This graph shows how the total distance Jack has walked depends on the number of trips he has made to school.

On a package of rice, the directions say that the ratio of cups of water to cups of uncooked rice should be 1: 1 2 . a. What is

iragen [17]

A) To cook 1/2 cup of rice, the package tells you that you also need 1 cup of water. The the total volume of ingredients is
.. 1/2 c + 1 c = 1 1/2 c

b) According to the package the ratio of water to rice is
.. water : rice = 1 : 1/2 = 2 : 1
Then the ratio of water to total ingredients is
.. water : (water + rice) = 2 : (2 +1) = 2 : 3

Susan's ratio is incorrect. Susan is using "1" for the total of ingredients, instead of 2+1 = 3. The correct ratio is 2:3.

5 0

3 years ago

Solve the equation:<br><br> a) -3 = 7+2t/3<br><br> b) 4(5x-2) = 7(2x+3) <br><br> c) 2x-6 = 30-2.5x

Umnica [9.8K]

Let's start by solving the first equation.

a) -3 = 7 + 2t/3
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8

Now let's move on to the next equation.

b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21

Now, lets subtract 14x from both sides of the equation.

6x - 8 = 21

Next, let's add 8 to both sides of the equation.

6x = 29

And divide both sides by the coefficient of x, which is 6.

x = 29/6 or 4 5/6

Now for the last equation.

C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9

Hope this helps! :)

7 0

3 years ago

A rectangular yard is 20 feet by 15 feet. The yard Is covered with grass except for an 8.5 feet. Square flower garden. How much

stich3 [128]

Answer: $227.75\ ft^2$

Step-by-step explanation:

<h3> The complete exercise is: "A rectangular yard is 20 ft by 15 ft. The yard is cover with grass except for 8.5 feet square flower garden. How much grass is in the yard?"</h3><h3 />

The area of a rectangle can be calculated with the following formula:

$A=lw$

Where "l" is the lenght of the rectangle and "w" is the width.

Based on the data given in the exercise, you can identify tha the length and the width of the rectangular yard are:

$l=20\ ft\\\\w=15\ ft$

Then, you can substitute these values into the formula and then evaluate in order to find the area of the entire yard:

$A_y=(20\ ft)(15\ ft)=\\\\A_y=300\ ft^2$

The area of the flower garden which is an square, can be calculated with this formula:

$A=s^2$

Where "s" is the side length.

In this case you know that:

$s=8.5\ ft$

Then the area of the flower garden is:

$A_g=(8.5\ ft)^2\\\\A_g=72.25\ ft^2$

<em> </em>Since this is not covered with grass, you need to subtract both areas calculated above in order to find the surface covered with grass in the yard.

This is:

$A_g=300\ ft^2-72.25\ ft^2\\\\A_g=227.75\ ft^2$

4 0

3 years ago

to multiply a number by 12 carter likes to multiply the number by 10 and then multiply it by 2 and add the product. here is a pi

Elanso [62]

Poop

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8 0

3 years ago

Read 2 more answers

a satellite's escape velocity is 6.5 mi/sec, the radius of the earth is 3960 mi, and the earth's gravitational constant is 32.2

Artyom0805 [142]

Answer:

$23.89x10^{6}$ ft

Step-by-step explanation:

$\frac{V^{2} }{R^{2} } = \frac{2g}{R+h} \\$ This is the formula to find satellite's escape velocity V , where R is earth's radius, h is the satellite's height from the earth surface and g is the earth's gravitational constant.