollar bills.

Step-by-step explanation:

Given:

Selling price of bicycle $=\$65$ .

The friend gave $x$ five dollar bills and $y$ ten dollar bills.

Total number of bills $=9$ .

To find: Number of five dollar bills and ten dollar bills the friend gave.

Solution:

The friend gave $x$ five dollar bills and $y$ ten dollar bills and the friend gave $9$ bills in all.

So, $x+y=9$ .

$\Rightarrow x=9-y ...(i)$

Selling price of bicycle $=\$65$ .

So, $5x+10y=65...(ii)$

Putting the value of $x$ from equation $(i)$ in equation $(ii)$ .

$\Rightarrow 5(9-y)+10y=65$

$\Rightarrow 45-5y+10y=65$

$\Rightarrow 45+5y=65$

$\Rightarrow 5y=65-45$

$\Rightarrow 5y=20$

$\Rightarrow y=\frac{20}{5}$

$\Rightarrow y=4$

Now, putting the value of $y$ in equation $(i)$ .

$\Rightarrow x=9-4$

$\Rightarrow x=5$

Hence, there are $5$ five dollar bills and $4$ ten dollar bills.

5 0

3 years ago

An architect is designing a house in which a 104 square foot room and a 130 square foot room share a wall what is the greatest p

Alla [95]

Both rooms share a common side whose dimension is unknown. Call it x.

Then, the area of both squares have x as common factor.

So, x is the greatest common factor of 104 and 130.

You should know how to calculate the greatest common factor of two integers.

Just find the prime factors and choose the common factors raised to the lowest exponent.

104 = (2^3) (13)

130 = (2) (5)(13)

=> the greatest common factor is 2 * 13 = 26, and that is the greatest possible integer length of the shared wall.

Answer: 26

8 0

2 years ago

A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y equals = 100 100 minus −x squa

masha68 [24]

Answer:

Step-by-step explanation:

Given that a rectangle is constructed with its base on the x axis and two of its vertices on the parabola

$y=100-x^2$

This parabola has vertex at (0,100) and symmetrical about y axis.

Any general point above x axis can be written as (a,b) (-a,b) since symmetrical about yaxis.

Hence coordinates of any rectangle are

$(a,0) (-a,0), (a, 100-a^2), (-a, 100-a^2)$

Length of rectangle = 2a and width = $100-a^2$

Area of rectangle = lw = $2a(100-a^2)=200a-400a^3$

To find max area, use derivative test.

$A' = 200-800a^2\\A"=-1600a$

Hence maxima when first derivative =0

i.e. when a =2

Thus we find dimensions of the rectangle are l =4 and w = 96

Maximum area = $4(96) = 384$

5 0

3 years ago

If one of the angels of a triangle is 127 it’s called

KonstantinChe [14]

Answer:

obtuse triangle

Step-by-step explanation:

only one angle in a triangle has to be over 90 degrees for it to be and obtuse triangle

hoped this helped

7 0

3 years ago

An item is regularly priced at $80. Juan bought It at a discount of 20% off the regular price. How much did Juan pay?

Gnesinka [82]

Hello there! So, the item has a 20% discount, but Juan still had to pay 80% for the item. To find the amount he paid, all you have to do is multiply the price by the percentage. We multiply by 80%, because he still had to pay the portion of the price. 80 * 80% (0.8) is 64. The. Juan paid $64.

3 0

3 years ago