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suter [353]
3 years ago
11

Sixteen increased by twice a number is 36 find the number

Mathematics
2 answers:
Marina CMI [18]3 years ago
8 0
16 + 2n= 36

hope this helps . give brainliest 
thanks 
Paladinen [302]3 years ago
5 0
So it's 16 plus double the number we need is 36, 36 - 16 = 20 20 / 2 = 10
The number is 10
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For what values of x will the function f(x) = 3x² + 13x - 10 equal zero?
Oduvanchick [21]

Answer:

x = - 5 , x = \frac{2}{3}

Step-by-step explanation:

the values of x that make f(x) zero are the zeros

to find the zeros let f(x) = 0 , that is

3x² + 13x - 10 = 0

consider the factors of the product of  the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = + 13

the factors are + 15 and - 2

use these factors to split the x- term

3x² + 15x - 2x - 10 = 0 ( factor the first/second and third/fourth terms )

3x(x + 5) - 2(x + 5) = 0 ← factor out (x + 5) from each term

(x + 5)(3x - 2) = 0

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = \frac{2}{3}

4 0
2 years ago
Two horses are ready to return to their barn after a long workout session at the track. the horses are at coordinates H(1,10) an
ss7ja [257]
The given information are the coordinates of points H, Z and B. So, the first step to do is to plot these points on a Cartesian plane as shown in the attached picture. We can deduce visually that horse Z is closer to the barns than horse H. But, to further justify the answer, we have to provide the magnitude of the distance of horses H and Z to barn B. In this approach, we use the distance formula:

d = √(x₂ - x₁)² + (y₂ - y₁)²

Use the coordinates of the two points to know their linear distances. These are represented by the red and green lines for each of the horses.

Distance between H and B = √(⁻3 - 1)² + (⁻9-10)²
Distance between H and B = √(⁻3 - 1)² + (⁻9-10)²
Distance between H and B  = 19.4165

Since the scale is 1 unit = 100 meters, the actual distance between horse H and barn B is 19.416*100 = 1,941.65 meters


Distance between Z and B = √(⁻3 - 10)² + (⁻9-1)²
Distance between Z and B = √(⁻3 - 10)² + (⁻9-1)²
Distance between Z and B  = 16.4012

Since the scale is 1 unit = 100 meters, the actual distance between horse Z and barn B is 16.4012*100 = 1,640.12 meters

Comparing the distances: 1,941.65 meters > 1,640.12 meters. Therefore, it justifies that horse Z is nearer to the barn.

4 0
3 years ago
A certain mathematics contest has a peculiar way of giving prizes. Five people are named as Grand Prize winners, but their finis
bixtya [17]

Answer:

The number of complete award announcements possible are 19,554,575,040.

Step-by-step explanation:

Combination is the number of ways to select <em>k</em> items from <em>n</em> distinct items when the order of selection does not matters.

Whereas permutation is the number of ways to select <em>k</em> item from <em>n</em> items when order of selection matters.

The number of people entering this year is 22.

The number of ways to select 5 people for Grand Prize is, {22\choose 5}=\frac{22!}{5!(22-5)!} =26334.

The remaining number of people is, 22 - 5 = 17.

It is provided that the other 5 are selected according to an order.

The number of ways to select other 5 winners is,

^{17}P_{5}=\frac{17!}{(17-5)!} =742560

The total number of ways to select 10 winners of 22 is:

Total number of ways = 26334 × 742560 = 19,554,575,040.

6 0
3 years ago
The expression 5x^2+x-10 has ___ terms and a constant of ____
Kazeer [188]
The answer is A). The expression has 3 terms and a constant of -10.
4 0
4 years ago
Read 2 more answers
Which equation has the least steep graph?
MAVERICK [17]

Answer:

y=\frac{1}{4}x+6

Step-by-step explanation:

y=\frac{1}{4}x+6 is the least steeped graph

  1. The greater the slope, the steeper the line.
  2. Also you use the absolute values of the slopes when determining the steepness.
  • So here it would be: \frac{3}{4},7,\frac{1}{4},2
  • Now, arrange them from least to greatest: \frac{1}{4},\frac{3}{4},2,7

As you can see, \frac{1}{4} is the smallest number/slope.

Hope this helps!

7 0
3 years ago
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