18 units of whatever the measure is
Answer:
yes ! it's a rational number.
Step-by-step explanation:
<em>The square root of 16 is 4, which is an integer, and therefore rational.</em>
<em>H</em><em>o</em><em>p</em><em>e</em><em> </em><em>it'll</em><em> </em><em>help</em><em>!</em>
<em>s</em><em>t</em><em>a</em><em>y</em><em> </em><em>safe</em><em>:</em><em>)</em>
We can use the distribution method for both sides:
9 (x+2) = 5 - 2( x - 1 )
9x + 18 = 5 -2x + 2
Move like terms to one side and combine:
9x + 2x = 5+2-18.
11x = -11
x = -1.
Given:
baked: 6 <span>cookies and 4 brownies
can bake 25 more either </span><span>cookies or brownies
</span><span>Let x represent the number of more cookies that Midge can bake
Let y represent the number of more brownies that Midge can bake.
cookies = 6 + x
brownies = 4 + y
(6 + x) + (4 +y) </span>≤ 25
10 + x + y ≤ 25
x + y ≤ 25 - 10
x + y ≤<span> 15
y </span>≤ <span>15 - x
</span><span>The following graphs best represents the relationship between x and y is:
</span>
<span>line joining ordered pair 0, 15 and 7, 8 and the region below this line which lies in the first quadrant is shaded</span><span>
</span>
let's firstly conver the mixed fractions to improper fractions and then get their product.
![\stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} ~\hfill \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{2}\cdot \cfrac{5}{2}\cdot 6\implies \cfrac{270}{2}\implies 135](https://tex.z-dn.net/?f=%5Cstackrel%7Bmixed%7D%7B4%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B4%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B9%7D%7B2%7D%7D%20~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B5%7D%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B9%7D%7B2%7D%5Ccdot%20%5Ccfrac%7B5%7D%7B2%7D%5Ccdot%206%5Cimplies%20%5Ccfrac%7B270%7D%7B2%7D%5Cimplies%20135)
hmmm I take it that one can write that mixed as
.
is valid, not that it makes any sense.