grandfath
3. My sister is 12 years older than lam Our combined age is half the age of our
grandfather. Our grandfather is 68 years old. How old am​

Answer:

a = 7

b = 3 1/2

Step-by-step explanation:

if you add the equations together then the 'b' will zero out

6a = 42

a = 7

substitute 7 for 'a' to solve for 'b'

3(7) - 2b = 14

21 - 2b = 14

-2b = -7

b = 7/2 or 3 1/2

Answer:

99 cm²

Step-by-step explanation:

1/2 BH

1/2 18 x 11

9 x 11

99

Answer:

150 multiply the 2 numbers

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Clare starts with:

a*x^2 + b*x + c = 0

And she gets to:

(2*a*x + b)^2 = b^2 - 4*a*c

Now we want to show the final steps to solve the equation (isolating x)

First, we apply the square root to both sides:

[tex]\sqrt{(2*a*x + b)^2} = \sqrt{(b^2 - 4*a*c)}[/tex]

Because the square root has two solutions, (one negative and one positive), we will write:

[tex]2*a*x + b = \pm \sqrt{b^2 - 4*a*c}[/tex]

Now we subtract b in both sides:

[tex](2*a*x + b) - b = \pm \sqrt{b^2 -4*a*c} - b[/tex]

[tex]2*a*x = \pm \sqrt{b^2 -4*a*c} - b[/tex]

Now let's divide by 2*a in both sides:

[tex]2*a*x/(2*a) = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]

[tex]x = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]

Answer:

28

Step-by-step explanation:

Answer:

C.  no solutions

Step-by-step explanation:

Both equations have a slope of -2, but have different y-intercepts.  Therefore, the graphs of the equations are parallel, but don't coincide, nor do they intersect.  So, there are no solutions

Answer:

946589196.155

Step-by-step explanation:

Hope that helps

Answer:

Figures ABC and DEF

Step-by-step explanation:

Why is there a hole in your screen?

Answer:

The answer is QRS and TRU !!

Step-by-step explanation:

Answer:

cylinder A is 141.3 meters

cylinder b is 245.5 meters

Step-by-step explanation:

Cylinder a: 3x3x5x3.14

cylinder B : 5x5x3x3.14

Answer:

The family used the pool for 8 months

Step-by-step explanation:

We know that the family paid a total amount of $1,350 dollars. We also know that they had to pay $350 dollars for joining the community pool. Lastly, they paid a monthly fee of $125 dollars. The value "x" represents months.

With that being said, here's our equation.

350 + 125x = 1,350

Subtract 350 from both sides and you should get this:

125x=1,000

Finally, divide 125 from both sides to get the x value.

x=8

:)

Answer:

uhhhh.....wut?

Step-by-step explanation:

The measure of the angle WSV is 38 degrees.

Complementary Angles Two angles are Complementary when they add up to 90 degrees.

The value of x is;

[tex]\rm 5x+17=9x-11\\\\ 5x-9x=-11-17\\\\-4x=-28\\\\x =\dfrac{-28}{-4}\\\\x=7[/tex]

The angle VST is equlas to;

[tex]\angle \rm VST=9x-11=9(7)-11=63-11=52 \ degrees[/tex]

The angle VST and angle WSV are the complementary angles;

[tex]\angle \rm WSV+\angle VST=90\\\\\angle \rm WSV+52=90\\\\ \angle \rm WSV=90-52\\\\\angle \rm WSV=38[/tex]

Hence, the measure of the angle WSV is 38 degrees.

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Answer:

Probability = 1/5 = 20%

Step-by-step explanation:

Prob (1st marble green) = Green Marbles / Total Marbles = 3/6 = 1/2

Pr (2nd marble red), without replacement = Red Marbles / Left Total Marbles = 2/5

Prob (1st marble green, & 2nd marble red) = 1/2 x 2/5 = 1/5

Prob in percent = 1/5 x 100 = 20%

Answer:

m<N=68

Step-by-step explanation:

opposite angles of the parallelogram are equal(or congruent):

4x+36=6x-2

6x-4x=36+2

2x=38

x=38/2=19

the sum of the angles of the parallelogram =360

4x+36=4(19)+36=112 angle P

6x-2=6(19)-2=112 angle M

let Q= N=x

2x+112+112=360

2x=360-224

2x=136

x=136/2=68

Answer:

nearest tenth?

Step-by-step explanation:

your answer would be .663

Simplify to the tenth would be  make it .7

Answer:

Kidz comic costs the most

Step-by-step explanation:

Given

Family Fun

[tex]C(x) = 1.99x[/tex]

Kidz Comics

[tex]m = 1.85[/tex] --- monthly rate

[tex]b = 10[/tex] --- delivery charge

Required

Which is more expensive

A linear function is represented as:

[tex]f(x) = mx + b[/tex]

Where

[tex]m = rate[/tex]

[tex]b = y\ intercept[/tex] --- i.e. the base charge

So, for Kidz comic; We have:

[tex]f(x) = mx + b[/tex]

[tex]C(x) = 1.85x + 10[/tex]

To calculate the annual cost, we set x = 12; i.e. 12 months.

So, we have:

[tex]C(x) = 1.99x[/tex] ---- Family Fun

[tex]C(12) = 1.99 * 12[/tex]

[tex]C(12) = 23.88[/tex]

[tex]C(x) = 1.85x + 10[/tex] --- Kidz comic

[tex]C(12) = 1.85*12 + 10[/tex]

[tex]C(12) = 22.2 + 10[/tex]

[tex]C(12) = 32.2[/tex]

By comparison

[tex]32.2 > 23.88[/tex]

Hence, Kidz comic is more expensive

Answer:

I think for this one it is D.

Step-by-step explanation:

Answer:

+ or - 0.044

Step-by-step explanation:

The margin of error is 0.044.

A Margin of Error is defined as the results will vary from the actual population value by how many percentage points, as indicated by the margin of error.

The margin of error using this formula, where z is the critical value.

[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]

To determine a margin of error for a sample proportion,

Where n is the sample size and is the sample proportion, these assumptions must be true.

n t ≥ 10

n(1 - t) ≥ 10

Write the proportion of lead to significant as a decimal number first,

42%

= 0.42

Now substitute the sample proportion and the sample size, 479, the assumptions are inserted into the equations to see if they are satisfied.

⇒(479X0.42) 201.18

⇒ (479)(1 − 0.42)

⇒  277.82

Both values are greater than 10, so the assumptions are satisfied, and the margin of error can be calculated.

Determine the margin of error using this formula, where z is the critical value.

[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]

For a 95% confidence level, z = 1.96.

Substitute the values of z, n, and T into the formula for margin of error and evaluate.

[tex]ME = 1.96\sqrt{\dfrac{0.42(1 - (10.42)}{479} }[/tex]

ME ≈ 0.044

Hence, the margin of error is 0.044.

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Answer:

I would have to say that the length of AC is 22.5

Answer:

Yes

Step-by-step explanation:

5x + 3y = 6

Answer's too short so here's some extra text.

Answer: 7.1 yd

Step-by-step explanation:

the formula for arc length is 2πr(x/360),  x being the central angle

input the values, so the equation would be 2π9(45/360), which equals 7.1

Answer:

6(2 + 2/3x) = 12 + 4x

Step-by-step explanation:

...............

Answer:

6(2 + [tex]\frac{2}{3}[/tex] x ) = 12 + 4x

Step-by-step explanation:

Note that

6 × [tex]\frac{2}{3}[/tex] = 4

Then

6(2 + [tex]\frac{2}{3}[/tex] x ) ← is the required expression

Answer = −3a − 4b + 5

Answer:

5

Step-by-step explanation:

Answer:

THE ANNOYING ORANGE THE ANOYING ORANGE THE ANNOYING ORANGE THE ANNOYING ORANGE!!!!!!!

Step-by-step explanation:

Answer:

1:4 is the ratio

Step-by-step explanation:

2:8 simplified is 1:4

not sure if this is exactly the right answer but I hope it helps

Answer:

Step-by-step explanation:

✓ A. (0, 0) [y < 3x + 2 → 0 < 2]

× B. (0, 2) [y < 3x + 2 → 2 < 2]

✓ C. (1, 4) [y < 3x + 2 → 4 < 5]

× D. (1, 7) [y < 3x + 2 → 7 < 5]

✓ E. (2, 6) [y < 3x + 2 → 6 < 8]

× F. (2, 8) [y < 3x + 2 → 8 < 8]