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ikadub [295]
1 year ago
10

Manu goes for a jog and runs 8 miles in 4 minutes . How many miles will he run if he runs 10 minutes ?

Mathematics
1 answer:
sattari [20]1 year ago
3 0

He will run 20miles for 10 minutes

Rate = Distance / time

for the first jog

distance = 8 miles

time = 4 minutes

rate = 8 / 4

rate = 2 miles/minutes

to calculate the distance covered in 10 minutes

from Rate = distance / time

Introducing cross multiplication

Distance = rate x time

Distance = 2 x 10

Distance = 20miles

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53w+13 is less than 56w+16
Klio2033 [76]

Answer:

inequality form: w<-1

interval notation: (-1)

if this is not what your looking for then this might help

53w+13<55w+16

get w to one side

subtract 53w from both sides

13<3w+16

get 3w by itself

subtract 16 from both sides

-3<3w

divided both side by 3 to solve for w

-1<w

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i hope this helped

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3 0
3 years ago
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Evan went to the park and saw four animals.
dsp73

Answer:

He saw <u>1 duck</u> and <u>3 dogs</u>.

Step-by-step explanation:

Given:

Evan went to the park and saw four animals.

Each animal was either a duck or a dog.

He saw a total of 14 legs.

Now, to find the number of each animal he had seen.

Let the number of duck be x.

And the number of dog be y.

So, total number of animals:

x+y=4\\y=4-x

Now, the total number of legs he did see:

<em>As we know the legs of a duck are 2 and a dog are 4.</em>

2x+4y=14\\2x+4(4-x)=14\\2x+16-4x=14\\-2x+16=14

Adding both sides by -16 we get:

-2x=-2

Dividing both sides by -2 we get:

x=1

The number of duck = 1.

Now, putting the value of x in above equation we get:

y=4-x

y=4-1\\y=3.

The number of dogs = 3.

Therefore, he saw 1 duck and 3 dogs.

4 0
2 years ago
why write a quadratic function whose graph has the given characteristics vertex :(2,3) point on graph (0,-1)
GaryK [48]
<h3>Answer:</h3>

f(x) = -(x -2)² +3

<h3>Step-by-step explanation:</h3>

We can fill in the vertex (h, k) values immediately in the vertex form ...

... f(x) = a(x -h)² +k

To find the value of a, we solve the equation for a at some point other than the vertex. The given point is (0, -1), so we can use that:

... -1 = a(0 -2)² +3

... -4 = 4a . . . . . . . . . subtract 3, simplify

... -1 = a . . . . . . . . . . . divide by 4

Now, we know the function is ...

... f(x) = -(x -2)² +3

5 0
3 years ago
The vertices A(-2,-1), B(-3, 2), C(-1, 3), and D(0, 0) form a parallelogram. The vertices A'(-1, -2), B'(2, -3), C'(3,-1),
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Answer:

A is correct.

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The rule for this transformation is that (x,y) will become (y,x) if it flips over y=x OR the y-axis and the x-axis.

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