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3 years ago

Graph the inequality on the axes below.

Mathematics

1 answer:

Elena L [17]3 years ago

3 0

Should look something like that

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Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation

Andrej [43]

Answer:

$5x= 15$

Step-by-step explanation:

Given

$3x - 5 = -2x +10$

Required

Write the variables and constants on different sides

$3x - 5 = -2x +10$

Add 2x to both sides

$2x + 3x - 5 =2x -2x +10$

$5x - 5 =10$

Add 5 to both sides

$5x - 5 + 5 = 10 + 5$

$5x= 10 + 5$

$5x= 15$

Hence, the equation is

$5x= 15$

Solving further [divide both sides by 5]

$x = 3$

3 0

3 years ago

Mia had $22. Then she started to receive $4 a week as an allowance. She plans to save all of her money for a bicycle and draws a

saw5 [17]

Answer:

first y then x because y represents 22 and x represents 4 a week.

8 0

3 years ago

A horse 64 feet from the center of a merry-go-round makes 27 revolutions. In order to travel the same distance, how many revolut

shutvik [7]

Answer:

108

Step-by-step explanation:

64*27=1728

1728/16=108

64/16=4

4*27=108

hope this helps!

5 0

3 years ago

The United States is about the only country that still uses the units feet, miles, and gallons. However, you might see some car

Black_prince [1.1K]

Answer: $4.5 \text{ miles per gallon}$

Step-by-step explanation:

Given : The fuel efficiency of car = 7.6 km per kilogram

We also given that

1 mile = 1.609 km

Then, $\text{1 km}=\dfrac{1}{0.609}\text{ mile}$

1 gallon = 3.785 liters

$\text{1 liter}=\dfrac{1}{3.785}\text{ gallon}$

1 liter of gasoline = 0.729 kg

Then, $\text{1 kg}=\dfrac{1}{0.729}\text{ liter}$

$\Rightarrow\ \text{1 kg}=\dfrac{1}{0.729}\times\dfrac{1}{3.785}\text{gallon}$

Now, the fuel efficiency of car will be :

$7.6\times\dfrac{1}{0.729}\times\dfrac{1}{3.785}\times\dfrac{1}{0.609}\\\\=4.52275317827\approx4.5 \text{ miles per gallon}$

Hence, the car’s fuel efficiency in miles per gallon= 4.5

3 0

3 years ago

The owner of a bakery wants to know whether customers have any preference among 5 different flavors of muffin. A sample of 200 c

Troyanec [42]

So,, there are 5 different flavors. A total of 180 people were asked. Hence, the hypothesis that there is no significant difference is that every flavor gets 180/5=36 flavors. x^2= $\sum{\frac{(x_i)^2}{m_i}}-n$ . In this case, mi is the proportion of the hypothesis, thus 36, n=180 and xi is the number of actual observations. Substituting the known quantities, we get that x^2=9. The degree of association is given by $\sqrt{X^2}/ \sqrt{N(n-1)}$ . This yields around 0.10, much higher than our limit.

8 0

3 years ago