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uranmaximum [27]
3 years ago
11

Th sum of three numbers is 64. The second number is 3 more than the first. The third number is

Mathematics
1 answer:
ladessa [460]3 years ago
8 0
<span>Three numbers can be defined as x, y, and z.
x + y + z = 64
y = x+3
z = 2x - 11
.
substitute for y and z
x + (x+3) + (2x-11) = 64
4x -8 = 64
4x = 72

x = 18
.
y = x+3 = 21
z = 2x -11 = 2(18) -11 = 36-11 = 25
.
x + y + z = 18 + 21 + 25 = 64
Correct.
.
Answer: The three numbers are 18, 21, and 25.</span>
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tatuchka [14]

idk but I think its 30?

8 0
4 years ago
graph the function f (x) = x^2 + 4x -5. on the coordinate plane. (a) What are the x-intercepts? (b) What are the y-intercepts? (
Butoxors [25]

Answer:

a) (-5,0) and (1,0)

b) (0,-5)

c) minimum

See attached graph.

Step-by-step explanation:

To graph the function, find the vertex of the function find (-b/2a, f(-b/2a)). Substitute b = 4 and a = 1.

-4/2(1) = -4/2 = -2

f(-2) = (-2)^2 + 4(-2) - 5 = 4 - 8 - 5 = -4 - 5 = -9

Plot the point (-2,-9). Then two points two points on either side like x = -1 and x = -3. Substitute x = -1 and x = -3

f(-1) = (-1)^2 + 4 (-1) - 5 = 1 - 4 - 5 = -8

Plot the point (-1,-8).

f(-3) = (-3)^2 + 4(-3)  - 5 = 9 - 12 - 5 = -8

Plot the point (-3,-8).

See the attached graph.

The features of the graph are:

a) (-5,0) and (1,0)

b) (0,-5)

c) minimum

5 0
3 years ago
Your family is going on a road trip to Disney World! On Day 1, you traveled x miles. On Day 2, you drove 58 miles more than 3 ti
ladessa [460]
First we write the expressions of each day separately:
 Day 1:
 you traveled x miles:
 x
 Day 2:
 you drove 58 miles more than 3 times the thousands on Day 1:
 3x + 58
 Day 3: 
 your family went 25 fewer thousands than Day 1
 x-25
 Then, we have:
 Day 1 + Day 2 + Day 3:
 x + (3x + 58) + (x-25)
 Rewriting:
 x + 3x + x + 58 - 25
 5x + 33
 Then, for x = 100
 5 * (100) + 33 = 533 miles.
 answer:
 5x + 33
 Total miles that family traveled from home to Disney World is
 533 miles
5 0
3 years ago
What is the area of the trapezoid?<br><br><br> 91 in 2<br> 182 in. 2<br> 140 in 2<br> 120 in. 2
mihalych1998 [28]

Answer: 91

Step-by-step explanation:

the equation to find the area of a trapezoid is as follows:

A = (a+b)/2h

So A = 6+20 which is 26

then you divide 26 by two which gives you 13, then multiply by 7

     

3 0
3 years ago
How much is a book that is regularly priced at $62.85 when it is 1/3 off?
Marina86 [1]

Answer:

$41.9

Step-by-step explanation:

divide $62.85 and get 20.95 which is 1/3 of it so then you just subtract $20.95 from $62.85 and get 41.9

3 0
3 years ago
Read 2 more answers
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