The sum of the ages of a woman and her
son is 64 years. In 4 years time the woman
will be three and half times as old as her
son. How old were they three years ago?

Answer:  They are the same equivalent price, $0.95/liter.

Step-by-step explanation:

Choices:  $3.58 per gallon, or $3.79 for 4 L.

========

We need to convert one of the volumes.  I'll convert gallons to liters.

By definition, 1 gallon = 3.785 liters

Make this into a conversion factor:

We can make it either:

1)   (3.785 liters/gallon), or

2)  (1 gallon/3.785 liters)

Now convert the $3.58/gallon into dollars/liter.  We'll use the second conversion factor so that gallons cancels out when we multiply:

($3.58/gallon)*(1 gallon/3.785 liters) = $0.95/liter.

The grocery store milk must also be converted to a price expressed per 1 liter:

$3.79 for 4 L

= $0.95/liter.

They are the same equivalent price, $0.95/liter.

Answer:

A. 5/6

Step-by-step explanation:

Since our denominators match, we can add the numerators.

3 + 7 = 10

So 10/12 the answer but simplified would give 5/6

Answer:

65

Step-by-step explanation:

c=a2+b2=332+562=65

Answer:

Step-by-step explanation:

Answer:

18.725

Step-by-step explanation:

4 5/8 = (4*8 + 5) /8 = 37/8

10 7/10 = (10*10 + 7) / 10 = 107/10

3 2/5 = (3*5 + 2) / 5 = 17/5

lcm of 8, 10, 5 is 40

37/8 + 107/10 - 17/5

= (37*5 + 107*4 - 17*8) / 40

= (185 + 428 + 136) / 40

= 749/40

= 18.725

Answer:

x = 6

Step-by-step explanation:

When parallel lines are intersected by a transversal

alternate exterior angles are congruent

Therefor

15(x + 2) = 120

Divide both sides by 15

x + 2 = 8

Subtract 2 from both sides

x = 6

Answer:

Step-by-step explanation:

here 120 degrees would be the same as 15(x+2)

Just like how angle R on the other side of 120 Degrees is the same

so 15(x+2) = 120 degrees

let us distribute

15x +30 = 120

      -30     -30

15x=90

15x/15=90 /15

x=6

so what you have selected is correct

Answer:

im pretty sure its 4!

Step-by-step explanation:

56/4=14

92/4= 23

and i dont think there are any greater numbers that factor into both 56 and 92

hope this helps!

Answer:

4

Step-by-step explanation:

1) Draw factor trees - split numbers into smaller numbers, circle any prime numbers

2) Draw a venn diagram

3) Any circled prime numbers that are the same go in the middle column.

4) Any remaining numbers go in the left or right circle.

5) GCF = multiply everything in middle column.

Hope this made sense! <3

Answer:

x<4 hope it helps and it's correct

x <4 thats the answer ok

Answer:

  all real numbers except x=8

Step-by-step explanation:

There is apparently a vertical asymptote at x = 8. The function is not defined for that value of x, but is defined everywhere else.

  The domain is all real numbers except x=8.

  In interval notation: (-∞, 8) U (8, ∞)

19/50

llllllllllllllllllllllllllllllllllllllllllllllllllllllllllll

Answer:

Oranges :100 pound

Apples : 250 pound

Step-by-step explanation:

A fruit market must spend less than $225 for an order of peaches and mangoes. A pound of peaches costs $0.50 and a pound of mangoes costs $0.75. This relationship is shown in the graph. The market needs at least 50 more pounds of peaches than mangoes. Which choice is a reasonable solution?

=========

0.5p + 0.75m <= 225

p = m + 50

-------------------

Substitute for "p" and solve for "m"::

0.5(m+50) + 0.75m <= 255

0.5m + 25 + 0.75m <= 255

2.25m <= 325

---

m <= 144.44

--------------------

# of oranges : 100 pound

# of pound of apples: m+50 = 250 pound

Hope you understand :)

Pls mark me as brainiest

Answer:

Answer choice C should be more Resonable.

Step-by-step explanation: It is very obvious

because you are spending less than $225 and when it says at least 50 more it means that 50 is the bare minimum so the ideal choice is 150 more apples than oranges and likely the oranges will be 100 and aples will be 250 and you won't spend over $225.  

29293

Step-by-step explanation:

yes yes !!

Answer:

Step-by-step explanation:

f(x)=3x + 4. (6) g(x) = x2 +. 1 x.

Answer:

[tex]y= -\frac76x +1[/tex]; [tex]y= \frac67x -\frac{78}7[/tex]

Step-by-step explanation:

We know from theory that two perpendicular lines have the product of their slope equal to -1. Let's find the second slope:

[tex]\frac67m = -1 \rightarrow m=-\frac76[/tex]

At this point we can just use the slope-point equation to get our first line:

[tex]y-y_0 = m(x-x_0)\\y-(-6) = -\frac76(x-6) \\y+6= -\frac76x +7\\y= -\frac76x +1[/tex]

Now, we know that two parallel lines have the same slope. Time to apply the same point-slope formula, with the original m this time.

[tex]y-(-6) = \frac67(x-6)\\y+6 = \frac67x -\frac{36}7\\y= \frac67x -\frac{36}7 -{\frac{42}7[/tex]

[tex]y= \frac67x -\frac{78}7[/tex]

Answer:

Step-by-step explanation:

86400/3600=24 fps

Answer:

There are 24 frames per second.

Step-by-step explanation:

Hi there!

We're given:

1 hour ⇒ 86,400 frames

1 hour ⇒ 3600 seconds

To find the number of frames per second, divide 86,400 by 3600 seconds:

86,400 ÷ 3600 = 24

I hope this helps!

Answer:

4.0833333

Step-by-step explanation:

PLZ give brainliest thanks

Answer:

-3/5

Step-by-step explanation:

Answer:

  y = K/(16z)

Step-by-step explanation:

  [tex]K=16yz\qquad\text{given}\\\\\boxed{y=\dfrac{K}{16z}}\qquad\text{divide by the coefficient of y}[/tex]

Answer

y=1/4x

Step-by-step explanation:

2-1/8-4=1/4

Choose either of these points ( I will use 4,1 becuase it's easier)

1=1/4(4)=b

1=1+b

0=b

y=1/4x (you don't put the zero)

8 is the correct answer. By the way, Thank you for the few extra points.. It is very appreciated.

Answer:

y =-1

Step-by-step explanation:

An easy way to answer any type of these questions is looking at the part where it said "Write the equation of a horizontal line", if this is the case you have to look at the 2nd point given to you which is -1 and simply make y = to that. Having y = -1 covers every possible x value which is why it is valid.

Answer:

-20%

Step-by-step explanation:

Current value of an item and divide it by the value from an earlier period. Subtract one and multiply the resulting number by 100 to give it a percentage representation.

ROC = (current value/previous value​ − 1) x 100

ROC = (1,000,000/1,250,000 - 1) x 100

ROC = (0.8 - 1) x 100

ROC = -0.2 x 100

ROC = -20

You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :

1. AB is the hypotenuse, so, according to the theorem we can write :

AB² = AC² + CB²

c² = 5² + 4²

c²= 25 + 16

c² = 41

applying the square root of 41 we get :

c ≈ 6.40 rounded to the hundred

The next cases are exactly the same thing so there is no need for explanation :

2.

AB is the hypotenuse here because it is the biggest side clearl :

AB² = AC² + CB²

25² = 15² + b²

Thus

b² = 25² - 15²

we just subtracted 15² on each side of the equation

b² = 625 - 225

b² = 400

applying the square root of 400 we get

b = √400 = 20

So AC = 20

3. The longest side is clearly AB = 60

So

AB² = AC² + CB²

60² = 40² + a²

subtracting 40² on each side of the equation we get :

a² = 60² - 40²

I let you finish this using your calculator and doing exactly like the previous cases

4.

AB is the hypotenuse,

AB² = AC² + CB²

23² = b² + 14²

Subtracting 14² from each side of the equation we get

b² = 23² - 14²

5.

AB is the biggest side :

AB² = AC² + CB²

29² = 23² + a²

We subtract 23² on each sides of the equation :

a² = 29² - 23²

You can finish with your calculator

6.

AB² = AC² + BC²

78² = b² + 30²

subtraction...

b² = 78² - 30²

Good luck :)

Step-by-step explanation:

6/2 (1+2) = 3(3) = 9.

hope this helps you.

Answer:

9

Step-by-step explanation:

First you need to multiply 6/2 or 3 by the numbers in the ( ) 6/2 x 1 and 6/2 x 2. You will get 3 and 6. 3+6= 9

Answer:

x = -1/11.

Step-by-step explanation:

I am interpreting this as:

(2x+4)/ 3 - (5x-7)/2 = 5

Multiply through by the LCM of 2 and 3 ( that is 6):

2(2x + 4) - 3(5x - 7) = 30

4x - 15x + 8 +21 = 30

-11x = 30 - 21 - 8

-11x = 1

x = -1/11.

Answer:

5<6 so tbh I have no idea what this is I just need point