Answer:
1,050
Step-by-step explanation:
Simple Interest = Principle×Rate×Time/100
=6,000×5×3.5/100
=1,050
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
![\frac{y}{x} =k\ or\ y=kx](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%20%3Dk%5C%20or%5C%20y%3Dkx)
In this problem
Let
x--------> the number of cans
y-------> the cost of a soup
so
when
![x=4\ cans\\y=\$3](https://tex.z-dn.net/?f=x%3D4%5C%20cans%5C%5Cy%3D%5C%243)
substitute
![\frac{y}{x} =k\\\\ \frac{3}{4} =k](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%20%3Dk%5C%5C%5C%5C%20%5Cfrac%7B3%7D%7B4%7D%20%3Dk)
the equation is
![y=\frac{3}{4}x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B4%7Dx)
using a graph tool
see the attached figure
the answer in the attached figure
Answer:
9.6 mi
Step-by-step explanation:
in right triangle ABC,
AC = 16 mi
BC = 24 mi
If AM is the median, then CM = MB = 12 mi
Consider triangles CAM and EBM. In these triangles,
- angles CMA and EMB are congruent as vertical angles;
- angles ACM and MEB are congruent as right angles.
So, triangles CAM and EBM are similar by AA postulate.
Similar triangles have proportional corresponding sides, so
![\dfrac{CA}{EB}=\dfrac{CM}{EM}\\ \\\dfrac{16}{EB}=\dfrac{12}{EM}\\ \\EM=\dfrac{3}{4}EB](https://tex.z-dn.net/?f=%5Cdfrac%7BCA%7D%7BEB%7D%3D%5Cdfrac%7BCM%7D%7BEM%7D%5C%5C%20%5C%5C%5Cdfrac%7B16%7D%7BEB%7D%3D%5Cdfrac%7B12%7D%7BEM%7D%5C%5C%20%5C%5CEM%3D%5Cdfrac%7B3%7D%7B4%7DEB)
By the Pythagorean theorem,
![MB^2=EB^2+EM^2\\ \\12^2=EB^2+\left(\dfrac{3}{4}EB\right)^2\\ \\144=EB^2+\dfrac{9}{16}EB^2\\ \\EB^2\left(1+\dfrac{9}{16}\right)=144\\ \\EB^2\cdot \dfrac{25}{16}=144\\ \\EB^2=144\cdot \dfrac{16}{25}\\ \\EB=12\cdot \dfrac{4}{5}\\ \\EB=\dfrac{48}{5}\\ \\EB=9.6\ mi](https://tex.z-dn.net/?f=MB%5E2%3DEB%5E2%2BEM%5E2%5C%5C%20%5C%5C12%5E2%3DEB%5E2%2B%5Cleft%28%5Cdfrac%7B3%7D%7B4%7DEB%5Cright%29%5E2%5C%5C%20%5C%5C144%3DEB%5E2%2B%5Cdfrac%7B9%7D%7B16%7DEB%5E2%5C%5C%20%5C%5CEB%5E2%5Cleft%281%2B%5Cdfrac%7B9%7D%7B16%7D%5Cright%29%3D144%5C%5C%20%5C%5CEB%5E2%5Ccdot%20%5Cdfrac%7B25%7D%7B16%7D%3D144%5C%5C%20%5C%5CEB%5E2%3D144%5Ccdot%20%5Cdfrac%7B16%7D%7B25%7D%5C%5C%20%5C%5CEB%3D12%5Ccdot%20%5Cdfrac%7B4%7D%7B5%7D%5C%5C%20%5C%5CEB%3D%5Cdfrac%7B48%7D%7B5%7D%5C%5C%20%5C%5CEB%3D9.6%5C%20mi)
The planes speed would be 560 miles/hour.
If you divide 3360 by 6 = 560
In 10 hours the plane would travel 5,600 miles.
560 x 10 = 5600
25 because 25x5=125. So there would be 25 books on each shelf. Hope this helps! :)