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stiks02 [169]
3 years ago
13

the fourth term of an arithmetic sequence is 141, and the seventh term is 132. what is the first term?

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
7 0
The 1st, 4th, and 7th terms make an arithmetic sequence of their own. The 4th term is the average of the 1st and 7th, so ...
   (1st +7th)/2 = 4th
   1st + 7th = 2×4th
   1st = 2×4th - 7th

The first term is ...
   2*141 - 132 = 150
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How would you solve this problem.
Jet001 [13]
We can find h by calculating the area S of the parallelogram in two ways. We can write: S=18\cdot10. On the other hand, S=12\cdot h. Then:

18\cdot10=12\cdot h\\\\ 12h=180\\\\h=\dfrac{180}{12}\\\\\boxed{h=15}
7 0
2 years ago
I’m confused can someone explain?
Novay_Z [31]

Answer:

It is 150 percent

Step-by-step explanation:

You can find this value by dividing the numerator by the denominator, summing this value to the integer part and multiplying the result by 100%, so:

1 1/2 in percent = (1 + 1/2) × 100% =

(1 + 0.5) × 100% = 1.5 × 100% = 150%

Hope this helps! Sorry if I'm wrong.

3 0
2 years ago
Read 2 more answers
What is 1 2/4+-3 1/4?
Semmy [17]
The answer is 4 3/4.
7 0
2 years ago
3x + 5 and x=2, im having trouble understanding how im suppose to do this
velikii [3]
3x + 5 (first plug in 2 for x )

3(2) + 5 =
6 + 5 = 11

Hope this helps . Give brainliest
6 0
2 years ago
An ice cream shop sells cones at the volume of 94.2 cubic meters they want to double the volume of the cones without changing th
marin [14]
The volume of a cone is V=\pi r^2\frac{h}3 where r = radius and h = height. If the cone has a volume of 94.2 cm³ (I assume you didn't mean m³ because that would be ridiculously huge) and a height of 10 cm, we can plug these values into the formula to find the radius. Don't do any rounding.

94.2 = \pi r^2\frac{10}3 \\ 282.6 = \pi r^2 *10 \\ 28.26 = \pi r^2 \\ 8.99543738355 = r^2 \\ 2.99923946752=r

Now we know that's going to be the radius of our <em>new </em>cone as well since we're keeping the diameter the same. The volume is going to be double 94.2 which is 188.4. Let's solve for the height.

188.4 = \pi (2.99923946752)^2\frac{h}3 \\ 188.4 = \pi(8.99543738355)\frac{h}3 \\ 188.4 = 28.26\frac{h}3 \\ 565.2 = 28.26h \\\\ \boxed{h = 20, r\approx 3}
5 0
3 years ago
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