11) 2x+6y-3; x=5,y=4
the question is asking to evaluate for y when x=5 and evaluate for x when y=4,
2x+6y-3
2x+6y=3
2(5)+6y=3
10+6y=3
6y=3-10
y=-7/6 when x=5
2x+6(4)=3
2x+24=3
2x=3-24
x=-21/2 when y=4
12)
Input Output
N 4(n+3)
12 4(12+3) = 4(15)=60
14 4(14+3)=4(17)=68
18 4(18+3)=4(21)=84
25 4(25+3)=4(28)=112
13)8x+y-10; x=4, y=50
8x+y=10
8(4)+y=10
32+y=10
y=10-32
y=-22 when x=4
8x+50=10
8x=10-50
8x=-40
x=-40/8
×=-5/1=-5 when y=50
14) b is correct
15)c is correct
16) c is correct
If you need explanations on these questions, message me.
This can be solve using cosine lawbut first let as solve the included angle in the triangle form
angle = 180 - 42angle = 138
c^2 = a^2 + b^2 - 2ab(cos angle)c^2 = 150^2 + 70^2 - 2(150)(70)cos(138)C^2 = 43006.04c = sqrt(43006.04)c = 207.37 mile
directionsin (x) / 70 = sin (138)/ 207.37sin x = 0.2259x = arcsin(0.2259)x = 13.05 degree north of west
Answer:
87.5 ml tube of toothpaste slightly offers the better value of money.
Step-by-step explanation:
In order to know the better value of money, we need to find the volume of each toothpaste for 1p.
For first tube of toothpaste:
87.5 ml costs 49p
Therefore, for 1 p = 87.5/49 = 1.78571429 = 1.8 ml
For second tube of toothpaste:
125 ml costs 72 p
Therefore, for 1 p = 125/72 = 1.73611111 = 1.7 ml
Since, 1.8 ml > 1.7 ml
So, 87.5 ml tube of toothpaste slightly offers the better value of money.
The answer is B, C, and D. Like terms are terms with all the same variable, so 5x and -x are like terms.
C is correct. If we add -x to 5x, we get 4x. The other numbers remain unchanged because they have no like terms.
D is correct. Applying the rule of like terms, which is that like terms are numbers with the same variable, only add together numbers with the same variable.
stay safe!! wash ur hands and wear a mask :D
