A bookshelf sits on top of a large desk. Together, their height is 6.75 feet. The difference between their heights is 1.85 feet. How tall is the bookshelf?? Let the height of the bookshelf = x and the height of the desk = y.

Answers

Answer 1

Answer: 4.9

Step-by-step explanation:

Answer 2

The height of the bookshelf is 4.3 feet and the height of the desk is 2.45 feet.

What is the system of equations?

Simultaneous equations are any one or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is a simultaneous equation.

Given:

A bookshelf sits on top of a large desk.

Together, their height is 6.75 feet.

The difference between their heights is 1.85 feet.

Let the height of the bookshelf = x and the height of the desk = y.

x + y = 6.75   {equation 1}

x - y = 1.85    {equation 2}

Add both equations,

we get,

2x = 6.75 + 1.85

2x = 8.6

x = 4.3

And from equation 2,

y = 2.45

Therefore, the solution is x =4.3 and y = 2.45.

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Related Questions

What is 87B -179+957÷87

Answers

Answer:

8,677

Step-by-step explanation:

because the chemical in 87b is the same as 17yu so it would be 8,677.

PLEASE ANSWER I AM BEGGING YOU THIS IS RLLY CONFUSING AND I JUST WANT TO GET IT OVER WITH

Answers

6.

the y-intercept is 4, which means the line crosses the y-axis at the point (0,4).

[just put a dot on the number four that's right under the letter y]

the slope of the line is positive, so it goes up from left to right.

Start at the y-intercept. Move up 2 and then move right 1.

You are now at the point (1,6).

[go to 1 for the horizontal line, then go up 6 spaces.] [connect two points]

7. y= -1/2-3

8. y=3x+4

10. The table below shows the sales for a flower company for the years 2007 through 2012. Answer the given questions about
this table on your answer sheet.
14 -
A) Graph the data on the scatter plot and draw a line of best fit for the data.
FLOWER SALES
$420
Sales
$395
Year
(in
thousands)
Sales in
$370
2007 $305
thousands)
2008
$345
$330
2009
$345
$330
2010
$370
$305
2007 2008 2009 2010 2011 2012
2011
$395
2012
$420
year
B) Write an equation for the line of best fit for this data.
Let x represent the years since 2007 and y represent the
sales, in thousands of dollars.
C) According to your equation, in what year will the
sales reach about $500 (in thousands)? Use
mathematics to explain how you determined your
answer

Answers

Five exterior angles of a hexagon are 41° 32°,67º 71°, and 55°, What is the measure of the sixth exterior
angle?
Can yo help me w this pls

Consider random samples of size 900 from a population with proportion 0.65 . Find the standard error of the distribution of sample proportions.

Answers

Answer:

The value is [tex]\sigma_{p} = 0.022[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  900

    The population proportion is  [tex]p = 0.65[/tex]

Generally the standard error of the distribution of sample proportion is mathematically represented as

       [tex]\sigma_{p} = \sqrt{\frac{ p(1 - p)}{ n} }[/tex]

=>     [tex]\sigma_{p} = \sqrt{\frac{ 0.65 (1 - 0.65 )}{ 900} }[/tex]

=>     [tex]\sigma_{p} = 0.022[/tex]

When rolling a die what is the chance of getting a 3

Answers

The chance of rolling a die and landing on a three is 1/6. The reason for this is because there are 6 sides on a die, and only one 3 on the die.

Help me answer this its due in like 3mins!! ILL GIVE YOU A BRAILLEST

Answers

Answer:

0.15 or 3/20

Step-by-step explanation:

Answer:

3/20

Step-by-step explanation:

9/10 = 0.9

0.9/6 = 0.15

0.15 = 3/20


After a 15% increase, a town has 115 people. What was the population before the increase?

Answers

Answer:

100 people

Step-by-step explanation:

Population Of People=115Percentagencrease=15%

The New Population corresponds to 115%

(That is 100+15)

We want to find the population that corresponds to 100% that is the original population.

Therefore Original Population;

[tex] \frac{100}{115}\times {115}{} [/tex]

[tex]100 \: people[/tex]

How to find the value of x

Answers

71°. Both angles are the same because both sides are the same length (21). 180°, the total amount of degrees in a triangle, minus 38. 142 is what you get. Divide that by 2

What is the relationship between the continental drift hypothesis and the theory of
plate tectonics?

Answers

Answer:

Plate tectonics explains why Earth's continents are moving; the theory of continental drift did not provide an explanation. Therefore, the theory of plate tectonics is more complete. It has gained widespread acceptance among scientists.

Step-by-step explanation:

Do some research on it.

I need help with 10 please!!!!!!!

Answers

From the graph, [tex]y=mx+b[/tex] and m < 0 (The slope right here is less than 0.)

That means cut ( b ) and ( d ) choice, they both are wrong.

Now look at ( a ) and ( c ).

For ( a ) It's just f(x) = -2x but the graph that's shown here intercepts y-axis at (0,2).   f(x) = -2x is just slope and intercepts y-axis at (0,0)

So the answer is ( c )

HELP ASAP 6TH GRADE MATH

Answers

Answer:

The answer is C

Step-by-step explanation:

Bruh. This guy lazy

What is an expression equivalent to 5x+10 using the distributive property?​

Answers

Answer:

5x + 10

Step-by-step explanation:

I did the math and checked. :)

Multiply two and four-fifths negative five and two-thirds

Answers

The answer is -25/3.



If you need it simplified let me know.

plese help
plese
plese

Answers

B 25% percent because 15/60 is 25
Answer: C
15 seats were empty, so 45 out of 60 seats were taken. 45 divided by 60 is 0.75, which is 75%

bla lee la. la la lee bla​

Answers

Answer:laaa vidas so las vi vi ras ony laa viras so las vi vi ras

Step-by-step explanation:laaaa vidas so las vi vi ras boty hastice hastice sola vi vi rasss*birb falling*

x + 3y = 13
- 3x + 2y = 27 steps on how to solve by substitution

Answers

here x+3y=13

x=13-3y.....1st equation

-3x+2y=27......2nd euation

now putting the value of x from equation 1st in 2nd we will get

-3(13-3y)+2y=27

-49+9y+2y=27

11y=27+49

y=76÷11

y=6.9

now again putting the value of y in equation 1st we get

x=13-3×6.9

x=13-20.7

x=7.7

not sure need help ​

Answers

Answer:

A (1,-3)

Step-by-step explanation:

it is asking where on the graph is each point. it even gives you where it is located.

The coordinates of the triangle A"B"C" are A"(3, 2), B"(-1, 4) and C"(2, 0).

From the given graph, the coordinates of triangle ABC are A(1, -3), B(5, -1) and C(2, -5).

1) We know that, the reflection of point (x, y) across the y-axis is (-x, y).

Here,

A(1, -3)→A'(-1, -3)

B(5, -1)→B'(-5, -1)

C(2, -5)→C'(-2, -5)

2) The transformation with <4, 5> are

A'(-1, -3)→A"(-1+4, -3+5)

= A"(3, 2)

B'(-5, -1)→B"(-5+4, -1+5)

= B"(-1, 4)

C'(-2, -5)→C"(-2+4, -5+5)

= C"(2, 0)

Therefore, the coordinates of the triangle A"B"C" are A"(3, 2), B"(-1, 4) and C"(2, 0).

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2/3 divided by 2 1/2

Answers

Step-by-step explanation:

Step 1: Multiply to get the lowest common denominator

Step 2: reciprocate thw second fraction(flipping the values)

Step 3: Cancel out values.

Which of the following is a biconditional statement?
Question 17 options:

A)

If x ≠ 5 then x2 ≠ 25

B)

If x2 = 25, then x = 5 or x = –5

C)

x = 5 if x2 = 25

D)

x = 5 if and only if x + 5 = 10

Answers

It is D

I just took the test and got it right

The biconditional statement is x = 5 if and only if x + 5 = 10.

Option D is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Biconditional statement.

This means,

The statement and its converse are both true.

Now,

x = 5 if and only if x + 5 = 10

This shows that both the statement and its converse are true.


Thus,

x = 5 if and only if x + 5 = 10 is a biconditional statement.

Learn more about expressions here:

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i’m slow , can i get help on this asap please ?

Answers

140°
Pentagons add up to 540° so if you add all the degrees you get 400° and if subtracted from 540° you get 140°

Salvador is 15 years older than Elizabeth. In 6 years, the sum of their ages will be 87. How old are they now?​

please include and explantation

Answers

Answer:

????

Step-by-step explanation:

 

Find the distance between the points (-3, -6) and (1, -2).

Answers

Answer: -3 - 1 = -4

Your Answer I think is -4 Hope This helps If I'm Wrong I apoligize.

Help??????????????????????

Answers

Answer:

i think A diagonals

just a guess ok

Tracey paid $130 for an item that was originally priced at $500. What percent of the original price did Tracey pay?

Answers

Answer:

2.6%

Step-by-step explanation:

Set up a proportion: [tex]\frac{130}{500} = \frac{x}{100}[/tex]  Cross multiply, then divide: 130 × 100 = 1300, 1300 ÷ 500 = 2.6So, Tracey spent 2.6% of the original price

I hope this helps!

Convert 49 degrees to radians. Use 3.14 for \piπ. Round to the nearest hundredth.

Answers

49° × π/180 = 0.8552 radians.
after rounding to nearest hundredth is 0.86

What is Y

0.7+y=−1.34
y=

Answers

Answer:

y = -2.04

Step-by-step explanation:

0.7 + y = -1.34

~Subtract 0.7 to both sides

y = -2.04

Best of Luck!

A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive. What is true about spinning the spinner one time? Select three options. S = {1, 2, 3, 4, 5, 6, 7, 8} If A is a subset of S, A could be {1, 2, 3}. If A is a subset of S, A could be {7, 8, 9}. If a subset A represents spinning a number less than 4,then A = {1, 2, 3, 4}. If a subset A represents the complement of spinning an odd number, then A = {2, 4, 6, 8}.

Answers

Answer: A, B, and E

Step-by-step explanation:

The true statements are (A) A could be {1, 2, 3} and (B) A could be {1, 2, 3, 4}, where A  is a subset of S

How to determine the true statements?

The sample space is given as:

S = {1, 2, 3, 4, 5, 6, 7, 8}

The possible subsets of S are as follows:

Even numbers = {2,4,6,8}Odd numbers = {1,3,5,7}Any number or group from 1 to 8, inclusive

Using the above highlights, the possible set of A are:

A could be {1, 2, 3}. A = {1, 2, 3, 4}.

Hence, the true statements are (A) and (B)

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Write a fraction that is equal to 5

Answers

Answer:

5/1

Step-by-step explanation:

The number of patients who reported that a new drug had relieved their pain. discrete or continuous?

Answers

Answer:

Continuously

Step-by-step explanation:

Continuously

The average weight of 6 people in an elevator is 173 pounds. A 7th person gets on and now the average weight is 165 pounds. How much did the 7th person weigh?

Answers

8 pounds because you divide
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