Each costume needs 46 centimeters of red ribbon and 3 times as much yellow ribbon. what is the total length ribbon for 64 costumes? express your answer in meters.


when making a batch of orange juice for her basketball team, jackie used 5 times as much water as concentrate. there were 32 more cups of water than concentrate.

a: how much juice did she make in all?

b: she poured the juice into quart containers. how many containers could she fill?

1. the total length ribbon for 64 costumes : 117.76 m

2. A. 48 cups juice

B. 12 quarts container

One variable linear equation is an equation that has a variable and the exponent number is one.  

Can be stated in the form:  

or  

ax + b = c, where a, b, and c are constants, x is a variable  

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one  

Can be stated in the form:  

x, y = variable  

1. Each costume needs 46 centimeters of red ribbon and 3 times as much yellow ribbon

If we translate this sentence into equation:

C(costume) = red ribbon + yellow ribbon

C(costume) = red ribbon + (3 x red ribbon)

C(costume)= 46 + 3.(46)

C(costume) = 184 cm

So total ribbon for each costume = 184 cm

Then, for 64 costume will need :

64 x 184 cm = 11776 cm

We convert to m :

1 cm = 10⁻² m

11776 cm =

2.

Let C = cups of concentrate

W = cups of water

Jackie used 5 times as much water as concentrate.

If we translate this sentence into equation:

5W(water) = C(concentrate)

W = 5C  .. equation 1

There were 32 more cups of water than concentrate.

If we translate this sentence into equation:

W = 32+C .. equation 2

From equation 1 dan 2 :

5C= 32 + C

4C = 32

C = 8 cups

W = 5 x 8

W = 40 cups

A. Total juice she can make :

= 40 + 8 cups

=

B. The units for US standart volume

1 gallon = 4 quarts = 8 pints = 16 cups = 128 fluid ounces

so 1 cups = 0.25 quarts

then for 48 cups :

= 48 x 0.25 quarts

=

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1