Answer:
"She invested $2500 in 5% account and $5500 in 8% account"
Step-by-step explanation:
Let the amount invested in 5% account be "x"
So, the amount invested in 8% account would be "8000 - x"
Interest amount is the percentage multiplied by amount invested. So
Interest of 5% account = 5% of x = 0.05x
Interest of 8% account = 8 % of 8000 - x = 0.08(8000 - x)
Total interest is the sum of these 2 expressions that EQUATES to 565 (given). Let's solve for x:
and thus,
"8000 - x" = 8000 - 2500 = 5500
Hence,
She invested $2500 in 5% account and $5500 in 8% account
Answer:
The solids <u>are</u> similar.
Step-by-step explanation:
Every linear dimension of the larger solid is twice that of the smaller solid. Since the scale factor is the same in every direction, the figures <u>are similar</u>.
Answer:
The price of one hot dog is $1.65
Step-by-step explanation:
8h+4c= x
c= 1.25
x= 18.20
8h + 4(1.25)= 18.20
8h + 5 = 18.20
( subtract 5 from both sides of the equation)
8h = 13.20
( divide both sides by 8 to isolate the variable)
h = 1.65
so each hot dog is 1.65
Answer:
27
Step-by-step explanation
6x - 3
6(5) - 3 || replace the x with its value
30 - 3 || multiply (also known as simplify)
27 || subtract 3 from 30
x = 56°
Solution:
Part A:
Given data:
2x and 68° are adjacent angles in a straight line and their measures have sum of 180°.
Part B:
<em>Sum of the adjacent angles in the straight line is 180°.</em>
2x + 68° = 180°
Subtract 68° from 180°, we get
⇒ 2x = 112°
Divide by 2 on both sides, we get
⇒ x = 56°
The value of x is 56°.
Part C:
By part A and part B,
2x° + 68° = 2(56°) + 68°
= 112° + 68°
= 180°
2x° + 68° = 180°
Hence proved.
