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Nikolay [14]
3 years ago
11

the sum of two numbers is 70. the larger number is five less than twice the smaller number . what are the two numbers

Mathematics
1 answer:
earnstyle [38]3 years ago
3 0
X+y=70
x=2y-5
x=larger number
y=smaller number
now plug in the value of x to only have one variable in the equation...
Way to solve for y:
(2y-5)+y=70
3y-5=70
add 5 on both sides...
3y=75
divide by 3 on both sides
y=25
1st way to solve for x:
now plug in y in the original equation...
x+25=70
subtract 25 on both sides...
x=45
2nd way to solve for x:
plug in y for the second equation...
x=25(2)-5
x=50-5
x=45
answer: the two numbers are 45 and 25.

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Solve for x round to the nearest tenth. Show steps!
Dvinal [7]

Answer:

\large\boxed{x\approx56.44}

\large\text{It's close to 55.0}

Step-by-step explanation:

\tan12^o\approx0.2126\\\\\tan12^o=\dfrac{12}{x}\to\dfrac{12}{x}=0.2126\qquad\text{convert the decimal to the fraction}\\\\\dfrac{12}{x}=\dfrac{2126}{10000}\qquad\text{cross multiply}\\\\2126x=120000\qquad\text{divide both sides by 2126}\\\\x=\dfrac{120000}{2126}\\\\x\approx56.44

8 0
3 years ago
Figure I and Figure II are similar figures,
ELEN [110]

The ratio of corresponding sides is same for all the sides for similar polygon. the correct proportion is,

\frac{ST}{EF}=\frac{WR}{CD}

Thus the option H is the correct option.

To find the correct proportion we need to know about the properties of slimier polygon.

<h3>What are the properties of similar polygon?</h3>

Two polygons are said to be similar or congruent pentagon-

The corresponding angle of two pentagons are congruent.

The ratio of corresponding sides is same for all the sides.

The figure given in the problem of similar two polygons with six sides.

Rearrange the second figure as shown in figure.

As for the similar polygons, the ratio of corresponding sides is same for all the sides.

Thus the sides shown in the two rearranged figure must be same. Therefore,

\frac{ST}{EF}=\frac{WR}{CD}

Hence the correct proportion is,

\frac{ST}{EF}=\frac{WR}{CD}

Thus the option H is the correct option.

Learn more about the similar polygon here;

brainly.com/question/771807

8 0
2 years ago
An 8-foot roll of wrapping paper costs $12.48. What is the price per inch?
Kisachek [45]

The price of this wrapping paper per inch is equal to $1,198.08.

<u>Given the following data:</u>

  • Cost of wrapping paper = $12.48.
  • Length of wrapping paper = 8 foot.

To determine the price of this wrapping paper per inch:

<h3>How to solve the problem.</h3>

In this exercise, you're required to solve for the cost of an 8-foot roll of wrapping paper that costs $12.48. Thus, we would convert the length of this wrapping paper in foot to inch and then multiply by $12.48.

<u>Conversion:</u>

1 foot = 12 inch

8 foot = X inch

Cross-multiplying, we have:

X = 8 \times 12

X = 96 inch

For price per inch:

Price = 12.48 \times 96

Price = $1,198.08

Read more on word problems here: brainly.com/question/13170908

3 0
2 years ago
PLEASE HELP!!!
GalinKa [24]

Answer:

14-5i

Step-by-step explanation:

Distribute using FOIL

12+3i-8i-2i^2

i^2 = -1

12+3i-8i-2(-1)

12+3i-8i+2

Combine like terms

14-5i

4 0
3 years ago
Luis bought a pair of pants and a shirt He spent $15 on the pants. He bought five shirts that each cost d dollars less than the
Natali5045456 [20]
15=pants
d less than pants means
15-d

5 of them
5(15-d)=cost of shirts

so total cost=15+5(15-d)
3 0
3 years ago
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