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emmasim [6.3K]
3 years ago
14

If a car has traveled 171 miles in 3 hours at a steady pace, how far has it traveled each hour?

Mathematics
1 answer:
san4es73 [151]3 years ago
7 0

Answer:

B: 57 mph=57 mph

Step-by-step explanation:

A steady pace means constant speed  that it does not change over a period of time and direction of motion. A simple formula, for this case (constant speed)

v= \frac{x - xo}{t -to}

where x is distance and t time. The subtract is final value minus initial value

We have the distance and time, then

v= \frac{171 miles}{3 hours}  = 57 mph

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Twice a number k plus 8 equals one-half times the quantity of four times a number k plus fourteen ?
belka [17]

Answer:

No solutions

Step-by-step explanation:

So putting that into an equation it equals

2k+8=(4k+14)÷2

Move the 2 to the other side.

2∙2k+8=4k+14

Simplify.

4k+8=4k+14

It doesn't make sense so No Solutions

8 0
3 years ago
(y x 1) + 2 and y + 2, is it equivalent or non equivalent?
enot [183]

Given:

The two expressions are

(y\times 1)+2

y+2

To find:

Whether the given expression are equivalent or non-equivalent.

Solution:

If two expressions are looking different but they are equal after simplification, then they are called equivalent expressions.

The first expression is

(y\times 1)+2=y+2

The first expression is equal to the second expression after the simplification.

Therefore, the given expressions are equivalent.

5 0
3 years ago
Thank you everyone for helping me this year to get good grades I am giving points.​
Dmitriy789 [7]
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6 0
2 years ago
Determine the projection of w onto u.
irina [24]

Answer:

A.6.2i-4.2 j

Step-by-step explanation:

We are given that

u=9i-6j

v=-3i-2j

w=19i+15j

We have to find the projection of w on to u.

The project of vector a on b

=\frac{a\cdot b}{\mid b\mid^2}b

w.u=(19i+15j)\cdot (9i-6j)=171-90=81

\mid u\mid=\sqrt{x^2+y^2}=\sqrt{9^2+(-6)^2}=\sqrt{117}

Using the formula

The projection of w on to u

=\frac{u\cdot w}{\mid u\mid^2}(u)=\frac{81}{117}(9i-6j)

The projection of w on to u=6.2i-4.2j

Hence, option A is true.

4 0
3 years ago
Read 2 more answers
The value of y varies directly with x, and y = 343 when x = 49. find y when x = 8.
Natasha_Volkova [10]

The value of y is 56 when x = 8.

Given

y = 343 when x = 49

Value of y varies directly with x

Therefore, y ∝ x

We can write the equation with a constant 'k'

y = kx

When y = 343 and x = 49

343 = k × 49

k = 343/49

k = 7

When x = 8,

y = kx

y = 7 × 8

y = 56

The value of y is 56 when x = 8.

Find out more information about value of y here

brainly.com/question/1907608

#SPJ4

5 0
1 year ago
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