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3 years ago

How many solutions does the equation have? 25 - 4x = 15 - 3x + 10 - x

Mathematics

2 answers:

AlexFokin [52]3 years ago

8 0

Both sides are equal, so the equation has infinite solutions.

25 - 4x = 15 - 3x + 10 - x

= 25 - 4x = 25 - 3x - x

= 25 - 4x = 25 - 4x

sweet [91]3 years ago

8 0

It has infinite solutions

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BRAINLIEST <br> Please help ASAP and leave a small explanation :)

Andreas93 [3]

1 and 8 are because they are alternate exterior angles

3 0

3 years ago

What is the compliment of 41°

kozerog [31]

Answer: 49°

Step-by-step explanation:

I'm guessing you meant complement? Complementary angles add up to 90°. 90° - 41° = 49°

3 0

3 years ago

If Ben invests $4500 at 4% interest per year, how much additional money must he invest at 5 1/2% annual interest to ensure that

pogonyaev

$Step \; 1: \; Assing \; variable \; for \; the \; unknown \; that \; we \; need \; to \; find.\\Let \; x \; be \; additional \; money \; invested$

$Step \; 2: \; Use \; the \; appropriate \; formula \; of \; simple \; interest \; set \; up \; an \; equation\\Interest \; earned \; each \; year = \; Amount \; invested \times annual \; rate \; of \; interest\\\\Amount \; invested \; in \; 4 \% \; rate \; of \; interest=\$4500\\Amount \; invested \; in \; 5\frac{1}{2}\% \; rate \; of \; interest= \$x\\Amount \; invested \; totally \; in \; 4\frac{1}{2}\% \; rate \; of \; interest = \$(4500+x)$

$Interest \; earned \; in \; 4\% \; interest \; rate\\ = \; 4500(4\%)=180\\Interest \; earned \; in \; 5\frac{1}{2}\% \; interest \; rate\\ = x(5\frac{1}{2}\%)=0.055x\\Interest \; earned \; totally \; in \; 4\frac{1}{2}\% \; interest \; rate = (4500+x)(4\frac{1}{2}\%)\\=0.045(4500+x)$

$\\\\So, \; the \; equation \; would \; be:\\180+0.055x=0.045(4500+x)$

$Step \; 1: \; Distribute \; 0.045 \; in \; the \; right \; side\\180+0.055x=202.5+0.045x\\\\Step \; 2: \; Subtract \; 0.045x \; and \; 180 \; on \; both \; sides \; to \; get \; x \; alone\\0.055x-0.045x=202.5-180\\\\Step \; 3: \; Combine \; Like \; Terms\\0.01x=22.5\\\\Step \; 4: Divide \; 0.01 \; on \; both \; sides\\\frac{0.01x}{0.01}=\frac{22.5}{0.01}\\\\Step \; 5: \; Simplifying \; fraction \; on \; both \; sides\\x=2250$

$\underline{Conclusion:}\\Ben \; should \; invest \; additional \; money \; of \; \$2250$

5 0

4 years ago

A room has the dimensions shown. A scale drawing of the room is actually 1.5 in. wide. What is the length of the scale drawing?

nata0808 [166]

2 Inch!!!!

heres proof when you need it

7 0

3 years ago

On a map, the perimeter of a field is 0.352 meters. The actual perimeter of the field is 1,000 times as large. What is the actua

Alex777 [14]

Answer:

The actual perimeter of the field is 352 meters

Step-by-step explanation:

Given;

the perimeter of a field is 0.352 meters

the actual perimeter of the field is 1,000 times as large

let the perimeter of the field = p

the the actual perimeter of the field = T

Given;

P = 0.352 m

T = 1000 x p

T = 1000 x 0.352

T = 352 m

Therefore, the actual perimeter of the field is 352 meters

5 0

3 years ago