Answer:B) -5/6 divide 1/5 = -4 1/6
Step-by-step explanation:Do KCF which is Keep Change Flip .Or change both to demical.
Step-by-step explanation:
Let the number is a <em>and</em><em> </em>b
The sum of two numbers =30
so,a+b=30 <em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>(</em><em>1</em><em>)</em>
The difference of two number =12
so,a-b=12<em> </em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>(</em><em>2</em><em>)</em>
If we add two equation (1) and (2)
we get,
a+b+a-b=30+12
2a=42
so,one number is a=21
if we put the value a in (2) equation
we get,
a-b=12
21-b=12
b=21-12
b=9
so,the another number is=b=9
Answer:
$2,800
Step-by-step explanation:
The formula for simple interest is I = PRT, where I is the interest (earned or paid), P is the principal amount invested/borrowed, R is the rate in decimal form, and T is the time in years.
I = (2000)(0.05)(8)
I = $800
Then we add that to the principal to get $2,800
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Joey made a deposit into an account that earns 6% simple interest. After 3 years, Joey earned $400. How much was Joey's initial deposit?
I = PRT
400 = P(0.06)(3)
400 = 0.18P
P = $2,222. 22
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Peter is calculating the interest earned on a deposit of $275 in an account that earns 8% simple interest after 12 years. What is the ??? guessing interest earned?
I = PRT
I = (275)(0.08)(12)
I = $264
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Neil's grandmother has left him a small inheritance of $6,000. Neil would like to invest it at a rate of 5% interest. What is the simple???
I = PRT
I = (6000)(0.05)(T)
Please let me know if you have questions, or want to fill in the missing information on questions 3 & 4.
Answer: d = -16 .
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Explanation:
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Given: 0.2 (d − 6) = 0.3d + 5 − 3 + 0.1 d ; Solve for "d" ;
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→ Note the distributive property of multiplication:
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a (b + c) = ab + ac ;
a (b − c) = ab − ac ;
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As such, we can expand the left-hand side of the question:
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→ 0.2 (d − 6) = (0.2 *d) − (0.2 *6) = 0.2 d − 1.2;
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And rewrite the entire equation:
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→ 0.2 d − 1.2 = 0.3d + 5 − 3 + 0.1 d ;
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→ Let us multiply the ENTIRE equation (both sides) by "10"; to get rid of the decimals:
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→ 10 * {0.2 d − 1.2 = 0.3d + 5 − 3 + 0.1 d} ;
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→ 2d − 12 = 3d + 50 − 30 + 1d ;
→ Combine the "like terms", +3d , +1d ; to get 4d; on the 'right-hand side' of the equation ; and rewrite:
→ 2d − 12 = 4d + 50 − 30 ;
→ Now add "12"; and subtract "2d" from EACH SIDE of the equation;
→ 2d − 12 + 12 − 2d= 4d + 50 − 30 + 12 − 2d ;
→ 0 = 2d + 32 ; ↔ 2d + 32 = 0 ;
→ Subtract "32" from each side of the equation:
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→ 2d + 32 − 32 = 0 − 32 ;
→ 2d = - 32
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→ Now, divide EACH side of the equation by "2" ; to isolate "d" on ONE side of the equation; and to solve for "d" ;
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→ 2d / 2 = - 32 / 2 ;
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→ d = - 16 ; which is our answer.
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Let us check our answer by plugging this value for "d" in the original equation to see if the equation holds true when "d = -16" ;
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→ 0.2 (d − 6) = 0.3d + 5 − 3 + 0.1 d ;
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→ Let us start with the "left-hand side".
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→ 0.2 (d − 6) ; ↔ 0.2*(-16 − 6) ; ↔ 0.2*(-22) = -4.4.
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When "d" = -16 in the right-hand side of the equation,
is the result, "-4.4" ???
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→ 0.3d + 5 − 3 + 0.1 d = ? -4.4 ???
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→ (0.3 * -16) + 5 − 3 + (0.1 * -16) =? -4.4???
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→ (-4.8) + 5 − 3 + (-1.6) = ? -4.4????
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→ (-4.8) + 5 − 3 − (1.6) = ? -4.4????
→ -4.4 =? -4.4??? Yes!!!
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