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Paladinen [302]
3 years ago
11

Peyton is altering her new jacket to enter it into the Bodacious Bedazzling Contest. In order for a garment to be considered "be

dazzled," it must contain an amount of gems that fall within the range of the following inequality 132 ≤ ½x + 8 ≤ 193. Find the range of gems Peyton must use to enter he jacket in the contest.
Mathematics
2 answers:
horrorfan [7]3 years ago
5 0
248 to 370 gems
set up two equations 
132=(1/2)x+8  x=248
193=(1/2)x+8   x=370
kotegsom [21]3 years ago
4 0

Answer:

the range will be 248 ≤ x ≤ 370

Step-by-step explanation:

The given inequality models the range of amount of gems.

132 ≤ 1/2x + 8 ≤ 193

So we have to solve the inequality for the value of x.

132 ≤ \frac{1}{2}x + 8 ≤ 193

Now we subtract 8 from the inequality.

132 - 8 ≤ (\frac{1}{2}x + 8) - 8 ≤ 193 - 8

124 ≤ \frac{x}{2} ≤ 185

Now we multiply the inequality by 2

124 × 2 ≤ (\frac{x}{2}) × 2 ≤ 185 × 2

248 ≤ x ≤ 370

So the range will be 248 ≤ x ≤ 370

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FrozenT [24]

Hello!

The statement that is true about the three quadrilaterals is the first one:

\boxed{ \bf D~and~E~are~similar~but~not~congruent.}

____________________________________________________________

Option #2 is incorrect because although E and F are similar, they are not congruent. They do not have the same size.

Option #3 is also incorrect because, again, D and E are similar, but they are not congruent.

Option #4 is not correct because it says that "F and D are similar but not congruent." This is not true since they are the same shape and size. Only their orientation is different, which makes them congruent.

4 0
4 years ago
Help me with 5,7, and number 2 on the bottom
VikaD [51]

Answer:

2. YM ≅ MQ

5. JK = 7 inches

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Step-by-step explanation:

2. YM ≅ MQ - corresponding sides of congruent triangles are congruent

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JK = 7 inches

7. If quadrilateral BCDE is congruent to quadrilateral STUV, then corresponding sides are congruent. Side BE is congruent to side SV because B and E are first and last letters in name of quadrilateral BCDE and S and V are first and last letters in name of quadrilateral STUV. Thus,

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3 0
4 years ago
How do I do this math
Ganezh [65]

Answer:

Woah uhh ok....

Step-by-step explanation:

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7 0
3 years ago
A quality analyst wants to construct a control chart for determining whether four machines, all producing the same product, are
netineya [11]

Answer:

Step-by-step explanation:

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3) Estimate of the Standard Deviation: Let us denote the mean (average) of the proportion of defectives by p. Then, the estimate for the standard deviation is : sqrt{p*(1 - p)/n}. Where n is the sample size. Putting p = 0.02, and n = 1000, we get: σ=0.0044.

4) The control Limits for this case, at Alpha risk of 0.05 (i.e. equivalent to 95% confidence interval), can be found out using the formulas given below:

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& Upper Control Limit: p + (1.96)*σ = 0.02 + (1.96)*0.0044 = 0.0287.

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8 0
3 years ago
I NEED HELP
Anastasy [175]
8 * 1/5 = 8/5 
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3/10 * 7 = 21/10 
5 0
4 years ago
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