Answer:
a+3
Step-by-step explanation:
You cannot go any further in answering this question. These two terms are not like terms so they cannot be combined. Therefore, the answer is just a+3 itself.
Answer:
![7\dfrac14$ yards](https://tex.z-dn.net/?f=7%5Cdfrac14%24%20yards)
Step-by-step explanation:
Regan needs the following:
yards for a dress
![\dfrac{1}{4}$ yards of contrasting fabric for the band at the bottom$\\4\dfrac{3}{4}$ yards for a coordinating jacket.](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7D%24%20yards%20of%20contrasting%20fabric%20for%20the%20band%20at%20the%20bottom%24%5C%5C4%5Cdfrac%7B3%7D%7B4%7D%24%20yards%20for%20a%20coordinating%20jacket.)
Total Length of fabric needed
![= 2\dfrac{1}{4}+\dfrac{1}{4}+4\dfrac{3}{4}\\=2+4+\dfrac{1}{4}+\dfrac{3}{4}+\dfrac{1}{4}\\=6+1+\dfrac{1}{4}\\=7\dfrac{1}{4}$ yards](https://tex.z-dn.net/?f=%3D%202%5Cdfrac%7B1%7D%7B4%7D%2B%5Cdfrac%7B1%7D%7B4%7D%2B4%5Cdfrac%7B3%7D%7B4%7D%5C%5C%3D2%2B4%2B%5Cdfrac%7B1%7D%7B4%7D%2B%5Cdfrac%7B3%7D%7B4%7D%2B%5Cdfrac%7B1%7D%7B4%7D%5C%5C%3D6%2B1%2B%5Cdfrac%7B1%7D%7B4%7D%5C%5C%3D7%5Cdfrac%7B1%7D%7B4%7D%24%20yards)
The number of yards of 45-in. fabric needed is ![7\dfrac14$ yards.](https://tex.z-dn.net/?f=7%5Cdfrac14%24%20yards.)
This is a standard relationship/systems of equations question. Here is how you attack it. Firstly, set up equations to represent the relationships. Ed = 4*Kim That shows that Ed has four times as many pins as Kim. Next, we see that the two have 25 together. So: Ed + Kim = 25 Now we have our two equations. In order to solve, we need to get one of the equations down to one variable. We can achieve this via substitution. The first equation tells us that we can substitute 4*Kim for Ed (in the second equation). So, let's do just that: 4*Kim + Kim = 255*Kim = 25Kim = 5 Using the first equation again, we can solve for Ed: Ed = 4*KimEd = 4*(5)<span>Ed = 20</span>
Answer: The length of CU is 117 units.
Step-by-step explanation:
Given: ΔWCD≈ΔWUV
We know that if two triangles are similar, then their corresponding sides are proportional.
∴ ![\frac{WU}{WC}=\frac{WV}{WD}](https://tex.z-dn.net/?f=%5Cfrac%7BWU%7D%7BWC%7D%3D%5Cfrac%7BWV%7D%7BWD%7D)
![\frac{36x-1}{26}=\frac{110}{20}\\\Rightarrow\ 36x-1=\frac{11}{2}\times26\\\Rightarrow36x-1=143\\\Rightarrow\ 36x=143+1\\\Rightarrow\ 36x=144\\\Rightarrow\ x=4](https://tex.z-dn.net/?f=%5Cfrac%7B36x-1%7D%7B26%7D%3D%5Cfrac%7B110%7D%7B20%7D%5C%5C%5CRightarrow%5C%2036x-1%3D%5Cfrac%7B11%7D%7B2%7D%5Ctimes26%5C%5C%5CRightarrow36x-1%3D143%5C%5C%5CRightarrow%5C%2036x%3D143%2B1%5C%5C%5CRightarrow%5C%2036x%3D144%5C%5C%5CRightarrow%5C%20x%3D4)
∴ WU=![36(4)-1=143](https://tex.z-dn.net/?f=36%284%29-1%3D143)
Also , WU=WC+CU
⇒CU=WU-WC
⇒CU=143-26=117 units