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3 years ago

Solve for x: -2(x + 3) = -4x + 20

Mathematics

1 answer:

Phantasy [73]3 years ago

4 0

Answer:

Step-by-step explanation:

Lets start with 13

-2(13 + 3) = -4(13) + 20

-32 = -52 + 20

-32 = -32

x = 1 basically

now 19

-2(19 + 3) = -4(19) +20

-44 = -76 + 20

-44 = -56

so divide those

-2(31 + 3) = -4(31) + 20

-68 = -124 + 20

-68 = -104

divide them

-2(37 + 3) = -4(37) + 20

-80 = -148 + 20

-80 = -128

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Jessica is measuring two line segments. The first line segment is 30 cm long. The second line segment is 500 mm long. How long a

ElenaW [278]

Answer:

80 cm

Step-by-step explanation:

To find the length of both segments together, convert the lengths into one unit measure. Convert 500 mm into centimeters by dividing it by 10. 500/10 = 50 cm. Now add 30 + 50 = 80 cm. The segment is 80 cm long.

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3 years ago

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Kate bought a T-shirt for $12.95 and a pair of shorts for $10.95. She paid 6.25% in tax. What is her total amount that she paid?

sergeinik [125]

Kate paid $25.39 for her purchases.

Kate will receive $24.61 in change.

Step-by-step explanation:

Given,

Cost of t-shirt = $12.95

Cost of pair of shorts = $10.95

Total = cost of t-shirt + cost of pair of shorts

Total = 12.95 + 10.95 = $23.90

Sales tax = 6.25% of total amount

Amount of sales tax = $\frac{6.25}{100}*23.90=\frac{149.375}{100}$

Amount of sales tax= $1.49

Total amount with sales tax = 23.90 + 1.49 = $25.39

Kate paid $25.39 for her purchases.

Amount paid = $50

Change received = Amount paid - Bill amount

Change received = 50 - 25.39 = $24.61

Kate will receive $24.61 in change.

Keywords: sales tax, addition

Learn more about addition at:

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2 years ago

Solve for x. 740 7(2x + 8) 5xº

Anna11 [10]

Answer:11.7

Step-by-step explanation:

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3 years ago

Write the first 4 terms in the sequence defined by the explicit rule f(n)=n^2 - 5 *n^2 means n squared

Deffense [45]

The question did not spesify the stating value for n.

Assuming, n = 0 is the starting value.

1st term is when n = 0:
f(0) = (0)^2 - 5 = 0 - 5 = -5

2nd term: f(1) = (1)^2 - 5 = 1 - 5 = -4

3rd term: f(2) = (2)^2 - 5 = 4 - 5 = -1

4th term: f(3) = (3)^2 - 5 = 9 - 5 = 4

Therefore, the first 4 terms are: -5, -4, -1, 4.

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3 years ago

(5x^3-8x^2+9x+12)/(x-3) please answer with sentences on how to do it step by step. thanks!

Anastaziya [24]

Answer:

$5x^2+7x+30+\frac{102}{x-3}$

Step-by-step explanation:

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}5x^3-8x^2+9x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{5x^3}{x}=5x^2\\\mathrm{Quotient}=5x^2\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}5x^2:\:5x^3-15x^2\\\mathrm{Subtract\:}5x^3-15x^2\mathrm{\:from\:}5x^3-8x^2+9x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=7x^2+9x+12\\\mathrm{Therefore}\\=5x^2+\frac{7x^2+9x+12}{x-3}$

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}7x^2+9x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{7x^2}{x}=7x\\\mathrm{Quotient}=7x\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}7x:\:7x^2-21x\\\mathrm{Subtract\:}7x^2-21x\mathrm{\:from\:}7x^2+9x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=30x+12\\\mathrm{Therefore}\\=5x^2+7x+\frac{30x+12}{x-3}\\$

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}30x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{30x}{x}=30\\\mathrm{Quotient}=30\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}30:\:30x-90\\\mathrm{Subtract\:}30x-90\mathrm{\:from\:}30x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=102\\\mathrm{Therefore}\\=5x^2+7x+30+\frac{102}{x-3}$

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2 years ago

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