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3 years ago

The numbers -1/5 and -5 are 'negative reciprocals.' True or False?

Mathematics

1 answer:

Maslowich3 years ago

7 0

Answer:

False

Step-by-step explanation:

The negative reciprocal of -1/5 would be 5, and the negative reciprocal of -5 is 1/5. A way to double-check is all negative reciprocals add to -1.

-1/5 + -5= -5 1/5

Hope this helps and you understand negative reciprocals more for future problems ahead.

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The high school leadership team is having a car wash. They charge $5.50 for large cars and $4.00 for small cars . They had a suc

11Alexandr11 [23.1K]

Answer: 56 large cars and 86 small cars.

Step-by-step explanation:

Let's call:

$l$ : the number of large cars.

$s$ : the number of small cars.

Then, you can set up the following system of equations:

$\left \{ {{l+s=142} \atop {5.50l+4.0s=652.50}} \right.$

You can use the Elimination Method:

- Multiply the first equation by -4.0

- Add both equations.

- Solve for l.

$\left \{ {{-4.0l-4.0s=-568} \atop {5.50l+4.0s=652.50}} \right.\\--------\\1.5l=84.5$

$l$ ≈ $56$

Substitute $l=56$ into one of the original equations and solve for s:

$56+s=142\\s=142-56\\s=86$

3 0

3 years ago

Write a linear function rule for the data in the table. x 0 1 2 3 4 y 3 1 –1 –3 –5

Dima020 [189]

Answer:

f(x) = –2x + 3

Step-by-step explanation:

7 0

3 years ago

3n+75=50+2n please help righting more

alexandr1967 [171]

Answer: n = -25

Step-by-step explanation:

you would need to get N by itself so you would subtract 2n from both sides and that would bring you to n+75=50 and then you would need to subtract 75 from both sides and that leads you to n=-25

5 0

3 years ago

Three paths intersect to form a right triangle as shown here. The path from the picnic area to the fountain is 500 yards. The pa

nata0808 [166]

Answer:

400 yd

Step-by-step explanation:

It's a 3 - 4 - 5 triangle

If the hypotenuse is a multiple of 5 and another length is the same multiple of 3 or 4, the one left over will be the same multiple of the one that's left.

5 0

3 years ago

Is (1, 4) a solution to this system of equations? 8x + 3y = 20 x + 4y = 17

vampirchik [111]

Answer:

Yes.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Systems of Equations

Step-by-step explanation:

Step 1: Define

Identify

8x + 3y = 20

x + 4y = 17

(1, 4)

Step 2: Check

Plug and verify the coordinates is a solution.

Substitute in point [1st Equation]: 8(1) + 3(4) = 20
Multiply: 8 + 12 = 20
Add: 20 = 20 $\checkmark$
Substitute in point [2nd Equation]: 1 + 4(4) = 17
Multiply: 1 + 16 = 17
Add: 17 = 17 $\checkmark$

∴ Since both equations work out, (1, 4) is a solution to the systems of equations.

6 0

3 years ago