The larger of two numbers is 11 more *than the smaller.
x=y+11
When added together, the sum of the larger number and five times the smaller number is 167.
x+5y=167
substitute x=y+11 into the sum:
(y+11)+5y=167
6y=156
y=26 (smaller number)
x=y+11
=26+11
=37 (larger number)
15x^3-6x^2-35x+14 it that doesn’t work try mathaway
The miles previously covered by algae is 6 miles
let m represent the miles of the coastline covered by algae before the clean-up
fraction of miles covered after the clean-up =
x m = ![\frac{1}{3}m](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dm)
miles covered after the clean-up = 2 miles
= 2 miles
to determine the value of m, make m the subject of the formula.
To do this, take the following step :
multiply both sides of the equation by 2
m = 2 miles x 3
m = 6 miles
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The measure of the side PR in PQR is 8.07 units and the measure of angle J in JKL is 35.30 degree.
<h3>What is the triangle?</h3>
The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
Applying cos law in the triangle PQR:
![\rm PR = \sqrt{5^2+9^2-2(5)(9)cos63}](https://tex.z-dn.net/?f=%5Crm%20PR%20%3D%20%5Csqrt%7B5%5E2%2B9%5E2-2%285%29%289%29cos63%7D)
PR = 8.07 units
Applying sin law in the triangle, JKL:
![\rm Angle \ J = sin^{-1}[sin 52 \ (\dfrac{11}{15})]](https://tex.z-dn.net/?f=%5Crm%20Angle%20%5C%20J%20%3D%20sin%5E%7B-1%7D%5Bsin%2052%20%5C%20%28%5Cdfrac%7B11%7D%7B15%7D%29%5D)
Angle J = 35.30 degree
Thus, the measure of the side PR in PQR is 8.07 units and the measure of angle J in JKL is 35.30 degree.
Learn more about the triangle here:
brainly.com/question/25813512
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Answer:
-310, -1.5, 2, 25, 210
Step-by-step explanation:
Hope that helps