Answer:
8
Step-by-step explanation:
Given:
Total money Jervane can spend = $20.
Cost of a coffee = $3.
Cost of a donut = $2.
To find: Maximum number of donuts Jervane can buy.
Solution:
Let the number of donuts she can buy be
.
She wants to spend no more than $20 in total.
So,
![3+2x\leq 20](https://tex.z-dn.net/?f=3%2B2x%5Cleq%2020)
![\Rightarrow 2x\leqslant 20-3](https://tex.z-dn.net/?f=%5CRightarrow%202x%5Cleqslant%2020-3)
![\Rightarrow 2x\leqslant 17](https://tex.z-dn.net/?f=%5CRightarrow%202x%5Cleqslant%2017)
![\Rightarrow x\leqslant \frac{17}{2}](https://tex.z-dn.net/?f=%5CRightarrow%20x%5Cleqslant%20%5Cfrac%7B17%7D%7B2%7D)
![\Rightarrow x\leqslant 8 \frac{1}{2}](https://tex.z-dn.net/?f=%5CRightarrow%20x%5Cleqslant%208%20%5Cfrac%7B1%7D%7B2%7D)
As the number of donuts can only be a natural number.
Hence, the maximum number of donuts that Jervane can buy are 8.
<span><span>5x−13=8−2x</span><span>5x-13=8-2x</span></span>
Move all terms containing <span>x</span> to the left side of the <span><span>equation.</span></span>
<span><span>7x−13=8</span><span>7x-13=8</span></span>
Move all terms not containing <span>x</span> to the right side of the equation.
<span><span>7x=21</span><span>7x=21</span></span>
Divide each term by <span>77</span> and simplify.
<span>x=<span>3</span></span>
Petunia seeds 40%, snapdragon seeds 42%, pansy seeds 45%.
5
Given:
Measure of exterior angle = 164°
The measure of opposite interior angles are x° and 53°.
To find:
The value of x.
Solution:
According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.
Using Exterior Angle Theorem, we get
![x^\circ+53^\circ=164^\circ](https://tex.z-dn.net/?f=x%5E%5Ccirc%2B53%5E%5Ccirc%3D164%5E%5Ccirc)
![x^\circ=164^\circ-53^\circ](https://tex.z-dn.net/?f=x%5E%5Ccirc%3D164%5E%5Ccirc-53%5E%5Ccirc)
![x^\circ=111^\circ](https://tex.z-dn.net/?f=x%5E%5Ccirc%3D111%5E%5Ccirc)
![x=111](https://tex.z-dn.net/?f=x%3D111)
Therefore, the value of x is 111.
Do you have multiple choice? If so maybe this is the answer : 5(2x^2+1)