Find the error sienna used base-ten blocks to find 45÷3 .explain her error

Light travels at 186,000 miles per second. Light takes about 11⁄3 seconds to travel from the earth to the moon. Calculate the di

san4es73 [151]

Answer:

682,000 miles

Step-by-step explanation:

Using the ratio of 186,000 miles per second:

$\frac{miles}{second}=\frac{186,000}{1}$

we can set up a proportion (equivalent ratios) to find the distance, in miles, from the earth to the moon

$\frac{186,000}{1}=\frac{x}{\frac{11}{3}}$ where 'x' is the number of miles between the earth and the moon

Cross-multiply: x = 186,000* $\frac{11}{3}$

Solve for x = 682,000 miles

7 0

3 years ago

2 mixed numbers between 3 and 4 that have a product between 9 and 10

Pavel [41]

2 4
3 4 4 5 9 10 10 8

3 0

3 years ago

A rectangular swimming pool is twice as long as it is wide. A small concrete sidewalk surrounds the pool and is a constant 2 fee

Naddika [18.5K]

Answer:

The dimensions of the pool are:

Width: 8.944 feet

Length: 17.888 feet

Step-by-step explanation:

From Geometry, the area of a rectangle ( $A$ ), measured in square feet, is determined by the following equations:

$A = w\cdot l$ (1)

Where:

$w$ - Width, measured in feet.

$l$ - Length, measured in feet.

If we know that $w = x$ , $l = 2\cdot x$ and $A = 160\,ft^{2}$ , then we get the following second order polynomial:

$2\cdot x^{2}-160 = 0$ (1)

And we solve the expression for $x$ :

$2\cdot x^{2} = 160$

$x^{2} = 80$

$x = \sqrt{80}\,ft$

$x \approx 8.944\,ft$

Then, the dimensions of the pool are, respectively:

$w \approx 8.944\,ft$ and $l \approx 17.888\,ft$

5 0

3 years ago

Judy worked 8 hours and Ben worked 10 hours. Their combined pay was $80. When Judy worked 9 hours and Ben worked 5 hours, their

pav-90 [236]

Answer:

Judy = $5/hr

Ben = $4/hr

Step-by-step explanation:

Judy's hours at work - x

Ben's hours at work - y

8x + 10y = 80

9x + 5y = 65

Given these two equations above, we get:

10y = 80 - 8x, which means y = 8 - 0.8x.

Substitute y in the second equation with 8 - 0.8x, so we have:

9x + 5 (8 - 0.8x) = 65

9x + 40 - 4x = 65

5x = 25

x = 5

Come back to the first equation, substitute x:

8*5 + 10y = 80

10y = 80 - 40

y = 4

3 0

2 years ago

The seventh grade choir sold pizzas as a fundraiser. The choir teacher created the graph below for the students.

frez [133]

Answer:

C

Step-by-step explanation:

We are trying to find the profit for every pizza sold. Since looking at the x axis, the point in which its x coordinate is 1 cannot be easily identified. Thus, we shall derive the answer using a point that can be easily identified.

We observe that the two points, (10,12) and (20,24) sits nicely on the graph. I will be using the first coordinate above to derive the answer.

For every 10 pizzas sold, $12 of profit is made.

10 pizzas ----- $12 profit

1 pizza ----- $12 ÷10= $1.20

Hence, the unit rate of profit for the pizzas is $1.20 per pizza.

3 0

3 years ago