You have a total of 21 pens and pencils on your desk. You have 3 more pens than pencils. Write a system linear equations that represent this situation. How many of each do you have?

Answers

Answer 1

Answer:

x + y = 21x - y = 3

Step-by-step explanation:


Related Questions

leo scored 3 out of every 4 questions on a exam. What percentage of the questions did he get right

Answers

75%. He correctly answered 3/4

what is the value of 5/6 divded by 1/2 helpi am bad at math

Answers

Answer:

5/3 or 1 2/3

Step-by-step explanation:

when you multiply fractions, you must 'multiply by the reciprocal'

you keep the first fraction the same, then you change the operation to multiplication, and finally you flip the second fraction so the denominator becomes the numerator and vice versa

5/6 ÷ 1/2 is the same as 5/6 × 2/1 = 10/6

always reduced to lowest terms when you can . . .

10/6 equals 5/3

Answer:

1.6667 as a decimal

Step-by-step explanation:

Hope this helps! Have a great rest of your day!

A piecewise function is represented by the graph below.

On a coordinate plane, a piecewise function has 2 lines. The first line is made up of 2 lines. One line goes from (negative 5, 3) to (negative 1, negative 1) and then goes up to a closed circle at (1, 1). The second line has an open circle at (1, 2) and then continues up through (3, 4).
What is the domain for the piece of the function represented by f(x) = x + 1?

x < –1
–1 ≤ x ≤ 1
1 ≤ x < 2
x > 1

Answers

A piecewise function is used that combines several functions at different intervals.

The domain of the function represented by f(x) = x + 1 is x > 1

The function f(x) = x + 1 is represented by the second line that has an open circle at (1,2) and continues to (3,4)

The open circle at point (1,2) means that, the x value at this point is not included in the domain of f(x) = x + 1

So, the domain of f(x) = x + 1 is x > 1

Read more about piecewise functions at:

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Answer:

D

Step-by-step explanation:

Correct on Edge

A plane travels 460 miles per hour. how many miles does the plane travel in feet per second?

Answers

Answer:

674.667 feet per second

find the derivative of x³/tanx​

Answers

Answer:

Below.

Step-by-step explanation:

We apply the quotient rule:

dy/dx = ( tanx * 3x^2 - x^3 * sec^2x)  /  (tan^2 x)

= x^2( 3tanx - xsec^2x) / tan^2x

Kevin drank
2
3
liter of water Monday before going jogging. He drank
5
7
liter of water after his jog. How much water did Kevin drink altogether? Write your answer as a mixed number.

Answers

Answer:

80 Liters

Step-by-step explanation:

23 + 57 = 80

80 = 57 + 23

What is the slope of the line that connects the points (5, 4) and (-3, 3)?-1/8 1/8 8 -8

Answers

Answer: 1/8

Step-by-step explanation: 3-4 = -1

-3-5= -8

-1/-8=1/8

- 12 \geq - 2 x - 15
[tex] - 12 \geqslant - 2x - 15[/tex]
what is this answer??? plssss help gotta get it done by tomorrow ​

Answers

Answer:

x= -3/5

Step-by-step explanation:

-12>= -2x-15

add 15 to both sides 3>= -2xdivide by -23/-2=x

You have at most $10 to spend on notebooks and markers. Markers cost $1 each, and
notebooks cost $1.25 each. You want to buy at least 5 items. Write an inequality that
represents this situation. Identify and interpret two solutions.

Answers

Answer is provided in the picture uploaded with steps

7 Point Question Tyler was trying to prove that all rhombuses are similar. He thought, “If I draw 2 rhombuses, I can find dilations that will take one rhombus exactly onto the other.” Then he wrote a proof. However, all rhombuses are not similar. Which steps in Tyler’s proof have flaws? Explain what is wrong with each step that is wrong. Step 1: Let ABCD and WXYZ be rhombuses. By the definition of a rhombus, AB≅BC≅CD≅DA and WX≅XY≅YZ≅ZW. Step 2: Dilate rhombus ABCD by the scale factor given by $$ WX AB​. Side A'B' will be the same length as WX because of how I chose the scale factor. Because all sides of a rhombus are congruent, B'C' will be the same length as WX and therefore the same length as XY, C'D' will be the same length as YZ, and A'D' will be the same length as WZ. That means all the corresponding sides of A'B'C'D' and WXYZ will be the same length. Step 3: If all the sides in 2 figures are proportional, then those 2 figures are similar, so there must be a sequence of transformations that take ABCD onto WXYZ using dilations and rigid motions. Step 4: Translate A'B'C'D' by the directed line segment A'W so that A″ and W coincide. Step 5: Rotate A″B″C″D″ by angle B″WX so that B‴ and X coincide. Now segments A‴B‴ and WX coincide. Step 6: If needed, reflect A‴B‴C‴D‴ over segment WX so that D⁗ and Z are on the same side of WX. Now segments A⁗D⁗ and WZ coincide. Step 7: Once 3 vertices of the rhombus are lined up, the other vertex has to line up as well or else the shapes wouldn’t be rhombuses. So, we have shown we can use rigid motions and dilations to line up any 2 rhombuses, and therefore, all rhombuses are similar. (Select all that apply.) Step 1 is incorrect. The definition of a rhombus does not say that all the sides are equal. Step 2 is incorrect. The scale factor is not $$ . Step 3 is incorrect. It is only true for triangles that if all the side lengths in a figure are proportional, the figures must be similar. Step 4 is incorrect. Translating by the directed line segment

Answers

A rhombus can have the same shape and dimension as a square or a

parallelogram, therefore, all rhombuses are not similar.

A step in the proof that have flaws is step 3.

Reasons:

By reading through the given steps, we have, the first step that is incorrect

is step 3.

Step 3: The requirement for the similarity of two figures based on the

proportionality of the corresponding sides of the figures is related with

triangles as given by the triangle proportionality theorem.

This is so because, the lengths of the sides of a triangle depends on the

opposite interior angle, while the side of a rhombus can have a

combination of large length and and acute angle.

Two rhombuses that have proportional sides may be dissimilar,

because they can have different interior angles.

Therefore;

The step in Tyler's proof that have a flaw is Step 3

Learn more about similarity between geometric figures here:

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I need help with this math problem. ​.

Answers

Answer:the answer is a

Step-by-step explanation:

Simplify. Dividing radicals

Answers

Answer:

[tex]\frac{\sqrt[4]{15} }{16}[/tex]

Step-by-step explanation:

You cannot leave a radical in the denominator, so the first step is to get rid of it. The way you do that is by multiplying the radical in the denominator by itself over itself because anything over itself is equal to 1. So, for example in this problem:

[tex]\frac{\sqrt{15}}{\sqrt{16} } *\frac{\sqrt{16}}{\sqrt{16} }[/tex]

From here you multiply straight across. The numerator will be equal to [tex]\sqrt{240}[/tex] and the denominator will be 16 because any radical multiplied by itself cancels the radical out and just equals the number inside of the radical. The last step is to simplify the numerator. You do this by finding factors of 240 which are:

1 * 2402 * 1203 * 804 * 605 * 486 * 408 * 3010 * 2412 * 2015 * 16

You want to use the greatest factor you have so you can break it down easier which in your case is (15 * 16). From here you simplify each of those numbers until you have a duplicate of something. The greatest factor of 15 is 3 * 5, so that won't simplify because there are no duplicate numbers. The greatest factor of 16 is 4 * 4 which means that it will simplify. When you are simplifying the duplicate (4) always goes outside of the radical and the non-duplicate (15) always goes on the inside of the radical. Your answer should look like this:

[tex]\frac{\sqrt[4]{15} }{16}[/tex]

Find the gradient of the line segment between the points (-6,2) and (4,10).
Give your answer in its simplest form.

Answers

Answer:

3

Step-by-step explanation:

gradient/slope/m formula:-

(-6,2) (4,10).

m=(10-4)/(-4-6)

m=6/2

m=3

The answer is 4/5. Use the gradient formula y2-y1/x2-x1

The area of the triangle below is 5.52 square feet.
What is the length of the base?

Answers

Answer:

  4.6 ft

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

Fill in the given values and solve for the base.

  5.52 = 1/2b(2.4)

  5.52/1.2 = b = 4.6 . . . . divide by the coefficient of b

The base is 4.6 feet.

What is the answer to | 6-4|-|3-8|

Answers

Answer:

-3

Step-by-step explanation:

Let's do the sums, and let's remember that the absolute value of a number is the number itself if positive, or it's opposite if negative [tex]|6-4|-|3-8|= |2| -|-5|=2-5=-3[/tex]

Very important question ⁉️​

Answers

Answer:

90°

Step-by-step explanation:

AB and  CD are parallel lines and EF is reversal  

Therefore angles BGH and DHG are consecutive interior angles  

As we know the sum of consecutive interior angles equals to 180°:  

∠BGH + ∠DHG = 180°

Line GP bisects angle BGH , therefore  

m∠PGH = 1/2*m∠BGH

Line HP bisects angle GHD, therefore  

m∠PHG = 1/2*m∠GHD

Sum of two angles of triangle GHP:  

m∠PGH + m∠GHD = 1/2(∠BGH + ∠DHG) = 1/2*180° = 90°

Therefore the missing angle a is:  

∠a = 180° - (m∠PGH + m∠GHD) = 180° - 90° = 90°

what are the next three terms in the sequence below? 2, 5, 10, 50, ___, ___, ___

Answers

Answer:

2, 5, 10, 50, 55, 275, 280

Step-by-step explanation:

hope this heled you.. :)

What is the counter example for the conditional below? if a number is divisible by 6, then it is divisible by 18.

Answers

Answer:

24 is divisible 6 but not 18.

Step-by-step explanation:

The statement in the question is not true. So a counterexample is an example of the statement being false. Consider 24. 24 is divisible by 6, but 24 is not divisible by 18.

The counter example for the expression where a number is divisible by 6 then alternatively it will be divisible by 18 is when the number is 24 or 30

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be n

The number n is divisible by 6

And , the number will be divisible by 18 when it is divisible by 6

Substitute the value of n = { 24 , 30 }

The number n = 24 is divisible by 6 but not divisible by 18

And , The number n = 30 is divisible by 6 but not divisible by 18

Hence , the expression is not valid

To learn more about equations click :

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Robby took his dog to the pet grooming store. The service costs $30. He tips the groomer 25%.
How much in total does the groomer get?

CAN SOMEONE SHOW ME HOW TO DO THE WORK?

Answers

Answer: $37.50

Step-by-step explanation:

You multiply the $30 by the percentage tip so 25% in this case, first make it a decimal that would be 0.25. 30*.25=7.50 then you add the 7.50 to the 30 which is gives you the $37.50

Answer:

$37.50

Step-by-step explanation:

25% of 30 is 7.50   $7.50+$30=$37.50

Solve for x.
(x+16)
(4x-5)°
11
7
9
13

Answers

Answer:

4

3

+

5

9

2

8

0

Step-by-step explanation:

Brinda has come to her aunt's place and wants to play a game on the computer. The computer is shown in the figure. She presses the button marked A and is surprised to find that the computer starts immediately and there is already a file open. Which of the following is the best explanation of what happened?

Answers

Answer:

she clicks the file

Step-by-step explanation:

Find the equation of a line perpendicular to y= 3x + 7 that passes through the
point (9,-7).

Answers

Okay so the gradient of the perpendicular line is -1/3 and then from there u have to solve for the y intercept. Substitute in 9 and -7 where -7 is y and 9 is x. The equation is y=-1/3x-4 :)

Answer:

[tex]y=-\frac{1}{3}x-4[/tex]

Step-by-step explanation:

To find the slope perpendicular to this, take the negative reciprocal of the slope. Basically, invert both the fraction and the negative/positive so that 3 becomes -1/3.

Now, using the new slope and the given point, we can find the y-intercept. Plug the 3 known variables into the equation:

[tex]y=mx+b\\-7=(-\frac{1}{3})(9)+b[/tex]

Then, solve for b:

[tex]-7=-3+b\\-4=b\\b=-4\\[/tex]

Finally, with both the slope and the y-intercept, you can write the equation of the line:

[tex]y=-\frac{1}{3}x-4[/tex]

Given 1 || m , find the value of %.
(7x - 1)
125"
m
Find x

Answers

Answer:x = 18Introduction:

We know that 7x - 1 must equal 125 because of Alternate interior angles. Now, let's solve for x.

Step-by step solution:=> 7x - 1 = 125=> 7x = 126=> x = 126 ÷ 7=> x = 18Conclusion:

Therefore, we can conclude that x = 18.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

[tex]\\ \tt\Rrightarrow 7x-1=125[/tex]

[tex]\\ \tt\Rrightarrow 7x=125+1[/tex]

[tex]\\ \tt\Rrightarrow 7x=126[/tex]

[tex]\\ \tt\Rrightarrow x=126/7[/tex]

[tex]\\ \tt\Rrightarrow x=18[/tex]

5(2+(-9))+-25
HELP
PLZZ

Answers

Answer: -60

Step by step
5 (2 - 9) -25
Start by distributing which will give you
10 - 45 - 25
Combine your like terms giving you
-60

Answer:

-115

Step-by-step explanation:

Using BODMAS

+(-9) = -9

2(-9) = -18

5(-18) = -90

(-90) + (-25) = -90 - 25 =  -115

Write as an equation/inequality: "The product of four and a number is the sum of the number and twelve."​

Answers

Answer: 4x = x+12

Step-by-step explanation:

f(x) = 8x-3 and g(x) =4x +5; find (f /g) (x)

Answers

Answer:

32x + 37

Step-by-step explanation:

f(g(x)) = 8(4x+5) - 3

= 32x + 40 - 3

= 32x + 37

the ratio of boys and girs at rotterdam high school is 3:5. there are 160 students at the school calculate the number of boys and the number of girls at rotterdam high school

Answers

Answer:

There are 60 boys and 100 girls at Rotterdam High School

Step 1: Add the ratios

=> 3 + 5=> 8

Step 2: Divide 160 by 8.

=> 160 ÷ 8=> 20

Step 3: Multiply.

=> Total students of boys: 20 x 3 = 60 students=> Total students of girls: 20 x 5 = 100 students

Therefore, there are 60 boys and 100 girls at Rotterdam High School

Hoped this helped.

[tex]BrainiacUser1357[/tex]

What do the following two equations represent?
. 4x + 2y = 10
• 4x – 2y = –10
Choose 1 answer:
The same line
Distinct parallel lines
Perpendicular lines
Intersecting, but not perpendicular lines

Answers

Answer:

Intersecting but not perpendicular

Step-by-step explanation:

2y=-4x+10= Y=-2x+5

-2y=-4x-10= Y=2x+5

3 out of every 5 students in Mrs. Wilson's class have brown eyes. There are 20 students in Mrs. Wilson's class. How many of the students in Mrs. Wilson's class have brown eyes?

Answers

Answer:

12

Step-by-step explanation:

So there is 3:5 right, so 20 divided by 5 equals 4, there are four 5's in 20.  Then 4 multiplied by 3 equals 12. So there are 12 students that has BROWN EYES.

Hope I Helped You :)

3x-17=x+3 in form ax+b=c

Answers

Answer:

20/3 or 6.66

Step-by-step explanation:

3x-17=x+3      3x=20+x      x=20/3+x      20/3      6.66---

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