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Strike441 [17]
3 years ago
13

Which value of x makes the equation true? x - 5.1 = -7.6 x =

Mathematics
1 answer:
kherson [118]3 years ago
8 0
X = -2.5 because:
-7.6+5.1= -2.5
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Jason runs 440 yards in 75 seconds. At this rate, how many minutes does it take
Leya [2.2K]

Answer:

5 minutes

Step-by-step explanation:

We know that 1760 yards are in a mile. We can convert the given info into a proportion. 440/75 = 1760/x, where x is the number of seconds it takes to run a mile. Cross-multiply to get 440x = 75*1760. Divide both sides by 440 to get x = 75*4 = 300 seconds. The problem asks for how many minutes so you have to convert 300 seconds to minutes. To do this, we have to divide 300 by 60 to get 5 minutes.

3 0
3 years ago
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Plums are 6 for $1.50, and a sign by the apples that are 5 for $3.00. What is the total cost of buying 2 plums and 2 apples?
Doss [256]

Answer:

The answer is $1.70

Step-by-step explanation:

If 6 plums are $1.50 you would divide $1.50 by 6 to get the unit cost, $.25. Then you do the same thing for the apples. $3.00 divided by the 5 apples is $.60. Now you need to multiply both unit costs by 2 then add them together to get $1.70

(plums)  $1.50 / 6 = .25

(apples) $3.00 / 5 = .60

(plums)  .25 x 2 = .50

(apples) .60 x 2 = $1.20

$1.20 + .50 = $1.70

Hopefully I could help!!

4 0
3 years ago
98 Points! Answer Quick!
timama [110]

Reason:

2. SD ⊥ HT. ∴ ∠SDH = ∠SDT =90°

3. Given (It is given in the question)

5. RHS congruence

(Here, the right angle, hypotenuse and one side of ΔSHD is congruent to that of ΔSTD).

Statement:

4. Line segment SD = SD

(Reflexive property is used to prove congruence of triangles. This property is used when an angle or line segment is congruent to itself.)


7 0
3 years ago
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What is the probability of selecting two cards from a deck of cards with replacement?
motikmotik
Certin, because they can be any two cards.
7 0
3 years ago
Twenty five heat lamps are connected in a greenhouse so, that when one lamp fails, another takes over immediately (only one lamp
olga55 [171]

Answer:

P = 0.006

Step-by-step explanation:

Given

n = 25 Lamps

each with mean lifetime of 50 hours and standard deviation (SD) of 4 hours

Find probability that the lamp will be burning at end of 1300 hours period.

As we are not given that exact lamp, it means we have to find the probability where any of the lamp burning at the end of 1300 hours, So we have

Suppose i represents lamps

P (∑i from 1 to 25 (X_i > 1300)) = 1300

= P(X^{'}> \frac{1300}{25})                  where X^{'} represents mean time of a single lamp

= P (Z> \frac{52-50}{\frac{1}{\sqrt{25}}})                Z is the standard normal distribution which can be found by using the formula

Z = Mean Time (X^{'}) - Life time of each Lamp (50 hours)/ (SD/\sqrt{n})

Z = (52-50)/(4/\sqrt{25}) = 2.5

Now, P(Z>2.5) = 0.006 using the standard normal distribution table

Probability that a lamp will be burning at the end of 1300 hours period is 0.006

4 0
3 years ago
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