Answer:
A night stay and meal cost= $40.18
Step-by-step explanation:
Simultaneous equations
2n +4m=195 x 10
7n+10m=650 x 4
28n+40n= 2600
20n+40n=1950
Subtract
8n=650
1 night= 81.25
Substitute
81.25 x 2 +4m=195
162.5+4m=195
4m= 32.5
1 meal= 8.13
1 night and meal= $40.18
Hope it was right
Answer: Option A and Option B.
Step-by-step explanation:
You need to remember the logarithms properties:
You can observe in Option A:
(This is true)
You can observe in Option B:
(This is true)
You can observe in Option C:
(This is not true)
You can observe in Option D:
(This is not true)
Question :
Point M is between points L and N on line LN. LN = 6<em>x</em>, LM = 4<em>x</em> + 8 and MN =27. Use the information to solve for x, and then find LN.
Solution :
According to the question,
LM + MN = LN,
Therefore, the value of <em>x</em><em> </em>is <em>1</em><em>7</em><em>.</em><em>5</em><em> </em><em>u</em><em>n</em><em>i</em><em>t</em><em>s</em>
LN = 6<em>x</em>
LN = <em>1</em><em>0</em><em>5</em><em> </em><em>u</em><em>n</em><em>i</em><em>t</em><em>s</em><em>.</em>
<em>P</em><em>l</em><em>e</em><em>a</em><em>s</em><em>e</em><em> </em><em>m</em><em>a</em><em>r</em><em>k</em><em> </em><em>a</em><em>s</em><em> </em><em>b</em><em>r</em><em>a</em><em>i</em><em>n</em><em>l</em><em>i</em><em>e</em><em>s</em><em>t</em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>f</em><em>o</em><em>l</em><em>l</em><em>o</em><em>w</em><em> </em><em>m</em><em>e</em>
Answer:
The answer is below
Step-by-step explanation:
The Freeman family barbecued veggie burgers, corn cobs, and mushroom caps. 3/8 of the items barbecued are veggie burgers, and 1/3 of the items barbecued are corn cobs.
Let the total number of berbecued items be x. Therefore:
x = barbecued veggie burgers + barbecued corn cobs + barbecued mushroom caps
Barbecued veggie burgers = (3/8)x, barbecued corn cobs = (1/3)x, Let barbecued mushroom caps be y
Substituting:
x = (3/8)x + (1/3)x + y
Multiply through by 24
24x = 9x + 8x + 24y
24x = 17x + 24y
24y = 24x - 17x
24y = 7x
y = (7/24)x
barbecued mushroom caps = (7/24) of items
7/24 of the items barbecued are mushroom caps
Answer:
0.03A + 0.03B = 800
A + B = 20000
Step-by-step explanation:
Let one part A of the total money invested with 3% interest = $A
Therefore, other part B of the money invested with 5% interest = $B
Interest = Principal amount × Rate of interest × Duration of investment
If the duration is 1 year,
Interest = Principal amount × Rate of interest
Return on part A = A × 0.03
Return on part B = B × 0.05
Total return = $800
So the equations will be,
0.03A + 0.03B = 800 -------(1)
Since, total money invested = $20000
Equation will be,
A + B = 20000 -------(2)