Answer:
Jack has 28 cards.
Step-by-step explanation:
To double 14, multiply 14 times 2. 14x2=28
2. y=2x+3
When x =0 and y= something, the 'something' is your y-intercept which is b in the y=mx+b formula. Then we look at what is changed in the x and y value to determine the m part. the x increase by 1 and y increase by 2 so the m part is 2.
3. y=-7x
Same as the last one, there is no y-inter this time because the y=0 when x=0/ So the y deceased by 7 each time and x incease by 1 so it is -7 for the m part.
800 x 100 = 80000
80000 divided by 16 = 5000
5000 - 800 = 4200
His overall budget is $4200
Answer: x ≤ -5.5
reason:
first, multiply 4x and -2 by 1/2 and 6x and 9 by -2/3.
this makes the equation 2x-1-4x-6 ≤ 4
combine like terms to make it -2x-7 ≤ 4
add 7 to both sides to get -2x ≤ 11
divide both sides by -2 and get x ≤ -5.5
Answer:
Step-by-step explanation:
Triangle DEF is a right angle triangle.
From the given right angle triangle
DF represents the hypotenuse of the right angle triangle.
With m∠D as the reference angle,
DE represents the adjacent side of the right angle triangle.
EF represents the opposite side of the right angle triangle.
To determine EF, we would apply the Sine trigonometric ratio
Sin θ = opposite side/hypotenuse. Therefore,
Sin 26 = EF/4.5
0.44 = EF/4.5
EF = 4.5 × 0.44 = 1.98 yo 2 decimal places
