Answer:
3/4 of 44 is 8 more than 25
Step-by-step explanation:
8 more than 25, is 33.
33 is 3/4 of 44.
because 33 divides by 3 will be 11, then times 4, you will get 44.
There are 187 nickels and 66 dimes in the jar.
Step-by-step explanation:
Given,
Total coins = 253
Value of coins = $15.95 = 15.95*100 = 1595 cents
Value of each nickel = 5 cents
Value of each dime = 10 cents
According to given statement;
x+y=253 Eqn 1
5x+10y=1595 Eqn 2
Multiplying Eqn 1 by 5

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 5

Putting y=66 in Eqn 1

There are 187 nickels and 66 dimes in the jar.
Keywords: linear equation, elimination method
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We are given:
- Parallelogram CDEF
- ∠C = 13x - 10
- ∠D = 5x + 10
To Find: ∠E
Concept Used:
- Adjacent angles of a Parallelogram are Supplementary
Finding the value of 'x':
Since adjacent angles of a parallelogram are Supplementary:
∠D + ∠C = 180
5x + 10 + 13x - 10 = 180 [replacing the values of angle C and D]
18x = 180
x = 10 [dividing both sides by 18]
__________________________________________________________
Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
__________________________________________________________
Finding the measure of ∠E:
∠D and ∠E are Adjacent angles
Since Adjacent angles are Supplementary:
∠D + ∠E = 180
60 + ∠E = 180
∠E = 120° [subtracting 60 from both sides]
Hence, the measure of ∠E = 120°
<span>f(x) = x² + 4x
so
</span><span>f(-2) = (-2)² + 4(-2)
f(-2) = 4 - 8
f(-2) = -4
answer
-4</span>
1 kilometer equal .62 miles.