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3 years ago

11

The expresstion 2m +10c gives the amount of money in dollars a desert store makes from selling m muffins and c cakes. How much m

oney does the dessert store make from selling three muffins and four cakes

1 answer:

uysha [10]3 years ago

5 0

Answer:

$46.

Step-by-step explanation:

We plug m = 3 and c = 4 into the given expression:

Money made = 2*3 + 10*4

= $46.

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Write 0.216 as a rational number in lowest terms

lozanna [386]

Answer:

$=\frac{27}{125}$

Step-by-step explanation:

$0.216$

$\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}$

$\mathrm{There\:are\:}3\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\:therefore\:multiply\:and\:divide\:by\:}1000$

$=\frac{0.216\cdot \:1000}{1000}$

$=\frac{216}{1000}$

$216,\:1000$

$\mathrm{The\:GCD\:of\:}a,\:b\mathrm{\:is\:the\:largest\:positive\:number\:that\:divides\:both\:}a\mathrm{\:and\:}b\mathrm{\:without\:a\:remainder}$

$2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}$

$=2\cdot \:2\cdot \:2\cdot \:3\cdot \:3\cdot \:3$

$2,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}$

$=2\cdot \:2\cdot \:2\cdot \:5\cdot \:5\cdot \:5$

$\mathrm{The\:prime\:factors\:common\:to\:}216,\:1000\mathrm{\:are\:}$

$=2\cdot \:2\cdot \:2$

$\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2\cdot \:2=8$

$=8$

$=\frac{8\cdot \:27}{8\cdot \:125}$

$\mathrm{Cancel\:the\:common\:factor:}\:8$

$=\frac{27}{125}$

Hence, the correct answer is $=\frac{27}{125}$

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2 years ago

What are the coordinates of the point (1, –6) after a counter clockwise rotation of 90° about the origin?

IgorLugansk [536]

(-6 ,-1) is the correct answer

4 0

3 years ago

Read 2 more answers

Solve each equation. Show all your work. Round your answers to four decimal places. (a) 7^4x=10,(b)ln(2)+In(4x-1)=5

KengaRu [80]

A.) 7^4x = 10
log base 10 (7^4X) = log base 10 (10)
4x log base 10 (7) = 1
4x (0.8451) = 1
3.3804x = 1
x = 0.2958

b.) ln(2) + ln(4x-1) = 5
ln (2 * 4x-1) = 5
ln (8x-2) = 5
log base (3) (8x-2) = 5
e^5 = 8x-2
e^5+2 = 8x
x = 18.8016

4 0

3 years ago

Megan recently invested $2,000 dollars in a fast-growing company. Her financial advisor expects that Megan's investment will gro

MAXImum [283]

Answer:

2090

Step-by-step explanation:

0.06 × 2000 =120 therefore 120 × 24 =2088. and round off to the cent

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3 years ago

What is the value of x in the equation 6(x +11)= -300?

Kay [80]

Answer:

-61

Step-by-step explanation:

We use the distributive property to distribute 6 to both x and 11. This gives 6x+66=-300. Subtracting both sides by 66 gives 6x=-366. Dividing both sides gives x=-61.

8 0

3 years ago