I think the correct answer from the choices listed above is the last option. The axiom that allows x(10) to be written 10x would be the commutative property of multiplication. It <span>states that numbers can be added or multiplied in any order. Hope this answers the question. Have a nice day.</span>
3 consecutive even integers.....x, x + 2, and x + 4
1/2(x + 2 + x + 4) = 65....multiply both sides by 2, canceling out 1/2
x + 2 + x + 4 = 65 * 2
2x + 6 = 130
2x = 130 - 6
2x = 124
x = 124/2
x = 62
x + 2 = 62 + 2 = 64
x + 4 = 62 + 4 = 66
so ur numbers are : 62,64,66 <==
Answer:
15 and 27
Step-by-step explanation:
let the smaller number be n then the larger number is n + 12 and
n + n + 12 = 42, that is
2n + 12 = 42 ( subtract 12 from both sides )
2n = 30 ( divide both sides by 2 )
n = 15
and n + 12 = 15 + 12 = 27
The 2 numbers are 15 and 27
Answer:
![\boxed{ \sf{1. \: \: \: \: 46.67}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%7B1.%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%2046.67%7D%7D)
![\boxed{ \sf{2. \: \: \: \: 41.67\%}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%7B2.%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%2041.67%5C%25%7D%7D)
![\boxed{ \sf{3. \: \: \: \: 0.375}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%7B3.%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%200.375%7D%7D)
![\boxed{ \sf{4. \: \: \: \: 120}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%7B4.%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20120%7D%7D)
Step-by-step explanation:
1. Let the number be x
![\sf{15\% \: of \: x = 7}](https://tex.z-dn.net/?f=%20%5Csf%7B15%5C%25%20%5C%3A%20of%20%5C%3A%20x%20%3D%207%7D)
![\dashrightarrow{ \sf{ \frac{15}{100}x = 7}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B15%7D%7B100%7Dx%20%3D%207%7D%7D%20)
![\dashrightarrow{ \sf{0.15x = 7}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B0.15x%20%3D%207%7D%7D)
![\dashrightarrow{ \sf{x = \frac{7}{0.15}}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7Bx%20%3D%20%20%5Cfrac%7B7%7D%7B0.15%7D%7D%7D)
![\dashrightarrow{ \sf{46.67}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B46.67%7D%7D)
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2. Let the percent be x %
![\sf{x\% \: of \: 60 = 25}](https://tex.z-dn.net/?f=%20%5Csf%7Bx%5C%25%20%5C%3A%20of%20%5C%3A%2060%20%3D%2025%7D)
![\dashrightarrow{ \sf{ \frac{x}{100} \times 60 = 25}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B%20%5Cfrac%7Bx%7D%7B100%7D%20%20%5Ctimes%2060%20%3D%2025%7D%7D)
![\dashrightarrow{ \sf{ \frac{60}{100}x = 25}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B60%7D%7B100%7Dx%20%3D%2025%7D%7D%20)
![\dashrightarrow{ \sf{0.6x = 25}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B0.6x%20%3D%2025%7D%7D)
![\dashrightarrow{ \sf{x = \frac{25}{0.6} }}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7Bx%20%3D%20%20%5Cfrac%7B25%7D%7B0.6%7D%20%7D%7D)
![\dashrightarrow{ \sf{41.67\%}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B41.67%5C%25%7D%7D)
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3. ![\sf{0.15\% \: of \: 250}](https://tex.z-dn.net/?f=%20%5Csf%7B0.15%5C%25%20%5C%3A%20of%20%5C%3A%20250%7D)
![\dashrightarrow{ \sf{ \frac{0.15}{100} \times 250}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B0.15%7D%7B100%7D%20%20%5Ctimes%20250%7D%7D)
![\dashrightarrow{ \sf{0.375}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B0.375%7D%7D)
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4. Let the number be x
![\sf{250\% \: of \: x = 300}](https://tex.z-dn.net/?f=%20%5Csf%7B250%5C%25%20%5C%3A%20of%20%5C%3A%20x%20%3D%20300%7D)
![\dashrightarrow{ \sf{ \frac{250}{100} \times x = 300}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B250%7D%7B100%7D%20%20%5Ctimes%20x%20%3D%20300%7D%7D)
![\dashrightarrow{ \sf{2.5x = 300}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B2.5x%20%3D%20300%7D%7D)
![\dashrightarrow{ \sf{x = \frac{300}{2.5} }}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7Bx%20%3D%20%20%5Cfrac%7B300%7D%7B2.5%7D%20%7D%7D)
![\dashrightarrow{ \sf{x = 120}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7Bx%20%3D%20120%7D%7D)
Hope I helped!
Best regards! :D