To find 70% percent of a number, multiply the number by 0.7. in this instance , 0.7 x 15= 10.5 .therefore, 70 percent of 15 is equal to 10.5
Answer:
The value of 2 pennies and 3 dimes is 17¢. The value of p pennies and d dimes is (p×1)+(d×5)
Step-by-step explanation:
Use the formula (p×1)+(d×5).
Insert the number of pennies and dimes into the formula: (2×1)+(3×5).
Solve the equation: (2×1)+(3×5)
= 2+(3×5)
= 2+15
= 17
So, there are 17¢ in 2 pennies and 3 dimes.
The answer for question 2 is the formula written above.
In the question above, to find the height we have to calculate the value of y.
We are going to solve the 2 equations simultaneously.
y = -0.5x²<span> + 3x .............................................(1)
</span><span>-0.5x + 2.42y = 7.65 .....................................(2)
Solve using substitution method.
From the equation 1,
</span>y = -0.5x² + 3x
Substitute the value of y in the equation 2 with y = -0.5x² + 3x
So we have,
-0.5x + 2.42(-0.5x² + 3x ) = 7.65
-0.5x - 1.21x² + 7.26x = 7.65
- 1.21x² + 6.76x = 7.65
1.21x² - 6.76x - 7.65 = 0
This is a quadratic equation.
Solving the for x using quadratic formula.
x = (- - 6.76 +/- √( 6.76² - 4×1.21×7.65)) ÷ 2
= (6.76 +/- √82.7236) ÷2
= 6.76 +/- 9.095
x = 15.86 or -2.335
But distance can not be negative, the value of x = 15.86 ft.
The height which is the value of y will be;
y = -0.5x² + 3x
= -0.5(15.86)² + 3(15.86)
= 125.7698 + 47.58
= 173.3498 ft
Height = 173.3498 ft
Answer:
43.98cm
Step-by-step explanation:
The equation of the line through (3,-5) and perpendicular to -3x + 2y = 12 in slope-intercept form is y = -2/3x + 1
<h3>Equation of a line</h3>
The equation of a line is expressed as;
y = mx + b
m is the slope
b is the y-intercept
Given the equation -3x + 2y = 12
2y = 3x + 12
y = 3/2x + 6
From the equation, the slope that is perpendicular to the slope is -2/3
<u>Determine the equation</u>
y-(-5) = -2/3(x-3)
y+5 = -2/3x + 6
y = -2/3x + 6 - 5
y = -2/3x + 1
Hence the equation of the line through (3,-5) and perpendicular to -3x + 2y = 12 in slope-intercept form is y = -2/3x + 1
Learn more on equation of a line here: brainly.com/question/13763238
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