The answer is D
This is because if for every $50 he saves $5, and he has saved a total of $500, you can set up a proportion to find out how much money he has saved at that point.
The proportion is as follows:
50/5 == 500/x
x is equivalent to the amount of money he has saved
You can cross multiply to get the following equation:
50x == 2500
To isolate x, you must divide both sides by 50, giving you an answer of:
x = 50
This is the same as option D
O-b = -a. O b-a=0
Ob(-a) = 0
The simplification of the given mixed number expression is equal to 1 9/10.
To perform the division of mixed numbers 2 3/8 ÷ 1 1/4, follow these steps:
Convert the mixed numbers to improper fractions.
2 3/8 = (2 × 8 + 3) / 8 = 19 / 8
1 1/4 = (1 ×4 + 1) / 4 = 5 / 4
Take the reciprocal of the divisor (the second fraction) to turn the division into multiplication.
Reciprocal of 5 / 4 is 4 / 5.
Multiply the dividend (the first fraction) by the reciprocal of the divisor.
(19 / 8) × (4 / 5) = (19 × 4) / (8 × 5) = 76 / 40
Simplify the result if possible.
To simplify the fraction 76 / 40, divide both the numerator and denominator by their greatest common factor (GCF), which is 4.
76 ÷ 4 = 19
40 ÷ 4 = 10
The simplified fraction is 19/10.
Convert the improper fraction back to a mixed number (if needed).
19/10 can be written as 1 9/10.
Therefore , the answer of the simplification to 2 3/8 ÷ 1 1/4 is 1 9/10.
learn more about simplification here
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ladder is on the ground at a
distance of 12 feet from the
base of the building. The base of
the building and the ground
form a right angle as shown. Find
the distance between the ground
and the top of the ladder, x, in
feet.
Answer:
From the bottom of the building to the top of the ladder, it is 16 feet.
Step-by-step explanation:
Depending on what grade you are in, you might know the Pythagorean theorem, whose equation is a^2+b^2=C^2 The measurement of the leaning ladder (20ft) is the hypotenuse of the right triangle, the distance from the bottom of the ladder to the building is the leg length (12ft). With this information we know the "c" of the equation, and the "b" or "a" of the equation. If we plug in the number for the letter the equation will look like this:
12^2+b=20^2. 20 to the second power is 400, and 12 to the second power is 144. You can use the subtraction property of equality and get b^2=256. Use can use a calculator for this part. The square root of 256 is 16, which leaves the equation with b=16