Answer:
Height= 4.5 Volume= 91.125
Step-by-step explanation:
Answer:
Expression: Y = -10/3 X
Y = 10/3
Step-by-step explanation:
If Y varies directly as X, then;
Y∝X
Y = kX
k is the constant of variation
If Y = 10 and X = -3
10 = -3k
k = -10/3
Substitute k = -10/3 into the expression Y = kX
Y = -10/3 X
This gives the required expression
To get the value of Y when X = -1
Recall that Y = kX
Y = -10/3 (-1)
Y = 10/3
Hence the value of Y is 10/3
<span>The slope of a line is -3
</span><span>perpendicular lines, slope is opposite and reciprocal
so </span><span>the slope of a line that is perpendicular to this line will be 1/3
answer
</span><span>C.1/3</span>
Lets x = Mary's age
Emily is there years older than twice her sister Mary's age = 2x + 3
Sum of both is less than 30:
x + 2x + 3 < 30
Solve for x
3x + 3 < 30
3x < 27
x < 9
Mary's age = 9
Inequality represents Mary's possible age:
0 < x < 9
Answer is the second one
0 < x < 9
(a) There are 1/4 cups of flour per serving
<u>Work:</u> 1.5/6=1/4
(b) There are aprox. .18 cups of sugar per serving.
<u>Work:</u> 9/12+4/12=13/12 n then divide 13/12 by 6
(c) You need 2 1/4 cups of flour to make 9 servings
<u>Work:</u> 1.5/2=.75 1.5+.75=2.25=2 1/4 cups
(d) Someone would need to know the amount of sugar per serving to make the recipe accurate.
<em>Question 2</em>
(a) You're account is at $10 dollars
<u>Work:</u> $5x5 (days)=$25. add 25 to -15 and you have $10 dollars in you're account.
(b) 5 days.
<u>Work:</u> 10/2=5 10-10=$0
