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Alex787 [66]
3 years ago
14

the sum of 3 decimal numbers is 6. Exactly one of the numbers is less than 1 what could those numbers be.

Mathematics
1 answer:
kati45 [8]3 years ago
3 0
There are infinitely many solutions to this problem (which is why it asks what could those numbers be), so you just have to make one up!

Start with the first sentence.
x + y + z = 6.0

Now one of those numbers has to be less than 1. I'll choose x. And I'll choose a random number, say, 0.7.

0.7 + y + z = 6.0

Now I'll subtract 0.7 from both sides to see what y and z have to add up to.

0.7 + y + z - 0.7 = 6.0 - 0.7
y + z = 5.3

Now I'll choose a random number for y that's less than 5.3.

2.6 + z = 5.3

And subtract 2.6 from both sides to find z.

2.6 + z - 2.6 = 5.3 - 2.6
z = 2.7

And now we have our numbers!
x = <u>0.7</u>
y = <u>2.6</u>
z = <u>2.7</u>
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Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was h
lukranit [14]

Answer:

$22.5

Step-by-step explanation:

2.5% of 900

0.025(900)= 22.5

7 0
3 years ago
Is 36, 12, 4, 4/3, 4/9 a geometric sequence?
Mars2501 [29]

Answer:

Step-by-step explanation:

36 : 3 = 12

12 : 3 = 4

...

4/3 : 3 = 4/

6 0
3 years ago
What is 243.00 minus 15% discount?
balu736 [363]
100-15=85
Therefore 0.85 is the multiplier
So 243.00 times by 0.85 = 206.55
8 0
2 years ago
What is the surface area of the cone? Express your answer in terms of π.b
weeeeeb [17]

Given:

Radius of the cone = 5 ft

Slant height of the cone = 21 ft

To find:

The surface area of the cone

Solution:

Surface area of cone formula:

SA=\pi r^{2}+\pi r l

where r is the radius and l is the slant height.

SA=\pi \times 5^{2}+\pi \times 5 \times 21

SA=\pi \times 25+\pi \times 105

SA=25 \pi+ 105 \pi

SA=130 \pi

The surface area of the cone is 130π square feet.

8 0
3 years ago
Solve this equation by completing the square: x2 + 4x – 13 = –8
marishachu [46]

Answer:

x = 1 or x = -5

Step-by-step explanation:

We are given;

  • The quadratic equation, x² + 4x - 13 = -8

We are required to solve the equation using the completing square method.

To do this, we use the following steps;

Step 1: We make sure the coefficient of x² is one

x² + 4x - 13 = -8

Step 2: Combine the like terms (take the constant term to the other side)

x² + 4x - 13 = -8

x² + 4x = -8 + 13

we get

x² + 4x  = 5

Step 3: We add the square of half the coefficient of x on both sides of the equation

Coefficient of x = 4

Half of coefficient of x = 2

Square of half the coefficient of x = 2² (4)

We get;

x² + 4x + (2²)  = 5 + (2²)

Step 4: Put x and 2 under one square and the solve the other side of the equation.

We get

(x + 2)² = 5 + 4

(x + 2)² = 9

Step 5: Get the square root on both sides of the equation;

(x + 2)² = 9

√(x + 2)² = ±√9

(x + 2)= ±3

Therefore;

x+2 = + 3 or x + 2 = -3

Thus, x = 1 or -5

The solution of the equation is x = 1 or x = -5

6 0
3 years ago
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