138.72 - 45.23 - 18
These are the check costs that subtracted from her bank account
75.49 is what you get
A deposit is when you add money to your account, so, you add 75.85
75.49 + 75.85 = $151.34
Answer:
4 complete ribbons
Step-by-step explanation:
From the above question,
We can deduce that a project = complete ribbons
Hence,
1 1/4 yards = 1 complete project
6 yards = x
Cross Multiply
1 1/4 yards × x = 6 yards × 1 complete project
x = 6 yards ÷ 1 1/4 yards
x = 6 yards ÷ 5/4 yards
x = 6 yards × 4 yards/5
x = 24 /5
x = 4 4/5 complete projects(ribbons)
Therefore, she can cut 4 complete ribbons from 6 yards
The value of ∠PQR is 70 degree.
<h3>What is a Circle ?</h3>
A circle is a round figure whose all points lie in the same plane.
It is given that
The figure shows a circle with points P, Q, and R on it forming an inscribed triangle, measure of arc QR is 100°,
The measure of an inscribed angle is equal to one-half of the measure of the arc subtended by it,
Therefore
m∠QPR = (1/2) * 100° = 50°.
Angles in triangle
∠ PRQ = 90°
and ∠QPR =20°.
The value of the angle ∠PQR is
By angle sum property
90 +20+ x = 180
110 +x = 180
x = 70
Therefore the value of ∠PQR is 70 degree.
To know more about Circle
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For this case we have the following system of equations:
5x + 3y = 17
-8x - 3y = 9
We can rewrite the system like:
Ax = b
Where,
A = [5 3; -8 -3]
b = [17; 9]
x = [x; y]
The determinant of matrix A is given by:
lAl = ((5) * (- 3)) - ((3) * (- 8))
lAl = (-15) - (-24)
lAl = -15 + 24
lAl = 9
Answer:
The determinant for solving this linear system is:
lAl = 9