David is twice as old as Abby. If a represents Abby’s age, which expression represents David's age?

A) 3 + a
B) 2 + a
C) 2a
D) 3a

9514 1404 393

Answer:

  40%

Step-by-step explanation:

15 -9 = 6 gallons remain.  The fraction remaining can be expressed as a percentage by multiplying it by 100%.

  fraction remaining = (remaining gallons)/(capacity) = 6/15 = 2/5

  percent remaining = 2/5 × 100% = 40%

Answer:

Step-by-step explanation:

For the shown triangle we use the tangent of 60° angle to find the value of x:

Angle A and 60° are complementary.

The measure of angle A:

Step-by-step explanation:

[tex] \tan(60) = \frac{x}{14} \\ \\ \sqrt{3} = \frac{x}{14} \\ \\ x = \sqrt[14]{3} [/tex]

the measure of angel A

m < a = 90-60 = 30

Answer:

3

Step-by-step explanation:

5 percent * 60 =

(5:100)* 60 =

(5* 60):100 =

300:100 = 3

Answer: 57

Step-by-step explanation:

5% of 60 is 3 and 60-3 is 57

IF there was only 5/8 of the pizza left, and each person gets 1 slice for 5 friends, then each friend gets A - 1/8 of the pizza.

I hope this helps! :)

Answer:

1 /8

Step-by-step explanation:

Answer:

$740.86

Step-by-step explanation:

Let me know if you need the steps.

9514 1404 393

Answer:

  1/8

Step-by-step explanation:

1 pound is 16 ounces, so 2 pounds is 32 ounces.

  (4 oz) / (2 lb) = (4 oz) / (32 oz) = 4/32 = 1/8

Answer:

55/63

Step-by-step explanation:

Answer:

It's decreasing quickest  between 3:23 and 3:24 (where the steepest drop on the graph is)

Answer:

3:23-3:24

…………………..

Answer:

how is traffic to + 54 degree + 42 degree then that 96 degree - by 180 degree you get you will get 84 degree

Step-by-step explanation:

the answer is in the image above

Answer:

Step-by-step explanation:

Convert improper fraction to mixed fraction.

[tex]\dfrac{5}{3}=1\dfrac{2}{3}[/tex]

1 2/3 is between 1 and 2. denominator is three. Divide into 3 parts.

Answer:

For the first question she would get 400 miles total by 5 PM and for the second question, he gets $25 dollars per lawn (at least I think that's what the question means)

Step-by-step explanation:

1st question: Since they get 50 miles per hour because 4-1 equals 3. 350-200 equals 150. 150/3 = 50 miles per hour

2nd question: 100/4 = 25

Answer:

16/52 or 16/54

Step-by-step explanation:

2 blacks 2 reds

4 colours

4 kings

4 queens

4 jacks

4 ace

16 total of ‘em

and number of cards in Deck is 52, 54 if counted 2 jokers

We want to find the absolute difference between the greatest and the least of 3 consecutive terms of an arithmetic sequence that meet some given criteria. We will get that the difference is 3.88 or 12.88.

We know that the difference between any pair of two consecutive terms in an arithmetic sequence is a constant.

So if that difference is D, we can write 3 consecutive terms as:

A, A + D, A + 2*D

The sum must be equal to 27, then we have:

A + (A + D) + (A + 2*D) = 27

And the sum of their squares is equal to 293, then we have:

A^2 + (A + D)^2 + (A + 2*D)^2 = 293

If we simplify these two equations we get:

3*A + 2*D = 27

3*A^2 + 6*D*A + 5*D^2 = 293

To solve this, we just need to isolate one of the variables in the first equation and then replace that in the other one.

3*A = 27 - 2*D

A = (27 - 2*D)/3 = 9 - (2/3)*D

Replacing that on the other equation we get:

3*(9 - (2/3)*D)^2 + 6*(9 - (2/3)*D)*D + 5*D^2 = 293

Now we can solve this for D:

3*(81 - 2*9*(2/3)*D + D^2) + 54*D - 4*D^2 + 5*D^2 = 293

(243 - 293) + 18*D + 4*D^2 = 0

-50 + 18*D + 4*D^2 = 0

That is just a quadratic equation, the solutions are given by:

[tex]D = \frac{-18 \pm \sqrt{18^2 - 4*4*(-50)} }{2*4} \\\\D = \frac{-18 \pm 33.53}{8}[/tex]

Then we have two possible values for D, we take the positive one to get:

D = (-18 + 33.53)/8 = 1.94

And the difference between the greatest and least of these 3 numbers is twice the common difference, so is equal to 2*D = 2*1.94 = 3.88

If instead we take the other solution, we get:

D = (-18 - 33.53)/8 = -6.44

Then the absolute difference is -2*D = -2*-6.44 = 12.88

If you want to learn more, you can read:

https://brainly.com/question/25715593

Answer:

104. Explanation: There are 4 10 s to multiply.

Step-by-step explanation:

Answer:

The area of the dilated figure is the area of the original figure multiplied by the square of the scale factor.

Step-by-step explanation:

Answer:

.40

Step-by-step explanation:

move the decimal over 2 times

Answer:

40%=0.4

Step-by-step explanation:

Answer:

the answer is a

Step-by-step explanation:

2/6=1/3 therefore 4/6+1/3=6/6

Answer:

Six sixths or 1

Step-by-step explanation:

Hope this helps

Answer:

$0.55 for one can

Step-by-step explanation:

16 cans of lemonade = $8.80

1 can of lemonade = $8.80 / 16 = $0.55

Answer:

D

Step-by-step explanation:

-1/2m=-18

m=36

answer is D

Answer:

m = 36

Step-by-step explanation:

[tex]\frac{1}{3} m+3-\frac{5}{6}m=-15[/tex]

Combine like terms:

[tex](\frac{1}{3} m+(-\frac{5}{6}m)[/tex]

[tex](\frac{2}{6} m+(-\frac{5}{6}m)[/tex]

[tex]-\frac{3}{6}m = -\frac{1}{2} m[/tex]

[tex]-\frac{1}{2}m+3=-15[/tex]

Subtract 3 from each side:

[tex]-\frac{1}{2}m=-18[/tex]

Multiply each side by -2:

[tex]m = 36[/tex]

Step-by-step explanation:

Given -

x

2

=

8

y

It is a parabola opening up.

The general form of the equation of a parabola opening up is -

x

2

=

4

a

y

Answer:

3 hours and 45 minutes

Step-by-step explanation:

let's assume the tank has a volume of x liters.

let's assume the speed of filling it is x/6 liters per hour for A and x/10 liters per hour for B.

the formula to calculate the time is:

time = volume / speed

If the pumps work together, the total speed is x/6 + x/10, which is 16/60 x

So the time this takes is:

time = x / (16/60 x) = 60/16 hours = 3.75 hours = 3 hours and 45 minutes.

1. Each if them would get 20 fruits

[tex]23 + 37 = 60[/tex]

[tex]60 \div 3 = 20[/tex]

2. There should be 5 rows of tables needed to sit all the invited guests

On every row there would be 26 people, so then we need to divide 130 by 26 and we get 5. Then if we check, 26 times 5 equals 130.

Hope that helped:)

Answer:

D.    Graph c

Step-by-step explanation:

I got this answer correct on Gradpoint

Answer:

the answer is -Xax.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]x^4+7x^2-144=0\\x^4+16x^{2} -9x^{2} -144=0\\x^{2} (x^{2} +16)-9(x^{2} +16)=0\\(x^{2} +16)(x^{2} -9)=0\\(x^{2} -(-16))(x^{2} -3^2)=0\\(x^{2} -16 \iota^2)(x+3)(x-3)=0\\(x^{2} -(4\iota)^2)(x+3)(x-3)=0\\(x+4\iota)(x-4\iota)(x+3)(x-3)=0\\x=\pm4 \iota,\pm3[/tex]

Hey man! I understand why it might be a little frustrating with those bots. Recently there has been an upsurge with them. The moderators are dealing with it. Also the answer to the question is 28994137165

Answer:

37.5

Step-by-step explanation:

Answer:

if you remember the bell curve 32 32 13.5 13.5 2.35 2.35 and .15 put the mean in the middle of the bell curve we find that 13.5 + 2.35 + .15 so

16% is your probablility