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monitta
3 years ago
5

​Hank's pickup can travel 80 miles on 5 gallons of gas. How many gallons will​ Hank's pickup need to travel 64 ​miles?

Mathematics
2 answers:
Makovka662 [10]3 years ago
8 0

Answer:

4

Step-by-step explanation:

80 / 5 = 16 so he can drive 16 miles on 1 gallon of gas

64 / 16 = 4 gallons of gas

mr_godi [17]3 years ago
4 0

Answer:

4 gallons

Step-by-step explanation:

80/5 will give you 16 so for each gallon the car can move 16 milles

so 64/16 = 4 so he will need 4 gallons of gas in order make the trip

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3 years ago
Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the poi
Marta_Voda [28]

Answer:

<em>(-3, -129)</em>

<em></em>

Step-by-step explanation:

Given

Two lines:

$x + 5y = 7$

$15x + Py = Q$

are perpendicular to each other and intersect at point (-8,3).

To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

15\times (-8) + P \times 3 = Q\\\Rightarrow 3P = Q +120 ..... (1)

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e. m_1\times m_2=-1

Slope of a line of the form ax+by+c=0 is given as:

m=-\dfrac{a}{b}

So, slopes of given lines are:

m_1=-\dfrac{1}{5}\\m_2=-\dfrac{15}{P}

Using the condition:

-\dfrac{1}{5}\times \dfrac{-15}{P}=-1\\\Rightarrow P = -3

Putting the value of P in equation (1):

\Rightarrow 3\times (-3) = Q +120 \\\Rightarrow Q = -9-120 = -129

So, answer is <em>(-3, -129)</em>

7 0
3 years ago
Isabella has dance class every 3 days and soccer
Nataliya [291]

Answer:

15

Step-by-step explanation:

first you need to find the LCM (least common multiple) which is 15 so then every 15 days she will have both soccer, dance class and swimming class on the same day

4 0
4 years ago
In my fish tank, the ratio of red fish to blue fish is 1:5. There are 15 blue fish. How many red fish are there?
ElenaW [278]

Answer:

there are 3 red fish

Step-by-step explanation:

1:5

_:15

5 times 3 =15

so 1 times 3 =3

4 0
4 years ago
Read 2 more answers
A bag contains 8 black beads and 4 white beads. If 2 beads are drawn at random, what is the probability that both beads are blac
maria [59]

Answer:

14/33

Step-by-step explanation:

The total amount of beads is 8+4 = 12.  8 of these are black beads, so that is what we want, so 8/12 or 2/3.  For the second one, one black bead is already taken so 8-1 = 7 are left and for the total 12 - 1 = 11 are left, so 7/11.  Multiply this by 2/3 and we get 14/33.

3 0
3 years ago
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