Complete question:
A book shop sold fiction books and cartoon books at a ratio of 3:5. Then, it sold four times as many fiction books and 40% more cartoon books. As a result, it sold 800 more fiction books than cartoon books. How many fiction and cartoon books were sold altogether in the end?
Answer:
3040
Step-by-step explanation:
Given the following :
Sales ratio = 3:5 (fiction : cartoon)
Let total number of books sold = x
Fiction books = 3x
Cartoon books = 5x
Four times as many fiction books = 4 × fiction books = 4*(3x) = 12x - - - (1)
40% more cartoon books = 40/100 = 0.4
5x(1.40) = 7x - - - (2)
As a result, 800 more fiction books than cartoon :
Fiction - cartoon = 800
12x - 7x = 800
5x = 800
x = 160
Substitute x into (1) and (2)
Fiction books : 12(160) = 1920
Cartoon books : 7(160) = 1120
1920 + 1120 = 3,040
2 to the Third power -(30÷5) +9
Answer:
11
Step-by-step explanation:
2^3-(30/5)+9
First, you divide 30/5 because it is in parentheses and we are following this rule for order of operations:
P- parentheses
E- exponents
M- multiplication
D- division
A- addition
S- subtraction
so 30/5 = 6 and plugged in is:
2^3-(6)+9
Next, we do exponents:
2^3 = 2x2x2 = 8
plugged back in:
8-(6)+9
Now, we do the math from left to right so:
8-6=2
2+9=11
11 is your answer
unghiurile ∢AOB și ∢COD sunt unghiuri opuse la vârf, O ∈ AC, iar PO ⊥ BD, P∈ Int ∢AOD. Dacă ∢COP = 133°, aflați măsurile unghiurilor ∢AOB și ∢BOC.
Răspuns:
<AOB = 43 ° și <BOC = 137 °
Explicație pas cu pas:
Găsiți diagrama atașată pentru o mai bună explicație a întrebării.
Din diagramă, <COP = <DOP + <COD
Deoarece <DOP = 90 ° și <COP = 133 °, la înlocuire
133 ° = 90 ° + <COD
<COD = 133 ° -90 °
<COD = 43 °
Deoarece <COD = <AOB (unghiuri direcționate opuse), deci <AOB = 43 °
Pentru <BOC:
Suma unghiurilor pe DBO dreaptă este de 180 °.
<BOC + <COD = 180 °
Dat <COD = 43 °
<BOC + 43 = 180 °
<BOC = 180 ° -43 °
<BOC = 137 °
Prin urmare, <AOB = 43 ° și <BOC = 137 °
When it is 9:00 P.M. in Tokyo, what time is it in Rio de Janeiro?
Answer:
Since Tokyo is 12 hours ahead of Rio de Janeiro so it'll be 9 :00 am in Rio de Janeiro when it's 9 :00 pm in Tokyo.
hola....................
Answer:
hello is Hola
Step-by-step explanation:
Now you know
Answer:
hola
Step-by-step explanation:
Solve the equation.
-3x + 1 + 10x = x + 4
O x =
О O
이에
x = 12
O x= 18
Answer:
your answer is 1/2
hope this helped you
please mark as the brainliest (ㆁωㆁ)
When the national economy goes from bad to better, market research shows changes in the sales at various types of
restaurants. Projected 2011 sales at quick-service restaurants are $164.8 billion, which was 3% better than in 2010. Projected 2011 sales at
full-service restaurants are $184.2 billion, which was 1.2% better than in 2010. How will the dollar growth in quick-service restaurants sales
compared to the dollar growth for full-service places?
which figure is not a rhombus
Answer:
anything that isnt quadrilateral with all equal sides is not a rombus
Step-by-step explanation:
plz thank and rate!! maybe even brainiest :D
can somone help!!! Which two consecutive integers does − √183 lie between? A) 13 and 14 B) 14 and 15 C) −13 and −14 D) −14 and −15
Answer:
the answer would be C
Step-by-step explanation:
Answer:
-13/-14 c is correct
Step-by-step explanation:
what does B equal ? please help me
Answer:
108
Step-by-step explanation:
These are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
A = B
6x+18 = x+93
Subtract x from each side
6x+18 -x = x+93-x
5x +18 = 93
Subtract 18 from each side
5x + 18-18 = 93-18
5x =75
Divide by 5
5x/5 = 75/5
x = 15
Angle B
x+93
15+93
108
Answer:
Solution given:
<A+<B=180°[ alternate exterior angle are equal]
6x+18=x+93
6x-x=93-18
5x= 75
x=15
now
<B=15+93=108°
Sam and John live on the same street. John is 1 year older then twice Sam’s age. When you sum their ages you get37.How old are each of them
Answer:
15
Step-by-step explanation:
Answer:
12 and 25
Step-by-step explanation:
2x+1+x=3x+1
37-1=36
36/3=12
12*2+1=25 and 12
please help answer asap
Answer:
I think it is 9 but I'm not sure
Evaluate the function.
f(x) = 5-(7+x)+2, find f(3).
Answer:
-3
Step-by-step explanation:
For f = 5 - (7 + x) + 2, substitute x with 3.
f = 5 - (7 + 3) + 2
f = 5 - 10 + 2
f = -5 + 2
f = -3
I hope this helps!
A local garden center recorded the number of each type of fruit tree sold last month.
Apple:14
Apricot:8
Cherry:16
Pear:28
Plum:12
Write the ratio that compares the number of apple trees sold to the number of trees sold last month
Answer: 14:78
Step-by-step explanation: The number of apple trees sold last month was 14. The number of trees sold overall was 78. So, the ratio would be 14:78
35,892 rounded to nearest 10
Answer:
35,890
...........
Answer:
35,890
Step-by-step explanation:
The 9 is the tens digit.
Every digit to the right of 9 becomes 0.
Start with: 35,890
Now you check the first digit to the right of the tens digit. If it is from 5 to 9, the tens digit goes up 1. If it is from 0 to 4, the tens digit remains the same.
In this case, the digit to the right of the tens digit is 2. Since 2 is from 0 to 4, the 9 remains as is and does not go up by 1.
Answer: 35,890
A researcher is studying psychological factors in artistic achievement among teenage boys. One variable he is particularly interested in is perseverance.
1. What information does a measure of variability for the variable perseverance convey?
2. What is the most common value for the variable perseverance among teenage boys?
3. How spread out are the values for perseverance among teenage boys?
4. What is the central tendency for the variable perseverance among teenage boys?
5. What is the average value for the variable perseverance among teenage boys?
Answer:
How spread out are the values for perseverance among teenage boys?
Step-by-step explanation:
1. What is the most common value for the variable perseverance among teenage boys? - This deals with MODE. Hence, this option is not correct because the problem does not deal with a specific value of the perseverance variable but about the variability of the perseverance variable
2. What is the central tendency for the variable perseverance among teenage boys? - This deals with the MEDIAN. However, since the problem is about determining dispersion, and not a central tendency, it is incorrect.
3. What is the average value for the variable perseverance among teenage boys? - This deals with the MEAN. Hence, it is not correct either.
However, since the given situation deals with a measure of variability for the variable perseverance conveys, the correct answer is "How spread out are the values for perseverance among teenage boys?" Because it measures how far are the observation away from the center.
2. Maya has a piece of fabric in the shape of a parallelogram. Its height is 12 feet and its base is 18 feet. She cuts the fabric into four equal parallelograms by cutting the base and the height in half. What is the area of each new parallelogram?
Answer:
54 square feet each
Step-by-step explanation:
So she has a parallelogram, 12 feet high and 18 feet long. She cuts them into fours, which is basically just cutting each number in half. 12÷2 is 6. 18÷2 is 9. Now each four parallelograms all have the measurements of 6 feet high and 9 feet wide. To find area, you would multiply and the base times height. 6 x 9 gives you 54 square feet.
8-4(2 - 5x) - 3(2x - 3) = 9 + 14x
I need help
Answer:
x = any real number
Step-by-step explanation:
Any real number makes this true
3x+7y=37 and x=3 then y= In
Answer:
y=4
Step-by-step explanation:
Since x is given, substitute the x value to the equation:
3(3) +7y=37
9+7y=37
7y=28
y=4
what two prime nummberss addup to 18,26,30
Answer:
For 18- 11 +7
For 26-13+13
For 30- 23+7
A rolling pin has a diameter of 5 inches. If Lin rolled across the table and it made 35 rotations how far did it travel?
Answer:
2.22 rotations
Step-by-step explanation:
First, have to multiply the diameter by Pi. 5 * π = 15.7
15.7 is the circumference because the formula for circumference is d * π = c (diameter=d, circumference=c)
Next, 35/15.7 is 2.22.
You divide the 35 by 15.7 because if 15.7 inches is one rotation, then you want to see how many rotations fit into 35.
The rolling pin travels a distance of 549.5 inches in 35 rotations.
What is a sphere?A sphere has a spherical, symmetrical form. It is a three-dimensional solid with equal distances between each surface point and the center.
Given that, the diameter of the rolling pin is 5 inches.
The circumference of the rolling pin is:
5π
= 5×3.14
=15.7
Therefore, the rolling pin covers 15.7 inches in one rotation.
1 rotation = 15.7 inches
35 rotation = 35 ×15.7 inches
35 rotation = 549.5 inches
Hence, the rolling pin travels a distance of 549.5 inches in 35 rotations.
Learn more about the spheres:
https://brainly.com/question/11374994
#SPJ3
M
Part A: m
Part B: M
Simplify the expression: (3m + 1)(2)
Answer:
6m + 2
Step-by-step explanation:
To simplify the expression you must have to use the distributive property:
(3m + 1)(2)
2 x 3m = 6m
2 x 1 = 2
6m + 2
Perform the operation.
(–2x2 – 2x + 1) + (-8x2 – 7)
Select the correct images on the graph.
Identify which shapes on the graph are congruent to shape I by performing these sequences of transformations on shape I:
a 90° clockwise rotation about the origin and then a reflection across the x-axis;
a 90° counterclockwise rotation about the origin and then a reflection across the x-axis; a 180° rotation about the origin and then a translation right 4 units;
Answer:
the dark purple in the bottom, brown reddish one light purple one in the bottom
Step-by-step explanation:
Answer: it is the three at the bottom
Step-by-step explanation:
im on edmentum
What is this formula?
Answer:
This is the quadratic formula that is used to solve quadratic equations.
Answer:
quadratic formula
Step-by-step explanation:
[tex]x = \frac{-b + / - \sqrt{b^{2} - 4ac } }{2a}[/tex] is called the quadratic formula
If the numerator of a fraction is increased by 3, the fraction becomes 3/4. If the denominator is decreased by 7, the fraction becomes 1.
What is the numerator of the fraction?
A. 2
B. 9
C. 16
I will give brainlist to the one who gets the answer right....
Answer:
B
Step-by-step explanation:
Assuming the denominator is 16 (to fit with the second part), 9+3 is 12 and 12/16 is 3/4.
If we take 7 from 16 we also get 9, which is thus 1.
Grains of sand are very small, there being about 3000 grains in one cubic centimeter (cm3) of sand. A cm3 is a small cube measuring one cm on each side and is about the size of your little finger from the fingernail onward. Given that there are one million cubic centimeters (cm3) in one cubic meter (m3), how many grains are there in 1 m3of sand
Answer:
The value is [tex]x = 3.000 * 10^9 \ grains[/tex]
Step-by-step explanation:
From the question we are told that
[tex]1m^3 = 10^6 cm^3[/tex]
And that
[tex]3000 \ grains \ of \ sand \ is \ in \ 1cm^3[/tex]
So the number of sand grain that is in [tex]1m^3[/tex] is mathematically evaluated as
[tex]x = 3000 * 10^6 \ grains[/tex]
=> [tex]x = 3.000 * 10^9 \ grains[/tex]
A store bought a grandfather clock at a cost of $150 and marked it up 60%. Later on, the
store marked it down 55%. What was the discount price?
A group of 33 people attended a ball game. There were twice as many children as adults in the group. Set up a system of equations that represents the number of adults and children who attended the game and solve the system to find the number of adults and the number of children who were in the group.
Answer:
1.2a+a=33
2.3a=33
3.a=11
Step-by-step explanation:
Which is greater? 85% or 4/5
Answer:
85%
Step-by-step explanation:
4/5 is the equivalent to 80% so therefore the answer to your question, 85% is bigger than 4/5.
Answer:
85% is greater then 4/5
