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3 years ago

Perform the operation: 3 gal, 1 qt. -1 gal, 3 qt.

2 answers:

6 0

Ah, college mathematics.

We must remember there are four quarts per gallon. Let's convert everything to gallons:

3 \frac 1 4 - 1 \frac 3 4 = \frac{13}{4} - \frac{7}{4} = \frac{6}{4} = 1 \frac 2 4

We don't reduce because it's easy to see that's 1 gallon, 2 quarts, third choice.

d1i1m1o1n [39]3 years ago

6 0

Answer:

1 gal. 2 qt.

Step-by-step explanation:

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Determine whether each statement is always sometimes or never true explain your reasoning

Aneli [31]

17) Sometimes true

Given only that a quadrilateral is a parallelogram, we can only conclude the opposite sides are congruent - not the adjacent sides

18) Always true

Adjacent angles of a parallelogram are supplementary.

19) Always true.

Opposite sides of a parallelogram are congruent.

20) Never true

Diagonals of a parallelogram bisect each other, meankng that MR = RP.

8 0

2 years ago

What is the range of values for X?

guajiro [1.7K]

Answer:

6 < x < 30

Step-by-step explanation:

By the Hinge Theorem, we know that

Angle BAC > Angle DAC

The two triangles that make the diamond have two equal sides. The third side of the upper triangle is longer than the third side if the lower triangle. To fit in the longer side, line AB had to be pushed outwards, forming a larger angle.

When we compare the two angles 48 and (2x-12), we now know that 48 is larger.

48 > 2x-12

48+12 > 2x

60 > 2x

60/2 > x

x < 30

Furthermore, angle DAC can't be negative or zero

2x - 12 > 0

2x > 12

x > 6

4 0

3 years ago

Read 2 more answers

Founder's Park is planning to add a slide. The scaled model gives the reduced measures. A slide has a width of 3.5 inches and he

OLEGan [10]

Answer: The slide will have a height of 6 feet.

Step-by-step explanation:

Given: A slide has a width of 3.5 inches and height of 3 inches.

For required slide , width = 7 feet]

To keep the slide proportional to the model,

$\dfrac{\text{height of the required slide}}{\text{height of the slide }}=\dfrac{\text{width of required slide}}{\text{width of slide}}$

$\Rightarrow\ \dfrac{\text{height of the required slide}}{3}=\dfrac{7}{3.5}\\\\\Rightarrow\ \dfrac{\text{height of the required slide}}{3}=2\\\\\Rightarrow\ \text{height of the required slide}=3\times2 =6\ \text{feet}$

hence, the slide will have a height of 6 feet.

3 0

3 years ago

Read 2 more answers

The world population was 2560 million people in 1950 and 3040 million in 1960 and can be modeled by the function p(t) 2560e0.017

almond37 [142]

Answer:

Step-by-step explanation:

The average rate of change is the slope. However, since this is not a linear function but an exponential one, we cannot determine the slope of the function, only the slope of the secant line that connects the x-values of 4 and 8. In order to do that we need to find the corresponding y-coordinate that goes with each of those x-values and plug them into the slope function. What we will get is a very loose interpretation of the rate of change of population, but that's all we have short of using calculus. It would be a closer estimation if we looked at x values of 4 and 5, or eve 4 ad 4.5. But that's not what we're being asked. So let's get to it.

Sub first 4 in for x and then 8, to get each y value:

$P(4)=2560e^{(.017185)(4)}$ to get that P(4) = 2742.16