Which is more 56 ounces or 3.5 pounds?

Solve for x. −1.9=x/0.5

Feliz [49]

-1.9 = x/.5 given equation

multiply both sides by .5

.5(-1.9) = x/(.5) *(.5)

-.95 = x

check: -1.9 = -.95/ .5

4 0

3 years ago

starting at home, Omar traveled uphill to the gift store for 30 minutes at just 10mph. He then travelled back home along the sam

SashulF [63]

Answer:

average speed for the entire trip is 15 mph

Step-by-step explanation:

Let x be the uphill speed and y be the downhill speed.

We have been given that

Speed of Omar in uphill to reach gift store = x =10 mph

Speed of Omar in downhill to reach his home = y = 30 mph

We know the formula for average speed for the entire trip

$\text{Average speed }=\frac{2xy}{x+y}\\\\=\frac{2\times 10\times 30}{10+30}\\\\=\frac{600}{40}\\\\=15$

Therefore, average speed is 15 mph

6 0

3 years ago

Read 2 more answers

Write an exponential equation in the form y = abx whose graph passes through points (4, 8) and (6, 32).

Artist 52 [7]

Answer:

Option C.

Step-by-step explanation:

The general exponential equation is

$y=ab^x$

It is given that the graph of exponential function passes through points (4,8) and (6,32). It means the equation of exponential function must be satisfied by these points.

$8=ab^4$ ...(1)

$32=ab^6$ ...(2)

Divide equation (2) by equation (1).

$\dfrac{32}{8}=\dfrac{ab^6}{ab^4}$

$4=b^2$

Taking square root on both sides.

$2=b$

Put b=2 in (1).

$8=a(2)^4$

$8=16a$

$\dfrac{8}{16}=a$

$0.5=a$

Substitute a=0.5 and b=2 in the given general exponential equation.

$y=0.5(2)^x$

Therefore, the correct option is C.

8 0

3 years ago

A triangle can be formed with side lengths 2in, 3in and 6 in? true or false?

Aleks04 [339]

Answer:

No, a triangle cannot be constructed with sides of 2 in., 3 in., and 6 in.

For three line segments to be able to form any triangle you must be able to take any two sides, add their length and this sum be greater than the remaining side.

2

in.

+

3

in.

=

5

in.

5

in.

<

6

in.

For a triangle with sides 3 in., 4 in. and 5 in. which can form a triangle:

3 + 4 = 7 which is greater than 5

3 + 5 = 8 which is greater than 4

4 + 5 = 9 which is greater than 3

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

AB:BD = 3:4 AC:CD = 3:2 Work out AB:BC:CD

Papessa [141]

Answer:

15:6:14

Step-by-step explanation:

AB:BD is split into a total of 3+4=7 parts.

AC:CD is split into a total of 3+2=5 parts.

So, if the two ratios are put on a number line together with the points A, B, C, and D, the number line would be split into a total of 35 parts (the LCM of 7 and 5).

AB would be (3/7)*35=15.

CD would be (2/5)*35=14

BC would be 35-(15+14)=6

So, the ratio is 15:6:14.

5 0

3 years ago