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Andreas93 [3]
3 years ago
14

what is the equation for “the product of a number and 3 is 5 less than the quotient of a number and 4

Mathematics
1 answer:
marishachu [46]3 years ago
5 0
Equation 1.
20÷4=5
0×3=0
5-5=0
Equation 2.
44÷4=11
2×3=6
11-5=6
Equation 3.
56÷4=14
3×3=9
14-5=9
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What is the solution to the compound inequality in interval notation?
ollegr [7]

Answer:

Step-by-step explanation:

Because of the word "or", this is a disjunction, or a union of all the solutions to the inequality as they present on a number line.

For the first inequality:

4(x + 1) > -4 we distribute through the parenthesis to get

4x + 4 > -4 and subtract 4 from both sides to get

4x > -8 and then divide both sides by 4 to get

x > -2.  That will be graphed on a number line with an open hole over the -2 and the arrow will go to the right where the numbers are bigger than -2. This arrow continues into positive infinity.

For the other inequality:

2x - 4 ≤ -10 we add 4 to both sides to get

2x ≤ -6 and then divide by 2 to get

x ≤ -3. That is a closed hole over -3 and the arrow goes to negative infinity (to the left). Since one arrow goes off to the right forever, and the other arrow goes off to the left forever, and the arrows do not intersect at any point, the interval notation answer is

(-∞, -3] or (-2, ∞).  The parenthesis mean that the number following it is not included (you can't include infinity, either negative or positive, because it's not actually a number) and the brackets mean that the number following it IS included. The hole is closed over the -3 so -3 is included in the solution, where the hole over the -2 is open and is not included.

4 0
1 year ago
Only some of the students in the Level 1 swim lessons move up to Level 2 at the end of
larisa86 [58]

The list that orders the fractions from least to greatest is:

  • \frac{7}{12}, \frac{2}{3}, \frac{17}{24}, \frac{3}{4}

<h3>Ordering of fractions</h3>
  • To order the fractions from least to greatest, we have to realize their conversion to decimal.
  • To realize the conversion, the numerator is divided by the denominator, as ordering decimal numbers are easier than fractions.

Hence, the fractions converted to decimal are:

  • \frac{2}{3} = 0.6667.
  • \frac{7}{12} = 0.5833.
  • \frac{17}{24} = 0.7083
  • \frac{3}{4} = 0.75

Hence, the list from least to greatest is, according to the results of the conversions:

  • \frac{7}{12}, \frac{2}{3}, \frac{17}{24}, \frac{3}{4}

To learn more about ordering of fractions, you can take a look at brainly.com/question/26139168

7 0
2 years ago
NEED ASAP
nadya68 [22]

Answer:

$0.29

Step-by-step explanation:

Multiply the unit weight ($0.24/ounce) by the weight (1.2 oz.):

$0.24     1.2 oz

.24 * 1.2 = $0.288

So, the rounded answer will be $0.29

5 0
3 years ago
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Mrs.Cain’s coslaw recipe calls for 1/3 cup of oil ,1/2 cup of vinegar,and 1/4 cup of sugar
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Add those ingredients.  Or add the question you need help with

6 0
3 years ago
345 in standard form
steposvetlana [31]
345 in Standard Form is 3.45 x 10^2

This is because when in standard form the decimal should move to the right 2 times.
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