Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books.
This system of equations models the number of books.
x + y = 26
x – y = 12
Elliot added the two equations and the result was 2x = 38.
Solve the equation. How many fiction books does Elliot have?
fiction books
How many nonfiction books does Elliot have?
nonfiction books
Answers
Answer:
fiction= 19 books
non-fiction= 7 books
Step-by-step explanation:
hope this helps :)
Answer:
I'm terrible at explaining so here's a screenshot
- Ripper
Step-by-step explanation:
Related Questions
What is the difference between the SSS/SAS congruency postulate and the SSS/SAS similarity postulate?
Help Please!!!!
Answers
Answer:
This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. And third, there's the ASA postulate.
Step-by-step explanation:
Googled it. Hope this helps
Find the slope of a line parallel to a line containing points (3,-5) and(1,7)
Answers
Answer:
Required slope = - 6
Step-by-step explanation:
Parallel lines have same slope.
(x₁ , y₁) = (3 , -5) & (x₂ , y₂) = (1, 7)
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{7 - [-5]}{1-3}\\\\=\frac{7+5}{1-3}\\\\=\frac{12}{-2}\\\\= -6[/tex]
Slope of the a line parallel to a line = -6
The measures of the angles of a triangle are shown in the figure below. Find the
measure of the smallest angle.
(4x)
(x+18)
112°
Answer:
Submit Answer
Answers
4x +(18+x)+112=5x+19.9548
0.333333(5x+19.9548)
9514 1404 393
Answer:
28°
Step-by-step explanation:
The sum of angles in a triangle is 180°, so we have ...
(4x) +(x +18) +112 = 180
5x = 50 . . . . . . . subtract 130
x = 10
Then the two acute angles are ...
(4x)° = (4·10)° = 40°
(x+18)° = (10+18)° = 28°
The measure of the smallest angle is 28°.
Determine the area of squre ABCD with AB=3cm
Answers
Answer:
Area: [tex]9 cm^{2}[/tex]
Step-by-step explanation:
Since all sides of a square have equal lengths, the area of the square is [tex]a^{2}[/tex] (a = length of a side).
Since the length of the side of the square is given (is 3cm), the area of the square is [tex](3cm)^{2}[/tex] = [tex]9cm^{2}[/tex]
Answer:
9
Step-by-step explanation:
3 by 3 is 9
Select all expressions that are equivalent to 5% of 200.
А 1/20 X 200
B 1/5 x 200
С 1/2 • 200
D 10
E 5
Answers
D.10
To figure out what 5% of 200 is, you would multiply 200 by .05.
To figure out if 1/20 of 200 is 10, simply divide 200 by 20.
Hope that helps!
What are the roots of the polynomial equation x* – 25x² + 144 = 0?
A -16, -9
В. 4 9
16, 9
D. -4,-3,3,4
Answers
(-2-I)^2
Help !!!!!!!!
Answers
Answer:
The answer is 9.
Step-by-step explanation:
(-2-1)^2
(-3)^2
A negative times a negative equals a positive.
When you square something you multiply it by itself.
(-3)^2
=9
5x+9−2x+13=67 solve the equation
Answers
Answer:
5x+9−2x+13=67
3x+9+13=67
3x+22=67
3x=45
x=15
Mark brainliest!!
Step-by-step explanation:
3x + 22 = 67
3x = 67 - 22
3x = 45
x = 45/3
put the this is ur calculator and u will get the answer
Set up and solve an equation to find x.
Answers
1/4(z +3z)+ 7=−z + 1 please help with this ive been stuck
Answers
1/4(4z)+7=-z+1
Then multiply 1/4 by 4z. You’ll get:
z+7=-z+1
Love like terms to the same side. I wanted to have the variable positive on time, so I moved variables to the left and constants to the right. You’ll get:
2z=-6
Divide both sides by 2. You’ll get :
z=-3
I need help with this 9/2 divided by 2/9
Answers
Answer:
20.25
Step-by-step explanation:
decimal form- 20.25
fraction form- 81/4 simplified-20 1/4
Divide and simplify 7 3/5 divided by 4 easy question (:
Answers
Answer:
1 9/10
Step-by-step explanation:
Convert 7 3/5 to improper fraction. Use this rule a/bc
7x5+3
5
4
Simplify 7\times 5 to 35.
Nvm I just give u the answer
Answer:
1.9
Step-by-step explanation:
3. PLEASE HELP! Jenna just opened a checking account at the bank. Within the first month, she deposited three checks for $34.98, $51.02, and $51.22. She withdrew $5.23 for new pencils, $5.22 for cards, and $7.89 for movies from her account in the same month.
(a) Write Jenna's withdrawals as negative rational numbers and her deposits as positive rational numbers.
(b) Order the rational numbers from least to greatest and explain your reasoning.
(c) What is the greatest deposit within Jenna's account so far?
Answers
Answer:C) She would have $216.88.
Step-by-step explanation:
A) Deposits: +34.98; +51.02; +51.22
Withdrawals: -5.23; -5.22; -7.89
B) -7.89, -5.23, -5.22, +34.98, +51.02, +51.22
The smallest amount will be the largest withdrawal, as it takes away from the account; the largest amount will be the largest deposit, as it adds to the account.
98 + 34.98 = 132.98 + 51.02 = 184.00 + 51.22 = 235.22 - 7.89 = 227.33 - 5.23 = 222.10 - 5.22 = 216.88
What are three different ratios that are equivalent to the ratio 3:11.?
Explain your answer
Answers
3 to 11
3/11
A ratio is basically a fraction comparing how much of a number to another.
Answer:
6:2212:4430:110Step-by-step explanation:
3 × 2 = 6, 11 × 2 = 22; put them together: 6:223 × 4 = 12, 11 × 4 = 44; put them together: 12:443 × 10 = 30, 11 × 10 = 110; put them together: 30:110I hope this helps!
Find the values of a, b, and c in the equation
below.
a=
b=
c=
Answers
Answer:
x to the 12th power, y to the 3rd power and z to the 11th power
Step-by-step explanation:
Answer:
on edge its
a=12
b=2
c=11
hope this helps
Step-by-step explanation:
The area of a rectangular pool is 8342 m .
If the width of the pool is 86 m, what is its length?
Answers
Answer:
97 meters
Step-by-step explanation:
The area of a rectangle is its length multiplied by its width. Substitute the known values into this equation and solve for the length, l:
a = lw
8342 = 86l
l = 97
A man can run 1 mile in 6 minutes. How fast is this measured in feet per second?
How fast is this measured in miles per hour? Hint: 5280 feet=1 mile
Answers
316800
Step-by-step explanation:
Last month, John lost money by selling stocks. His investment income was -\$525−$525minus, dollar sign, 525. This month, John's investment income is \$163$163dollar sign, 163. What does this mean?
Answers
Answer:
it means that John GAINED $163 by selling stocks.
Step-by-step explanation:
Express 7.6109 x 10⁸
Answers
Answer:
761090000
Step-by-step explanation:
10⁸ = 100000000
7.6109 * 100000000 = 761090000
Answer:
761090000
Step-by-step explanation:
=7.6109×10^8
=761090000
ANS
9. Horizontally arranged elements in a matrix is called *
O Columns
O ROWS
O Determinants
O Transpose
Answers
Answer:
Rows...............
Step-by-step explanation:
Hope this helps ☺
can anyone please help me
Answers
The number gets smaller, so it has to go to the left.
3.0 x 10^-2 would then be .03.
A friend of yours wants to teach a dance class after school. She needs to rent a dance studio to teach the class, and the cost of rent is $400 for 12 weeks. The class will meet each week and your friend will charge each student the same fee for the whole course. Your friend's profit depends on how many students enroll in the course and how much she charges each student.
If your friend charges each student D dollars for the course, define a function, p, that relates the number of students who take the dance course, n, to the profit, p(n).
Answers
Answer:
maybe the answer is 157 ok
what is 4.89 times 6.3 in dollars and cents plz i really need help!:(
Answers
Answer:
$30.81
Step-by-step explanation:
4.89 x 6.3 = 30.807 = 30.81 (rounded)
30 dollars
81 cents
Answer:
36.18
Step-by-step explanation:
Karen buys apples and bananas for the daycare center she runs. The apples cost $1.50 per pound, and the bananas are $0.50 per pound. The table shows the amounts of apples and bananas she has purchased the previous six weeks. Apples, x (pounds) 5 10 7 3 9 12 Bananas, y (pounds) 5 5 12 14 9 2 This week, Karen will spend $20.50 on apples and bananas. Write an inequality that describes both the amounts of apples and bananas she has purchased in the past six weeks and the amounts she may buy this week. Enter the correct answer in the box. Write your answer in the form ax + by = c, using the appropriate inequality symbol in place of the equal sign.
Answers
Answer:
Step-by-step explanation:
Simplify (32)2
A) 9
B) 18
C) 27
D) 81
Answers
Answer:
D) 81
Step-by-step explanation:
I think cause you would do 3 by the second power so that would be 9 then 9 the the second power would be 81 so yeah good luck
Answer:
D is your correct answer
Step-by-step explanation:
Well first things first if we want to simplify with a base and an exponent we can use product of two powers with like bases.
-------------------------
Example/model of product of two powers with like bases:
x^m + n (adding the exponents)
-------------------------
If we add those two exponents you get 3^4. Then if you do 3 x 3 x 3 x 3 = ?
What do you get? You get 81. Hope this helpss! Good luck!!
help please i WILL GIVE BRAINLIST :)
Answers
Answer:
yup
Step-by-step explanation:
asfbguagsfiuahef
PLEASE HELP
A plane flies at a steady rate of 40 mph while a second plane flies at a steady rate of 100 mph. The planes are 200 miles apart and fly directly toward each other. In how many hours will they meet?
Answers
Answer:
1.43 hours
Step-by-step explanation:
Given that:
Speed of plane A = 40 mph
Speed of plane B = 100 mph
Distance between plane A and B = 200 m
In how many hours will they meet?
Recall :
Distance = speed * time
Let the time traveled by each plane = t
Since the total distance apart = 200m
Hence,
Plane A distance + Plane B distance = total distance
40t + 100t = 200
140t = 200
Divide both sides by 140
140t / 140 = 200 / 140
t = 1.4285 hours
t = 10/7 hours or 1.43 hours
5th one pls help me .....
Answers
x² + y² = 6xy
or, (x + y)² - 2xy = 6xy
or, (x + y)² = 8xy
or, (x + y)² = 2³xy
Taking (log) in both sides, we get
log (x + y)² = log (2³xy)
or, 2 log (x + y) = log (2³) + logx + logy
or, 2 log (x + y) = 3 log2 + logx + logy
there hopefuly it help!!!
A scientist has two acid solutions: Artesia, which is a $70\%$ acid solution, and Borromeo, which is a $20\%$ acid solution. (a) Find the amount of Artesia (in mL) that must be added to $500$ mL of Borromeo in order to produce a $60\%$ acid solution. (b) Find the amount of Artesia and Borromeo (in mL) that can be combined in order to form a $100$ mL solution that is $55\%$ acid. (c) Does there exist a combination of Artesia and Borromeo that is $80\%$ acid?
Answers
Answer:
(a) 2000 mL
(b) 70 mL, 30 mL
(c) No
Step-by-step explanation:
Given that Artesia is a 70% acid solution, and Borromeo is a 20% acid solution.
(a) Let x mL of Artesia is added to 500 mL of Borromeo to produce a 60% acid solution.
So, 70% of x + 20% of 500 = 60% of (x+500)
[tex]\Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times (x+500) \\\\\ \Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times x+0.6 \times500\\\\ \Rightarrow 0.7 \times x -0.6 \times x= 0.6 \times500- 0.2 \times 500 \\\\ \Rightarrow (0.7-0.6) \times x = (0.6-0.2) \times500\\\\\Rightarrow 0.1 \times x = 0.4 \times500\\\\[/tex]
[tex]\Rightarrow x = (0.4 \times500)/0.1=2000[/tex] mL.
(b) Let x mL of Artesia and y mL be combined in order to form a 100 mL solution having 55% acid solution.
So, x+y=100\Rightarrow y= 100-x
And, 70% of x + 20% of y = 55% of (100)\\\\
[tex]\Rightarrow 0.7 \times x + 0.2 \times (100-x) = 0.55 \times 100\\\\\Rightarrow 0.7 \times x + 0.2 \times 100- 0.2 \times x = 0.55 \times 100\\\\\Rightarrow 0.7 \times x -0.2 \times x= 0.55 \times100- 0.2 \times 100 \\\\\Rightarrow (0.7-0.2) \times x = (0.55-0.2) \times100\\\\\Rightarrow 0.5 \times x = 0.35 \times100\\\\[/tex]
[tex]\Rightarrow x = (0.35 \times100)/0.5=70[/tex] mL.
and y= 100-x= 100-70=30 mL.
(c) Let x mL of Artesia and y mL of Borromeo be combined in order to make 80% acid solution.
And, 70% of x + 20% of y = 80% of (x+y)
[tex]\Rightarrow 0.7 \times x + 0.2 \times y= 0.8 \times (x+y)\\\\\Rightarrow 0.7 \times x + 0.2 \times y = 0.8 \times x +0.8 \times y\\\\\Rightarrow (0.7-0.8) \times x = (0.8-0.2) \times y\\\\\Rightarrow -0.1 \times x = 0.6 \times y \\\\\Rightarrow \frac {x}{y} = -6 \\\\[/tex]
As x and y are amount of Artesia and Borromeo, so x>0 and y>0
[tex]\Rightarrow x/y >0[/tex], so the negative value of x/y is not possible.
Ad the negative value of x/y is not so x/y=-6 is not possible, hence, any combination of Artesia and Borromeo that is 80% acid solution is not possible.
How do you turn 0.06 into a frac
Answers
Answer:
6/100
Step-by-step explanation
Answer:
First write 0.06 as 0.06/1. Them mutliply by 100 so 0.06 times 100/ 1 times 100 this equals 6/100. Simplfy and you will fet 3/50 te anwer
Step-by-step explanation:
Plz Mark Brainliest Thanks
