Answer: 8
Step-by-step explanation:
Let the number be represented by x.
Two less than three times a number is the same as six more than twice the number. This will be:
(3 × x) - 2 = (2 × x) + 6
3x - 2 = 2x + 6
Collect like terms.
3x - 2x = 6 + 2
x = 8.
The number is 8
Statements:
1. m<DHF = m<EHG
2. m<1 = m<1
3. m<2 + m<1 = m<DHE
m<3+ m<1 = m<EHG
4. m<2 + m<1 = m<3 + m<1
5. m<2 = m<3
Reasons:
1. Given
2. reflective property
3. Angle addition postulate
4. substitution
5. subtraction property of equality
Answer:
b and d
Step-by-step explanation:
i think its d i couldnt read the story so if im wrong i am terriably sorry.
the answer is 21/77 because you multiplied 11 by 7 to get 77, you multiply 7 by which gives you 21/77
Answer:
<h2>The rink occupies 69% of the whole park, approximately, which is equivalent to 280/408.</h2>
Step-by-step explanation:
To solve this problem, we need to find the number which express the whole park.
Notice that the park is divided in two sections, one occupies 5/8 of the total, and the other occupies 2/7 of the total. So, the sum would be
![\frac{5}{8}+\frac{2}{7}=\frac{35+16}{56} =\frac{51}{56}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D%2B%5Cfrac%7B2%7D%7B7%7D%3D%5Cfrac%7B35%2B16%7D%7B56%7D%20%3D%5Cfrac%7B51%7D%7B56%7D)
Now we have the total space there, we need to divide 5/8 by 51/56, so
![\frac{5}{8} \div \frac{51}{56}=\frac{5}{8} \times \frac{56}{51}=\frac{280}{408} \approx 0.69](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D%20%5Cdiv%20%5Cfrac%7B51%7D%7B56%7D%3D%5Cfrac%7B5%7D%7B8%7D%20%5Ctimes%20%5Cfrac%7B56%7D%7B51%7D%3D%5Cfrac%7B280%7D%7B408%7D%20%5Capprox%200.69)
Therefore, the rink occupies 69% of the whole park, approximately, which is equivalent to 280/408.