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Cayden wants to buy a new bike that costs $191. This is $25 less then four times what he saved last month for the bike. How much

Nana76 [90]

191=4m-25
191+25=4m
216=4m
216/4=m
$54= money Cayden saved last month

5 0

3 years ago

A huge suspended LED screen is the centerpiece of The Place, a popular mall in Beijing, China. Find the length and width of a si

dusya [7]

The length and width of the similar rectangular screen are 110 meters and 35 meters respectively.

<u>SOLUTION: </u>

Given, A huge suspended LED screen is the centerpiece of The Place, a popular mall in Beijing, China.

We have to find the length and width of a similar rectangular screen

We are also given that the length is 5 meters more than 3 times its width,

Let width of rectangle be "b" meters, the its length will be 5 + 3b meters

And, the viewable area is 3,850 square meters.

$\begin{array}{l}{\text { So, area }=3850} \\\\ {\text { Length } \times \text { width }=3850} \\\\ {(5+3 b) \times b=3850} \\\\ {5 b+3 b^{2}=3850} \\\\ {3 b^{2}+5 b-3850=0}\end{array}$

Now,let us use quadratic formula:

$\begin{array}{l}{\mathrm{x}=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}} \\\\ {\text { Then, } \mathrm{b}=\frac{-5 \pm \sqrt{5^{2}-4 \times 3 \times(-3850)}}{2 \times 3}}\end{array}$

$\begin{array}{l}{\mathrm{b}=\frac{-5 \pm \sqrt{25+46200}}{6}} \\\\ {\mathrm{b}=\frac{-5 \pm \sqrt{46225}}{6}} \\\\ {\mathrm{b}=\frac{-5 \pm 215}{6}} \\\\ {\mathrm{b}=\frac{-5+215}{6} \text { or } \frac{-5-215}{6}} \\\\ {\mathrm{b}=\frac{210}{6} \mathrm{or} \frac{-220}{6}}\end{array}$

Neglect negative values as width can’t be negative

$b=\frac{210}{6}=35$

so, width = 35 meters, then length = 5 + 3(35) = 5 + 105 = 110 meters

hence, the length and width of the similar rectangular screen are 110 meters and 35 meters respectively.

3 0

3 years ago

Are the two expressions below equivalent. SHOW and EXPLAIN all your

valina [46]

Answer:

No they're not equivalent

Step-by-step explanation:

5(x - 9) + 2x -1 -5(9 - x) - 2x

5x - 45 + 2x - 1 5x - 45 - 2x

7x + 46 does not equal 3x - 45

Explaining isnt my specialty, sorry

8 0

3 years ago

A bedroom has the shape shown. The homeowner is upgrading by putting in new crown molding. How many feet of crown molding does s

Ivahew [28]

Answer: D.

Step-by-step explanation: Add all of the sides' lengths together. The rest of the wall beneath where "5 ft." is measures as 6 ft. Add that to the 5 ft of the rest of the wall and you'll have 11 for the whole right wall. Add 11 to 8, 10 and 12, and you'll have 41 which is close to the last choice so you're safest bet is D.

6 0

4 years ago

Write an expression for "six minus b".<br><br> Please help!!

Evgesh-ka [11]

Answer:

6 - b

Step-by-step explanation:

b doesn't have a value.

7 0

3 years ago