Ask question

Ask question

All categories

3 years ago

5

Nagaraj has a party length sandwich that is 56 inches long and is to be cut into three pieces. The middle piece will be 6 inches

longer than the shortest piece, and the shortest piece will be 8 inches shorter than the longest piece. How long will the pieces be?

1 answer:

aliina [53]3 years ago

7 0

X shortest piece
X+6 middle piece
X+8 longest piece
Add them
3x+14=56
3x=42
X=42/3=14

You might be interested in

How can you subtract fractions with unlike denominators?

Rama09 [41]

Answer:

No, You can't. You have to make their denominators equal!

$-\frac{7}{10}$

Step-by-step explanation:

So first, you make their denominators equal!

$\frac{1*2}{5*2} =\frac{2}{10}=\frac{1}{5}$

Multiplying both the numerator and denominator with the same number results in the same fraction, just un-simplified

So, we input it!

$\frac{2}{10} -\frac{9}{10} = -\frac{7}{10}$

There you go!

Hope you get better at math!(gets wayyyyyyyyyyy...y more complicated later)

Hope this helps!

See Ya!

P.S. Stay Safe!

8 0

3 years ago

Read 2 more answers

Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of

drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

or

y + 5 = 3/4 x

so, the last option is correct.

3 0

2 years ago

AM is a median in △ABC (M∈ BC ). A line drawn through point M intersects AB at its midpoint P. Find areas of △APC and △PMC, if A

Snowcat [4.5K]

Answer:

The area of APC is 70m². The area of triangle PMC is 35m².

Step-by-step explanation:

Let the area of triangle ABC be x.

It is given that AM is median, it means AM divides the area of triangle in two equal parts.

$\text{Area of }\triangle ACM=\text{Area of }\triangle ABM=\frac{x}{2}$ .....(1)

The point P is the midpoint of AB, therefore the area of APC and BPC are equal.

$\text{Area of }\triangle APC=\text{Area of }\triangle BPC=\frac{x}{2}$ ......(2)

The point P is midpoint of AB therefore the line PM divide the area of triangle ABM in two equal parts. The area of triangle APM and BPM are equal.

$\text{Area of }\triangle APM=\text{Area of }\triangle BPM=\frac{x}{4}$ .....(3)

The area of triangle APM is 35m².

$\text{Area of }\triangle APM=\frac{x}{4}$

$35=\frac{x}{4}$

$x=140$

Therefore the area of triangle ABC is 140m².

Using equation (2).

$\text{Area of }\triangle APC=\frac{x}{2}$

$\text{Area of }\triangle APC=\frac{140}{2}$

$\text{Area of }\triangle APC=70$

Therefore the area of triangle APC is 70m².

Using equation (3), we can say that the area of triangle BPM is 35m² and by using equation (2), we can say that the area of triangle BPC is 70m².

$\triangle BPC=\triangle BPM+\triangle PMC$

$70=35+\triangle PMC$

$35=\triangle PMC$

Therefore the area of triangle PMC is 35m².

8 0

3 years ago

Can some one help me solve these 3 questions?

worty [1.4K]

7. A
8. Is the 1st picture
9.is the second picture

5 0

3 years ago

A square blanket has a diagonal stripe. The diagonal stripe is 66 inches long. How long is each side of the square blanket?

user100 [1]

9514 1404 393

Answer:

33√2 in ≈ 46.7 inches

Step-by-step explanation:

The diagonal of a square is √2 times the side length, so for side length s we have ...

s√2 = 66 in

s = (66 in)/√2

x = 33√2 in ≈ 46.7 in . . . . length of each side of the blanket

6 0

3 years ago