A) The age of Theresa is 10 years 6 months old
B) Jonathan age is 24 years and 6 months old
<u>Solution:</u>
Given, Theresa is 14 years younger than her brother Jonathan.
Let the age of Theresa be "n" years
Then the age of Jonathan will be "n + 14" years
Together, their total age in years is 35
<em><u>A) Finding age of Theresa:</u></em>
Jonathan age + Theresa age = 35
n + 14 + n = 35
2n + 14 = 35
2n = 35 - 14
2n = 21
n = 10.5
So, age of Theresa is 10 years 6 months
<em><u>B) Finding age of Jonathan</u></em>
Now, we know that n = 10.5
Then Jonathan age = n + 14 = 10.5 + 14 = 24.5 years
So, Jonathan is 24 years and 6 months old
Answer:
The answer is 672.
Step-by-step explanation:
To solve this problem, first let's find the surface area of the rectangular prism. To do that, multiply each dimension with each (times 2 | just in case you don't understand [what I'm talking about is down below]).
8 x 8 x 2 = 128
8 x 11 x 2 = 176
8 x 11 x 2 = 176
Then, add of the products together to find the surface area of the rectangular prism.
176 + 176 + 128 = 480
Now, let's find the surface area of the square pyramid. Now, for this particular pyramid, let's deal with the triangles first, then the square. Like we did with the rectangular prism above, multiply each dimension with each other (but dividing the product by 2 | in case you don't understand [what i'm talking about is down below]).
8 x 8 = 64.
64 ÷ 2 = 32.
SInce there are 4 triangles, multiply the quotient by 4 to find the surface area of the total number of triangles (what i'm talking about is down below).
32 x 4 = 128.
Now, let's tackle the square. All you have to do is find the area of the square.
8 x 8 = 64.
To find the surface area of the total square pyramid, add both surface areas.
128 + 64 = 192.
Finally, add both surface areas of the two 3-D shapes to find the surface area of the composite figure.
192 + 480 = 672.
Therefore, 672 is the answer.
Answer:
yes 1/3 5 isb don't ehejdvduvrjdvdjrnrrjr didojdgovrodb
9514 1404 393
Answer:
y = 4/5x +13/5
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (5 -1)/(3 -(-2)) = 4/5
The y-intercept is given by the formula ...
b = y -mx . . . . for any point (x, y)
b = 1 -(4/5)(-2) = 1 +8/5 = 13/5 . . . . using the first point
So, the equation is ...
y = mx +b
y = 4/5x +13/5
_____
<em>Additional comment</em>
If you have a bunch of these to do, you may want to make a spreadsheet with the formulas built in. Then you can type in the two points and have it spit out the m and b for your equation. Even if you don't use it to <em>do</em> the work, you can use it to <em>check</em> the work.
Answer:
The answer is D. Multiply the previous value by 3.
Step-by-step explanation:
