Ask question

Ask question

All categories

2 years ago

5

delia drove her car 179 miles. The car used 6.04 gallons of gasoline on the drive. Estimate the cars gasoline milage in miles pe

r gallon

1 answer:

jok3333 [9.3K]2 years ago

8 0

29.6 mpg is the answer.

You might be interested in

teresa wants to make some cookies the recipe calls for 5 eggs and 10 tablespoons of butter but she only has 3 eggs she needs to

LenKa [72]

Answer:

I think Teresa needs 6 tablespoons of butter..

Step-by-step explanation:

Hope this right...but if it's not,im so sorry

6 0

2 years ago

zhuklara [117]

Step-by-step answer:

Given:

A triangle

Perimeter = 60 cm

longest side = 4* shortest side (x)

Solution:

longest side = 4x

shortest side = x

third (intermediate side = 60 -x -4x = 60-5x

The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence

x + y > 4x

x + 60-5x > 4x

60 - 4x > 4x

8x < 60

x < 60/8 = 7.5, or

x < 7.5

Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.

Examine the options: both 7 and 5 are both less than 7.5 cm.

40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.

Now also examine cases where 4x is NOT the longest side, in which case we need

4x>=y

or

4x >= 60-5x

9x >=60

x >= 6.67

so x=5 will not qualify, because 4x will no longer be the longest side.

The only valid option is x=7 cm

The side lengths for x=7 and x=5 are, respectively,

(7, 25, 28)

5, 20, 35 (in which case, the longest side is no longer 4x=20, so eliminated)

7 0

2 years ago

If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by

PIT_PIT [208]

Answer:

The family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

$\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}$ (1)

Where:

$\theta$ - Angle between vectors, in sexagesimal degrees.

$\|\vec a\|, \|\vec b \|$ - Norms of vectors $\vec {a}$ and $\vec{b}$

If $\theta$ is acute, then the cosine function is bounded between 0 a 1 and if we know that $\vec {a} = (p, 3, -7)$ and $\vec {b} = (p, -p, 4)$ , then the possible values for $p$ are:

Minimum ( $\cos \theta = 0$ )

$\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0$

Maximum ( $\cos \theta = 1$ )

$\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1$

With the help of a graphing tool we get the family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

7 0

2 years ago

Two number cubes (6 sided) are rolled at the same time. What is the probability that the first number cube will land on a 2 or 3

Reil [10]

Answer:

5/36 or approximately 13.88...%

Step-by-step explanation:

First, we need to know the probability of rolling a 2 or 3. Because there are 6 sides, the probability is 2/6

Next, we have to find the probability of rolling an even number. With the numbers:

1, 2, 3, 4, 5, 6

1, 3, 5 are odd 2, 4, 6 are even

so, the probability of rolling an even number is 3/6

Finally, multiply the probabilities:

3/6*2/6=5/36

Answer:

5/36 or about 13.88%

7 0

3 years ago

9 1/2 gallons equals how many quarts

Leni [432]

38 quarts because four quart equals one gallon.

3 0

3 years ago

Read 2 more answers