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s344n2d4d5 [400]
2 years ago
5

Solve the equation: 5x + 45 = 35 What is the value of x?​

Mathematics
1 answer:
hoa [83]2 years ago
8 0

Answer:

5x+45=35

5x=35-45

5x=-10

x=-10/5

x=-2

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An ant has a mass of 0.005 gram. A grasshopper has a mass 0.5 gram..How many ants would it take to equal the mass of 1 grasshopp
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Answer:

Step-by-step explanation:

Just divide the larger mass by the smaller.

0.5 / 0.005 = 0.5 / 0.5 * 10^-2 = 1 * 10^2 = 100

It take 100 ants to equal the mass of a grasshopper.

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On average,Anna can drive 31 miles on every gallon of gasoline. If you fills up her tank for $2.19 per gallon, how much will it
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30.60

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2 years ago
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Which statement and explanation about the product of a 3-digit number and a 2-digit number is correct?
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The answer is D- 999*99 is 98,901 (which is 5 digits. It cannot go higher), but 100*10 is 1,000, so it can go lower.
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2 years ago
Tiffany sells two kinds of homemade tomato sauce. A quart of her Tuscan sauce requires 6 tomatoes and 1 cup of oil. A quart of h
il63 [147K]

Let x represent the number of quarts of Tuscan sauce and

y represent the number of quarts of marinara sauce Tiffany makes.

A quart of Tuscan sauce requires 6 tomatoes and 1 cup of oil

x quarts requires 6x tomatoes and 1x cups of oil

A quart of her marinara sauce requires 5 tomatoes and 1.25 cups of oil

y quarts requires 5y tomatoes and 1.25 y cups of oil

She has 45 tomatoes and 10 cups of oil on hand.

So the constraints are

6x + 5y

1x + 1.25y < = 10

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4 0
2 years ago
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Yi is running for class president. To try to predict how people will vote, she wants to take a poll with a 90% confidence level
slega [8]
90The information that you'd need in determining sample size when the standard deviation is unknown is:

z-value for the given level of confidence ⇒ The level of confidence is 90% and the z-value by convention is 1.645

The margin error (E) = 4%

The proportion of the population that you'd expect to vote for Yi. If this information isn't provided, use 50%. We call this value, p, the probability of success.

The probability of not success is q = 1 - 0.5 = 0.5

STEP 1:
Half the margin error = 0.04 ÷ 2 = 0.02

STEP 2:
Multiply the probability of success by the probability of fail = 0.5 × 0.5 = 0.25

STEP 3: 
Divide z-score by half of E = 1.645 ÷ 0.02 = 82.25
Then square the answer = 82.25² = 6765 rounded to the nearest integer)

STEP 4: 
Multiply the answer from STEP 2 by the answer from STEP 4
0.25 × 6765 = 1691 (rounded to the nearest integer)

Answer: Minimum Sample Size is 1691
8 0
2 years ago
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