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cupoosta [38]
3 years ago
13

Rachel made a mosaic from different color rectangular tiles. Three tiles measured 312 inches by 3 inches. Six measured 4 inches

by 314 inches. What is the area of the whole mosaic in square inches?
Mathematics
2 answers:
Elden [556K]3 years ago
4 0
The answer is 10,344:)
astraxan [27]3 years ago
3 0
The answer is 10,344 hope this helps!
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A painter charges by the square foot and charges you $1,875 to paint a 750 square foot rental house. If you need 1300 square foo
Stella [2.4K]

In this question , it is given that

A painter charges by the square foot and charges you $1,875 to paint a 750 square foot rental house.

For 750 square foot, he charges $1875.

So for 1 square foot, he charges

= \frac{1875}{750} = $2.50 \ \per \ square \ foot

And for 1300 square foot, he charges

= 2.50*1300 = $3250

3 0
3 years ago
The LCM of 2 numbers is 60 and 1 of the numbers is 7 less than the other number. What are the numbers?
Phoenix [80]
Let's represent the two numbers by x and y.  Then xy=60.  The smaller number here is x=y-7.

Then (y-7)y=60, or y^2 - 7y - 60 = 0.  Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:

discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191.  Because the discriminant is positive, this equation has two real, unequal roots, which are
        -(-7) + sqrt(191)
y = -------------------------
             -2(1)

and 

        -(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
             -2(1)

Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.


Try thinking this way:  If the LCM is 60, then xy = 60.  What would happen if x=5 and y=12?  Is xy = 60?  Yes.  Is 5 seven less than 12?  Yes.






5 0
3 years ago
Adam has 3 meters of fabric. He plans to cut the fabric into pieces that are ¼ meter long. How many pieces of fabric will Adam h
pickupchik [31]

Answer:

12 pieces of fabric

Step-by-step explanation:

3 / 0.25 = 12

4 0
3 years ago
Solve the equation x+3/x-4 = x-5/x+4
Serga [27]

Answer:

\large\boxed{x=\dfrac{1}{2}}

Step-by-step explanation:

\dfrac{x+3}{x-4}=\dfrac{x-5}{x+4}\\\\\text{Domain:}\ x-4\neq0\ \wedge\ x+4\neq0\\\\x\neq4\ \wedge\ x\neq-4\\\\D:x\in\mathbb{R}-\{-4,\ 4\}

\dfrac{x+3}{x-4}=\dfrac{x-5}{x+4}\qquad\text{cross multiply}\\\\(x+3)(x+4)=(x-4)(x-5)\qquad\text{use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(x)(x)+(x)(4)+(3)(x)+(3)(4)=(x)(x)+(x)(-5)+(-4)(x)+(-4)(-5)\\\\x^2+4x+3x+12=x^2-5x-4x+20\qquad\text{combine like terms}\\\\x^2+(4x+3x)+12=x^2+(-5x-4x)+20\\\\x^2+7x+12=x^2-9x+20\qquad\text{subtract}\ x^2\ \text{from both sides}\\\\7x+12=-9x+20\qquad\text{subtract 12 from both sides}\\\\7x=-9x+8\qquad\text{add}\ 9x\ \text{to both sides}\\\\16x=8\qquad\text{divide both sides by 16}\\\\x=\dfrac{8}{16}\\\\x=\dfrac{8:8}{16:8}\\\\x=\dfrac{1}{2}\in D

7 0
3 years ago
Adjacent, right angles are complementary. always, sometimes, or never
IgorLugansk [536]
Adjacent right angles are Never complementary
7 0
3 years ago
Read 2 more answers
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