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Damm [24]
3 years ago
7

The sum of three numbers is 61 the second number is 5 times the first while the third is 2 less than the first find the numbers

Mathematics
1 answer:
Fofino [41]3 years ago
6 0

Answer:

9 + 45 + 7 = 61

Step-by-step explanation:

a+b+c = 61...eqn 1

b = 5a...eqn 2

c = a - 2...eqn 3

subst for b and c in eqn 1...

=> a+5a+a-2 = 61

=> 7a = 63

=> a = 9

subst for a in eqn 2...

=> b = 5×9 = 45

subst for a in eqn 3...

=> c = 9-2 = 7

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pav-90 [236]

Answer:

  2)  (-∞, 17]

Step-by-step explanation:

The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.

The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.

  y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17

The range of the function is (-∞, 17].

8 0
2 years ago
Vance charges $9.50 each time he mows his neighbor's lawn.
Stells [14]

Answer:

c:20 times

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
What is 23/56 + 34/100
Phoenix [80]

Answer:

0.750714286

Step-by-step explanation:

7 0
2 years ago
If anyone knows please help me
pishuonlain [190]

Answer:

Step-by-step explanation:

Standard form of a circle is given by,

(x - a)² + (y - b)² = r²

Here, (a, b) is the center and 'r' is the radius of the circle.

For a circle having center (8, -4) and radius r = 1

Equation of the circle will be,

(x - 8)² + (y + 4)² = 1²

(x - 8)² + (y + 4)² = 1

Option (1) is the answer.

Question (2)

Circle with the center (-1, 0) and a point (2, -4) on it,

Radius of the circle = Distance between the center and the given point on                                         circumference

                                = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

                                = \sqrt{(-1-2)^2+(0+4)^2}

                                = \sqrt{9+16}

                                = 5

Therefore, equation of the circle will be,

(x + 1)² + (y - 0)² = 5²

(x + 1)² + y² = 25

8 0
3 years ago
~khan academy 7th grade
pickupchik [31]

Question:

Which of the following expressions represents the distance between 1.7 and −1/2 on a number line?

Choose 1 answer: 

A.\ |1.7 - 1/2|

B.\ |1.7 -(-1/2)|

C. None of the above

Answer:

B.\ |1.7 -(-1/2)|

Step-by-step explanation:

Given

Numbers: 1.7 and -1/2

Required

Determine the distance

To calculate the distance, we start by calculating the difference between the given numbers;

Difference = 1.7 - (-1/2)

Then, we calculate the distance;

<em>In this case, the distance is meant to be positive; So, we'll introduce the symbol for absolute value;</em>

Hence,

Distance = |Difference|

Substitute 1.7 - (-1/2) for Difference;

Distance = |1.7 - (-1/2)|

<em>Hence, the correct option is B</em>

4 0
3 years ago
Read 2 more answers
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