Answer:
-3 is the solution set of the following equation
A math book comprises of two sections: arithmetic and geometry in the ratio 5:3. How much of each type of content will be needed to make a book of 480 pages?
Answer:
Arithmetic content = 300 pages
Geometric content = 180 pages
Step-by-step explanation:
Arithmetic : Geometry = 5 : 3
Total pages of book = 480
How much of each type of content will be needed to make a book of 480 pages?
Total ratio = arithmetic + geometric
= 5 + 3
= 8
Arithmetic content = 5 / 8 × 480
= 0.625 × 480
= 300
Arithmetic content = 300 pages
Geometric content = 3 / 8 × 480
= 0.375 × 480
= 180
Geometric content = 180 pages
a shipping crate is a perfect cube with volume of 2,197 cubic feet. the ceiling of the warehouse is 14 feet high. will the crate fit in the warehouse explain why
Answer:
As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.
Step-by-step explanation:
Given that
Volume of cube = V = 2197 cubic feet
Side of cube = a =?
Height of ware house = h = 14 feet
In order for the crate to fit in the warehouse the height of crate has to be less than the height of warehouse i.e. a<h
In order to check this we have to find the side/height of crate
So,
[tex]V = a^3\\2197 = a^3[/tex]
Taking cube root on both sides
[tex]\sqrt[3]{a^3} = \sqrt[3]{2197}\\\sqrt[3]{a^3} = \sqrt[3]{13^3}\\ a = 13\ feet[/tex]
So the height of cube is 13 feet.
Comparing the height of c and height of ware house we can conclude that
Height of Warehouse > Height of crate
h>a
14>13
As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.
The ratio of fiction to non-fiction books at school library is 3 to 5. If there are 240 books in the library how many non-fiction books are in the library?
Answer:
150
Step-by-step explanation:
The ratio is 3:5, so you can make this equation:
[tex]3x+5x=240[/tex], because for any integer x, the ratio will stay the same.
solve that:
[tex]3x+5x=240\\8x=240\\x=30[/tex]
We're not down yet!
we need to find 5x, not x.
[tex]5*30=150[/tex]
There are 150 non-fiction books in the library.
check!
150+90=240
The are 150 non-fiction books are in the library.
What is ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
The ratio of fiction to non-fiction books at school library is 3 to 5.
Total books = 240
So, the number of non fiction books
= 240 x 5/8
= 30 x5
= 150
Hence, there are 150 non fiction book.
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32 lbs of apples cost $160. How much would 25 lbs cost? *
Answer:
$125
Step-by-step explanation:
If you divide 160 by 32 you will get 5 then you will multipy 5 by 25 to get $125
Answer
125$
Step-by-step explanation:
5x32=160
5x25=125
Each pound of apples is equivalent to 5$
Find the area of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer. b x=10 in. PLS HELP WILL MARK AS BRIANLIEST PLSS
Given:
Side length of square is x = 10 in.
To find:
Area of a square with side length x when x = 10 in.
Check whether the area of a square and the length of its side directly proportional.
Solution:
Area of square is
[tex]Area=(side)^2[/tex]
[tex]Area=x^2[/tex]
For x=10, we have
[tex]Area=(10)^2[/tex]
[tex]Area=100[/tex]
Therefore, the area of square is 100 sq. in. when x=10 in.
For x=1,
[tex]A_1=1^2=1[/tex]
[tex]\dfrac{A_1}{x_1}=\dfrac{1}{1}=1[/tex]
For x=2,
[tex]A_2=1^2=4[/tex]
[tex]\dfrac{A_2}{x_2}=\dfrac{4}{2}=2[/tex]
Here, [tex]\dfrac{A_1}{x_1}\neq \dfrac{A_2}{x_2}[/tex].
Since, [tex]Area=(side)^2[/tex] and ratio of area and sides are not always same, therefore the area of depends on the side but not directly proportional to its side.
'Solve 4x- c= k for x.
Answer:The answer would be x=c+k/4
Step-by-step explanation:
The required solution for the equation ax -c = k for x is x = (k + c)/4.
Given that,
To determine the solution of the equation 4x- c= k for x.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
4x - c = k
Now, simplifying the above equation for x,
4x - c = k
4x = c + k
x = (c + k) / 4
Thus, the required solution for the equation ax -c = k for x is x = (k + c)/4.
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Write the slope-intercept form for the equation of the line.
Quadratic functions q and ware graphed on the same coordinate grid.
The vertex of the graph of g is 18 units below the vertex of the graph of w.
Which pair of functions could have been used to create the graphs of q and w?
Answer:q(x)=18x^2 and W(X) = x^2
Step-by-step explanation:
The pair of functions that used for developing the graph of g and w is [tex]q(x)=18x^2\ and\ W(X) = x^2[/tex]
What is the vertex of the parabola?The vertex of a parabola should be the point where the parabola crosses its axis of symmetry. In the case when the coefficient of the x2 term is positive, so the vertex will be the lowest point on the graph.
Since The vertex of the graph of g is 18 units below the vertex of the graph of w so the above functions should be considered.
Therefore, The pair of functions that used for developing the graph of g and w is [tex]q(x)=18x^2\ and\ W(X) = x^2[/tex]
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If the equation y=2x-1 is translated down six units, the new equation would be...
Answer:
2x-6
Step-by-step explanation:
have a nice day!! :))
A town population of 14000 and grows 3.5% every year. What will be the population after 14 years to the nearest whole number
Answer:
22662
Step-by-step explanation:
Since the growth is exponential, your equation will be y = a • b^x. a being the beginning amount, b the percentage it increases by, and x is the time taken.
y = 14000 • 1.035^14
= 22661.72
Round your answer since people can only be integers and your answer is a population of 22662
The graph shows the number of each kind of book in Hero's personal library. A book is
chosen randomly.
What is the probability that the book is a romance book?
Answer:
[tex]\displaystyle p=\frac{1}{15}[/tex]
Step-by-step explanation:
Probability
The simple probability of a random event can be calculated as the ratio between the possible favorable cases and the total possible cases.
The pie chart shows the number of books in Hero's library grouped by category.
The total number of books is 14 + 10 + 4 + 2 = 30
The number of romance books is 2
Thus, the probability of randomly choosing a romance book out of the total books is:
[tex]\displaystyle p=\frac{2}{30}[/tex]
Simplifying:
[tex]\mathbf{\displaystyle p=\frac{1}{15}}[/tex]
This corresponds to the first option
Answer:
1/15
or
[tex]\frac{1}{15}[/tex]
explanation:
Question - Which image shows a 90 degree clockwise rotation about the origin?
Can somebody help me with this. Will mark brainliest!
Answer:
Choice 1!
Step-by-step explanation:
y= -1/2x-3 . Pease answer quickly, thank you <3
Answer:
Step-by-step explanation:
y = f(x) = - [tex]\frac{1}{2}[/tex] x - 3
f(- 4) = - [tex]\frac{1}{2}[/tex] (- 4) - 3 = - 1
f( - 2) = - [tex]\frac{1}{2}[/tex] (- 2) - 3 = - 2
x ║ - 4 ║ - 2 ║ 0 ║ 2 ║ 4 ║
y ║ - 1 ║ - 2 ║ - 3║- 4║- 5║
does 27 divided by 5 result in 5 and 6
Answer:
27 divided by 5 = 5.4
Step-by-step explanation:
26=6k+8-6+2k
Need ASAP
Answer: k = 3
Step-by-step explanation:
Answer:
k=3
Step-by-step explanation:
26=6k+8-6+2k
combine all common integers from the same side, (8-6) and (6k+2k).
8-6=2
6k+2k=8
Which now translates the equation to 26=8k+2.
26=8k+2
continue by moving the (2) to the other side, do so by subtracting 26-2.
26-2=24
24=8k
Lastly, move the 8 to the other side of the equation by dividing 24/8.
24/8=3
Therefore, k=3
Spectrum word problems Grade 8 HELP
Answer:
add all the numbers up in 1 2 3 4 and 5
Step-by-step explanation:
Answer:3 4 5 7
Step-by-step explanation:
11) How many kilograms of How many kilograms of calcium are there
in 173 pounds of calcium? (1 lb = 454 g; 1
kg 1000 g)
A) 78.5 kg
B) 110 kg
C) 78500 kg D) 1.10 kg
The kilogrammes of calcium found in 173 pounds of calcium is = 78.5 kg. That is option A.
First convert the 173 pounds of calcium to gramma
1 lb(pounds) = 454 g;
Therefore 173 pounds = 173 ×454
= 78,542g
But, 1000 g = 1kg
Therefore, 78542g = 78542 ÷1000
= 78.542
=78.5kg.
Therefore, the kilogrammes of calcium found in 173 pounds of calcium is = 78.5kg.
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What is the length of BC?
O 11
O 23
O 40
O 60
Plz help
Answer:
BC = 40
Step-by-step explanation:
Answer:
X=23
BC = 40
Step-by-step explanation:
LaShawn solved the equation below to the determine the solution. 3 x minus 8 = negative x + 4 (x minus 2) How many solutions does LaShawn’s equation have? zero one two infinitely many
Answer: D
D-infinitely many
Step-by-step explanation:
Took the Analyzing Solutions quiz on Edge 2020
Answer: D
D-infinitely many
Step-by-step explanation:
Edge 2020
Which inequality is represented by the number line?
PICTURE ATTACHED PLEASE HELP ME!!!
Answer:
A i think
Step-by-step explanation:
cause its gonna be more than 6- so yeah if it is right then b
Thomas went to the store to buy video games for $13.50 each and controllers that cost $55 each and controllers. the total amount that Thomas spent can be represented by c=13.50+p, where c is the total cost, g is the number of games he bought, and p is the cost of the controllers. the controllers cost $55 and Thomas spent $136 total
Answer:6 games
Step-by-step explanation:
Thomas spent a total of 136 dollars so you subtract 55 from 136 and divide by 13.50 to get 6.
is 2/5 a rational number , irrational number, whole number , or integer?
Answer:
Rational number
Step-by-step explanation:
An irrational number is like pi, something that you can never write down completely.
2/5 is not a whole number, or an integer because it's a fraction of a number.
PLEASE HELP :(
Mario is spending the day at the county fair. The admission ticket costs $10.00. Each ride ticket costs $2.50.
Which equation can be used to find y, the total cost of Mario’s day at the fair, given x represents the number of ride tickets he purchases?
y = 2.50x + 10
y=2.50(x+10)
y = 10x + 2.50
y=2.50x−10
Answer:
y = 2.50x + 10
Step-by-step explanation:
y=mx+b
x=number of rides
y=cost
Answer:
a is the answer
Step-by-step explanation:
Ariana borrowed some money from her friend in order to help buy a new video game system. Ariana originally borrowed $150 and agreed to pay back her friend $15 per week
Answer:
if it how long it will it take to pay her friend back its 135 weeks
Step-by-step explanation:
One number is 2 less than a second number.twice the second number is 37 more than 5 times the first. Find more the two number
Answer:
The numbers are -11 and -9.
Step-by-step explanation:
The two numbers are x and y.
x = y - 2
2y = 5x + 37
2y = 5(y - 2) + 37
2y = 5y - 10 + 37
3y = - 27
y = -9
x = - 11
!!!!!!!!!!!!!!!!!!!!!
Answer:
x = 22°
3x + 2 = 64°
Step-by-step explanation:
All angles in a triangle must add up to 180°
90 + x + 3x + 2 = 180
Rearrange and collect like terms and place them on either side
4x = 88
x = 22°
3x + 2
3(22) + 2
= 64°
Find all solutions by factoring.
c? + 13c + 40 = 0
Answer: c = -5, -8
Step-by-step explanation:
c^2 +13c+40=0
(c+5)(c+8)=40
c = -5, -8
£100 will buy lunches for 80 school children for 5 days
work out the cost of buying lunch for one school child for one day
I will only mark brainest and rate a 5 star if you show working out pls and the correct answer and working out
80 children x 5 days = 400 total lunches.
£100 / 400 lunches = £0.25 per lunch
The cost for one lunch for one student is £0.25
Matt wants to play in the sand pit, and then try the swings, the slide, and the seesaw, in that order. If the units on the coordinate plane are in yards, how many yards will Matt cover between the sandpit and the seesaw?
A.
12 yards
B.
15 yards
C.
18 yards
D.
25 yards
E.
29 yards
Answer:
it should be 12
i think :)
i hope im correct
Step-by-step explanation:
Which event prevented Descartes from publishing The World after he was done writing the book? serving as a soldier during the Thirty Years’ War accepting an invitation to tutor the queen of Sweden awaking from sleep due to three vivid dreams learning of Galileo’s imprisonment
Answer:
Learning of Galileo’s imprisonment
Step-by-step explanation:
I just went over this last week and i am 100% sure that this is correct