Answer:
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Step-by-step explanation:
Answer:
x = 8
y = -7
Step-by-step explanation:
This is a system of equations called simultaneous equations. We shall solve it by elimination method Step 1We shall label the equations (1) and (2)−3y−4x=−11.....(1)3y−5x=−61......(2)Step 2Multiply each term in equation (1) by 1 to give equation (3)1(-3y-4x=-11).....(1)-3y-4x=-11....(3)Step 3Multiply each term in equation 2 by -1 to give equation (4)-1(3y−5x=−61)......(2)-3y+5x=61.....(4)Step 4-3y-4x=-11....(3)-3y+5x=61.....(4)Subtract each term in equation (3) from each term in equation (4)-3y-(-3y)+5x-(-4x)=61-(-11)-3y+3y+5x+4x=61+110+9x=729x=72Step 5Divide both sides of the equation by 9, the coefficient of the unknown variable x to find the value of x 9x/9 = 72/9x = 8Step 6Put in x = 8 into equation (2)3y−5x=−61......(2)3y-5(8)=-613y-40=-61Collect like terms by adding 40 to both sides of the equation 3y-40+40=-61+403y=-21Divide both sides by 3, the coefficient of y to find the value of y 3y/3=-21/3y=-7Therefore, the values of x and y that satisfy the equations are 8 and -7 respectively
Answer:
50
Step-by-step explanation:
Set up the equation
12/x = 240/1000
cross multiply
1000(12) = 240(x)
12000 = 240x
divide both sides by 240
x = 50
Answer: x = 46
Step-by-step explanation: 20 + (5 + 7) = x - 14, 20 + (12) = x - 14
The weight of the cupcake in an expanded form is 3.5 * 10⁻¹ lb
<h3>How to determine the weight?</h3>
The weight is given as:
Weight = 0.35 lb
Remove the unit
Weight = 0.35
Multiply the weight by 1
Weight = 0.35 * 1
Express 1 as 10/10
Weight = 0.35 * 10/10
Evaluate the product
Weight = 3.5 * 1/10
Express 1/10 as an exponent
Weight = 3.5 * 10⁻¹
Return the unit
Weight = 3.5 * 10⁻¹ lb
Hence, the weight in expanded form is 3.5 * 10⁻¹ lb
Read more about metric units at:
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