In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using smaller type, a page contains 2,400 words. The article is allotted 21 full pages in a magazine. How many pages must be in smaller type

Step 1: We have the next system of equations -

[tex]2x - 3y = 13[/tex]

[tex]x + 2y = 4[/tex]

Step 2: Now, we will multiply by -2 the second equation:-

[tex] - 2(x + 2y) = 4[/tex]

[tex]→ - 2x - 4y = - 8[/tex]

Step 3: Then we add it :-

[tex]2x - 3y = 13[/tex]

[tex]( + ) \: - 2x - 4y = - 8[/tex]

Step 4: After finding the sum, we simplify:-

[tex] - 7y = 5[/tex]

[tex]→y = - \frac{5}{7} [/tex]

Then, substitute the above y value to find x's value in any equation of Step 1. Now, I used to second equation in Step 1:-

[tex]x = - 2( \frac{ - 5}{7}) + 4[/tex]

Step 5: Then simplify :-

[tex]y = \frac{38}{7} [/tex]

Therefore, the final answer is :-

[tex]x = \frac{38}{7} [/tex]

and

[tex]y = \frac{5}{7} [/tex]

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Answered by Benjemin360 ☺️

Answer:

segment addition postulate

the second answer is true

Step-by-step explanation:

my teacher taught me this recently

Answer:

25021/50 ft.

Step-by-step explanation:

Convert decimal to fraction, 50042/100 ftReduce the fraction: 25021/50 ft

More Explanation on Rational Numbers:

Rational numbers are the numbers which can be written as fraction of a/b where a,b be any integer and b≠0. They are finite and recurring decimals.

For example:- 0.2 is a rational number and can be written as 2/10 or 1/5.

Irrational numbers are the numbers which can not written as fraction and they are non-terminating .

For example: The √2 [square root of 2] is also an irrational number. After simplifying,it would be written as 1.41421356237…so on ,but the numbers go on into infinity and do not ever repeat, and they do not ever terminate.

Have a great day! :D

Answer:

2 d>7 because at first you have to distance how much hours is from Virginia to Florida and thats approximately 12hrs and 33 minutes so, d is greater than 7 hours

Answer:

Acute is correct.  It should not be confused with the girl at the desk ahead.  She's a cutie.  Cuties all have angles, so caution.

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

You multipliy 7x4 and you get 28 now you add the 40+28=68.

Answer:

112

Step-by-step explanation:

8 days when fitted into a half (1/2) gives you 16

7 times 16 gives the answer of 112 (people needed)

Answer:

112 people to do it in 1/2 of a day

Step-by-step explanation:

7 · 8 = 56

56 ÷ ½ = 112 people to dig a ditch in 1/2 of a day

Answer:

The measure of ∠ADC = 145°

Step-by-step explanation:

ABCD is a Parallelogram.

AB is produced to E .

∠CBE = 35°

We know that

∠ABC + <CBE = 180[tex]\degree[/tex]

Since , they are linear pair

➜ ∠ABC + 35° = 180°

➜ ∠ABC = 180°-35°

➜ ∠ABC = 145°

We know that

In a Parallelogram, Opposite angles are equal.

➜ The opposite angle of ∠ABC = ∠ADC

➜ ∠ADC = 145°

Therefore, The measure of ∠ADC = 145°

Similar Questions

In the accompanying diagram of the parallelogram ABCD, AB is extended to E such that CB is congruent to CE. If m< ADC = 100, what is m<CEB?

https://brainly.com/question/22056209?referrer

Answer: C

Step-by-step explanation: 10 times 1/2

Answer:

C. 5 Pounds

Step-by-step explanation:

Total of 10 friends divide that by 2 you get five so you would do 5 times to would be 10 (sorry if i explained that weirdly)

The population of Ohio will be 10 million in the year 1970

The population growth of Ohio is represented by the function:

[tex]P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}[/tex]

P is the population in millions

t is the number of years since 1900

To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

[tex]10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7[/tex]

t = 70 years (to the nearest whole number)

70 years after 1900 will be 1970

Therefore, the population of Ohio will be 10 million in the year 1970

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Answer:

Step-by-step explanation:

Both of the triangles are isosceles as marked on the diagram.

The right triangle has missing angles of:

The missing angles of the bigger triangle:

Answer:

10.

Step-by-step explanation:

If you're subtraction a negative number, you are basically adding a positive number. 5-(-5) = 5+5.

Hey there!

GUIDE:

2 negatives = positive

2 positives = positive

1 negative & 1 positive = negative

1 positive & 1 negative = negative

Negatives are BELOW 0 and they are to the LEFT of 0

Positives are ABOVE 0 and they are to the RIGHT of 0

ANSWERING the QUESTION

5 - (-5)

= 5 + 5

= 10

Therefore, your answer is: 10

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

y= -x-1

Step-by-step explanation:

(x1,y1) = (-1,0) ; (x2,y2) = (0,-1)

y=mx+b

m=[tex]\frac{y2-y1}{x2-x1}[/tex]=[tex]\frac{-1-0}{0-(-1)}[/tex]=[tex]\frac{-1-0}{0+1}[/tex]=[tex]\frac{-1}{1}[/tex]=-1

Then substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to find b.

y=mx+b

0=(-1)(-1)+b

0=1+b

0-1=1-1+b

b=-1

Then substitute b and m to get the equation.

y=(-1)x+(-1)

y= -x-1

Answer:

Step-by-step explanation:

28 > 6x - 2

28 + 2 > 6x - 2 + 2

30 > 6x

5 > x or x < 5

$200

Simple interest is the same value of interest each year. It is based on the original value. The original value here is $5000.

You must find 2% of the $5000 dollars. This is 0.02 * 5000, or $100.

The question asks for the value after two years, so you must double this to $200.

The question asks how much interest he is paid, which does not include the original $5000. The answer is therefore $200.

Answer:

$4811

Step-by-step explanation:

Initial price = 35,000

18% decrease anually = 18/100 = -0.18

after 10 years

substitute these values in the formula shown in below figure

A = 35000 * ( 1 + -0.18/1  ) ^10

= 35000 * 0.82^10

= 4,810.681

= $4811

Step-by-step explanation:

9.75/.75 = 13

which means the race is divided into 13 equal section according to the question in which each section is 0.75 m long.

as 4 volunteers are needed in each section

so keeping this in mind 13×4 = 52

therefore, 52 volunteers race organizer need.

hope this answer helps you dear! take care

Answer:

thirty-first ordinal. being or denoting a numerical order in a series.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Substitute the coordinates of the points into the left side of the equation and if equal to the right side then the point lies on the line.

(4, 2 ) → 15(4) + 60(2) = 60 + 120 = 180 ← point on line

(12, 1 ) → 15(12) + 60(1) = 180 + 60 = 240 ← point not on line

(0, 3 ) → 15(0) + 60(3) = 0 + 180 = 180 ← point on line

(8, 1 ) → 15(8) + 60(1) = 120 + 60 = 180 ← point on line

The point (12, 1 ) is not on the line → c

Answer:

q = - [tex]\frac{7}{18}[/tex]

Step-by-step explanation:

q + [tex]\frac{5}{9}[/tex] = [tex]\frac{1}{6}[/tex]

Multiply through by 18 ( the LCM of 9 and 6 ) to clear the fractions

18q + 10 = 3 ( subtract 10 from both sides )

18q = - 7 ( divide both sides by 18 )

q = - [tex]\frac{7}{18}[/tex]

Answer:

3.70

Step-by-step explanation:

Answer:

  a. $58.75

  b. 3.75p +5.00d

Step-by-step explanation:

As with any sort of purchase, the cost for a number of items of the same kind is the product of the number of items and the cost of each. For several different items, the total cost is the sum of the costs of each of the kinds of items. If you do any shopping, you know this.

5 popcorn and 8 drinks cost 5($3.75) +8($5.00) = $18.75 +40.00 = $58.75

__

p popcorn and d drinks cost p($3.75) +d($5.00) = 3.75p +5.00d . . . . dollars

Answer:

The scuba diver is 27 feet below sea level.

-

Hope this will assist you.

The position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

Since a fish swims 6 feet directly above a scuba diver, and the fish suddenly dives to double its depth under the surface of the ocean, and the fish dives to a depth of −42 feet, to determine what is the position of the scuba diver relative to the surface of the ocean, the following calculation must be performed:

Therefore, the position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

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Answer:

this question is a very simple. you should start with the biggest triangle then follow the steps to find each side of other triangles. THE ANSWER İS ROOT FORTY ONE

Step-by-step explanation:

these are all right-angled triangles. even the smallest one with the x side.

so, we need to apply Pythagoras to get the missing sides and finally x.

c² = a² + b²

c is the Hypotenuse, the baseline of the triangle opposite of the 90 degree angle. a and b are the legs of the triangle enclosing the 90 degree angle.

so,

52² = 48² + side1²

2704 = 2304 + side1²

400 = side1²

side1 = 20

20² = 12² + side2²

400 = 144 + side2²

256 = side2²

side2 = 16

13² = 5² + (larger part of side2)²

169 = 25 + (larger part of side2)²

144 = (larger part of side2)²

larger part of side2 = 12

that means the smaller part of side 2 = 16-12 = 4.

x² = 5² + 4² = 25 + 16 = 41

x = sqrt(41)

So, D is the right answer option.

Answer:

The discount is $18.

Answer:

37/8

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 4625 and 1000 is 125.

4625 ÷ 1251000 ÷ 125.

Reduced fraction: 378. Therefore, 4625/1000 simplified to lowest terms is 37/8.

Answer:

35

Step-by-step explanation:

It is asking you for the absolute value which is the distance from zero. Picture it on a number line. It is 35 spaces from zero.

I hope this helps!!!

Answer:

C)  35

Step-by-step explanation:

The absolute value of a number can be thought of as the distance the number is from zero on a number line. A distance is never a negative number. It can be zero or a positive number.

Asking what is |-35|, the absolute value of -35, is the same as asking "how far is -35 from zero on a number line?" The answer is 35.

To find the absolute value of a number do this:

If the number is zero, then its absolute value is 0. |0|= 0

If the number is positive, then the absolute value is just the number. For example, |9| = 9

If the number is negative, then just drop the negative sign. Example: |-3| = 3

Answer:

141 stickers

Step-by-step explanation:

212-47=165

165-24= 141 stickers

Answer:

Thanks for the points, I will change my answer when you re-upload okay

:)

Answer:

Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.

Answer:

Peter swam 12 hours, Pam swam 6

Step-by-step explanation:

Pam = x

Peter = y

y = 2x (this is because Peter swam twice as much)

y + x = 18 (this is because they both swam a total of 18 hours)

2x + x = 18 (substitute for y)

3x = 18

x = 6 (pam)

Now, I just need to substitute x = 6 into original equation.

y = 2(6)

y = 12 (peter)

Answer:

Peter- 12 hours

Pam- 6 hours

Step-by-step explanation:

You can set it up an an equation.

P = Peter

18= P + (P/2)

Solve.

36=2P+p

36=3P

P=12

Peter swam 12 hours.

Then 18-12= 6, Pam's number of hours.