Directions: Solve for the missing proportion in each of the following problems.
9. 12/n = 20/25
10. 5/8 = n/24
11. 2/3 = 16/n
12. 12/14 = n/21
13. n/10 = 6/15
14. 12/3 = 10/n
15. 5/n = 10/16
16. 12/8 = 4/n
Answer:
Step-by-step explanation:
9) 12/n=20/25
simplify 20/25=4/5
12/n=4/5
cross product
n*4=12*5
4n=60
n=60/4
n=15
The missing proportion in each of the following problems shown below:
What is equation?Statement of equality between two expressions consisting of variables and/or numbers
9) 12/n=20/25
12/n=4/5
n*4=12*5
4n=60
n=60/4
n=15
10) 5/8=n/24
8n= 5*24
8n= 120
n= 120/8
n=15
11) 2/3= 16/n
2n=48
n=24
12) 12/14= n/21
n=18
13) n/10 = 6/15
n=4
14) 12/3 = 10/n
n= 2.5
15) 5/n = 10/16
n=8
16) 12/8 = 4/n
n=8/3
Learn more about equation here:
https://brainly.com/question/10413253
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Suppose that the scores on a statewide standardized test are normally distributed with a mean of 64 and a standard deviation of 2. Estimate the percentage of scores that were (a) between 60 and 68.
Answer:
95. 45%
Step-by-step explanation:
Given :
Mean score, = 64
Standard deviation = 2
Score between 60 and 68
P(Z < (x - mean) / standard deviation)
P(Z < (60 - 64) / 2) = P(Z < - 2) = 0.02275 (Z probability calculator)
P(Z < (68 - 64) / 2) = P(Z < 2) = 0.97725 (Z probability calculator)
P( score between 60 and 68)
P(Z < 2) - P(Z < - 2)
0.97725 - 0.02275 = 0.9545
Score between 60 and 68 = 0.9545 = 0.9545 * 100% = 95.45%
find the sum of the series
√2 - 2 + 2√2 +__+64√2.
Step-by-step explanation:
The question is not clear to me
Can someone help solve the problems 2-4
Answer:
1234567891011121314151617181920
Step-by-step explanation:
you just count
What value of g makes the equation true?
Answer:
[tex](x + 7)(x - 4) \\ = { \tt{ {x}^{2} + 7x - 4x - 28 }} \\ = { \tt{ {x}^{2} + 3x - 28 }} \\ { \boxed{ \bf{g \: is \: 3}}}[/tex]
Answer:
g=3
Step-by-step explanation:
Hi there!
To find the value of g, we can expand the two binomials using the distributive property:
[tex](x+7)(x-4)\\= x(x-4)+7(x-4)\\= x^2-4x+7x-28\\= x^2+3x-28[/tex]
Therefore, the value of g that makes the equation true is 3.
I hope this helps!
PLEASE I NEED HELP WITH THIS ONE
Answer:
H
Step-by-step explanation:
When h=0,t=45.
so we can exclude F.
When h=10,t=15.
only H satisfiy the condition.
Answer:
H
The line shows an inverse proportionality between temperature and time:
[tex]{ \tt{t \: \alpha \: \frac{1}{h} }} \\ \\ { \tt{t = \frac{k}{h} }}[/tex]
Slope or change:
[tex] = \frac{45 - 30}{0 - 5} \\ = - 3[/tex]
y-intercept:
[tex]c = 45[/tex]
General equation:
[tex]y = - 3x + 45[/tex]
Please help me .. I really need help with this ASAP
Given:
Number of flower pots = 6
To find:
The number of ways of the gardener to arrange the flower pots.
Solution:
Number of ways to arrange n items is n!.
So, the number of ways to arrange 6 pots is:
[tex]6!=6\times 5\times 4\times 3\times 2\times 1[/tex]
[tex]6!=720[/tex]
Therefore, there are total 720 ways of the gardener to arrange the flowerpots.
What is the degree & leading coefficient?
h(t) = 0.2t^3 - 4t^2 +20t
Answer:
degree=3
coefficient=0.2
the 28th term of an ap is -5,find the common difference if the first term is 31
Answer:
The common difference is -4/3.
Step-by-step explanation:
Recall that the direct formula for an arithmetic sequence is given by:
[tex]\displaystyle x_n=a+d(n-1)[/tex]
Where n is the nth term, a is the initial term, and d is the common difference.
We are given that the first term a is 31.
We also know that the 28th term is -5. Hence, x₂₈ = -5. Substitute:
[tex]\displaystyle x_{28}=-5=(31)+d(28-1)[/tex]
Solve for d. Simplify:
[tex]-5=31+27d[/tex]
Thus:
[tex]\displaystyle 27d=-36[/tex]
Divide both sides by 27. Hence, the common difference is:
[tex]\displaystyle d=-\frac{36}{27}=-\frac{4}{3}[/tex]
Answer:
-4/3
Step-by-step explanation:
This question is equivalent to:
Find the slope of a line going through points (28,-5) and (1,31).
*Arithmetic sequences are linear. The common difference is the slope.
Any ways to find the slope line the points up and subtract vertically. Then put 2nd difference over 1st difference.
(28,-5)
(1,31)
---------subtracting
27, -36
So the slope or the common difference of this line or arithmetic sequence is -36/27. This reduces to -4/3.
Find value of x.
A. 110
B. 47
C. 68
D. 112
Answer:
B
Step-by-step explanation:
The sum of the inner angles of a quadrilateral is 360 degrees
135 + 110 + 68 + x = 360
313 + x = 360
x = 47 degrees
Answer:
47
Step-by-step explanation:
whole thing is 360 degrees
68 + 110 + 135 = 313
360 - 313 = 47
x looks small too (if you had to guess in a multiple choice question)
Can someone please be generous & help I’ve been struggling all night
Answer:
Slope-intercept
y = 3/4(x) - 7
Point slope
y -5= 3/4(x - 16)
Step-by-step explanation:
In slope-intercept
We have the general slope intercept as;
y = mx + b
where m is the slope and b is the y-intercept
in this case, m = 3/4 and b = -7
So we have;
y = 3/4(x) - 7
In point-slope
we have the general form as;
y-y1 = m(x-x1)
So what we have is as follows;
y -5= 3/4(x - 16)
Where we have (x1,y1) = (16,5)
Please help, it is a graph question
Answer:
[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]
Step-by-step explanation:
choose 2 points to find slope
(1,1) (-3,-1)
[tex]m = \frac{ - 1 - 1}{ - 3 - 1} = \frac{1}{2} [/tex]
y-y1 = m(x-x1)
y-1 = 1/2( x-1)
y = 1/2x + 1/2
guessing
y= 1/2x + 1/2
did y2 - y1/ x2-x1
which gave
-3
-6
also it passed through the y axis at +1/2
I swear imma fail this class
Answer:
use mathpapa If that helps, it a math calculator
At a school concert the total value of tickets sold was $4452. Student tickets sold for $8 and adult tickets sold for $12. The number of adult tickets sold was 7 less than 4 times the number of student tickets. Find the number of student tickets sold.
Answer:
there is 81 student and 317 adults adults :) got u
Step-by-step explanation:
4452 = 8n + (4n-7)12
4452 = 8n + 48n - 84
4536 = 56n
81 = n
Select all of the equations below that are equivalent to:
w + 13 = –8
Answer:
w= -21
Step-by-step explanation:
Evaluate x^-2 for x = -3 plsss i really need help on this thank you
Answer: -1/9
Step-by-step explanation:
Answer:
- 1/9 OR -0.111....
Step-by-step explanation:
Make x= -3
-3^-2= -1/9
What's 70 x4 I just wanna see if it’s really going to help me
Step-by-step explanation:
70
*4
___
280.......ans
Which sentence represents the inequality -2b + 7 > 27.5?
A)Two times a number, plus seven, is less than twenty-seven and five tenths.
B)Two times a number, plus seven, is greater than twenty-seven and five tenths.
C)Negative two times a number, plus seven, is fewer than twenty-seven and five tenths.
D)Negative two times a number, plus seven, is greater than twenty-seven and five tenths. (Worth 10 points)
Answer:
C , negative two times a number, plus seven , is fewer than twenty-seven and five tenths
Answer:
D
Step-by-step explanation:
I got it right on edge
can anyone help with integers?
Fill in the blanks.
6) 83 + 17 = 17 +
7) |46| – |50| =
8) 42 – 2 + (18 – 10) =
9) 18 – (3 – 1) =
10) 8 - 0 =
Answer:
a) 83,b) -4,c) 48,d) 16,e) 8
URGENTT!!!! help quick please
If the 5th term in a geometric sequence is 162, and the common ratio is 3. What is the first term in the sequence?
Answer:
2
Step-by-step explanation:
a2 = a1×3
a3 = a2×3 = a1×3×3
=>
an = an-1 × 3 =
[tex]a1 \times {3}^{n - 1} [/tex]
a5 = 162 = a1×3⁴ = a1×81
a1 = 162/81 = 2
A rectangular prism and a pyramid have congruent bases and equal altitudes.Wha is the retio between the volume of the pyramid to the volume of the rectangular prism.What is the answer
Answer:
The required ratio is 1 : 3.
Step-by-step explanation:
Let the length is L, width is W and the height is H.
Volume of the prism is
V = LW H
Volume of the pyramid
V' = 1/3 L W H
Ratio of volume of pyramid to the prism is
[tex]\frac{V'}{V} = \frac{1}{3}[/tex]
Factor 60 − 36w, to identify the equivalent expressions.
Step-by-step explanation:
60-36w6(10-6w)hope it helps
stay safe healthy and happy..Answer:
all of the answers are correct
Step-by-step explanation:
The
hypothesis
represents the statistical claim that the company's
tablet computers have an average recharge time of
less than 3 hours.
Answer:
Alternative
Step-by-step explanation:
Answer:
U=3 , U<3 , alternative
Step-by-step explanation:
Where do the light-dependent reactions of photosynthesis occur in a plant cell? Choose 1 answer:
A) Chloroplast; stroma
B) Mitochondrion: thylakoid membrane
C) Chloroplast; thylakoid membrane
D) Chloroplast: outer membrane
Answer:
C) Chloroplast; thylakoid membrane
Step-by-step explanation:
The question is a biological science question
The light-dependent reactions also known as the light reactions take place at the location site of the chlorophyll of the plant cell, within the chloroplast thylakoid membrane, and involves the energizing of the electrons within the pigment molecules, the electrons are then transferred through a transport chain within the thylakoid membrane
The dark reactions take place inside the stroma
Therefore, the correct option is chloroplast; thylakoid membrane
At the beginning of the chemistry experiment, Lisa measured the temperature of a liquid to be -5°C. During the experiment, she measured the liquid 3 times and the results showed, its dropped 9°C, rose 25°C, and drop 15°C. What was the liquid temperature at the end of the experiment?
Answer:
-4°C
Step-by-step explanation:
At the beginning of the chemistry experiment the temperature of the liquid was -5°C and it dropped 9°C so you do:
-5°C - 9°C = -14°C
The answer is -14°C for the first part of the question because when you are subtracting a positive number from a negative number you have to add the two numbers together but your answer will always be a negative number.
Then you add 25°C to -14°C:
-14°C + 25°C = 11
Because when adding a negative number to a positive number that is bigger than the negative number you have to subtract but your answer will always be a positive number, however if the positive number is smaller than the negative number your answer will be a negative number.
Then you subtract 11°C from 15°C:
11°C - 15°C = -4°C
Because when you subtract a number that is bigger than the first number you get a negative number.
Question
The quotient of a number and 5 has a result of 2. What is the number?
Answer:
10.
Step-by-step explanation:
Answer:
The number is 10.
Step-by-step explanation:
x/5 = 2
Multiply both sides by 5.
5 * x/5 = 5 * 2
x = 10
Answer: The number is 10.
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be needed?? Solve fast
Answer:
1500
Step-by-step explanation:
The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,
[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]
And , the number of tiles required will be ,
[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]
Hence the required answer is 1500 .
Determine the measure of the interior angle at vertex C. PLEASE HELP ASAP
Answer:
B. 120°
Step-by-step explanation:
Sum of the measures of the interior angle of a polygon with n sides:
(n - 2)180
We have a pentagon, a 5-sided polygon, so n = 5.
We first find the sum of the measures of the angles of any pentagon.
(5 - 2)180 = 3(180) = 540
From the figure, we add the measures of the 5 angles and set the sum equal to 540°.
3x + 4x + 4x + 4x + 3x = 540°
18x = 540°
Divide both sides by 18.
x = 30°
The angle at vertex C measures 4x.
4x = 4 * 30° = 120°
Answer: B. 120°
Yu Xing paid 3.60 dollar for 2 pens after a 10 percent discount .What was the usual price of 1 pen.
Answer:
2 $
Step-by-step explanation:
let the original price be x
price after 10% discount = 3.60$
[tex]x - \frac{10}{100} \times x = 3.60 [/tex]
[tex] \frac{100x - 10x}{100} = 3.60 \\ \frac{90x}{100} = 3.60 \\ 9x = 36 \\ x = 4[/tex]
The original price of 2 pens is 4$
original price of one pen = 4/ 2
= 2 $