5 inches is bigger than 1/3 foot OR 1/3 foot is lesser than 5 inches. That is, 1/3 foot < 5 inches
4 miles is bigger than 7000 yards. That is, 4 miles > 7000 yards
8 yards is equal to 24 feet. That is, 8 yards = 24 feet
<h3>Calculating the value of a quantity </h3>
From the question, we are to determine which of the given quantities are bigger or equal
NOTE: 1 foot = 12 inches
If 1 foot = 12 inches
Then,
1/3 foot = 1/3 × 12
1/3 foot = 4 inches
∴ 5 inches is bigger than 1/3 foot. That is, 1/3 foot < 5 inches
NOTE: 1 mile = 1760 yards
If 1 mile = 1760 yards
Then,
4 miles = 4 ×1760 yards
4 miles = 7040 yards
Hence, 4 miles is bigger than 7000 yards. That is, 4 miles > 7000 yards
NOTE: 1 yard = 3 feet
If 1 yard = 3 feet
Then,
8 yards = 8 × 3 feet
8 yards = 24 feet
Hence, 8 yards is equal to 24 feet. That is, 8 yards = 24 feet
Learn more on Calculating the values of quantities here: brainly.com/question/400890
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1. Slope intercept form is y=mx+b, where m is slope and b is y-intercept.
It gave you point (8,12) and slope of -2.
So you already know the value of m, so so far it's y = -2x + b.
Plug the coordinates as x and y: 8 for x and 12 for y.
12 = -2(8) + b
12 = -16 + b
28 = b
Adding b in, you get y = -2x + 28
2. Find the slope, then use point-slope form.
Slope is change in y over change in x, or (y2-y1)/(x2-x1).
m = (9-1)/(2-3) = 8/(-1) = -8
Point slope form: y - y1 = m(x - x1)
y - y1 = -8(x - x1)
Now plug in either of the coordinates as x1 and y1, let's do (3,1).
y - 1 = -8(x - 3)
y - 1 = -8x + 24
y = -8x + 25
3. Do it the same way as number 2. Choose two points, for example (1,1) and (2,-2). You find m = -3 and get final answer as y=-3x + 4.
4. B = 150 + 80d
B is account balance, d is number of monthly deposits.
If you rearrange the terms: B = 80d + 150, you see that that is in slope-intercept form y = mx+b, and if you remember from #1 m is the slope. In this case, the variables are changed, so d is the slope here. And the question told you that d, the slope, is the number of monthly deposits. Its coefficient is 80, so Bianca deposits $80/month.
<span>5. </span>
14a + 16b = 560
16b = 560 - 14a
b = (560 - 14a)/16
b = 560/16 - 14a/16
b = 35 - (7/8)a
<span>b = -(7/8)a + 35</span>
T- Triangle sum and Third angles theorems
R- Right Triangle
I- Isosceles Triangle
A- Acute Angles
N- n-fold rotation symmetry for "E" triangles
G- Geometry
L- Legs of a triangle
E- Equilateral and Equiangular Triangles
Answer:
Terms are 2 , 3 , 7 , 31
Step-by-step explanation:
1) given a1 = 2
an+2 = 2(an) -1
put n = 1
a1 + 2 = 2a1 -1
put value of a1 in above
you'll get a3 = 2² -1
a3 = 4-1
a3 = 3
put n = 3
a3 + 2 = 2a3 -1
a5 = 2³-1
a5 = 8-1
a5 = 7
put n = 5
a5 + 2 = 2a5 -1
a7 = 2⁵ -1
a7 = 32 -1
a7 = 31
Hope you got it.
Similarly you can find 2nd one's term t23
tn = 5*n -4
here n = 23
t23 = 5 * 23 - 4
t23 = 115 -4
t23 = 111
Hope this helps you.
Answer:
Hope this will help you
Step-by-step explanation:
