All categories

3 years ago

Abigail is 8 years older than Cynthia. Twenty years ago Abigail was three times as old as Cynthia. How old is each now?

Mathematics

2 answers:

koban [17]3 years ago

7 0

Hey!

A=32 years C=24 years

irina [24]3 years ago

5 0

A - age of Abigail
C - age of Cynthia

A = C + 8

A - 20 = 3 (C - 20)

A - 20 = 3C - 60

C + 8 - 20 = 3C - 60

C - 12 = 3C - 60 A = C + 8

2C = 48 A = 24 + 8

C = 24 years A = 32 years

You might be interested in

How many 5-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits is not allowed? a. 119 c. 2

Sergio [31]

1st digit 1 of 7 numbers

2nd digit 1 of 6 numbers

3rd digit 1 of 5 numbers

4th digit 1 of 4 numbers

5th digit 1 of 3 numbers

7*6*5*4*3 = 2520 combinations

3 0

3 years ago

Read 2 more answers

At a college the scores on the chemistry final exam are approximately normally distributed, with a mean of 75 and a standard dev

AysviL [449]

Answer:

b) Chemistry

Step-by-step explanation:

To compare both scored we need to standardize the scores using the following equation:

$\frac{x-m}{s}$

Where x is the score, m is the mean and s is the standard deviation. So, 82 on chemistry is equivalent to:

$\frac{82-75}{15}=0.4667$

Because the mean of the scores on the chemistry final exam is equal to 75 and the standard deviation is 15

At the same way, 80 on Calculus is equivalent to:

$\frac{80-83}{13} =-0.2308$

Because the mean of the scores on the calculus final exam is equal to 83 and the standard deviation is 13

Now, we can compare the values. So, taking into account that -0.2308 is lower than 0.4667, we can said that the student do better in Chemistry.

5 0

2 years ago

Which of the expressions are equivalent to the one below? Check all that apply 7 (6 + 3)

Alex_Xolod [135]

The answer is 63 because (6+3) is 9 so 7(9) is 63

3 0

3 years ago

20 POINTS!!!

murzikaleks [220]

Answer:

Option B

Step-by-step explanation:

As shown in the picture, g(x) is the red one which can be obtained by translating f(x) - the blue one toward +x-axis direction 4 units.

=> g(x) = f(x) + 4 = |x| + 4

6 0

3 years ago

Read 2 more answers

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = -x2 + 16x – 44?

KatRina [158]

Answer:

Only option D is one of the transformations needed.

Step-by-step explanation:

The graph of f(x)=x^2 is a positive parabola with x=0 as the zero in ordinates and also 0 as a zero x. This is, the graph passes in (0,0) and this is the only point it crosses both axis, then for every x value we will gave a positive f(x).

Here I attach a graph that shows both, f(x)=x^2 and g(x)=-x^2+16x-44.

As you can see, for transforming f(x) in g(x) we need to reflect it over the x axis, as g is open downwards. Then, as the quadratic term is still being x^2 we do not wide it (as you see in the graph both curves are equally widened).

Then, we can also see that the graph is shifted right, so we do not shift it left 8 units (notice that we shift it right 8 units).

So, after reflecting over the x axis and shifting right we need to shift it UP, as we can see the graph is over the x axis.

So, the three transformations needed are:

1. reflect over the x axis

2. shift right 8 units

3. shift up 20 units.

So, from the options you proposed we chose only d, to which we MUST add the transformations noted above.

Sorry for the mistake!

8 0

2 years ago

Read 2 more answers