2 2/3 × 4 = 10 2/3
Conner needs 10 2/3 cups of milk.
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4 because doubled it equals eight, add four it equals twelve, subtract four it equals eight, subtract three and it equals five.
Answer:
The answer of the given expression is
.
Step-by-step explanation:
Given
.
Step 1 : Firstly we have to solve for brackets, adding the fraction with digits. For this we have to multiply 3 and 2 by 2 by 2 which gives the same denominator.
![\frac{4^2}{2}+3+2=\frac{16}{2}+3+2\\\frac{16}{2}+\frac{3\times2}{2}+\frac{2\times2}{2}= \frac{16}{2}+\frac{6}{2}+\frac{4}{2}=\frac{26}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5E2%7D%7B2%7D%2B3%2B2%3D%5Cfrac%7B16%7D%7B2%7D%2B3%2B2%5C%5C%5Cfrac%7B16%7D%7B2%7D%2B%5Cfrac%7B3%5Ctimes2%7D%7B2%7D%2B%5Cfrac%7B2%5Ctimes2%7D%7B2%7D%3D%20%5Cfrac%7B16%7D%7B2%7D%2B%5Cfrac%7B6%7D%7B2%7D%2B%5Cfrac%7B4%7D%7B2%7D%3D%5Cfrac%7B26%7D%7B2%7D)
Step 2 : Fraction under the brackets is solved now we have to multiply the result with 3 to remove the brackets.
![\frac{26}{2}\times3=\frac{78}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B26%7D%7B2%7D%5Ctimes3%3D%5Cfrac%7B78%7D%7B2%7D)
Step 3 : Now we have an expression with same denominator, here simply add and we get the result.
![\frac{7^2}{2}+\frac{78}{2}=\frac{49}{2}+\frac{78}{2}=\frac{127}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B7%5E2%7D%7B2%7D%2B%5Cfrac%7B78%7D%7B2%7D%3D%5Cfrac%7B49%7D%7B2%7D%2B%5Cfrac%7B78%7D%7B2%7D%3D%5Cfrac%7B127%7D%7B2%7D)
Hence the solution for given expression is
.
Answer:
A=60 C
Step-by-step explanation:
Answer/Step-by-step explanation:
1. Side CD and side DG meet at endpoint D to form <4. Therefore, the sides of <4 are:
Side CD and side DG.
2. Vertex of <2 is the endpoint at which two sides meet to form <2.
Vertex of <2 is D.
3. Another name for <3 is <EDG
4. <5 is less than 90°. Therefore, <5 can be classified as an acute angle.
5. <CDE is less than 180° but greater than 90°. Therefore, <CDE is classified as an obtuse angle.
6. m<5 = 42°
m<1 = 117°
m<CDF = ?
m<5 + m<1 = m<CDF (angle addition postulate)
42° + 117° = m<CDF (Substitution)
159° = m<CDF
m<CDF = 159°
7. m<3 = 73°
m<FDE = ?
m<FDG = right angle = 90°
m<3 + m<FDE = m<FDG (Angle addition postulate)
73° + m<FDE = 90° (Substitution)
73° + m<FDE - 73° = 90° - 73°
m<FDE = 17°