A map has a scale of 1 cm : 15.5 km. Two cities are 2.3 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?
Answers
1 cm 15.5 km
2.3 cm x km
1/2.3=15.5/x
x=2.3*15.5
x=35.65≈35.7 km
15.5 times 2.3
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Five times a number is added to two times its square. if the result is 168, find the number
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1 2 3 4 5 6 7 8 4 1 2
2 3 4 9 5 9
1 1 4 8 6 2 4 9
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Mode and Mean for Class A
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Answers
For this case we must find the solution of the following inequality:
5(x+5)<85
We apply distributive property on the left side of inequality:
5x+25<85
We subtract 25 from both sides of the inequality:
5x<85-25
5x<60
We divide between 5 on both sides of the inequality:
x<60/5
x<12
Thus, the solution is given by all values of x less than 12.
x<12
What is the equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
What is the equation form?
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.
To learn more about the equation, refer
#SPJ2
5(x+5)<85
5(x + 5)/5 < 85/5
x + 5 < 17
x + 5 - 5 < 17 - 5
B. 405
C. 1,215
Answers
The fifth term of a sequence whose first term is 5 and whose common ratio is 3 will be 405. Then the correct option is B.
What is a geometric sequence?
A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.
Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The first term is 5 and its common ratio is 3. Then the formula is given as,
aₙ = 5 · (3)ⁿ⁻¹
The fifth term of a sequence will be given as,
a₅ = 5 · (3)⁵⁻¹
a₅ = 5 · (3)⁴
a₅ = 5 · 81
a₅ = 405
The fifth term of a sequence whose first term is 5 and whose common ratio is 3 will be 405. Then the correct option is B.
More about the geometric sequence link is given below.
#SPJ2
r=common ratio
n=the term
a(5)=5*3(5-1)
a(5)=5*81
a(5)=405
The answer is B)
Answers
Answer:
Step-by-step explanation:
Answers
Rounded to the nearest thousandth, they are
11.196
and
0.804 .
11.196 + 0.804 = 12
11.196 x 0.804 = 9.002...
Answer:
/3 b. 2x + 3y = 432 and 5x – 2y = 16
Answer:
Answers
Answer:
A.
5x-2y= -6-------(1)
2x-y= 1------(2)
Equation (1) - 2 × Equation (2)
→5x-2y-4x+2y= -6 -2
Adding and Subtracting like terms
→x= - 8
Putting the value of x in equation 2
→2×(-8) -y =1
→-16 -y=1
Adding 16 on both sides of equation
→-y=16+1
→y = -17
x= -8, and y= -17
B
2x + 3y = 432------(3)
5x – 2y = 16---------(4)
2×Equation (3) + 3 × Equation (4)
→4x+6y+15x-6y=864+48
→19 x=912
Dividing both sides by 19, we get
x=48
Putting the value of x, in equation (3)
2× 48+3y=432
96+3y=432
3y=432-96
3y=336
Dividing both sides by,3 we get
y=112
Solution set is equal to, x=48,y=112
2x - 1y = 1 ⇒ 10x - 5y = 5
y = -17
5x - 2(-17) = -6
5x + 34 = -6
- 34 - 34
5x = -40
5 5
x = -8
(x, y) = (-8, -17)
2x + 3y = 432 ⇒ 10x + 15y = 2160
5x + 2y = 16 ⇒ 10x + 4y = 32
11y = 2128
11 11
y = 193.4545455
2x + 3(193.4545455) = 432
2x + 580.3636364 = 432
- 580.3636364 - 580.3636364
2x = -148.3636364
2 2
x = -74.1818182
(x, y) = (-74.1818184, 193.4545455)