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3 years ago

Rewrite without absolute value for the given condition: y=|x−3|+|x+2|−|x−5|, if 3 < x < 5

Mathematics

1 answer:

natka813 [3]3 years ago

8 0

Answer:

x>3 but x<5 so x=4

4-3=1

4+2=6

4-5=-1

but |-1|=1

1+6-1=6

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If 3 times a number, n, is increased by 10, the result is equal to 8 times the number. Which could be the first two steps to fin

NNADVOKAT [17]

First set up an equation in n:-

3n + 10 = 8n

add -3n to both sides;-

10 = 5n

7 0

4 years ago

Through: (-3, 3) and (0, -1)

Goshia [24]

Answer:

m=3/-4

Step-by-step explanation:

m= x(2)-x(1) / y(2)-y(1)=(0--3)/ (-1-3)=3/-4

7 0

3 years ago

Can someone help me with these problems? The majority of them I have answers but I don't understand them. Thanks!

Oliga [24]

Answer:

1. $\approx 10 \ cm^2$

2. $304.5 \ cm^2$

3. 1:3

4. 3:4

5. 10,000 pounds

6. 36 in

Step-by-step explanation:

1. What is the area of the triangle with a base of 5 1/2 cm and a height of 3 1/2 cm?

The area of the triangle can be calculated using formula

$A=\dfrac{1}{2}\times \text{Base}\times \text{Height}$

Given:

Base $=5\dfrac{1}{2}=\dfrac{11}{2}\ cm$

Height $=3\dfrac{1}{2}=\dfrac{7}{2}\ cm$

Hence,

$A=\dfrac{1}{2}\cdot \dfrac{11}{2}\cdot \dfrac{7}{2}\\ \\=\dfrac{77}{8}\\ \\=9.625 \ cm^2\approx 10\ cm^2$

2. What is the area of a parallelogram with a base of 14.5 m and a height of 21 m?

The area of the parallelogram can be calculated using formula

$A=\times \text{Base}\times \text{Height}$

Given:

Base $=14.5\ cm$

Height $=21\ cm$

Hence,

$A=14.5\cdot 21\\ \\=304.5 \ cm^2$

3. The cafeteria sold 200 grilled cheese sandwiches, 100 tacos, and 150 grilled chicken salads. What is the ratio in simplest terms of grilled chicken salads sold to the total number of lunches sold?

Cafeteria sold:

200 grilled cheese sandwiches;
100 tacos;
150 grilled chicken salads;
200 + 100 + 150 = 450 lunches in total.

The ratio of grilled chicken salads sold to the total number of lunches sold is

$150:450$

In simpliest form

$150:450=(150\cdot 1): (150\cdot 3)=1:3$

4. What is the ratio of odd to even digits in the following number: 7,208,631?

There are

even digits 2, 0, 8, 6 - 4 digits;
odd digits 7, 3, 1 - 3 digits.

The ratio of odd to even digits is

$\text{Number of odd digits}:\text{Number of even digits}=3:4$

5. 1 ton = 2,000 pounds

5 tons $=5 \ tons \cdot 2,000\ \dfrac{pounds}{ton}=10,000\ pounds$

6. 1 feet = 12 inches

$3\ ft=3\ ft\cdot 12\ \dfrac{in}{ft}=36\ in$

3 0

3 years ago

CAN SOMEBODY HELP ME PLEASE AND THANK YOU!

Dafna1 [17]

Hello! To do this, first find the volumes of the tanks (how much water they can hold), then how much water is in tank P, and finally, how full tank Q would be.

----

To find the volume of a rectangular prism, you multiply the length, width, and height.

Tank P: 15 * 12 * 8 = 1440 cm³

Tank Q: 10 * 20 * 6 = 1200 cm³

Now, we know that tank P is half full. Therefore, the volume of the water must be half that of the whole volume of tank P. We know the volume of Tank P is 1440 cm³, so just divide by 2.

1440/2 = 720 cm³

Therefore, there is 720 cm³ amount of water in Tank P. Finally, find how much of Tank Q this amount of water would occupy.

Set up a fraction to do this:

720 / 1200 = 0.6 = 3/5

----

Therefore, 3/5 of Tank Q is filled.

Hope this helps!

4 0

4 years ago

Can someone help me please

Sladkaya [172]

Here are you

Have a good day

3 0

3 years ago