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patriot [66]
3 years ago
10

Solve (x + 3 < 5) U (x - 7 > 1).

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0

Answer:

{ x | x < 2 or x > 8}

Step-by-step explanation:

Given the expression

(x + 3 < 5) U (x - 7 > 1).

Solve x+3 < 5

Subtract 3 from both sides

x+3 - 3 < 5-3

x < 2

For x - 7 > 1

Add 7 to both sides

x-7+7 > 1 + 7

x > 8

Hence the union of both is { x | x < 2 or x > 8}

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A recipe that makes 24 cupcakes calls for 5 1/2 cups of flour. How much flour is needed to make 30 cupcakes?
Reptile [31]

Answer: D hope this helps

5 0
3 years ago
Which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?
jarptica [38.1K]
In order to figure this out you need to use Descartes Rule. I attached a picture showing Descartes Rule.  If the signs changes for when x is positive then the number of times it changes are the possible positive solution. If the sign changes when x is negative then the number of times it changes are the possible negative solutions. With that said the answer is A. View the picture I have attached for the possible + - and imaginary solutions.

Answer = A) One possible positive solution.


4 0
3 years ago
Read 2 more answers
Subtract. 0.63–(–9.85)<br> a. –10.48<br> b. –9.22<br> c. 9.22<br> d. 10.48
zaharov [31]
Negative times negative = positive.

=0.63−(−9.85)
=0.63+9.85
=10.48

D) is the answer.
5 0
3 years ago
Read 2 more answers
The combustion of one gallon of automobile fuel produces about 5 pounds of carbon (in CO₂). Two autos are making a trip of 600 m
rewona [7]

Answer:

Approximately 50 pounds less carbon (in CO₂) will be produced by the second auto on this trip.

Step-by-step explanation:

We have been given that the combustion of one gallon of automobile fuel produces about 5 pounds of carbon (in CO₂). Two autos are making a trip of 600 miles.

Let us find amount of fuel used by autos by dividing the total distance by their mileage.

\text{Fuel used by 1st auto}=\frac{\text{ 600 miles}}{\frac{\text{ 20 miles}}{\text{gallon}}}

\text{Fuel used by 1st auto}=\frac{\text{ 600 miles}}{\text{ 20 miles}}\times \text{gallon}

\text{Fuel used by 1st auto}=30 \text{ gallons}

\text{Fuel used by 2nd auto}=\frac{\text{ 600 miles}}{\frac{\text{ 30 miles}}{\text{gallon}}}

\text{Fuel used by 2nd auto}=\frac{\text{ 600 miles}}{\text{ 30 miles}}\times \text{gallon}

\text{Fuel used by 2nd auto}=20 \text{ gallons}

Let us find the difference of fuel used by both autos.

\text{Number of gallons that 2nd auto used less than 1st auto}=30-20

\text{Number of gallons that 2nd auto used less than 1st auto}=10

Since one gallon of automobile fuel produces about 5 pounds of carbon, so 10 gallons of fuel will produces 5\times 10=50 pounds of carbon.

Since 2nd auto used 10 gallons less than 1st auto, therefore, 2nd auto will produce 50 pounds less carbon than 1st auto.

8 0
3 years ago
The circumference of a circle is 48π units. what is the radius of the circle?
tresset_1 [31]
The radius would be 75.36. In order to receive this answer, you must do 48 times 3.14. You will then receive an answer of 150.72. Then, you have to divide 150.72 by 2 in order to obtain your final answer : 75.36.
8 0
3 years ago
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