There are 13 books on a shelf. 8 of these books are new. The rest of them are used. What is the ratio? (PICTURE)
Answer:
(a) 5:13
(b) 5:8
Step-by-step explanation:
There are 13 books in all.
8 books are new.
13 - 8 = 5 books are used.
Ratio of used books to all books: 5 used books : 13 books in total.
Ratio of used books to new books: 5 used books : 8 new books.
~
Answer
A= [tex]\frac{5}{13}[/tex] Or 5:13
B= [tex]\frac{5}{8}[/tex] or 5:8
Step-by-step explanation:
the question asked for you to show the ratio for the number of used books compared to the total number on the shelf. Since it tells us that 8 of the 13 books are new that would mean that the other 5 books that are on the shelf with the 8 new ones would be used. Then you just put it in a ratio, which if im remembering correctly from when i learned this it just looks like a fraction basically. Same goes for the second question except you are just putting the number of used books to the number of new books in ratio form. Hope this helps and also if you need help learning ratios i gotchu covered :)
A committee must be formed with 3 teachers and 3 students. If there are 10 teachers
to choose from, and 15 students, how many different ways could the committee be
made?
Answer:
54,600 ways
Step-by-step explanation:
i hope you understand this
A tank contains 1000L1000L of brine with 20kg20kg of dissolved salt. Pure water enters the tank at a rate of 15L/min.15L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. Answer the following questions. 1. How much salt is in the tank after tt minutes
Answer:
there is 15[tex]e^{ \frac{-t}{100}[/tex] amount of salt in the tank after t minute.
Step-by-step explanation:
Given the data in the question;
tank contains 1000L of brine with 20kg of dissolved salt, Pure water enters the tank at a rate of 15L/min.
How much salt is in the tank after t minutes.
Now,
let x represent the amount of salt after t minutes,
so
x(0) = 15
dx/dt = rate in - rate out
Now, since the water entering is pure, the rate in is 0
rate out will be; x/1000 × 10 kg
∴
dx/dt = -x/100
[tex]\frac{1}{x}[/tex]dx = -[tex]\frac{1}{100}[/tex]dt
∫[tex]\frac{1}{x}[/tex]dx = -[tex]\frac{1}{100}[/tex]∫1dt + c
lnx = -[tex]\frac{t}{100}[/tex] + c
Now since x(0) = 15
ln15 = c
lnx = -[tex]\frac{t}{100}[/tex] + ln15
x = [tex]e^{ \frac{-t}{100} + ln15[/tex]
x = 15[tex]e^{ \frac{-t}{100}[/tex]
Therefore, there is 15[tex]e^{ \frac{-t}{100}[/tex] amount of salt in the tank after t minute.
A type of cat food contains chicken bones and chicken pieces in the ratio 20:7. What
weight of chicken pieces is needed to make 2 kg of cat food?
Answer:
0.5185 kg are needed to make 2 kg of cat food
Step-by-step explanation:
Chicken bones and chicken pieces in the ratio 20:7
This means that [tex]\frac{20}{20 + 7} = \frac{20}{27}[/tex] of the total weight is of bones and [tex]\frac{7}{27}[/tex] is of pieces.
What weight of chicken pieces is needed to make 2 kg of cat food?
7/27 of 2kg. So
(7/27)*2 = 14/27 = 0.5185 kg
0.5185 kg are needed to make 2 kg of cat food
a) How does the distance traveled and time elapsed compare for Carrie and Kevin as they traveled from mile marker 225 to mile marker 230?
Answer:
They travelled the same distance and they spent the same amount of time from the 225 marker to 230 marker.
Step-by-step explanation:
Given
See attachment for graph
Required
The relationship between distance and time travelled by Kevin and Carrie
The straight line represents Kevin's journey while the curve represents Carrie's
From the graph, we can see that the straight line and the curve both start at the origin (0,0) and they both end at the same point (17,5)
Point (17, 5) represents the 230 marker (i.e. 225 + 5 - 230)
Since the line and the curve meet at this point, then they travelled the same distance and they spent the same amount of time.
How many centimeters are equal to 9 meters? Enter your answer in the box.
Answer:
900 centimetres
Step-by-step explanation:
9x100=900
Nếu đồ thị của y=f(x) đi qua điểm (0,1), và dy/dx=xsin(x^2)/y, thì f(x)= ?
См. картинку во вложении, ответ отмечен красным цветом.
If two pencils cost $1.50 how many pencils can you buy with $9.00?
Answer:
12 PENCILS
Step-by-step explanation:
1.50 / 2 = .75
9.00/0.75 = 12
Trong không gian với hệ tọa độ Oxyz cho điểm A( 1;2;1) , mặt phẳng ( ) : 4 0 x y z và
mặt cầu ( ) : 1 1 4 36 S x y z 2 2 2 . Gọi (P) là mặt phẳng đi qua A , vuông góc với ( ) và
đồng thời (P) cắt mặt cầu (S) theo giao tuyến là một đường tròn có bán kính nhỏ nhất. Biết rằng phương
trình của mặt phẳng (P) khi đó là ax by cz a b c 1 0 ( , , ) . Tính giá trị biểu thức T a b c 2 .
A. T 5
.
B. T 3
.
C. T 10
.
D. T 1
.
Answer:
lỗi text rồi. ko đọc dc :))
Besties pls help!!!!
8) In the diagram below, what is the m
measure of R.
Let's see what we can fill in here.
<ACE = 130
180 - 50 = 130
Now that we have two sides and an included angle, we can use the Law of Cosines.
Law of Cosines: c^2 = a^2 + b^2 - 2ab(cos(C))
Let's plug in what we know and solve!
c^2 = 40^2 + 38^2 - 2(40)(38)(cos(130))
R = 70.69706
Hope this helps!! :)
Answer:
R =70.6970629
Step-by-step explanation:
We need to use the law of cosines since we have 2 sides and the included angle
The angle inside is 180 -50 = 130
c^2 = a^2 + b^2 − 2ab cos(C) where c is the side opposite the unknown angle
R^2 = 40^2 + 38^2 - 2*40 *38 cos (130)
R^2 = 1600 -1444-3040cos 130
R^2 = 3044-3040cos130
R^2 =4998.074333
Taking the square root of each side
sqrt(R^2) = sqrt( 4998.074333)
R =70.6970629
Can someone please help me with this question they are 2 different questions, separate them please I need them right now ):
Answer:
7. [tex]BC=22[/tex]
8. [tex]EF=8[/tex]
Step-by-step explanation:
7.
It is given that triangle (ABC) is similar to triangle (DEF). This means that triangle (DEF) is a scaled version of the triangle (ABC). Between these two triangles, there is a ratio. This ratio referred to as the ratio of similitude, is a factor that one multiplies a side of the triangle by, to get the length of the corresponding side in the other triangle. This number can be found by dividing the corresponding sides in the triangle.
As per the given picture, side (AB) corresponds to side (DE). Therefore divide side (AB) by (DE) to find the ratio of similitude,
[tex]\frac{AB}{DE}=\frac{10}{5}=2[/tex]
Multiply side (EF) by the ratio of similitude to find the length of its corresponding side (BC).
[tex]2(EF) = 2(11) = 22[/tex]
[tex]BC=22[/tex]
8.
The triangles (ABC) and (DEF) are similar. One can use the same logic applied to the last problem to solve this problem. For further reference, read the intro written to explain the process used to solve the problem (7).
One can see that sides (AB) and (DE) are corresponding sides, divide (DE) by (AB) to find the ratio of similitude;
[tex]\frac{DE}{AB}=\frac{4}{6}=\frac{2}{3}[/tex]
Now multiply this number by side (BC) to find the length of the corresponding side (EF);
[tex](BC)*\frac{2}{3}=EF\\12*\frac{2}{3}=EF\\8=EF[/tex]
Find the amount to administer
Ordered: Vistaril 0.4 g PO BID
On Hand: Vistaril 25 mg/5 mL
Answer:
3mg per BID vistrail
Step-by-step explanation:
What is the perimeter of parallelogram WXYZ?
In the diagram, WZ=root26
Answer:
Step-by-step explanation:
incomplete question.
What one is the answer a B or C
Answer:
1
Step-by-step explanation:
a it is 1 because
can u see perpedicular symbol
Answer:
1 line.
A perpendicular line is a line that meets another line and forms a 90° angle.
If you look at the diagram, only the middle line forms a 90° angle when it meets line AB
Write and equation of a line that passes through (-5, 6)
and is perpendicular to x=-2
Answer:
Step-by-step explanation:
Perpendicular means opposite reciprocal as far as the slope goes. The thing we need to know without prompting is that the given slope of x = -2 is a perfectly vertical line with an undefined slope, and that a line perpendicular to this one would have to be a perfectly horizontal line. Slopes of perfectly horizontal lines is always 0. Therefore, filling in the point-slope form of a line using the slope of 0 and the given point:
y - 6 = 0(x -(-5)) and
y - 6 = 0(x + 5) and
y - 6 = 0x + 0 so
y - 6 = 0 and
y = 6.
what is –6,486 ÷ –69 =
Answer:
94
Step-by-step explanation:
Answer:
The answer is 94.
Step-by-step explanation:
The answer is positive because a negative divided by a negative equals a positive.
Cora's dad has asked Cora and her little brothers to rake the leaves in their yard. They rake all afternoon and fill a number of bags with leaves. Then, when Cora isn't looking, her brothers empty 6 of the bags to make a giant leaf pile! Cora is frustrated that only 5 bags of leaves remain. What equation can you use to find the total number of bags b that Cora and her brothers fill with leaves?
Answer:
11
Step-by-step explanation:
because they empty 6 bags and there are 5 bags left to that is 11 all together
The total number of bags of leaves b is given by the equation b = 11 bags
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 total number of bags be = b
The number of bags emptied by Cora's brother = 6 bags
The number of bags left with Cora = 5 bags
So , the equation will be
The total number of bags b = number of bags emptied by Cora's brother + number of bags left with Cora
Substituting the values in the equation , we get
The total number of bags b = 6 + 5
The total number of bags b = 11 bags
Therefore , the value of A is 11 bags
Hence , the number of bags of leaves is 11 bags
To learn more about equations click :
https://brainly.com/question/19297665
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The heights of the men age 18 and over in HANES5 averaged 69 inches; the SD was 3 inches. Suppose the histogram of their heights follows the normal curve. Such a man that is 6 feet tall is at the percentile of this height distribution. (Enter the nearest whole number.) What is the 25th percentile, to the nearest inch
Answer:
a) 84th percentile.
b) The 25th percentile is of 67 inches.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The heights of the men age 18 and over in HANES5 averaged 69 inches; the SD was 3 inches.
This means that [tex]\mu = 69, \sigma = 3[/tex]
Such a man that is 6 feet tall is at the percentile of this height distribution.
6 feet = 6*12 inches = 72 inches. So this percentile is the p-value of Z when X = 72. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{72 - 69}{3}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.84, so 84th percentile.
What is the 25th percentile, to the nearest inch
X when Z has a p-value of 0.25, so X when Z = -0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 69}{3}[/tex]
[tex]X - 69 = -0.675*3[/tex]
[tex]X = 67[/tex]
The 25th percentile is of 67 inches.
If y varies inversely as the square root of x, what is the constant of proportionality if y = 16 when x = 4?
7. If ∠EAC measures 120oand ∠HBI measures 84o, find the measure of ∠BCA.
A.m∠BCA = 60
B.m∠BCA = 84
C.m∠BCA = 36
D.m∠BCA = 54
Given:
m∠EAC = 120° and m∠HBI = 84°.
To find:
The measure of ∠BCA.
Solution:
If two lines intersect each other then the vertically opposite angles are equal.
[tex]\angle HBI \cong \angle ABC[/tex] (Vertically opposite angles)
[tex]m\angle HBI = m\angle ABC[/tex]
[tex]84^\circ = m\angle ABC[/tex] ...(i)
If two angles forms a linear pair, then their sum is 180 degrees.
[tex]m\angle BAC+m\angle EAC=180^\circ[/tex] (Linear pair)
[tex]m\angle BAC+120^\circ=180^\circ[/tex]
[tex]m\angle BAC=180^\circ-120^\circ[/tex]
[tex]m\angle BAC=60^\circ[/tex] ...(ii)
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
[tex]m\angle ABC+m\angle BAC+m\angle BCA=180^\circ[/tex] (Angle sum property)
[tex]84^\circ+60^\circ+m\angle BCA=180^\circ[/tex] [Using (i) and (ii)]
[tex]144^\circ+m\angle BCA=180^\circ[/tex]
[tex]m\angle BCA=180^\circ-144^\circ[/tex]
[tex]m\angle BCA=36^\circ[/tex]
Therefore, the correct option is C.
Solve for x in the diagram below
Answer:
26.67
Step-by-step explanation:
(-64c)(-1) if c = -1.
Answer:
-64
Step-by-step explanation:
Solve using the quadratic formula
Answer:
-5, -1/2
Step-by-step explanation:
I could only show half of the steps, but you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps.
The number of employees for a certain company has been decreasing each year by 7%. If the company currently has 510 employees and this rate continues, find the number of employees in 11 years.
Answer:
230
Step-by-step explanation:
a = 510(0.93)^t
a = 510(0.93)^11
a = 229.5528082951
Rounded
a ≈ 230
Question Progress
Homework Progress
54/118 Marks
A semicircle has radius 8.2 cm.
Work out the area of this semicircle.
Take a to be 3.142 and give your answer to 1 decimal place.
Answer:
Area = 105.6 square cm
Step-by-step explanation:
[tex]Area \ of \ circle = \pi r^2\\Area \ of \ semi-circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.142 \times 8.2^2 = 105.6cm^2[/tex]
What is 5x5 answer for a cookie
Answer:
25
Step-by-step explanation:
joe has read 30 % of a book. He has 63 more pages to finish. How many pages are there in the book?
Answer:
90 pages
Step-by-step explanation:
30% complete
70% to go = 63 pages
t = total number of pages
0.7t = 63
∴ t = ⁶³/₀.₇
⁶³/₀.₇ = 90
A Chippendale style curio with a selling price of $229 was advertised at $129. The cost price
is $78, and overhead is estimated at 45% of the cost price. Determine whether a sale results in a profit or a loss
Answer:
the results of the sale is profit
SOMEBODY HELP ME ASAP
Answer:
B. 3x = 90
Step-by-step explanation:
m<QPS + m<RPS = m<QPR
Let m<RPS = x
Then m<QPS = 2x
2x + x = 90
3x = 90
Answer: B. 3x = 90
18. One way to show that a statement is NOT a good definition is to find a _____
Answer:
Counterexample
Step-by-step explanation:
Counterexample ensures that you are stating your point or opinion and you firmly oppose their general opinion.