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gtnhenbr [62]
3 years ago
11

Tony is 8 years old. His sister Anna is 4 years less than twice his age. Write a numerical expression for Anna’s age.

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0

Answer:

Anna:2(8)-4

tony=8

anna=2(8)-4

twice of tony's age is 2(8), and it also said 4 years less than.

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The sum of the angle measures of a quadrilateral is 360°. Write and solve an equation to find the value of x.
Leokris [45]

Given: The shape is a quadrilateral, which means four angles with a sum of 360°. The known measures are 112 and 73, and there are two unknown measures. They are probably identical, considering the fact that they both have the variable x.

Numerically, this would be 112 + 73 + x + x = 360.

Simplify.

(112 + 73) + (x + x) = 360

--> 185 + 2x = 360

Isolate the variable by subtracting 185 from both sides.

2x = 360 - 185

--> 2x = 175

If 175 is twice as much as x, then x = \frac{175}{2}

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Plug in the value of x:

112 + 73 + 2(87.5) = 360

--> 185 + 175 = 360

X has an angle measure of 87.5°

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2 years ago
I need help with number 8 ASAP
WARRIOR [948]

Answer:

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4 0
3 years ago
Suppose that w and t vary inversely and that t = 5/12
Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that w varies Inversely with t thus generally speaking w∝\frac{1}{t}  since they are inverted, <u>otherwise</u> if they were proportionally varied then w∝t. This means that there is a constant value ( a ) for which w is inversely proportional to t and can be mathematically expressed as:

w=\frac{a}{t}        Eqn. (1)

Now since we are given the values of w=4 and t=\frac{5}{12}, we can plug them in Eqn. (1) and find our constant of proportionality a as follow:

w=\frac{a}{t}\\ \\a=wt\\\\a=(4)(\frac{5}{12} )\\\\a=\frac{5}{3}

Now that we have our constant we can find the new t value for the second value of w=5 as follow:

w=\frac{a}{t} \\\\t=\frac{a}{w}\\ \\t=\frac{\frac{5}{3} }{5}\\\\t=\frac{5}{15}\\ \\t=\frac{1}{3}\\

Therefore based on the options give, we can see that Option B. is correct since

t=\frac{5}{3w} and for w=5, then t=\frac{1}{3}

8 0
2 years ago
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