Answer: 4.3
Step-by-step explanation:
she can make 4.3, 18 pound patties out of a 78 pound of hamburger
Answer:
\text{Compounded Quarterly:}
Compounded Quarterly:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
P=3500\hspace{35px}r=0.035\hspace{35px}t=19\hspace{35px}n=4
P=3500r=0.035t=19n=4
Given values
A=3500\left(1+\frac{0.035}{4}\right)^{4(19)}
A=3500(1+
4
0.035
)
4(19)
Plug in values
A=3500(1.00875)^{76}
A=3500(1.00875)
76
Simplify
A=6786.05963486
A=6786.05963486
Use calculator
A\approx 6800
<h2>A≈6800</h2>
Step-by-step explanation:
Answer:
x = -2, y = 21
Step-by-step explanation:
Let 4x + y = 13 to be equation1 {eqn1}
and let 5x - y = 5 to be equation2 {eqn2}
Using elimination method, you would try to make sure a particular unknown has the same value in both equation 1 and 2. This would make it easy for you to subtract one equation from the other.
Notice how the value of y is the same in both equations. That's a good sign.
But the signs aren't the same. Meaning y in eqn1 has a value of +1, and y in eqn2 has a value of -1. We need to make them similar.
So, we multiply the value of y in eqn1 by all the terms in eqn2. And, do pretty much the same thing by multiplying the value of y in eqn2 by all the terms in eqn1.
You would have:
-1 * (4x + y = 13)
+1 * (5x - y = 5)
This would result in;
-4x - y = -13 (eqn3)
5x - y = 5 (eqn4)
So, just subtract eqn3 from 4
You would have;
(5x - -4x) + (-y -- y) = (-13 - 5)
9x + 0 = -18
x = -18/9 = -2
and to find y;
just substitute the value of x into any of the 4 equations. let's try equation 1
Therefore;
4(-2) + y = 13
-8 + y = 13
y = 13 + 8 = 21
Answer:
Yes the information i.e. AT ║ CS and diagonals AS = CT are sufficient to prove that CATS is an isosceles trapezoid.
CATS is an isosceles trapezoid. (Proved)
Step-by-step explanation:
Yes the information i.e. AT ║ CS and diagonals AS = CT are sufficient to prove that CATS is an isosceles trapezoid.
Proof :
Taking Δ CAT and Δ STA,
(i) CT = AS (Given)
(ii) AT is the common side and
(iii) ∠ ACT = ∠ TSA
{Since AT ║ CS and the angles are obtained from the same base AT}
Therefore, by the criteria Side-Side-Angle i.e. SSA, we can say Δ CAT ≅ Δ STA.
Hence, AC = ST {Corresponding sides}
Therefore, CATS is an isosceles trapezoid. (Proved)
Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Problem 5</u>

Check solution:

<u>Problem 6</u>
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Check solution:
