Answer:
16.67%
Step-by-step explanation:
If area triples every year :
This means that :
With an initial area of 10;
Area at the end of the year = 3 * 10 = 30
Percentage increase per year :
(30 - 10) / 10 * 100%
(20 / 10) * 100%
2 * 100%
= 200% per year
Therefore, monthly increase %
Yearly % increase ÷ number of months in a year
200% ÷ 12
= 16.666666%
= 16.67%
Answer:
Cooper needs 39.8 mL milk for his recipe
Step-by-step explanation:
Let B be the quantity of butter
and
m be the quantity of milk
<u>So according to given statement the whole mixture measures 70.4 mL while butter measures 30.6mL</u>
so,
B+m = 70.4
30.6 + m = 70.4
m = 70.4 - 30.6
m = 39.8 mL
Cooper needs 39.8 mL milk for his recipe ..
Answer:
a
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = -
, thus
y = -
x + c ← is the partial equation
To find c substitute (- 5, 8) into the partial equation
8 = 1 + c ⇒ c = 8 - 1 = 7
y = -
x + 7 ← in slope- intercept form
Multiply through by 5
5y = - x + 35 ( add x to both sides )
x + 5y = 35 ← in standard form → a
Question 1:
73 is a prime number. It can only be divided by 1 and by itself.
The GCF of the three numbers:
54 36 73
1×54 1×36 1×73
2×27 2×18
3×18 3×12
6×9 4×9
6×6
GCF of 54, 36 and 73 is 1
GCF of 54 and 36 is 18
If we divide 54 apples into 18 baskets, we have 3 apples in each basket
If we divide 36 oranges into 18 baskets, we have 2 oranges in each basket
If we divide 73 bananas into 18 baskets, we have 4 bananas in each basket + one banana left over.
So the greatest number of identical fruit baskets we can make with the least amount of fruit left over is 18 baskets
Answer:
m<T = , m<M = and m<Z =
Step-by-step explanation:
From the given ∆TMZ, let the measure angle T be represented by T.
So that,
m<M = 2T + 6°
m<Z = 5T - 50°
Sum of angles in a triangle =
T + (2T + 6°) + (5T - 50°) =
8T - =
8T = +
=
T =
=
Therefore,
i. m<T =
ii. m<M = 2T + 6°
= 2 x + 6°
=
m<M =
iii. m<Z = 5T - 50°
= 5 x - 50°
= - 50°
=
m<Z =