Answer:
There are <u>2.22 grams</u> of clay are in each pot.
Step-by-step explanation:
Given:
Dakota has 4/10 kg of clay. He divides the clay to make 888 equal-sized pots.
Now, to find the number of grams of clay are in each pot.
Dakota has clay = 
So, by using conversion factor we convert it into grams:
Quantity of clay he has = 400 grams.
Number of equal-sized pots to make = 888.
Now, to get the quantity of grams of clay are in each pot we divide number of equal-sized pots to make by quantity of clay he has:
Therefore, there are 2.22 grams of clay are in each pot.
Logan Chivery owns her own car. Her June monthly interest was $300. The rate is 8.5 percent. Logan's principal balance at the beginning of June is: (Use 360 days-do not round the denominator.)
A. $42,353.14
B. $42,335.14
C. $2,335.14
Answer: A. $42,353.14
Step-by-step explanation:
When taking a loan, we have to pay interest. The Simple Interest Formula is:
Simple Interest (I) = Principal (P) × Interest Rate (r)
Principal (P) is the borrowed amount.
Interest Rate (r) is the percent of the principal to be paid.
Time (t) is the length of time that money is borrowed.
If Logan Chivery has the monthly interest of $300 at a rate of 8.5% per year, first, we have to convert the year rate to the month of June rate.
30 days = 8.5÷360÷30 = 0.7083333333 interest rate
Then, find the Principal by using the formula
Simple Interest (I) = Principal (P) × Interest Rate (r)
4,2352.94×0.7083333333÷100=299.99
Answer:
5 groups
2 extra children
Step-by-step explanation:
The computation of a number of groups and number of extra children is shown below:
Given that
There is 27 children
And, this group would be divided into group 5
So,
As we know that 25 is easily divided by 5
So there are 5 groups
And, the extra children is
= 27 - 25
= 2 chidren
Answer:
First, you must find the midpoint of the segment, the formula for which is
(
x
1
+
x
2
2
,
y
1
+
y
2
2
)
. This gives
(
−
5
,
3
)
as the midpoint. This is the point at which the segment will be bisected.
Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula
y
2
−
y
1
x
2
−
x
1
, which gives us a slope of
5
.
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of
5
is
−
1
5
.
We now know that the perpendicular travels through the point
(
−
5
,
3
)
and has a slope of
−
1
5
.
Solve for the unknown
b
in
y
=
m
x
+
b
.
3
=
−
1
5
(
−
5
)
+
b
⇒
3
=
1
+
b
⇒
2
=
b
Therefore, the equation of the perpendicular bisector is
y
=
−
1
5
x
+
2
.
Related questions
What is the midpoint of the line segment joining the points (7, 4) and (-8, 7)?
How would you set up the midpoint formula if only the midpoint and one
Step-by-step explanation:
Jimmy received 122 pennies more than Andre
<u>Solution:</u>
Given that , Sam, Jimmy, and Andre shared a number of pennies in the ratio 8:5:3
Sam and Andre received a total of 671 pennies.
Now, let the H.C.F of number of pennies with them be "x"
Then, number of pennies with Sam will be 8x
Number of pennies with Jimmy will be 5x
Number of pennies with Andre will be 3x
Now, we know that, Sam and Andre has a total of 671 pennies
<em><u>Calculating how many more pennies Jimmy received than Andre:</u></em>
Number of Pennies Jimmy received more than Andre = Pennies with jimmy - Pennies with Andre
= 305 – 183 = 122
Hence, jimmy has 122 pennies more than Andre
