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polet [3.4K]
3 years ago
7

12. In the diagram below…

Mathematics
1 answer:
aniked [119]3 years ago
4 0
It is number 3 why beacseu if u don’t have the length them u can’t do the equation
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Rachel has 30 pounds of a mixture of candy that sells for $1.00/lb. If lollipops sell for $0.95/lb and caramel candies sell for
Lina20 [59]

Answer:

Twenty Pounds

Step-by-step explanation:

Equation #1:

30lbs x Mix Price = (Lollipop Lbs  x 0.95)  + (Caramel Lbs X 1.10)

Equation #2:

Lollipops Lbs + Caramel Lbs = 30 Lbs

<em>Rearrange expressions to solve for different variables</em>

EQ1:   Caramel Lbs = (30 - .95 Lollipop Lbs)/ 1.10      NOTE: (mix price = 1.00)

EQ2:  Lollipop Lbs = 30 - Caramel Lbs

<em>Substitute formula 1 into formula 2</em>

Lollipop Lbs = 30 - [(30 - .95 Lollipop Lbs)/1.10]

<em>Distribute divisor</em>

Lollipop Lbs  = 30 - 27.2727 + .8636 Lollipop Lbs

<em>Collect terms</em>

Lollipop Lbs  =  2.7273 + .8636 Lollipop Lbs

<em>Remove .8336 Lollipops from both sides of the equation</em>

.1364 Lollipop Lbs = 2.7273

<em>Divide both sides by .1364  </em> (Answer is  19.9949 which rounds to 20)

Lollipop Lbs =  20

PROOF:

30 = (20 x 0.95) + (10 x 1.10)

30 = 19 + 11

30 = 30   TRUE!


6 0
3 years ago
What is the length of the shorter base of the Little Trapezoid trail?
valentina_108 [34]

Answer:

The length of the shorter base of the little trapezoid trail is 1 mi.

Step-by-step explanation:

Let the shorter base of the large trapezoid is S and the larger base of the large trapezoid is L.

Similarly, assume that the shorter base of the small trapezoid is s and the larger base of the small trapezoid is l.

Since, the trapezoids are similar, so

\frac{L}{l} = \frac{S}{s}

Now, given that S = 2 mi, L = 8 mi and l = 4 mi and we have to find s.

So, s = \frac{S \times l}{L} = \frac{4 \times 2}{8} = 1 mi. (Answer)

3 0
3 years ago
Maria left at 2:00 P.M. for the beach and arrived at 6:00 P.M. If she drove 203 miles to the beach, what was her average speed p
Dimas [21]

Answer:

50.75 speed per hour

Step-by-step explanation:

pls mark brainliest

5 0
3 years ago
Read 2 more answers
A car is traveling at a steady speed. It travels 2 1/2
Ksivusya [100]

Answer:

It will travel

33 \frac{1}{4}  \: miles

in 45 minutes.

Step-by-step explanation:

We can solve using proportions.

\frac{ 2\frac{1}{2} \: miles}{ 3\frac{1}{3} \: minutes}  =  \frac{x}{45 \: minutes} \\  \\  \frac{ 3\frac{1}{3} x}{ 3\frac{1}{3} }  =   \frac{ 112\frac{1}{2} }{ 3\frac{1}{3} }    \\  \\  x = 33\frac{3}{4}

6 0
3 years ago
Estimate -9 1/6 + 2 1/3 + (-1 7/8) I have more questions so if you want more just simply ask.
BigorU [14]

-8.70833333333 about but you can round to the nearest tenth (-8.7) or nearest whole number (-9)

4 0
4 years ago
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